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/(-342888)*(-4)/294. 1/91 What is the value of ((-312)/14)/((-5340)/(-6230))? -26 Evaluate (((-735)/28910)/((-3)/8))/((-7)/((-21)/(-6))). -2/59 ((-108)/(-294))/(4/(-224))*(-952)/408 48 What is the value of (((-16)/6)/((-7864)/(-20643)))/35? -1/5 Evaluate 154/7*(-804)/25058. -12/17 What is ((-8)/7)/(558/1085)? -20/9 Evaluate ((-28)/42)/(544/24)*4. -2/17 Calculate (-139925)/(-120625)*25/2. 29/2 Calculate (-50)/(-5)*12*7/105*(-7081)/776. -73 Evaluate ((-155)/651*-9)/(9*2/3). 5/14 What is the value of (5682636/140312)/(6/(-2)*2/8)? -54 What is the value of (668/3507*108)/(4/(-14))? -72 (49/((-6517)/57))/((135/120)/((-333)/(-12))) -74/7 Calculate (78050/26760)/(10/(-12)). -7/2 Calculate ((-438)/(-9))/2*25/100*-12. -73 Calculate 15/(-42)*-6*18/(-330)*-77. 9 What is the value of (-49*2/8)/(121/(-484))? 49 What is the value of (8/(-10))/((23/3)/((17880/1008)/149))? -2/161 What is (15*(-100)/27000)/(1/10)? -5/9 Calculate (1/(-7))/((-240)/(-560))*39. -13 Evaluate (((-12)/(-243))/2*(-600)/40)/(1075/1290). -4/9 What is the value of (-22)/(-6)*(-21)/(-1)*(-776)/2716? -22 What is the value of 6930/252*8/(-50)*195/26? -33 ((-3)/2)/(((-3179)/68)/(-187)) -6 What is ((-2)/(-6))/(((-335984)/(-249))/(-184))? -1/22 Calculate ((-8)/(320/8))/((17/(-459))/(10/(-114))). -9/19 What is the value of (1323/(-36))/(-49)*(-8)/42*14/124? -1/62 42/(-69)*41*(-5)/(-1435) -2/23 What is (-3006)/668*(-4)/(-35)*(-100)/(-6)? -60/7 Calculate (-10999)/13587*36/(-136). 3/14 ((-3)/(-5))/(40299/(-3030))*7/2 -3/19 Calculate ((-188)/(-6))/(((-24)/27)/(((-33600)/(-540))/(-140))). 47/3 Evaluate (((-24)/108)/(2/3))/(26/((-1872)/(-54))). -4/9 What is the value of 30/51*2982/4970? 6/17 Calculate (5688/553)/(4/7). 18 What is the value of ((-7)/455)/((-180)/3600)? 4/13 Calculate (-2)/5*(-121)/((-1936)/480). -12 32/672*-54*10/(-15) 12/7 (1*7)/((((-27839)/(-328))/(-97))/(9/(-4))) 18 Evaluate (4/6)/(8*66/(-48312)). -61 Calculate (-20)/(-18)*(-6072)/(-368)*6*1. 110 What is the value of (2/(-5))/(((-14)/(-20)*-4)/(6240/7800))? 4/35 What is the value of ((-98)/(-6))/((-107870)/693450)? -105 ((-21)/(-945)*-12)/((-12)/(-18)*-5) 2/25 What is the value of ((-20)/(-30))/(358/(-6981))? -13 What is the value of ((21315/71050)/(14/20))/(1/(-133))? -57 What is 81/(-189)*(-280)/180*-1? -2/3 Evaluate 6/(-2)*(-45)/(-75)*(-39)/39*-10. -18 What is ((-256)/(-12288))/(5/200)? 5/6 What is the value of ((-78)/(-15)*(-20)/16)/(((-345)/90)/(-23))? -39 Calculate (-84)/4*((-2324)/504)/83*6. 7 Calculate (30/(-60)*(-12)/(-82))/(2*117/(-52)). 2/123 What is the value of ((-5)/(-50)*245/(-196))/(-3*(-4)/64)? -2/3 What is (-2926)/(-4)*(-22338)/212211? -77 Evaluate (((-6)/(-48))/(-1))/(132/(-352))*24/100. 2/25 What is 30/(-12)*(-23694)/12565? 33/7 What is ((-18)/(-4)*(-50)/30)/(10*(-14)/112)? 6 (5418/(-3822))/(-43)*(-39)/(-6) 3/14 216/32*(-16896)/2376 -48 (-3)/((-21)/2)*514/(-2313)*42/44 -2/33 Evaluate ((-35)/2380*-34)/(4/170*5/12). 51 Calculate (6/27)/(((-147)/392)/((-1485)/44)). 20 What is ((-3)/240)/(3/5*129/(-387))? 1/16 What is the value of 4884/(-1110)*(((-70)/(-2))/1)/(-2)? 77 What is ((748/(-85))/22)/((-28)/(-1330))? -19 Calculate 15*48/(-45)*(-384)/(-1536). -4 (((-17170)/(-1111))/(-170))/((-1)/(-26)) -26/11 Calculate -292*2/(24/9*(-33)/(-11)). -73 What is the value of ((-11)/(264/192))/((-22)/(-2))? -8/11 Calculate (40*(-16)/448)/((-4)/((-112)/(-10))). 4 What is the value of -260*25/(-6000)*(12/(9/3))/(-1)? -13/3 Calculate (-3)/3*-13*(-11)/(-286)*-66. -33 400/(-8)*(-10)/(40/(-4)) -50 Calculate 12052/(-21091)*126/(2/2). -72 What is the value of (125/(-20))/5*(-108)/1350? 1/10 Calculate 2*4290/104*188/(-235). -66 Calculate 380/15*6489/5871. 28 Evaluate (255/(-9))/(1559/4677). -85 Evaluate ((-19)/((-4959)/(-6)))/(((21/3)/7)/(-3)). 2/29 Evaluate ((-18)/(-46368)*28)/(-6*1/16). -2/69 Evaluate (11/((-726)/(-168)))/(3/((-132)/(-4))). 28 Evaluate 9/21*174237/16594. 9/2 Evaluate ((-6408)/(-11748)*(-154)/35)/(((-9)/190)/3). 152 (30480/4572)/(12/81) 45 (1/(-9))/((455/(-7))/(-1950)) -10/3 Evaluate (106/(-53))/(1*((-15)/(-108))/(-5)). 72 Calculate ((-3)/(-15))/((-708)/885)*7. -7/4 (-17)/1105*13*-2*(-680)/96 -17/6 What is the value of ((-2025)/(-625))/27*5/(315/14)? 2/75 27/6*((-432)/90)/(9/(495/(-22))) 54 Calculate -5*2*(-2)/20*(-46)/(-92)*-22. -11 Evaluate (38272/(-39))/(-16)*4*(-12)/64. -46 What is the value of ((-48)/(-33))/(-17*(-22)/2057)? 8 What is the value of 7420/(-2226)*42/(-8)? 35/2 Calculate (7*(-4)/312)/((-336)/(-96)). -1/39 What is 628/(-628)*3/(9/21)? -7 Calculate (-790)/((-212)/3074*-145). -79 What is ((-85)/(-3))/((-2)/18*(-65)/13)? 51 Evaluate (((-288)/56)/((-21)/(-98)))/((-12)/16*2). 16 What is the value of (-3*12/18)/((-27)/22032*-48)? -34 What is the value of (((-1)/((-10)/4))/(31/(-2015)*-338))/3? 1/39 Calculate (-38)/((-3420)/(-550))*(-76)/95. 44/9 What is (-112)/(-15624)*-31*45/24? -5/12 What is the value of 4*2*(-6744)/(-1124)? 48 Calculate (-2)/(-3)*(-22545)/(-18370). 9/11 ((-29)/((-1653)/(-95)))/((-17)/(-561)) -55 Calculate 10*1*(14278/(-220))/59. -11 Evaluate 2/((6/(-8)*(-51)/(-9))/((-6822)/4548)). 12/17 Evaluate ((-60)/(-6))/(-2)*(2304/80)/6. -24 What is the value of (-29)/((-4437)/(-170))*21*28/(-245)? 8/3 Evaluate 273231/(-21685)*(-10)/6. 21 (-95)/((-19000)/240)*(-1505)/14 -129 Evaluate (50*4/50)/(4/(20/185)). 4/37 ((44/(-16))/11)/(110/(297000/525)) -9/7 What is the value of 2142/567*(-45)/20? -17/2 What is the value of (18/(-225)*-5)/(2/((-20)/146))? -2/73 What is (194/291)/((-2)/(-2))*(-846)/(-15980)? 3/85 What is the value of (-4)/(-3)*-165*(-798)/(-1672)? -105 Evaluate ((-88978)/34021)/(3/(-234)*2). 102 Evaluate 106908/(-906)*2/(-4). 59 Evaluate (((144/270)/(-4))/(-34))/(3/18). 2/85 Evaluate (((-649)/2)/(-11))/(29/(1102/19)). 59 (2240/1680)/((-8)/(-258)) 43 Evaluate ((-195)/90)/(1/(63/(-6))*115/460). 91 Evaluate (1341/(-4917))/((-684)/88). 2/57 Evaluate (1*(-10)/(-5)*-2)/(-1*(-5566)/23). -2/121 Calculate (141/(-9306))/(2/(-231)). 7/4 Evaluate ((-16)/28*(-126)/(-27)*-9)/(-1). -24 Evaluate (-11847)/2872*704/(-99). 88/3 What is 1078/(-33)*531/177? -98 Evaluate (-70)/6*((-30)/200)/((-20)/(-4800)*-10). -42 What is (339/7345)/(3/40)? 8/13 What is 33/168*7*-2*80/20? -11 What is (-920)/(-690)*1/(4/60)? 20 What is the value of 6468/14553*(-9)/(-22)? 2/11 Evaluate (10/(-140))/(1020/1785). -1/8 What is the value of (-1148)/41*(32/8)/24? -14/3 What is (612/306)/(((-216)/(-96))/(6/(-32)))? -1/6 282/(-15)*(-695)/(-556)*2/2 -47/2 What is ((-21)/(-24)*42)/((-138)/(-184))? 49 Calculate (45/(-20))/(6210/(-13800)). 5 What is the value of 33*(-32)/(-1056)*6/(11*-12)? -1/22 Evaluate 4*(-2)/(-84)*329/(-235)*(-15)/9. 2/9 Evaluate -49*(-60)/(-2940)*42/75. -14/25 ((-42)/2)/((-4039)/(-10386)) -54 3830/(-20682)*4/(-10)*-3 -2/9 What is ((2/12)/(244/(-366)))/(3*(-4)/528)? 11 Calculate ((-4)/(-22))/(31/((-8525)/1275)). -2/51 (-18)/9*(1551/165)/(4/10) -47 (33350/(-92))/(-29)*(-2)/(-5) 5 What is (((-1365)/52)/15)/(980/(-84))? 3/20 What is the value of (3/(-4))/(-3)*481/(-156)*-12*-4? -37 What is (((-425)/3570)/((-225)/27))/(2/(-12))? -3/35 Calculate 48*((-36)/504*2)/1. -48/7 (112/(-48))/((-7)/87) 29 What is the value of ((-2)/11)/((-889)/(-244475))? -50 Evaluate (-12)/(-15)*405/(-9882). -2/61 Evaluate ((6/28)/(6/168*36))/(4/(-15)). -5/8 1558*(-51)/(-3876)*2*-1 -41 What is the value of (-5486)/422*(-31)/(10075/6)? 6/25 Calculate (-30)/12*(-36)/(-1260). -1/14 What is 144/(-288)*16/(-28)? 2/7 Evaluate 50/(-675)*(-84)/28. 2/9 (-209)/570*(-264)/2178 2/45 ((-15)/(-66))/(49/(8428/(-215))) -2/11 What is (-8)/26*495/33440*-16*(-19)/6? -3/13 ((-1844283)/(-25497))/((-21)/36) -124 Evaluate (-3)/(-6)*(-27)/(2700/2). -1/100 What is the value of (10*(-44)/110)/(84/(-966))? 46 Evaluate 15*46/(-828)*-42. 35 (1120/(-19950))/((-344)/(-215)) -2/57 What is 16/1*(629/370)/17? 8/5 What is the value of (336/(-882))/(((105/5)/(-42))/((-7)/(-3)))? 16/9 Evaluate (72/(-10))/((-110022)/8335). 6/11 ((-1)/3*-1)/(175/105)*40 8 Calculate (30/42*4/(-10))/((-975)/(-910)). -4/15 What is (-1*(-2)/2)/(199*(-11)/(-153230))? 70 (-64)/(20*(-54)/1080) 64 (-3)/(-6*19/8664*4) 57 Evaluate ((-8)/((-768)/60))/((-28)/24*15/(-7)). 1/4 Calculate (777/(-222))/(15/180). -42 What is the value of (105/14)/(24840/(-3450)*2/12)? -25/4 Calculate (203/((-92568)/(-1710)))/(3/4). 5 What
{ "pile_set_name": "DM Mathematics" }
+ 490*a*p - 2*c*p Find the third derivative of 2241*a**4 - 4*a**2 - 26*a. 53784*a Find the third derivative of -9207*s**3 + 13767*s**2 wrt s. -55242 Find the second derivative of 529*c**2*u + 388*c*u - u wrt c. 1058*u What is the third derivative of -227*h**6 + 6*h**2 - 17 wrt h? -27240*h**3 Find the second derivative of -2*f**3*w**3 - 931*f**3*w**2 + 10*f**3*w + 430*f**2*w wrt w. -12*f**3*w - 1862*f**3 What is the third derivative of -15*h**2*k**4*x + h**2*k**2*x**2 - 28*h**2*k**2*x + 2*h*k**2*x - 2*k**4 - 10*k**3*x**2 - k**2*x wrt k? -360*h**2*k*x - 48*k - 60*x**2 Find the third derivative of -2*v**6 - 139*v**5 - 6*v**4 + 250*v**2 - 12*v + 2. -240*v**3 - 8340*v**2 - 144*v Differentiate 174*d**2*n**3 - 1791*n**3 wrt d. 348*d*n**3 What is the third derivative of -2*k**4*q**3 - 12*k**4 - 30*k**3 - 30*k**2*q**3 + k**2*q**2 + 4*k*q**3 - q**3 wrt k? -48*k*q**3 - 288*k - 180 What is the second derivative of -3468*u**3 - 182*u + 21? -20808*u Find the second derivative of -1405*j**3*r**2 + 2*j**3 - j**2*p*r**2 - 1404*j*p*r**2 - 2*p*r**2 + 2*r**2 wrt j. -8430*j*r**2 + 12*j - 2*p*r**2 Differentiate -2*c*w**2 - 2*c*w + 7537*c + 77*w**2 - 2*w with respect to w. -4*c*w - 2*c + 154*w - 2 What is the first derivative of -2*h*r**3 - 2*h*r*y + 2*h*y - 17*h - 2*r**4*y - 2*y wrt r? -6*h*r**2 - 2*h*y - 8*r**3*y Find the third derivative of -3*c*t**3 - 48*c - 16*i**2*t**3 - i**2*t**2 + i**2 - 11*i*t**3 wrt t. -18*c - 96*i**2 - 66*i What is the second derivative of 721*g**2*m**5 + 6*g**2*m - 10*m**5 + 2*m + 1 wrt m? 14420*g**2*m**3 - 200*m**3 What is the third derivative of -39*h**3*m**3 - 10*h**3*m**2*x**3 + h**2*m*x**3 - 18*h*m**3*x**3 + 28*m*x**3 wrt h? -234*m**3 - 60*m**2*x**3 What is the second derivative of -42*f**2*q**2 - f**2*q + 45*f*q wrt q? -84*f**2 Find the first derivative of -5421*o**2 + 8762. -10842*o Find the second derivative of 3*f**3*w + 4*f**2*w**2 - f**2*w - 10*f*w**2 - 4*f - 3 wrt f. 18*f*w + 8*w**2 - 2*w Find the second derivative of -35*o**2*v**2*w - 2*o**2*w**3 - o*v**2*w**3 - o*v + 68*o*w**3 + 2*v**2*w**3 wrt o. -70*v**2*w - 4*w**3 Differentiate -4237*q**4 - q**3 - q**2 - 842. -16948*q**3 - 3*q**2 - 2*q Find the second derivative of -529*v**4 - 2*v**2 - 281*v wrt v. -6348*v**2 - 4 What is the third derivative of 2009*h*x**3 - 2*h*x**2 - h - 320*x wrt x? 12054*h What is the second derivative of 2*q**3*w**3 - 42*q**3 - 3*q**2*w + 519*w**3 - 9*w wrt w? 12*q**3*w + 3114*w What is the first derivative of -2*i**2*j**2 - 13*i**2*j + 378*i**2 - 2*i*j**2 wrt j? -4*i**2*j - 13*i**2 - 4*i*j Find the third derivative of 541*c*m**3 + 458*c*m**2 wrt m. 3246*c Differentiate 3*q**2*v**3 - 18*q**2*v**2 + q*v**3*x + 2*v**3*x - v**3 + 2*v**2 wrt q. 6*q*v**3 - 36*q*v**2 + v**3*x What is the third derivative of 9*s**2*w**3 - 46*s**2*w + 6*s*w**2 - 3*w**5 + 5*w**3 + w**2 wrt w? 54*s**2 - 180*w**2 + 30 What is the first derivative of -1545*d*i*w**3 + 134*i - 2*w**3 wrt d? -1545*i*w**3 Find the third derivative of -1970*v**4 - 7*v**2 - 5*v - 11 wrt v. -47280*v What is the third derivative of 68*c**3*k*t**2 - 7*c**3*k*t*y + 3*c**2*k*t**2*y - c*k*t**2*y + k*t**2 + k wrt c? 408*k*t**2 - 42*k*t*y Differentiate -217*k**2 - 3*k + 12504 with respect to k. -434*k - 3 Find the third derivative of -3*a*f*p**4 + a*f - 3*f*p**3 + 69*f*p**2 - 8*f*p - 12*p**4 + 2*p**2 wrt p. -72*a*f*p - 18*f - 288*p What is the second derivative of 289*z**2 + 79*z - 1 wrt z? 578 Find the third derivative of -122*j**6 + 6*j**5 + 1233*j**2 wrt j. -14640*j**3 + 360*j**2 Find the third derivative of -792*h**3 - 28*h**2 + 9. -4752 What is the derivative of -2*v*w**4 + 10*v*w**2 + v + 17*w**4 + 614 wrt w? -8*v*w**3 + 20*v*w + 68*w**3 What is the first derivative of b*n**4 - 2*b*n - 188*b - 6*n**4 wrt n? 4*b*n**3 - 2*b - 24*n**3 What is the third derivative of -8989*g**3 - 9858*g**2? -53934 Find the third derivative of 2686*l**4 + 628*l**2 wrt l. 64464*l What is the second derivative of 2*l**2*p**2 + 2*l**2*x**2 + 968*p**2*x**2 - 56*p**2*x - 3*p**2 wrt x? 4*l**2 + 1936*p**2 What is the second derivative of -352*k**2 + 2067*k? -704 What is the third derivative of 123*l**4 + 233*l**2 wrt l? 2952*l What is the second derivative of 3*c**2*f - 286*c**2 - 7471*c*f wrt c? 6*f - 572 What is the second derivative of -3*g**3*u**2 - 350*g**3*u - g*u**2 + 3*g + 14*u**2 wrt g? -18*g*u**2 - 2100*g*u What is the third derivative of -f**4 - 4*f**3 + 109*f**2 wrt f? -24*f - 24 What is the derivative of 59*a**3*r - 435*a**3 + 12*a**2*r**2 wrt r? 59*a**3 + 24*a**2*r Find the first derivative of 2*r**2*v**3 + 10*r**2 + 14*v**3 wrt r. 4*r*v**3 + 20*r Find the second derivative of 336*k**5 + 14*k**4 - 2*k - 2029 wrt k. 6720*k**3 + 168*k**2 Find the third derivative of -219*n**5*p**3 - n**4*p**3 - 306*n**2*p - n*p**3 wrt n. -13140*n**2*p**3 - 24*n*p**3 Differentiate -203*l**3 + 104 with respect to l. -609*l**2 Find the third derivative of 12*k**3*r**4 + 44*k**3*r**2 - 13*k**2*r**2 + 12*r**6 - 2*r**3 wrt r. 288*k**3*r + 1440*r**3 - 12 What is the first derivative of -4*k**3*v + k**3 + 28*k**2*v - 715*k wrt v? -4*k**3 + 28*k**2 Find the third derivative of -55*o**4 - 139*o**3 - 8*o**2 + 74*o + 2 wrt o. -1320*o - 834 What is the derivative of 56*y*z**3 + 2*y*z + 5*y - 7274*z**3 wrt y? 56*z**3 + 2*z + 5 What is the second derivative of 3113*p**2 + 1950*p? 6226 Find the third derivative of 1153*a**2*m**3 + 2*a**2*m**2 - 149*a*m**2 + 3*m wrt m. 6918*a**2 What is the third derivative of -4*o**5 + 129*o**3 - 3075*o**2 wrt o? -240*o**2 + 774 Find the second derivative of 2*k*v**5 - 8*k*v**2 + 2*k*v + 2*v**5 + 4*v + 12 wrt v. 40*k*v**3 - 16*k + 40*v**3 Differentiate -132*w**2 - 2*w - 154. -264*w - 2 Find the third derivative of -16205*q**3 + 2*q**2 - 10*q - 32. -97230 What is the third derivative of -2*f**6 - 1351*f**4 + 197*f**2 + 4*f? -240*f**3 - 32424*f Find the third derivative of -23*w**2*z**4 - 3*w**2 + 2*w*z**2 + w wrt z. -552*w**2*z What is the second derivative of -7*u**3*z**3 - 34*u**3 + 4*u*z**4 - u*z + 2*u wrt z? -42*u**3*z + 48*u*z**2 What is the second derivative of -49*j**2 - 30*j + 2? -98 Differentiate -251*i*n + 6673*n - 2 wrt i. -251*n Find the third derivative of 480*h**4 + 895*h**2 wrt h. 11520*h Differentiate -162*d**3*v + 557*d**3 + 2*d*v - v**3 wrt v. -162*d**3 + 2*d - 3*v**2 What is the third derivative of 4*x**4 - 321*x**3 + 2*x**2 - 1275? 96*x - 1926 What is the first derivative of -2*k**2*w**3 + 436*k**2*w + 7*k**2 - 3*k*w - 8*k - 35 wrt w? -6*k**2*w**2 + 436*k**2 - 3*k Differentiate -106*m + 867 wrt m. -106 Find the third derivative of -5*o*v**5 - 4*o*v**3 + 2*o + 76*v**4 - 339*v**2 - 12 wrt v. -300*o*v**2 - 24*o + 1824*v Find the first derivative of -l**3*r**2 - 146*l**3 - 2*l*r - 60*r**2 - 19*r wrt l. -3*l**2*r**2 - 438*l**2 - 2*r Find the second derivative of 544*n**4 - 2*n**3 + 4*n**2 - 212*n. 6528*n**2 - 12*n + 8 Find the third derivative of a*b**6 + 2*a*b**2 + 5*a*b - b**6 + 389*b**3 - 89*b**2 wrt b. 120*a*b**3 - 120*b**3 + 2334 Find the second derivative of q**5*z + 253*q**2*z**2 - 6*q*z**2 + 17*q*z wrt q. 20*q**3*z + 506*z**2 What is the second derivative of -o**2*q**5 + 190*o**2*q**4 + 92*o**2*q + o**2 - 2*q wrt q? -20*o**2*q**3 + 2280*o**2*q**2 What is the third derivative of 2*k**4*z + 14*k**4 + 10*k**3*z - k**2 - 43*z wrt k? 48*k*z + 336*k + 60*z What is the second derivative of -88*c**3*m**3 - 2*c**3 + 2*c*m**3 + 135*m**2 wrt c? -528*c*m**3 - 12*c What is the second derivative of 4881*w**3 + 10058*w? 29286*w Find the second derivative of 2*b**3*d**3 - 2*b**3*d - 7*b*d - 553*d**4 + 20 wrt d. 12*b**3*d - 6636*d**2 What is the third derivative of -504*z**4 - 597*z**2 wrt z? -12096*z Find the first derivative of 764*q**4 + 2*q + 1463 wrt q. 3056*q**3 + 2 Find the second derivative of -x**3 + 205*x**2 + 21*x - 3 wrt x. -6*x + 410 What is the first derivative of -16*c**2*y**2 - 2*c*u*y**3 - 3*u*y**3 + 73*u*y**2 wrt c? -32*c*y**2 - 2*u*y**3 Differentiate 1332*r**3 + 605 wrt r. 3996*r**2 What is the first derivative of -1420*j**3*o - 2036*j**3 wrt o? -1420*j**3 Find the third derivative of 2*k**5 - 21*k**3 + 1216*k**2 wrt k. 120*k**2 - 126 Find the second derivative of -501*y**3 + 2*y**2 + 810*y wrt y. -3006*y + 4 Find the second derivative of 588*q*y**2 - 9*q + y**2 + 2*y wrt y. 1176*q + 2 Fi
{ "pile_set_name": "DM Mathematics" }
3) to base 13. 0 Convert 0 (base 8) to base 3. 0 What is -1440 (base 6) in base 12? -280 What is 1 (base 15) in base 4? 1 2 (base 4) to base 7 2 -30 (base 16) to base 4 -300 Convert -113 (base 8) to base 12. -63 What is -111 (base 2) in base 12? -7 What is -4 (base 7) in base 8? -4 -10202 (base 3) to base 5 -401 -20 (base 6) to base 7 -15 What is -1202 (base 3) in base 6? -115 What is 25 (base 7) in base 12? 17 Convert 0 (base 12) to base 10. 0 What is -7 (base 10) in base 15? -7 -6 (base 10) to base 2 -110 Convert -1 (base 6) to base 10. -1 -226 (base 8) to base 11 -127 22 (base 4) to base 13 a What is 62 (base 8) in base 14? 38 Convert 8 (base 11) to base 7. 11 What is -3 (base 4) in base 12? -3 Convert 18 (base 11) to base 3. 201 Convert 16 (base 7) to base 14. d Convert -1a (base 14) to base 8. -30 Convert -103 (base 10) to base 5. -403 What is -25 (base 9) in base 6? -35 220 (base 5) to base 12 50 What is -120 (base 4) in base 6? -40 What is 1100010 (base 2) in base 9? 118 Convert -2 (base 14) to base 6. -2 -111 (base 3) to base 8 -15 -2 (base 7) to base 4 -2 -181 (base 9) to base 11 -130 Convert -3 (base 8) to base 10. -3 Convert 33 (base 12) to base 14. 2b 34 (base 14) to base 15 31 What is -28 (base 13) in base 5? -114 What is 363 (base 9) in base 12? 210 Convert -2 (base 4) to base 14. -2 -4b (base 15) to base 14 -51 2 (base 5) to base 6 2 Convert -15 (base 15) to base 14. -16 What is 13c (base 13) in base 9? 264 What is 3 (base 5) in base 4? 3 Convert -1 (base 11) to base 10. -1 0 (base 16) to base 5 0 Convert c3 (base 15) to base 3. 20210 What is -10 (base 2) in base 12? -2 -10100 (base 2) to base 11 -19 What is 250 (base 8) in base 6? 440 143 (base 7) to base 13 62 Convert -11 (base 3) to base 16. -4 What is 1 (base 8) in base 14? 1 -1 (base 3) to base 10 -1 Convert -1 (base 13) to base 6. -1 Convert c7 (base 13) to base 11. 139 -7 (base 13) to base 9 -7 4d (base 14) to base 5 234 What is -1 (base 11) in base 10? -1 Convert 29 (base 14) to base 12. 31 What is -45 (base 10) in base 11? -41 What is a (base 11) in base 15? a Convert 22 (base 4) to base 16. a 1120 (base 4) to base 11 80 -6 (base 7) to base 9 -6 Convert -10 (base 5) to base 16. -5 -5 (base 16) to base 2 -101 Convert 123 (base 4) to base 11. 25 What is -19 (base 14) in base 15? -18 What is -4 (base 13) in base 10? -4 What is -17 (base 14) in base 9? -23 Convert 12 (base 5) to base 6. 11 What is -44 (base 13) in base 5? -211 What is 4 (base 15) in base 6? 4 Convert -6b (base 13) to base 4. -1121 Convert -66 (base 8) to base 3. -2000 -1 (base 4) to base 2 -1 Convert 172 (base 9) to base 8. 222 What is 33 (base 4) in base 10? 15 -6 (base 16) to base 7 -6 221 (base 3) to base 11 23 -10 (base 6) to base 15 -6 What is 8e (base 16) in base 15? 97 -17 (base 9) to base 15 -11 -1001 (base 3) to base 2 -11100 What is -2 (base 4) in base 6? -2 190 (base 16) to base 5 3100 Convert 4 (base 11) to base 7. 4 Convert 0 (base 10) to base 12. 0 What is 72 (base 8) in base 11? 53 -3 (base 8) to base 14 -3 2 (base 15) to base 10 2 What is 2 (base 6) in base 16? 2 110000 (base 2) to base 9 53 What is -221 (base 4) in base 10? -41 19 (base 12) to base 7 30 What is -54 (base 6) in base 7? -46 -81 (base 9) to base 4 -1021 Convert 6 (base 14) to base 15. 6 -122 (base 3) to base 16 -11 What is -40 (base 16) in base 2? -1000000 102 (base 5) to base 10 27 What is -33 (base 9) in base 15? -20 What is -1001 (base 3) in base 14? -20 What is b (base 12) in base 11? 10 -5 (base 10) to base 14 -5 -4 (base 5) to base 3 -11 Convert 0 (base 10) to base 9. 0 11 (base 3) to base 5 4 Convert 1 (base 8) to base 15. 1 201 (base 5) to base 8 63 What is 51 (base 16) in base 14? 5b What is -1 (base 9) in base 2? -1 1 (base 4) to base 16 1 21 (base 7) to base 10 15 Convert -1a (base 15) to base 10. -25 Convert -8 (base 9) to base 15. -8 1c (base 13) to base 11 23 11 (base 2) to base 3 10 What is 13 (base 6) in base 9? 10 Convert -111 (base 2) to base 9. -7 25 (base 12) to base 11 27 -83 (base 10) to base 16 -53 What is 1100 (base 3) in base 11? 33 What is 8 (base 12) in base 11? 8 Convert 128 (base 9) to base 10. 107 What is -40 (base 15) in base 14? -44 What is 88 (base 15) in base 8? 200 What is 10101 (base 2) in base 16? 15 Convert 0 (base 7) to base 3. 0 What is 12 (base 6) in base 2? 1000 -13 (base 14) to base 13 -14 -37 (base 13) to base 6 -114 What is -6 (base 10) in base 9? -6 -2 (base 10) to base 7 -2 What is 10 (base 5) in base 8? 5 Convert -25 (base 14) to base 6. -53 Convert -31 (base 5) to base 15. -11 What is -24 (base 7) in base 10? -18 What is -21 (base 3) in base 12? -7 What is 4 (base 6) in base 16? 4 What is -38 (base 13) in base 14? -35 Convert -13 (base 12) to base 15. -10 -49 (base 14) to base 6 -145 What is b2 (base 15) in base 3? 20012 Convert -27 (base 15) to base 8. -45 What is 3 (base 15) in base 16? 3 What is -1023 (base 5) in base 10? -138 Convert 24 (base 13) to base 4. 132 Convert 2 (base 10) to base 8. 2 Convert 24 (base 6) to base 16. 10 75 (base 9) to base 3 2112 What is 3 (base 4) in base 15? 3 What is 46 (base 12) in base 8? 66 What is 5 (base 10) in base 5? 10 Convert -3 (base 9) to base 13. -3 -1b (base 16) to base 4 -123 Convert 22 (base 4) to base 13. a b7 (base 16) to base 13 111 0 (base 5) to base 12 0 What is 1011110 (base 2) in base 11? 86 Convert -17 (base 11) to base 5. -33 What is 8 (base 12) in base 9? 8 -2 (base 10) to base 8 -2 Convert 1110 (base 2) to base 6. 22 What is -8 (base 9) in base 15? -8 What is 41 (base 7) in base 15? 1e 4 (base 12) to base 14 4 1 (base 12) to base 8 1 Convert -312 (base 5) to base 4. -1102 Convert -1 (base 5) to base 12. -1 What is -2 (base 4) in base 3? -2 What is 65 (base 8) in base 9? 58 What is 4 (base 7) in base 14? 4 Convert 220 (base 8) to base 5. 1034 Convert 420 (base 5) to base 2. 1101110 -33 (base 9) to base 7 -42 Convert 10110 (base 2) to base 13. 19 What is 99 (base 12) in base 2? 1110101 What is 3 (base 14) in base 8? 3 10101 (base 2) to base 12 19 What is -2 (base 14) in base 4? -2 Convert -1 (base 2) to base 16. -1 What is 1 (base 8) in base 3? 1 -1202 (base 4) to base 13 -77 Convert 1001 (base 2) to base 10. 9 -532 (base 8) to base 3 -110211 0 (base 4) to base 16 0 1 (base 16) to base 11 1 What is -335 (base 6) in base 11? -10a What is -26 (base 15) in base 2? -100100 What is 11 (base 7) in base 13? 8 12 (base 8) to base 3 101 What is 1 (base 5) in base 4? 1 Convert -67 (base 14) to base 10. -91 Convert 0 (base 5) to base 9. 0 What is 134 (base 5) in base 7? 62 What is -2 (base 6) in base 13? -2 50 (base 13) to base 4 1001 44 (base 16) to base 14 4c Convert -52 (base 9) to base 2. -101111 -33 (base 14) to base 16 -2d 4 (base 13) to base 8 4 -203 (base 10) to base 8 -313 Convert 15 (base 15) to base 9. 22 Convert 6 (base 12) to base 3. 20 44 (base 13) to base 9 62 What is 1a (base 15) in base 14? 1b Convert 5 (base 15) to base 9. 5 What is 115 (base 6) in base 12? 3b What is -e (base 15) in base 3? -112 Convert 61 (base 14) to base 16. 55 Convert -355 (base 6) to base 5. -1033 Convert -15 (base 6) to base 2. -1011 What is -47 (base 11) in base 14? -39 -31 (base 6) to base 12 -17 4 (base 12) to base 11 4 -111 (base 2) to base 13 -7 What is 13 (base 9) in base 2? 1100 Convert 1230 (base 4) to base 11. 99 Convert 42 (base 11) to base 10. 46 1001 (base 2) to base 6 13 What is -112 (base 4) in base 5? -42 What is 354 (base 7) in base 6? 510 Convert 22 (base 4) to base 9. 11 Convert 25 (base 13) to base 3. 1011 Convert -3 (base 16) to base 15. -3 Convert 39 (base 11) to base 16. 2a Convert -24 (base 10) to base 13. -1b Convert -36 (base 8) to base 13. -24 91 (base 13) to base 4 1312 What is 100 (base 3) in base 8? 11 -44 (base 8) to base 5 -121 177 (base 9) to base 5 1101 Convert 5 (base 15) to base 10. 5 5b (base 13) to base 8 114 Convert 2 (base 15) to base 14. 2 -11 (base 10) to base 16 -b -13 (base 6) to base 5 -14 7 (base 13) to base 14 7 -20 (base 9) to base 5 -33 Convert 17 (base 9) to base 15. 11 37 (base 10) to base 16 25 Convert 1011 (base 3) to base 14. 23 Convert 11000111 (base 2) to base 11. 171 What is 3 (base 6) in base 12? 3 What is -2aa (base 11) in base 10? -362 What is -1 (base 8) in base 16? -1 -56 (base
{ "pile_set_name": "DM Mathematics" }
1)/8)/(-1)). What is the highest common divisor of v and c? 8 Let t = 243 - 173. Suppose -t = -v - 6*v. Calculate the greatest common divisor of 10 and v. 10 Suppose 4*c = -20 + 244. Let u(f) = -9*f + 12. Let t be u(-8). Calculate the highest common divisor of t and c. 28 Suppose -u + 5*h + 4 = 0, h + 20 = 5*u - 2*h. Let g be 5/(50/u)*(3 - -22). Calculate the greatest common factor of 45 and g. 5 Let c be 4/6 - 332/(-6). Suppose 2*h = 7*h - 45. Let v(w) = -w**2 + 12*w - 13. Let j be v(h). What is the greatest common divisor of c and j? 14 Let t = 12 - -52. Let o be 298/6 - (-8)/(-12). Suppose o - 1 = 3*f. What is the greatest common factor of t and f? 16 Suppose 4*i - 3*r - 55 = 0, -3*i + 27 - 2 = r. Suppose 3*b - 5*j + 47 = 217, b - 2*j = 58. Calculate the greatest common factor of b and i. 10 Suppose -62 = 6*v - 200. Let d = v + 19. What is the greatest common factor of 84 and d? 42 Let u = -29 + 33. Suppose c - 55 = -2*p, 0 = u*c - c + 15. What is the greatest common divisor of p and 90? 30 Let u(p) = -2*p - 13. Let y be u(-8). Suppose -y*x + 231 = w, -3*w + x = -583 - 150. What is the highest common divisor of w and 27? 27 Let h = -173 + 233. Calculate the greatest common divisor of 45 and h. 15 Let q be (9 + -11)/((-1)/5). Let i be 2/(-1) - (-172 + q). What is the greatest common divisor of 32 and i? 32 Let b(p) be the first derivative of 10/3*p**3 - 5 + 1/2*p**2 - 2*p - 1/4*p**4. Let w be b(9). Calculate the greatest common factor of w and 11. 11 Let k(z) = 3*z**3 + 2*z**2 + 4*z - 6. Let a be k(3). Suppose 0*r + 5*b = r - 48, -5*r - 2*b = -a. What is the greatest common factor of r and 92? 23 Let s(c) = -3*c**3 + 4*c**2 + 8*c. Let r be s(6). Let u = 672 + r. Calculate the greatest common factor of 27 and u. 27 Suppose -15*j - 50 = -40*j. What is the highest common divisor of j and 16? 2 Let r = 45 - -3. Suppose 6 - 26 = -5*u. Suppose -u*i - f + 58 = 2*f, 0 = 4*f + 8. Calculate the highest common divisor of r and i. 16 Let h(c) = -11*c - 2. Let s be h(-6). Let r = 3 - 1. Suppose -m + 2*i - 12 = -r*m, 3*m = -i + 26. Calculate the greatest common factor of m and s. 8 Suppose 0 = 6*l - 662 - 2044. Calculate the highest common factor of 11 and l. 11 Let q(x) = -8*x + 93. Let o be q(10). What is the highest common factor of o and 325? 13 Suppose 20 = -0*m - 5*m. Let n = 7 - m. What is the highest common divisor of 11 and n? 11 Suppose -66*c + p = -61*c - 84, 56 = 3*c - 2*p. What is the greatest common divisor of 10 and c? 2 Let c = 107 + -201. Let u = 112 + c. Calculate the greatest common divisor of u and 18. 18 Let m = -6 - -7. Suppose m = -5*q + 16. Suppose 2*j - 6*j + 404 = 4*g, -j - 295 = -q*g. What is the highest common factor of g and 9? 9 Let y be -3 - 26*(-18)/6. What is the highest common divisor of y and 525? 75 Let o = 46 + -28. Suppose 115 = 5*m + 85. What is the greatest common divisor of m and o? 6 Let q(i) = -i + 9. Suppose 0 = -c + 5 - 1. Let p be q(c). Suppose -3*m = 2*m + 4*u - 192, -70 = -2*m - p*u. Calculate the greatest common divisor of 10 and m. 10 Let c(n) = 3*n**3 + n**2 + 1. Let z be c(2). Let v be (-8 - -3)*(116/2)/(-2). What is the highest common factor of v and z? 29 Let m = 23 + -2. Let u(b) = 2*b**3 - 14*b**2 - 11*b + 2. Let j be u(8). Calculate the highest common divisor of j and m. 21 Let v(n) = 211*n - 7086. Let t be v(34). Let r be 2*(0 - 22/(-4)). What is the greatest common divisor of t and r? 11 Let a be (-14 - -4)/(3/(-33)). Suppose 6*g = -17 + 281. Calculate the greatest common factor of a and g. 22 Let y be 110*(5 - 2) - -3. Calculate the highest common factor of y and 9. 9 Let v(w) = 5*w**2 + 4*w + 5. Let t be v(-1). What is the highest common factor of 48 and t? 6 Let y be 2748/60 - 1/(-5). Calculate the greatest common divisor of 414 and y. 46 Let p be -2*5/(20/12). Let o(v) = 7 - 2*v - 5*v + 4*v + 4*v. Let q be o(p). What is the greatest common factor of 2 and q? 1 Let j be (1 - 12)*9*-1. Suppose 34*l = 2*l + 288. What is the greatest common divisor of j and l? 9 Suppose 3*d - 51 - 36 = 0. Let t(g) = -g**3 - 7*g**2 - 5*g + 8. Let y be t(-6). Suppose y*h - 696 = -h. Calculate the greatest common factor of h and d. 29 Let o be (-1 - -3) + (15 - -733)/17. Calculate the greatest common divisor of 667 and o. 23 Let p be 2 - 0 - -16*3. Let h(o) = o**2 + 3*o + 2. Let x be h(-2). Suppose x = 4*q + 12, -q = -l + q + 26. What is the highest common factor of l and p? 10 Suppose s + 35 = 2*u + 3*u, -s - 5 = 0. Let x be u/(-27) - (-411)/27. Let m = 75 - x. Calculate the greatest common factor of m and 150. 30 Let n(w) = -w**3 + 65. Let q be n(0). Calculate the greatest common divisor of q and 39. 13 Let d = 6 + -3. Suppose 0 = y - d*y + 6. Suppose -y*f + 5*f - 66 = 0. What is the greatest common factor of f and 3? 3 Let l = 73 + -52. Let w = 24 - l. Let b(m) = 87*m + 3. Let o be b(w). Calculate the highest common divisor of o and 24. 24 Let v be (5 - (4 + 4)) + (-2 - -31). Calculate the highest common divisor of 78 and v. 26 Let q be (-60720)/(-483) + (-4)/(-14) + 0. What is the highest common factor of 98 and q? 14 Suppose -665 - 2251 = -54*v. What is the highest common factor of 54 and v? 54 Suppose 9*r - 153 - 81 = 0. Let p = r + -7. What is the highest common factor of 19 and p? 19 Let n(m) = 30*m - 6. Let q be n(5). Suppose 5*f - q = 31. Suppose v + h + 0 = 5, -5*h + 10 = 2*v. What is the greatest common divisor of v and f? 5 Let f be (-1 - 7)*6/(-6). Suppose 13*z = f*z + 140. What is the highest common factor of 196 and z? 28 Let f(x) = -820*x - 32. Let b be f(-1). What is the greatest common factor of 4 and b? 4 Suppose 0 = c + 2*c + 3*r - 39, -5*c + 81 = r. Let h be ((-51)/c)/(1/(-2)). Calculate the greatest common factor of 42 and h. 6 Let b = 77 + 67. What is the highest common factor of 36 and b? 36 Suppose 5*n - 28 = 3*b + 4, -1 = -b. Calculate the greatest common divisor of 22 and n. 1 Let s = 5 + -11. Let g be s/(45/(-35) + 1). What is the greatest common factor of 3 and g? 3 Let j be 6/(-3) + 18 + 2 + -3. What is the highest common factor of j and 15? 15 Let k = -18 + 250. Calculate the highest common divisor of k and 8. 8 Let h = 122 + -102. Let y be ((-25)/h)/((-1)/4). Calculate the greatest common factor of 40 and y. 5 Let z(k) = k**2 + 9*k - 3. Let f be z(-10). Suppose f*s - 4 = 6*s. Calculate the highest common factor of s and 1. 1 Let f be (-55)/22*1856/(-10). Calculate the greatest common divisor of f and 24. 8 Suppose -3853 - 206 = -11*o. What is the greatest common factor of o and 205? 41 Let r(j) = j**3 + 10*j**2 - 11*j + 9. Suppose 2*a - 27 = 3*w, 3*w - 1 + 22 = 4*a. Let x be r(w). What is the highest common divisor of x and 27? 9 Let f(i) = i**3 - 6*i**2 - 6*i + 21. Let x be f(9). Let o be x/12*(-18)/(-5). What is the highest common divisor of o and 9? 9 Let x = 49 - 31. Calculate the highest common factor of x and 486. 18 Let r(a) = -2*a + 18. Let g be r(0). Let n(s) = 2*s**2 - s - s**2 - g - 5*s + 2*s. Let p be n(9). Calculate the greatest common factor of p and 297. 27 Let p be (24/(-20))/((-3)/420). Suppose -y + 4*x + 57 = 0, -x + p = 2*y + 36. What is the highest common divisor of y and 26? 13 Suppose h - 3*s - 174 = 0, 3*h - 2*s - 775 = -239. Calculate the highest common divisor of 135 and h. 45 Let k(a) = -4*a + 1. Let w be k(-7). Suppose 264 = h - y, h + 2*y - 106 = 149. Calculate the greatest common factor of h and w. 29 Let q(d) = -38*d - 69. Let z be q(-2). Calculate the greatest common divisor of z and 4. 1 Suppose 0*z - 20 = -5*z. Suppose -125 = -5*a - 2*o + 7*o, z*a - o = 109. Suppose -2*c + 6*c = a. What is the greatest common factor of c and 77? 7 Let q be 492 + -1*(3 - -8). What is the highest common factor of q and 39? 13 Let x(s) = -s. Let p = -10 + 7. Let q be x(p). Suppose q*g + 51 = -z + 2*z, 2*z - 92 = -4*g. What is the highest common factor of 6 and z? 6 Suppose g + 645 = -4*g. Let y = g - -193. Calculate the highest common factor of y and 4. 4 Let g(h) = 7*h - 169. Let x be g(27). Calculate the highest common factor of x and 35. 5 Let n = -46 - -42. Let b be 17 + ((-2)/n)/(13/(-26)). Calculate the highest common divisor of 2 and b. 2 Let m be (-34)/51 + (-10)/3. Let p be m + 133 - 1/(-1). Calculate the greatest common factor of p and 26. 26 Let x = -1552
{ "pile_set_name": "DM Mathematics" }
s the closest to 40? (a) -33 (b) -2 (c) -2/19 (d) 0.16 (e) 1 e What is the closest to 1.809 in -2, -1, 4, 2, -0.13? 2 What is the closest to -8 in -417, 106, -8? -8 Which is the nearest to -4? (a) 333 (b) 0.2 (c) -4/5 (d) 1.1 (e) 0.7 c Which is the closest to -14/31? (a) -31 (b) 4 (c) 10.7 b What is the closest to -77 in -5929, 0.4, -10, 4, -4? -10 What is the closest to 60 in -4/3, 9, 4045? 9 Which is the closest to 1? (a) 1586 (b) 415 (c) 0.5 (d) -5 c What is the nearest to -39 in 0.0064, -1/2, 22? -1/2 Which is the nearest to 1021? (a) 1/3 (b) -6 (c) 0.07 (d) 27 d Which is the closest to -3.43? (a) 2 (b) -2/7 (c) -2/5 (d) -149 (e) -0.1 c Which is the closest to -10.12? (a) -0.2 (b) 5 (c) -197 (d) -2/15 a Which is the nearest to -17? (a) -0.4 (b) 3 (c) -123458 a What is the nearest to -11/48 in 1, -3, -2, 0.1, -4? 0.1 What is the closest to -4 in -0.08, 1.61608, -6, -0.5? -6 Which is the closest to 5? (a) -225 (b) -293 (c) 5 c What is the closest to 0.1 in -3, -294, 8/39, 2/17? 2/17 Which is the closest to 330? (a) -16 (b) 2/13 (c) 3.8 (d) 4 (e) 0.01 d Which is the nearest to 1/4? (a) -0.4 (b) -7 (c) 3 (d) 630590 a What is the closest to 1 in -0.1, 55/4, 2/9, 2, -0.65? 2/9 What is the closest to 48 in 2/3, 73, 2, -2/7, 1? 73 What is the nearest to -0.09 in 3, 37, -2/7, 3306? -2/7 Which is the closest to -2? (a) -0.1 (b) 30316 (c) -2 c Which is the closest to 2/27? (a) -5 (b) -4 (c) 0.1 (d) 2/25 (e) -29 d Which is the nearest to -4/7? (a) -70 (b) -0.605 (c) 0 (d) -3 b What is the closest to -3/2 in 321, -0.82, 0.4? -0.82 Which is the closest to 3/8? (a) -2/323 (b) -2/47 (c) -12 a What is the nearest to -2/5 in 289/2, 23/17, -75, 4? 23/17 What is the closest to -1/47 in -3/5, 7, -299, -20/3? -3/5 Which is the nearest to -0.19? (a) 142 (b) 5917/3 (c) 1 (d) 4/5 d Which is the closest to 1? (a) -3 (b) -17927.994 (c) 1/7 (d) -0.5 c Which is the closest to -475? (a) -0.236 (b) 23 (c) -0.1 a What is the nearest to 2.23 in 94/5, 8/3, 2, -7? 2 What is the closest to 0.1473 in -0.37, -0.2, -4/11, 0.4, 3? 0.4 What is the closest to 1 in 0.8, 2/13, -0.5, 0.3, 0.17? 0.8 Which is the closest to 1? (a) -1 (b) 2/9 (c) -2399434 (d) 4 (e) -0.1 b Which is the nearest to 2? (a) -21/4 (b) -55/7 (c) 11 (d) 2/11 d What is the closest to -1/4 in -2, -9, -0.055, -21, 1? -0.055 Which is the closest to 0.7? (a) -7 (b) 8/9 (c) -1 (d) 0.031 (e) 0.29 b Which is the closest to -0.44? (a) -0.05 (b) -1 (c) 1.2 (d) -3 (e) -8/3 a Which is the nearest to -0.1? (a) 2 (b) -0.2 (c) 6 (d) 10982 b Which is the closest to -1? (a) 2 (b) 4/9 (c) -2/7 (d) -3 (e) 0.6115 (f) -1/17 c What is the nearest to 37 in 22/7, -6, 153, 3, -1? 22/7 Which is the closest to 22? (a) 795 (b) 18 (c) 51 b Which is the closest to 29516? (a) 0.1 (b) -3 (c) -14 (d) -7 a What is the nearest to -2/11 in 5, -3.4, 1, 17.97? 1 What is the closest to 1/2 in 6/13, 0.1, -624, -1/3, -3/2, -8? 6/13 What is the nearest to -0.5 in -1258, 2/11, 11, -3/5? -3/5 What is the closest to -2/27 in -125/3, 3, -2/5, 4/1325? 4/1325 Which is the nearest to 2/5? (a) 0.13 (b) 14/9 (c) 0.3 (d) -101 c What is the closest to -0.2 in 27, 43/506, -4? 43/506 Which is the closest to 391? (a) 5 (b) -4 (c) 2.8 (d) -1 a Which is the nearest to -0.3? (a) -59 (b) -8 (c) -0.5 (d) -0.4 (e) 25 d Which is the closest to -2/7? (a) 5 (b) 50353 (c) 0.5 (d) 38 (e) -4 c Which is the nearest to -14/2767? (a) -9 (b) -1 (c) 330 b What is the nearest to -1/2454 in -0.3, 298, -4/11? -0.3 Which is the nearest to 165? (a) -388 (b) 4 (c) 4/9 b Which is the nearest to -0.3? (a) 23698 (b) 1/4 (c) 5 (d) 4 b What is the closest to -0.2 in -1121, 1, -7279, 4, -0.5? -0.5 What is the closest to -2 in -20, -12879, -2? -2 What is the closest to 1 in -1/8, -482.5, -0.9? -1/8 Which is the nearest to 2/5? (a) -9.44 (b) -26 (c) 1/4 (d) -2/29 c What is the closest to -18 in 27/4, -2/10921, -5, 1/4? -5 Which is the closest to -8? (a) -3 (b) -2079 (c) 439 a What is the nearest to 0.06 in -47, 0.4, 2.3, -3, 0.3? 0.3 Which is the closest to 6/7? (a) -6 (b) 1 (c) -2 (d) -0.8 (e) 2.5 b What is the closest to 1 in 0.99, 11, 62, -4/7? 0.99 Which is the nearest to -1? (a) 3/2 (b) -0.2 (c) 18 (d) 15.9 (e) 0.57 b Which is the closest to -1? (a) -36 (b) 92 (c) -98 (d) -1/25 d Which is the closest to -2/7? (a) -117 (b) 99 (c) 4/3 (d) 3 c Which is the nearest to -38803? (a) -1586 (b) 2/5 (c) -5 a What is the closest to -9.43 in -3.83, 0.2, 21/13? -3.83 Which is the closest to -1/3? (a) -149 (b) -1/2 (c) -5/111 b What is the closest to 1.2 in 0.3, -23, 1, -3/9064? 1 What is the nearest to 5.9 in 4, 0.4, -14701? 4 Which is the closest to -995? (a) -2/5 (b) -33 (c) -5 (d) 5 b What is the nearest to 124 in 3/4, -3, 4/2095, 2? 2 Which is the nearest to -125/14? (a) -0.4 (b) -4 (c) -3 (d) 0.3699 (e) 0 (f) -1 b What is the closest to -1944 in -0.4, -4/9, -0.03, -5, -14? -14 What is the nearest to 2 in 235, 33, 10.2, 3? 3 What is the closest to 0.038 in 0.02, -6/7, 7/3? 0.02 What is the nearest to 16 in -22, 1, -5, 0, -4? 1 Which is the nearest to -10? (a) 1 (b) 29 (c) -6 (d) -1 (e) 0.9 c Which is the closest to 0.1? (a) 0.032 (b) -7636 (c) 5 (d) 0.2 (e) 2 a What is the nearest to -4 in -2/5, 1/40, 22/3, -2/1113, 4? -2/5 Which is the nearest to -3/7? (a) -1 (b) -2 (c) 11.87 (d) 176 (e) -0.2 e Which is the closest to -4? (a) 4.2 (b) -0.02 (c) -2631 (d) 3 b What is the closest to 65.2 in -1.04, 4, 0, -3/7? 4 What is the closest to -153 in 0.4, -27, -0.014? -27 Which is the nearest to -0.4? (a) -4/23 (b) -0.8 (c) 145 (d) 37 a Which is the closest to 11595? (a) -3/5 (b) -6 (c) 5 (d) -19 c What is the nearest to -10 in 3, -1/59, -0.2, 0.4, 6? -0.2 What is the nearest to -145 in 8231, -1, 0? -1 Which is the nearest to -3601? (a) 1 (b) -1/80 (c) -1 (d) 2 c Which is the nearest to 1/3? (a) 65/14 (b) -18992 (c) 14 a What is the nearest to 0.2 in 2/9, -2/13, -5/358, 618? 2/9 What is the closest to 0.4 in -0.1049, -2, 7, 3/35, 2, 2/17? 2/17 What is the closest to -4/2625 in -0.0482, -1/7, 3? -0.0482 Which is the closest to -2/11? (a) -6/53 (b) -1 (c) -3 (d) -592 (e) -5 a Which is the closest to 1? (a) 0.1 (b) 180 (c) 0.3 (d) 21 (e) 26.1 c What is the closest to 0.142 in 0.014, 5, -0.3, -2/7, -1/2? 0.014 What is the nearest to -8.132 in 5, 0.4, -1/6? -1/6 Which is the nearest to -0.082? (a) 1 (b) 131.5 (c) -0.3 (d) -4 (e) -5 c What is the nearest to 135.5 in 0.3, 2/7, 55, -1, 5? 55 What is the closest to -8 in 1/5, -1480/321, -4/7, -1? -1480/321 What is the closest to 4 in -19, 2/77801, 0.2? 0.2 What is the nearest to 889353.8 in 0.06, -0.3, 2/11? 2/11 What is the nearest to 809 in -0.41, 20, -7? 20 Which is the nearest to 0.2? (a) -2 (b) 0 (c) 341 (d) 26 (e) -19 b Which is the nearest to -4? (a) -0.4 (b) -6 (c) 0.5 (d) -4/7 (e) -1/18 b Which is the nearest to -2/9? (a) -596/7 (b) 0.82 (c) 25 b What is the closest to 2 in -5838, -111, 3, 0.3? 3 Which is the nearest to 5/6? (a) 1 (b) -5 (c) 933 (d) -2/5 (e) 7 (f) -29 a What is the nearest to 1 in -21, -2/51, -2, -0.5, -28.8, 1? 1 Which is the nearest to 10/37? (a) 2 (b) -28 (c) -629 a Which is the nearest to 8/3? (a) -2/9 (b) -4 (c) -74 (d) -0.2 (e) 12 (f) 4.7 f What is the closest to 5/6 in -6, -0.1, 1/8, -1, -6.1? 1/8 What is the nearest to 0.2 in -28, -0.09, -4, 2/23? 2/23 Which is the nearest to 1/3? (a) -1/3 (b) -1/8 (c) 3/2 (d) -68838 b Which is the nearest to -1? (a) 0.5 (b) 8 (c) -4 (d) 194 (e) -0.3 e Which is the nearest to 6048? (a) -0.5 (b) -3/4 (c) -4 (d) 3/4 d Which is the nearest to -90? (a) 49333 (b) 1/5 (c) -1 c Which is the nearest to 0.3? (a) 3136 (b) 50 (c) 2 (d) 22 c Which is the nearest to 0.3? (a) -47 (b) -2/11 (c) 15 b Which is the closest to -70/157? (a) -20 (b) -1 (c) -388/3 b Which is the nearest to 22.6? (a) -7/37 (b) -1/2 (c) -15 a What is the closest to -2 in 0.028, 0.5, 0.175, 1/9? 0.028 Which is the nearest to 3.1? (a) -3/2 (b) 1/2 (c) -3 (d) -1962 b What is the closest to -0.29 in -167, -34, -6? -6 Which is the closest to 2? (a) 1/3 (b) -1/7
{ "pile_set_name": "DM Mathematics" }
be (-20)/11 + 32/(-176). Let r(u) = l*j(u) - t(u). Let z(w) = -4*w. What is r(z(s))? 8*s Let n(i) = -33*i. Let q(z) = -2*z**2 + 61*z - 61*z. Determine q(n(l)). -2178*l**2 Let y(x) be the third derivative of -x**5/30 - 3*x**2. Let n be 1*(-1 - 0) - -3. Let a(j) = -5 + j**n + 5. Give a(y(o)). 4*o**4 Let m(b) = 2*b**2. Let f(i) = -52 + 3*i + 52. Determine m(f(u)). 18*u**2 Let o(u) be the first derivative of 2*u**3/3 - 2. Suppose 3*w + 5*d = 9, 6*d - 3*d = 0. Let q(r) = -3 + 4*r - 3*r + w. What is o(q(k))? 2*k**2 Let y(r) = -2*r. Let j(x) = x**2 - 970*x. Calculate j(y(t)). 4*t**2 + 1940*t Let b = 9 + 1. Let i be 6/(-12)*(0 - b). Let x(f) = -i + 5 - f. Let o(a) = a**2. Determine x(o(r)). -r**2 Let f(p) be the third derivative of 7*p**4/24 + p**3 - p**2. Let z(g) = 19*g - g + 18 - 5 - 3*g. Let d(h) = 13*f(h) - 6*z(h). Let i(w) = 2*w. Give d(i(a)). 2*a Let b(s) = 56*s**2. Let q(a) = 24*a. Calculate b(q(m)). 32256*m**2 Let g(t) = -6*t. Let i(c) = -1874*c + 2. Determine i(g(w)). 11244*w + 2 Let d(a) = 9*a**2 - 4*a**2 - a**2. Let i(z) = -2*z. Give i(d(h)). -8*h**2 Suppose 4*l + 19 - 1 = 3*k, -3*l = 5*k - 1. Let n(p) = 0*p**2 + p**k - 2*p**2. Let j(r) = r. What is n(j(d))? -d**2 Let v(n) = -2*n**2. Let t(r) be the second derivative of r**3 - 36*r. What is t(v(k))? -12*k**2 Let q(a) = -a. Let b(k) be the second derivative of 0*k**2 + 1/2*k**3 + 0 - 4*k. Calculate q(b(u)). -3*u Let b(i) = i. Let m(a) = a**2 + 5*a. Let r be m(-4). Let x(d) = 4*d. Let g(f) = r*x(f) + 18*b(f). Let z(n) = -2 + 2 + n. What is g(z(s))? 2*s Let w(c) = c - 2. Let a(m) = -m. Let p(l) = -l - 7. Let o(y) = 5*a(y) - p(y). Let q(h) = 4*o(h) + 14*w(h). Let u(d) = -2*d + 4*d - 3*d. Give q(u(j)). 2*j Let b(l) = 8*l - 4. Let k(y) = y - 1. Let a(w) = -b(w) + 4*k(w). Let h(z) be the first derivative of -z**3/3 + 16. What is a(h(m))? 4*m**2 Let c(y) = y**2. Let l(a) = -3*a**2. Let r(m) = 5*c(m) + 2*l(m). Suppose -1 = b - 2*x, 0*b - 5*x + 13 = -b. Let t(k) = -12*k**2 + 2*k**2 + b*k**2. Give r(t(s)). -9*s**4 Let a(d) be the first derivative of 8*d**3/3 - 23. Let b(h) = -9*h. What is b(a(m))? -72*m**2 Let g(l) = 1. Let i(o) = 8*o + 12. Let u(c) = -48*g(c) + 4*i(c). Let h(x) = x. Calculate u(h(s)). 32*s Let l(a) = -2*a**2. Let y(g) = 3*g - 7. Let m be y(3). Let d(f) = 8*f**2 + 12*f**2 - 2*f**2 - m*f**2. What is d(l(n))? 64*n**4 Let b(c) = -3*c. Let i(k) = 3*k**2 + 4*k - 4. Let s(p) = 3*p**2 + 3*p - 3. Let z(n) = 3*i(n) - 4*s(n). Determine z(b(g)). -27*g**2 Let l(x) = 8*x**2 - x**2 + 2*x**2. Let i(y) = 6*y**2 - 2*y + 1. Let h be i(1). Let z(d) = -10*d**2. Let u(a) = h*z(a) + 6*l(a). Let f(q) = 2*q. What is f(u(k))? 8*k**2 Let c(h) = 2*h. Let f be 3 + -3 + 9 + 3. Let k(r) = 9*r - 4*r - 5*r - f*r**2. Give c(k(l)). -24*l**2 Let z(u) = 82*u**2. Let t(s) = 13*s**2 + 3. Give t(z(b)). 87412*b**4 + 3 Let j(x) = -1792*x. Let f(g) = 2*g. Give j(f(t)). -3584*t Let l(a) be the first derivative of -a**2/2 + 2. Let v(p) = -p**2 + p**2 + 2*p**2. Determine v(l(i)). 2*i**2 Let d = 7 + -4. Let q(z) = -z - 3*z - d*z + 3*z. Let f(y) = -2*y. Give q(f(n)). 8*n Let q(y) = -y. Suppose 1 + 5 = -2*i. Let f(m) = 3 + 1 - m - 1. Let u(k) = 2. Let b(p) = i*u(p) + 2*f(p). Determine b(q(g)). 2*g Let v(t) = 3*t + 1 + 2*t - 1. Let s(m) = -2*m. Let c(o) = -7*s(o) - 3*v(o). Let u(i) = -3*i. Give c(u(y)). 3*y Let r(t) = 0*t - t + 3*t. Let h(a) be the first derivative of a**3/3 + 9. Determine r(h(v)). 2*v**2 Let f(h) = -2*h. Let k(d) be the second derivative of -11*d**3/6 - 14*d. Determine f(k(p)). 22*p Let j(n) be the second derivative of n**5/30 - n**2/2 - n. Let g(x) be the first derivative of j(x). Let m(u) = 3*u**2. Calculate m(g(s)). 12*s**4 Let p(v) = -4224*v. Let r(t) = -2*t**2. Give p(r(n)). 8448*n**2 Let l(c) = -7*c**2. Let j(k) be the first derivative of k**3 - 6. Calculate j(l(q)). 147*q**4 Let d(o) = o - 6. Let x(m) = m - 5. Let j(v) = 5*d(v) - 6*x(v). Let a(u) = 22*u. Calculate j(a(l)). -22*l Let i(k) be the third derivative of k**5/20 + 3*k**2. Let n(h) = 8*h. Calculate i(n(x)). 192*x**2 Let f(c) = -c. Let s(d) = 86*d + 2*d**2 - 86*d. Calculate f(s(g)). -2*g**2 Let z(y) = 2*y. Suppose 4*w = 9 - 1. Let r(l) = -1 - 1 - 7*l + w. Determine z(r(p)). -14*p Let x(s) be the first derivative of -3*s**2 - 2. Let n(p) be the third derivative of -p**5/60 + 2*p**2. What is n(x(c))? -36*c**2 Suppose -8 - 2 = -5*d. Let p(z) = 7*z - 9*z - d*z. Let t(f) = -2*f. Give p(t(c)). 8*c Let i(v) = 2*v**2. Let u(f) = -136*f. Determine i(u(t)). 36992*t**2 Let h(m) = -2*m. Let c(j) = -615*j - 2. Calculate h(c(f)). 1230*f + 4 Let w(j) = -2*j**2. Suppose -2*i - 2*i + 3*x = 0, 4*x - 10 = 2*i. Let d(s) = -2*s - 3. Let f(g) = g + 2. Let t(v) = i*f(v) + 2*d(v). What is t(w(z))? 2*z**2 Let j(m) = -2*m. Let w(h) = 17*h**2 + 7. Let c(l) = 8*l**2 + 3. Let r be 5/(-2)*6/5. Let s(k) = r*w(k) + 7*c(k). Determine j(s(z)). -10*z**2 Let p(g) = 2*g**2. Let q be 1/1*8/2. Suppose -y + q*y = 0. Let x(n) = -n**2 - n**2 + y*n**2. Determine x(p(b)). -8*b**4 Let k(a) = -4*a**2. Let b(o) = 1389*o**2. Give k(b(s)). -7717284*s**4 Let f(t) = 15*t - 15*t + t**2. Let a(v) = 14*v. Let p(l) = 5*l. Let q(u) = -6*a(u) + 17*p(u). Give f(q(c)). c**2 Let i = 14 - 14. Let h(j) be the second derivative of -1/3*j**3 + i*j**2 + j + 0. Let b(l) = l. Determine b(h(n)). -2*n Let t(h) = -6*h**2 + 8. Let m(c) = c**2. Determine m(t(b)). 36*b**4 - 96*b**2 + 64 Let p(d) = -2*d + 7*d + 0*d - 2*d. Let z(w) = -5*w**2 + 3*w + 3. Let x(j) = 14*j**2 - 8*j - 8. Let n(q) = 3*x(q) + 8*z(q). Give p(n(y)). 6*y**2 Let j(b) = -b**2 + b + 1. Let x(l) = 17*l**2 + 2*l + 4. Let q(f) = 2*j(f) - x(f). Let u(v) = -3*v. Give q(u(i)). -171*i**2 - 2 Let t(i) be the second derivative of -i**3/6 + 14*i. Let r(o) = -o. What is t(r(p))? p Let h(i) = -7*i**2 - 5*i. Let g(f) = 3*f**2 + 2*f. Let c(s) = 10*g(s) + 4*h(s). Suppose 0*n + 4*n - 8 = 0. Let o(z) = 2*z**2 - z**n + 0*z**2. What is c(o(j))? 2*j**4 Let z(a) = 8*a. Let f(w) be the second derivative of -w**4/6 + 5*w. Give f(z(q)). -128*q**2 Let a(k) = 4*k + 8. Let x(d) = d + 3. Let l(h) = -3*a(h) + 8*x(h). Let m(t) = -5*t**2. Calculate m(l(p)). -80*p**2 Let n(s) = 2*s. Let z(x) = -5*x - 14. Let t(l) = 6*l + 15. Let c(f) = 4*t(f) + 5*z(f). Give n(c(d)). -2*d - 20 Let m(o) be the third derivative of o**5/60 + 23*o**2. Let p(f) = -4*f**2 - f. Give m(p(c)). 16*c**4 + 8*c**3 + c**2 Let f(q) = -12*q**2 + 3. Let b(c) = -5*c**2. Give b(f(t)). -720*t**4 + 360*t**2 - 45 Let l(r) = 2*r**2. Let m(x) = 1 + 116*x - 167*x + 0. Give m(l(q)). -102*q**2 + 1 Let x(r) be the third derivative of 0 + 0*r**3 + 1/12*r**4 + 0*r + 2*r**2. Let i(k) be the second derivative of -k**4/4 - 7*k. Give x(i(l)). -6*l**2 Let m(y) = y + 1. Let p(r) = 0*r - 11 - 8*r - 2*r. Let k(n) = -22*m(n) - 2*p(n). Let u(w) = -87*w - 2 + 2 + 86*w. Determine u(k(v)). 2*v Let u(p) = -463*p. Let n(t) = -5*t. Calculate u(n(w)). 2315*w Let a(r) = -4*r**2 + 3. Let g(j) = 3*j**2. What is g(a(h))? 48*h**4 - 72*h**2 + 27 Let w(s) = s. Let m(v) be the first derivative of 0*v + 1/2*v**2 + 2 + 1/24*v**4 + 0*v**3. Let y(h) be the second derivative of m(h). Calculate y(w(r)). r Let g(r) = r**2 - 11*r + 11*r. Let y(q) be the third derivative of -q**5/60 - q**3/6 + 2*q**2. Let o(n) be the first derivative of y(n). Calculate g(o(j)). 4*j**2 Let p(z) be the second derivative of z**3/2 - 2*z. Let y(x) = -10*x**2. What is p(y(k))? -30*k**2 Suppose -2*v + 20 = 3*v. Let d(o) = -v*o + 0*o + 3*o - o. Let b(h) = -2*h. Give b(d(r)). 4*r Let h(c) = -c. Let s = 2 + -2. Suppose s = -3*i + 8*i - 35. Let z(o) = o + 7 - i. What is z(h(j))? -j Suppose -2*x - 2 = -6. Let z(w) = -x*w + 4*w - 3*w. Let o(g) = 7*g - 4*g - g. Calculate z(o(d)). -2*d Let x(s) = -2*s**2. Let j be (10/30)/((-2)/(-12)). Let g(l) = -8*l + 7*l - j*l. Determine g(x(v)). 6*v**2 Let l(k) be the third derivative of -k**8/4032 + 2*k**5/15 + 4*k**2. Let y(m) be the third derivative of l(m). Let a(r) = -r**2. Determine a(y(h)). -25*h**4 Let b(z) be the first derivative of 0*z + 0*z**2 - 1/3*z**3 - 1. Let c(p) = 3*p - 4*p + 4*p. Give c(b(m)). -3*m**2 Let p(d) be the second derivative of d**3/6 + d + 3. Let t(x) = -2*x**2 - x**2 - 3*x**2. Determine t(p(n)). -6*n**2 Let n(o) = 2*o**2 - 21*o. Let h(i) = i**2. What is n(h(m))? 2*m**4 - 21*m**2 Let w(b) = -3*b. Let j(u) = 4*u**2 + 2*u**2 +
{ "pile_set_name": "DM Mathematics" }
s**2 - 4*s + 5203 What is the m'th term of 74077, 148151, 222225, 296299, 370373? 74074*m + 3 What is the i'th term of -49000, -48992, -48970, -48928, -48860, -48760, -48622? i**3 + i**2 - 2*i - 49000 What is the b'th term of -5283, -10567, -15851, -21135, -26419? -5284*b + 1 What is the t'th term of -16631, -16626, -16621? 5*t - 16636 What is the t'th term of -225, -892, -2013, -3594, -5641, -8160, -11157, -14638? -t**3 - 221*t**2 + 3*t - 6 What is the t'th term of -63, -289, -815, -1779, -3319, -5573? -23*t**3 - 12*t**2 - 29*t + 1 What is the r'th term of -7450, -14901, -22352, -29803, -37254? -7451*r + 1 What is the w'th term of -12789, -25631, -38475, -51321, -64169, -77019? -w**2 - 12839*w + 51 What is the o'th term of 2190, 2228, 2290, 2376, 2486, 2620, 2778? 12*o**2 + 2*o + 2176 What is the o'th term of 22283, 44582, 66877, 89168, 111455, 133738? -2*o**2 + 22305*o - 20 What is the m'th term of 8323, 8320, 8321, 8326, 8335, 8348, 8365? 2*m**2 - 9*m + 8330 What is the a'th term of -39257, -39242, -39201, -39122, -38993, -38802, -38537, -38186? 2*a**3 + a**2 - 2*a - 39258 What is the v'th term of -164, -323, -482, -641? -159*v - 5 What is the u'th term of 4820, 19524, 44110, 78578? 4941*u**2 - 119*u - 2 What is the r'th term of -2917, -5401, -7885, -10369, -12853, -15337? -2484*r - 433 What is the s'th term of 5282, 10531, 15796, 21083, 26398, 31747? s**3 + 2*s**2 + 5236*s + 43 What is the s'th term of 146, 288, 412, 512, 582, 616, 608? -s**3 - 3*s**2 + 158*s - 8 What is the l'th term of 429766, 859527, 1289286, 1719043, 2148798, 2578551, 3008302? -l**2 + 429764*l + 3 What is the w'th term of 374, 1157, 3266, 7361, 14102, 24149, 38162? 110*w**3 + 3*w**2 + 4*w + 257 What is the t'th term of -205, 551, 1309, 2069? t**2 + 753*t - 959 What is the i'th term of 42973, 42972, 42971, 42970, 42969, 42968? -i + 42974 What is the c'th term of 47544, 95087, 142630, 190173, 237716, 285259? 47543*c + 1 What is the i'th term of -18, 14, 96, 228? 25*i**2 - 43*i What is the z'th term of 661, 452, 95, -416, -1087? -z**3 - 68*z**2 + 2*z + 728 What is the z'th term of 299, 1115, 2439, 4271, 6611? 254*z**2 + 54*z - 9 What is the s'th term of 7982, 8136, 8392, 8750, 9210, 9772? 51*s**2 + s + 7930 What is the d'th term of 8489, 8490, 8491, 8492, 8493? d + 8488 What is the s'th term of -17673, -17753, -17847, -17961, -18101, -18273, -18483, -18737? -s**3 - s**2 - 70*s - 17601 What is the h'th term of 49787, 49789, 49791? 2*h + 49785 What is the z'th term of -31872, -63759, -95660, -127581, -159528, -191507? -z**3 - z**2 - 31877*z + 7 What is the o'th term of 294, 591, 902, 1227, 1566, 1919, 2286? 7*o**2 + 276*o + 11 What is the c'th term of 545, 726, 937, 1190, 1497, 1870, 2321? 2*c**3 + 3*c**2 + 158*c + 382 What is the r'th term of 3231, 3229, 3227, 3225, 3223, 3221? -2*r + 3233 What is the m'th term of -62, -12, 38, 88? 50*m - 112 What is the m'th term of 99313, 397275, 893893, 1589179, 2483145, 3575803, 4867165, 6357243? 2*m**3 + 99316*m**2 - 5 What is the f'th term of 1653, 4153, 6653, 9153? 2500*f - 847 What is the i'th term of -10037, -19873, -29709? -9836*i - 201 What is the o'th term of -39, -10, 65, 204, 425, 746? 3*o**3 + 5*o**2 - 7*o - 40 What is the l'th term of -1283, -1269, -1255, -1241, -1227? 14*l - 1297 What is the a'th term of -7387, -7337, -7255, -7141? 16*a**2 + 2*a - 7405 What is the o'th term of -4588, -9171, -13750, -18325, -22896, -27463? 2*o**2 - 4589*o - 1 What is the x'th term of -640, -2799, -6400, -11443, -17928, -25855, -35224? -721*x**2 + 4*x + 77 What is the s'th term of -47, -254, -725, -1592, -2987, -5042? -22*s**3 - 53*s + 28 What is the u'th term of 8413, 16775, 25137, 33499? 8362*u + 51 What is the b'th term of 342, 650, 1156, 1860? 99*b**2 + 11*b + 232 What is the k'th term of 3329, 6637, 9937, 13229, 16513? -4*k**2 + 3320*k + 13 What is the o'th term of -977, -996, -1015, -1034, -1053, -1072? -19*o - 958 What is the q'th term of 1481, 2937, 4393, 5849, 7305, 8761? 1456*q + 25 What is the d'th term of -1507, -2978, -4413, -5806, -7151, -8442, -9673? d**3 + 12*d**2 - 1514*d - 6 What is the b'th term of 3205, 6398, 9577, 12736, 15869, 18970? -b**3 - b**2 + 3203*b + 4 What is the l'th term of -247, -577, -907, -1237, -1567, -1897? -330*l + 83 What is the g'th term of -765, -753, -727, -681, -609, -505, -363, -177? g**3 + g**2 + 2*g - 769 What is the g'th term of 92, 181, 262, 335, 400, 457, 506? -4*g**2 + 101*g - 5 What is the m'th term of -6806, -13604, -20402, -27200, -33998? -6798*m - 8 What is the l'th term of 5600, 11198, 16802, 22412, 28028? 3*l**2 + 5589*l + 8 What is the r'th term of -443, -3394, -11307, -26636, -51835, -89358, -141659, -211192? -409*r**3 - 27*r**2 - 7*r What is the k'th term of -453, -549, -707, -927, -1209? -31*k**2 - 3*k - 419 What is the y'th term of -2061, -4130, -6203, -8280, -10361, -12446? -2*y**2 - 2063*y + 4 What is the j'th term of 147627, 147629, 147633, 147639, 147647, 147657? j**2 - j + 147627 What is the c'th term of -20497, -20494, -20491, -20488? 3*c - 20500 What is the l'th term of -13, -71, -257, -643, -1301? -12*l**3 + 8*l**2 + 2*l - 11 What is the c'th term of 55226, 55207, 55186, 55169, 55162, 55171? c**3 - 7*c**2 - 5*c + 55237 What is the g'th term of 95731, 382943, 861631, 1531795? 95738*g**2 - 2*g - 5 What is the j'th term of -789, -709, -629, -549, -469? 80*j - 869 What is the h'th term of -463, 34, 1393, 4046, 8425? 72*h**3 - h**2 - 4*h - 530 What is the h'th term of 2120, 16899, 57020, 135155, 263976, 456155, 724364, 1081275? 2112*h**3 - h**2 - 2*h + 11 What is the n'th term of 500, 487, 480, 479, 484? 3*n**2 - 22*n + 519 What is the h'th term of -51573, -51571, -51569, -51567, -51565, -51563? 2*h - 51575 What is the o'th term of 3452, 13807, 31060, 55211, 86260, 124207, 169052? 3449*o**2 + 8*o - 5 What is the p'th term of 1325, 1303, 1269, 1217, 1141, 1035, 893? -p**3 - 15*p + 1341 What is the x'th term of 2750, 2756, 2774, 2810, 2870, 2960, 3086, 3254? x**3 - x + 2750 What is the y'th term of 17, 253, 955, 2363, 4717, 8257, 13223? 40*y**3 - 7*y**2 - 23*y + 7 What is the n'th term of -61, 931, 2599, 4955, 8011, 11779? 2*n**3 + 326*n**2 - 389 What is the i'th term of -9164, -18338, -27514, -36692, -45872, -55054, -64238? -i**2 - 9171*i + 8 What is the d'th term of -829, -875, -921? -46*d - 783 What is the j'th term of 504, 4126, 13952, 33084, 64624, 111674, 177336, 264712? 517*j**3 + 3*j - 16 What is the f'th term of 1103, 1504, 1889, 2252, 2587, 2888, 3149, 3364? -f**3 - 2*f**2 + 414*f + 692 What is the v'th term of 6213, 6215, 6219, 6225, 6233, 6243, 6255? v**2 - v + 6213 What is the b'th term of 76, 637, 2210, 5317, 10480? 87*b**3 - 16*b**2 + 5 What is the r'th term of 7820, 7823, 7826, 7829, 7832, 7835? 3*r + 7817 What is the l'th term of -197, -815, -1853, -3311, -5189? -210*l**2 + 12*l + 1 What is the n'th term of -413, -408, -399, -386, -369? 2*n**2 - n - 414 What is the b'th term of -764251, -1528499, -2292743, -3056983, -3821219, -4585451? 2*b**2 - 764254*b + 1 What is the f'th term of -107852, -215700, -323548, -431396, -539244? -107848*f - 4 What is the v'th term of 3824, 3802, 3758, 3686, 3580, 3434? -v**3 - 5*v**2 + 3830 What is the f'th term of 2596, 5195, 7798, 10405, 13016? 2*f**2 + 2593*f + 1 What is the m'th term of 12500, 24889, 37278, 49667, 62056? 12389*m + 111 What is the u'th term of -629, -646, -663, -680? -17*u - 612 What is the o'th term of -34918, -139665, -314244, -558655, -872898, -1256973, -1710880? -34916*o**2 + o - 3 What is the c'th term of -222844, -891376, -2005596, -3565504, -5571100, -8022384? -222844*c**2 What is the a'th term of -4398, -4471, -4518, -4527, -4486, -4383, -4206, -3943? 2*a**3 + a**2 - 90*a - 4311 What is the q'th term of 2629, 10543, 23749, 42253, 66061, 95179, 129613? q**3 + 2640*q**2 - 13*q + 1 What is the z'th term of -1239, -2361, -3485, -4611, -5739, -6869? -z**2 - 1119*z - 119 What is the l'th term of -894, -1843, -2794, -3747, -4702? -l**2 - 946*l + 53 What is the m'th term of 79, 510, 1671, 3928, 7647, 13194, 20935, 31236? 61*m**3 - m**2 + 7*m + 12 What is the d'th term of -1896, -2018, -2228, -2532, -2936, -3446, -4068, -4808? -d**3 - 38*d**2 - d - 1856 What is the t'th term of -2391291, -2391290, -2391289? t
{ "pile_set_name": "DM Mathematics" }
40/3) assuming k is positive. k**(32840/27) Simplify (b**(-16)*b/((b/((b/b**1)/b*b))/b)*(b**(-3/5))**(10/9))**(-1) assuming b is positive. b**(47/3) Simplify ((((n*n*(n*n**4/n)/n)/n**(-8))**27)**(3/2))**(-9) assuming n is positive. n**(-9477/2) Simplify (v/((v/(v*v**(1/4)*v)*v)/v)*v/v**(-2))**50/((v/(v**(-4/5)*v)*v)/((v/(((v**(-1/9)/v)/v)/v))/v))**11 assuming v is positive. v**(24923/90) Simplify ((b**(2/19)/(b**19*b))/((b**(-1/8)*b)/b)**(-2/3))**(-6) assuming b is positive. b**(4555/38) Simplify ((((x*x**(1/11))/(x/(x**11/x)))/(x**(-5)*x)**(6/11))**(-3/8))**(6/7) assuming x is positive. x**(-1215/308) Simplify (((z*z/(z/(z/(z**38*z*z*z))))/z*z)/(z*z/(((z**21*z)/z)/z)*z)*(z*z**(-1))/(z/(z*z/(z/(z/((z*(z**18*z)/z)/z*z*z)*z*z)))))**26 assuming z is positive. z**(-1014) Simplify (b/(b**(-19)/b)*b/b**(-13)*b*(b**12)**24)**(2/13) assuming b is positive. b**(648/13) Simplify ((c**12/c**(-3))/(((c/((c**(-8/9)*c)/c*c))/c)/(c/(c*c**(-8)*c*c))))**25 assuming c is positive. c**(4750/9) Simplify ((b**(-1))**39*(b**(-7)*b)/b**(-1/6))/(b*b**4*b**(-1/5)*b*b**(3/2)*b**(1/14)/b) assuming b is positive. b**(-10753/210) Simplify (y**(-1/32))**(-11)/(y**(4/11)/y**(-16)) assuming y is positive. y**(-5639/352) Simplify (q*q/((q**0/q*q)/q)*q)**(-21)/((q*q**(3/5)*q)/((q/(q**(1/4)*q))/q))*(q**(-1/2)/(q**(3/7)*q*q))**(-44) assuming q is positive. q**(5741/140) Simplify (o**(4/7)*o*o/(o*o**(-2/5)/o*o*o*o))**(-33/4)/(o**7*o/o**(-6))**(-6) assuming o is positive. o**(11793/140) Simplify ((i**(-28)*i/(i/(i/i**(7/2))*i*i))/(i**29/(i*(i*i*i*i*i**22*i)/i*i)))**(-2/55) assuming i is positive. i**(67/55) Simplify ((n/n**(-2))**8)**(-1/23)/(n**(1/6)*n**2*((n/n**(-5))/n)/((n/(n/(n*n*(n*n*n**(-1/3)*n*n)/n)))/n)) assuming n is positive. n**(-209/46) Simplify ((g**(-1)/g)/(g*g*g**(-5)))**(37/4)/((g*g**(-2)*g)/(g/g**(1/4)*g*g)*g**(2/7)*(g**(-7)/g)/g*g) assuming g is positive. g**(138/7) Simplify ((o*o**(1/5)*o)/o**(-3/4))/((o/(o*o**(2/3)*o))/o)**(-42)*(((o*o**(-1))/o)**(2/37))**0 assuming o is positive. o**(-2181/20) Simplify (((d*d*d**1)/d)**(-1/46)/(d**(-4/3)*d*d**(1/6)))/((d*(d/d**5*d)/d)/(d/(d/d**(-2/11)))*(d*d**(-2))/(d/d**(-6))) assuming d is positive. d**(16609/1518) Simplify ((r*r/(r/(r**7*r)))/r*r**(1/3))/(r/(r/((r**(2/35)*r)/r))*r*r*r*r**(-16/3)) assuming r is positive. r**(1114/105) Simplify ((p**(-1/3)/p*((p*p/(p/(p/p**6)))/p*p)/p*p*p*p**9*p*p**(-2/5))**(-2/7))**18 assuming p is positive. p**(-948/35) Simplify ((c*c**4)/c**(15/4)*(c/c**(2/23))**(-1/61))**(-38) assuming c is positive. c**(-131689/2806) Simplify ((f/(f*f/(f*f*f**4)*f*f)*f)**(5/4)*((f*f**21)/f)/(f/(((f**19/f)/f)/f)))**(-2/179) assuming f is positive. f**(-82/179) Simplify ((o/o**27)**(-35)/((o**0/o)/o**(36/7)))**(2/25) assuming o is positive. o**(12826/175) Simplify ((i**7/i**(1/17)*((i/(i/(i/((i**(5/3)*i)/i)*i*i)))/i)/(i**0*i))**15)**(4/25) assuming i is positive. i**(256/17) Simplify (((y/(y*y**4*y*y))/y)**45*(y*y/y**10)/(y**(-33)/y*y))**8 assuming y is positive. y**(-2320) Simplify (((n/n**(-7))/(n**8/n))/(n**(-10)*n*n*n/(n*n**7*n*n*n)*n*n*n*n))**(3/2) assuming n is positive. n**(45/2) Simplify ((a**(1/2))**14*((a/a**(1/2))/a)/(a**(1/3)*a))/((a**(-1))**(-1/5)*a**(-3)*a**(-6)) assuming a is positive. a**(419/30) Simplify (i**(-2/3)/(i**0*i)*(i/(i**25/i))/(i*i**22*i*i))**(31/3) assuming i is positive. i**(-4619/9) Simplify ((h**(6/11)*h**(-1/10))/(h**(2/5))**(2/29))/((((h**(5/3)/h)/h)/(h*h**4/h))/((h/(h*h**(-6)))/(h*h**5))) assuming h is positive. h**(45469/9570) Simplify (((f*f/f**(2/5))/f*f)**(-18)*(f/((f*f**(-2/5))/f*f))**20)/((f**1)**0/(f**(-1)*f)**(-20)) assuming f is positive. f**(-104/5) Simplify (l**(-5/3)/l*l/(l*l**0*l))**38/((l**(2/11)/l*l*l**7)/(((l**(-3/8)/l)/l)/(l/(l*l**(3/8))))) assuming l is positive. l**(-4901/33) Simplify (i*i/i**(1/25)*i*i/(i/((i**(2/59)*i*i)/i))*(i**(-1))**(-4/7))**(-1/42) assuming i is positive. i**(-47137/433650) Simplify ((((u*u**(3/7))**37)**29)**(22/9))**(-1/7) assuming u is positive. u**(-236060/441) Simplify ((s/((s*s**8)/s))**(-2/49)/(s**(3/8)/s*s*s**(5/2)/s))**(-48) assuming s is positive. s**(534/7) Simplify ((((y/(y*y*y/(y*y**(5/3)/y)*y)*y)/y)/(y/y**0))/(y**(-3)/(y/y**5)))/(y**2/y**(1/9)*(y*y**(-1/2))**(-1/9)) assuming y is positive. y**(-31/6) Simplify (q/(q**(2/9)/q))/q**(-4)*(q/((q**6/q)/q))/q*(((q**(-5)/q)/q)/q)/q*(q*q**(-2/7))**(4/17)/(q**(1/4))**(1/8) assuming q is positive. q**(-242831/34272) Simplify ((u/(u*u*u/u**10))/(u/(u*u/u**(-16)))*u**8/((u**(-6)/u)/u))**(-2/101) assuming u is positive. u**(-82/101) Simplify (((g*g*g/(g*g*g/g**19*g)*g*g*g*g*g*g)/(g*g*g**37*g))/(((g*g*g*g/g**(2/45))/g*g)/g**30))**(-42) assuming g is positive. g**(-6328/15) Simplify ((a/((a**2/a*a)/a))**(3/20)*(a**4)**44)**12 assuming a is positive. a**2112 Simplify (w**2*w*w**(-2/17))**27*(w/w**(-1))**(-2/57)*(w**0)**(-36) assuming w is positive. w**(75343/969) Simplify ((v**6*((v/v**5*v)/v)/v*((v*v/(v**(-1)/v)*v)/v)**0)**(-2/115))**(-10/11) assuming v is positive. v**(4/253) Simplify ((l**(-4/3)*l)**17/(l**(-4/11))**(-37))**(-4/5) assuming l is positive. l**(2524/165) Simplify (y**0*y/((y**(-3)*y)/y*y))/((y/y**(3/2)*y)/(y*y/y**(-3/7)))*(y**(-1/2))**(-1/35)/(y/y**(-1))**(-22/3) assuming y is positive. y**(2059/105) Simplify (((((r*r**(-5)*r)/r)/r)/r)/(r*r**6))/(r**(-2/5)/((r/(r*r**(1/4)*r))/r))*(r**1)**(15/11)*r**(-1/4)/(r**(-1/4)*r) assuming r is positive. r**(-3187/220) Simplify ((((i**(2/7))**(2/65))**(1/4))**(-6/5))**(-9) assuming i is positive. i**(54/2275) Simplify (r**3/(r**(-1/3)*r))/(((r*r/(r**(-5/2)*r))/r)/(r*(r*r/(r/r**(2/5))*r*r)/r))*(r**14*(((r**12*r)/r)/r)/r)**43 assuming r is positive. r**(31057/30) Simplify (w**(-14/3)/w**11*(((w*w/((w/w**(-2)*w*w*w)/w)*w)/w)/w*w)**(-4/15))**(-3/4) assuming w is positive. w**(223/20) Simplify (x**15/((x*x/x**9*x)/x*x)*(x**(3/7))**(-33))**(-2/21) assuming x is positive. x**(-32/49) Simplify (k/k**(-1/4)*k**14/k*k)**40/(k*k/k**(-2)*k*k*k*k*k/k**5*k*k*k*k*k**(-1/7)*k*k*k**(-5)) assuming k is positive. k**(4236/7) Simplify (b*b**(2/11)*b*b**(-4))/((b*b**(1/4)*b)/(b*b/(b*b**(-2/11)/b)))*b/b**(-6)*b*b**(-1/5)*b**(-4/5)*b*b**(1/9) assuming b is positive. b**(2465/396) Simplify (h**(-6)/h*h**3)**(2/71)*(h/((h**3*h)/h))/(h**1*h)*(h**(-1))**(-8/5) assuming h is positive. h**(-892/355) Simplify ((((x*x/x**(1/17)*x)/((x**(-47)*x*x*x)/x))**(-21))**46)**(-47) assuming x is positive. x**(37002630/17) Simplify (k**(-8/7))**(6/7)*(k*k**(-44)*k)/k*k*k*k**(2/31)*k*k assuming k is positive. k**(-60631/1519) Simplify (m**(-1))**(-16)*(m**(-2/5)/m)**(-2/35)*(m*m/(m**7*m)*m*m**(-1/3))/(m**(-1/3))**(-1/43) assuming m is positive. m**(34633/3225) Simplify ((j**(-8)/j)/j**(-1/8))/(j**6/(j**(1/6)/j))*((j**(-1/2))**(6/13))**9 assuming j is positive. j**(-5549/312) Simplify (o**(19/5)*o)/(o*o**(2/15))*o**(-1/34)*o/(o/o**(-28)) assuming o is positive. o**(-2485/102) Simplify ((((z**(-3/10)/z)**(-1/19))**(-46))**(-30))**10 assuming z is positive. z**(17940/19) Simplify ((a**3*(a*a**(1/2))/a*(a*a**(2/19))/a**(2/5))**(-5/8))**(-2/111) assuming a is positive. a**(799/16872) Simplify (n**7*n*(((n*n/(n/(n/n**4)*n))/n)/n)/n)**(-45)*(n**(2/15)*n*n*n*n*n*((n*n**(-1/4)/n*n)/n)/n*n)**(-48) assuming n is positive. n**(-1622/5) Simplify (p/(p/p**(1/2))*p/(p/(((((p**31*p*p*p)/p)/p)/p*p)/p)))/(p*p*p**(-15)*p**(-1/5)) assuming p is positive. p**(447/10) Simplify (m**(-3/11)/m**(2/9))**(-2/29)/((m/m**0)**(2/9)*(m/m**6)/m**(-3)) assuming m is positive. m**(578/319) Simplify ((o**4/o)/o)/o*o**(-3)*(o*o/o**(2/3))/o**1*(o/o**(-2/17)*o)/o**(3/8)*((o*o*o**(-2/3))/o)**6 assuming o is positive. o**(847/408) Simplify (v/((v**18*v)/v))**(1/25)/(v**(-32))**(-1/100) assuming v is positive. 1/v Simplify (t*t*t*t**(-5))**(-9/4)/(t/(t*t**(-14/9))*t**(-8)) assuming t is positive. t**(197/18) Simplify (((g/g**(-2/11)*g)**(-1/25)/(g**(-1))**21)**(12/13))**(6/7) assuming g is positive. g**(414072/25025) Simplify ((z**(-4)*z)**(2/47)*(z**(-2/3))**(-15/4))**37 assuming z is positive. z**(8251/94) Simplify (((c**(-19)*c*c**(-6)*c)**15)**(-40))**(3/20) assuming c is positive. c**2070 Simplify ((h**(-2/5))**(2/5)/(h*h/h**(2/7))**(-2/15))/((h*h*h/(h*h/h**(-2/5))*h*h*h*h)**(-1/16))**(-10/3) assuming h is positive. h**(-3737/4200) Simplify (p**(3/5)*(p*p**(-1/9))/p*((p*p/p**1)/p)**(-13))/((p/(p**(4/5
{ "pile_set_name": "DM Mathematics" }
give z. -5 Rearrange (20*f**3 - 3*f**3 - 9*f**3 + (f**2 + 1 - 1)*(f - 3 + 3))*(2*f - f - 3*f) to the form i*f + g*f**3 + l*f**2 + a*f**4 + z and give a. -18 Express (10*x**2 + 1266*x + 4 - 1266*x)*(-2*x + x + 2*x) as n*x**2 + y + c*x**3 + w*x and give c. 10 Rearrange (-27*b + 12 - 20 + 17*b)*(-4 - 2 + 1)*(-1 + 5 - 2) to the form n*b + l and give n. 100 Express (50*o**3 - 11*o**3 + 45*o**3)*(4*o + o - 4*o) in the form d*o + m + x*o**4 + s*o**2 + v*o**3 and give x. 84 Express ((1 + 2 - 4)*(-1 + 1 + 9) - 5 + 11 - 5)*((-2*j + 3 - 3)*(2 + 1 - 1) + 3*j - 3 + 3) as k + f*j and give f. 8 Express 6 - 7*r**2 - 1 + 1 + 5*r - 1 - 3*r in the form y + l*r + c*r**2 and give l. 2 Express -156*s**2 + 288*s**2 + 346*s**2 + 381*s**2 + 188*s**2 as i + b*s**2 + c*s and give b. 1047 Express (o + 5 - 5)*(3 - 1 - 1) - 4*o + 4*o - 3*o + (0*o + 5*o + o)*(0 - 1 + 0) in the form j*o + q and give j. -8 Express -2 + 118*l - 227*l + 114*l as y + p*l and give p. 5 Rearrange -2*g**2 + 2*g**2 - g**2 + (-g - 1 + 1)*(-2 - 2*g + 2) - g**2 - 4*g**2 + g**2 + 82*g**2 + 143*g**2 + 17*g**2 - g**2 to i*g**2 + w + u*g and give w. 0 Express (95 + 21 - 13 + 56)*(3*z + 5*z + 6*z) in the form t + s*z and give s. 2226 Express -10*b**2 + 23*b**2 - 47*b**2 - 30*b**2 + 1 in the form d*b + n*b**2 + q and give n. -64 Express -2*m + m - 2*m - 90 + 236*m + 90 + (-2*m - 2 + 2)*(2 + 2 - 5) - 1 + 1 + 2*m as a + u*m and give u. 237 Rearrange -41 + 5*q**2 - q**2 - 6*q**2 + 14 to the form s + c*q**2 + i*q and give c. -2 Rearrange 0*p + p + 8*p - p + 0*p + 3*p + (-4*p + 3*p + 0*p)*(1 + 2 - 4) to the form r*p + u and give r. 12 Express (-2 + 3 + 12)*(-6 + 0 + 1)*(-3*r - 1 + 1) as x*r + w and give x. 195 Rearrange 5*l**4 - l**4 - l**4 + (-3*l**2 - l**2 + 3*l**2)*(4 - 82*l**2 + 3 + 80*l**2) to the form y*l**2 + g*l + z*l**4 + t*l**3 + h and give z. 5 Rearrange 3 - 3 - 39*q**2 + 49*q - 2 - 50*q - 2*q**3 to d + m*q**2 + v*q + z*q**3 and give m. -39 Express (1236 - 1236 + 265*d)*(-5 + 2 + 1) in the form f*d + r and give f. -530 Express (2 - 6 + 2 + (0 + 2 + 0)*(-2 + 1 + 3) + 0 + 1 + 1)*(226*o**2 + 242*o**2 - 372*o**2)*(0 + 0 + o) in the form q*o**3 + x*o**2 + p*o + f and give q. 384 Rearrange (-35*b + 13*b + 11*b)*(0*b**3 - 5*b**3 + 2*b**3) + 0*b**2 + 4*b**4 + 0*b**2 to y + v*b**2 + x*b**4 + p*b + r*b**3 and give x. 37 Express 3 + 135*m + 2*m**3 - 65*m - m**4 - 113*m as n*m**4 + j*m**3 + c*m + t*m**2 + q and give c. -43 Express 63*n**2 + 58*n**2 + 11*n**3 + 55*n**2 - 175*n**2 + 75*n**3 in the form q + c*n**3 + s*n**2 + m*n and give c. 86 Express (1 + 2 - 2)*(-4 + 3*h + 4)*((5 + 0 - 2)*(-h + 5 - 5) - 3 + 3 - h) as w + y*h + l*h**2 and give l. -12 Express -153*s**4 + s + 3*s**2 + 0*s**2 + 2 + 138*s**4 as j + n*s**2 + w*s + k*s**3 + r*s**4 and give w. 1 Express (-2*n - 3*n + 4*n)*(-813 + 14*n**3 + 813) - n**2 + n**2 - 2*n**4 in the form v*n**2 + s*n**3 + r + t*n + p*n**4 and give p. -16 Express -9*x - 14*x + 2*x**3 + 8*x**2 - 18*x + 44*x in the form n + f*x + r*x**3 + v*x**2 and give v. 8 Express 188*f - 4 + 99*f - 84*f - 16*f as x + u*f and give u. 187 Express (9*t + 13*t - 46*t)*(t - 2*t**2 - t) as l*t**2 + k*t**3 + a*t + h and give k. 48 Rearrange -371*o + 120*o + 120*o + 1 + 129*o to d*o + q and give q. 1 Express (2*b - 2 + 1 + 3)*(142*b + 50*b + 43*b)*(1 - 4 - 21) in the form v + s*b**2 + y*b and give s. -11280 Express -389*v + 11*v - 91*v in the form m*v + c and give m. -469 Express (1 + 2 - 4)*(6*m**3 + 13*m**3 + 9*m**3) + (0*m**2 - 3*m**2 - 4*m**2)*(1 + m - 1) in the form x*m + w*m**3 + f + h*m**2 and give w. -35 Express (x**3 - x**3 + x**4)*(-8 + 2 + 3) + 0*x**4 - x**4 - 15*x**4 as i*x**4 + k + r*x + d*x**3 + s*x**2 and give i. -19 Express (-5*b + 4*b - b)*(0*b + 0*b + 2*b**3) + 2*b - 16 - 127*b**4 - 7 + 22 in the form d*b**4 + k*b**3 + o*b + m*b**2 + q and give q. -1 Rearrange 335771 + 574*m - 335771 to the form h + g*m and give g. 574 Rearrange 484*j - 386*j + 669*j + 728*j + 0*j to the form a*j + u and give a. 1495 Express (2*k + 0*k + 0*k)*(-197*k**2 + 143*k**2 + 119*k**2)*(5 - 4 + 2) in the form h + l*k**3 + u*k + o*k**2 and give l. 390 Rearrange (-6 + 15 - 2)*(3545 + 90*x - 3545) to the form h*x + l and give h. 630 Express (0 + 0 - 1)*(-h + h + h) - 3*h - 2*h + 3*h + 608*h + 2 + 25 + 2144*h - 27 as f*h + v and give f. 2749 Express 0*o + 5*o + 3*o + (34*o + 7*o - 15*o)*(-2 + 1 + 3) in the form b + w*o and give w. 60 Rearrange (5 + 3 - 2)*(-7*p + 19 - 19) to z + g*p and give g. -42 Express (-25*g + 31*g + 56*g)*(2*g**2 - 2*g**2 - 2*g**2) + 8 - 8 - g**3 + 6 - 6 + 7*g**3 in the form r*g + f*g**3 + u + a*g**2 and give f. -118 Express y**4 - 5*y**3 + 2*y**2 + 187*y + 0*y**2 + 32*y**3 - 358*y + 175*y in the form x + g*y**4 + i*y**3 + c*y + z*y**2 and give z. 2 Rearrange (56*j**2 - 26*j**2 + 28*j**2)*(29 - 75 + 32)*(-3 + 2*j + 3) - 3*j**3 + 3*j**3 + j**3 to t*j + z*j**2 + i + c*j**3 and give c. -1623 Rearrange 4*o**2 - 6*o**2 - 6*o - 5 + 3 + 18*o to l + g*o**2 + h*o and give g. -2 Rearrange -83 - 13*i + 26 + 20*i - 15*i to the form o + t*i and give t. -8 Express (-6557 - 415*g**3 + 6557)*(2 - 3 + 2) as q*g**3 + s*g + o*g**2 + k and give q. -415 Express -1059*h**4 + 2 + 1060*h**4 + h**3 + 7*h**2 - 2 as q*h**2 + d*h + o + i*h**4 + j*h**3 and give i. 1 Express -67*a + 2*a**3 + 6*a**4 + 1 + 7*a**4 - 20*a - 12*a**4 in the form i*a**2 + u*a + k*a**4 + b*a**3 + o and give k. 1 Express 42*g**2 + 15*g**3 - 200*g**2 - 84*g**2 - 9*g**3 - 5*g**3 as a + b*g + d*g**3 + p*g**2 and give p. -242 Rearrange 8 - 9*j + j**2 + 59*j - 2 - 5 to g*j**2 + m + a*j and give a. 50 Rearrange 5*v**2 + 5*v**3 + 11*v - 3*v**2 - 4*v - 21*v to s + w*v + d*v**2 + a*v**3 and give d. 2 Rearrange 311*b**4 - 12*b + 1 - 635*b**4 - 2*b + 319*b**4 to the form h + m*b**4 + z*b + f*b**3 + g*b**2 and give m. -5 Express (3*h**4 - 3*h**4 - 2*h**4)*(-134 - 14 - 799) as s*h + b*h**4 + x + v*h**2 + o*h**3 and give b. 1894 Express -196 - 195 + 391 - 289*x**2 as i*x**2 + g + s*x and give i. -289 Rearrange 77*z + 3*z**3 + 3 - 85*z - 3 - 2*z**2 - 1 to h*z**3 + y + j*z + b*z**2 and give y. -1 Express -8*m + 23 - 23 + 2*m + 2*m - 5*m + (-1 + 5 - 1)*(-3*m + m + 0*m) as n*m + q and give n. -15 Rearrange 2 - 5*z + 6622*z**2 + 11 + 2*z**3 - 2 - 6624*z**2 to h*z**2 + g + t*z + w*z**3 and give w. 2 Express 2 - 5*g**3 + 30*g + 43*g - 24*g as q + l*g**3 + c*g**2 + m*g and give m. 49 Rearrange (5*m - 14 + 14)*(-30*m - 14*m - 19*m) to the form y + v*m**2 + d*m and give v. -315 Express 109 - 8*l + 22 - 35 + 6*l as k*l + o and give o. 96 Express (5 - 2 + 0)*(-3240*n + 2 - 3500*n + 7480*n) in the form m*n + z and give m. 2220 Express -16 + 3*l**3 + 13 + 4*l**2 - 3*l**2 - 4*l**3 + 7*l as g*l + q*l**2 + k*l**3 + t and give t. -3 Express -2*b**3 - 3*b**2 + 557*b - 10 - 557*b in the form w*b**2 + m*b**3 + c*b + j and give j. -10 Rearrange 28*o - 8*o - 6*o - 4*o + 7*o**3 - 13*o to a*o**2 + w*o**3 + m + i*o and give a. 0 Express (-x**2 + 2*x**2 - 2*x**2)*(-2*x**2 + 4 - 4) - 6129 + 6129 - 44*x - 5*x**4 as o*x**3 + q*x**4 + a*x**2 + v + i*x and give i. -44 Express -35*c + 59*c + 36*c + 2 in the form l + p*c and give p. 60 Express (0*c**3 + 2*c**3 + 0*c**3)*(2*c + c - 4*c) + 2025*c**2 + 99*c**4 - 2025*c**2 in the form n*c**2 + h*c**4 + r*c + g*c**3 + v and give g. 0 Express -y**2 - y**4 + 3*y - y**3 + 4*y - 8*y - 2 + 2*y in the form g*y**3 + z + n*y**2 + h*y**4 + p*y and give g. -1 Rearrange -2*l**3 + 2 - 2615*l**2 - 3 + 2560*l**2 to i*l + p + b*l**2 + j*l**3 and give p. -1 Rearrange -7*v - 4 + 4*v + 4*v**3 + 3 - 3*v**3 - 2*v - 5*v**4 to the form r*v**3 + l*v + y + t*v**2 + h*v**4 and give y. -1 Rearrange -2*y - 2 - 12 + y + 0 to b + q*y and give q. -1 Express (2 + 3 - 3)*(-72 + 58 + 52)*(u + 0*u + 0*u) - 3*u - 2*u + 2*u in the form k + n*u and give n. 73 Rearrange (-3302*a + 3302*a + 985*a**2)*(0*a - a + 3*a) + a**3 - a**3 + 2*a**3 to c*a**3 + m*a + f + x*a**2 and give c. 1972 Rearrange 43*d + 86*d - 638*d to the form g*d + o and give g. -509 Rearrange (58*o**2 - 4*o**2 + 38 - 38)*(1 + 1 - 1 + (3 - 5 + 0)*(-2 - 1 + 5)) to the form g*o**2 + n + p*o and give g. -162 Rearrange (-11 - 5 - 4)*(-z - 212 + 212) to the form u + x*z and give x. 20 Rearrange 17*i**3 - 2 + 3 + 285*i**2 - 286*i**2 to m*i + z + g*i**2 + j*i**3 and give z. 1 Rearrange -2*t**3 + 0*t + 5 - 11*t**4 - 6 - t to t
{ "pile_set_name": "DM Mathematics" }
out replacement from bsbbssssbbiiisibb. What is prob of picking 2 b? 21/136 Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, h: 3}. 1/5 Two letters picked without replacement from {m: 2, r: 1, c: 4, k: 2}. What is prob of picking 2 k? 1/36 Two letters picked without replacement from qkuuwuqawuwqwquw. What is prob of picking 1 q and 1 u? 1/6 Two letters picked without replacement from nthhi. Give prob of picking 2 h. 1/10 Calculate prob of picking 1 y, 1 t, and 1 a when three letters picked without replacement from afftffaafxtfyaftxfft. 4/285 What is prob of picking 2 w and 1 i when three letters picked without replacement from {i: 8, w: 2}? 1/15 Calculate prob of picking 3 c when three letters picked without replacement from ececececcceecccccce. 220/969 What is prob of picking 3 g and 1 h when four letters picked without replacement from {e: 1, i: 3, g: 3, h: 6}? 6/715 Three letters picked without replacement from jbakifa. What is prob of picking 1 f, 1 j, and 1 a? 2/35 Four letters picked without replacement from ggggiggggggigggigg. Give prob of picking 4 g. 91/204 What is prob of picking 1 v and 2 g when three letters picked without replacement from cgjxgvxt? 1/56 Four letters picked without replacement from {o: 1, f: 2, w: 1, z: 4, q: 2, e: 5}. What is prob of picking 1 w and 3 z? 4/1365 What is prob of picking 1 a and 1 g when two letters picked without replacement from gmmemaegamme? 2/33 What is prob of picking 1 z and 1 a when two letters picked without replacement from yyaaazyywaa? 1/11 Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 7, i: 1}. 1/4 Calculate prob of picking 1 w and 3 n when four letters picked without replacement from {m: 4, n: 3, w: 1, l: 5}. 1/715 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from ddbbbwzbbzb. 2/55 Three letters picked without replacement from {t: 3}. Give prob of picking 3 t. 1 Calculate prob of picking 1 q and 2 t when three letters picked without replacement from ldaaqadtqaqaqqqat. 3/340 Four letters picked without replacement from {w: 15, d: 5}. What is prob of picking 4 w? 91/323 Calculate prob of picking 1 k and 1 n when two letters picked without replacement from rodknddono. 2/45 Four letters picked without replacement from {i: 1, a: 5, x: 5, r: 3, s: 2}. Give prob of picking 2 r and 2 s. 3/1820 Four letters picked without replacement from {w: 2, h: 8}. Give prob of picking 4 h. 1/3 Two letters picked without replacement from pprprpp. Give prob of picking 2 r. 1/21 Four letters picked without replacement from rsrrsrrxrrsrjjsrxjr. What is prob of picking 1 r and 3 j? 5/1938 What is prob of picking 1 q and 1 z when two letters picked without replacement from {y: 4, c: 1, x: 1, q: 1, z: 1, l: 4}? 1/66 Calculate prob of picking 3 o when three letters picked without replacement from rrzogrrrz. 0 Calculate prob of picking 1 b and 3 u when four letters picked without replacement from ubbuuu. 8/15 Four letters picked without replacement from {c: 3, b: 1, a: 3, f: 1, i: 2, n: 5}. Give prob of picking 1 f, 1 i, and 2 a. 2/455 Three letters picked without replacement from pppzzpppzpz. Give prob of picking 2 z and 1 p. 14/55 Calculate prob of picking 2 r and 1 h when three letters picked without replacement from {h: 4, r: 15}. 140/323 What is prob of picking 2 t when two letters picked without replacement from ftftztftt? 5/18 What is prob of picking 2 f when two letters picked without replacement from {f: 4}? 1 What is prob of picking 2 d when two letters picked without replacement from xddlgaa? 1/21 Two letters picked without replacement from lillwvql. What is prob of picking 1 i and 1 l? 1/7 What is prob of picking 1 d and 1 s when two letters picked without replacement from ddsssssddss? 28/55 Three letters picked without replacement from ppisssiiiiiziszzsz. What is prob of picking 1 s, 1 i, and 1 z? 35/204 Three letters picked without replacement from emkkyeekyekkkkykkk. Give prob of picking 1 y and 2 k. 45/272 Two letters picked without replacement from {r: 2, w: 8}. What is prob of picking 2 w? 28/45 Calculate prob of picking 2 k and 1 l when three letters picked without replacement from {k: 11, l: 1, v: 3}. 11/91 Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {e: 9, q: 1, b: 1}. 12/55 Four letters picked without replacement from geggedieppgm. Give prob of picking 3 g and 1 d. 4/495 What is prob of picking 1 n and 1 d when two letters picked without replacement from {n: 6, d: 2}? 3/7 Three letters picked without replacement from ppapappaapaaaaatoap. Give prob of picking 2 p and 1 a. 70/323 Four letters picked without replacement from ssttstwss. Give prob of picking 3 s and 1 w. 5/63 What is prob of picking 1 o and 1 k when two letters picked without replacement from okoo? 1/2 Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, k: 9, f: 2, o: 1}. 1/20 What is prob of picking 1 b, 1 k, and 1 y when three letters picked without replacement from ukuuryuykuubku? 3/182 What is prob of picking 2 s and 1 e when three letters picked without replacement from {s: 4, e: 11, a: 3}? 11/136 Two letters picked without replacement from {d: 1, z: 1, i: 2, o: 2, k: 1}. What is prob of picking 1 k and 1 z? 1/21 Calculate prob of picking 3 t when three letters picked without replacement from tvtttttvvttttv. 30/91 What is prob of picking 1 e, 2 o, and 1 g when four letters picked without replacement from {x: 2, o: 5, g: 6, e: 1, k: 3}? 3/119 Two letters picked without replacement from {r: 1, g: 1, s: 1, n: 1, b: 2, d: 2}. Give prob of picking 1 g and 1 r. 1/28 Three letters picked without replacement from {f: 2, l: 1, n: 2}. What is prob of picking 1 f and 2 n? 1/5 What is prob of picking 1 o, 2 l, and 1 r when four letters picked without replacement from loxhohhoorlhhlh? 4/455 Three letters picked without replacement from {a: 1, k: 1, t: 4, r: 2}. What is prob of picking 1 a and 2 t? 3/28 Two letters picked without replacement from uoodssuss. Give prob of picking 1 u and 1 s. 2/9 What is prob of picking 1 w and 1 e when two letters picked without replacement from fwfgwewfeeewweweegw? 49/171 Calculate prob of picking 3 y and 1 z when four letters picked without replacement from {o: 3, y: 4, z: 5}. 4/99 Four letters picked without replacement from vvvvvvvpw. Give prob of picking 1 w, 1 p, and 2 v. 1/6 Three letters picked without replacement from {i: 1, n: 1, r: 2, d: 1}. Give prob of picking 2 r and 1 i. 1/10 Four letters picked without replacement from {v: 2, r: 1, e: 3, q: 2, k: 9, x: 1}. Give prob of picking 1 e, 1 x, 1 q, and 1 r. 1/510 Three letters picked without replacement from cmmacfcfmc. Give prob of picking 2 m and 1 f. 1/20 Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {j: 6, d: 2}. 3/7 Four letters picked without replacement from jjjjnxxxxj. What is prob of picking 3 x and 1 n? 2/105 What is prob of picking 1 s, 1 y, and 2 d when four letters picked without replacement from {s: 2, y: 3, f: 1, d: 10}? 27/182 Calculate prob of picking 2 x when two letters picked without replacement from xqyxyqyqyqjxryyxy. 3/68 Three letters picked without replacement from ttttdtdttttdtdtttdt. Give prob of picking 1 t and 2 d. 140/969 Two letters picked without replacement from {a: 11, c: 9}. Give prob of picking 2 a. 11/38 Three letters picked without replacement from {b: 1, x: 4, d: 1, y: 1, e: 4, c: 1}. Give prob of picking 1 d, 1 y, and 1 x. 1/55 Two letters picked without replacement from tspapnl. What is prob of picking 1 s and 1 t? 1/21 Four letters picked without replacement from {d: 1, u: 3, n: 2, x: 1}. What is prob of picking 2 n, 1 d, and 1 x? 1/35 Three letters picked without replacement from {f: 4, u: 1, n: 6, c: 6}. What is prob of picking 1 u and 2 c? 3/136 Three letters picked without replacement from geayaejggegeagjdddag. Give prob of picking 1 g, 1 d, and 1 e. 6/95 Two letters picked without replacement from {c: 2, g: 1, z: 1, w: 2, l: 1}. What is prob of picking 1 z and 1 c? 2/21 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {v: 4, y: 8,
{ "pile_set_name": "DM Mathematics" }
4*v)*(2 - 2 + 2*v) to the form s + r*v + p*v**2 and give p. 27 Express (2*z - z - 2*z)*(-2*z + 27*z + 75*z) + 4*z**2 - 2*z**2 - 3*z**2 + (4*z - 7*z + 9*z)*(z + 4*z - 4*z) as q*z**2 + y + l*z and give q. -95 Rearrange (w - 260 + w - 560 + 206)*(-w + w - 2*w**2) to v*w**2 + t*w**3 + g + x*w and give t. -4 Rearrange -105 - 20 - 10 + 5*o**3 - 2*o**3 - 139 to the form m*o**3 + k*o**2 + z*o + t and give m. 3 Rearrange 5 - 32*l**2 + 5 - 10 + l to r + c*l + m*l**2 and give m. -32 Express 1 + 12*f**2 - 4 - 9*f**2 + 99*f**2 in the form m*f + t*f**2 + y and give m. 0 Express -245*o - 247*o + 19*o**2 + 492*o - 1 as x + q*o + y*o**2 and give y. 19 Express (-2520*s + 6*s**2 + 2674*s - 3*s**2)*(-3*s**2 + 4*s**2 + 1 - 3*s**2) in the form y*s + b*s**4 + z + u*s**2 + k*s**3 and give b. -6 Rearrange -81 + 5*q**2 + 9*q**2 + 79 to the form n*q**2 + w*q + m and give m. -2 Rearrange 398*n**2 + 399*n**2 - 482*n + n**3 + 402*n**2 - 1199*n**2 to the form u + b*n**3 + r*n**2 + s*n and give s. -482 Rearrange 1552*q**2 + 2*q + 12*q**3 - 1550*q**2 + 0*q - 12 to the form m*q**2 + l + g*q + o*q**3 and give o. 12 Rearrange (-3*b + 4*b - 3*b)*(-3*b - 5*b + 5*b) - 143*b**2 - 183*b**2 - 1 + 279*b**2 to the form s*b + o*b**2 + u and give o. -41 Rearrange -7*d - 5*d**2 - 4*d**3 + 3*d**2 + 134 - 132 to w + f*d**2 + c*d**3 + n*d and give c. -4 Express (-6*y**2 + y - 6*y**2 + 6 + 14*y**2)*(-1 + y**2 + 1 + (-3*y + y**2 + 3*y)*(-55 + 117 - 52)) as a*y + s*y**3 + b + u*y**2 + n*y**4 and give u. 66 Express -1 + 9 + r**3 + 0 + 46*r + 5*r**3 - 9 in the form g*r**3 + l*r**2 + v*r + c and give v. 46 Rearrange -45*m**4 - 5*m**2 - 8*m + 3*m**2 + 48*m**4 - 1 to the form t*m**3 + i + l*m**4 + n*m + v*m**2 and give v. -2 Express -28 + 73 - 39 + 3*w**3 - 5*w in the form n*w**3 + h + x*w + c*w**2 and give x. -5 Express 137 + 264*k - 73 + 283*k - 64 in the form b + a*k and give a. 547 Express -41*d**3 + 84*d**3 - 3*d + d**2 - 57*d**3 as h*d**2 + j*d**3 + l*d + m and give h. 1 Express -352*t**2 + 110*t**2 - 140*t**2 as n*t**2 + s + a*t and give a. 0 Rearrange -40*r - 3065 + 3065 to the form l*r + z and give l. -40 Express (-4*l**2 + 3*l**2 - 5*l**2)*(-40 + 41 - 31)*(5*l - 5*l + 3*l) in the form y + k*l**3 + g*l**2 + t*l and give k. 540 Express (0 - 2 + 1)*(560 - 560 - 20*s)*(2*s**3 - 5*s**3 + 4*s**3) as y*s + q*s**2 + b*s**3 + d + c*s**4 and give c. 20 Rearrange 0*j**4 - 17622*j**2 - 4*j + 17626*j**2 - 2*j**3 + j**4 to u*j**3 + b*j**4 + w*j + v + a*j**2 and give w. -4 Express w**3 + w**2 - 3*w**2 - 4 + 14578*w - 14580*w as t*w**3 + d*w + k + j*w**2 and give k. -4 Express (4*q**2 + 2*q**2 - 5*q**2)*(8*q - q - 2*q)*(-11 - 5 + 2) in the form m*q**3 + i*q**2 + n*q + f and give m. -70 Rearrange q - 61 + 2*q - 6*q to p + t*q and give p. -61 Express (3*b**3 - 3*b**3 - 2*b**3)*(-55*b - 75*b - 99*b)*(4 - 3 - 3) in the form l + i*b**4 + x*b**3 + s*b + m*b**2 and give i. -916 Express -110*m + 1 + 0 + 0 - 185*m in the form u + x*m and give u. 1 Rearrange (4 - 3 - 3)*(4*d**2 - d**2 + d**2) + d**2 + 0 + 0 - 2*d**2 - d + d + d**2 + 7*d - 7*d to w*d**2 + y + k*d and give w. -8 Express (5 - 4 - 14)*(2*y**3 + 9*y**3 + 11*y**3) as m*y**2 + u*y**3 + c + t*y and give u. -286 Express (-5*b - 4*b**3 + 5*b)*(7 + 38*b + 9 - 15) as z*b + d*b**2 + u*b**3 + s*b**4 + h and give u. -4 Express -5*z**3 + 248 + 6*z**3 - 313 in the form s*z + n + v*z**3 + p*z**2 and give v. 1 Rearrange 4*k + 2*k**2 - 6*k - 6*k**3 + 160 - 162 + 3*k - 3*k**4 to u + c*k**3 + p*k**4 + g*k**2 + v*k and give g. 2 Rearrange -118*d**3 - 17*d**2 - 1 + 4 + 122*d**3 + 3*d + 13*d**2 to the form i + y*d + k*d**2 + r*d**3 and give r. 4 Rearrange (-8 + 17*z**2 + 2536*z - 2534*z + 2)*(0 + 3*z - 1 + 0) to the form w*z**3 + d*z + o + c*z**2 and give d. -20 Express 9*i - 1 + 134*i**3 + 3*i - 135*i**3 + (10*i**2 + 20*i**2 + 13*i**2)*(1 - 1 + 2*i) in the form s*i**3 + l + z*i + o*i**2 and give l. -1 Express 42 - 24 - 18 + 152*i in the form z*i + o and give z. 152 Express 11*r**2 - 3*r**2 + 0*r**2 - 8*r**2 + 9*r**3 - 10*r**2 as i + f*r**3 + o*r**2 + b*r and give i. 0 Rearrange -4*v**2 - v**3 - 84 + 0*v**2 + 9*v**2 - 3*v**2 + 2*v to the form x*v**3 + d + q*v + y*v**2 and give y. 2 Rearrange 4*k - 3*k + 0*k + (-5*k + 3*k - k)*(-1 + 4 - 4) + 0*k + 0*k - 2*k - 6*k + 9*k + 4*k + 3*k + 2 - 2 to u + r*k and give r. 12 Rearrange -1 + 15*d + 2*d**3 - 29*d + 13*d - 2*d**2 to m*d**3 + l + j*d + n*d**2 and give j. -1 Express 0*x**2 - 6677*x**3 + x**2 + 5981*x**3 as v*x**3 + z*x**2 + c + y*x and give z. 1 Express -5 - 3*p - 12*p**3 - 9*p**3 - 11*p**3 + 5*p + 0*p in the form q*p + t*p**2 + l + s*p**3 and give l. -5 Express -2*p**4 + p + 2*p**2 + 1 - 2*p - 17*p**3 + 16*p**3 - 19 as a*p**3 + w*p + j*p**4 + m*p**2 + f and give a. -1 Rearrange (-3*m**3 - 6*m**3 - m**3)*(0*m + m + 2*m) + 700*m**4 + 2*m**2 - 2*m**3 - 712*m**4 - 3*m**2 to the form i*m + k*m**4 + o*m**3 + t + r*m**2 and give r. -1 Express -i**4 + 2*i**2 - 2*i**2 + (4*i**4 + 3*i**4 - 5*i**4)*(1 - 3 + 5) - 80 + 32*i**4 + 80 as w*i**4 + s + b*i + p*i**2 + k*i**3 and give w. 37 Rearrange 5*a**3 - 14*a + 9*a**3 + 7*a**3 - 4*a**4 - 17*a**3 to the form x*a + j*a**3 + d*a**2 + r*a**4 + p and give j. 4 Express (15 - 83 - 56)*(3 + 2*w - 3) as q*w + m and give q. -248 Rearrange -268*z + 4 + 529*z + 488*z - 6 + 207*z to t + c*z and give c. 956 Express -n + 38*n**2 + n + n - 2*n**4 - 1 - 50*n**2 in the form x*n + m*n**4 + g*n**2 + c + z*n**3 and give c. -1 Rearrange -r**2 - 1 + 3*r**2 - 2*r**4 + 2*r**3 - 4*r**2 to d*r**2 + j*r**3 + h*r**4 + w*r + y and give j. 2 Express (-10 + 2 - 7)*(-6*y**4 + 7*y**3 - 7*y**3) as p*y**3 + w + f*y + g*y**4 + j*y**2 and give g. 90 Rearrange -4 + 3 - 3*q**2 + 3 + (q - 4*q + q)*(13*q - 6*q - 5*q) - 16*q - 2*q**2 + 16*q to the form z*q**2 + i + f*q and give f. 0 Rearrange 96*v**3 + 0 - 1 - 94*v**3 - 9*v to s + k*v + i*v**3 + p*v**2 and give k. -9 Express -20 + 1 - 2*h + 16 as x + m*h and give m. -2 Express (80 - 93045*h + 93054*h - 7)*(-2 - 3*h + 0*h + 4) as l*h + o*h**2 + r and give l. -201 Rearrange 100*p + p**3 + 0*p**3 + 71*p + 2*p**2 - 36*p to v*p + r + q*p**3 + i*p**2 and give q. 1 Express -13*j**3 - 6*j**3 - 13*j**3 + 55*j**2 - 1 + 35*j**3 in the form r + t*j + q*j**3 + g*j**2 and give q. 3 Express (-2 - 3 - 2)*(-46*l**2 + 1254 - 1254) as y + b*l**2 + f*l and give b. 322 Express 8998*c - 2 - 9007*c + 12*c**3 + 2 in the form l + g*c**2 + r*c + i*c**3 and give i. 12 Rearrange -2*p**2 + 3*p**2 - 2160*p + 2164*p + 9*p**3 to a*p + d + y*p**2 + g*p**3 and give a. 4 Rearrange 17 - 11 - 7 - 4*w + 35*w + 75*w to the form y + x*w and give y. -1 Rearrange -13*x**2 + 7*x**2 + 5*x**2 + 0*x**2 - x + 5*x to q*x**2 + j*x + t and give q. -1 Rearrange -3 + 9382*c**4 + 10*c**3 + 2*c - 2*c**2 - 4688*c**4 - 4691*c**4 to the form r*c**3 + v*c**2 + p*c + m*c**4 + h and give h. -3 Rearrange -60*z + 59*z - 112*z - 58*z to t + l*z and give l. -171 Rearrange -22*s + 0*s**3 - 2 + 2 + 1 + 2*s**2 + 2*s**3 to g*s**2 + h*s + j + t*s**3 and give g. 2 Rearrange -29 - 26*j + 2*j + 22 + 17 - 2*j to the form l + o*j and give o. -26 Rearrange (18 - 18 - 6*w**3)*((-1 + 2*w + 1)*(4 - 3 + 9) - 3*w - 3 + 3) to s + h*w**2 + v*w**4 + g*w**3 + m*w and give v. -102 Rearrange (1 - 1 - 3*a)*(-1 + 5 - 3) - a + 3 - 3 - 863*a + 1730*a - 850*a + 1 to q + f*a and give q. 1 Express 4*o + 22 + 4 - 13 - 1 as j + p*o and give j. 12 Express (3*f**3 + 0*f**3 - 2*f**3)*(13*f - f + f) in the form h + t*f**4 + d*f**2 + i*f + j*f**3 and give t. 13 Rearrange (-2*y + 4*y - y)*(2 - 2 + 1)*(88*y + 26*y - 193*y) to m + k*y**2 + x*y and give k. -79 Rearrange 473*y - 5154*y**2 + 5155*y**2 + 372*y + 16*y to r*y + g*y**2 + d and give r. 861 Rearrange (26 - 26 + 8*o)*(-1 + 1 - 1) + 9*o + 5*o + 8*o to the form r + p*o and give p. 14 Express (-64*d - d**2 - 223*d + 4*d)*(d - 3*d**2 + d**2 + 0*d) as b*d**3 + m*d**4 + g*d + h + a*d**2 and give a. -283 Rearrange (3 - 2 + 1)*(4 - 4 - q)*(2 + 0 - 1)*(2*q + 0 + 0) + (-2632*q + 2632*q + 105*q**2)*(-4 + 2 + 3) to u + o*q**2 + d*q and give o. 101 Express (-5*m**2 + 2*m**2 + m**2)*(-173*m - 2871 + 1441 + 1434) as o*m + i + k*m**2 + s*m**3 and give s. 346 Rearrange 3*o - 524*o**3 + 1773*o**3 - 583*o**3 - 556*o**3 to the form k + t*o**2 + y*o + h*o**3 and give k. 0 Express -34*o**3 + o + 22*o**3 + 3 + 3*o**4 + 11*o**3 - 5*o in the fo
{ "pile_set_name": "DM Mathematics" }
(1/j). Which is smaller: -11/7 or n? n Let m = -159.31 - -5.31. Which is greater: m or -2/5? -2/5 Let n(j) = -2*j + 31. Let c be n(17). Let z be (2/c)/(-4 - 220/6). Which is bigger: z or -1? z Let b(w) = -13 - 7 - 16 - 2*w + 6. Let j be b(-14). Which is smaller: j or -5/3? j Let i = 88/19 + -103/19. Is -1 != i? True Let y = -1970.63 + 1949. Let q = 0.37 - y. Is -1 smaller than q? True Let c be (35 + -41)*4/30. Is -30 at most as big as c? True Suppose -n - 2*p = -119, -2*n + 2*p + 163 = -69. Do n and 117 have different values? False Let a = -54 - -15. Which is smaller: -0.3 or a? a Let t = -4.7 + 5. Let p = t - -1.7. Which is greater: -8 or p? p Suppose -r - 18 = -3*v, 4*r + 23 = 4*v - 17. Let m be (-4)/3 - 16/r. Is 0 != m? True Let j = -19 + 83. Let a = j + -42. Which is smaller: 24 or a? a Let x(j) = 18*j - 1. Let i be x(-1). Let k = 4 + -25. Which is bigger: k or i? i Let n be (15/(-10))/(45/(-6)). Let t(i) = 5 + i**2 + i**3 - 2*i**3 - 4 - 2*i**2. Let h be t(-1). Is h <= n? False Let r = -1188 + 53462/45. Is 1 greater than r? True Let m = -4 + 4. Suppose 164 = 2*d - 4*d. Let i = -165/2 - d. Is m > i? True Let n = -28 - -32. Let i = n - 3.8. Do i and 4 have different values? True Let d(f) = -10*f**2 - f - 3. Let q(y) = -6*y**2 - 2. Let z(s) = -4*d(s) + 7*q(s). Let l be 2*1/(2 + 0). Let h be z(l). Which is bigger: 6/23 or h? 6/23 Let v = -7.62 - -0.12. Let p = 5 + v. Let d = 1.5 + p. Is -2 <= d? True Suppose -5*f - 125 = -135. Let b be (f + 2/1 - 4) + -110. Is -111 bigger than b? False Suppose 10*a + 442 = -1128. Which is smaller: a or -158? -158 Let g = -302 - -301.47. Which is smaller: -0.03 or g? g Let v be -2 + 12 + (-2550)/270. Is 1 >= v? True Let n be (-36)/(-66) - 2106/4224. Which is greater: n or 1? 1 Let a = 77 + -77.85. Let j = 0.88 + a. Is 0.1 at most j? False Let r = -403/2 + 202. Which is greater: 1 or r? 1 Suppose -18 = 3*p + 2*c, 4*c = -0*p + 5*p + 30. Let n = p + 9. Suppose 2*r = 2 + 4. Is r < n? False Let y = -17.37 - 40.63. Is 1/2 less than y? False Let g = -47.5 + 49.5. Is g >= 0.066? True Let j = -6 + 5. Let d be -2 + (j - (-46)/14). Let w = 8/21 + d. Is w at most 1? True Let u = 48045310/208117 - 2/29731. Let r(m) = -78*m - 4. Let z be r(-3). Let i = z - u. Do 0 and i have the same value? False Let s(n) = 2*n**2 + 10*n - 30. Let a be s(3). Is 31 not equal to a? True Suppose -12*k + 5*k - 28 = 0. Let h be (7/(-1) - k)*6/21. Which is greater: h or 0.1? 0.1 Let b(x) = x + 1. Let z(c) = -c - 15. Let g(j) = -2*b(j) - z(j). Let q be g(6). Is 8 less than q? False Let d be (116/(-40))/(2*2/(-10)). Which is bigger: 0.3 or d? d Suppose 2*a = -2*u + 394, -3*u - 2*a + 257 + 331 = 0. Which is smaller: u or 195? u Let b be 1 - ((1 - -1) + -3). Suppose 3*k = 2*k + b*z - 47, 3*k = -4*z - 131. Is -46 at least as big as k? False Let k = -1969 + 1973. Let m = 749 - 3723/5. Which is smaller: k or m? k Let h(q) = q**3 - q**2 - 13*q + 1. Let f be h(4). Let x = 4516/7 - 648. Is x at least f? True Suppose -2*q - 1 = 5*o, -3*o - 7 = 2*q - 4*q. Let z be (q/(-5))/((-28)/(-20)). Let h = 40 - 41. Is z greater than h? True Let s(k) = -k**2 + 1. Let f(j) = j**2 + j. Let t(z) = -2*f(z) - s(z). Let y be t(-1). Let x = -2 - -2. Does x = y? True Let c be (6/8*6)/((-18)/24). Let r be 25 + ((-1)/(-1))/(-1). Let k be 8/r*c/8. Which is bigger: 0 or k? 0 Let w = -4 - -5. Let r be w + 0 - (-15)/(-21). Let f be (7 - 6) + -1*1. Which is bigger: f or r? r Let u be (-3)/12 + (-14)/8 + 6. Suppose 0 = 2*x + 4*p + 56, -7*x + u*x - 99 = p. Which is greater: -33 or x? -33 Let l = 41 + -28. Let y = l - 8. Suppose 5*s = -2*k - 19, y*k = -0*k + 4*s + 35. Is 5 greater than k? True Let w be ((-1)/125)/((-24)/15 - -1). Is w > 0? True Suppose 2*p - 64 = -0*p. Suppose 4*b - p = 8*b. Let f be (b/5)/(11/(-55)). Is f > 8? False Suppose 23 = -3*u - 73. Let j(m) = -33*m**2 - 5*m + 6. Let r be j(1). Is r > u? False Let q = -1342/19 - -11688/95. Is q != -1? True Let g = 0.069 + 27.931. Let p = g + -40. Let l = p + 11. Which is smaller: -7/6 or l? -7/6 Let p = -4 - 5.9. Let w = p + -1.1. Let v = -11 - w. Do v and 1 have different values? True Let p be 1140/4 - (-1 - 2). Let s = p + -2301/8. Which is smaller: s or -1? -1 Let b(u) = -70*u**2 + u + 3. Let m be b(-3). Let q = m + 5031/8. Is q smaller than -2? False Let r(q) = -5*q**2 + 16*q + 3. Let j = -8 - -4. Let v(p) = 3*p**2 - 8*p - 2. Let f(u) = j*r(u) - 7*v(u). Let o be f(-7). Is o at most 9? True Let f = -0.04 + 0.04. Let z be (-1)/(-3) + 141/(-18). Let n = 7 + z. Is f not equal to n? True Let r = 0.1013 - -1.1087. Is -4 greater than r? False Suppose 0 = -5*v + 3*x - 25, 3*v - 8*x + 5*x = -21. Let k be v/8 - 5/(-4). Suppose p = -3*l + 13 - 10, 2*p - 2*l - 6 = 0. Which is bigger: p or k? p Let a = 33 - 44.6. Let w = -12 - a. Is -3 less than w? True Let x = 1301/21 - 471/7. Which is smaller: x or -8? -8 Let c = 34/3 + -11. Let d = 1 + -3. Let s = d + 2. Is s greater than c? False Suppose -4*x + x - 57 = 0. Let f(b) = b**2 - 23*b - 392. Let d be f(-11). Which is bigger: x or d? d Let u be (-28)/(-98) - 330/28. Let v be 1 - 8/(-3 + 1). Suppose -r = -g + 13, v*r + 9*g = 4*g - 55. Which is smaller: u or r? r Suppose 5*w - 8 = -h, h - 3*w = -2*h + 24. Suppose -5*n - h = 7. Which is greater: n or -8? n Suppose -9*g - 6 = -10*g. Let t be g/42 - 6/(-7) - -2. Suppose -2*s + 4 + 0 = 0. Which is smaller: t or s? s Let n = -21032/57 - -369. Which is smaller: 0.5 or n? n Let o be 55/66*(-172)/20. Which is bigger: -7 or o? -7 Let k = -1.76 - -2.1. Let l = k + -0.04. Let c = 74.1 - 74. Which is greater: c or l? l Let j be (-20)/100 + 1086/(-20). Is -55 less than or equal to j? True Suppose 18*y - 5*y + 1222 = 0. Is -95 not equal to y? True Suppose -4002 = 46*a - 23*a. Is -345/2 < a? False Suppose 0 = -2*s - 6, 9*a - 8*a + 4*s = -11. Which is smaller: a or 1/116? 1/116 Let m be 6/(4/40*1). Suppose 9*f + m = 5*f. Which is bigger: f or -14? -14 Let f be (-42)/4*(-26)/195. Are 7 and f nonequal? True Let s = -2.8 + -0.2. Let q = s + 3.2. Let k = -15/124 + -143/868. Is q smaller than k? False Let x = 8053 + -72335/9. Let n = 16 - x. Let l = -32 - -32. Which is bigger: l or n? n Let p be 1/(-7 + 5 - (-21)/9). Let n = 8 - 5. Suppose 0*c - n*c = -12. Which is smaller: c or p? p Let c(q) = -q**3 - 5*q**2 + q + 10. Let a be c(-5). Let i be (a - 7/(-35))/((-1)/(-5)). Which is greater: i or 23? i Let t = 4099/714 - 98/17. Let x be (-1)/((-77)/7) + (1 - (-12)/(-11)). Is t >= x? False Suppose 0 = -o - 0*o + 76. Suppose -o = -2*v - 34. Is v at least 20? True Let d be (-4)/810*(13 + 235/(-20)). Is d at least 1? False Let g(a) = 21*a - 126. Let z be g(6). Which is greater: -2/33 or z? z Let r = -727.4 + -202.6. Is r less than or equal to -2? True Suppose l - k + 3*k - 1 = 0, 2*k = 0. Is l <= 387? True Let k(c) = c**3 - 8*c**2 + 9*c - 6. Let s be k(8). Let w = s + -65. Is w at most -1/44? False Suppose -4*k - k + 4*l + 21 = 0, 4*l + 14 = -2*k. Let d be k/(-1 - 3 - -6). Which is greater: d or 0? d Let n(x) = 12*x - 14. Let t be n(1). Is t > 10? False Let h = -0.38 - -1.31. Let b = 2.63 - 2.7. Let j = b - h. Which is greater: j or 0.4? 0.4 Let r = -1768801/402 - -4400. Which is smaller: r or 0? r Suppose 0 = -2*y + s, 0 = 2*y + 7*s - 3*s. Suppose -2*v - 5*f + f + 20 = y, 2*f - 10 = -4*v. Suppose 4*j + j + 35 = v. Which is smaller: j or -8? -8 Let q be (10/(-4) + 1)*2. Let i = 669/2 + -337. Is i >= q? True Let g(h) be the third derivative of 5*h**4/24 - 2*h**3 - 9*h**2. Let x be g(5). Do x and 13 have the same value? True Let f be 18 + -23 + (-15)/11. Is -5 equal to f? False Suppose 4*r + 553 = 169. Let n = 151 + r. Let m be (((-24)/n)/(-6))/2. Which is smaller: m or -1? -1 Suppose 27*w + 4758 = 627. Is -155 bigger than w? False Suppose 2*c + 1 = -6*o + 235, 4*o + 2*c - 158 = 0. Which is greater: o or 12? o Let p be 2306/(-30) + 4/20. Suppose 3*n = -v - 70, 0 = v - 4*n - n + 86. Let h = p - v. Which is greater: 8/5 or h? 8/5 Suppose 24 = 7*w - 11*w. Let f = w + 5. Let r = -5 + -3. Which is smaller: r or f? r Let p = 287 - 288. Which is bigger: -1/372 or p? -1/372 Suppose 13*x + 88 = 16*x - 5*s, 90 = 3*x - 3*s. Which is smaller: 28 or x? 28 Let r(k) = k**3 + 17*k**2 + 28*k - 20. Let w be r(-15). Let i be ((-6)/(-165))/((-22)/w). Is -1 at most i? True Let m = 191/3 + -
{ "pile_set_name": "DM Mathematics" }
-j**5/20 - j**4/6 + j**2 + 65*j. Calculate n(x). 2 Suppose 19 = -4*h + 3*r, 227*h - 223*h + 4*r + 40 = 0. Let w(o) = 13*o + 50. What is w(h)? -41 Let i(r) = -45*r**2 + 621159*r - 621175*r + 5 + 44*r**2. Calculate i(-13). 44 Let q(f) = -3*f**3 + 10*f**2 + 4*f + 8. Let v(m) = -4*m**3 + 16*m**2 + 5*m + 8. Let k(d) = 3*q(d) - 2*v(d). What is k(-2)? 4 Let a(c) = 2*c + 7. Suppose 0 = -4*p + 2*o + 46, -4*p + 3*o - 2*o = -45. Let m = p - 6. Let i(z) = -z - 1. Let d be i(m). Give a(d). -5 Let b be -32 + (-2)/(4 - 2). Suppose -130 = 6*o - o. Let f = o - b. Let l(z) = z**2 - 7*z - 5. What is l(f)? -5 Let a(p) = p + p**3 - 2*p**2 - 20 + 2*p + 43 - 3*p**2 - 24. What is a(6)? 53 Let y(r) = r**3 + 71*r**2 + 203*r - 83. Let u be y(-68). Let x(j) = j**2 + 11*j - 30. Give x(u). 30 Let a(g) = -2*g + 38. Let s = 22968 - 22951. What is a(s)? 4 Let c(s) be the second derivative of s**4/3 - 23*s**3/3 + 6*s**2 + 4*s - 17. Give c(11). -10 Let o(j) be the third derivative of j**7/1260 - j**5/120 + j**4/6 - j**3/3 + 3*j**2 - 23. Let x(m) be the second derivative of o(m). Determine x(-1). 1 Suppose -5632 = -90*m - 5542. Let a(s) = 4*s**2 - 55*s + 55. Determine a(m). 4 Let b(q) be the third derivative of 0 + 2/3*q**3 + 0*q + 1/24*q**4 + 1/60*q**5 + 249*q**2. Let y be (0 + (-2 - -2))/1. Calculate b(y). 4 Let y(d) be the third derivative of -d**5/60 + 4*d**4/3 + d**3/2 - 517*d**2. What is y(32)? 3 Let v(n) = n**3 + 5. Let c be v(0). Let m(r) = 98*r - 2. Let t(g) = 61*g - 1. Let p(l) = 5*m(l) - 8*t(l). Determine p(c). 8 Let k = 6 + -10. Let v(t) = -40*t**3 + 30*t**2 + 76*t - 131. Let w(d) = 7*d**3 - 5*d**2 - 13*d + 23. Let n(p) = 4*v(p) + 23*w(p). What is n(k)? 1 Let c(v) = 15*v**2 + 7*v - 5. Let l(f) = f**2 + f - 1. Let o(t) = c(t) - 6*l(t). Let a(h) = -14866*h + 312185. Let m be a(21). Determine o(m). 9 Let x = -1 - 6. Suppose -169*u + 165*u = -36. Let z(n) = n**2 - 3 + u - n**2 - 5*n**2 + 9*n + 6*n**2. Give z(x). -8 Let c(w) = 20*w**2 - 92 - 59*w**2 + 29*w**2 + 10 - 3*w + 11*w**2. Determine c(-8). 6 Let q(g) be the first derivative of g**5/10 - g**4/6 + g**3/3 - 39*g**2/2 + 24. Let o(h) be the second derivative of q(h). Determine o(2). 18 Let o(s) = -1 + 3*s**3 - 6*s**3 + 38*s**2 + 5*s**3 - 19*s + 18*s + 0. Determine o(-19). 18 Let r(g) be the second derivative of -3/40*g**5 + 0 - 1/360*g**6 + 25*g + 1/4*g**4 - g**3 + 0*g**2. Let b(a) be the second derivative of r(a). Calculate b(-9). 6 Let n(v) = 6*v**3 + 84*v**2 + 3*v - 70. Let z(t) = 3*t**3 + 43*t**2 - 33. Let c(a) = 3*n(a) - 5*z(a). Calculate c(-12). -9 Let f = 7370 + -7374. Let z(t) = 5*t + 1. Calculate z(f). -19 Let n(i) = 3*i**3 + 2*i**2 - 3*i + 2. Let o be (-1)/(16/36 - 21/27). Suppose -7*g + 4*g - k + o = 0, 5*k = 0. Calculate n(g). 4 Let d(l) = -3*l + 87. Let a(z) = -5*z + 203. Let k(w) = -4*a(w) + 10*d(w). Calculate k(6). -2 Let z(y) = -2*y**2 + 2 + 4*y**2 - 1 - y**3 + y. Let l = -177 + 181. Let o be (l/(-5))/(14/(-35)). Give z(o). 3 Let k(n) be the third derivative of n**5/30 + 2*n**4/3 + 4*n**3/3 + 1394*n**2. What is k(-8)? 8 Let f(p) = p**3 + p**2 + p + 1. Suppose -11 = 5*h - 6. Let i be (1 + h)/(3 - 2). Give f(i). 1 Let h(r) = -r - 19. Let o = -102 - -107. Suppose o*z + 196 = 131. Determine h(z). -6 Suppose 6*h - 12*h + 30 = 0. Suppose 0 = x + h - 11. Let c(b) = -2*b + 10. What is c(x)? -2 Let j(c) = -c**3 + 22*c**2 - 40*c + 43. Let o be j(20). Let f(z) = 8*z + 19 + 28 + 7*z - o - 12*z. Calculate f(2). 10 Suppose -h + 6 = -0. Let f(l) = -8 - 3786*l + 3779*l - l**3 + 229*l**2 - 222*l**2. Calculate f(h). -14 Let i(q) be the second derivative of q**3/2 - 3*q**2/2 + 13808*q - 2. Suppose 10 = g + 4*d, 3*g - 5*d - 11 = 2. Determine i(g). 15 Suppose 20 = -x - 34*j + 33*j, j = 2*x + 22. Let p(f) = f**3 + 13*f**2 - 19*f + 10. Calculate p(x). 80 Let w = -57 - -59. Let x(y) = 9*y - w*y - y - 19. Let f be x(4). Let o(k) = 3*k - 1. Calculate o(f). 14 Let w(y) = 66*y + 19. Let t(j) = 81*j + 19. Let b(o) = 5*t(o) - 6*w(o). Calculate b(2). -1 Let s(v) = 12*v**2 + 2*v + 1. Suppose 5*u - 149 = 4*p - 170, 0 = -3*u - 15. Determine s(p). 11 Let t(q) = 2*q + 12. Let g be (-20)/6 + 2 - (-22)/(-6). Let d(k) = 2. Let x(a) = g*d(a) + t(a). Determine x(3). 8 Let g(n) = -n**2 - 10*n - 17. Suppose 177 = -4*a - 5*h, 2*h = 4*a + 65 + 133. Let u be ((-3)/(-4))/(148/a - -3). What is g(u)? -8 Let h(u) = -41*u**3 + 40*u**2 + 164*u - 28. Let b(j) = 15*j**3 - 13*j**2 - 55*j + 9. Let t(a) = -11*b(a) - 4*h(a). Calculate t(-13). 0 Let q(h) = 2*h - 13. Let b(x) = -x + 7. Let w be (-14)/(-4) + -4 + 208/32. Let m = -14 - -25. Let i(n) = m*b(n) + w*q(n). What is i(-3)? -4 Let t(i) = -i**3 + 3*i**2 - i. Suppose -2*z = -5*r - 11, -5*r + r + 2*z = 8. Let a be (r + 1*99)/((-3)/(-2)). Let l = -62 + a. Determine t(l). 2 Let i(a) = 148*a**2 + 43*a - 11. Let s(p) = 79*p**2 + 22*p - 5. Let k(x) = 8*i(x) - 15*s(x). What is k(14)? -13 Suppose a + 3*m - 15 = 0, -a - 2*m = -2 - 8. Let i(j) = -9*j - 255. Let z(h) = 14*h + 398. Let s(p) = 11*i(p) + 7*z(p). Give s(a). -19 Let j(a) = -16*a**2 + a + 1. Suppose -373*i + 372*i + 12 = 0. Suppose 17 = 2*m + 3*t, 3*t = -4*m + 31 - i. What is j(m)? -14 Let v be ((-8)/(-6))/(6/81). Suppose -v = 3*d - 6*d. Let k(o) be the third derivative of o**6/120 - o**5/10 + o**4/8 - 4*o**3/3 - 9*o**2 - 6. What is k(d)? 10 Let j(z) = -12*z + 6*z - z**3 + 4*z**2 + 2*z**3 - 2*z**3 + 14*z + 6. Determine j(6). -18 Suppose t - 49 = -3*t - 5*p, -5*t + 15 = -3*p. Let v(s) = -3*s + 8. Let l(d) = 3*d - 7. Suppose -12*b = -21 - 3. Let o(m) = b*v(m) + 3*l(m). What is o(t)? 13 Let q be 4*(-8)/64 + 1 + (-52)/8. Let d(n) = -n**2 - 4*n + 2. What is d(q)? -10 Let f(s) be the first derivative of 10*s**3/3 - 7*s**2 - s - 4972. What is f(2)? 11 Let m be ((-2)/(-21) + (-2002)/(-5733))*(-45)/(-2). Let u(i) = i**2 - 15*i + 1. Determine u(m). -49 Let o(f) be the first derivative of 29*f**3/3 - 3*f**2/2 - f - 1576. Determine o(-1). 31 Let v be (-3)/(-6)*(56 - 0)*1. Let n(i) = i**2 - 27*i - 23. Let j be n(v). Let x(l) = -2*l - 1. What is x(j)? -11 Let u(p) = 3039*p + 3040*p + p**2 + 3034*p - 9108*p - 22. Calculate u(-12). 62 Let h(s) = -s**2 - 27*s + 8. Let v(y) = 5*y**2 + 147*y - 39. Let r(b) = 11*h(b) + 2*v(b). Determine r(-4). 6 Let w(a) = -19*a - 36. Let d(p) = 30*p + 54. Let s(r) = -5*d(r) - 8*w(r). Calculate s(-12). -6 Let a(b) be the first derivative of -b**3/3 - 7*b**2/2 - 3*b - 1284. Let r(s) = 2*s**3 + 3*s**2 + s. Let c be r(-2). Calculate a(c). 3 Let g be (-20)/8 + (2/4)/((-39)/429). Let u(v) = v**3 + 7*v**2 - 5*v + 26. What is u(g)? 2 Let t(m) = 8*m**2 - 2*m - 10. Let q be t(4). Let z = 113 - q. Let x(h) = 6*h - 17*h + 3 + 8*h. What is x(z)? -6 Let v(q) = -q + 7. Let u be (-4)/(-6) + ((-80)/(-15) - 3). Suppose 2*k = 8*j - u*j + 1, 0 = j - 3. Let o be -2 - (0 - k)*(1 - 0). Give v(o). 1 Suppose z + h - 4 = 0, 4*z + 4*h - 15 = -h. Suppose -5*f = z + 10. Let s(y) = 1 + 3738*y - 3 - 3744*y. What is s(f)? 16 Let r(b) = 2*b**2 + 38*b + 100. Let z be r(-16). Suppose -s = -t, -z*t - 66 = 5*s - 30. Let c(j) = j + 2. Determine c(t). -2 Suppose -5340*m = -5354*m. Let c(o) = o**3 + 3*o**2 + 2. Give c(m). 2 Suppose 3*t + 24 = -2*f + 6*t, 12 = 3*t. Let s(i) = 63*i - 170. Let r(p) = -35*p + 93. Let z(g) = 11*r(g) + 6*s(g). Give z(f). 45 Let o be 6*5*(-3)/(-90). Let k(d) = 6*d + 1 - 21*d + 8*d + d. Let c(h) = -5*h + 1. Let z(j) = -7*c(j) + 6*k(j). Calculate z(o). -2 Let z(p) = 3*p**3 + 19*p**2 - 47*p + 25. Let r(u) = 14*u**3 + 77*u**2 - 190*u + 103. Let w(q) = -2*r(q) + 9*z(q). Give w(14). 5 Suppose -4*c = 3*y + 41, -3*c + 28*y - 47 = 27*y. Let i(b) = -b**2 - 13*b - 2. Determine i(c). -16 Let b(d) be the second derivative of -2*d**5/5 + d**4/6 + d**3/2 - 2*d**2 + 4252*d. Give b(2). -54 Let c(d) = -11 - 693*d - 687*d + 1376*d. What is c(-21)? 73 Let z(y) = -7*y**2 - 9*y - 8. Let p(l) be the second derivative of 2*l**4/3 + 2*l**3 + 4*l**2 + 40*l. Let m(c) = 6*p(c) + 7*z(c). Determine m(7). 6 Let r(u) = u**2 + 9*u + 14. Let x = -55 - -54. Let m be x/((-13)/(-6) + -2). What is r(m)? -4 Let v(f) = 9*f + 27. Let l(i) = -6*i - 26. Let m(k) = 4*l(k) + 3*v(k). Give m(6). -5 Let o(c) = c**3 - 6*c**2 - 8. Let s(y) be the first derivative of y**3 + 4*y**2 + 3*y + 23. Let u(b) = b + 1. Let q be u(-4). Let i be s(q). What is o(i)? -8 Let w(l) be the third derivative of 5*l**4
{ "pile_set_name": "DM Mathematics" }
+ 2*c**4. -6*c**4 Expand -3*w**5 + 56*w**3 - 52*w**3 + 5*w**5 + (-2*w**3 + 2*w**3 - 2*w**3)*(-3*w - w**2 + 3*w) + w**3 - 6*w**5 - w**3. -2*w**5 + 4*w**3 Expand (-2*g**3 + g**3 + 3*g**3)*(4*g - 4*g + 2*g - 15*g + 18*g - 11*g + (0 + g + 0)*(0 + 1 + 1)). -8*g**4 Expand (-4*f + 2*f + 4*f)*(19*f + 1 - 12*f - 5*f). 4*f**2 + 2*f Expand (-1 - 15 + 0)*(-2*l - 3*l + 3*l). 32*l Expand 142*t**4 - 75*t**4 - 73*t**4 + (t**2 + t**2 - t**2)*(0*t + 0*t - 2*t**2). -8*t**4 Expand (3 - 2 + 1)*(3*x + 3*x - 3*x). 6*x Expand 0*j**2 + 0*j**2 + j**2 + (-5*j + 2*j + j)*(4 - 4 + 2*j) + 4 + j**2 - 4 - 2*j**2 - 5*j**2 + 0*j**2. -9*j**2 Expand (1 - 1 + g)*(-3 - 3 + 1)*(5*g - g - 3*g). -5*g**2 Expand (-2*i + i + 3*i + (-4*i + 3*i + 3*i)*(2 - 7 + 4) + 2*i + i - 4*i)*((5 - 3 - 1)*(-5 + 4 + 6) - 1 - 1 + 3). -6*i Expand (-2*h**3 + 5*h**3 - h**3)*((1 + 2 - 5)*(0 - 6 + 9) + 0 + 3 - 4 + 2 - 2 - 1 - 2 - 2 + 2 - 3 + 2 + 2 - 1 + 0 + 0 + (-2 + 0 + 3)*(-3 + 6 - 1)). -16*h**3 Expand (1 - 1 + 2*a + (3*a + 2*a - 6*a)*(1 - 2 - 4))*(1 - 2 + 3). 14*a Expand (-3*b + 5*b - 4*b + 2)*(-2*b**3 + 6*b - 6*b). 4*b**4 - 4*b**3 Expand h - 2*h + 3*h + (-4*h + 5*h + 0*h)*(-1 + 1 + 2) + 4*h - h - h - 20 - 2*h + 19 + 4*h. 8*h - 1 Expand (1 + 6 - 5 + 2*y - 2*y**2)*(-23*y + 712 - 712). 46*y**3 - 46*y**2 - 46*y Expand 0*i**5 - i**5 + 3*i**5 + (0*i**2 + 2*i**2 + 0*i**2)*(-2*i**3 + 0*i**3 + 3*i**3) + 1 + 3*i**5 - 1. 7*i**5 Expand (-2*p + 5*p - 4*p)*(-5*p**2 - p**3 + 5*p**2)*(0 + 7*p + 0). 7*p**5 Expand (-16*o**2 + 2*o**2 + 0*o**2)*(-3*o**2 + 0 + 0). 42*o**4 Expand (-2*v + 3 - 3)*(0*v - v + 2*v) - 4*v**2 - 6*v**2 + 2*v**2 - 5*v**2 + 7*v**2 + 2*v**2. -6*v**2 Expand 2*c**5 + 0*c**5 + 2*c**4 - 4*c**4 + (2*c - 2*c - 2*c**2)*(8*c**3 + 2*c**3 + 0*c**3). -18*c**5 - 2*c**4 Expand (0*d + d - 2*d)*(0*d + 3*d - d) + (d + 0*d - 2*d)*(0*d + 4*d - 2*d). -4*d**2 Expand (-4 + r + 4)*(-52*r + 4*r**2 - 47*r + 93*r + 2*r**3). 2*r**4 + 4*r**3 - 6*r**2 Expand (-3*u - u + 6*u)*(-3 + 4 + 1) + 0 + u + 0 - 237*u - 55*u - 19*u - 77*u. -383*u Expand q**5 + q**5 + 0*q**5 + (0 - 3*q**3 + 0)*(1 - 1 - q**2) + 2*q**2 - 2*q**2 - 2*q**5 - 2*q**5 + 2*q**5 - q**5. 2*q**5 Expand (-7 + 6 + 11)*(2*v - 5 + 5)*(3 - 2 + 1). 40*v Expand (0 + 0 + 2*w)*(-1 + 0 + 3 + (3 + 2 - 6)*(-1 - 3 + 5) + 1 - 13 - 2). -26*w Expand (-6 + 8 - 4)*(4 + b**4 - 4). -2*b**4 Expand 5*b + 5*b - 5*b + (0 - 2 + 0)*(-b - 2*b + b) - b + b + b + (-2 + 3 + 3)*(0*b - 4*b + 2*b). 2*b Expand (-1 + 5 - 3)*(-3*d**3 + d**3 + d**3)*(3*d**2 - 3*d**2 + 2*d**2). -2*d**5 Expand (0*a - a - a)*(0 - 11 - 18)*(-3 + 2*a + 3). 116*a**2 Expand 5 - 5 + d**5 + 0*d**5 - 2*d**5 + d**5 + (-2*d**4 - 2*d**4 + 2*d**4)*(1 - 1 + d) + 0 + 0 + d**5 + 3*d**5 + d**2 - d**2. 2*d**5 Expand (-2*g + 3*g + g)*(-3*g + 4*g - 2*g) + (-106*g + 17*g**2 + 106*g)*(-3 + 5 - 1). 15*g**2 Expand (-3*p**4 + 3*p**4 + 2*p**4)*(5*p + 5 - 5 + (-2*p - 3*p + 4*p)*(-2 + 4 - 4) + 4*p - 3*p + 0*p). 16*p**5 Expand (17 - 30 - 30)*(4*q - 2*q + 0*q). -86*q Expand (-6*g**3 + 2*g**3 + 3*g**3)*(-4 - 1 + 4) + 0*g**3 + 2*g**3 - g**3. 2*g**3 Expand (-4*z**2 + z**2 + 2*z**2)*(-1 + 2*z**3 + 1) - 268*z**3 + 21*z**5 + 268*z**3. 19*z**5 Expand s**2 + 3*s**2 - s**2 - 2*s**3 + (-s**2 - 2*s + 2*s + 2*s**2 + s**2 - 4*s**2 + (3*s + s - 2*s)*(1 - s - 1))*(4*s - 19 + 19). -18*s**3 + 3*s**2 Expand (m**4 - 3*m**4 + m**4 + (5*m**3 - 3*m**3 - 3*m**3)*(5*m - 2*m - 5*m) - 221 + 221 - 14*m**4)*(-2 + 0 + 1). 13*m**4 Expand (2*f + 3 - 3)*(3*f + 1 - 5*f - 2). -4*f**2 - 2*f Expand (2 + 1 - 2)*(z**5 + 1 - 2*z**5 + 1). -z**5 + 2 Expand f**4 + f**4 - 4*f**4 + (0*f**4 - 2*f**4 + 0*f**4)*(-7 + 18 + 18). -60*f**4 Expand -14*g**2 + 14*g**2 - 24*g**3 + (0*g + 0*g - g**2)*(3 + 2 - 3)*(3 - 3 - 2*g). -20*g**3 Expand (2*y + 8 - 8 - y**2)*(-3 + 2 - 2). 3*y**2 - 6*y Expand (-3*z + 3*z - 2*z + (z + 0*z - 2*z)*(-3 + 0 + 4) - 20*z - 24*z + 26*z)*(-2*z**4 + z**4 + 0*z**4). 21*z**5 Expand (-3*u + 4*u + u)*(4*u**2 - 4*u**2 + 4*u**2)*(-6 + 1 - 3). -64*u**3 Expand (-1 + 3 - 1 + 3 - 3 - 2 + (-1 - 3 + 5)*(-5 + 5 + 1) - 1 + 5 - 2 + 3 + 0 - 1)*(-1 + 1 + a). 4*a Expand (k**2 + 4 - 4)*(4*k + 0*k - 3*k)*(-2*k + 5 - 5). -2*k**4 Expand -v**2 - v**2 - 3*v**2 - 2*v**2 + 0*v**2 + v**2 + (2*v + 2*v - 2*v)*(-4*v + v + 2*v) + 2 - 2 - 2*v**2. -10*v**2 Expand (-1 + 0 - 1)*(0*b - b**2 + 0*b)*(3 + 2 + 1). 12*b**2 Expand (-1 - 1 - 2*o + 3)*(4*o + 0*o + 0*o). -8*o**2 + 4*o Expand (n + 1 - 1 - n - 2*n + n - 2*n + 0*n + n + (0 + 3 - 4)*(-n + 3*n - n) - 3*n - n + 2*n + 3*n + n - 6*n + n - 2 + 2)*(-n + 0 + 0). 6*n**2 Expand (4*x**2 - 2*x**2 + 0*x**2)*(0*x**2 - 3*x**2 + 4*x**2) + 4*x**4 + 0*x**4 - 2*x**4 - 3*x**4 + 0*x**4 + 5*x**4 + 7*x**4 - 12*x + 12*x. 13*x**4 Expand (k + 0*k - 4*k)*(1 - 3 - 1)*(-2*k + 0*k + 4*k). 18*k**2 Expand (-y + 0 - 2 + 3)*(18 - 16 + 33). -35*y + 35 Expand (3*w**3 - 16*w**2 - 21*w**2 - 2*w**3)*(-4*w + 6*w + w). 3*w**4 - 111*w**3 Expand (-2*z + 2*z - z**2)*(35*z**3 - 3046*z**2 + 3046*z**2). -35*z**5 Expand (-4 + 3 + 2)*(13 - 4 + 1)*(4 + 1 - 3)*(-2*s + 2*s - s). -20*s Expand 2 - 4*h + 2*h + 3*h + 1 - h - 1 + 4*h - 3*h + h + 0*h + 2*h - h + 3*h + 0*h - h + (1 + 2 - 4)*(-5*h + 4*h - h). 7*h + 2 Expand (51 - 45 - 26)*(-y**4 + y**4 - 2*y**4). 40*y**4 Expand ((2*j**2 + 5*j - 5*j)*(-2 + 2 + j) - 3 + 3 + j**3)*(3*j**2 + 0*j**2 - 4*j**2). -3*j**5 Expand (11*m**4 - 11*m**2 + 11*m**2)*(-4 + 4 + 1) + (-5*m**3 + 2*m**3 + 0*m**3)*(-2*m + 2*m - 2*m). 17*m**4 Expand (2*q - q - 2*q)*(-9 + 0 - 2)*(3 + 1 - 3). 11*q Expand (1 - 1 + 2)*(2*i**2 - 2*i**2 - i**2) + (1 - 1 + i)*(-3*i + 0*i + i) + (-1 - 4 + 4)*(0*i**2 - i**2 + 2*i**2). -5*i**2 Expand -h + h - h**4 + 13*h**2 + 6*h**4 - 13*h**2 + 2*h**4 + 2*h**4 - 2*h**4 + (2*h + 3*h - 4*h)*(-2*h**3 + h - h) - 5*h**4 + h**4 + 3*h**4 - 2*h**4 + 0 + 0. 2*h**4 Expand (3*i**2 - 3*i**2 + i**3)*(3 - 3 - 2*i) + (-3*i + i**3 + 3*i)*(i + 2 - 2) - 2*i**4 + 4*i - 4*i + i**4 - i**4 - 2*i**4. -5*i**4 Expand (-2 - s + 2)*(-3*s**4 + 3*s**4 - 2 - s**4) + 4*s**5 - 6*s**5 + 3*s**5. 2*s**5 + 2*s Expand (v**2 - v**2 + 2*v**2)*(-2 + 3 - 2 + 1 + 5 - 4 + (1 + 0 + 1)*(-1 - 2 + 5) - 2 + 1 + 2). 12*v**2 Expand (0 - 3 + 2)*(-3*w + 4 - 4) + (-2*w - 2*w + 2*w)*(4 - 1 + 2) + w + 2*w - w. -5*w Expand 2*h**4 - h**4 + h**4 + (3 - h**3 - 3)*(-11*h - 6*h - 5*h). 24*h**4 Expand -2*g**2 - g**5 + 2*g**2 + (1 + 1 - 4)*(-4*g**4 + 4*g**4 + 2*g**5) + 0*g**5 - g**5 - g**5 + 0*g**5 + 4*g**5 + 0*g**5. -3*g**5 Expand (-16 + 10*t + 16)*(-3 - 4 - 7 + 13). -10*t Expand (-3*y + 4*y**4 + 3*y)*(-7*y + y + 0*y). -24*y**5 Expand 5*d**3 + d**3 - 3*d**3 + (-2*d + 1 - 1)*(0*d + 0*d - d**2). 5*d**3 Expand (1 - 1 - 2*p**2)*(1 - 1 + 2 + 1 + 2 - 1 + (2 - 2 - 2)*(-4 + 1 + 5) + 2 + 9 + 2). -26*p**2 Expand (-3*w**2 + w**2 + w**2)*(-2*w - w + w)*(2*w - 5*w - w). -8*w**4 Expand (-4 - 1 + 1)*(-2*l + 0*l - 3*l). 20*l Expand (-3*m - 3*m + 4*m)*(-2*m**2 + 2*m**2 - 23*m**2 - 2*m**2 + 4*m**2 - m**2 + 2 - m**2 - 2 + (-m - 2*m**2 + m)*(-2 + 3 + 1)). 54*m**3 Expand (0 + 2*o + 0)*(-o**2 + 0*o**2 - o**2)*(-1 - 2*o + 2 + 0). 8*o**4 - 4*o**3 Expand 3*m**5 - 3*m**4 + 3*m**4 + 4*m**5 + 0*m**5 - 2*m**5 + (3*m**4 + 2*m - 2*m)*(-4*m - m + 2*m) + 0*m**5 + 2*m**5 - 3*m**5. -5*m**5 Expand -2*y**4 + 2*y**2 - 2*y**2 + (-4 + 4 + y**4)*(0 + 0 - 2) - 6*y - 4*y**2 - y**4 + 4*y**2. -5*y**4 - 6*y Expand (s**2 + 3*s**2 - 3*s**2 + (2 + 2*s - 2)*(-2*s + s + 3*s))*(-s + 2*s + 0*s). 5*s**3 Expand (-v - 3*v - v)*(-3 - 2 + 7 + (-4 + 0 + 3)*(2 - 1 + 0) - 4 + 2 + 3 - 6 + 2 + 3). -5*v Expand (z - 3*z + 0*z + (2*z + z - 2*z)*(0 - 4 + 2) + 0 + 0 - z + z + 4 - 4)*(2 + 0 - 1). -4*z Expand (0*t - 3*t - t)*(-3*t - t + 3*t) + t**2 - 3 + 0*t**2 + 0. 5*t**2 - 3 Expand (2 - b - 2)*(2*b**3 - 6*b**3 + 2*b**3) + 2*b**4 - b + b + 6*b**4 - 4*b**4 - 14*b**4 + (-5 + 4 - 1)*(3 - 2*b**4 - 3). -4*b**4 Expand (1 + 1 + 0)*(4*z - 3*z + z). 4*z Expand (3*f**2 - f**2 + 30 - 126)*(2*f + 2*f - 3*f). 2*f**3 - 96*f Expand (-u**3 - u**2 + 3*u**2 - 5*u**3)*(u**2 + 6*u**2 - 5*u**2). -12*u**5 + 4*u**4 Expand (-4*d**3 + 3*d**3 - 5*d**3)*(d**2 - 2*d**2 - 4*d**2). 30*d**5 Expand 18 - 18 + 3*g + (3 - 2 + 1)*(-5*g + g + 3*g). g Expand 3*d**4 + d + 0*d - 4*d**4 - 43*d**4 - 6 + 6 + (0 + 0 + d**4)*(3 - 2 + 1). -42*d**4 + d Expand (2*a**3 + 1236*a**2 + 14 - 1236*a**2)*(-4*a + a + 2*a). -2*a**4 - 14*a Expand 16*i**3 + 47*i - 40*i - 4 + i**2 - 15*i**3 + 1 - 1 + i**3 + (-4*i**2 + 3*i**2 - i**2)*(6*i - 3*i - 2*i) +
{ "pile_set_name": "DM Mathematics" }
47? 5511 What is the remainder when 147484 is divided by 2168? 60 What is the remainder when 300482 is divided by 60? 2 Calculate the remainder when 27605 is divided by 1092. 305 Calculate the remainder when 497645 is divided by 14. 1 Calculate the remainder when 1608615 is divided by 94. 87 What is the remainder when 2291732 is divided by 2249? 1 What is the remainder when 96963706 is divided by 17? 7 What is the remainder when 17052965 is divided by 246? 245 What is the remainder when 1091463 is divided by 272855? 43 What is the remainder when 601139 is divided by 190? 169 What is the remainder when 51080 is divided by 12752? 72 Calculate the remainder when 22363 is divided by 11177. 9 What is the remainder when 561107 is divided by 140162? 459 Calculate the remainder when 1490 is divided by 87. 11 Calculate the remainder when 169065431 is divided by 5. 1 Calculate the remainder when 43564 is divided by 5751. 3307 What is the remainder when 52041 is divided by 301? 269 What is the remainder when 546381 is divided by 79? 17 What is the remainder when 889430 is divided by 1791? 1094 What is the remainder when 204545 is divided by 2558? 2463 Calculate the remainder when 5624943 is divided by 21. 9 What is the remainder when 266195100 is divided by 43? 31 What is the remainder when 161113 is divided by 20072? 537 What is the remainder when 3836658 is divided by 5? 3 Calculate the remainder when 4703458 is divided by 87. 64 Calculate the remainder when 400912 is divided by 7860. 52 Calculate the remainder when 482184 is divided by 744. 72 Calculate the remainder when 1477407 is divided by 2049. 78 Calculate the remainder when 997071341 is divided by 4178. 4175 Calculate the remainder when 367721 is divided by 924. 893 What is the remainder when 365385 is divided by 20? 5 Calculate the remainder when 91781 is divided by 91485. 296 Calculate the remainder when 12698261 is divided by 5045. 5041 Calculate the remainder when 418097442 is divided by 386. 384 What is the remainder when 180910 is divided by 1145? 0 What is the remainder when 237886422 is divided by 75? 72 Calculate the remainder when 28701 is divided by 70. 1 What is the remainder when 403127 is divided by 26874? 17 What is the remainder when 29084 is divided by 6918? 1412 Calculate the remainder when 8773629 is divided by 128. 125 Calculate the remainder when 5791019 is divided by 59092. 3 What is the remainder when 3070229 is divided by 40? 29 What is the remainder when 86930 is divided by 3086? 522 What is the remainder when 5296287 is divided by 1124? 1123 What is the remainder when 1540725 is divided by 10202? 223 What is the remainder when 34874874 is divided by 717? 711 Calculate the remainder when 24468 is divided by 2126. 1082 Calculate the remainder when 32070388 is divided by 314. 312 Calculate the remainder when 486398 is divided by 81054. 74 Calculate the remainder when 621635 is divided by 1986. 17 What is the remainder when 185084 is divided by 24530? 13374 What is the remainder when 18670397 is divided by 320? 317 Calculate the remainder when 956990 is divided by 16217. 187 What is the remainder when 147304812 is divided by 1571? 1568 What is the remainder when 886573 is divided by 104? 77 Calculate the remainder when 23365138 is divided by 22. 16 What is the remainder when 69858909 is divided by 2208? 2205 What is the remainder when 367533 is divided by 367532? 1 What is the remainder when 405691 is divided by 6149? 6006 Calculate the remainder when 6122036 is divided by 529. 448 What is the remainder when 54761 is divided by 481? 408 What is the remainder when 482438 is divided by 201? 38 What is the remainder when 42511 is divided by 171? 103 Calculate the remainder when 70020411 is divided by 2156. 2155 Calculate the remainder when 4669783 is divided by 333550. 83 What is the remainder when 1429918 is divided by 142984? 78 Calculate the remainder when 58956428 is divided by 2841. 2837 What is the remainder when 6357809 is divided by 338? 29 Calculate the remainder when 1444144148 is divided by 9. 8 Calculate the remainder when 31929855 is divided by 2928. 15 Calculate the remainder when 1296071 is divided by 7406. 21 Calculate the remainder when 13412425 is divided by 219. 208 Calculate the remainder when 2021234 is divided by 109. 47 Calculate the remainder when 413098 is divided by 471. 31 Calculate the remainder when 1714835 is divided by 649. 177 Calculate the remainder when 2404239 is divided by 3176. 7 What is the remainder when 9204724 is divided by 187850? 74 Calculate the remainder when 11340 is divided by 5083. 1174 Calculate the remainder when 147577 is divided by 12823. 6524 What is the remainder when 2741561 is divided by 683? 682 Calculate the remainder when 3195933 is divided by 2624. 2525 What is the remainder when 660433 is divided by 67? 14 What is the remainder when 133949 is divided by 732? 725 What is the remainder when 1021730 is divided by 11633? 9659 What is the remainder when 8759757 is divided by 86? 55 What is the remainder when 55977060 is divided by 1655? 1650 Calculate the remainder when 430399 is divided by 35. 4 Calculate the remainder when 283202 is divided by 17. 16 What is the remainder when 14697342 is divided by 1717? 1539 Calculate the remainder when 2325058 is divided by 465007. 23 Calculate the remainder when 963388272 is divided by 17. 6 What is the remainder when 27679768 is divided by 643714? 66 What is the remainder when 456436 is divided by 156? 136 Calculate the remainder when 31578 is divided by 284. 54 What is the remainder when 3508686 is divided by 590? 546 Calculate the remainder when 3593406 is divided by 195. 141 Calculate the remainder when 2539751 is divided by 1275. 1226 What is the remainder when 162516 is divided by 1661? 1399 Calculate the remainder when 16595758 is divided by 1852. 1838 Calculate the remainder when 299658 is divided by 24855. 1398 What is the remainder when 97543 is divided by 5735? 48 Calculate the remainder when 224680 is divided by 58. 46 What is the remainder when 128208254 is divided by 296? 294 Calculate the remainder when 26026810 is divided by 396. 106 Calculate the remainder when 2199948 is divided by 543. 255 Calculate the remainder when 226860 is divided by 4123. 95 What is the remainder when 4604141 is divided by 589? 517 Calculate the remainder when 22861655 is divided by 24. 23 What is the remainder when 477580 is divided by 59695? 20 Calculate the remainder when 8583828 is divided by 160. 148 Calculate the remainder when 1202247 is divided by 18496. 7 Calculate the remainder when 41246467 is divided by 2058. 31 Calculate the remainder when 7231214 is divided by 31. 30 Calculate the remainder when 8463348 is divided by 29. 17 What is the remainder when 4324377 is divided by 291? 117 What is the remainder when 173330 is divided by 5241? 377 Calculate the remainder when 66876879 is divided by 63. 48 What is the remainder when 683281 is divided by 3092? 3041 What is the remainder when 11357 is divided by 80? 77 Calculate the remainder when 356929864 is divided by 5927. 5924 What is the remainder when 191181 is divided by 5968? 205 What is the remainder when 60152727 is divided by 92? 91 What is the remainder when 2351610 is divided by 3062? 3056 What is the remainder when 265263 is divided by 88399? 66 What is the remainder when 32912648 is divided by 32? 8 Calculate the remainder when 1112442 is divided by 74158. 72 What is the remainder when 16928564 is divided by 846428? 4 Calculate the remainder when 48181752 is divided by 802. 800 Calculate the remainder when 202462 is divided by 48606. 8038 Calculate the remainder when 4294495 is divided by 2348. 3 Calculate the remainder when 407080 is divided by 141. 13 What is the remainder when 3533957 is divided by 6? 5 Calculate the remainder when 37263 is divided by 36099. 1164 What is the remainder when 68709 is divided by 781? 762 What is the remainder when 155899 is divided by 77946? 7 What is the remainder when 108615 is divided by 8952? 1191 Calculate the remainder when 66113 is divided by 21. 5 What is the remainder when 927536 is divided by 4938? 4130 Calculate the remainder when 351578 is divided by 87681. 854 Calculate th
{ "pile_set_name": "DM Mathematics" }
8868? 2, 19717 What are the prime factors of 5770783? 61, 94603 What are the prime factors of 801431? 17, 47143 What are the prime factors of 10529768? 2, 23, 89, 643 List the prime factors of 2170604. 2, 79, 6869 List the prime factors of 14962744. 2, 1870343 What are the prime factors of 624713? 127, 4919 What are the prime factors of 1840556? 2, 17, 27067 List the prime factors of 113472. 2, 3, 197 What are the prime factors of 6775467? 3, 43, 53, 991 List the prime factors of 5390. 2, 5, 7, 11 What are the prime factors of 109188? 2, 3, 337 What are the prime factors of 2298767? 71, 32377 List the prime factors of 976727. 976727 What are the prime factors of 192142? 2, 23, 4177 List the prime factors of 1584849. 3, 7, 163, 463 List the prime factors of 300643. 7, 29, 1481 List the prime factors of 169927. 251, 677 What are the prime factors of 5588607? 3, 1862869 What are the prime factors of 140093? 23, 6091 What are the prime factors of 1460459? 7, 11, 13, 1459 What are the prime factors of 1080469? 13, 17, 4889 List the prime factors of 5381682. 2, 3, 896947 List the prime factors of 6848939. 6848939 List the prime factors of 2564606. 2, 11, 43, 2711 List the prime factors of 237722. 2, 118861 What are the prime factors of 425157? 3, 141719 List the prime factors of 225891. 3, 19, 1321 What are the prime factors of 6049327? 6049327 What are the prime factors of 2653122? 2, 3, 17, 19, 37 List the prime factors of 2996748. 2, 3, 83243 List the prime factors of 1527686. 2, 763843 List the prime factors of 28346130. 2, 3, 5, 314957 What are the prime factors of 1030592? 2, 16103 What are the prime factors of 1437525? 3, 5, 6389 What are the prime factors of 2629258? 2, 19, 69191 List the prime factors of 3194902. 2, 1597451 List the prime factors of 5771486. 2, 7, 412249 What are the prime factors of 545091? 3, 19, 73, 131 List the prime factors of 39669. 3, 7, 1889 What are the prime factors of 1402472? 2, 175309 List the prime factors of 563139. 3, 20857 What are the prime factors of 1332409? 13, 17, 6029 List the prime factors of 841700. 2, 5, 19, 443 List the prime factors of 51091. 19, 2689 What are the prime factors of 2518877? 2518877 List the prime factors of 1325494. 2, 47, 59, 239 What are the prime factors of 331239? 3, 41, 2693 List the prime factors of 9864463. 7, 1409209 What are the prime factors of 4195312? 2, 11, 197 What are the prime factors of 5183396? 2, 1295849 What are the prime factors of 3332075? 5, 133283 What are the prime factors of 115945? 5, 23189 List the prime factors of 15515853. 3, 5171951 What are the prime factors of 282842? 2, 7, 89, 227 What are the prime factors of 4681825? 5, 187273 List the prime factors of 5117522. 2, 503, 5087 List the prime factors of 2450301. 3, 7, 116681 List the prime factors of 390723. 3, 130241 What are the prime factors of 15454588? 2, 53, 269, 271 List the prime factors of 127374. 2, 3, 13, 23, 71 List the prime factors of 4333325. 5, 29, 43, 139 What are the prime factors of 31048656? 2, 3, 173, 3739 List the prime factors of 883579. 883579 What are the prime factors of 1901666? 2, 13, 73141 List the prime factors of 1044728. 2, 43, 3037 List the prime factors of 8229852. 2, 3, 29, 7883 List the prime factors of 15832881. 3, 586403 List the prime factors of 178028. 2, 44507 What are the prime factors of 24903473? 7, 3557639 List the prime factors of 6796696. 2, 849587 List the prime factors of 8612175. 3, 5, 11, 13, 73 What are the prime factors of 11285263? 11, 17, 29, 2081 What are the prime factors of 6662076? 2, 3, 43, 12911 List the prime factors of 10518144. 2, 3, 7, 13, 43 List the prime factors of 1609332. 2, 3, 41, 3271 What are the prime factors of 2851779? 3, 7, 135799 List the prime factors of 648905. 5, 233, 557 List the prime factors of 942540. 2, 3, 5, 23, 683 What are the prime factors of 302153? 53, 5701 List the prime factors of 8402549. 2381, 3529 List the prime factors of 314781. 3, 317, 331 List the prime factors of 10927281. 3, 3642427 What are the prime factors of 85573? 83, 1031 List the prime factors of 356788. 2, 191, 467 What are the prime factors of 103311? 3, 13, 883 What are the prime factors of 2405460? 2, 3, 5, 47, 853 What are the prime factors of 5086309? 5086309 List the prime factors of 1010789. 13, 5981 What are the prime factors of 646535? 5, 191, 677 What are the prime factors of 18435833? 13, 19, 101, 739 List the prime factors of 890587. 19, 2467 List the prime factors of 3701505. 3, 5, 23, 10729 What are the prime factors of 16918045? 5, 61, 55469 What are the prime factors of 998796? 2, 3, 83233 What are the prime factors of 667266? 2, 3, 111211 List the prime factors of 431514. 2, 3, 61, 131 List the prime factors of 3347794. 2, 1673897 List the prime factors of 7860248. 2, 11, 179, 499 What are the prime factors of 12010842? 2, 3, 151, 491 List the prime factors of 223294. 2, 97, 1151 List the prime factors of 2510874. 2, 3, 139493 What are the prime factors of 226763? 17, 13339 What are the prime factors of 3985126? 2, 1992563 List the prime factors of 18654577. 739, 25243 What are the prime factors of 162468? 2, 3, 4513 What are the prime factors of 651239? 651239 What are the prime factors of 671538? 2, 3, 7, 59, 271 What are the prime factors of 1603821? 3, 534607 What are the prime factors of 23518236? 2, 3, 7, 23, 37, 47 List the prime factors of 51036. 2, 3, 4253 What are the prime factors of 2295187? 17, 79, 1709 What are the prime factors of 2500? 2, 5 What are the prime factors of 5287976? 2, 23, 29, 991 List the prime factors of 552742. 2, 276371 What are the prime factors of 1636844? 2, 11, 37201 List the prime factors of 10899526. 2, 11, 495433 What are the prime factors of 19268497? 17, 61, 1093 What are the prime factors of 290455? 5, 11, 5281 List the prime factors of 2332217. 83, 28099 List the prime factors of 10319472. 2, 3, 71663 List the prime factors of 1538. 2, 769 List the prime factors of 522063. 3, 19, 43, 71 List the prime factors of 951350. 2, 5, 53, 359 List the prime factors of 34718. 2, 17359 What are the prime factors of 572135? 5, 17, 53, 127 List the prime factors of 1520993. 401, 3793 What are the prime factors of 2651675? 5, 13, 41, 199 What are the prime factors of 2313347? 2313347 What are the prime factors of 421732? 2, 59, 1787 What are the prime factors of 956911? 109, 8779 What are the prime factors of 574422? 2, 3, 95737 List the prime factors of 31566242. 2, 15783121 What are the prime factors of 3093698? 2, 521, 2969 List the prime factors of 5739820. 2, 5, 193, 1487 What are the prime factors of 8946834? 2, 3, 13, 19, 6037 What are the prime factors of 8170052? 2, 11, 185683 List the prime factors of 1538717. 103, 14939 What are the prime factors of 1325220? 2, 3, 5, 13, 1699 List the prime factors of 176910. 2, 3, 5, 5897 List the prime factors of 14268232. 2, 11, 29, 5591 What are the prime factors of 698261? 698261 List the prime factors of 5692727. 41, 43, 3229 List the prime factors of 388461. 3, 31, 4177 List the prime factors of 98748. 2, 3, 13, 211 What are the prime factors of 16116144? 2, 3, 11, 131, 233 What are the prime factors of 520550? 2, 5, 29, 359 List the prime factors of 20285881. 7, 11, 109, 2417 List the prime factors of 13355147. 13, 1027319 List the prime factors of 419521. 443, 947 What are the prime factors of 439451? 19, 101, 229 What are the prime factors of 775777? 775777 What are the prime factors of 5860838? 2, 2930419 List the prime factors of 1475789. 7, 210827 What are the prime factors of 417303? 3, 199, 233 What are the prime factors of 41934? 2, 3, 29, 241 What are the prime factors of 1318081? 233, 5657 List the prime factors of 3505301. 3505301 List the prime factors of 9575. 5, 383 List the prime factors of 17472253. 2423, 7211 What are the prime factors of 18746557? 29, 646433 What are the prime factors of 21436722? 2, 3, 1190929 What are the prime factors of 13173696? 2, 3, 22871 List the prime factors of 1931361. 3, 73, 8819 What are the prime factors of 384639? 3, 128213 What are the prime factors of 195798? 2, 3, 32633 List the prime factors of 303298. 2, 139, 1091 List the prime factors of 2113884. 2, 3, 23, 37 What are the prime fac
{ "pile_set_name": "DM Mathematics" }
-13 Calculate (1 - -8) + (91 - 99) + -8. -7 Evaluate 83 - 85 - (6 - 10 - (-11 + -2)). -11 What is the value of 5 + -5 + 0 + 15 + (1 - 40)? -24 What is the value of -6 + -8 + (4 + -10 - (-21 - -1))? 0 What is the value of (12 + (-16 - -4) - 10 - -4) + 27? 21 What is 2 + 0 + (1 - (21 + -50))? 32 What is 10 - (-25 + 41) - (-15 - (-1 - -3))? 11 Evaluate 44 - ((11 - 12) + -3 - -16). 32 What is 7 + (-10 - -12) - 0? 9 1 - 25 - (16 + (19 - 26) + -7) -26 Calculate 2 + (-11 + 0 - -2) + (2 - -5). 0 Calculate (-29 - -24) + (2 - -1). -2 Evaluate 4 - (10 + 5 + -3 - -1). -9 What is 2 - 2 - (-1054 + 1020)? 34 Calculate -6 + 5 + (-3 - (-12 - (5 + 4))). 17 Calculate 1 + (-8 + 8 - 3 - (-7 + 2)). 3 What is (4 - 3 - 21) + 119 + -125? -26 Evaluate (6 + -17 - -4) + 10 - -19. 22 Calculate -1 + 1 + 9 - (-57 + 59). 7 Calculate -16 - (2 - 13) - -16. 11 -11 + -25 + 19 + -1 -18 -314 + 284 + 11 + 1 -18 Calculate -3 - ((31 - 25 - 9) + -7 + 0). 7 What is -6 - (-21 + 3) - (12 - 5)? 5 Calculate -4 + (14 - -2) + -19. -7 What is -2 - (-19 + 12) - -13? 18 Calculate 16 + 30 + -64 - (1 - (2 - 2)). -19 Calculate 48 - (-64 + 103) - ((-3 - -2) + -8). 18 -26 + 5 + 38 + -29 + (-8 - 1) -21 (0 - 7) + 2 + (198 - 191) 2 What is the value of 1 + -9 + 16 + (8 - 29)? -13 What is the value of (2 - -3) + -14 + (-42 - -14) + 8? -29 What is -17 + (-9 - 0) + 18 - -5? -3 Calculate -5 + 2 + (-11 + 18 - (-3 + -1)). 8 Evaluate -1 + 6 + 0 - (41 + -15 - 8). -13 What is 3 - 4 - (3 - (-6 + (-1 - -2)))? -9 Calculate 9 + 0 + 1 - (-16 - -25). 1 What is the value of (0 + -1 - (-19 - -32 - 13)) + 16? 15 What is the value of 1 + -5 - (3 + 1 + -1 + 2)? -9 What is (-1 - 7) + -119 + 119? -8 -8 + (4 + (13 - 5 - 7) - -36) 33 What is -22 - (8 - 15) - -1 - -4 - -33? 23 Calculate (-1 - 5) + (-4 - (15 + -15)) + 5. -5 What is the value of 11 - (4 - -13 - 4)? -2 What is the value of -2 + (-1 - 16) + 13? -6 8 - (-16 + 37) - 9 - (-2 - 3) -17 What is the value of (-5 - -10) + -5 + -23? -23 What is the value of 22 - (31 + 24 + -16)? -17 What is (12 - 25) + 0 + -2? -15 Evaluate 5 - (-3 + 5 + -11 - (35 - 85)). -36 -10 + 27 - 4 - (0 - (-2 - -2)) 13 Calculate (18 - 26) + 1 + -1 + 1. -7 -17 + 16 + -1 + 12 - -12 22 What is the value of (-98 - -32) + 34 - -61? 29 Evaluate -3 + (11 - 4) + -9 + -1. -6 16 - (-9 + (-6 - -2) + 8) - -2 23 Calculate 2 - -13 - (9 + -12 + (16 - 23)). 25 What is (2 + 20 + -5 - 8) + -3? 6 What is the value of -20 + (6 + -28 - -28)? -14 What is the value of (-5 - (-2 + 2 + -10)) + -2? 3 Calculate -2 - (2 + 0 - 3) - (16 + -12). -5 What is the value of -9 + (-10 + 9 - -2)? -8 What is the value of -1 + 0 - (11 + (-14 - (-6 - -7)))? 3 What is the value of -5 + (2 + -6 - 5) + 23? 9 72 + -79 + (1 + 1 - (-1 - 0)) -4 What is the value of -12 + (-10 - -5) + (-11 - -20)? -8 What is the value of -1 + 1 + -9 + (-30 - -32)? -7 Evaluate (-11 - 15 - -32) + -13. -7 What is the value of 13 - 9 - (3 - 0)? 1 What is 1 - -2 - 6 - (47 - 31)? -19 Evaluate 3 + (-2 + 10 - (-70 - -68)). 13 What is 10 - (5 + 3 + 2 + -5)? 5 What is the value of -9 + (-23 - -18) + (-1 - -14)? -1 Calculate 7 - (2 - (6 + -25)). -14 What is 5 - ((-6 - 0) + (14 - (-1 - 4)))? -8 Calculate 6 - (9 + -22 + 18 - (0 - 0)). 1 8 + -13 + (6 - (25 + (2 - 10))) -16 What is the value of (73 - 99) + (0 - -33)? 7 What is 6 + 3 + (26 - 19) + 0? 16 What is 67 + -64 - (1 + -14) - (-1 + 5)? 12 5 + -2 + -3 + -3 + 5 2 What is the value of (-7 + 5 - -3 - 5) + 22? 18 -34 + 67 + -41 - (0 - -1) -9 What is the value of 13 + -2 - 12 - -1 - 8 - -3? -5 What is 3 + 3 + -1 + 1 + (-47 - -47)? 6 Evaluate 22 + -32 - (-5 + 1 + -3). -3 Calculate (10 + -23 - -2) + 6 + (-4 - -1). -8 What is the value of (2 - (4 + -2)) + -2? -2 Calculate (-30 - (-14 - 8)) + 0 + -1 + 10. 1 -35 + 34 + 4 + -7 -4 Calculate 33 + (-5 - -11) + -28. 11 Evaluate -40 - ((1 - 9) + -50). 18 What is (11 + -26 - 2 - -2) + -3? -18 What is the value of (6 - (-13 + 8)) + -1 + -2 - 16? -8 Evaluate -37 + 48 + 0 + -5 + 11. 17 Evaluate (4 + -4 + 5 - -3) + -18. -10 What is the value of -1 + -10 + 3 + -13 + 2? -19 8 + (-7 - 4) - 10 - -34 21 What is -9 - ((4 + 8 - 3) + -30 + 0)? 12 Evaluate (4 - (1 - 0)) + (719 - 712). 10 What is the value of -1 - (-17 + 0) - -8? 24 Evaluate 5 - (31 - (15 - (-4 + 19))). -26 -5 + 9 + 93 + -112 -15 Calculate 9 - (-4 - (7 + -21)) - -24. 23 Calculate -32 + (0 - -1 - (-9 + -27 - -37)). -32 What is the value of 21 - ((52 - 11) + -19)? -1 Calculate (-8 - -4 - 5 - -6) + 2 + -12. -13 Evaluate 159 - 147 - (0 + 3 + -2). 11 Calculate (9 - 1) + -5 + -12 + -18 + -9. -36 Evaluate (29 - 18 - (11 - 2)) + -12. -10 What is 3 - (-57 - (-39 + 3))? 24 What is -35 + (56 - 27 - -1)? -5 What is -124 + 118 - (-4 + 4 + -3 - -8)? -11 What is the value of -7 + 45 + -38 + -38? -38 What is the value of 8 + -13 + 5 - (2 + 2 - 9)? 5 What is 16 + -45 + (-5 - -28)? -6 9 - (1 + 7 - (-6 + -25 + 37)) 7 -24 + (1 - -12) + 21 10 What is (-20 + -4 - -7) + -3 + 3? -17 What is the value of (4 - (7 - 3)) + 4 - (0 - 5)? 9 What is (5 - -11) + -12 - 9? -5 Evaluate 34 + -47 - (7 + -21). 1 What is -2 + (13 + 11 - ((-12 - 2) + 5))? 31 Evaluate -1 + 1 + (28 - 17). 11 What is -19 - (10 + -16) - -42 - 8? 21 Evaluate (4 - (4 - -7) - -6) + 6 + -3. 2 What is the value of 2 + 3 - 8 - (-18 + 23 - 22)? 14 Evaluate -54 - -52 - (-1 + -3). 2 -1 - (-22 - -15 - (14 - 4)) 16 2 + -6 + 10 + 9 - (2 + -11) 24 What is 7 + -2 + (18 - 14 - (2 + 2))? 5 32 - 5 - (3 - -15 - 12) 21 (1 - -1) + (-92 - -95) - 10 -5 Evaluate -20 - ((-12 + -1 - -6) + -3). -10 What is the value of -13 - (9 + (2 - (11 + 0)))? -13 What is -5 - (5 + 6 + -29 - -6)? 7 Calculate 1 + 0 + (-2 + -17 - -30). 12 What is 25 + -17 + 14 - (1 - (6 - 1))? 26 What is 26 - (1 + 32) - 10? -17 Evaluate 6 - (-5 - (-4 - 0 - 2) - 4). 9 (-7 - (-17 + 7)) + (2 - -8) 13 What is the value of -302 + 295 + (-1 + 2 - -3) - -3? 0 What is the value of -12 - ((13 - 46) + 24)? -3 What is the value of -68 - ((-16 - -20) + -44)? -28 24 - (52 - -10) - (-1 + 1) -38 Evaluate (-10 - (-20 + 15)) + -7. -12 -1 - 7 - (11 + 26 + -9 + -24) -12 1 - -21 - (-311 - -327) 6 What is the value of 8 + -21 + -27 + 43? 3 Calculate -59 + 52 - (-9 + 3). -1 Calculate -121 + 52 + 64 - (1 - 0). -6 -16 - (-15 - (-22 + 2)) -21 What is the value of (-5 - -11 - (1 + 10) - 5) + 5? -5 What is the value of -9 - (-11 - (-23 + 3) - -18)? -36 What is (-36 - -16) + -2 + 11? -11 Calculate 12 + (9 + 1 - 20) + -2 + 0. 0 What is the value of (-3 + (-1 - -7) - (6 - -1)) + 0? -4 What is the value of 7 - (-1 - 0 - (-4 + (16 - 10)))? 10 (-3 - (0 - -1)) + 325 + -328 -7 Evaluate 6 + -25 + (-13 - -27). -5 0 + (8 - -1) + -5 - (2 + -4) 6 Calculate 7 + -1 - (2 - (-23 - -40)). 21 (14 - (24 - 8)) + 8 6 What is the value of 562 - 563 - ((5 - (0 - 2)) + -2)? -6 Evaluate -13 - (-3 + 17 + -4 + 53 + -62). -14 What is the value of ((7 - 11) + -9 - 1) + -8? -22 -4 + (-3 - -4 - (27 - 40)) 10 27 + -10 + -10 - (-1 - (-16 - 0)) -8 What is the value of 1 + 22 + (49 - 77)? -5 Evaluate 25 - (-24 + -15 + 54). 10 Calculate -1 - 2 - (-10 + -8 + 19). -4 What is the value of (22 + -16 - 10) + -10 + -8? -22 What is -2671 + 2688 - (-1 + 1 + 0)? 17 What is 2 + -12 - (-21 + -3)? 14 Calculate 3 - -43 - (264 - 230). 12 What is the value of -1 + (-42 - -18) + 3? -22 What is the value of -1 + -1 - -2 - (-7 + -1 + -1)? 9 Calculate -5 + (1 - 9) + 8 + -5 + -3. -13 Evaluate -14 + -1 - (28 - (-35 - -77)). -1 Calculate 1 + 7 + (230 + -248 - (3 - 1)). -12 (0 - 3) + 25 + -758 + 769 33 Calculate 0 - -28 - -1 - ((46 - -1) + -45). 27 -5 - -12 - (7 - (15 + -17)) -2 Calculate -10 + (29 - (6 - 18)) - 2. 29 What is the value of 6 + (6 - 3) + (-3 - 7) + -17? -18 14 + -11 - (4 + 3) - -13 9 What is 5 + (4 + -1 - -4) - -9 - 8? 13 2 + (10 - 28) - 18 -34 What is -64 - (12 + -65 + 14)? -25 What is the value of (-6 - -3) + 22 + -20 + -12? -13 What is the value of -15 + 7 + 8 - 15 - -31? 16 -1 + (-2 - -15 - (-30 - -54)) -12 Calculate -15 - (-10 - -3 - -13 - (0 - -13)). -8 Evaluate -10 - (12 - (-22 + 10 - -5 - -9)). -20 Calculate (-2 + (-14 - -8) - -8) + -6 - 0. -6 Evaluate 21 - (42 - (34 + 0)). 13 What is the value of 8 + (-31 - (13 + -19))? -17 2 - (-6 + 3 - (-9 + -10)) - -6 -8 (-1 + 17 - 0) + (22 - (-26 - -55)) 9 Calculate 3 + -12 - (-3 - (-17 - 3)). -26 Calculate (0 - 11 - -11 - -5) + -14 + -1. -10 Calculate (16 - 9) + 10 + -1 + -
{ "pile_set_name": "DM Mathematics" }
2*d**2 - d*f*t + 2608*d*t - 9637*d - 2*f - 3*t - 1 wrt t? d**2 - d*f + 2608*d - 3 Find the third derivative of 3744030*i**2*w**4 - 2*i**2*w**2 - 1010*i + 460*w**2 wrt w. 89856720*i**2*w Find the third derivative of -88353*f**6 + 2295*f**2 - f. -10602360*f**3 What is the first derivative of -184789*n**2 + 659349 wrt n? -369578*n Differentiate -l**2*x*z - 4*l**2*x + 409*l**2 + 11*x + 2*z + 507 wrt l. -2*l*x*z - 8*l*x + 818*l What is the third derivative of -2*c**3*p*u**2 - 6*c**3*u**3 + 40757*c**2*p*u**3 + 13*c**2*p*u**2 - 5*c*p*u**2 - p*u**2 - 2*p*u - 13*p wrt u? -36*c**3 + 244542*c**2*p What is the third derivative of -20639*k**3*w + 2*k**2*w + 8*k**2 - w - 80 wrt k? -123834*w Find the first derivative of 3*h**4 - 982*h**2 - 24*h - 812886. 12*h**3 - 1964*h - 24 What is the derivative of -140529*j*x + 41347*j - 6*x + 2 wrt x? -140529*j - 6 What is the first derivative of -18499*p*t + 143984*p - 2*t wrt t? -18499*p - 2 What is the first derivative of 815577*c - 256667? 815577 What is the second derivative of 17*b**4*g**2 + 2*b**4 + 1970*b**2 + 4*b*g**2 + 2*b*g + 2*b + 5957*g wrt b? 204*b**2*g**2 + 24*b**2 + 3940 What is the second derivative of 900*y**5 - 43*y**4 - 9774*y? 18000*y**3 - 516*y**2 What is the third derivative of 26*s**3*y**3 - 4*s**3 - 4550*s**2*y**6 - 12806*s**2*y**2 wrt y? 156*s**3 - 546000*s**2*y**3 Find the second derivative of 3*p**4 + 15*p**3 + 1879*p**2 + 149604*p. 36*p**2 + 90*p + 3758 Find the first derivative of -670217*t*z + 438680*t - z**3 - z**2 wrt z. -670217*t - 3*z**2 - 2*z Differentiate 876*a*z - 1491217*a - 395*z**3 with respect to z. 876*a - 1185*z**2 What is the second derivative of -11190*n**2 + 25642*n wrt n? -22380 What is the second derivative of 9*v**4 + 553*v**3 - 8*v**2 - v - 192759 wrt v? 108*v**2 + 3318*v - 16 Find the third derivative of -39214*a**5 - a**4 + a**3 - 3*a**2 - 1612 wrt a. -2352840*a**2 - 24*a + 6 Find the third derivative of -3*j**2*o**2*r**3 + 2*j**2*o**2*r - 840*j**2*o*r**2 - 3*j**2*r**2 - 407*j*o**2*r**3 wrt r. -18*j**2*o**2 - 2442*j*o**2 Find the first derivative of 4996*m**3*n - 17027*m**3 - 10*m**2*n**2 + 6*n**2 - 19 wrt n. 4996*m**3 - 20*m**2*n + 12*n What is the third derivative of -106445*y**3 + 1185*y**2 - 2*y + 8 wrt y? -638670 What is the first derivative of g*p**2*w + 237*g*p**2 - 11*g*p*w - 41*g*p + 570*p**2*w - p**2 - 2 wrt w? g*p**2 - 11*g*p + 570*p**2 What is the second derivative of -147509*w**3 + 216*w + 32 wrt w? -885054*w What is the second derivative of 29575*j**5 - 27205*j wrt j? 591500*j**3 Find the third derivative of 835411*a**4 - 107*a**2 - 4769*a. 20049864*a What is the first derivative of -8*n**2 - 362*n*u**2 + 4*u**2 + 21420 wrt n? -16*n - 362*u**2 What is the derivative of 141*u*x + 314*u + 79*x + 112 wrt u? 141*x + 314 Find the third derivative of -54*g**2*n**2*x**3 - 2*g**2*n**2*x - 198*n**2*x**3 - 400*n**2*x + 2*n*x**2 + 9*x**2 wrt x. -324*g**2*n**2 - 1188*n**2 What is the third derivative of -19322*d**3*z**3 + 2*d**3 + 17*d*z**2 + 4*z + 2 wrt z? -115932*d**3 What is the second derivative of 3889112*k*p**3*x**2 + 151*k*p**3 - 2*k*p*x - 2*k*x + 258*p**3*x + 3*p*x wrt x? 7778224*k*p**3 Find the third derivative of -15*c*n*o**2 + 2*c*n*o - 2*c*o**5 + 13233*c*o**3 + 22*c - n*o**4 + 39*n*o**2 wrt o. -120*c*o**2 + 79398*c - 24*n*o Differentiate 8*n**4 - 447*n**3 + 7*n**2 + 3*n + 1351751. 32*n**3 - 1341*n**2 + 14*n + 3 Find the first derivative of -105*z**3 - 3*z**2 + 6*z + 3073421. -315*z**2 - 6*z + 6 Find the second derivative of 422*s**3*y**2 + 10*s**3*y + 3601*s*y**2 + y**2 - 2 wrt s. 2532*s*y**2 + 60*s*y Find the third derivative of 67394*q**3*t**2 + 2*q**3 - 2*q**2*t**2 - 63*q**2*t - q**2 - 21*t**2 wrt q. 404364*t**2 + 12 What is the first derivative of 19*l**3 - 103*l**2 - 15*l + 1188524? 57*l**2 - 206*l - 15 Find the second derivative of 29742*v**2 + 22371*v wrt v. 59484 Find the second derivative of 157603*a**3 - 42*a - 1309 wrt a. 945618*a Differentiate -422*i**3*s**2 + 367*i*s**3 - 4*s**3 - 47*s**2 + 1530*s + 3 wrt i. -1266*i**2*s**2 + 367*s**3 What is the third derivative of 49037*z**3 + 2*z**2 - 936 wrt z? 294222 What is the second derivative of -461908*d**2 + 9253*d - 8? -923816 Differentiate -64*p**4*q - 21451*p*q - 6832*q - 166 with respect to p. -256*p**3*q - 21451*q What is the first derivative of -615*b*t**4 - 350*b*t + 184868*b + 2 wrt t? -2460*b*t**3 - 350*b Find the first derivative of -2*l*o - 630*l*r + 3*l - 32*o*r**3 - 3*o*r**2 - 225*o + r**3 + 1 wrt o. -2*l - 32*r**3 - 3*r**2 - 225 What is the first derivative of -12*s**4 + 487*s**3 + 2*s**2 + s - 1076663? -48*s**3 + 1461*s**2 + 4*s + 1 Find the first derivative of -174874*c**3 - 3*c - 516539. -524622*c**2 - 3 Find the first derivative of -2471*k**4 - 2*k**3 + 8383. -9884*k**3 - 6*k**2 What is the derivative of 19*a*v**4 + 3955726*a - 5881*v**4 wrt v? 76*a*v**3 - 23524*v**3 What is the first derivative of -3011*h**3 - 92832? -9033*h**2 What is the third derivative of 32723*a**4 - a**3 + 16*a**2 - 46*a - 16 wrt a? 785352*a - 6 Find the second derivative of -207438*f**2 + 13*f - 371 wrt f. -414876 What is the third derivative of 87*l**4 + 70*l**3 - 14*l**2 - 2957*l wrt l? 2088*l + 420 What is the derivative of -55*b**3 + 317*b - 92254 wrt b? -165*b**2 + 317 Find the second derivative of 11*b**3*r**2*t - 2*b**3*t - 2*b**2*r**2*t + 29*b**2*r*t - 13*b*r**2*t + 29*b*r + 4*t wrt r. 22*b**3*t - 4*b**2*t - 26*b*t Differentiate 2*n**3*w**2 + 2*n**3 - 2525*n**2*w**3 - n + 3*w + 47211 wrt w. 4*n**3*w - 7575*n**2*w**2 + 3 What is the third derivative of 298900*y**4 - 1708827*y**2? 7173600*y What is the third derivative of 253*d**3*v**2 + 5864*d**3*v - 2990743*d**2*v**2 wrt d? 1518*v**2 + 35184*v What is the third derivative of 171676*b**2*f**3 + b**2*f**2 + b*f - 27*f**2 - 82 wrt f? 1030056*b**2 Find the third derivative of 16890*r**4 - 23*r**2 - 132*r + 2. 405360*r Find the third derivative of -26553*b**6*m**2 + 16*b**2*m**2 + 447*b**2 wrt b. -3186360*b**3*m**2 Differentiate -169*a**3*l - 606*a**3 + 15089*l - 22 with respect to a. -507*a**2*l - 1818*a**2 Find the second derivative of -22*r**3*u**2 - 2879*r**2*u**3 + 68*r*u**3 - 1778*u**2 wrt r. -132*r*u**2 - 5758*u**3 What is the third derivative of -273352*t**3*y**3 + 312*t**2*y**2 - 337*t**2 - 2*t*y**3 wrt t? -1640112*y**3 What is the first derivative of -23985*v**2 + 56552 wrt v? -47970*v Find the third derivative of 216*h**6 - 8*h**5 + 5*h**4 + 87*h**2 + 7*h + 85. 25920*h**3 - 480*h**2 + 120*h Differentiate -x**3 + 68*x**2 + 175*x + 37875 with respect to x. -3*x**2 + 136*x + 175 What is the third derivative of 2*r*s*x**3 + 27*r*s*x**2 + r*s*x - 4*r*x**3 + s*x**3 - 62*s - 2765*x**3 - 3*x**2 wrt x? 12*r*s - 24*r + 6*s - 16590 What is the derivative of -12937*j*z**2 + 24931*z**2 wrt j? -12937*z**2 What is the third derivative of 114943*k**5 - 24*k**2 - 465? 6896580*k**2 Find the second derivative of 35845*p**2*x**3 - 104*p*x + 63*x**3 wrt p. 71690*x**3 What is the third derivative of 25*f**6 + 2*f**5 + 288*f**4 + 99*f**2 - 324? 3000*f**3 + 120*f**2 + 6912*f What is the first derivative of -899406*v**2 - 75267? -1798812*v What is the third derivative of d**3*j**2 + 4709*d**3*j - 2*d**3 - 50*d**2*j + d*j**2 + j**2 - 32*j wrt d? 6*j**2 + 28254*j - 12 What is the third derivative of l**6 - 37765*l**4 + 3*l**3 + 99184*l**2? 120*l**3 - 906360*l + 18 Find the second derivative of 131757*w**2 + 371472*w - 1 wrt w. 263514 What is the second derivative of -2*q**3*r - 530*q**3 - 5*q**2*r + 10*q**2 + q*r - 12522*q - 5*r + 1 wrt q? -12*q*r - 3180*q - 10*r + 20 Differentiate a**2 - 1847226*a - 93302. 2*a - 1847226 What is the second derivative of -2*j**2*m**2 - 920*j**2*m - 21*j**2 + 54603*m**2 wrt m? -4*j**2 + 109206 What is the third derivative of -1791*l*p**4 - 60533*l*p - l + 614*p**4 - 3*p**2 + 2 wrt p? -42984*l*p + 14736*p Find the third derivative of -11*n**6 - 2740*n**4 + n**3 + 4383*n**2 - 1. -1320*n**3 - 65760*n + 6 What is the second derivative of -125911*o*y**2 - 333457*o*y wrt y? -251822*o Find the third derivative of 19936*v**5 + 97*v**3 + 9*v**2 + 422*v - 7. 1196160*v**2 + 582 What is the third derivative of -j**5 + 15998*j**4 - 2*j**3 - 162619*j**2 wrt j? -60*j**2 + 383952*j - 12 Find the first derivative of 11*b*j**3 + 2976*b*j*x**3 - 17*j
{ "pile_set_name": "DM Mathematics" }
2*r**2 - 21*r wrt r. -288*r**2 What is the third derivative of 452*t**2 - 3909766*t**5 + 156*t**6 + 3909766*t**5 wrt t? 18720*t**3 Let s(f) = 5*f + 7. Let o be s(-2). Let v be (-7 - o)*10/(-5). What is the second derivative of 2*c - 2*c + 4*c**3 + v*c + 0*c wrt c? 24*c Let j = -45 + 45. Let d(o) be the first derivative of -o**3 + j*o**5 + 0*o**2 + 0*o**4 + 1/3*o**6 - 2 + 0*o. What is the third derivative of d(s) wrt s? 120*s**2 Let v(a) = 13594*a - 148. Let u be v(17). Find the second derivative of u*p**2 - 230950*p**2 + 148*p - 186*p**3 wrt p. -1116*p Differentiate -a**2 + 643 - 397 + a**2 + 1526*a**4 + 795 with respect to a. 6104*a**3 Let d(y) be the first derivative of 2*y**7/7 + 2987*y**4/2 - 2*y**3/3 + 9*y**2/2 - 7*y - 9170. Find the third derivative of d(a) wrt a. 240*a**3 + 35844 Let b = -36 - -13. Let c = b - -28. What is the second derivative of 21*q**5 + 5*q**c - 10*q**5 - 4*q wrt q? 320*q**3 Differentiate -1246 - 5447*z + 869*z + 401*z + 1256*z with respect to z. -2921 What is the derivative of -43 + 2*t + 378*t**2 + 4*t**3 - 407 - 1070 - t**3 - 2*t**3 wrt t? 3*t**2 + 756*t + 2 Suppose 0 + 15 = 5*v. Let u(j) = -j + 10. Let q be u(6). Find the third derivative of 9*s**2 + q*s**v - 11*s**3 + 9*s**2 wrt s. -42 Let n(i) = -i**2 + 2*i + 1. Let j(g) = -1909*g**3 + 1951*g**2 + 6*g + 3. Let q(t) = -j(t) + 3*n(t). Find the third derivative of q(x) wrt x. 11454 Let d(h) = 85*h**5 - 10*h**2 + 3*h - 19. Let q(n) = 256*n**5 - 32*n**2 + 10*n - 56. Let u(a) = 10*d(a) - 3*q(a). Find the third derivative of u(x) wrt x. 4920*x**2 Differentiate -2888*c**4 + 347 + 130*c**4 - 7*c + 7*c + 9428 wrt c. -11032*c**3 Let r(j) be the second derivative of -39/2*j**3 - 75*j + 0*j**2 - 35/12*j**4 + 0. What is the second derivative of r(k) wrt k? -70 Let u be 45/12*(-16)/(-6). Suppose -u*m + 6*m = -8. Find the first derivative of -m - 9 + 27*x - 4 - 39*x wrt x. -12 Differentiate 4328*s**2 + 4341*s**2 - 1634*s**2 - 4561 wrt s. 14070*s What is the second derivative of -60359 + 12*m**4 + 4831*m - 362*m**3 + 60359 - 10*m**4 wrt m? 24*m**2 - 2172*m Let j(h) be the second derivative of h**5/10 + 94*h**4/3 + 43*h**3/6 - 2*h**2 + 315*h + 4. Find the second derivative of j(y) wrt y. 12*y + 752 Find the second derivative of 73*m**5 - 2*m**4 - 1444*m - 75*m**5 - 2989 + 2989 - 303*m**3 wrt m. -40*m**3 - 24*m**2 - 1818*m Let z(y) = 109*y**3 + 10*y**2 + 3*y - 290. Let d(v) = 331*v**3 + 27*v**2 + 8*v - 871. Let r(l) = 3*d(l) - 8*z(l). What is the first derivative of r(a) wrt a? 363*a**2 + 2*a Suppose 8*p = -20 + 196. Let t be -2*-3*p/4. What is the third derivative of -9*v**2 + 10*v**2 + v**3 - t*v**3 wrt v? -192 Find the third derivative of -87*p - 259*p**2 + 58*p**5 + 91*p + 31*p**5 - 86*p**5 - 857*p**6 wrt p. -102840*p**3 + 180*p**2 Let v(b) = -1689*b + 4140. Let z(j) = 2534*j - 6212. Let h(u) = -7*v(u) - 5*z(u). What is the first derivative of h(y) wrt y? -847 Let y(s) be the first derivative of -19*s**3/3 - 17*s**2/2 + 340*s + 2845. Differentiate y(l) with respect to l. -38*l - 17 Let i(j) = 2. Let a(y) = 9*y + 41. Let v(o) = a(o) + 3*i(o). Let u be v(-5). Find the second derivative of -2*g**2 - 4*g**u + 6*g**2 - 31*g**3 - 7*g wrt g. -186*g Suppose 1416 = 4*b - 2*t, -5*b - 5*t + 324 = -1431. Suppose 6*v - b = -95. What is the first derivative of v + 19*i**2 - 3*i**2 - 24 wrt i? 32*i Differentiate 4*c**2 + 656 - 15*c - 2*c**2 - 1250 + 651 - c**2 wrt c. 2*c - 15 Let g(p) = -p**4 + p**2 - 1. Let a(b) = 1165*b**5 - 5*b**4 + 5*b**2 - 2*b + 320. Let s(j) = a(j) - 5*g(j). What is the second derivative of s(q) wrt q? 23300*q**3 Suppose 4*q - 3*o + 1 = 0, 2*q + 9 + 2 = 5*o. Find the second derivative of -4*y**3 + 2*y**q + 2037 - 2146 - y + 5*y**2 - 2*y**2 wrt y. -24*y + 10 Let w(p) = -2*p**3 + 21*p**2 - 7*p - 13. Let y be w(10). Let q be (-1 - (-1)/2)*-4. Find the first derivative of -18*b**q + 10*b**2 + y + 7*b**2 wrt b. -2*b Suppose 2*o - 9 = -o. What is the second derivative of -18*g + 42*g**3 + 9*g + 11*g + 32*g**o wrt g? 444*g Let a(r) be the second derivative of -4*r**6/5 + 7*r**5/20 - r**4/12 - 5*r**3 - 1552*r. What is the third derivative of a(g) wrt g? -576*g + 42 Let b(z) = 3*z**2. Let w be (8 - (-2 + 5)) + -3 - 1. Let l(y) = 11*y**2 + 5*y - 46. Let a(h) = w*l(h) + b(h). What is the derivative of a(q) wrt q? 28*q + 5 Let g(b) be the first derivative of 4445*b**4/2 + 3723*b - 13213. Find the first derivative of g(v) wrt v. 26670*v**2 Let i = -9 - -52. Let t = i - 26. What is the second derivative of -t*n + 5*n**2 - n**2 - n**2 + 9*n**2 wrt n? 24 Let d(l) = 2090*l**4 - l**3 + l**2 + 9. Let z(q) = -1046*q**4 - 5. Let j(m) = -2*d(m) - 5*z(m). What is the third derivative of j(g) wrt g? 25200*g + 12 What is the derivative of -325*s**4 + 191 - 108*s**4 + 838*s**4 - 750 wrt s? 1620*s**3 Let s(m) = 1990*m**2 + 10*m + 11209. Let g(y) = -2022*y**2 - 8*y - 11208. Let n(x) = 6*g(x) + 5*s(x). Differentiate n(a) with respect to a. -4364*a + 2 Let t = -20 + 31. Suppose 16*v + 3*r = t*v + 116, r + 20 = v. Find the second derivative of 15*c**5 - 38*c - 16 - 6 + v wrt c. 300*c**3 Suppose 0*q + q = -940. Let h be (-1)/(21/12) - q/28. Differentiate -12*f**4 + 22 + 28 - h wrt f. -48*f**3 Let h = 94 - 61. Find the second derivative of -45*l + 65*l**2 - 78*l**2 - h*l wrt l. -26 Differentiate 356*n + 488 + 215*n + 152*n - 93*n + 341 wrt n. 630 Let o = 1218 - -1965. Differentiate 8*n + o + 0*n**2 + 0*n**2 - 3355 + 8*n**4 with respect to n. 32*n**3 + 8 Find the second derivative of -78*j + 6*j**3 + 453*j**5 - 25*j**3 - 910*j + 19*j**3 wrt j. 9060*j**3 Let l(m) = -m**2 + 7*m - 3. Let v be l(6). Let u be 204/48 - (-1)/(-4). What is the third derivative of -u*x**3 - 4*x + x - 15*x**2 + v*x wrt x? -24 What is the derivative of 6*n - 87*n**2 + 354*n**2 - 81*n**2 - 1403 wrt n? 372*n + 6 What is the second derivative of -794*d**2 + 130*d**2 - 51988*d + 52993*d + 2 wrt d? -1328 What is the first derivative of -62793*f + 62793*f - 1707 + 1794*f**2 wrt f? 3588*f Let r = 511 - 479. Find the second derivative of -13*a**4 - r*a**4 + 4*a**4 + a + 0*a**4 + 51 wrt a. -492*a**2 Let h(m) be the third derivative of 0*m**3 + 2*m**2 - 25 + 101/60*m**5 + 0*m + 5/8*m**4. What is the second derivative of h(a) wrt a? 202 What is the second derivative of -5*r**2 - 7843*r - 48 - 277*r**5 + 7819*r - 40 wrt r? -5540*r**3 - 10 Let o(c) be the third derivative of 2*c**7/105 + c**5/3 + 188*c**4/3 - 2*c**2 - 459. What is the second derivative of o(q) wrt q? 48*q**2 + 40 Let r(v) be the second derivative of -137*v**7/210 - 37*v**3/3 + 70*v**2 + v + 62. Let f(p) be the first derivative of r(p). Differentiate f(m) wrt m. -548*m**3 Let b(c) = 4760*c**2 - 28*c - 2184. Let v(r) = r**2 + r + 3. Let w(g) = b(g) + 28*v(g). Differentiate w(z) with respect to z. 9576*z What is the third derivative of 8393*y**2 - 10590*y**3 - 71*y**4 + 10588*y**3 + 78*y**4 wrt y? 168*y - 12 What is the third derivative of -854*z**3 - 31*z + 28*z - 430*z**3 - 257*z**2 wrt z? -7704 Let o be 7/1 + 8 + (-1710)/120. Let s(r) be the first derivative of -23/3*r**3 + o*r**4 + 0*r + 0*r**2 + 15. Find the third derivative of s(y) wrt y. 18 Let s(q) = 5*q + 179. Let p be s(-35). Find the first derivative of 80*l**2 + p - 18 - 72*l**2 + 38*l**2 + 2*l**4 wrt l. 8*l**3 + 92*l Find the first derivative of -3523 - 5603*c + 13676*c - 6530*c wrt c. 1543 What is the first derivative of -156*w - 832355 - 10*w + 825829 wrt w? -166 Let r(k) = 984*k**4 + 2*k**3 - 529. Let d(b) = -b**4 + b**3 + b. Let t(a) = 2*d(a) - r(a). What is the derivative of t(x) wrt x? -3944*x**3 + 2 Let d be 3/1*18/54. Suppose -k - d = 0, 4*q + 0*k + 5*k - 47 = 0. Find the second derivative of -22*s**4 - 18*s + 7*s**4 + q*s**4 + 15*s**4 wrt s. 156*s**2 Suppose -3*v - 30 = -6. Let d(p) = 2*p + 31. Let z be d(v). Find the second derivative of -b - 6*b - 5*b + z*b**3 wrt b. 90*b Let i(f) = 7*f**2 + 30*f - 3557. Let o(l) = -5*l**2 - 28*l + 3554. Let g(q) = -5*i(q) - 6*o(q). What is the first derivative of g(t) wrt t? -10*t + 18 Let z = 128 - 113. What is the third derivative of -19*j + 35*j**3 - 13*j**2 - z*j**2 + 25*j**2 + 18*j wrt j? 210 Let h be 2/3*(7 + 29). Let o = -21 + h. Find the second derivative of -4*j**o - 2*j**3 + 14*j + 9*j**3 - 7*j wrt j. 18*j Let z(h) = -h + 11. Let a be z(8). Suppose -14
{ "pile_set_name": "DM Mathematics" }
er when 588 is divided by 31? 30 What is the remainder when 121 is divided by 45? 31 Calculate the remainder when 1162 is divided by 71. 26 What is the remainder when 3873 is divided by 5? 3 What is the remainder when 52 is divided by 39? 13 Calculate the remainder when 1433 is divided by 290. 273 What is the remainder when 240 is divided by 111? 18 Calculate the remainder when 482 is divided by 475. 7 What is the remainder when 745 is divided by 251? 243 Calculate the remainder when 154 is divided by 59. 36 Calculate the remainder when 440 is divided by 74. 70 Calculate the remainder when 436 is divided by 25. 11 What is the remainder when 1242 is divided by 413? 3 Calculate the remainder when 10632 is divided by 217. 216 Calculate the remainder when 45 is divided by 23. 22 Calculate the remainder when 1228 is divided by 82. 80 Calculate the remainder when 23 is divided by 5. 3 Calculate the remainder when 59 is divided by 17. 8 What is the remainder when 359 is divided by 90? 89 What is the remainder when 767 is divided by 128? 127 What is the remainder when 196 is divided by 44? 20 Calculate the remainder when 16 is divided by 6. 4 Calculate the remainder when 17402 is divided by 169. 164 Calculate the remainder when 1698 is divided by 122. 112 What is the remainder when 551 is divided by 111? 107 What is the remainder when 51 is divided by 29? 22 Calculate the remainder when 390 is divided by 63. 12 Calculate the remainder when 708 is divided by 79. 76 What is the remainder when 3857 is divided by 143? 139 What is the remainder when 311 is divided by 7? 3 What is the remainder when 393 is divided by 24? 9 What is the remainder when 1304 is divided by 406? 86 What is the remainder when 622 is divided by 69? 1 What is the remainder when 1240 is divided by 527? 186 Calculate the remainder when 107 is divided by 45. 17 What is the remainder when 15716 is divided by 271? 269 Calculate the remainder when 112 is divided by 7. 0 What is the remainder when 115 is divided by 33? 16 What is the remainder when 119 is divided by 36? 11 What is the remainder when 8381 is divided by 364? 9 Calculate the remainder when 852 is divided by 14. 12 Calculate the remainder when 59 is divided by 22. 15 Calculate the remainder when 304 is divided by 157. 147 Calculate the remainder when 2853 is divided by 24. 21 What is the remainder when 161 is divided by 9? 8 What is the remainder when 102 is divided by 37? 28 Calculate the remainder when 102 is divided by 67. 35 What is the remainder when 848 is divided by 424? 0 What is the remainder when 82 is divided by 41? 0 What is the remainder when 1976 is divided by 33? 29 What is the remainder when 45 is divided by 13? 6 What is the remainder when 924 is divided by 199? 128 What is the remainder when 271 is divided by 139? 132 What is the remainder when 256 is divided by 222? 34 What is the remainder when 69 is divided by 15? 9 Calculate the remainder when 71 is divided by 19. 14 What is the remainder when 191 is divided by 8? 7 Calculate the remainder when 1642 is divided by 31. 30 What is the remainder when 1295 is divided by 203? 77 What is the remainder when 30 is divided by 7? 2 Calculate the remainder when 957 is divided by 116. 29 Calculate the remainder when 130 is divided by 54. 22 What is the remainder when 472 is divided by 24? 16 What is the remainder when 546 is divided by 25? 21 Calculate the remainder when 62283 is divided by 23. 22 What is the remainder when 109 is divided by 4? 1 Calculate the remainder when 359 is divided by 353. 6 Calculate the remainder when 795 is divided by 48. 27 What is the remainder when 228 is divided by 47? 40 Calculate the remainder when 1432 is divided by 708. 16 Calculate the remainder when 761 is divided by 199. 164 Calculate the remainder when 1007 is divided by 1005. 2 Calculate the remainder when 1014 is divided by 7. 6 Calculate the remainder when 1787 is divided by 16. 11 What is the remainder when 281 is divided by 4? 1 Calculate the remainder when 260 is divided by 36. 8 Calculate the remainder when 28982 is divided by 11. 8 What is the remainder when 86 is divided by 37? 12 What is the remainder when 31 is divided by 6? 1 What is the remainder when 113 is divided by 85? 28 What is the remainder when 62 is divided by 32? 30 Calculate the remainder when 486 is divided by 122. 120 What is the remainder when 174 is divided by 118? 56 What is the remainder when 45 is divided by 19? 7 What is the remainder when 130 is divided by 20? 10 Calculate the remainder when 965 is divided by 22. 19 Calculate the remainder when 1548 is divided by 1543. 5 Calculate the remainder when 581 is divided by 258. 65 Calculate the remainder when 276 is divided by 130. 16 Calculate the remainder when 4010 is divided by 13. 6 Calculate the remainder when 139 is divided by 74. 65 Calculate the remainder when 3606 is divided by 190. 186 Calculate the remainder when 569 is divided by 187. 8 What is the remainder when 1822 is divided by 300? 22 Calculate the remainder when 583 is divided by 96. 7 What is the remainder when 62 is divided by 37? 25 Calculate the remainder when 161 is divided by 30. 11 What is the remainder when 5115 is divided by 22? 11 What is the remainder when 8045 is divided by 2670? 35 What is the remainder when 374 is divided by 69? 29 Calculate the remainder when 1736 is divided by 5. 1 What is the remainder when 2330 is divided by 774? 8 What is the remainder when 130 is divided by 61? 8 What is the remainder when 619 is divided by 69? 67 What is the remainder when 123 is divided by 45? 33 What is the remainder when 838 is divided by 838? 0 Calculate the remainder when 30215 is divided by 67. 65 What is the remainder when 82 is divided by 21? 19 What is the remainder when 243 is divided by 61? 60 Calculate the remainder when 2488 is divided by 13. 5 What is the remainder when 5829 is divided by 830? 19 What is the remainder when 1116 is divided by 34? 28 What is the remainder when 3888 is divided by 205? 198 Calculate the remainder when 212 is divided by 101. 10 What is the remainder when 137 is divided by 43? 8 Calculate the remainder when 3203 is divided by 229. 226 What is the remainder when 35 is divided by 6? 5 What is the remainder when 12990 is divided by 16? 14 Calculate the remainder when 314 is divided by 29. 24 Calculate the remainder when 154 is divided by 6. 4 Calculate the remainder when 1129 is divided by 74. 19 What is the remainder when 969 is divided by 21? 3 What is the remainder when 1300 is divided by 425? 25 What is the remainder when 2011 is divided by 33? 31 What is the remainder when 1471 is divided by 238? 43 Calculate the remainder when 591 is divided by 9. 6 Calculate the remainder when 202 is divided by 41. 38 Calculate the remainder when 462 is divided by 459. 3 What is the remainder when 647 is divided by 162? 161 Calculate the remainder when 51 is divided by 18. 15 What is the remainder when 62 is divided by 17? 11 What is the remainder when 259 is divided by 202? 57 Calculate the remainder when 1089 is divided by 348. 45 What is the remainder when 8475 is divided by 163? 162 What is the remainder when 831 is divided by 136? 15 Calculate the remainder when 1558 is divided by 12. 10 What is the remainder when 197 is divided by 96? 5 What is the remainder when 3850 is divided by 962? 2 What is the remainder when 29 is divided by 17? 12 What is the remainder when 656 is divided by 32? 16 Calculate the remainder when 4928 is divided by 352. 0 Calculate the remainder when 1961 is divided by 198. 179 What is the remainder when 1423 is divided by 75? 73 Calculate the remainder when 4114 is divided by 4101. 13 What is the remainder when 136 is divided by 26? 6 What is the remainder when 445 is divided by 54? 13 Calculate the remainder when 2067 is divided by 9. 6 What is the remainder when 104 is divided by 3? 2 Calculate the remainder when 3821 is divided by 426. 413 Calculate the remainder when 391 is divided by 60. 31 Calculate the remainder when 602 is divided by 19. 13 What is the remainder when 70 is divided by 20? 10 What is the remainder when 394 is divided by 33? 31 Calculate the remainder when 97 is divided by 46. 5 What is the remai
{ "pile_set_name": "DM Mathematics" }
ppose 2*i + 3 = 13. Let a(f) = 7*f - 4*f + 4*f - 7. Give i*l(x) - 2*a(x). x - 1 Let j(h) = 4*h**2 + 1. Let n(f) = 17*f**2 + 4. Suppose 0 = 3*q - 16 - 2. Let a be (-4)/6 + (-76)/3. What is a*j(l) + q*n(l)? -2*l**2 - 2 Let n(o) = -o**2 - 2*o. Let t(l) be the first derivative of -l**2/2 - l + 2. Determine n(w) - t(w). -w**2 - w + 1 Let u(r) be the second derivative of 11/12*r**4 + 2/3*r**3 + r + 5/2*r**2 + 0. Let o(v) = 5*v**2 + 2*v + 2. Let l = -242 + 245. Calculate l*u(q) - 7*o(q). -2*q**2 - 2*q + 1 Let l be 10/4*(-16 + 18). Let v(p) = 3*p**2 - 3. Let g(w) = -6*w**2 + 5. Give l*v(u) + 3*g(u). -3*u**2 Let n(j) = 4*j. Let b(s) = s**2 - 27. Let f be b(-5). Let a(v) be the second derivative of v**3/6 - v**2/2 - v. Let w = 3 + -2. What is f*a(u) + w*n(u)? 2*u + 2 Let g(n) = -3*n**2 + 0*n**2 - 2*n**2 - 4 + 2*n**3. Let c(q) be the third derivative of q**6/24 - 7*q**5/30 - 11*q**3/6 - 14*q**2. What is 4*c(t) - 11*g(t)? -2*t**3 - t**2 Let s(z) = -3*z**3 + 2*z**2 + 5*z + 4. Let v(t) = 3*t**3 - 2*t**2 - 4*t - 3. Let f(g) = -2*s(g) - 3*v(g). Let h(k) = k**3 - k**2 - k. Determine f(p) + 2*h(p). -p**3 + 1 Let b(r) = -2*r + 5*r + r - 2. Let c be -1*(-1 - -2*1). Let v(i) = -i. Let o = 82 - 87. Determine c*b(z) + o*v(z). z + 2 Let j(t) = 7*t**2 + 4*t + 5. Let g be (1 - -1)*165/22. Suppose -15 = 5*x + g. Let n(b) = -8*b**2 - 5*b - 6. Determine x*j(q) - 5*n(q). -2*q**2 + q Let w(h) = -3 + 1 - 5*h + h - 2*h**2. Let z(o) = 2*o - o - 3*o. Let i be z(2). Let a(x) = -x. What is i*a(r) + w(r)? -2*r**2 - 2 Let l be (-2)/8 - (-1)/4. Let h(o) = -o**3 - 4. Let r be h(l). Let g(m) = 2*m**2 + 6*m. Let a(p) = -2*p**2 - 5*p. Determine r*g(y) - 5*a(y). 2*y**2 + y Let r(o) = -o**2 + 1. Let q(v) = -5. What is q(c) + 5*r(c)? -5*c**2 Let z(v) be the second derivative of v**4/12 + 7*v**3/6 + 7*v**2/2 - 2*v + 32. Let h(b) = 0*b + 4 + 0*b**2 + b**2 + 4*b. Give -5*h(p) + 3*z(p). -2*p**2 + p + 1 Let k(v) = -3*v - 5. Let g be k(-5). Suppose g = 2*s - 4*s. Let c(w) = -4*w - 3. Let d(t) = -9*t - 7. Determine s*c(y) + 2*d(y). 2*y + 1 Suppose 0*l = -2*l + 6. Let a(j) = 2*j + 2 + 4*j**2 + l - j**3 - 5. Let u(s) = -4*s**3 + 13*s**2 + 7*s. What is -7*a(d) + 2*u(d)? -d**3 - 2*d**2 Let h(r) = -14*r**2 - 17*r - 3. Let g(x) = x**2 + 10*x + 4. Let a be g(-10). Let z(u) = 5*u**2 + 6*u + 1. What is a*h(y) + 11*z(y)? -y**2 - 2*y - 1 Let v(p) = -92*p. Let f(z) = -23*z. Determine 9*f(h) - 2*v(h). -23*h Let u(d) = 5*d - 1. Let o(t) = t. What is 18*o(h) - 4*u(h)? -2*h + 4 Let c(u) = -5*u**2 - u - 1. Let x(h) = -2*h - 4*h**2 - 24 + 11 + 12 + h. Calculate 3*c(d) - 4*x(d). d**2 + d + 1 Let m(h) = 11*h**2 + 2*h + 2. Let v(p) = -45*p**2 - 8*p - 9. Calculate -9*m(n) - 2*v(n). -9*n**2 - 2*n Let t(m) = -16*m**2 + 11. Let j = 22 + 0. Let l(s) = 3*s**2 - 2. Give j*l(p) + 4*t(p). 2*p**2 Let z(p) = -3*p + 2. Let f(o) = -4*o**2 + 2*o + 1. Let h be f(-1). Let l(r) = -r + 1. What is h*l(v) + z(v)? 2*v - 3 Let r(d) = 6*d**2 - 1. Suppose -24 = -3*u + 4*n, -u + 6*n = 2*n - 16. Let p(s) = 13*s**2 - 2. Suppose -j + 4*g - 32 = -7, g = 5*j + 49. What is j*r(b) + u*p(b)? -2*b**2 + 1 Let r(u) = 6*u + 3. Suppose 3*c + 6 = 0, -4*f + 5*c + 6 = -0*f. Let q(y) = -y - 1. Calculate f*r(n) - 4*q(n). -2*n + 1 Let s = -11 + 10. Let h(y) be the third derivative of -y**5/60 - y**4/24 + y**3/6 - 4*y**2. Let w(k) = 4*k**2 + 6*k - 6. Determine s*w(z) - 6*h(z). 2*z**2 Let l(y) = -3*y**3 + 2*y - 2. Let m(p) = -4*p**3 + 3*p - 3. Suppose -2*j = 5*z - 9, 8*j + 2*z = 4*j + 10. Determine j*m(f) - 3*l(f). f**3 Let x(h) = -9*h**3 - 11*h + 11. Let a(b) be the first derivative of 5*b**4/4 + 3*b**2 - 6*b - 1. Let w be (2 + 0)/(8/(-44)). Determine w*a(q) - 6*x(q). -q**3 Let i(q) be the first derivative of q**2 + 4*q + 1. Let u(k) = -7. Let t(x) = 11. Let y(r) = -5*t(r) - 8*u(r). What is -i(m) + 4*y(m)? -2*m Let g be (-50)/18 + 2/(-9). Let y(m) = -2*m**2 + 3*m + 5. Let o(p) be the first derivative of 2*p**3 - 4*p**2 - 14*p - 6. Give g*o(z) - 8*y(z). -2*z**2 + 2 Let i(k) = -k**2 - 6*k - 4. Suppose 3*w - 15 = -0. Suppose v + w = 2*v. Let z(m) = -153*m**2 - 5*m + 152*m**2 - 3 + 0. Give v*i(r) - 6*z(r). r**2 - 2 Let l(q) = 4*q**3 + 9*q**2 - 9*q + 9. Let k(n) = -57*n**2 + 2*n - 64*n**2 - 2 - n**3 + 119*n**2. Calculate 9*k(x) + 2*l(x). -x**3 Let i(d) = 5*d**3 + d + 4. Let a(n) = n**3 - 12 - 13 + 26. Give -4*a(j) + i(j). j**3 + j Let a(x) = 5*x + 4. Let n be -3 - -6*(-2)/(-4). Let y(m) = 4*m - 1 + n + 4. Determine 3*a(b) - 4*y(b). -b Let y(c) = -12*c. Let b(w) = w. Calculate -6*b(x) - 2*y(x). 18*x Let h(q) = -3*q**3 + 4*q**2 + 3. Let z(u) = -2*u**3 + 3*u**2 + 2. Let v(k) = 3*h(k) - 4*z(k). Let d(r) = 3*r**3 - 2. Determine -d(b) - 5*v(b). 2*b**3 - 3 Let r(g) = -g**3 + 2*g**2 - 2*g + 2. Let c be (35/(-10))/(1/(-2)). Let k(a) = -7*a**2 + c*a - 22 + 3*a**3 - 15 + 30. Calculate -2*k(s) - 7*r(s). s**3 Let w(b) = 20*b**3 - 6*b**2 - 8*b + 11. Let s(i) = 7*i**3 - 2*i**2 - 3*i + 4. What is -11*s(d) + 4*w(d)? 3*d**3 - 2*d**2 + d Let x(g) = 1 + 4*g - 3 + g**2 - 2*g. Let t(i) = 2*i**2 + 3*i - 3. What is -2*t(r) + 3*x(r)? -r**2 Let m(b) = 4. Let p = 16 - 14. Let z(o) = o - 4 + 7 - 2. Calculate p*z(v) - m(v). 2*v - 2 Let d = 3 + -7. Let c(w) = -7*w**2 + 2*w**2 + 2*w**2. Let i(y) = 7*y**2. Calculate d*i(s) - 9*c(s). -s**2 Let n(g) = 21*g + 4. Let s(k) = 42*k + 9. Determine 5*n(h) - 2*s(h). 21*h + 2 Let v(c) = -c**2 - 6*c. Let p(r) = r**2 + r - 1. Calculate p(o) - v(o). 2*o**2 + 7*o - 1 Let i(v) = -v**2 - 2*v**3 - 6*v + 9*v**3 - 1 - 6. Let u(j) = 6*j**3 - j**2 - 5*j - 6. Let f be -4 + 4*(-1 - 1/(-2)). Calculate f*u(o) + 5*i(o). -o**3 + o**2 + 1 Let s(f) be the first derivative of -f**3/3 + f**2/2 - 4. Let x be (-1 - 0/(-2))/1. Let w(m) = -3*m**2 - 2. Suppose p = -0*p + 1. Calculate p*w(j) + x*s(j). -2*j**2 - j - 2 Let a(y) = -y. Let p(j) = j - j - 4*j + 6*j. Calculate 3*a(o) + p(o). -o Let s(i) = 5*i**3 + 2*i**2 - 4*i + 4. Let x(z) = -6*z**3 - 2*z**2 + 5*z - 5. What is -5*s(v) - 4*x(v)? -v**3 - 2*v**2 Let d = -11 - -15. Let b(m) = -3*m**2 - 2. Let v(a) = -13*a**2 + a - 9. Let o(n) = -9*b(n) + 2*v(n). Let c(w) = 2*w**2 + 3*w. Give d*c(x) - 6*o(x). 2*x**2 Let a(i) = -5*i**3 + 3*i**2 + 4*i - 5. Let o(n) = 3 - 4*n**2 + 6*n**3 + 6 - 15 + 12 - 5*n. Let x be (-2)/4*10*1. Determine x*a(w) - 4*o(w). w**3 + w**2 + 1 Suppose 7*k = 13 + 50. Let q(h) = -h + 2. Let l(d) = 4*d - 9. What is k*q(t) + 2*l(t)? -t Let x(d) = 3*d**2 - 7*d - 18. Let t(o) = -10*o**2 + 22*o + 54. Calculate 5*t(y) + 16*x(y). -2*y**2 - 2*y - 18 Suppose 10 = u + 4. Let x(k) = 3*k**2 - 6*k + 6. Let t(c) = -8*c**2 + 17*c - 17. Give u*t(r) + 17*x(r). 3*r**2 Let h(q) = 5. Let v(n) = -n - 6. Give 6*h(m) + 5*v(m). -5*m Let b(y) = -5*y - 14. Let v(p) = 5*p + 13. What is 4*b(w) + 5*v(w)? 5*w + 9 Let z(b) = -143*b**2 + 65*b + 65. Let o(t) = 13*t**2 - 6*t - 6. Calculate -65*o(w) - 6*z(w). 13*w**2 Let q(j) = -2*j**3 + 4*j**2 - 5*j - 7. Suppose 0*g + 9 = 3*g. Let m = 1 - -1. Let f(z) = 3*z + z**3 + 0*z**3 + 4*z**2 - 6*z**m + 4. Determine g*q(o) + 5*f(o). -o**3 + 2*o**2 - 1 Let c(u) = 8*u**2 + u. Let x = -2 + 8. Let s(l) = 9*l**2 + l. Calculate x*c(w) - 5*s(w). 3*w**2 + w Let j(q) = 4*q**2. Let l(w) be the third derivative of w**5/15 + 3*w**2. Calculate 5*j(z) - 4*l(z). 4*z**2 Let f(n) = -5*n**2 + 2*n - 2. Let v(d) = -85*d**2 + 35*d - 35. What is -105*f(o) + 6*v(o)? 15*o**2 Let c(s) = -60*s - 60. Let w(v) = 6*v + 6. Determine 2*c(u) + 21*w(u). 6*u + 6 Let w(s) = -s**3 + s**2 + s + 1. Let g be -8 + 3 + 1 + 3. Let m(z) = 0*z**3 + 2*z + 0*z**3 + 4 - 2*z**3 + 4*z**2 + 2*z. What is g*m(a) + 4*w(a)? -2*a**3 Let w(b) = -13*b**3 - 9*b**2 + 4*b. Let h(y) = -5*y - 4*y**2 + 10*y - 6*y**3 - 3*y. Calculate 9*h(m) - 4*w(m). -2*m**3 + 2*m Let y(z) = -1. Let x(d) = -2*d - 3. Let i(n) = n. Let r(h) = -3*i(h) - x(h). Let j be ((-1)/3)/(1/(-3)). What is j*r(q) + 5*y(q)? -q - 2 Let i(a) = -7*a**2 - 7*a + 10*a - 9*a. Let j(z) = 6*z**2 + 5*z. What is 5*i(c) + 6*j(c)? c**2 Let f(g) be the second derivative of 4*g + 1/2*g**2 + 1/6*g**3 + 0. Let r(i) = -i + 2. Determine -2*f(b) + r(b). -3*b Let q(d) = 7*d**2 + 10*d - 2. Let l(o) = 8*o**2 + 11*o - 2. What is -6*l(t) + 7*q(t)? t**2 + 4*t - 2 Let o(f) = 4*f. Let q(m) = 5*m. Let w = 17 + -20. Calculate w*q(i) + 4*o(i). i Suppose -2*o - 2*q - 14 = 0, 21 = -3*o - 5*q + q. Let l(p) = -p**2 + p + 7. Let d(g) = -g**
{ "pile_set_name": "DM Mathematics" }
h(y) = -y**2 + 5*y + 4. Let n be h(5). Let x(w) = 2*w + 1. Suppose -2*i + 6*i - 8 = 0. Let s be x(i). Solve -5*a = -s*q + 45, 28 = -n*a + q + 4 for a. -5 Let s be ((-12)/(-3))/(6/12). Solve -5*l = 5*a + 33 + 2, 0 = 2*l + s for a. -3 Let c = -41 - -43. Solve c*q - x - 5 = 0, -4*q + 4*x + 5 = 1 for q. 4 Let o(z) be the third derivative of z**6/120 - 7*z**5/30 - 7*z**4/12 - 2*z**3/3 + 5*z**2. Let p be o(15). Solve -16 = -5*f - 3*c, c + 7 + p = 3*f for f. 5 Suppose -9*z + 50 = 14. Solve -3*a = 2*n, 9*n - z*a - 23 = 4*n for n. 3 Suppose 3*s - 4*m = 2*s - 16, -3*s - m = -17. Let i be (5 - s)*1/(-1). Let u be (8 - i - 2) + -2. Solve -3*q - 4*k - 8 = 13, 0 = -5*q + u*k for q. -3 Let g(h) = -h - 5. Let f be g(-7). Suppose 4 = f*s - 2. Let x = -8 - -12. Solve -s = -x*t + 5*o, -t + 2*o + 18 = -5*t for t. -3 Suppose 0 = 6*i - 3*i. Solve -3*n = l - 4, 0 = -l - i - 5 for n. 3 Suppose 2*o = 3*p - 21 + 4, 5*o = -4*p + 15. Solve -p*l = -10*l - t, 0 = t for l. 0 Suppose 2*c - 2 = 2, -2*c + 4 = d. Let g be 57/(d - -3) - 0. Solve 2*p - 4*w = 4, 0 = 4*p + w + g for p. -4 Let y be (2 + -2)*(-2)/(-2). Let q = 0 + y. Solve -2*m - 23 = 3*m + b, -3*m + b - 17 = q for m. -5 Suppose -4*h = 5*l - 22, h - 2*l = -4*l + 7. Solve -3*u = -s - 0*u - 11, h*s = 2*u - 19 for s. -5 Suppose 20 = 2*g - j, -j - 50 = -5*g - 2*j. Solve -5*t = 3*n - 0*n - g, 4*t - 8 = -2*n for t. 2 Let w(h) = h + 4. Let z be w(4). Let j = -7 + 7. Suppose j = -4*y - z, 0*y - y - 8 = -3*v. Solve -4*t - 2*c + 6 = 0, -5*t + 3*c + 11 = -v for t. 2 Let m(p) = -4*p**3 + 2*p**2 - p + 1. Let l be m(2). Suppose -s = -3*s - 10. Let d = s - l. Solve 4*a = 3*x - d, 5*x + 4*a - 8 = x for x. 4 Let s be (38/(-8))/((-5)/(-20)). Let m = 37 + s. Solve -2*g = -h - 2, 0*h = -5*h + 2*g - m for h. -4 Let q = 32 - 28. Solve 2*b + q*y = -3*b + 20, 2*b - 5*y + 25 = 0 for b. 0 Suppose -5*g = 2 - 12. Suppose r + g*r - 6 = 0. Let c = -10 - -14. Solve 7 - 3 = 4*q - 3*n, -c*q - r*n + 24 = 0 for q. 4 Suppose -5*z = -0*z - 15. Suppose 0 = 2*p + z*w - 18 + 5, 2*p - 15 = -5*w. Solve 3*f + p*y = -22, -4*f + 2*y + 13 = -f for f. 1 Suppose 0 = 3*n - 2*r - 26, 3*n + r - 11 = 3. Solve -4*x = -f - 5, 2*f - 2 + n = 5*x for f. 3 Suppose 3*q + 9 = 5*x, 2*x - q - 1 = 2. Solve 0*c - 2 = l - c, 5*l + c + 16 = x for l. -3 Let o(c) = -2*c**2 - 3 + 4 - 4*c + 2*c**3 - c**3. Let j = 14 + -10. Let l be o(j). Solve 3*f = -4*n - l, 3*n + 2*f + 0*f + 13 = 0 for n. -5 Let p(m) = m**2 + 14*m - 12. Suppose 5*b = -5*y - 0*b - 60, 2*y + 42 = 4*b. Let s be p(y). Solve -s*z = 4*d + 11, 3*z - 3*d - 21 = z for z. 3 Let i(j) = -j - 2. Let s be i(-4). Let q(z) = 3*z**2 + z - 1. Let r be q(-2). Suppose s*t - r = -1. Solve 5*d - 34 = 3*y - 9, -t*d = 2*y + 2 for y. -5 Let c = 4 + 1. Suppose m - 5*x - 15 = 0, 2*x = -3*m - 2*m + 21. Suppose 10*v - 30 = m*v. Solve -5*h - 3*f + v = -0, -f = c*h - 2 for h. 0 Let p(u) = -u + 12. Let b be p(7). Suppose 0*l - 53 = -b*n + 2*l, 5*n - 5*l = 50. Solve 18 = -2*f - f - 3*k, -2*f - k = n for f. -5 Suppose -q = 2*i, -4*i - 6 = -2*q + 2. Let k = 3 + -1. Let b = 6 - k. Solve -3*g = 5*h - q*g + 12, -12 = -b*g for h. -3 Suppose 0 = z + z. Suppose z = -t - 4*t + 65. Solve 0*k = 5*k + 2*o - t, 15 = 4*k - 3*o for k. 3 Let r(f) = f**3 - 2*f**2 - 3*f + 2. Let h be r(3). Let m = 630 + -623. Solve 3*c + m = 4*p, p + h*c = -p for p. 1 Suppose -12 = -5*v + 13. Suppose 0 = -v*o + 5 + 15. Suppose -3*n = n - 16. Solve 2*i = 6*i - n*z, i + 3*z = -o for i. -1 Let n = 13 - 58. Let z = -32 - n. Let i = -3 + z. Solve 4*d + i = 5*s, -2*s = 7*d - 3*d - 4 for d. 0 Suppose -2*g - 3 = -9. Suppose 0 = -4*f + g*f + 2. Solve 4*c = -2*t - 12, 0 = c - f*c - 2*t for c. -4 Suppose 0*o + 3*x + 14 = o, -2*x - 6 = o. Let v(d) = 14 - 7*d**2 + 6*d**o - 6*d - 5. Let u be v(-7). Solve 0 = -7*f + 2*f - 2*w + 22, 11 = u*f + 3*w for f. 4 Let f = -57 + -19. Let l be f/(-16) + (-1)/(-4). Let d be 4/3*(-24)/(-16). Solve 2*k - d = -2*h, 7 = h - 0*h - l*k for h. 2 Let u = -9 - -16. Let x = -4 - -6. Let p be (2/3)/(x/6). Solve 0 = -2*b - p*j + 18, -2*j + 6 = b - u for b. 5 Suppose d - 5 = -4. Let i = d + 3. Solve w = p + 6, 0*w + 3 = -i*w - 5*p for w. 3 Let k be 8/(-12) - (-4)/(-3). Let m be k/(-9) - 68/(-18). Let i(p) = -4*p - 7. Let d be i(-5). Solve -3*j = -m*h + 2*h - 12, d = -j - 5*h for j. 2 Let t be (((-75)/6)/5)/(2/(-8)). Solve 5*h = -4*d + d + 25, -2*h = 3*d - t for h. 5 Let b(n) = 5*n + 10*n**2 + n**3 + n**2 - 4*n**2 + n. Let s be (5/(-4))/((-2)/(-8)). Let x be b(s). Solve 0 = -y + 5*y + 4*j, -x = y - 3*j for y. -5 Suppose -9 = -2*f - 1. Suppose 3*a = -4*b + 18, 5*a = f*a + 4*b - 10. Suppose z - 6 = -a*z. Solve 2*m = -z*l - 8, 3*m - 18 = 5*l - 2*l for m. 1 Let n = 1 - 4. Let u be n/(-3)*0/(-1). Suppose u = t - 3 - 2. Solve -r + 5*h = -3*r - t, -4*r = -5*h - 35 for r. 5 Let i be 4*(-3 + (-21)/(-6)). Suppose -5 - 11 = -i*u. Solve -6*b - 5 = -b - 5*f, 4*b = -2*f + u for b. 1 Let j = -6 - -8. Suppose j*y - 6 = 10. Let w = y - 8. Solve w = -3*v - 2*n + 13, -2*n = 2*v - 5*v + 5 for v. 3 Suppose -7*j = -12 - 2. Let o be -1 - 0 - (-1 + -5). Solve -6 - 9 = j*c - o*h, 13 = -3*c - 2*h for c. -5 Let f(r) = r**3 - 3*r**2 + 4*r - 2. Let g be f(2). Solve -4*c - 2*l - 23 = -3*l, -g*c - 16 = -2*l for c. -5 Let u be 654/(-33) + 6/(-33). Let h = u - -35. Suppose -i + 2*b + h = 0, 0 = 4*i - 4*b - 63 + 3. Solve 0*n + 5*n - 23 = -g, 5*g - i = 0 for n. 4 Let j(y) = -y**3 + 2*y**2 + 4*y. Let r be j(3). Solve 3*w - 4*w = 5*h - 3, -r*w - 3*h = -9 for w. 3 Let s be (-32)/(5/(15/(-6))). Solve -5*c - s = -r, -3*c = -4*r - 3 + 16 for r. 1 Let d = -13 - -18. Let v(l) = -l**2 + 5*l - 4. Suppose 2*s - 2 = -4*a + 4*s, 25 = 5*s. Let n be v(a). Solve 3*w = -3*r - 18, -w = d*r + n + 8 for r. -1 Let r = 4 + 0. Suppose -z + r*z = 0. Solve -5*f + 20 = 0, z*a + 5*f = -a + 23 for a. 3 Let a = 30 + -50. Let m be (-5)/a + (-59)/(-4). Suppose m = 2*z + 3*b, 4*b - 10 - 10 = 0. Solve -5*n = -2*k - 17, -2*n + 2 = -z*n - 2*k for n. 5 Let d(x) = -2*x + 1. Let w be d(-2). Suppose -3*k + 0*k + 5*v + 10 = 0, 4*k = -4*v + 24. Solve -2*a - k = w*t, 1 + 0 = a - t for a. 0 Let c = 34 + -27. Solve -5*y - 15 = -2*k, -2*k + 3*y - 30 = c*y for k. -5 Let z(h) = -3*h - 1. Let f be z(-2). Suppose -f*j + 10 = -0*j. Solve -4*g - 2 - 6 = -5*a, -18 = -j*g - 3*a for g. 3 Suppose 0 = z - 3. Suppose -2*k - 3*y = -8, 0*k = -5*k + 3*y + 62. Suppose z*o = -2*o + k. Solve o*j + u - 3*u - 6 = 0, 5*j + 20 = -2*u for j. -2 Suppose -l + f + 6 = 0, -2 = l - 2*f - f. Suppose 0 = -g - 4*g + l. Solve t + g*q + 8 = 0, -2*t + 6*q = q - 29 for t. 2 Let n(y) = -y**2 - y. Let j(h) = 4*h**2 - 3*h + 1. Let m(b) = -j(b) - 5*n(b). Let u be m(-10). Solve -2*o - 3*f = -u, -3*f + 0*f - 11 = -4*o for o. 5 Suppose k = -k - 4. Let h(r) = -3*r - 19. Let m be h(-8). Let v = k + m. Solve 2*p + 2 = 2*x, -3*x + v*p + 5 = -x for x. -2 Suppose -3*l + 5*l - 5*o - 46 = 0, -l - 4*o + 36 = 0. Let k = -39 - -43. Solve -18 = 5*p - 2*u, -3*u = k*p - 8*u + l for p. -2 Suppose -3*h - 3*z = -6, 4 = -3*h - 9*z + 4*z. Solve 0 = 2*r - k + h, 0*r + 4*k + 12 = -2*r for r. -4 Suppose -5*l - 1 + 10 = 3*b, 5*b = 15. Let a(x) = -x**2 + 5*x. Let f be a(5). Let u = l + f. Solve 0 = -5*z + 3*c - 22, -3*z - z - 4*c - 24 = u for z. -5 Let g = 153 + -148. Solve 2*v + 4*f = 4, 0*v - g*f = 5*v for v. -2 Let b(s) = -4*s. Let d be b(-4). Suppose -5*w - 22 = 5*k + 48, 4*w + 47 = -3*k. Let m = k + d. Solve 5*v - 15 = 0, 3*t - 3*v + m = 1 for t. 1 Let f(v) = -4*v + 3. Let s be f(2). Let l be (-5 - -2)*(s + 4). Solve -3*z = -l*t + 6*t - 15, -2*z + 5*t = 18 for z. 1 Let q = -9 + 51. Let z be 2/(-8) + q/8. Solve 0 = -3*y - y - z*j - 5, -10 = -y + j for y. 5 Suppose 0 = 6*r - 3*r - 45. Let n = 24 + -27. Let o be 63/r - n/(-15). Solve 12 = m + 2*q, m + o*q = 6*q - 8 for m. 2 Let a(d) = d**2 + d + 2. Let u be a(0). Suppose q - 2 = 1. Let g be 5*(q/5 + 0). Solve 5*p = 3*n + g, 7 = 4*n - p - u*p for n. 4 Let m(i) = -i - 1. Let q = 7 - 10. Let b be m(q). Solve -3*z + 7 = -l - l, -b*l + 13 = z for l. 4 Suppose -x = -4*x - 15, 25 = 2*b - 5*x. Solve 2*d = -d - 3*m - 9, -5*m - 10 = b for d. -1 Let o(p) be the first derivative of -p**2 + 12*p - 2. Let u be o(5). Suppose 0*a + 12 = 3*a. Solve -a*y + 22 = -0*s - u*s, -1 = 2*y + 3*s for y. 4 Let v be 440/70 - 2/7. Let g be 2/v + 35/3. Let x be ((-3)/g - -1)*12. Solve 2*h -
{ "pile_set_name": "DM Mathematics" }
) -3 (f) 0.4 (g) -0.03 g What is the fourth smallest value in -0.61, 0, -51/10, 3, -56, -3? -0.61 Which is the third smallest value? (a) 4/5 (b) 3 (c) -18.2322 (d) -14/19 a What is the biggest value in -7015, -1, -0.098? -0.098 Which is the second biggest value? (a) 554 (b) 0.2 (c) 0.2922 c Which is the third smallest value? (a) -0.2 (b) 81/7 (c) -2/29903 (d) 3 (e) -4 (f) 1/4 c What is the third smallest value in -1/4, 1/10, 2734? 2734 What is the fifth biggest value in 0.5, -6, -0.9, 1383, -0.1, 173? -0.9 What is the biggest value in -931957, 2, 4/47? 2 What is the smallest value in 83066, 280, -0.5, -3? -3 What is the fifth biggest value in 2/3, 0.401, 38/63, 0, 2/9? 0 Which is the seventh biggest value? (a) -64 (b) 4 (c) -4 (d) 3/5 (e) -8 (f) 2/7 (g) 0.2 a Which is the smallest value? (a) 5 (b) 2 (c) 4/6903565 c Which is the third smallest value? (a) -0.0169263 (b) 38 (c) -0.3 b What is the biggest value in 0.1, 36, 1.186004? 36 Which is the fifth biggest value? (a) 4 (b) -3 (c) 1 (d) -2/13 (e) -1325 (f) -1/33 (g) -1 g What is the third smallest value in -0.2, -72, 3/7, -0.5, -24/455? -0.2 What is the fifth smallest value in 9, 39636, -2/9, -1/5, -5, 0.11, 2/9? 2/9 What is the second biggest value in 2/3, 3/2, 4.2, 1507, -7? 4.2 Which is the biggest value? (a) 121 (b) 4 (c) -1 (d) -24/5 a Which is the smallest value? (a) -1 (b) -562/41 (c) -170 c Which is the second smallest value? (a) -0.2 (b) 12972 (c) 26 c What is the second smallest value in 9, -4, -1/24, -0.9, -0.2, 42, 26? -0.9 Which is the fourth biggest value? (a) 3 (b) -1/5 (c) -0.3 (d) -5 (e) 3058 (f) -2 (g) 0.0274 b Which is the second biggest value? (a) -8 (b) -43228 (c) -2/7 a What is the smallest value in 42, 2.32, 2, -9/13? -9/13 Which is the fourth biggest value? (a) 0.9 (b) 4 (c) -8780/7 (d) -2/5 (e) 1 d Which is the fifth smallest value? (a) -0.261 (b) -2/7 (c) 1/6 (d) 13568 (e) -0.2 (f) 0.2 f Which is the third smallest value? (a) -3467 (b) -0.11 (c) 366 c What is the second smallest value in -1/3, -0.4, -1, 0.1, 0.27, 53, -0.064? -0.4 What is the second smallest value in 126, 17/4, -10, 5, -0.2? -0.2 Which is the fourth smallest value? (a) -0.2 (b) -1/55 (c) 4 (d) -2/33305 c Which is the biggest value? (a) -31 (b) 226 (c) -143/2 b Which is the third smallest value? (a) -19.198 (b) 1.4 (c) -1/7 b Which is the second biggest value? (a) 3.4 (b) -2/21 (c) -6 (d) -2.66 b Which is the third smallest value? (a) 1/2 (b) 0.12 (c) -0.05 (d) 0.2 (e) -6/5 (f) 0.3 (g) -5 c Which is the smallest value? (a) 2/129 (b) -0.5 (c) -20 (d) -2/5 (e) 24/5 c Which is the second biggest value? (a) -5 (b) 67742 (c) 2 (d) -9/4 c What is the biggest value in -2, -115, 0.5, -14/13, 3/2, 5? 5 Which is the smallest value? (a) -3 (b) -0.3 (c) 0.02 (d) 303 (e) -0.5 (f) 35 a What is the second biggest value in -5, 1/5, -20604190/7? -5 Which is the third biggest value? (a) 7 (b) 243.9 (c) -24/25 (d) -6 c What is the smallest value in 10, 0.2, -3, 13, 14, -4, -5? -5 What is the third biggest value in -596, -44, 10, -14? -44 What is the seventh biggest value in 4/7, 4967, 1, 4, 37, -3/4, -0.5? -3/4 What is the second smallest value in 0.9, 0, -5, -8, -0.1143, 0.3? -5 Which is the biggest value? (a) -1/7 (b) 3 (c) -1 (d) 1845.4 (e) -1/9 d Which is the third smallest value? (a) -60031 (b) 3/2 (c) -62.4 b What is the biggest value in 0.3, 1, -9357, 1/26? 1 What is the fourth smallest value in 5, -1/3, -44, 914.3? 914.3 Which is the sixth biggest value? (a) 329 (b) -1/4 (c) -0.3 (d) 0.096 (e) -1 (f) 0.3 e What is the sixth smallest value in -3, 510, 0.3, -3/7, -0.12, 2.5, 2? 2.5 Which is the sixth smallest value? (a) 2 (b) 0 (c) 8/7 (d) 2/7 (e) 5137 (f) -0.5 e Which is the fifth smallest value? (a) 3 (b) 0.1 (c) 10 (d) 7 (e) 1/8 (f) -2/7 (g) 90 d Which is the second biggest value? (a) -2.3 (b) 7.1 (c) -903 (d) -2/3 (e) 2/7 (f) -13 (g) -0.2 e What is the second smallest value in 9/7, 4/89, -12, 29/3? 4/89 What is the third smallest value in 17, -0.7, 3, -3475? 3 Which is the third biggest value? (a) 0.03 (b) 2/3 (c) 6 (d) -380 (e) -156 a What is the fifth smallest value in -35, -0.5, -1, 223, 2, 1/3? 2 Which is the fourth biggest value? (a) -4 (b) 4 (c) 0.018 (d) 76556 a Which is the biggest value? (a) -0.3 (b) -10 (c) -2/81 (d) 4 (e) 0.6 (f) 6 (g) -0.08 f What is the smallest value in -59, -5, -1/3, -2/11, 87, -246? -246 What is the third smallest value in 2/9, 0.2, -1.5858, -5.87? 0.2 Which is the sixth biggest value? (a) 4/783 (b) 3/5 (c) -2 (d) -1/2 (e) 0.4 (f) 0.5 (g) -0.4 d Which is the fifth smallest value? (a) -5 (b) 2 (c) -0.12 (d) 3 (e) 21 (f) 0.1 (g) 0 b What is the smallest value in -3/5, -7977, 2, 1, 3, -31? -7977 What is the biggest value in -1/3, 9/704, 0.6, 0? 0.6 Which is the smallest value? (a) 76 (b) -5 (c) 1 (d) 2/3 (e) 0.3 (f) 29 b Which is the second biggest value? (a) -3 (b) 2/9 (c) 226.403 (d) -5 b What is the biggest value in -2/11, 37, -97.93? 37 Which is the third smallest value? (a) 1634 (b) 0.05 (c) 1 (d) 5/12 (e) -18 d What is the fourth smallest value in -4/11, -2/3, -2, 41656? 41656 What is the fourth smallest value in -3007, -9, 0, 2/7, 3, -4/5? 0 What is the third biggest value in 4, 5, -0.1, -12, 0.1, -3080? 0.1 What is the smallest value in 32/11, 8, -0.1, -1.3? -1.3 Which is the fifth biggest value? (a) 1 (b) 0.4 (c) 1/2 (d) -3/97 (e) 4/9 (f) 14 b Which is the smallest value? (a) 1 (b) 2 (c) -2/9 (d) 1/4 (e) 101/34 (f) 5 (g) 18 c Which is the fourth biggest value? (a) 0 (b) 64/3 (c) 1/16 (d) -0.3 (e) -22 (f) 3 (g) 1/3 c Which is the fifth smallest value? (a) 3/2 (b) -6 (c) -0.1 (d) 2 (e) -21 (f) -7217 a What is the fifth biggest value in 13, 7/19, -2, 1.8, -2/7, 1/3, 0.4? 1/3 What is the second biggest value in 5, -3, 4/7, 0.1, -0.4, -116, 9? 5 Which is the biggest value? (a) -0.3 (b) -15494/3 (c) -0.05 c What is the second biggest value in 65852, -0.9, 1/91, 0? 1/91 What is the third smallest value in -105, 0.14, 10/753? 0.14 Which is the second biggest value? (a) 0.3 (b) -61 (c) 1 (d) 0.2 a Which is the biggest value? (a) -6/11 (b) 336 (c) 41664 c What is the fourth biggest value in 3, 4, 0.5, -0.38, -2544? -0.38 What is the second biggest value in -6, -8251, 6, 2/9? 2/9 What is the third smallest value in -30.3, 40, 7/4, 9, -1/4? 7/4 What is the third smallest value in 1/3, -713, 0, -59, 0.2, 1? 0 What is the fifth biggest value in -150, 2/9, -8, -1, 1/3, 6/79, 1? -1 Which is the sixth biggest value? (a) 2 (b) -0.4 (c) -0.3 (d) -4 (e) 211258 (f) 0.3 d Which is the fifth biggest value? (a) -2/133 (b) 1/6 (c) -4/19 (d) 0.05 (e) -1 (f) -0.2 c What is the fourth smallest value in 8/11, 2/11, 5, -856392, -1? 8/11 What is the smallest value in 111, 0.398, 6/269? 6/269 What is the third smallest value in 0.4, 2/13, 922, 18? 18 Which is the second smallest value? (a) -1119 (b) -6 (c) 2/305 (d) -1/7 b Which is the sixth smallest value? (a) -0.1 (b) -3 (c) 10/3 (d) -56 (e) -11 (f) 5/2 c Which is the second biggest value? (a) -1 (b) 2755654 (c) 1 c Which is the third biggest value? (a) 13 (b) -2/21 (c) -5210/9 (d) -0.35 d What is the third biggest value in -75, 0.01, -4/5, 18, -2, -3? -4/5 What is the third smallest value in 11, -4, 0.1, -20, 131? 0.1 What is the second biggest value in 0, 300.9, 4, 0.4, -4, 1/3? 4 What is the second biggest value in 580, 2/3, -5/6, -0.05, 0, -0.1? 2/3 Which is the seventh biggest value? (a) -2 (b) 2/13 (c) 1 (d) -3/7 (e) -4 (f) -7059 (g) 38 f Which is the biggest value? (a) 13144 (b) -0.038 (c) 2/25 a Which is the fifth biggest value? (a) -4 (b) -4/3 (c) 0.2 (d) -1/2 (e) -4/209 (f) -1/2059 (g) 1/4 d What is the fourth biggest value in 0, -952628, 3/5, 6/5? -952628 Which is the third biggest value? (a) -0.03 (b) 0.35 (c) 0 (d) -1.9186 (e) 5 c Which is the third smallest value? (a) 1/7 (b) 672 (c) -2/1105 (d) 3 (e) 0.3 e What is the second smallest value in 1/4, 12, -2799, -9/5, 3? -9/5 What is the second biggest value in -5, 50/111, 2/11, 0.3, -0.3, 0.4, 2? 50/111 Which
{ "pile_set_name": "DM Mathematics" }
ct the terms in -389540*q**2 - q**3 - 119 + 389540*q**2 - 308. -q**3 - 427 Collect the terms in 235*w - 6*w**2 - 6 - 8 - 119*w - 110*w + 14. -6*w**2 + 6*w Collect the terms in 4*i + 415*i**2 + 0*i + 1 + 14*i + 50*i. 415*i**2 + 68*i + 1 Collect the terms in -10813908 + 3*k + 10813908. 3*k Collect the terms in -9094*h**2 - 9093*h**2 + 36364*h**2 - 9091*h**2 - 9086*h**2 - 2*h**3. -2*h**3 Collect the terms in 43641 - 43641 - 163*z. -163*z Collect the terms in -4125*g**2 + 4507*g**2 + 6734*g**2. 7116*g**2 Collect the terms in 38003 - 2*d**3 + d**2 - 7765*d - 38003. -2*d**3 + d**2 - 7765*d Collect the terms in 2 - 3 - 427342*t + 427353*t - 1. 11*t - 2 Collect the terms in -3*l**2 + l - 4*l**2 + 0 + 0 - 5 - 2*l**2. -9*l**2 + l - 5 Collect the terms in -198801*x**2 - 137671*x**2 - 23905*x**2 - 97618*x**2. -457995*x**2 Collect the terms in -7 + 16 + 31 - 40 + 90713*p**2. 90713*p**2 Collect the terms in 78289*u - 78289*u - 334291*u**3. -334291*u**3 Collect the terms in h - h + 316827635340*h**2 - 316827635339*h**2. h**2 Collect the terms in 4567*j**2 + 12*j - 4644*j**2 + 2 + 2. -77*j**2 + 12*j + 4 Collect the terms in -3184*q + 1091*q + 1071*q + 1022*q + 8*q**2. 8*q**2 Collect the terms in 12622689 - 12622689 + 5*b. 5*b Collect the terms in 101803*u - 5275*u + 48278*u + 24576*u. 169382*u Collect the terms in -2 + 80*q + 87*q + 81*q + 178*q - 420*q. 6*q - 2 Collect the terms in -13*n + 9*n + 67017*n**2 - 67025*n**2 + 38*n. -8*n**2 + 34*n Collect the terms in -6619404 - 2*d**2 + 6619476 + d**2 + 0*d**2. -d**2 + 72 Collect the terms in -2301805 - 111004*y + 2301805. -111004*y Collect the terms in -7119 + 14226 + 1439*u - 7107. 1439*u Collect the terms in -16 + 78 - 74*w - 19 - 17 - 21 + 84*w. 10*w + 5 Collect the terms in -189261*y - 3 + 3 + 189256*y. -5*y Collect the terms in 106*w + 3 + 0*w**2 - 6*w**2 + 175*w**3 + 5*w**2. 175*w**3 - w**2 + 106*w + 3 Collect the terms in 12013*x + 14535*x + 25303*x - 2488*x. 49363*x Collect the terms in 234 - 6*k**2 + 4*k**2 + 225 - 459 + 298*k**3 + 160*k**3. 458*k**3 - 2*k**2 Collect the terms in -9 - 251*q - 503*q + 52*q. -702*q - 9 Collect the terms in -3 - 14395*r - 5170*r - 1704*r + 3. -21269*r Collect the terms in 6*b + 684 + 4*b - 11247*b**2 - 686. -11247*b**2 + 10*b - 2 Collect the terms in -42807*o**2 + 5390 - 42816*o**2 + 85627*o**2 - 5390. 4*o**2 Collect the terms in -2*n + 10*n**2 - n**2 + 5*n**2 + 38*n**3 - 14*n**2. 38*n**3 - 2*n Collect the terms in -287097 - 2*f - 276484 + 563581. -2*f Collect the terms in 79*j**3 + 148*j**2 - 398*j**2 + 148*j**2 - 89*j**3 + 102*j**2 - 9*j. -10*j**3 - 9*j Collect the terms in -8 - 3 - 11112*z**2 - 59*z + 11116*z**2. 4*z**2 - 59*z - 11 Collect the terms in 112139*g**2 - 26*g + 26*g - 2 + 49710*g**2. 161849*g**2 - 2 Collect the terms in -361*i**2 + 660*i**3 - 2 + 663*i**3 - 1322*i**3 + 2. i**3 - 361*i**2 Collect the terms in -23898930*y**2 + 5*y - 3*y + 23898893*y**2 - 2*y. -37*y**2 Collect the terms in -22871472623*y + 22871472623*y - 25*y**3. -25*y**3 Collect the terms in 56401*l**2 + 3*l + 56390*l**2 - 112818*l**2. -27*l**2 + 3*l Collect the terms in -1039*p - 1087*p + 3268*p - 1111*p. 31*p Collect the terms in 153 + 71 + 10*s + 7*s + 3*s. 20*s + 224 Collect the terms in 8 - 34 - 92*g - 98 + 12. -92*g - 112 Collect the terms in 31353*g**2 - 62395*g**2 + 31039*g**2 - 22. -3*g**2 - 22 Collect the terms in 16573 + 19*z - 31848 + 15275. 19*z Collect the terms in 9*i + 8*i - 9 + 13*i - 13*i - 4*i + 15*i. 28*i - 9 Collect the terms in 1111*h - 589*h - 6936*h. -6414*h Collect the terms in -3329*r + 10 + 1669*r + 1662*r - 3 - 7. 2*r Collect the terms in 1761462 - 1761462 - 7*m**2. -7*m**2 Collect the terms in 1123*s + 1184*s + 1198*s + 1181*s + 1110*s - 5991*s. -195*s Collect the terms in 174*b**2 + 9*b**3 + 38*b**2 - 331*b**2 + 118*b**2. 9*b**3 - b**2 Collect the terms in 308*l**2 + 2840*l**2 + 4170*l**2. 7318*l**2 Collect the terms in 430 + 482 + 421 - 2*j - 1333. -2*j Collect the terms in 437399958*p - 437399958*p + 101*p**2. 101*p**2 Collect the terms in 2601 - 1300 + 4357*s - 2*s**2 - 1303 + 4*s**2. 2*s**2 + 4357*s - 2 Collect the terms in -3*c**2 + 289479204*c**3 + c - 289479199*c**3 - c. 5*c**3 - 3*c**2 Collect the terms in -22542 + 8515*b + 22545 - 8498*b. 17*b + 3 Collect the terms in 9869*h + 0 + 0 - 4871*h - 5024*h. -26*h Collect the terms in 13*z**3 - 11 + 8*z**3 - 3*z**2 + 14*z**2 - 11*z**2. 21*z**3 - 11 Collect the terms in 280 + 40 - 94 - 46*i + 281. -46*i + 507 Collect the terms in -1314*n**3 - 1008233 + 1008233. -1314*n**3 Collect the terms in -1005455 + 1005455 - 5*w**2 + 119*w**2. 114*w**2 Collect the terms in 66 - 120 + a**3 - 149*a - 190*a + 339*a + 63. a**3 + 9 Collect the terms in -68507 - l - 67172 + 135679. -l Collect the terms in -14957*t**3 + 28*t**2 - 8 - 5 - 28*t**2 + 16. -14957*t**3 + 3 Collect the terms in -2381 - 4*f - 2366 - f + 4950. -5*f + 203 Collect the terms in -123764 + 22*p + 36*p - 67*p + 123762 + 35*p. 26*p - 2 Collect the terms in -2*n**2 - 846 - 27*n**2 - 848 + 3374 - 833 - 852. -29*n**2 - 5 Collect the terms in 61*a**2 - 969*a**2 - 3 + 929*a**2. 21*a**2 - 3 Collect the terms in 34*g**2 + 292*g - 893*g + 306*g + 291*g. 34*g**2 - 4*g Collect the terms in -4*z + 236 + 7798 - 8034. -4*z Collect the terms in 221*n + 98*n + 12 - 12 - 403*n + 83*n. -n Collect the terms in -3135*m - 3607*m**2 + 6284*m - 3149*m. -3607*m**2 Collect the terms in -102*k - 2412*k - 2809*k + 22*k. -5301*k Collect the terms in -260*r - 115 + 45 + 70. -260*r Collect the terms in -4714*r**2 - r + 2*r + 5332*r**2 + 2*r**3. 2*r**3 + 618*r**2 + r Collect the terms in 388081*t + 221975*t + 12165 - 12165. 610056*t Collect the terms in -2 + 285126*a + 2 - 285374*a. -248*a Collect the terms in -595*y**3 - 1182*y**3 + 276*y**3 - 699*y**3 - 33*y**3. -2233*y**3 Collect the terms in -661 - s**2 - 238 - s**2 - 748. -2*s**2 - 1647 Collect the terms in -7496*j + 2637*j - 3 + 2632*j + 2621*j. 394*j - 3 Collect the terms in 348*m + m**3 - 25*m**2 - 362*m**2 + 116*m. m**3 - 387*m**2 + 464*m Collect the terms in -73315*c - 73325*c + 146640*c + 2274*c**2. 2274*c**2 Collect the terms in 8721429199992*r + 0*r**3 - 8721429199992*r - 12*r**3. -12*r**3 Collect the terms in 5*p**3 - 14*p**3 - 1589*p - 153 + 1589*p. -9*p**3 - 153 Collect the terms in a - a + 601071483*a**2 - 601071484*a**2. -a**2 Collect the terms in 478 + 232*t + 472 + 104*t - 950. 336*t Collect the terms in -5191 - 1638 - 29*q - 78*q. -107*q - 6829 Collect the terms in -166*i**2 - 541 + 170*i**2 + 339 + 202. 4*i**2 Collect the terms in 25*g**2 - 69*g**2 + 14*g**2 + 23*g**2 + 16*g**2. 9*g**2 Collect the terms in -4692829*m**2 + 9385692*m**2 + m**3 - 4692780*m**2. m**3 + 83*m**2 Collect the terms in -203*p - 144*p + 4 + 505*p - 4 - 162*p. -4*p Collect the terms in 4625319*j**2 + 4625328*j**2 + 4625318*j**2 - 13875963*j**2. 2*j**2 Collect the terms in 134*q + 60*q + 64*q - 353*q + 67*q. -28*q Collect the terms in -2766*n**2 - 2779*n**2 - 3706*n**2 + 2787*n**2. -6464*n**2 Collect the terms in 2 + 68191*n**3 - 34130*n**3 + 6 - 34130*n**3. -69*n**3 + 8 Collect the terms in 86*c - 13*c**3 + 163*c - 248*c - 4*c**3. -17*c**3 + c Collect the terms in -4501*r + 196291*r**2 + 8997*r - 4496*r - 196278*r**2. 13*r**2 Collect the terms in -2625*i**2 - 657*i**2 - 672*i**2 + 3946*i**2. -8*i**2 Collect the terms in 82631*z + 125653*z + 16849*z. 225133*z Collect the terms in 708*u**3 + 733*u**3 - 3565*u**3 + 706*u**3 + 710*u**3 + 707*u**3. -u**3 Collect the terms in 2 + 34413*a**2 - 13513*a**2 - 2 + 0. 20900*a**2 Collect the terms in -204 - 3*h + 58*h**2 - 24*h**2 - 20*h**2 + 7. 14*h**2 - 3*h - 197 Collect the terms in 8888266006 - 8888266006 - 15*c. -15*c Collect the terms in -1 - 61*c + 1287*c**2 + 1184*c**2 + 1 - 2481*c**2. -10*c**2 - 61*c Collect the terms in -21822657*y**3 + 21822662*y**3 - 19*y**2 - y + y. 5*y**3 - 19*y**2 Collect the terms in -610*k + 335*k + 449*k. 174*k Collect the terms in -58 + 228 - 69 - b - 60 - 40. -b + 1 Collect the terms in -164745*w**3 + 82007*w**3 + 88200*w**3. 5462*w**3 Collect the terms in -44390 + 22216 + 18*y**2 + 22242. 18*y**2 + 68 Collect the terms in 845 + 884 - 1686 - 38*g**2 + 17*g**2. -21*g**2 + 43 Collect the terms in -155*y**3 + 432*y**3 + 321*y**3. 598*y**3 Collect the terms in 1523159*l - 30
{ "pile_set_name": "DM Mathematics" }
-130*u Expand ((-t**4 + t**4 + t**4)*(-1 + 2 + 0) + 0*t**4 - 4*t**4 + 5*t**4)*((-3 - 2 + 12)*(0 + 1 - 2) + 9 - 16 - 7). -42*t**4 Expand -3 - 2*t + 3 + 2*t - 3*t + 2*t + (t - 2*t + 3*t)*(-1 + 1 - 1) + (2 + 0 - 3)*(-71 - 69 + 158)*(0*t - t + 0*t). 15*t Expand 11*y + y + 18*y + 2*y - 3*y - y + (-y + y - 2*y)*(0 + 4 - 3) + 1 - 1 - 2*y. 24*y Expand -o**3 + 1 + 10 + 4 + (0*o + 0*o - 2*o**3)*(-2 + 0 - 1) + 5 - 5 + 2*o**3. 7*o**3 + 15 Expand ((29 - 29 - 18)*(t - 7*t + 2*t) - t + 3*t - 5*t)*(3 - 1 - 1). 69*t Expand 21*z**4 - 17*z**4 + 17*z**4 + (-2*z**2 + 0*z**2 + 0*z**2)*(4*z**2 - z**2 + z**2) + 1 - z**4 - 1. 12*z**4 Expand -4*h**2 + 4*h**2 - 2*h**3 + (-3 + h + 3)*(-h**2 + h - h) + 9*h**3 + h**3 + 2*h**3 + (2*h + h - 5*h)*(-6 + 3*h**2 + 6). 3*h**3 Expand 0*f**4 + f**4 - 10*f**4 + (f + 0 + 0)*(-7*f**3 + 5*f**3 + 7*f**3). -4*f**4 Expand (-152*q**2 - 193*q**2 - 264*q**2)*(3*q**3 - 4 + 4). -1827*q**5 Expand (4 + 1 - 4)*(-m**5 + 2*m - 2*m + 0*m**5 + 0*m**5 - m**5 + (4 - m - 4)*(4*m**4 - 3*m**4 + 2*m**4)) + (1 - 1 + 4*m)*(-2*m**4 - 2*m**4 + 2*m**4). -13*m**5 Expand (3*k - 4*k + 0*k)*(-28*k - 1 + 57*k + 0)*(-k + k**2 + k) + (-k - 4 + 4)*(-k**3 - 2*k**3 + 2*k**3). -28*k**4 + k**3 Expand ((-4 + 5 - 3)*(2 - 2 + 1) + (0 - 2 + 4)*(-10 - 21 + 9))*(5*d - 5*d + d**2). -46*d**2 Expand (-1 - 1 - 3)*(-w**4 + 3*w**4 - w**4 + (2*w - 6*w + w)*(12 - 2*w**3 - 12)). -35*w**4 Expand (-248*w**3 + 56*w - 5*w + 247*w**3)*(4 - 4 - 2) + 0*w**3 - w**3 + 3*w**3 + (w + 0*w - 2*w)*(2*w**2 - 3*w**2 - w**2). 6*w**3 - 102*w Expand -y - y + 3*y + (-4 - 2 - 5)*(-11*y - 11*y + 10*y). 133*y Expand (-4*o - 6*o + 4*o)*(3 - o - 3) + (-2*o - 3*o**2 + 2*o)*(-7 + 1 - 2). 30*o**2 Expand (0 + 3*r + 0)*(11 - 96 - 21 - 35). -423*r Expand (1 - c - 1)*(2*c**3 - 11345*c**2 + 11345*c**2 + 32*c). -2*c**4 - 32*c**2 Expand (-j**2 + 2*j**2 - 3*j**2)*(0*j**2 - 4*j**2 + 2*j**2) - 449*j**2 + 0*j**4 + 2*j**4 + 451*j**2 - 68*j**3. 6*j**4 - 68*j**3 + 2*j**2 Expand (4*q**4 - 3*q**4 - 2*q**4)*(-3 + 4256*q - 2 - 4258*q). 2*q**5 + 5*q**4 Expand (0 + 3 - 1)*(0 + 4 - 2)*(-38*c - 15*c + 5*c). -192*c Expand (13 - 7 - 2*q - q + q**2)*(6*q + 7*q**2 - 6*q). 7*q**4 - 21*q**3 + 42*q**2 Expand ((0 - 6 + 5)*(2 + 0 + 0) + 4 + 0 + 0 + (-1 + 0 - 1)*(1 - 2 + 4))*(-d**5 - 2*d**5 + 5*d**5). -8*d**5 Expand (-189 + 189 + 61*a)*((0*a**2 + 0*a**2 + 3*a**2)*(-1 + 1 + 2) - a + 2*a**2 + a). 488*a**3 Expand -3*d**3 - 18*d**3 + 4*d**3 + (-3*d**2 + 5*d**2 + 0*d**2)*(0 + 0 - 2*d) - 2*d**3 + 2*d**3 + d**3. -20*d**3 Expand (5 - 14 + 15)*(-3*b + 5*b + b). 18*b Expand (-7*a**3 + 15*a**3 + 3*a**3)*((-1 + 1 + 1)*(a + a - a) + 0 + a + 0 - 7*a - 10 + 10). -55*a**4 Expand (4*t - 4*t - t)*(0 + 1 + 1)*(t - t + 2*t + (-5*t + t + 3*t)*(-2 - 3 + 3) + 11*t - 2*t + 0*t + (2*t + 1 - 1)*(-5 + 9 + 3)). -54*t**2 Expand (1 + 2 - 1)*(2*a**3 + 1 - 1)*(52*a**2 + 42*a**2 + 74*a**2). 672*a**5 Expand 567 + 2*w**5 + 5*w**2 - 567 + (0*w**3 + 3*w**3 - w**3)*(3*w**2 + 0*w**2 - 6*w**2). -4*w**5 + 5*w**2 Expand (-12 + 20 - 94*l - 7)*(0 - 2 + 3). -94*l + 1 Expand (2 - 1 - 3)*(2 - 2 - 2*m)*((-5 + 3 + 1)*(-3 + 5 + 0) - 3 + 3 - 1 - 8 - 19 + 3 + 0 + 4 + 1). -88*m Expand (-3 + 7*z - 9*z + 2)*(2*z + z - 2*z - 2). -2*z**2 + 3*z + 2 Expand (-333*s - 57*s + 247*s - 629*s - 295*s)*(-3*s + 4*s**2 + 3*s). -4268*s**3 Expand (-350*y - 350*y + 691*y)*(0*y**3 + 5*y**3 + y**3). -54*y**4 Expand (z + z - z)*((0*z - z + 0*z)*(-1 + 0 + 0) - 3*z + 2*z + 8*z)*(-5 + 7*z**3 + 5). 56*z**5 Expand (-k + k + 3*k**2 + (-5*k - 2*k + 3*k)*(4*k - 5*k - 4*k))*(3 - 4 + 5). 92*k**2 Expand 0*j**5 + 4*j**5 - 2*j**5 + 108*j**3 - 108*j**3 + 96*j**5 - 2 + 2 - j**5 + (4*j**4 - 2*j**4 - j**4)*(4*j + 2 - 2). 101*j**5 Expand (-2*v**2 - v**2 + 2*v**2)*(0*v + 3*v - 5*v) + (-2*v + 4*v - 5*v)*(2*v**2 - v + v). -4*v**3 Expand (0 + 0 - h)*(2*h**2 + 3*h - 3*h) + 2*h**3 + h**3 + h**3 + 69*h**3 + 186*h - 186*h. 71*h**3 Expand (-2*j + 3*j - 3*j)*((-2*j + 7*j - 3*j)*(-j + 15*j + 8*j) - j**2 + 0*j**2 - j**2). -84*j**3 Expand (43 - 18*a**3 - 43)*(a - 57 + 59 - 2*a). 18*a**4 - 36*a**3 Expand (-9 - 8 + 0)*(2*v - v**2 + v**2 + v**2). -17*v**2 - 34*v Expand 0*z - z - z**3 - 1 - 1 + (-110*z + 10*z**2 + 110*z)*(5*z + 3*z - 4*z). 39*z**3 - z - 2 Expand (57*f**3 + 74*f**3 - 55*f**3)*(-15 + 15 - f**2). -76*f**5 Expand (-f**3 + 0*f**2 + 0*f**2 + (-2*f - 2*f**3 + 2*f)*(2 + 0 - 6))*(-4*f + 5*f - 19*f). -126*f**4 Expand (3 - 1 + 0)*(31*x - 28*x - 23*x). -40*x Expand -18 - 40*m + 15*m + 15*m + 2*m - 2*m + 2*m + (-2*m - 1 + 1)*(3 - 5 + 0). -4*m - 18 Expand (2*j + j - j)*(2 + 0 - 1) + 5*j - 2*j + 0*j + 98 - 133*j - 98. -128*j Expand (0*h + 2*h**3 + 0*h)*(-6*h + 2*h - h) + h**3 - 5*h**4 - h**3 + 0*h**4 + 5*h**4 - 3*h**4. -13*h**4 Expand 3*u - 5*u**2 - 3*u + (-9*u + 7*u + 3*u)*(1 - u - 1) - 3*u**2 + u**2 + 5*u**2. -3*u**2 Expand (15*b - 3*b - 4*b)*(3 + 1 - 3)*(-1 - 1 + 3)*(0 + 7 + 2) + (-b + 0*b - b)*(-6 + 2 + 2) - b + 5*b - 3*b. 77*b Expand ((-4*j**3 + j**3 + 4*j**3)*(-4 + 0 + 2) + j**3 + j**3 - 3*j**3 - 21*j + 21*j + 7*j**3 + (-j**3 - 2*j**3 + 4*j**3)*(-6 + 1 + 3))*(j - 2*j + 2*j). 2*j**4 Expand (-l**4 - 50120*l**3 + 50120*l**3 - 103)*(-l - l + 4*l). -2*l**5 - 206*l Expand -2*y**5 + 2*y**2 + 0*y**5 + 0*y**5 + (-y - y**3 + y)*(y**2 + 0*y**2 + y**2) + 4*y**5 - 3*y**5 - 2*y**5 + 33*y**5 - 38*y**5 - 66 + 88. -10*y**5 + 2*y**2 + 22 Expand (-8*o + 9*o - 32*o)*(4*o - 2 + 2) + (1 - 1 + 2*o)*(0*o + 0*o + o). -122*o**2 Expand 2*a**2 + a**4 - 2*a**2 - a**4 - a**4 + 3*a**4 + (-3*a + 3*a + 2*a**3)*(-4*a + a + 5*a) + 3*a**3 - 3*a**3 + 3*a**4 + 14*a**4 + 10*a**4 + 5*a**4. 38*a**4 Expand (15*a**2 + a - 38*a**2 + 1 + 33*a**2)*(0 - 2 + 0) + 5*a**2 + 0*a**2 + a**2. -14*a**2 - 2*a - 2 Expand (-3*m**2 + 5*m**2 - 4*m**2)*(3*m**2 - 3*m**2 + 2*m**2) + 2573*m**4 - 4608*m**4 + 2879*m**4. 840*m**4 Expand (-3*o + o + 7*o)*(-3 + 3 + 18*o**3). 90*o**4 Expand (2*b - 5*b + 4*b)*(2 + 2 - 3) + (-196*b + 243*b - 230*b)*(-3 - 1 + 0)*(-1 + 4 - 4) + 0 + 0 + 2*b. -729*b Expand -7 + 0*d + 11 - d + (10*d - 3 + 1 + 0*d)*(2 + 0 - 5). -31*d + 10 Expand x**2 + 2*x**2 - 5*x**2 + 65*x**2 - 288*x**2 + 155*x**2 + (-x + 0*x - x)*(-3*x + 0*x + 5*x). -74*x**2 Expand (27*t + 11 - 11)*((-2 - 2 + 3)*(4 - 4 + 1) - 2 - 2 + 3). -54*t Expand (-2*u - 3*u - 2*u)*(-1 - 3 + 0 + 2 - 2 - 2 + (2 + 5 - 5)*(1 + 1 + 0)). 14*u Expand (2*w**2 + 4*w - 4*w + (3 - 3 - w)*(w - w - w))*(-30*w**2 + 2*w**2 + 80*w**2)*(0*w + 5*w - 4*w). 156*w**5 Expand (2 + 3 - 4)*(494*a**3 - 35*a**3 - 250*a**3). 209*a**3 Expand 8*k**3 - 82 + 82 + ((-k + 2*k - 2*k)*(2 + 3 - 3) + 3*k + 2*k - 6*k + 10*k - 6 + 6)*(-3*k + 3*k - 2*k**2). -6*k**3 Expand (57 + 54 + 125 + 128)*(-2*t**2 - t**2 + t**2). -728*t**2 Expand (7377*k + 4*k**2 - 7474*k + 2 - 5*k**2)*(-k**3 - 2 + 2). k**5 + 97*k**4 - 2*k**3 Expand (9 + 8 - 6)*(2 - 2 + 2*x) + 5*x + 4 + 0 - 3*x. 24*x + 4 Expand (-2*j + 5 - 5)*(-34*j**2 + 5 + 16*j**2 + 16*j**2). 4*j**3 - 10*j Expand (4*y**4 + y**4 - 3*y**4)*(-477 - 70 + 101 - 479). -1850*y**4 Expand (0 + 3*z + 0)*(-5*z**2 + z**2 + 5*z**2 + (z - 2*z + 2*z)*(2*z + 0*z + 0*z) - 5*z**2 + 2*z**2 + 4*z**2 + 7*z**2 - 2*z**2 - 3*z**2 + 504 - 504 + 29*z**2). 105*z**3 Expand (27*b - 35 + 35 + (-4 + 4 + 2)*(3 - 3 - b))*(0*b + 0*b + 2*b). 50*b**2 Expand 2*i**5 - 8*i + 8*i + 12*i - 2*i**5 - i**3 + 3*i**3 - 14*i + (2*i**4 + 0*i**4 + 0*i**4)*(7 - i - 7). -2*i**5 + 2*i**3 - 2*i Expand (-3778 + 3778 - 3*w - 28*w**2)*(-3*w**3 + 3 - 3). 84*w**5 + 9*w**4 Expand (-4*n**2 + 9*n**2 + 5*n**2 - 2*n**2)*(19*n**2 + 22*n**2 - 32*n**2). 72*n**4 Expand (-3*a**2 - a**2 + 2*a**2)*(-4 - 2*a + 4) + (344 - 12*a - 172 - 171)*(-4*a**2 + 0*a**2 + 6*a**2). -20*a**3 + 2*a**2 Expand -31407*y**3 + y**2 - y**2 + 30780*y**3 + (2 + 1 + 0)*(-2*y + 2*y - y**3). -630*y**3 Expand (-1 + 4 + 1)*(200*c + 169*c - 393*c). -96*c Expand ((-a + 4 - 4)*(0*a**3 - 2*a**3 + 3*a**3) + a**4 + 2*a**4 - 5*a**4 - a**4 + 0*a**4 + 2*a**4 + 2*a + a**4 - 2*a)*(-13 + 46 + 13). -46*a**4 Expand (1 + 0 + 2)*(4 - 4 + 2*o**2) - 15*o**2 - 137 + 17*o**2 - 99. 8*o**2 - 236 Expand -3*c**2 - 2*c**3 + 3*c**2 + (3*c + 0*c - 2*c)*(0 - c**2 + 0) + (-2*c + 3*c - 5*c)*(-65*c**2 - 45*c + 45*c). 257*c**3 Expand (6 + 11 + 49)*(-h**4 + 2*h - 2*h). -66*h**4 Expand (5*t**2 - 3*t**2 - t**2)*(-13 - 12 - 8) + (0*t - 3*t - t)*(2*t - 6*t + 3*t). -29*t**2 Expand (3*g + g - 2*g)*(-30 - 276 + 25) - 3*g + 2*g - 1 + 0*g. -563*g - 1 Expand -7*y**
{ "pile_set_name": "DM Mathematics" }
2*b**2 - 157*b + 30. Give z(4). 10 Let b(y) = 4*y**2 - 17*y - 179. Calculate b(-10). 391 Let a(o) = o**2 + 7*o - 315. Calculate a(-21). -21 Let r(v) = -v**3 + 43*v**2 - 337*v - 1119. Determine r(31). -34 Let g(i) = -4021*i + 12056. Calculate g(3). -7 Let b(a) = a**2 + 278*a + 3463. Calculate b(-13). 18 Let y(l) = -6*l - 349. Give y(-23). -211 Let x(f) = -f**3 + 8*f**2 - 7*f - 1. What is x(7)? -1 Let i(c) = 294*c - 12627. Determine i(43). 15 Let q(i) = -i**3 + 13*i**2 + 61*i + 1028. Calculate q(19). 21 Let h(d) = -3*d**3 + 18*d - 15. Determine h(5). -300 Let l(q) = -46*q + 1155. What is l(25)? 5 Let m(j) = -2*j**3 - 15*j**2 + 7*j - 12. Calculate m(-8). -4 Let i(u) = 19*u**2 - 101*u + 95. What is i(4)? -5 Let l(j) = 5*j**2 - 5*j - 54. Calculate l(-3). 6 Let r(a) = -5*a**2 + 13*a + 74. Determine r(-9). -448 Let j(u) = u**3 + 12*u**2 + 54*u + 1147. What is j(-14)? -1 Let p(l) = l**3 - 5*l**2 - 12*l + 57. Give p(5). -3 Let s(d) = d**2 + 43*d - 351. Determine s(7). -1 Let s(j) = 149*j + 17871. Determine s(-120). -9 Let l(c) = c**3 + 6*c**2 + 183*c + 1332. Give l(-7). 2 Let j(z) = 55*z**3 + 73*z - 74. What is j(1)? 54 Let n(b) = b**2 + 309*b + 2408. Determine n(-8). 0 Let m(x) = 4*x - 43. What is m(10)? -3 Let w(c) = -5*c**2 + 12*c + 1. Determine w(1). 8 Let u(q) = q**2 + 63*q + 88. Determine u(-61). -34 Let o(h) = h**3 + 53*h**2 + 271*h - 523. Give o(-47). -6 Let p(f) = 5*f**2 + 500*f + 1443. Determine p(-3). -12 Let g(a) = 7*a**2 - 3*a - 156. Determine g(0). -156 Let c(g) = 31*g**2 - 91*g - 596. What is c(-6)? 1066 Let b(h) = h**3 - 6*h**2 + 15*h - 52. Calculate b(3). -34 Let f(h) = -2583*h + 28456. Determine f(11). 43 Let q(g) = g**2 - 34*g - 237. Give q(-6). 3 Let l(o) = -2*o**2 - 69*o - 214. Give l(-31). 3 Let h(f) = -f**2 + 9*f - 24. Determine h(6). -6 Let n(g) = g**3 + 8*g**2 - 11*g - 36. Calculate n(-11). -278 Let m(n) = -321*n - 3213. Give m(-10). -3 Let j(o) = -3*o**2 - 192*o - 381. Determine j(-2). -9 Let n(s) = -88*s - 24. Determine n(-1). 64 Let t(p) = -300*p - 2648. Give t(-9). 52 Let j(n) = -2*n**2 - 46*n - 385. Determine j(-9). -133 Let i(b) = b**2 - 10*b - 228. Determine i(-10). -28 Let m(b) = -1556*b - 14001. Give m(-9). 3 Let m(s) = -17*s + 979. Calculate m(57). 10 Let d(q) = 146*q + 7436. What is d(-51)? -10 Let t(j) = j**3 + 10*j**2 - 67*j - 667. Determine t(-10). 3 Let p(c) = c**3 - 4*c**2 - 87. What is p(0)? -87 Let m(w) = 5*w**2 - 50*w + 21. Calculate m(10). 21 Let d(g) = g**3 - 6*g**2 + 17*g - 84. Calculate d(5). -24 Let v(o) = 44*o - 38. Give v(0). -38 Let x(w) = w**2 + 36*w - 725. Determine x(14). -25 Let m(d) = -8*d**2 + 303*d + 44. What is m(38)? 6 Let o(u) = 1439*u + 21586. What is o(-15)? 1 Let p(y) = -164*y + 5910. What is p(36)? 6 Let y(c) = 41*c**2 - 167*c - 3130. Give y(11). -6 Let c(m) = 5*m + 167. Calculate c(6). 197 Let f(l) = l**3 - 125*l + 31. Determine f(11). -13 Let v(i) = -i**3 + 56*i**2 + 383*i + 60. Give v(-6). -6 Let s(z) = -z**2 - 165*z - 5686. What is s(-49)? -2 Let z(f) = -5*f + 43. What is z(-6)? 73 Let c(d) = -1870*d - 11242. Give c(-6). -22 Let f(g) = g**3 + 27*g**2 - 15*g - 134. Determine f(-27). 271 Let s(w) = 4*w**2 - 9*w + 13. Give s(2). 11 Let c(u) = u**3 + 69*u**2 + 179*u - 1252. Give c(-66). 2 Let j(b) = -10*b**2 + 47*b - 51. Determine j(2). 3 Let i(q) = -8*q**3 - 24*q**2 - 32*q + 5. Calculate i(-1). 21 Let k(y) = 92*y - 32. Calculate k(1). 60 Let x(v) = -20*v + 303. Give x(21). -117 Let d(i) = 21*i + 270. Give d(-12). 18 Let g(p) = 67*p + 479. Calculate g(-7). 10 Let n(t) = -5*t**2 + 804*t + 177. Calculate n(161). 16 Let q(o) = 1818*o**2 + 10906*o - 19. Give q(-6). -7 Let k(z) = 31*z**3 + 188*z**2 - 23*z - 219. Give k(-6). -9 Let y(o) = -3*o**2 + 155*o - 256. Calculate y(50). -6 Let z(c) = c**2 - 30*c + 245. What is z(21)? 56 Let g(z) = z**2 - 139*z + 560. Determine g(4). 20 Let l(z) = z**3 + 2*z**2 + 4*z + 3. Give l(-6). -165 Let j(q) = -q**3 + 5*q**2 + 5*q + 17. Give j(7). -46 Let j(r) = r**2 - 46*r - 269. Give j(51). -14 Let b(s) = s**3 - 6*s**2 - 15*s + 23. What is b(9)? 131 Let o(v) = -v**2 - 129*v + 2841. Give o(19). 29 Let b(s) = s**2 + 15*s + 43. Give b(-7). -13 Let a(k) = -114*k + 1613. Calculate a(20). -667 Let f(c) = -1332*c - 3989. Calculate f(-3). 7 Let o(f) = -37*f - 492. Give o(-16). 100 Let l(f) = 2*f**2 + 11*f + 156. Calculate l(6). 294 Let a(z) = -z**3 - 21*z**2 - 12*z + 151. Give a(-20). -9 Let y(s) = 25*s + 221. Give y(-8). 21 Let j(u) = -27*u + 241. Calculate j(6). 79 Let n(g) = g**2 - 53*g + 770. Give n(20). 110 Let f(w) = w**3 + 31*w**2 + 25*w + 1827. Calculate f(-32). 3 Let f(c) = -22*c - 389. Calculate f(-25). 161 Let h(v) = -v**3 + 12*v**2 + 41*v - 587. Give h(11). -15 Let l(j) = j**2 + 23*j - 48. What is l(2)? 2 Let w(q) = 2*q**3 - 246*q**2 - 2958*q + 1333. Determine w(134). -7 Let n(a) = -a**3 + a**2 - 108*a + 474. Calculate n(4). -6 Let z(p) = -3*p**2 + 241*p - 4317. Give z(27). 3 Let d(h) = -h**3 + 22*h**2 + 81*h - 6. Calculate d(25). 144 Let o(d) = d**2 - 404*d + 29563. Determine o(96). -5 Let f(w) = 44*w - 1066. Give f(25). 34 Let p(j) = 64*j + 4394. What is p(-69)? -22 Let z(b) = 2*b**3 + 6*b**2 + 24*b + 54. What is z(-3)? -18 Let m(v) = -8*v + 103. Calculate m(-20). 263 Let p(n) = 29*n**2 + 2291*n + 38. What is p(-79)? 38 Let w(f) = -13*f + 47. Determine w(8). -57 Let h(i) = 2*i**3 - 4*i**2 + 2*i + 25. What is h(4)? 97 Let p(n) = -n**2 + 5*n + 30. Determine p(5). 30 Let o(l) = 3*l**2 - 44*l - 131. What is o(-3)? 28 Let t(n) = -2*n**3 - 2*n**2 + 36*n - 34. Give t(3). 2 Let m(h) = 55*h + 24. Calculate m(-1). -31 Let d(n) = n**2 - 672*n - 2022. Give d(-3). 3 Let r(h) = -h**3 - 58*h**2 - 84*h - 1511. What is r(-57)? 28 Let l(g) = 11072*g + 88575. Calculate l(-8). -1 Let x(p) = 5*p - 465. What is x(57)? -180 Let x(c) = -11*c**2 + 157*c - 456. What is x(3)? -84 Let r(x) = -x**2 - 19*x - 9. Calculate r(-1). 9 Let b(n) = -2*n**2 - 64*n + 283. Give b(-36). -5 Let t(x) = 164*x**3 + 12*x**2 - 5*x - 8. Give t(1). 163 Let b(w) = 1720*w + 13799. Determine b(-8). 39 Let k(t) = 34*t**2 + 363*t - 731. What is k(2)? 131 Let n(p) = -4*p**3 + 114*p**2 - 61*p + 7. Calculate n(28). -133 Let x(s) = -s**3 + 7*s**2 + 55*s + 49. Calculate x(12). -11 Let o(r) = 2*r**3 - 11*r**2 + 44*r - 173. Give o(5). 22 Let f(g) = -9*g - 339. Calculate f(-37). -6 Let j(f) = 405*f - 2437. Calculate j(6). -7 Let h(u) = -38*u**2 - 278*u + 2324. What is h(5)? -16 Let k(v) = -v**2 - 534*v - 1059. Determine k(-2). 5 Let b(v) = 75*v**2 - 170*v - 1. Give b(4). 519 Let a(w) = 2*w**3 - 86*w**2 + 80*w + 152. Calculate a(42). -16 Let v(l) = 62*l + 389. Give v(-11). -293 Let j(h) = 5*h**2 + 39*h + 128. What is j(-6)? 74 Let l(g) = 16*g + 3. Give l(-2). -29 Let d(k) = k**3 - 14*k**2 + 18*k - 58. What is d(9)? -301 Let y(i) = i**2 - 52*i + 192. Calculate y(31). -459 Let k(m) = 3*m**2 + 141*m + 713. Determine k(-6). -25 Let w(y) = -2*y**2 - 147*y - 1097. Give w(-65). 8 Let t(a) = -4*a**3 + a**2 - 35*a + 78. Calculate t(2). -20 Let r(b) = -2*b**3 + 8*b**2 + 1044*b - 4179. What is r(4)? -3 Let d(z) = 1392*z + 4180. Determine d(-3). 4 Let w(d) = 2*d**3 - 24*d**2 - 56*d - 14. Determine w(14). -14 Let n(g) = 2*g**2 - 105*g - 291. Determine n(55). -16 Let m(v) = v**3 + 42*v**2 + 429*v + 328. Calculate m(-26). -10 Let m(w) = -77*w**2 + 3*w - 6. Give m(1). -80 Let s(t) = -6*t - 68. Calculate s(-25). 82 Let u(r) = -r**2 - 84*r + 930. Give u(-94). -10 Let p(w) = 872*w - 891. Calculate p(1). -19 Let t(b) = -3*b - 227. Determine t(-39). -110 Let u(a) = -231*a + 473. Calculate u(2). 11 Let v(o) = 3*o**2 - 189*o - 310. What is v(65)? 80 Let q(n) = n**3 + 110*n**2 - 2018*n - 246. What is q(-126)? 6 Let n(b) = -b**2 - 72*b - 739. Determine n(-60). -19 Let h(c) = 19*c - 67. Determine h(16). 237 Let r(g) = -g**3 + 2*g**2 - 5*g - 541. Calculate r(0). -541 Let w(q) = -q**2 + 17*q + 56. Determine w(-3). -4 Let j(b) = -117*b - 22. Give j(0). -22 Let x(p) = -p + 15. What is x(4)? 11 Let f(i) = -29*i**2 + 181*i + 5. What is f(6)? 47 Let z(c) = -27*c + 25. Calculate z(6). -137 Let s(y) = 4*y**2 - 38*y + 1. Give s(10). 21 Let n(x) = -2*x**3 - 11*x**2 + 34*x + 66. Give n(-7). -25 Let l(s) = 6*s**2 - 126*s + 111. Calculate l(22). 243 Let c(p) = -737*p - 2212. Determine c(-3). -1 Let k(l) = 9*l - 277. Determine k(31). 2 Let g(l) = 89*l -
{ "pile_set_name": "DM Mathematics" }
45, 1096. -1/7, 45, 1096 Sort 1359, -5, 8, 13 in descending order. 1359, 13, 8, -5 Put 46, -2/5, 0, 1/6, 2/11 in increasing order. -2/5, 0, 1/6, 2/11, 46 Put 1/2, 51, -3/8, -1/3025 in decreasing order. 51, 1/2, -1/3025, -3/8 Sort -2, -188, 7, -96 in ascending order. -188, -96, -2, 7 Sort 1, 5, -5, 2, -11 in decreasing order. 5, 2, 1, -5, -11 Sort -81, 0, -1079. -1079, -81, 0 Put 3, 1, -14, 19, -1 in decreasing order. 19, 3, 1, -1, -14 Put 2, -4, -11, -127 in descending order. 2, -4, -11, -127 Put 22, -35, -3 in descending order. 22, -3, -35 Put 2, -4, 3, -16705, -5 in ascending order. -16705, -5, -4, 2, 3 Sort 3/4, 2/639, 1, -5, 5, 1/7. -5, 2/639, 1/7, 3/4, 1, 5 Sort 19, 79, 5 in descending order. 79, 19, 5 Put -1, -7, 1, -5, 171 in increasing order. -7, -5, -1, 1, 171 Sort 3/8, 13.4, -2, 0.4, -5, -1.2. -5, -2, -1.2, 3/8, 0.4, 13.4 Sort 2/25, -1, -25, 0, 1/5. -25, -1, 0, 2/25, 1/5 Put 1015, -14, 5 in descending order. 1015, 5, -14 Put 4/7, -3, 2, -81 in descending order. 2, 4/7, -3, -81 Sort -3, -7, -12110 in descending order. -3, -7, -12110 Sort 4, -5/3, 2/3, 19118 in increasing order. -5/3, 2/3, 4, 19118 Sort 0.019, -0.5, -4617 in ascending order. -4617, -0.5, 0.019 Put -1, -10, 5, 8, -27 in decreasing order. 8, 5, -1, -10, -27 Put -8, -5, -12, 1, 6, -1 in decreasing order. 6, 1, -1, -5, -8, -12 Sort 0.3, -30, -5, 2/13, 0.26, -28 in decreasing order. 0.3, 0.26, 2/13, -5, -28, -30 Put 0, -2, -54, 5 in decreasing order. 5, 0, -2, -54 Sort 4, 97, -44, 117 in increasing order. -44, 4, 97, 117 Sort 3, -106, -1/9407 in descending order. 3, -1/9407, -106 Sort 4/7, 1, 0.4, 0.9, -3, 12 in descending order. 12, 1, 0.9, 4/7, 0.4, -3 Sort -4, 4, -1, 9440, -7. -7, -4, -1, 4, 9440 Put -581, 31, 3 in ascending order. -581, 3, 31 Put 5/6, 0, -3/2, 4/3, 268, 0.5 in decreasing order. 268, 4/3, 5/6, 0.5, 0, -3/2 Sort 6/7, 4537.7, 0 in increasing order. 0, 6/7, 4537.7 Put -5, -3, 2084, -2, 2, 120 in descending order. 2084, 120, 2, -2, -3, -5 Put 3, 15, 0.9773 in decreasing order. 15, 3, 0.9773 Sort 13, 9, -51, -5 in increasing order. -51, -5, 9, 13 Sort 7, -10, 5, -4, 0, -8 in increasing order. -10, -8, -4, 0, 5, 7 Put -120, 5, 2, 63, -3 in descending order. 63, 5, 2, -3, -120 Put 4, 1, -4, -221, 0, 8 in ascending order. -221, -4, 0, 1, 4, 8 Put -3, -5, -13, 11, 2, -4 in ascending order. -13, -5, -4, -3, 2, 11 Put -70, 13, -2, -4, -9, 0 in ascending order. -70, -9, -4, -2, 0, 13 Put -5, -3, 66, -27 in decreasing order. 66, -3, -5, -27 Sort -2, -15265, 0, -5, -3 in ascending order. -15265, -5, -3, -2, 0 Put 1803, 65, 0 in increasing order. 0, 65, 1803 Sort -5, 160, -3, 15 in increasing order. -5, -3, 15, 160 Sort -5, 1/3, 0.3, -4, 2, 0.451 in descending order. 2, 0.451, 1/3, 0.3, -4, -5 Sort 0, -6, 13.52, -0.3. -6, -0.3, 0, 13.52 Put 5, -666, -369 in increasing order. -666, -369, 5 Sort -5, 4587, 0.06. -5, 0.06, 4587 Put 1, -17312, 66 in increasing order. -17312, 1, 66 Put 0.5, 1/4, 3688/5 in decreasing order. 3688/5, 0.5, 1/4 Sort -0.1, 1.2145, -25 in decreasing order. 1.2145, -0.1, -25 Put 3, 1, -4, -302, -2 in decreasing order. 3, 1, -2, -4, -302 Put -270, 1, 0.5, -0.1, 349 in increasing order. -270, -0.1, 0.5, 1, 349 Sort -2, 4, -7, -8/5, -1 in increasing order. -7, -2, -8/5, -1, 4 Put 5, 955389, -1/4 in decreasing order. 955389, 5, -1/4 Sort 0.4, -0.1, 481/6, 3/17 in decreasing order. 481/6, 0.4, 3/17, -0.1 Put -295, 1, -88, -4, -3/7 in decreasing order. 1, -3/7, -4, -88, -295 Sort -39, -24/11, 1, 5/7 in decreasing order. 1, 5/7, -24/11, -39 Sort 2/119, -17.6, 1/17, 0.5, 3/7 in increasing order. -17.6, 2/119, 1/17, 3/7, 0.5 Sort -11, 3, -196, -6, -5. -196, -11, -6, -5, 3 Sort 22, -1/4, 1/4, -70/3, 2/5, 5. -70/3, -1/4, 1/4, 2/5, 5, 22 Put -1, -4, -113, -12, 17 in descending order. 17, -1, -4, -12, -113 Put -26, -4, -9713 in ascending order. -9713, -26, -4 Sort 0, -16, 9, -4, -5, -3 in decreasing order. 9, 0, -3, -4, -5, -16 Sort 5/4, -7/43, -0.3. -0.3, -7/43, 5/4 Sort -1969, 0.1, -0.5, -4 in increasing order. -1969, -4, -0.5, 0.1 Sort 1, 645, -2, 43 in descending order. 645, 43, 1, -2 Put -16305, -6, 5 in increasing order. -16305, -6, 5 Sort -27, 0.2, -2.6, 0. -27, -2.6, 0, 0.2 Sort 0, 3, 6, -3, 681, 5. -3, 0, 3, 5, 6, 681 Put -219, -1, 0.3 in decreasing order. 0.3, -1, -219 Sort 4, 73, 2, 13, -2 in decreasing order. 73, 13, 4, 2, -2 Put 10, 863, 1 in increasing order. 1, 10, 863 Sort -0.3, -0.2, 0.03382, 3, 1 in ascending order. -0.3, -0.2, 0.03382, 1, 3 Put 293, -1, -433 in descending order. 293, -1, -433 Put -28/9, 9, 0.08 in decreasing order. 9, 0.08, -28/9 Sort 119, 0, -71, -1, -3 in decreasing order. 119, 0, -1, -3, -71 Put -2/5, -5, -0.1344, -2/83 in decreasing order. -2/83, -0.1344, -2/5, -5 Sort -55677, 4, -3 in descending order. 4, -3, -55677 Sort 0, -111265, 4. -111265, 0, 4 Put -5, -9, 0.2, 168, -0.4 in descending order. 168, 0.2, -0.4, -5, -9 Put -5, -758, -2/5, -0.5, 0.4 in ascending order. -758, -5, -0.5, -2/5, 0.4 Sort -1, -3, -130587. -130587, -3, -1 Sort 6, -40, -2, 1 in descending order. 6, 1, -2, -40 Sort 0.26, 0, 0.86, 4 in decreasing order. 4, 0.86, 0.26, 0 Put -26, 149, -30 in ascending order. -30, -26, 149 Sort 4, -3, 3, 54, -53 in descending order. 54, 4, 3, -3, -53 Put -11, -3341, -3 in decreasing order. -3, -11, -3341 Put -9, -11/6, -10/83 in decreasing order. -10/83, -11/6, -9 Sort -4, -2, 5, -1, -82783. -82783, -4, -2, -1, 5 Sort 44.229, -2/17, 4 in descending order. 44.229, 4, -2/17 Sort -3, 16, -18363 in descending order. 16, -3, -18363 Put 64, 1, 646, -1, -2 in decreasing order. 646, 64, 1, -1, -2 Sort 0, -12, 196, -1. -12, -1, 0, 196 Put -58, -3, -11, 2 in descending order. 2, -3, -11, -58 Put -21, 0, 117 in ascending order. -21, 0, 117 Put 212, 0, -4, -120 in descending order. 212, 0, -4, -120 Put 4, 1909, -5, 13 in ascending order. -5, 4, 13, 1909 Put -1/6, -3, 10, -20, -0.07 in descending order. 10, -0.07, -1/6, -3, -20 Sort 1, 4, 25056, -1, 5, -3. -3, -1, 1, 4, 5, 25056 Put -3, 4, 1, -2, 58, 83 in decreasing order. 83, 58, 4, 1, -2, -3 Sort -65/42, -1/8, -0.2, -2 in ascending order. -2, -65/42, -0.2, -1/8 Put -1/3, 0.5334, 0, -3 in descending order. 0.5334, 0, -1/3, -3 Sort 2, -4, 4, -2, 1, 217 in ascending order. -4, -2, 1, 2, 4, 217 Sort 1152, -3, -13, 3, 7 in descending order. 1152, 7, 3, -3, -13 Sort -0.69, -182/3, 0, -1 in increasing order. -182/3, -1, -0.69, 0 Put -8, 4, 44, 0, -0.4, 0.4 in decreasing order. 44, 4, 0.4, 0, -0.4, -8 Put 669, -3, -7, -2, -4 in increasing order. -7, -4, -3, -2, 669 Put 0, 7, 195, -4, 40 in ascending order. -4, 0, 7, 40, 195 Sort -5, -3, -239917, -1, -2. -239917, -5, -3, -2, -1 Put -22, 2/7, -0.5, 109, 0.4, 3 in descending order. 109, 3, 0.4, 2/7, -0.5, -22 Put -1, -12, -8258 in increasing order. -8258, -12, -1 Sort -3, 26, 5, -8 in ascending order. -8, -3, 5, 26 Put -20, -5, 8, 1, 5, 128 in descending order. 128, 8, 5, 1, -5, -20 Put -2, -33, -3, -9 in descending order. -2, -3, -9, -33 Sort 6/13, -4, 0, 6, 2.54, 2 in decreasing order. 6, 2.54, 2, 6/13, 0, -4 Put 17.7, 281, -5 in descending order. 281, 17.7, -5 Sort -642, -0.2, -58, -0.19 in decreasing order. -0.19, -0.2, -58, -642 Sort 1529/3, 0.1, 0.3 in descending order. 1529/3, 0.3, 0.1 Put -5, 2, -6, 47, 4 in decreasing order. 47, 4, 2, -5, -6 Sort -5/6, -20, -3, 0.1. -20, -3, -5/6, 0.1 Sort 1.6, -2/9, 1.7, 45 in decreasing order. 45, 1.7, 1.6, -2/9 Sort -2, 5, -175, -80 in ascending order. -175, -80, -2, 5 Sort 5, -2, -621073, -1 in decreasing order. 5, -1, -2, -621073 Put -3, 5, -0.06, 0.1, 1 in ascending order. -3, -0.06, 0.1, 1, 5 Put -26789, -3, 5, 1, 0 in ascending order. -26789, -3, 0, 1, 5 Put 85, 4, 155, -13 in ascending order. -13, 4, 85, 155 Put 43, 1/10, -2/3, -2, 0.5 in descending order. 43, 0.5, 1/10, -2/3, -2 Sort -3, -6, 21, 4, 6, 5. -6, -3, 4, 5, 6, 21 Put 22.6, -274, -0.2, 5 in increasing order. -274, -0.2, 5, 22.6 Put -27, 36, 5, -5, -4, 8 in descending order. 36, 8, 5, -4, -5, -27 Put -95, 6, 78 in decreasing order. 78, 6, -95 Sort 11, -5, 2, -3, -1, -13. -13, -5, -3, -1, 2, 11 Sort -3/5, 3.9, 129, 4/7 in increasing order. -3/5, 4/7, 3.9, 129 Sort -26, 5, -12, 0. -26, -12, 0, 5 Put -10/27, -51, 1/7, 1, 8/5 in decreasing order. 8/5, 1, 1/7, -10/27, -51 Sort 1, -6, 3/106, -5 in increasing order. -6, -5, 3/106
{ "pile_set_name": "DM Mathematics" }
31 - 4*j + 2*j)*(2*j**2 + j**2 + 3*j**2). -18*j**5 - 12*j**3 - 186*j**2 Expand (2 - 4 + 1)*(-v**2 - v**2 + 4*v**2) - v**2 - 3*v**2 + 2*v**2 - 11*v**2 + 3*v**2 - v**2 - 59*v**2 + 21*v**2 + 25*v**2. -26*v**2 Expand (-2*b + 4*b + b)*(1 + 1 + 0) + (-5 - 9 + 0)*(-b - 4*b + b) - b + b + b + (-2*b - b + 4*b)*(4 - 1 - 2) + 2 + 8*b - 4 - 3*b. 69*b - 2 Expand (-2 + 0 + 1)*(940*y**2 - 295*y**2 - 346*y**2 + 5*y - 419*y**2). 120*y**2 - 5*y Expand (-3*a + 2*a + 3*a)*(-299*a**2 - 22*a**3 + 299*a**2) + 0*a + 2*a**4 + 0*a + (-a + 2*a**3 + a)*(4*a + 0*a - 2*a). -38*a**4 Expand (-234*f**2 - 828*f**2 + 88*f**2 + 328*f**2)*(-2*f - 3 + 3). 1292*f**3 Expand (6*m + 5*m - 7*m)*(-1 + 0 + 0)*(6*m + 9*m - 10*m)*(3 - 5 + 3)*(-1 + 0 + 3)*(5 - 7 - 2). 160*m**2 Expand (-13 + 8 - 45*x + 5)*(2*x - 5*x + 6*x). -135*x**2 Expand (2*g - 1 + 1)*(0 + 2 - 4) - 839 - 159*g + 839. -163*g Expand f + 471*f**4 + 194*f**5 - 471*f**4 + (-5*f**3 + f**3 + 5*f**3)*(-f**2 + 0*f**2 - f**2). 192*f**5 + f Expand 4*c - 4*c + 2*c**3 + (4 - 4 + c)*(2*c**2 + 2*c**2 - 3*c**2) + (-2179 + 201 - 1907 - 1287)*(-3*c**3 + 0*c**3 + c**3). 10347*c**3 Expand (2*t + 2*t - 2*t)*(2*t**4 - 3*t**4 + 0*t**4 + 2*t**4 - t**4 + 5*t**4 + (-8*t**4 - 11*t**4 + 3*t**4)*(3 - 6 + 2)). 42*t**5 Expand (0*u**2 + 3*u**2 + u**2)*(24745 + 188*u**2 - 24745). 752*u**4 Expand (-12*z + 46*z - 21*z)*(-4 - 1 + 3). -26*z Expand (y - 3*y - y)*(-y**3 + 0*y**3 - 2*y**3 + (0*y**2 + 2*y**2 - y**2)*(y + 4*y - 4*y))*(8 + 3 + 6). 102*y**4 Expand -12*g**2 + 4 - 4 + (-3*g + 6*g - 4*g)*(-2*g + 5*g - 4*g) - g**2 + 8*g**2 + g**2 + (1 - 2*g - 1)*(-g + g + g). -5*g**2 Expand (13*q**2 - 5*q + 8*q - q)*(1 + 6*q**2 - 1 + 2*q). 78*q**4 + 38*q**3 + 4*q**2 Expand (-2*s - 2 + 2)*(0 + 0 + 11 + 10 + 9 - 4 - 5 + 0 + 3 - 1 + 4 - 2 + 3 - 4 + 0 + (-4 + 2 + 3)*(0 + 0 - 1) - 4 - 1 + 4). -44*s Expand -5*i**2 - 3*i**2 - 1 - i**2 + i**2 - 2*i**2 + 0*i**2 + (4*i - i - 2*i)*(0*i - i - i) - i**2 - 2*i**2 + i**2. -14*i**2 - 1 Expand -143 + 143 - 86*z + (-22 + 13 - 19)*(4*z - z - 2*z). -114*z Expand (-c + 0*c - c)*(3*c**4 + 24*c**3 + 41 - 41 + (-4*c**2 + 4*c**2 - 2*c**2)*(-2*c**2 + c**2 + 0*c**2) - 3*c**4 + 7 - 7). -4*c**5 - 48*c**4 Expand (-2 + 3 - 2)*(-7 + b + 7)*(-71 + 10*b + 71). -10*b**2 Expand (u - 3 + 3)*(115 + 111 - 789*u - 226). -789*u**2 Expand -2*m**4 + 3*m**4 + m**4 + ((-4 - 1 + 3)*(-2 + 1 + 3) - 2 - 2 + 3)*(3*m**4 - 4*m**4 + 0*m**4 + (m**3 + m**3 + 0*m**3)*(-2*m + 2*m - m)). 17*m**4 Expand (-8*i + 4*i + 3*i + 19)*(i - i + 2*i). -2*i**2 + 38*i Expand 2*c**3 - 2*c**2 + 2*c**2 + (-5 + 3 + 1)*(1 - 1 - c**3) - c**3 + 5*c**3 - 2*c**3 + 4*c**3 - c + c. 9*c**3 Expand (v**2 + v**3 - v**2)*(-11*v + 12*v + 32*v) + (-v**3 - v + v)*(-v - 1 + 1). 34*v**4 Expand (-2*r + 26*r - 4*r)*(-44*r + 44*r + 13*r**3 + (7*r - 2*r - 3*r)*(-3*r**2 + 5*r - 5*r)). 140*r**4 Expand (-5*l + l + 3*l)*(-316 - 339 - 454 - 67). 1176*l Expand (-9*d**2 + 38*d - 38*d)*(d - 10 - d**2 + 8 + 3*d). 9*d**4 - 36*d**3 + 18*d**2 Expand ((-2*v - 2*v - 3*v)*(0 + 1 - 3) + (0*v - v + 3*v)*(0 - 1 - 1))*(v + 5*v - 22*v) - 2*v**2 + v - v. -162*v**2 Expand (3*z + 0*z - 4*z)*((-3 + 1 + 3)*(-4*z + 3*z + 0*z) + 0 + 0 - 2*z + z + 0*z + 0*z + (-2 + 21 - 132)*(-13 + 13 - 9*z)). -1015*z**2 Expand 14*w**4 + 13*w**4 - 18*w**4 + (-w**4 + 4*w**2 - 4*w**2)*(1 - 2 - 1). 11*w**4 Expand 336 - 1028*v - 667 + 3599*v + 331 + (0*v - v + 3*v)*(-1 + 2 + 1). 2575*v Expand (-4 - 2*c + 4)*(-3 + 2 + 4) - 32*c - 8*c + 53*c + 113*c. 120*c Expand 4*b**4 - 5*b**4 + 3*b**4 + (0*b**3 + 0*b**3 + 2*b**3)*(5*b - 4*b + 0*b) + (5*b**2 - 2*b**2 - b**2)*(0*b**2 + 3*b**2 - 6*b**2). -2*b**4 Expand (2*l**3 - 3*l**3 + 2*l**3)*(37*l**2 - 15*l**2 + 6*l**2) + 3*l**5 - 2*l**5 - 6*l**5 + 1 - 3*l**5 - 1. 20*l**5 Expand (0 - 6 - 5)*(-2 + 2 + 8*d)*(1 - 1 + 2)*(-d + d - 3*d**2). 528*d**3 Expand (-l**2 + 3 - 3)*((-5*l - 4*l + 4*l)*(-3 + 1 - 1) + 13 + 6*l - 13). -21*l**3 Expand (-21*b - 2 - 2*b**2 + 21*b)*(-12 - 23 - 8). 86*b**2 + 86 Expand (-72 - 95 - 37)*(-7*w**2 + 4*w**2 + 2*w**2). 204*w**2 Expand (19*r**3 - 31*r**3 - 27*r**3)*(7 + 2*r**2 - 7). -78*r**5 Expand (3382 - 57*b - 3382)*(-6*b + 2*b - 1 + 3*b)*(-5 + 2 + 2) + (0 - 2 + 3)*(b**2 + 0*b**2 + b**2). -55*b**2 - 57*b Expand (1 - x + x + 5*x**3)*(x - 2 + 2)*(-11 + 9*x + 11). 45*x**5 + 9*x**2 Expand (-2 + 2 + 4)*(-5 + 13*b + 5)*(-2*b + 2*b + b**2)*(0 + 2 - 3). -52*b**3 Expand (16*g + 47*g - 16*g)*(-3 - 2*g + 3 + (-2 + 4 - 1)*(-g - 3 + 3) + (2 + 1 - 5)*(-2*g + 3*g - 3*g)). 47*g**2 Expand (3*p - 2*p - 2*p)*(-2 + 1 - 1) + (-136 + p + 2*p + 143)*(20 + 17 - 3)*(2 - 4 - 1)*(-3 + 2 + 2). -304*p - 714 Expand (-4*r**2 + 55 - 55)*(4*r - 5 + r + 2). -20*r**3 + 12*r**2 Expand 2*h**4 - 4 + 4 + (-10*h**2 - 4*h**2 + h**2)*(2*h**2 + h**2 + 0*h**2). -37*h**4 Expand (-b - 12 - 18 - 1)*(3*b - 6*b - b). 4*b**2 + 124*b Expand -4*d**4 + d**3 - d**3 + (1 - 1 - d**2)*(d**2 + 5*d**2 + d**2) + 5 - 5 + 5*d**4. -6*d**4 Expand (48 - 48 - 5*q)*(-115*q + 10715 - 10715). 575*q**2 Expand (149*q - 37*q + 57*q)*(-2*q**2 + 3*q**3 + 2*q**2). 507*q**4 Expand b**2 - 3 - 2*b**2 - b**2 + 2*b + (-2*b**2 - 3*b**2 + 7*b**2)*(-4 + 0 + 2). -6*b**2 + 2*b - 3 Expand (29*d - 219 + 219)*(4 - 4 - 1 - 2 + 0). -87*d Expand 71*y**2 - 40*y**2 - 350*y - 32*y**2 + (1 - 1 + 1)*(-y**2 + 2*y**2 - 2*y**2) - 2*y**2 - 5*y + 5*y. -4*y**2 - 350*y Expand (2*z**2 - 3*z**2 - z**2)*((0 + 2 - 3)*(3*z + 2*z - 4*z) + 2*z + 1 - 1)*(-3 + 0 + 1). 4*z**3 Expand (4 - 1 + 1)*(11*x - 14 - 12*x - 20). -4*x - 136 Expand (-k**2 - 5 + 5)*(2*k + 5*k + 3*k) + (6 + 1 - 2)*(0 + 3 - 1)*(-3*k**2 + 3*k**2 - k**3). -20*k**3 Expand (-5*s + 3*s + s)*(-62 - 42 + 0). 104*s Expand (-u**2 - 2*u**2 + 3*u - u)*(-2*u + 2*u**3 + 2*u + 2*u**3 + 3*u**3 - 3*u**3 + (u**2 - 4*u + 4*u)*(2*u + 4*u - 4*u) + 30*u**3 + 52*u**2 - 52*u**2). -108*u**5 + 72*u**4 Expand -v**3 + 0*v + 0*v + (-v + 0 + 0)*(-5*v**2 + 3*v**2 + 0*v**2) + (-8*v + 8*v - 5*v**2 + v)*(-2*v - 2*v + 11*v). -34*v**3 + 7*v**2 Expand (0*o + 2*o - 3*o)*(446 - 226*o - 446). 226*o**2 Expand 2*g + g + 0*g + (5 - 1 - 2)*((2 + 0 - 1)*(-4*g + 5*g + 0*g) + 20 - 20 + g). 7*g Expand (-1 + 1 + j - 1 - j + 1 + (-2 + j + 2)*(2 + 1 - 6) + 0 - j + 0)*(2539*j**2 + 37 + 3 - 2534*j**2). -20*j**3 - 160*j Expand (-1 + 0 - 1)*(y - y - y**2) + 2*y + 13 - 4 + y**2 - 1. 3*y**2 + 2*y + 8 Expand (42*c**2 + 92 - 92 + (4*c - 2*c - 3*c)*(-1 + 1 - 2*c))*(2*c - 3 + 3) - 3*c + c**3 + 4*c + 2*c**3. 91*c**3 + c Expand ((0*l + 0*l + 3*l)*(-2 + 2 - 1) - 3*l - 5 + 5)*(5*l + 11 - 11). -30*l**2 Expand (-7*z**3 + 0 + 0)*(9*z - 9*z + 3*z**2) - 453 + 453 - 11*z**5. -32*z**5 Expand (241*n - 2 - 400*n + 240*n)*(5 - 5 + 2). 162*n - 4 Expand 5*p + 5*p - p + (5 - 3 + 0)*(19*p - 20*p + 9*p) - 8*p + p - 2*p. 16*p Expand (2*j**4 + j - j)*(j - 10*j + 3*j) - 4*j**5 + 4*j**5 - 3*j**5 + (j**2 - 2*j**2 + 2*j**2)*(j**3 - 1 + 1). -14*j**5 Expand 0*i**2 - 3*i**2 + i**2 + (2*i - 3*i + 0*i + (-2*i + 6*i + i)*(3 - 3 + 2))*((0*i + 4*i - 2*i)*(-5 + 3 + 3) - i - 3*i + 0*i). -20*i**2 Expand -727 + 727 - 26*z**3 + z**3 + 4*z**3 - z**3 + (0 + 0 - z)*(-4*z**2 - 2*z**2 + 4*z**2). -20*z**3 Expand -12349 - 30*t + 12349 + (2 - 4 + 0)*(4*t - 5*t - t) + 2*t - 3*t + 3*t + 2*t + t - 4*t. -25*t Expand -3*q**5 + 2*q**5 + 0*q**5 + (-225 + 225 - 26*q)*(-4*q**4 + 3*q**4 - 4*q**4). 129*q**5 Expand 2*s**4 + 5*s**3 - 5*s**3 + (-s + s - 2*s)*(s**3 + s - s) + 2*s - 2*s - s**4 + 4*s**4 + 159*s + 126*s - 6*s**4. -3*s**4 + 285*s Expand (27 + 56*y - 58*y + 1)*(0*y - 5*y + y). 8*y**2 - 112*y Expand (0*y**3 - 3*y**3 + 2*y**3)*(2*y - 4*y + 4*y) + 252 + 280*y**4 - 252. 278*y**4 Expand (-y**2 + 2*y**2 - 1 + 5)*(8 - 22 - 12). -26*y**2 - 104 Expand -2*i**2 + i**4 + 2*i**2 + (1487 - 1487 + 38*i**2)*(-i**2 - 2*i**2 + 0*i**2) - 4*i**4 + i**4 + i**4. -115*i**4 Expand (0*q - 9*q - 38*q)*(-3*q - 3*q + 5*q + (4*q + q - 3*q + (1 + 1 - 1)*(-3 + q + 3) + 4*q - q - q - 3*q + 4*q + 0*q)*(3 + 0 - 4)). 329*q**2 Expand (-4 + 3 - 9)*(14*g**3 + 0*g**3 - 42*g**3). 280*g**3 Expand (7*g**2 + 9*g**2 + 6*g**2)*(-g - g + 9*g - 1 + 1 - 2*g + (0*g - 5*g + 3*g)*(-1 + 2 + 0) - 1 - g + 1). 44*g**3 Expand (2 - 2 + w**2)*(-4 - w + 4) + (-w - 5*w + 16*w)*(2 - 2*w**2 - 2). -21*w**3 Expand (-4 + 2*g**2 + 4)*((-5*g + 4*g + 3*g)*(1 - 1 + g) - 160*g**2 + 117*g**2 + 108*g**2 - 2 + g). 134*g**4 + 2*g**3 - 4*g**2 Expand f**2 - 34*f**5 + 0*f**2 + 26*f**5 + f**3 - f**3 - f**5 + 2 + 2*f**5 - 2
{ "pile_set_name": "DM Mathematics" }
ghest common divisor of 231 and 51579. 33 Calculate the highest common factor of 21343 and 4. 1 What is the greatest common divisor of 166976 and 448? 64 Calculate the highest common divisor of 46443 and 2373. 339 Calculate the highest common divisor of 1073 and 740. 37 What is the greatest common factor of 42 and 72072? 42 What is the greatest common divisor of 732 and 179828? 244 What is the greatest common divisor of 72 and 130716? 36 Calculate the highest common factor of 10920 and 9590. 70 What is the greatest common divisor of 52016 and 272? 16 Calculate the highest common factor of 1438328 and 276. 92 Calculate the highest common divisor of 1560 and 230. 10 Calculate the greatest common divisor of 15141448 and 254. 254 What is the greatest common factor of 9557 and 2831? 19 What is the greatest common factor of 11191 and 133? 19 What is the highest common factor of 1428 and 8262? 102 What is the greatest common divisor of 54 and 5714766? 54 Calculate the highest common divisor of 3617 and 67. 1 Calculate the greatest common divisor of 28 and 48335. 7 Calculate the highest common factor of 46244 and 88. 44 What is the highest common factor of 407 and 129167? 37 Calculate the greatest common divisor of 47127 and 92. 23 Calculate the greatest common factor of 284196 and 228. 12 What is the greatest common divisor of 26 and 170222? 26 Calculate the highest common factor of 90075 and 165. 15 What is the highest common divisor of 138 and 24330? 6 Calculate the highest common factor of 3841 and 8183. 167 What is the highest common factor of 79674 and 33663? 147 Calculate the greatest common factor of 27024 and 48. 48 What is the highest common factor of 55747 and 1563? 521 What is the highest common factor of 8952 and 24? 24 Calculate the highest common factor of 1547 and 13. 13 What is the highest common divisor of 243900 and 500? 100 Calculate the highest common factor of 14544 and 30. 6 What is the highest common factor of 5264655 and 165? 165 Calculate the greatest common factor of 909 and 12120. 303 What is the greatest common divisor of 1696 and 5296? 16 Calculate the greatest common divisor of 57532 and 6308. 76 Calculate the greatest common factor of 24 and 119032. 8 Calculate the greatest common divisor of 154 and 229229. 77 Calculate the highest common divisor of 966 and 50508. 138 Calculate the highest common divisor of 2024292 and 12. 12 Calculate the greatest common factor of 187085 and 71. 71 Calculate the highest common factor of 775 and 252309. 31 What is the highest common factor of 12311061 and 42? 21 What is the greatest common divisor of 192 and 139056? 48 What is the greatest common divisor of 1808 and 64? 16 What is the greatest common factor of 52061 and 158? 79 Calculate the greatest common divisor of 21 and 643167. 21 Calculate the greatest common factor of 2472 and 5192436. 1236 Calculate the greatest common divisor of 138 and 93909. 69 Calculate the greatest common factor of 4370 and 9310. 190 What is the greatest common divisor of 10860 and 7785? 15 What is the greatest common factor of 3452 and 7? 1 What is the greatest common factor of 19240 and 5957? 37 What is the highest common divisor of 1525 and 10? 5 Calculate the highest common divisor of 30 and 103965. 15 What is the highest common divisor of 133 and 419558? 19 Calculate the greatest common factor of 4 and 100810. 2 Calculate the highest common factor of 1180 and 364. 4 Calculate the highest common divisor of 401015 and 1251. 139 What is the greatest common divisor of 266840 and 154? 14 What is the highest common divisor of 1480 and 2968880? 1480 What is the highest common factor of 607430 and 1710? 190 Calculate the greatest common factor of 119 and 132362. 17 What is the highest common divisor of 19215 and 135? 45 Calculate the highest common factor of 6364 and 10019. 43 What is the greatest common factor of 73035 and 2565? 135 Calculate the highest common divisor of 5829 and 8978. 67 Calculate the highest common factor of 420 and 128296. 28 Calculate the greatest common factor of 5882 and 170. 34 Calculate the highest common factor of 109256 and 16. 8 What is the greatest common factor of 193257 and 394? 197 Calculate the highest common divisor of 163280 and 676. 52 Calculate the highest common divisor of 242000 and 1480. 40 Calculate the greatest common divisor of 1148 and 10988. 164 What is the highest common divisor of 47577 and 39? 3 Calculate the highest common factor of 17980 and 60. 20 Calculate the greatest common divisor of 1615 and 136. 17 What is the greatest common factor of 194249 and 11? 11 What is the greatest common divisor of 281 and 861546? 281 What is the highest common divisor of 5510 and 37265? 145 What is the greatest common factor of 6996 and 18612? 132 Calculate the highest common factor of 1519 and 14167. 31 Calculate the greatest common factor of 16119 and 171. 9 Calculate the highest common divisor of 1510 and 1310. 10 What is the highest common divisor of 13337 and 2? 1 Calculate the highest common divisor of 624 and 156832. 208 What is the greatest common divisor of 291270 and 2835? 105 What is the highest common factor of 4701522 and 42? 42 Calculate the highest common divisor of 1417 and 299. 13 What is the highest common factor of 3287 and 232339? 173 Calculate the greatest common factor of 30 and 607210. 10 What is the highest common divisor of 652 and 88183? 163 What is the highest common factor of 16606 and 92? 46 What is the highest common divisor of 1122 and 7191? 51 What is the highest common factor of 828288 and 2592? 288 What is the highest common divisor of 26599 and 201? 67 What is the highest common divisor of 273671 and 1545? 103 Calculate the greatest common divisor of 40 and 63160. 40 What is the greatest common divisor of 27 and 724662? 9 What is the highest common factor of 149478 and 336? 42 What is the highest common factor of 80 and 252440? 40 Calculate the greatest common factor of 146318 and 447. 149 What is the greatest common factor of 20140 and 7600? 380 What is the highest common factor of 92948 and 1349? 19 Calculate the highest common divisor of 214968 and 3021. 159 Calculate the highest common divisor of 9105 and 90. 15 Calculate the highest common divisor of 854 and 12253619. 427 Calculate the highest common divisor of 221850 and 3944. 986 Calculate the greatest common divisor of 63410 and 2890. 170 What is the highest common factor of 77 and 6633? 11 What is the highest common factor of 9205386 and 19? 19 Calculate the greatest common factor of 2 and 77094. 2 Calculate the greatest common divisor of 35701 and 247. 19 What is the greatest common divisor of 3060 and 504? 36 What is the greatest common factor of 7811 and 9523? 107 Calculate the highest common divisor of 5412 and 19926. 246 What is the greatest common factor of 216 and 231633? 27 What is the highest common factor of 23095 and 2480? 155 What is the greatest common factor of 90 and 31590? 90 Calculate the highest common factor of 1065 and 211296. 213 What is the highest common factor of 68 and 49606? 34 Calculate the highest common factor of 10638 and 5346. 54 What is the highest common factor of 10168 and 1736? 248 Calculate the greatest common divisor of 312 and 897. 39 Calculate the greatest common divisor of 2711090 and 40. 10 What is the greatest common divisor of 62889 and 3? 3 What is the highest common divisor of 880 and 15216080? 880 Calculate the greatest common divisor of 2560 and 109840. 80 Calculate the greatest common factor of 1007247 and 9051. 1293 Calculate the greatest common divisor of 3150 and 279. 9 What is the highest common divisor of 181 and 23168? 181 Calculate the highest common factor of 88 and 131362. 22 What is the greatest common divisor of 456713 and 785? 157 Calculate the greatest common factor of 1349 and 16150. 19 Calculate the highest common factor of 8816 and 2470. 38 Calculate the highest common divisor of 4524 and 1392. 348 Calculate the greatest common divisor of 109032 and 12. 12 Calculate the greatest common factor of 318538 and 22. 22 Calculate the greatest common divisor of 352 and 189152. 32 What is the highest common divisor of 520058 and 614? 614 What is the highest common divisor
{ "pile_set_name": "DM Mathematics" }
ms in -5 + 7 - 2 + 7*i**2. 7*i**2 Collect the terms in -8*t**2 + 660 - 637 - 23. -8*t**2 Collect the terms in 109*r - 33*r - 40*r - 39*r. -3*r Collect the terms in -6*k + 32 + 372 + 3*k + 3*k + 3*k**3. 3*k**3 + 404 Collect the terms in -2666 + 8076 - 2687 + t**2 - 2723. t**2 Collect the terms in 5 + 10 - 14 + 453*r**3 - 1. 453*r**3 Collect the terms in -778694271*j**2 + 778694271*j**2 + 2*j**3. 2*j**3 Collect the terms in 0 + z - 2 + 6 + 248*z**2. 248*z**2 + z + 4 Collect the terms in -1268*d**2 - 350*d**2 - 298*d**2. -1916*d**2 Collect the terms in -47*d + 9234*d + 8541*d. 17728*d Collect the terms in 2*a - 2 + 15*a + 6*a - 6*a + 15*a. 32*a - 2 Collect the terms in 28*h**3 + 4*h**3 - 2*h**3 + 28*h**3 - 5*h**3. 53*h**3 Collect the terms in 3176*k + 2943*k - 6119*k - 2*k**2. -2*k**2 Collect the terms in -71*b**2 - 640*b**3 + 137*b**2 - 66*b**2. -640*b**3 Collect the terms in -60*i - 63*i - 55*i + 232*i - 57*i. -3*i Collect the terms in -247*x**2 - 7*x**3 - 8*x**3 + 247*x**2 - 11*x**3 + 12*x. -26*x**3 + 12*x Collect the terms in 5*p**2 - p**2 + 68741955*p - 68741955*p. 4*p**2 Collect the terms in 167*h**3 + 2756*h**2 - 46*h**3 - 2756*h**2. 121*h**3 Collect the terms in -15*p**2 + 14*p**2 - 16*p**2. -17*p**2 Collect the terms in -7377*y**3 + 14824*y**3 - 7385*y**3. 62*y**3 Collect the terms in 41 + 63*m**3 - 10 - 25. 63*m**3 + 6 Collect the terms in -4651*y**2 + 4651*y**2 + 48*y**3 - 169*y**3. -121*y**3 Collect the terms in 30*m**3 - 33*m**2 + 33*m**2 + 30*m**3. 60*m**3 Collect the terms in -320 - 332 - 16*l**3 + 3*l**3 + 660. -13*l**3 + 8 Collect the terms in 417*l**2 + l**3 - 813*l**2 - 4*l**3 + 396*l**2. -3*l**3 Collect the terms in -342*v**2 - 212*v**2 + 545*v**2. -9*v**2 Collect the terms in -44 - 30 + 214 - 240*p**2 + 239*p**2 + 121. -p**2 + 261 Collect the terms in 26*a**3 - 10*a**3 - 5*a**3 - 10*a**3 - 25*a**3. -24*a**3 Collect the terms in -9*j**3 + 21*j**3 + 3*j**3 + 68*j**3 + 2*j**2. 83*j**3 + 2*j**2 Collect the terms in 4346*u + 4458*u - 8805*u. -u Collect the terms in 2*f - 55 - 64 + 124 - 5*f + 11*f. 8*f + 5 Collect the terms in -542 + 295 + 11*n**3 + 247. 11*n**3 Collect the terms in -387885831*d**3 + 193942918*d**3 + 193942914*d**3. d**3 Collect the terms in 2*w**3 + 33 + 1162*w - 1162*w - 33. 2*w**3 Collect the terms in -1476*i + 4439*i - 1482*i - 1480*i. i Collect the terms in -15*t - 131*t - 129*t + 45*t. -230*t Collect the terms in 8 + 95*t - 139*t - 376*t. -420*t + 8 Collect the terms in -3 + 3 - 133*v**3 - 46*v**3 + 0 + 171*v**3. -8*v**3 Collect the terms in -2*s**3 + 71 + 5*s**3 + 170 - 4*s**3. -s**3 + 241 Collect the terms in -470001*x + 470001*x - x**2. -x**2 Collect the terms in 12875*d**3 - 628*d**3 + 3 - 4. 12247*d**3 - 1 Collect the terms in 20176*w**3 + 20147*w**3 - 40313*w**3. 10*w**3 Collect the terms in 92*j**2 - 10*j**2 - 168*j**2 + 4 - 134*j**2. -220*j**2 + 4 Collect the terms in -47*u - 17*u - 42*u + 3 + 103*u. -3*u + 3 Collect the terms in -1390*y**3 + 2779*y**3 - 1390*y**3. -y**3 Collect the terms in 2837*j**3 + 2115*j**3 + 6240*j**3. 11192*j**3 Collect the terms in 2 + 47*n - 3*n - 31*n - 2. 13*n Collect the terms in -l + l - 5*l**2 + l**2 + 6*l**2. 2*l**2 Collect the terms in -3*i - 1 - 15*i + 6*i + 13*i. i - 1 Collect the terms in -606 + 70*q**2 + 1206 - 600. 70*q**2 Collect the terms in -103*a**2 + 76*a**2 + 99*a**2 - 66*a**2. 6*a**2 Collect the terms in 5*m**2 - 7*m**3 + 379*m - m**2 + 3*m**3 - 377*m - 5*m**3. -9*m**3 + 4*m**2 + 2*m Collect the terms in -4*m - m + 4*m - 4*m**2 + m - 247. -4*m**2 - 247 Collect the terms in -3*t - 37 - 36 + 81. -3*t + 8 Collect the terms in 160 + 37*v - 172 - 12*v. 25*v - 12 Collect the terms in 15 + 0*t - 6 - 8 - 21 + t. t - 20 Collect the terms in 25*b**3 + 9*b**3 - 8*b**3 - 25*b**3. b**3 Collect the terms in -2300*k**3 - k + k - 6265*k**3. -8565*k**3 Collect the terms in -3*u - 728 + 724 + 2*u. -u - 4 Collect the terms in -483*s**3 + 438*s**3 + 0*s + 0*s. -45*s**3 Collect the terms in -1126*z - 3488*z + 407*z. -4207*z Collect the terms in -12*r + 270 - 11941 + 553. -12*r - 11118 Collect the terms in 11102*v**3 + 11292*v**3 - 7215*v**3 - 63*v**3. 15116*v**3 Collect the terms in 9 - v**2 - 8 - 19 + 2*v**2 + 18. v**2 Collect the terms in 697*l**2 + 52 - 52 - 666*l**2. 31*l**2 Collect the terms in 5*m - 2418 + 5200 - 3*m. 2*m + 2782 Collect the terms in 83 + 92 - 261 - 23*a + 86. -23*a Collect the terms in 72*c**2 - 18*c**2 - 17*c**2 - 19*c**2. 18*c**2 Collect the terms in -67*b + 222*b + 126*b + 62*b. 343*b Collect the terms in 56908*w - 1367*w**2 + 676*w**2 + w**3 - 56908*w + 691*w**2. w**3 Collect the terms in 304*t**2 + 298*t**2 + 306*t**2 - 1197*t**2 + 32*t + 291*t**2. 2*t**2 + 32*t Collect the terms in -15217378 + 30434730 + 3*h - 15217352. 3*h Collect the terms in -24*h**3 - 23*h**3 + 135*h**3 - 82*h**3. 6*h**3 Collect the terms in -702 + w**3 - 6*w**3 + 342 + 360. -5*w**3 Collect the terms in -1241*d + 3701*d - 1225*d - 1237*d. -2*d Collect the terms in 38*n**2 - 340*n + n**3 + 1057*n - 357*n - 360*n. n**3 + 38*n**2 Collect the terms in -52*p - 2*p**3 + 269*p + 215*p - 114*p + 350*p. -2*p**3 + 668*p Collect the terms in -25229069*l**3 + 12614538*l**3 + 12614533*l**3. 2*l**3 Collect the terms in -5803241*y + y**3 + 5803241*y. y**3 Collect the terms in -5434 + 5434 + 131*i**2 - 2*i**2. 129*i**2 Collect the terms in -419 + 3*z**3 + 426 + z**3. 4*z**3 + 7 Collect the terms in -17*o + 2 - 3668*o**2 - 15*o + 30*o + 0. -3668*o**2 - 2*o + 2 Collect the terms in -8*b + 10 - 23 - 15 + 6*b. -2*b - 28 Collect the terms in -8870*h**3 - 1999*h**3 - 1857*h**3 - 3636*h**3. -16362*h**3 Collect the terms in -209*a + 82*a + 79*a + 20*a**2 + 47*a. 20*a**2 - a Collect the terms in -37*w**2 - 68*w + 6*w**2 - 23*w**2 + 68*w. -54*w**2 Collect the terms in 19*a**2 + 24*a + 20*a + 232*a**2. 251*a**2 + 44*a Collect the terms in -3*r**2 - 7*r**2 + 18*r**2 - 29*r**2. -21*r**2 Collect the terms in -23850*i - 11147*i + 8549*i. -26448*i Collect the terms in 181*t**3 - 380*t**3 + 239*t**3. 40*t**3 Collect the terms in 2*w**3 + 3*w**2 - 1 - 6*w**2 + 1 + 8*w**2. 2*w**3 + 5*w**2 Collect the terms in -400*f**3 - 50*f**2 + 50*f**2 + 3618*f**3. 3218*f**3 Collect the terms in 4824 - 1921*l + 178*l - 4824. -1743*l Collect the terms in -9*l + 0 - 16*l + 0 + 118*l. 93*l Collect the terms in -17*k + 26 - 9 - 19*k + 29*k. -7*k + 17 Collect the terms in -4 + 834*w - 281*w + 3. 553*w - 1 Collect the terms in -16*n**2 + 72*n**2 - 4*n**3 + 7*n**2 + 5*n. -4*n**3 + 63*n**2 + 5*n Collect the terms in -797998 + 797998 - 5*a. -5*a Collect the terms in 269*q**2 + 268*q**2 - 537*q**2 + 272*q**3. 272*q**3 Collect the terms in 18 - 3*c - c + 5*c. c + 18 Collect the terms in -18 - 4 - d - d - d. -3*d - 22 Collect the terms in 7*a - 28 + 87 - 54. 7*a + 5 Collect the terms in -s**2 - 41*s**2 + 17*s**2 - 46*s**2. -71*s**2 Collect the terms in -186*u + 563*u - 192*u + 184*u**3 - 185*u. 184*u**3 Collect the terms in 379*u - 76*u**2 - 379*u. -76*u**2 Collect the terms in 1 + 1 + 1299*o**2 + 0. 1299*o**2 + 2 Collect the terms in -47*i + 9*i - 7*i**3 + 12*i + 133*i. -7*i**3 + 107*i Collect the terms in 2*o**2 + 9*o**2 + 7*o**2 + 35*o**2 - 59*o**2. -6*o**2 Collect the terms in t - 2*t + 20 - 20 - t. -2*t Collect the terms in -9 - 5 + 1190*a**3 + 14 - 1193*a**3. -3*a**3 Collect the terms in -11 + 96*b + 4 + 1 + 2*b**2. 2*b**2 + 96*b - 6 Collect the terms in 2*u**3 + 9014*u - 18113*u + 9097*u. 2*u**3 - 2*u Collect the terms in -23*w + 21*w - 104291*w**3 + 2*w + 104294*w**3. 3*w**3 Collect the terms in -53*x**3 + 22*x**3 + 1445*x**2 - 1445*x**2. -31*x**3 Collect the terms in -10*n**2 - 9*n**2 + 44*n**2 - 11*n**2 - 7*n**2. 7*n**2 Collect the terms in -109*a**3 - 21*a**2 + 4*a**2 + 0*a**2. -109*a**3 - 17*a**2 Collect the terms in 0*d**3 + 0*d**3 + 3*d**3 - 2*d**3 - 19453*d + 18993*d. d**3 - 460*d Collect the terms in -144*u**2 - 144*u**2 + 430*u**2 - 149*u**2. -7*u**2 Collect the terms in 4488*t - 2554*t - 1921*t. 13*t Collect the terms in -15 + 8*s**2 + 15 - 34*s - 90*s. 8*s**2 - 124*s Collect the terms in -15*s + 7489 - 6*s**2 - 7489. -6*s**2 - 15*s Collect the terms in 102984*u**2 + 13061*u**2 - 15363*u**2. 100682*u**2 Collect the terms in 374968 + 3*k**2 + k**2 - 374968. 4*k**2 Collect the terms in -596*y**2 - 3*y**3 - 586*y**2
{ "pile_set_name": "DM Mathematics" }
qrt(2) - sqrt(192)/sqrt(6)))**2. 299/9 Simplify ((0 + sqrt(5) - sqrt(5))*6 + 0 + (sqrt(320)*-2 + 0 - sqrt(320)))**2. 2880 Simplify (-3*(sqrt(32)*6 - sqrt(6)/(sqrt(6)/sqrt(2)) - (sqrt(392) - sqrt(392)*1)/sqrt(4)))**2. 9522 Simplify (2*-1*(sqrt(10)*-3 - sqrt(10)))/(((sqrt(80)*-2)/sqrt(2))/sqrt(8)). -4*sqrt(2) Simplify -5*((sqrt(448) + 1)*-1*-5*-5)**2. -1403125 - 50000*sqrt(7) Simplify -2*(sqrt(80)/sqrt(8)*1)/(-4*sqrt(32)). sqrt(5)/8 Simplify (sqrt(91)/(sqrt(567)*-3 - sqrt(7) - sqrt(7) - sqrt(7) - sqrt(7)) - (sqrt(130) - -4*2*sqrt(130))/sqrt(10))*2. -560*sqrt(13)/31 Simplify (sqrt(209)/(sqrt(132)/sqrt(108) + sqrt(11)))**2 + sqrt(190)/(sqrt(10) - 1*sqrt(1210) - sqrt(10)). -sqrt(19)/11 + 171/16 Simplify (-4 + (0 + 4 + (sqrt(1088) - 2*sqrt(1088)) - (sqrt(1088) - (-1 + sqrt(1088) + 1 + sqrt(1088)) - (2 + sqrt(1088) + 1 + sqrt(1088)))))**2. 96*sqrt(17) + 4361 Simplify (3*((sqrt(209) - 2*sqrt(209)) + sqrt(209)) - -5*-2*sqrt(209))/((-6*(sqrt(121) - (sqrt(121) + sqrt(121)*1) - sqrt(121)))/sqrt(11)). -5*sqrt(19)/6 Simplify -3 + ((1 + sqrt(68))**2 - sqrt(68)) + (sqrt(612) + sqrt(612) + -2 + 5 - sqrt(612))**2. 38*sqrt(17) + 687 Simplify 4*(-2*(2 + sqrt(76) + -3)*3 + -4)**2. -192*sqrt(19) + 10960 Simplify 4 + ((sqrt(1539) + -2)*-2)**2 + -4. -144*sqrt(19) + 6172 Simplify ((2*(-2*sqrt(96) - sqrt(96)) + sqrt(96) - (sqrt(96) + (sqrt(96) - (sqrt(96) + sqrt(96)*2)))*-2)/((-1*sqrt(128) - sqrt(128) - sqrt(128))*-3))**2. 49/108 Simplify ((3 + sqrt(19) + -4)**2 - sqrt(19) - sqrt(19)) + -1 + 6*(sqrt(19) + -1) + 5. 2*sqrt(19) + 18 Simplify -5 + ((sqrt(162) + -5)*-4)**2*-5. -14965 + 7200*sqrt(2) Simplify ((sqrt(120)*-1 + sqrt(120))/sqrt(5) + sqrt(384)*-3)/(3*sqrt(576)/sqrt(12)). -2*sqrt(2) Simplify (-3 + sqrt(7) + sqrt(7)*2*-6)**2 + (sqrt(175) + 1 - sqrt(7)) + (((2*sqrt(70) - sqrt(70)) + sqrt(70))/sqrt(10))**2 + -4. 70*sqrt(7) + 881 Simplify ((sqrt(13) + sqrt(13) + sqrt(13) + 2 + -5)**2 + -3 - (-4 + sqrt(3328) + sqrt(52)))*-4. -508 + 144*sqrt(13) Simplify ((3*(sqrt(102) + 3*sqrt(102) - sqrt(102) - sqrt(102))*2)/(-2*-2*sqrt(600)))**2. 153/100 Simplify 5*(sqrt(468) + 2) + (-5 + sqrt(468) + 1)**2. -18*sqrt(13) + 494 Simplify (((sqrt(95) + sqrt(95) + 1*sqrt(95)*2 - sqrt(95)) + sqrt(95))/(sqrt(5) + -3*sqrt(45) - sqrt(5)))**2. 304/81 Simplify (2 + -4*(-1 + sqrt(11)))**2 + 5 - ((sqrt(66) + -2*(2*sqrt(66) + sqrt(66)) + sqrt(66) + sqrt(66))/(sqrt(384)*1))**2. -48*sqrt(11) + 13789/64 Simplify 3 + -2 + -2 + sqrt(288) + (4 + 1 + sqrt(288))**2. 132*sqrt(2) + 312 Simplify (sqrt(11) + sqrt(55)/sqrt(20) + sqrt(11) - sqrt(11))**2 + sqrt(11)*-2 + 5 + sqrt(11) - (2 + sqrt(11) + (0 + sqrt(44))**2). -65/4 - 2*sqrt(11) Simplify 5*-2*((sqrt(208))**2 + 2 + (sqrt(78)/sqrt(3) - sqrt(26))/sqrt(2)). -2100 Simplify ((4*sqrt(130)*-1 - sqrt(130))*6)/(sqrt(70)/((sqrt(77)*-1)/sqrt(11))). 30*sqrt(13) Simplify 5*(5 + 2 + sqrt(80) + (-6*(sqrt(80) + 1 + sqrt(80)) - sqrt(80) - sqrt(80))**2). 3380*sqrt(5) + 78615 Simplify (sqrt(245) + -2 + 4 - -5*(3 + sqrt(35)/sqrt(7)))**2. 408*sqrt(5) + 1009 Simplify (sqrt(99)*-1*-1 + -5 + -5)**2*6. -360*sqrt(11) + 1194 Simplify ((-4*sqrt(612)*5 - sqrt(612)) + 2 + -5)**2*2. 1512*sqrt(17) + 539802 Simplify (-2*(2 + -2 + sqrt(363) + 1))**2. 88*sqrt(3) + 1456 Simplify (sqrt(80) - (-3 + sqrt(80) + 1) - (sqrt(80) - ((sqrt(80) - (sqrt(80)*-1 + sqrt(80))) + 2)) - -5*(5 + sqrt(80) + sqrt(80) + -2))**2*-2. -16722 - 3040*sqrt(5) Simplify (1*(sqrt(78) - 1*sqrt(78)))/sqrt(6) - ((sqrt(1872) + 0)**2 + 2). -1874 Simplify ((sqrt(228) - (6*(1*sqrt(228) + sqrt(228)) - sqrt(228)))/sqrt(12) + -1 + 2*sqrt(57)/sqrt(3))**2. 16*sqrt(19) + 1217 Simplify -5*(((sqrt(112) - -2*sqrt(112) - sqrt(112)) + sqrt(112))*6)/(((1*sqrt(40) + sqrt(40))*6)/sqrt(10)). -15*sqrt(7) Simplify 3 + -1 + (sqrt(190)/(sqrt(20)/sqrt(2)) - (sqrt(171) - sqrt(171)*2))**2 + -2. 304 Simplify -2*-2*sqrt(288) + sqrt(18)/(sqrt(36)/(sqrt(4) + sqrt(16))). 51*sqrt(2) Simplify (-1*1*sqrt(143)*-2)/((sqrt(33) - sqrt(132)/sqrt(4))/sqrt(3) - sqrt(1584)*-1). sqrt(13)/6 Simplify (-6*(2 + (sqrt(1584) - (1 + sqrt(1584))) - sqrt(1584)) + -1 + (-4*(sqrt(1584) + sqrt(1584) + 1 - sqrt(1584)) - sqrt(1584)))**2. -264*sqrt(11) + 1705 Simplify (1*(((2*sqrt(2541) - sqrt(2541)) + sqrt(2541) + sqrt(2541) - sqrt(2541)) + sqrt(2541) - sqrt(2541)))/(sqrt(84)/(2*sqrt(1728))). 528*sqrt(3) Simplify -4*(1*((sqrt(325) + 0)*1 - sqrt(325))*5)**2*-2. 0 Simplify (3*2*sqrt(200)*-4*-6*-6)**2. 149299200 Simplify 4 + (sqrt(56)/(sqrt(24)/sqrt(3)) - (sqrt(28)/sqrt(4) + 4) - sqrt(21)/(sqrt(3) - (sqrt(27) + sqrt(81)/sqrt(3))/sqrt(9))). sqrt(7) Simplify (sqrt(171) - (-2*sqrt(171)*-3 - sqrt(171)) - (-1*(sqrt(171) + sqrt(171)*1) + sqrt(171)))/(sqrt(108)/sqrt(12)). -3*sqrt(19) Simplify -4*(1*((sqrt(175) - (sqrt(175) + -2) - sqrt(175))**2 - sqrt(7)) - sqrt(42)/(1*sqrt(6))*-6) + -3. -719 + 60*sqrt(7) Simplify (-3*((sqrt(1815)*-1 + sqrt(1815) - sqrt(1815)) + sqrt(1815) + sqrt(1815)))/(sqrt(24)/(sqrt(48)/(sqrt(6) + sqrt(96)))). -33*sqrt(5)/5 Simplify (((sqrt(4235)*-1 + sqrt(35))*-3)/(-3*sqrt(180)))**2. 175/9 Simplify (2*(sqrt(112) + (sqrt(112) + 1 + 2 + sqrt(112) - sqrt(112)) + -5 + -3))**2. -320*sqrt(7) + 1892 Simplify (sqrt(44)/(sqrt(2) - sqrt(98)*2))/((sqrt(2) - sqrt(50)*6)*-5). -sqrt(11)/1885 Simplify -4*3*(-4*(sqrt(2057) + 1*sqrt(2057) - sqrt(2057)))**2*-1. 394944 Simplify 2 + 4 + sqrt(11)*-2 + (sqrt(11)*1)**2*-1 + sqrt(77)/(2*sqrt(847) - sqrt(847)). -21*sqrt(11)/11 - 5 Simplify (sqrt(1331)*1*-1 + 2*sqrt(44)*1)**2 + -4 + 5. 540 Simplify (sqrt(102) - 5*-2*sqrt(102) - ((sqrt(102) + 1*sqrt(102))*1 + sqrt(102)))/((sqrt(120)/sqrt(5) + sqrt(24))/sqrt(4)*5). 4*sqrt(17)/5 Simplify (sqrt(99)*-1*5)/sqrt(9) + (sqrt(1584) + sqrt(1584) + -1 + -5 + sqrt(11) + -1)**2. -355*sqrt(11) + 6924 Simplify sqrt(931)*-1 + (sqrt(190) + -2*sqrt(190))/sqrt(10) + (((sqrt(209) + sqrt(209)*-2)*-1)/sqrt(11))**2 + 1. -8*sqrt(19) + 20 Simplify ((sqrt(605)*-1*-4 + -3)*-3)**2 + 5. -2376*sqrt(5) + 87206 Simplify (1*sqrt(20)/sqrt(4) + 2)**2 - (-1 + sqrt(405) + -3)**2. -412 + 76*sqrt(5) Simplify (-1*4*(2 + (sqrt(63)/sqrt(441) - (2 + sqrt(252)))))**2. 26896/7 Simplify (3*(sqrt(216) + 1*sqrt(216)))/((1*sqrt(550))/sqrt(11)). 36*sqrt(3)/5 Simplify 0 + -2 + (sqrt(1584)*-3)**2 + 3 + -3. 14254 Simplify (-3 + 6*(sqrt(500) - (sqrt(500) + -1 + sqrt(500))) - ((sqrt(500) - -2*sqrt(500)) + -4)*3)**2. -4500*sqrt(5) + 112725 Simplify ((2*sqrt(240)*5)/sqrt(10))/(-3*(sqrt(12) - (sqrt(12) - (sqrt(588)*-1 - sqrt(588))) - sqrt(12))). 2*sqrt(2)/9 Simplify 5*(sqrt(19) + 2)*-5 - sqrt(114)/(4*sqrt(18)/sqrt(3)). -101*sqrt(19)/4 - 50 Simplify -1 + (((sqrt(98) + -1)*-6 - sqrt(98)) + (sqrt(98) - (-5 + 1*sqrt(98))) + sqrt(98))**2 + -2 + -5. -924*sqrt(2) + 3641 Simplify 3 + -1 + 3*(sqrt(175) - (sqrt(175) - (sqrt(175) + 1*sqrt(175)) - sqrt(175))*-6)**2. 63527 Simplify (((sqrt(352)*1)/sqrt(8)*-5)/(sqrt(64)*-3 + -2*(sqrt(16) + sqrt(4))))**2. 275/324 Simplify ((sqrt(77) + 3*(sqrt(77) + 2*sqrt(77) + sqrt(77)) + sqrt(77))/(1*sqrt(252))*-6)**2. 2156 Simplify ((-2*((sqrt(209)*2 - sqrt(209)) + sqrt(209)))/sqrt(11) - (4 + (sqrt(76) + sqrt(19) - sqrt(19)))**2*4)*6. -2208 - 408*sqrt(19) Simplify 2*((sqrt(84) + sqrt(84) + -3*sqrt(84)*1)/sqrt(6))/(-4*1*sqrt(7)*-6). -sqrt(2)/12 Simplify 0 + (-1*6*(sqrt(102) - -2*sqrt(102)))/(sqrt(24) - ((sqrt(216) + 2*sqrt(216) + sqrt(216))/sqrt(9) + sqrt(24))). 9*sqrt(17)/4 Simplify (-2 + 3*5*(2 + sqrt(171) + 4))**2. 7920*sqrt(19) + 46219 Simplify (-5*(-2 + 1*sqrt(1331) + (sqrt(1331) + 0)*3))**2. -4400*sqrt(11) + 532500 Simplify (2 + (-6*sqrt(12)*-2*-3)/(sqrt(30)/(sqrt(5)*-2) + sqrt(726) + (sqrt(726) - (sqrt(726) - 1*sqrt(726))) + sqrt(726)))**2. -288*sqrt(2)/65 + 27268/4225 Simplify -2*((sqrt(99) + 1)*1 + sqrt(88)/(sqrt(8) - (sqrt(8)*-1 - sqrt(8))*-4 - sqrt(8))). -23*sqrt(11)/4 - 2 Simplify 4*((sqrt(605) + -1 - sqrt(605)) + -3)*5. -80 Simplify (3 + ((0 + sqrt(1872) - sqrt(1872)) + -2 - sqrt(1872)) - (-2*sqrt(1872) + 2)*2)**2. -216*sqrt(13) + 16857 Simplify 3*(2 + 2 + sqrt(200)) + 2 + 3. 17 + 30*sqrt(2) Simplify -5 + ((sqrt(68)*-3 - sqrt(17)) + sqrt(17) + -1*sqrt(17) + -4)**2 + 0. 56*sqrt(17) + 844 Simplify -4 + (sqrt(13) + 0)*-2 + 3*sqrt(39)/sqrt(3)*-3 + -4. -11*sqrt(13) - 8 Simplify (5*sqrt(100)*1)/(sqrt(5) + sqrt(605)*2 + sqrt(605) - (sqrt(180) + sqrt(45))). 2*sqrt(5)/5 Simplify (4*(3 + -3 + -1*sqrt(539) + 1))**2. -224
{ "pile_set_name": "DM Mathematics" }
3e Convert 3 (base 9) to base 2. 11 Convert -11 (base 5) to base 16. -6 35 (base 16) to base 2 110101 Convert -3 (base 11) to base 12. -3 0 (base 16) to base 3 0 120 (base 3) to base 16 f Convert -10 (base 4) to base 14. -4 Convert 0 (base 8) to base 13. 0 Convert 55 (base 8) to base 14. 33 Convert 7 (base 11) to base 13. 7 Convert 4 (base 12) to base 11. 4 -22 (base 3) to base 7 -11 -101101 (base 2) to base 13 -36 Convert 1 (base 3) to base 9. 1 Convert 39 (base 14) to base 15. 36 -2a (base 16) to base 8 -52 102 (base 4) to base 5 33 Convert 1 (base 16) to base 7. 1 -20 (base 12) to base 11 -22 1110 (base 3) to base 15 29 a (base 14) to base 6 14 What is -1001 (base 2) in base 10? -9 Convert -13 (base 9) to base 15. -c Convert -5 (base 14) to base 11. -5 5 (base 15) to base 4 11 What is 3 (base 5) in base 2? 11 Convert 24 (base 10) to base 3. 220 Convert -4 (base 6) to base 10. -4 What is -1 (base 5) in base 3? -1 What is -2 (base 13) in base 3? -2 Convert 0 (base 6) to base 8. 0 -11 (base 3) to base 11 -4 4 (base 10) to base 14 4 What is 3103 (base 4) in base 15? e1 What is 67 (base 16) in base 15? 6d What is 200 (base 5) in base 11? 46 What is -1 (base 14) in base 16? -1 Convert 1 (base 3) to base 16. 1 What is -1000 (base 2) in base 10? -8 Convert d (base 14) to base 12. 11 What is -4 (base 12) in base 7? -4 Convert 2 (base 13) to base 10. 2 11 (base 9) to base 8 12 What is 1 (base 12) in base 5? 1 What is 5 (base 13) in base 12? 5 Convert 2 (base 13) to base 10. 2 What is 157 (base 9) in base 16? 85 What is -211 (base 7) in base 4? -1222 Convert -100 (base 2) to base 3. -11 Convert 115 (base 6) to base 10. 47 480 (base 9) to base 2 110001100 146 (base 10) to base 3 12102 Convert 6 (base 7) to base 5. 11 What is 3 (base 9) in base 12? 3 Convert 3 (base 14) to base 11. 3 Convert -202 (base 3) to base 13. -17 What is 142 (base 6) in base 14? 46 What is -3 (base 14) in base 7? -3 What is -20 (base 7) in base 8? -16 Convert -1100 (base 2) to base 16. -c What is e2 (base 16) in base 7? 442 7 (base 10) to base 8 7 Convert -32 (base 13) to base 16. -29 Convert -123 (base 6) to base 4. -303 What is 10 (base 5) in base 12? 5 What is 1 (base 9) in base 2? 1 1 (base 14) to base 4 1 What is 11c (base 14) in base 5? 1342 -111 (base 4) to base 15 -16 Convert 22 (base 11) to base 13. 1b 100 (base 3) to base 7 12 Convert -106 (base 9) to base 13. -69 Convert 2 (base 11) to base 8. 2 What is 100 (base 2) in base 5? 4 11101101 (base 2) to base 3 22210 What is 1 (base 8) in base 9? 1 What is -22 (base 5) in base 16? -c What is -a (base 12) in base 16? -a Convert -1133 (base 4) to base 7. -164 What is -33 (base 5) in base 16? -12 -224 (base 5) to base 13 -4c -2 (base 5) to base 16 -2 2 (base 16) to base 13 2 What is 6 (base 11) in base 5? 11 What is 19 (base 14) in base 5? 43 What is -3 (base 5) in base 4? -3 Convert -3 (base 9) to base 3. -10 What is b (base 13) in base 6? 15 -5 (base 12) to base 3 -12 Convert -2 (base 8) to base 10. -2 -30 (base 7) to base 3 -210 Convert -1 (base 13) to base 5. -1 What is -41 (base 11) in base 9? -50 Convert 96 (base 11) to base 16. 69 Convert 22 (base 5) to base 4. 30 Convert 4 (base 8) to base 15. 4 Convert -1 (base 12) to base 10. -1 -22 (base 6) to base 3 -112 3 (base 16) to base 6 3 Convert 3 (base 14) to base 4. 3 -2 (base 8) to base 6 -2 Convert -17 (base 10) to base 12. -15 Convert 6 (base 16) to base 6. 10 0 (base 9) to base 6 0 45 (base 16) to base 10 69 Convert 1 (base 4) to base 9. 1 30 (base 6) to base 16 12 -23 (base 4) to base 15 -b -ac (base 14) to base 3 -12122 What is 2 (base 4) in base 8? 2 What is -331 (base 5) in base 6? -231 Convert 33 (base 10) to base 15. 23 Convert -4b (base 13) to base 4. -333 -1101 (base 5) to base 16 -97 What is 33 (base 7) in base 16? 18 Convert -4 (base 13) to base 4. -10 What is -214 (base 6) in base 5? -312 What is -11 (base 3) in base 4? -10 What is 2 (base 3) in base 8? 2 What is 1101111 (base 2) in base 6? 303 32 (base 5) to base 6 25 0 (base 10) to base 5 0 Convert -3 (base 8) to base 5. -3 Convert 4 (base 12) to base 11. 4 What is -3 (base 6) in base 13? -3 What is f (base 16) in base 3? 120 What is 9 (base 13) in base 7? 12 3 (base 4) to base 5 3 Convert -156 (base 15) to base 3. -102100 Convert -10 (base 5) to base 12. -5 What is -a (base 14) in base 6? -14 What is -31 (base 12) in base 14? -29 10 (base 12) to base 2 1100 Convert -2d (base 16) to base 2. -101101 What is 0 (base 13) in base 5? 0 8 (base 9) to base 12 8 -101 (base 2) to base 11 -5 -200 (base 3) to base 4 -102 -11 (base 2) to base 9 -3 Convert -29 (base 15) to base 10. -39 Convert -48 (base 9) to base 4. -230 0 (base 4) to base 13 0 -2c (base 13) to base 15 -28 What is 5 (base 13) in base 11? 5 Convert -6 (base 16) to base 7. -6 3 (base 7) to base 6 3 What is -20 (base 6) in base 11? -11 What is 15 (base 8) in base 4? 31 -6 (base 14) to base 4 -12 Convert -13 (base 11) to base 6. -22 What is 22 (base 7) in base 14? 12 What is -72 (base 13) in base 11? -85 Convert 2 (base 10) to base 6. 2 What is -27 (base 11) in base 13? -23 What is 70 (base 10) in base 2? 1000110 Convert 13 (base 13) to base 10. 16 What is -51 (base 14) in base 16? -47 What is f (base 16) in base 13? 12 What is 5 (base 14) in base 2? 101 Convert 0 (base 14) to base 6. 0 What is 3 (base 6) in base 9? 3 3 (base 5) to base 7 3 What is 1 (base 16) in base 5? 1 What is 74 (base 14) in base 7? 204 What is 2 (base 12) in base 7? 2 What is 23 (base 10) in base 2? 10111 What is -103 (base 10) in base 11? -94 Convert -3 (base 16) to base 12. -3 Convert -102 (base 8) to base 6. -150 -8 (base 14) to base 2 -1000 Convert 1100 (base 2) to base 3. 110 0 (base 9) to base 3 0 Convert 88 (base 9) to base 16. 50 -3 (base 6) to base 13 -3 What is 1 (base 2) in base 14? 1 Convert a5 (base 12) to base 7. 236 97 (base 15) to base 16 8e What is -1 (base 9) in base 12? -1 Convert -16 (base 11) to base 16. -11 3 (base 14) to base 15 3 Convert -6 (base 11) to base 12. -6 What is -52 (base 8) in base 13? -33 Convert 8 (base 9) to base 2. 1000 What is -1 (base 16) in base 7? -1 -10 (base 4) to base 6 -4 Convert -41 (base 7) to base 15. -1e -54 (base 8) to base 15 -2e What is 1000001 (base 2) in base 16? 41 What is -3 (base 6) in base 12? -3 -10 (base 4) to base 2 -100 What is 38 (base 14) in base 9? 55 Convert 12 (base 7) to base 11. 9 Convert 6 (base 7) to base 11. 6 -25 (base 12) to base 6 -45 2 (base 6) to base 10 2 -35 (base 11) to base 15 -28 4 (base 8) to base 6 4 93 (base 11) to base 2 1100110 a (base 13) to base 16 a What is 4 (base 14) in base 8? 4 Convert 5 (base 10) to base 3. 12 1 (base 11) to base 5 1 Convert -1 (base 11) to base 2. -1 3 (base 6) to base 12 3 -7 (base 14) to base 16 -7 Convert -3 (base 7) to base 15. -3 12 (base 7) to base 12 9 Convert -15b (base 12) to base 3. -21222 -16 (base 9) to base 15 -10 Convert 3 (base 4) to base 11. 3 Convert -2 (base 3) to base 15. -2 Convert -7 (base 12) to base 11. -7 Convert -7d (base 14) to base 7. -216 -16 (base 14) to base 11 -19 What is a (base 12) in base 5? 20 What is 5 (base 11) in base 7? 5 -5 (base 7) to base 16 -5 What is dc (base 16) in base 11? 190 Convert -102211 (base 3) to base 13. -1b7 What is 1 (base 6) in base 7? 1 What is -3 (base 10) in base 3? -10 What is -82 (base 11) in base 8? -132 -2 (base 10) to base 16 -2 What is -77 (base 8) in base 9? -70 What is -1011010 (base 2) in base 4? -1122 Convert 410 (base 7) to base 4. 3023 Convert 164 (base 7) to base 9. 115 What is 134 (base 10) in base 14? 98 Convert -123 (base 14) to base 13. -146 Convert -55 (base 8) to base 2. -101101 -3 (base 16) to base 3 -10 What is 1 (base 16) in base 10? 1 What is 12 (base 14) in base 2? 10000 214 (base 7) to base 3 11001 Convert 0 (base 12) to base 3. 0 -8a (base 15) to base 9 -154 What is 5 (base 10) in base 2? 101 3 (base 8) to base 12 3 What is -221 (base 5) in base 16? -3d What is -36 (base 12) in base 14? -30 Convert 6 (base 13) to base 15. 6 -17 (base 8) to base 7 -21 -11001 (base 2) to base 16 -19 -11 (base 3) to base 10 -4 47 (base 8) to base 13 30 178 (base 9) to base 13 b9 Convert 12 (base 7) to base 5. 14 Convert -2 (base 7) to base 3. -2 Convert 2 (base 3) to base 7. 2 What is 111 (base 2)
{ "pile_set_name": "DM Mathematics" }
lacement from {q: 18, f: 2}. Give prob of sequence qffq. 1/190 Calculate prob of sequence hlhl when four letters picked without replacement from {l: 7, h: 2}. 1/36 Two letters picked without replacement from fdmyyfp. What is prob of sequence py? 1/21 Three letters picked without replacement from oqoqooooqoo. What is prob of sequence oqo? 28/165 Calculate prob of sequence xy when two letters picked without replacement from {j: 2, y: 1, o: 1, m: 2, x: 2}. 1/28 Calculate prob of sequence hold when four letters picked without replacement from okkkhkdlko. 1/2520 Calculate prob of sequence eeaa when four letters picked without replacement from eeakakekk. 1/252 Four letters picked without replacement from gghwhgghwggmwmrgh. Give prob of sequence whhh. 3/2380 What is prob of sequence ccc when three letters picked without replacement from {c: 9}? 1 Two letters picked without replacement from ccrcsrscscrf. Give prob of sequence cc. 5/33 Two letters picked without replacement from snmmssmsmssss. What is prob of sequence nm? 1/39 Calculate prob of sequence ssf when three letters picked without replacement from psffssffpsffpsspfff. 15/323 Calculate prob of sequence tvaa when four letters picked without replacement from {q: 1, t: 1, d: 3, a: 3, v: 5}. 1/572 Three letters picked without replacement from gwrwrwwwgwwww. What is prob of sequence wgr? 3/143 Calculate prob of sequence krrp when four letters picked without replacement from ikpkrrrkpprprpk. 10/819 Four letters picked without replacement from iuiiiujjcju. Give prob of sequence juii. 3/220 Four letters picked without replacement from zdqzqkdbzbkjdb. Give prob of sequence qbjd. 3/4004 Four letters picked without replacement from iiiaiaaaiiiia. What is prob of sequence iaai? 28/429 Three letters picked without replacement from xxcxwxxxcxwwxxxwxwx. Give prob of sequence cwx. 20/969 Calculate prob of sequence fzf when three letters picked without replacement from {z: 3, f: 7, b: 4}. 3/52 Calculate prob of sequence ycp when three letters picked without replacement from ppcyccyyc. 1/21 Calculate prob of sequence zsss when four letters picked without replacement from {z: 5, s: 8}. 14/143 Three letters picked without replacement from {h: 2, r: 5, d: 2}. What is prob of sequence hhr? 5/252 What is prob of sequence mvv when three letters picked without replacement from vvm? 1/3 Four letters picked without replacement from {q: 10, s: 4, y: 2}. What is prob of sequence yqsq? 3/182 Two letters picked without replacement from {o: 9, g: 1, v: 2, y: 3, u: 3, w: 1}. Give prob of sequence uo. 3/38 Two letters picked without replacement from allala. Give prob of sequence la. 3/10 Calculate prob of sequence xx when two letters picked without replacement from xxbxe. 3/10 What is prob of sequence nxc when three letters picked without replacement from xnxnnxcc? 3/56 Two letters picked without replacement from {n: 2, i: 2, l: 1}. Give prob of sequence il. 1/10 Calculate prob of sequence pv when two letters picked without replacement from plrlv. 1/20 Four letters picked without replacement from {r: 8, g: 5, o: 4}. What is prob of sequence rgro? 1/51 Calculate prob of sequence pe when two letters picked without replacement from {t: 4, m: 1, e: 2, p: 1}. 1/28 Four letters picked without replacement from mqxqbxxmb. Give prob of sequence mqmx. 1/252 Two letters picked without replacement from {e: 1, v: 1, w: 4, x: 1, y: 1}. Give prob of sequence xv. 1/56 What is prob of sequence tw when two letters picked without replacement from mttctwl? 1/14 Two letters picked without replacement from nblnnnbblbllnb. What is prob of sequence ll? 6/91 Three letters picked without replacement from htxfffthhk. Give prob of sequence fxh. 1/80 Four letters picked without replacement from {p: 3, x: 1, d: 5}. What is prob of sequence pdpd? 5/126 Three letters picked without replacement from ttp. What is prob of sequence ttp? 1/3 Two letters picked without replacement from {q: 5, x: 4, u: 5}. Give prob of sequence xq. 10/91 Calculate prob of sequence nn when two letters picked without replacement from nzqqzzqnqz. 1/45 Three letters picked without replacement from {o: 2, f: 2, s: 1, t: 3, d: 3, k: 4}. Give prob of sequence kds. 2/455 What is prob of sequence elze when four letters picked without replacement from {e: 2, z: 4, l: 7}? 7/2145 Calculate prob of sequence ya when two letters picked without replacement from yocioooacaoooaaa. 1/48 Calculate prob of sequence lvk when three letters picked without replacement from {v: 1, t: 1, l: 2, n: 1, r: 1, k: 2}. 1/84 What is prob of sequence dr when two letters picked without replacement from deabexar? 1/56 Two letters picked without replacement from fyzsvuy. What is prob of sequence uv? 1/42 What is prob of sequence buu when three letters picked without replacement from {b: 1, u: 2}? 1/3 What is prob of sequence xnln when four letters picked without replacement from {n: 12, l: 1, x: 7}? 77/9690 Two letters picked without replacement from {x: 3, g: 2, v: 1, i: 1}. Give prob of sequence xx. 1/7 Calculate prob of sequence be when two letters picked without replacement from ebbtbqbtzebtzztbhq. 2/51 Two letters picked without replacement from bbbbbb. Give prob of sequence bb. 1 Two letters picked without replacement from {p: 5, y: 7, d: 2}. What is prob of sequence yd? 1/13 Two letters picked without replacement from {a: 3, o: 4}. What is prob of sequence oa? 2/7 What is prob of sequence wxx when three letters picked without replacement from xwooxoxoxx? 1/36 Three letters picked without replacement from ooorrkkorrrooo. Give prob of sequence rro. 5/78 Three letters picked without replacement from {v: 2, w: 1, m: 2, x: 1, i: 2, g: 1}. What is prob of sequence gxv? 1/252 What is prob of sequence ccsc when four letters picked without replacement from {c: 5, s: 15}? 5/646 Two letters picked without replacement from {h: 3, u: 8}. What is prob of sequence uh? 12/55 Calculate prob of sequence llee when four letters picked without replacement from leellee. 3/35 Three letters picked without replacement from {j: 1, x: 2, h: 1, q: 2, r: 1, d: 1}. Give prob of sequence hjd. 1/336 Three letters picked without replacement from {g: 3, o: 1, e: 5, z: 7}. Give prob of sequence ggg. 1/560 Two letters picked without replacement from swxwsxmwhxxwwmmx. What is prob of sequence sw? 1/24 Two letters picked without replacement from siiqssuusqsuq. Give prob of sequence qu. 3/52 Four letters picked without replacement from {y: 3, z: 1, s: 1, c: 8, j: 4}. Give prob of sequence cyjs. 1/595 Two letters picked without replacement from {u: 3, g: 1, s: 1, n: 3, y: 6, j: 3}. What is prob of sequence nn? 3/136 What is prob of sequence exx when three letters picked without replacement from {x: 6, d: 6, e: 7}? 35/969 Four letters picked without replacement from pppp. Give prob of sequence pppp. 1 Three letters picked without replacement from iviihiivhvvvhh. What is prob of sequence hhi? 5/182 Three letters picked without replacement from hxbxaa. Give prob of sequence aax. 1/30 Three letters picked without replacement from {a: 3, z: 1, m: 3, k: 7, y: 4}. What is prob of sequence mzk? 7/1632 Two letters picked without replacement from wswnnswnwwwn. What is prob of sequence sw? 1/11 Four letters picked without replacement from gppppzgggzpsppps. What is prob of sequence gsgp? 2/455 Four letters picked without replacement from {m: 3, i: 8, p: 2, q: 2}. What is prob of sequence iipi? 4/195 Three letters picked without replacement from {j: 2, b: 1, n: 1, q: 1, x: 2}. What is prob of sequence xnx? 1/105 What is prob of sequence ej when two letters picked without replacement from {k: 6, p: 1, e: 3, j: 2}? 1/22 Two letters picked without replacement from ststttsqqttt. Give prob of sequence tt. 7/22 Two letters picked without replacement from ppannaoafpnanpa. Give prob of sequence aa. 2/21 Four letters picked without replacement from nqqntqqt. What is prob of sequence qtqn? 1/35 Two letters picked without replacement from {u: 2, i: 2, y: 1, v: 1}. Give prob of sequence vi. 1/15 What is prob of sequence ccc when three letters picked without replacement from zcczzczczz? 1/30 Calculate prob of sequence vu when two letters picked without replacement from uvv
{ "pile_set_name": "DM Mathematics" }
-5 Solve -3*x + 6*d = -0*d - 3, -3*x = 4*d + 17 for x. -3 Solve 3*t - 11 = 82*h - 87*h, 15 = 3*h + 6*t for h. 1 Solve 15*c = 12*c - 4*k + 6, 2*k = c + 8 for c. -2 Solve -u + 2 = -4*m, -8*m + 3*m = -4*u - 3 for u. -2 Solve -3*s + 14 = 2*d, 0 = -9*d + 5*d - 5*s + 26 for d. 4 Solve -5*w - 3*k = -10, 42*k - 39*k = -4*w + 11 for w. -1 Solve 4*g - 34 = 3*h, -5*h + 4*g = -0*g + 38 for h. -2 Solve 172 = 5*s + j + 139, 0 = -5*s - 2*j + 31 for s. 7 Solve 5*f = 18*p - 21*p + 1, -5*p + f - 17 = 0 for p. -3 Solve -4*w + 8 = 0, 4*g = 2*g + 5*w - 10 for g. 0 Solve -4*o = 2*k - 6*o - 10, -2*k = -5*o - 13 for k. 4 Solve -3*q + 5*q + 3*p - 11 = 0, -2*p + 10 = 0 for q. -2 Solve 30*m + 9 = 5*s + 31*m, 5*m - 25 = -5*s for s. 1 Solve -5*f - 6 = 4*a, 4*f - 24 = 6*a - 2*a for a. -4 Solve 3*i = 15, -4*i + 26 = 2*n + 2 for n. 2 Solve 3*b - b + 2*u = -14, 5*b - 5*u = -15 for b. -5 Solve -5*j - 4 = -8*j - s, -s + 1 = 2*j for j. 3 Solve 4*c + 28 = 2*u + 3*u, 2*u = 4*c + 28 for u. 0 Solve p - 5*v - 20 = 0, -p = v - 2*v - 4 for p. 0 Solve 0*h = -b + 3*h + 6, -2*b = 2*h + 20 for b. -6 Solve 3*r - 4*r + o = 1, 4*o - 8 = 0 for r. 1 Solve r - 11 = -5*n, 2*n - 6 = 2*r - 4 for n. 2 Solve 5*b = -6*r + 2*r - 1, -3 = -3*r - 5*b for r. -4 Solve 0 = -3*q + 24*h - 29*h - 3, 2*q - 4*h - 20 = 0 for q. 4 Solve q - 5*i - 25 = -3*q, -3*q + 20 = -5*i for q. 5 Solve -10*s + 11*s - 4*h = -22, 5*h = 25 for s. -2 Solve z - 3*z = 4*w + 2, 0 = -w + 1 for z. -3 Solve 2*r - 4*j + 10 = 0, 0 = 4*r - 3*r - 4*j + 5 for r. -5 Solve -2*d + x - 12 = 0, -d + 4*x - 32 = 3*d for d. -4 Solve 3*v = 5*z - 21, z - 10*v + 13*v + 3 = 0 for z. 3 Solve 0*t = -3*t + d - 1, 4*d + 11 = -3*t for t. -1 Solve 0 = 2*w + 2*j + 2, 3*w - 4*j + 5 + 5 = 0 for w. -2 Solve 4*r - 4*d = 0, -r - 4 + 1 = -2*d for r. 3 Solve 15 = 5*k + b + 5, 2*k + b = 7 for k. 1 Solve -5*v + 5*w = -20, 0 = -2*v - w + 3 + 5 for v. 4 Solve 3*a = -4*x + 1, 4*a - 5*a + x = 2 for a. -1 Solve -2*i - 3*i - 11 = -3*y, 6 = -2*i + 2*y for i. -1 Solve -5*n + 3*w = -26, -17*n - 3*w = -19*n + 14 for n. 4 Solve g + 8 = -2*x, 4*x - 2*x - 2*g - 4 = 0 for x. -2 Solve h - 11 = q + 6*h, -4*h = 5*q + 13 for q. -1 Solve -2*k - 1 - 18 = 5*z, -3*z - 3*k = 6 for z. -5 Solve 0 = 5*x + 5*q + 5, 10 - 26 = -5*x + 2*q for x. 2 Solve 0 = -2*h + 14, -11*a + 3*h - 6 = -14*a for a. -5 Solve -3*s - 5 = -5*z, 5*s - 21 = 22*z - 21*z for z. 4 Solve -3*t + 2 = 2*c, -14 = 2*c + t - 2*t for c. -5 Solve -23 = -4*t + 4*d - 7, 4*t - 15 = 5*d for t. 5 Solve -3*j = -3*c + 15, -6*j + 2 = -4*j + 2*c for j. -2 Solve 134*q - i + 8 = 137*q, -q = -2*i + 2 for q. 2 Solve v + w = 5, 0*w + 2*w - 20 = -4*v for v. 5 Solve p = 5*j - 28, -3*j - 3*p + 4 + 2 = 0 for j. 5 Solve -v = v + 2*h - 10, -2*v - 3*h + 12 = 0 for v. 3 Solve -2*s + 4*h + 4 = -4*s, -3*s - 3*h = 0 for s. 2 Solve -5*b = 3*i - 13, -3*b = 4*i + 22 - 32 for i. 1 Solve 0 = -3*w + 3*v - 9, 0*v - 1 = -5*w - 3*v for w. -1 Solve 31*x = -5*g + 33*x + 14, g - 4*x = 10 for g. 2 Solve -4*r + 2 - 4 = -2*w, -w - 2*r = -9 for w. 5 Solve 4*n + 4*r = -32, -n + 2*r + 1 + 3 = 0 for n. -4 Solve -5*o + 15 = 4*w - 2*w, 0 = 4*o + 4*w for o. 5 Solve -2*c = 4, q = 4*c - 0*c + 3 for q. -5 Solve -14*z + 18*z - 2*l - 16 = 0, 5*z - 5 = -5*l for z. 3 Solve 7*o + v = 3*o + 1, -5*o = 4*v - 4 for o. 0 Solve 5*k - 5*d = 45, 5*k + 2*d - 13 = -d for k. 5 Solve 0 = -4*u + 3*u - 4*x - 18, 3*x + 15 = 0 for u. 2 Solve 4*t + 16 = 3*i + 8, -i = -5*t + 1 for t. 1 Solve 4*j = j - 4*f + 20, 3*j = -3*f + 15 for j. 0 Solve -53*f + 48*f - 3*r + 31 = 0, 3*f + 4*r - 23 = 0 for f. 5 Solve 49*q - 44*q = -z - 16, 12 = 3*z for q. -4 Solve 5 = -4*v - v - 2*w, 0 = -3*v - 5*w - 3 for v. -1 Solve 5*b - f = f - 21, -3*b - 15 = -2*f for b. -3 Solve 0 = 3*o - 13*i + 14*i + 14, 3*o - i + 16 = 0 for o. -5 Solve -5*k + 66 = -2*s + 75, 0 = 4*k + 2*s for k. -1 Solve 5*l + 21 = -13*d + 12*d, 4*l + 16 = 0 for d. -1 Solve -3*i + s + 4 = 0, -1 + 3 = 3*i + s for i. 1 Solve 0 = -y - g, 8*g - 20 = -y + 3*g for y. -5 Solve a = 2*a - 5*k + 15, 6 = 2*k for a. 0 Solve -7 = -4*r - 3*j - 39, -4*r = -5*j for r. -5 Solve d = -5, o - 6 = 2*d + 7 for o. 3 Solve 0 = -4*q - 2*w + 4, 0 = q - w + 6*w - 19 for q. -1 Solve 5*b + 14 = c - 0*c, 7 = -2*b - c for b. -3 Solve 0*f + 2*f + 4*x + 12 = 0, -2*x = -4*f - 14 for f. -4 Solve 2*a + 2*m - 6*m = -16, -m + 4 = -a for a. 0 Solve 4*k - 3*g = 2*g + 5, -3*g = 5*k - 34 for k. 5 Solve -3*l + 0*l = 3*o - 12, 0 = 2*o - 3*l - 3 for o. 3 Solve -17*x = -5*a - 13*x + 2, 2*a - 2*x = 0 for a. 2 Solve 0 = 2*s - 3*s - f - 5, 12 = -3*f for s. -1 Solve -o - 10 = 2*v, 3*o = -4*v + 6*o for v. -3 Solve -9 = 5*m - u, -3*m - 3*u + 8 + 1 = 0 for m. -1 Solve -b - 4*m = 2*b - 16, -b = -3*m + 12 for b. 0 Solve -z = -5*r + 31, -z = -6*z - 30 for r. 5 Solve -2*o - 2*o = -4*t, -3*o + t - 4 = 0 for o. -2 Solve 66*l - 71*l + i = 9, 3*l - 5*i = -1 for l. -2 Solve -5*b + 0*b + 5*d - 10 = 0, -5*b + 4*d - 8 = 0 for b. 0 Solve 0 = 2*d - 10, 0 = 2*a - 15*d + 13*d + 8 for a. 1 Solve -48 = 4*a + 4*q, 18 = -5*a - 4*q + 5*q for a. -5 Solve m + 7 = -3*n - 2*n, -2*m = -4*n for m. -2 Solve -8*p + 5*i + 5 = -13*p, 2*i + 8 = 0 for p. 3 Solve -z = -5*x + 3*z + 19, 13 = 4*x - z for x. 3 Solve -v + 3*a + 7 = 0, a - 23 + 42 = -3*v for v. -5 Solve 2*h - 4 = -5*c, 5*c = -11*h + 7*h - 2 for c. 2 Solve 2*v - 25 = 3*i - 2*v, 5*i + 3*v = -3 for i. -3 Solve 4*t - 24 = -26*j + 30*j, -3*j - 5*t = 10 for j. -5 Solve -c = 2*c + 4*p + 23, 2*p - 1 = c for c. -5 Solve 2*s - 10 = 2*n - 28, -3*n = -15 for s. -4 Solve 2*x = n - 3, -2*n + 5*n = 3 for x. -1 Solve 0 = -h + p + 6, 70*h - p - 8 = 67*h for h. 1 Solve 3*i - p = -15, -3*p = i - 8*p + 5 for i. -5 Solve n - 3*v - 535 = -524, -4*n + 12 = 4*v for n. 5 Solve 2*t = f - 17, 2*f + 14 - 28 = -t for t. -4 Solve 3*r - 11*g + 10*g + 4 = 0, 2*g - 8 = 3*r for r. 0 Solve -k + 1 = m - 1, 3*m = k - 2 for k. 2 Solve -5*f - u + 15 = 0, 0 = 3*f + f - 2*u + 2 for f. 2 Solve 2*d - 20 = 5*u, 2*u - 4*d - 3 = -27 for u. -2 Solve 5*b - 4*r = -25, -4*b - 4*r = r + 20 for b. -5 Solve -v - 4*r = 12, 5*v - r = -3 - 15 for v. -4 Solve -6*d = -3*d - 5*q + 6, 2*d + 4 = 5*q for d. -2 Solve -5*m + 3*v = 27, 38*m = 35*m - 3*v + 3 for m. -3 Solve -3*n + 5*n + 16 = -2*r, 0 = 3*n + 9 for r. -5 Solve -50 = 4*o - 3*f - 60, -5*o + 4*f = -12 for o. 4 Solve -4*w + 16 = 0, -2*r - 58 + 52 = -3*w for r. 3 Solve -33*b = -37*b - 4, b = 3*x - 7 for x. 2 Solve -25 = 5*n, -4*d + 2*n - 9 = -7 for d. -3 Solve -w = 5*c - 4, -5*w - 5*c = -4*c - 20 for w. 4 Solve 0 = 3*v + 9, -a - 3*v = 4*a - 16 for a. 5 Solve -3*v + 5*p = 3*p, v + p = -5 for v. -2 Solve -5*y + 4*h - 13 = 0, -2*y + 4*h = 1 - 3 for y. -5 Solve 5*t - 35 = 4*f, f + 3*f = -t - 17 for t. 3 Solve 3*f + 2*h = -1, -5*f - 5 = 13*h - 8*h for f. 1 Solve -2*d - 4 = j, 0 = -4*d - 0*j - 4*j - 8 for d. -2 Solve -u + b + 8 = 0, -b - 2*b = 3*u for u. 4 Solve -8*w + 3*o = -36, 3*w - 36 = 3*o - 15 for w. 3 Solve 3*m = 2*p + 2 - 1, 3*p = -m + 15 for p. 4 Solve 4*p - 5*j - 23 = 3*p, -p - 12 = 2*j for p. -2 Solve 2*d = -8*f + 10*f, 2*d + 4*f = -18 for d. -3 Solve y + j = -5, 8 = 3*y - 4*j + 16 for y. -4 Solve 10 = 4*g + 3*r - 1, -3*r - 14 = -g for g. 5 Solve b - 1 = -f, -b - b + 5*f = -23 for b. 4 Solve -4 = -t + 2*v - 2, 28 = 3*t + 5*v for t. 6 Solve 4*m - 9*m = t - 25, -4*m + 4 = 4*t for t. -5 Solve 2*o = 5*p + 14, -15*o = 3*p - 20*o + 16 for p. -2 Solve 0 = 4*i + 5*z + 33, 5*i - 2*z + 35 = -7*z for i. -2 Solve 3*j = 3*c - 30, 1 = -3*c - 8*j - 24 for c. 5 Solve 0 = -2*x - 2*s + 2, -53*x = -55*x - 3*s + 2 for x. 1 Solve 4*h = 3*f - 27 + 60, -5*h - 5*f - 20 = 0 for h. 3 Solve 0 = 3*v + o - 0 + 2, 4*v = 5*o - 28 for v. -2 Solve 3*j - 14 = -4*r - r, -3*r = 4*j - 15 for r. 1 Solve 5*y + m = -26, 5*m + 13 = -2*y + 2*m for y. -5 Solve s + 14*k - 3 = 9*k, -4*k + 10 = -3*s for s. -2 Solve -d = 2*d + 5*r + 5, -2*r = 3*d + 2 for d. 0 Solve -4*r + 5*t = -9*r + 25, 0 = -2*t + 6 for r. 2 Solve 0 = 5*a + 5*x - 30, -4*x = -5*a - 2*x + 9 for a. 3 Solve -2*v - 5*f - 9 = 0, -v + 81 = -5*f + 78 for v. -2 Solve 2*o - 4*y - 10 = 0, -o + 65*y = 66*y + 10 for o. -5 Solve 2*u + 9 = -y, -9*y + 5*y - 15 = u for u. -3 Solve -4*a + 23 = -7*v + 4*v, 3*a - 3*v = 18 for a. 5 Solve f + 7 = 4*y, 28*f = 26*f - 3*y + 19 for f. 5 Solve -2*c = -z + 8, -5*z - 5*c + 2 = -2*z for z. 4 Solve -n + 12 = 4*c - 14, 5*c = -3*n + 43 for
{ "pile_set_name": "DM Mathematics" }
42) assuming h is positive. h**29 Simplify (k/k**1)**37/((k/k**(-3/2))/((k**(-2/5)/k)/k)) assuming k is positive. k**(-49/10) Simplify (p**(2/73)/p)/p**(-5) assuming p is positive. p**(294/73) Simplify ((t*t/((t*t/(t**(3/2)/t)*t)/t)*t*t)**(1/15))**(-2/63) assuming t is positive. t**(-1/189) Simplify ((d*d**(1/2)*d)**7)**(-4/7) assuming d is positive. d**(-10) Simplify (d**(-2/93)/d)/d*d**(1/13)*d assuming d is positive. d**(-1142/1209) Simplify (w*w**(-2/5))**(1/19)/(w**(-3/5)/((w/(w*w**(-5/4)))/w*w)) assuming w is positive. w**(143/76) Simplify (u**2)**(2/15)*(u/(u*u**(-2/3))*u)**(1/3) assuming u is positive. u**(37/45) Simplify (t**(-3/4)*t*t*t**(-1/16))**(-1/3) assuming t is positive. t**(-19/48) Simplify (s*(s**(-1/5)*s*s*s)/s*s*s)**(1/28) assuming s is positive. s**(6/35) Simplify ((p**(-1)/p)**(-35/2))**(2/47) assuming p is positive. p**(70/47) Simplify (t**18/t)**(2/129) assuming t is positive. t**(34/129) Simplify a*a**(4/3)*a*a*a*a*a/a**4*a*a*a**(2/9)*a*a**(-2)*a assuming a is positive. a**(50/9) Simplify (r**(-3/8))**26 assuming r is positive. r**(-39/4) Simplify f*f/(f*f*f*f*f*f**8/f)*f*f**8*f*f**(-9)*f/f**7*f assuming f is positive. f**(-14) Simplify ((d/(d*(d*d**8)/d))/d*d**(-8))**20 assuming d is positive. d**(-340) Simplify (z**(-1/11)/z*z)**(2/33) assuming z is positive. z**(-2/363) Simplify ((d**2)**(2/3))**(4/13) assuming d is positive. d**(16/39) Simplify p**(-3/11)/p*p*p*p**(6/11)/p assuming p is positive. p**(3/11) Simplify (f**(-1)*f*f)**41*(f**1)**(-17) assuming f is positive. f**24 Simplify (c**(2/7)*c**(-5/3)/c)**34 assuming c is positive. c**(-1700/21) Simplify q**(-8)/q*(q/(q/(q*q**(-15/7)*q)*q))/q assuming q is positive. q**(-78/7) Simplify (b**14/((((b/(b**(16/5)*b))/b)/b)/b))**(-8) assuming b is positive. b**(-808/5) Simplify x**(-2/3)/(x*x*x/x**5*x*x*x)*(x**1)**0 assuming x is positive. x**(-5/3) Simplify (u/(u*u**(-1)))**(-47)*(((u**(-1)*u)/u)/u)/u**5 assuming u is positive. u**(-54) Simplify (c**(-37))**34 assuming c is positive. c**(-1258) Simplify q**(1/7)*q*q*q/q**(3/4)*q*q/q**4*q**1 assuming q is positive. q**(39/28) Simplify (i**(-4/7)*i**(-1/2))**44 assuming i is positive. i**(-330/7) Simplify ((f**(-14)*f*f)/f**(-3/7))**(-32) assuming f is positive. f**(2592/7) Simplify ((h/(h/h**2))**(-44))**(-6) assuming h is positive. h**528 Simplify (p*p/(p*p**(3/13)/p)*p*p**(-1))/((p*p**(-1)*p)/p*p)**(-14) assuming p is positive. p**(205/13) Simplify (i**(-2/3)*i*i/((i*i**(3/7))/i)*i)/(((i/i**8)/i*i)/i*i*i*(i/(i/(i**(-4/11)/i)))/i) assuming i is positive. i**(2372/231) Simplify (m*m/(m/(m*m*m**(-7)*m))*m)**(-32) assuming m is positive. m**64 Simplify (k/(k/(k*k*k*k*k**(-12)))*k)**11 assuming k is positive. k**(-77) Simplify (d*d**(-1)/d*d)/d**(-4/7)*d**6/((d/(d*d/(((d**(-2/7)/d)/d)/d*d)))/d) assuming d is positive. d**(76/7) Simplify (y**(3/7)*y/(y/(y*y**(5/4))*y))**30 assuming y is positive. y**(705/14) Simplify o*o*o/(o*o**25)*o*o*o**(2/135) assuming o is positive. o**(-2833/135) Simplify b**(-2)*b**5*b*b**2*b**4 assuming b is positive. b**10 Simplify ((i**(-1/9)*i)/i)/i*i/i**(-4)*(i*i/((i/(i/(i**4*i))*i*i)/i)*i)/i**0 assuming i is positive. i**(8/9) Simplify (d**(-1/10)*d)/d*d*d**(-6/17) assuming d is positive. d**(93/170) Simplify (((i/(i*i**(-2)))/i)/((i**7/i)/i))/((i/((((i/i**(1/2))/i)/i)/i*i))/(i**8/i*i)) assuming i is positive. i**(3/2) Simplify (w/w**(-6))/w**12 assuming w is positive. w**(-5) Simplify g**(2/27)/g*g/(g*g/(g/g**3)) assuming g is positive. g**(-106/27) Simplify v**(-4)*v*v*v*v*v**(11/6) assuming v is positive. v**(11/6) Simplify (q*(q*q/(q/(q*q**(-10))))/q*q)/q**(5/3) assuming q is positive. q**(-26/3) Simplify ((j/j**(11/4))/j)**(1/17) assuming j is positive. j**(-11/68) Simplify (v**(5/3)/(v/(v/v**(-4/9))))/(((((v*v*v*v**(-1/5)*v*v)/v)/v)/v)/(v*v**(-5))) assuming v is positive. v**(-166/45) Simplify (k**22)**(1/4) assuming k is positive. k**(11/2) Simplify (f**(4/5))**(-1/5) assuming f is positive. f**(-4/25) Simplify (c**5*c)**30 assuming c is positive. c**180 Simplify ((r*r**(1/3))/r**(-1))**(8/5) assuming r is positive. r**(56/15) Simplify (s**(2/5)*s)**29/((s/(s/(s*s**(1/3)/s*s)*s*s*s))/(s/(s*s/s**(-5)))) assuming s is positive. s**(544/15) Simplify ((y**(-1)/y)**(-13))**11 assuming y is positive. y**286 Simplify ((l**(-2/9)*l*l)/l*(l*l**4)/l*l)**10 assuming l is positive. l**(520/9) Simplify ((h*h*h**(-1/3)*h*h)**(-44))**(-23) assuming h is positive. h**(11132/3) Simplify ((p*p**(1/4)*p)/p)**(-4) assuming p is positive. p**(-5) Simplify (n/n**(1/4)*n)**(-48)/(n**(-2/5)/((n/(n/(n**(-1/12)/n)))/n)) assuming n is positive. n**(-5141/60) Simplify (y**(-5/4))**(3/26) assuming y is positive. y**(-15/104) Simplify ((n*n**(-1))/n)**(2/37)*n**(-2/3)/n**(-3) assuming n is positive. n**(253/111) Simplify z**(-2/27)*z/(z**(1/4)*z)*(z/(((z**(-1/3)/z)/z)/z))**(-3/5) assuming z is positive. z**(-1579/540) Simplify (h**(-20)/h)/((h*(h*h**(-26)/h)/h)/h) assuming h is positive. h**6 Simplify (i**(-2/5)*i)**(6/5) assuming i is positive. i**(18/25) Simplify z*(z/(z*z**(-1/9))*z)/z*z*(z/(z*z/(z**(-1)/z)*z)*z*z)/z assuming z is positive. z**(-8/9) Simplify c**(-23)/(c**4*c*c) assuming c is positive. c**(-29) Simplify (c**3*c*c**(-5)/c)/(((c/((c*c*c**(-3/7)*c)/c))/c)/c**(-2/11)) assuming c is positive. c**(-47/77) Simplify m**(-16)/((m*m*m/m**11*m)/m*m*m) assuming m is positive. m**(-10) Simplify (q**8*q**(-2)/q)/((q/q**(-1/7))/((q*q**6)/q)) assuming q is positive. q**(69/7) Simplify u**(7/5)*(u**(2/3)*u*u)/u*(u/(u*u*u**(-1/3))*u)**(-49) assuming u is positive. u**(-199/15) Simplify n/n**(1/13)*n**16*n assuming n is positive. n**(233/13) Simplify (d**(-2/3)/d**(1/6))**(6/11) assuming d is positive. d**(-5/11) Simplify o*o*o**(4/9)*(o**(-22)*o)/o assuming o is positive. o**(-176/9) Simplify (h*h*h/(h/(h/h**5))*h**(-1/11)*h)/((h/h**(-2/19))/h*h*h**(1/9)) assuming h is positive. h**(-4340/1881) Simplify ((l/l**(2/7)*l*l)/l)**38*(l/(l/(l/l**(-6))*l)*l)/(l*l*(l**8/l)/l) assuming l is positive. l**(449/7) Simplify a/(a**(10/3)*a)*a*a*(a/(a**(-2/23)*a*a))/a assuming a is positive. a**(-224/69) Simplify (z*z*z**(-3/7))/(z*z**(-3/4)/z)*((((z*z/((z*z/(z**(3/2)/z)*z)/z))/z)/z)/z)**(-3/13) assuming z is positive. z**(1055/364) Simplify n/n**(-2/27)*n*(n**(13/3)/n)/n assuming n is positive. n**(119/27) Simplify (g**6/g*g**3/g)/((g/(g/g**2))/g**(-2/11)) assuming g is positive. g**(53/11) Simplify (d**1*d)/(d*(d**(-7)/d*d)/d)*d/(d*d/(d*d**(-2/15)*d*d))*d**5 assuming d is positive. d**(238/15) Simplify (r*r*r*r**(-1/5)*r**1*r*r)/((r/(r/(r*r**(-5)*r)*r))/(r**(-4)/r)) assuming r is positive. r**(24/5) Simplify m**(13/3)/m**(-7) assuming m is positive. m**(34/3) Simplify q**(6/19)*q**(-17)/q assuming q is positive. q**(-336/19) Simplify (b**1)**(-45) assuming b is positive. b**(-45) Simplify (d*d*d**(-1/2))/(d*d**(-1)) assuming d is positive. d**(3/2) Simplify q**(-17)*(q*q**(-9))/q assuming q is positive. q**(-26) Simplify d**(1/6)*((d**29*d)/d)/d assuming d is positive. d**(169/6) Simplify ((s*s/s**(-3/8))/s**(-1/7))**(1/11) assuming s is positive. s**(141/616) Simplify (d*d*d**(1/4))/(d/d**(-9/4)*d) assuming d is positive. d**(-2) Simplify (q**(-1))**(-13/2)/(q**(-2/13)/(q/(q/(q*q**(-5))))) assuming q is positive. q**(69/26) Simplify (s**10)**47 assuming s is positive. s**470 Simplify w/((w/w**(-40))/w)*w*w**35 assuming w is positive. w**(-3) Simplify (f**0/((((f*((f/f**1)/f)/f)/f)/f*f)/f*f))/(f**(-3)/(((f/(f/(f/f**(3/5))))/f)/f)) assuming f is positive. f**(17/5) Simplify (p*p/(p*p**(-1))*p)**(2/13)/(p**6*p**(3/7)) assuming p is positive. p**(-543/91) Simplify (v**(2/5)/(v*v**(-8)))/(v**(-2))**(1/6) assuming v is positive. v**(116/15) Simplify (((z/(z*z*(z*z/z**(-1/3))/z*z))/z)/(z*z/z**(-2/19)*z))/(z**(1/2))**(3/4) assuming z is positive. z**(-3563/456) Simplify (a**1/(a*a*a/(((a/a**(-1))/a)/a)*a*a))**(-3/35) assuming a is positive. a**(12/35) Simplify h/(h**(-2)*h)*h**(-4/5)*(h**(3/2)*h)/((h**(-5)*h*h)/h) assuming h is positive. h**(77/10) Simplify (o**3*o/((o*o/o**(2/13))/o))**23 assuming o is positive. o**(943/13) Simplify (q**(2/13)/q)/q**(-8/3) assuming q is positive. q**(71/39) Simplify x**(1/11)*x**(-25) assuming x is positive. x**(-274/11) Simplify (k/(k*((k**(-1)/k*k)/k)/k*k))**46*(k**(1/4))**(1/12) assuming
{ "pile_set_name": "DM Mathematics" }
-1, o, a in decreasing order. a, o, -1 Let h(c) = c**3 + 11*c**2 + c + 14. Let f be h(-11). Suppose 5*q = 3*t + 4, 15 = f*t + 4*q + 1. Sort t, -4, 5. -4, t, 5 Let r = -9 + 13. Let d = -8.7 - -10. Let q = -6.3 + d. Sort q, -0.5, r in descending order. r, -0.5, q Suppose f + 0*f - 2 = 0. Let v be -21 - 4*(-2)/4. Let j = -14 - v. Put f, j, 1 in descending order. j, f, 1 Let c = 6 + -7. Let m = 222/13 - 41/26. Let a = m - 16. Sort a, 2/3, c in increasing order. c, a, 2/3 Suppose -37*s = -39*s - 2. Sort 3/7, s, 1/5, -0.3 in descending order. 3/7, 1/5, -0.3, s Let q(j) = -j + 9. Let d be q(8). Suppose -w = -2*w + d. Let n be (2 - w) + -3 + -3. Put 2, n, 1 in descending order. 2, 1, n Let m = -105/4 - -27. Suppose 4 - 19 = -5*d. Let r = -4 + 3.6. Sort m, r, d in increasing order. r, m, d Suppose 0 = 4*w + 13 - 5. Suppose -4*f - 1 = -17, -6 = 2*m - 3*f. Suppose 4*q + 4*d = 0, 5*q + 5*d = 2*d - 2. Put w, m, q in ascending order. w, q, m Let d(a) = 3*a + 14. Let p be d(-6). Suppose 2*t - 5*f + 15 = 4, -5*t + 13 = f. Sort p, -5, t in decreasing order. t, p, -5 Let j = -107 - -107.5. Put -4, 26/9, j, -5 in decreasing order. 26/9, j, -4, -5 Let w be 57/(-51) + 2/2. Let x = w - -21/34. Let r = -0.4 + 1.4. Put x, 0, r in descending order. r, x, 0 Let c(b) = 17*b + 117. Let u be c(-7). Let v(d) = d**3 + 4*d**2 + 3. Let p be v(-4). Put p, u, -8 in descending order. p, u, -8 Suppose 0 = -5*j + 20 - 15. Sort 0, -1, j in increasing order. -1, 0, j Suppose -4*g = 15 - 51. Sort 5, g, -1 in decreasing order. g, 5, -1 Suppose 2*i + 9 = 5*i. Sort i, -4, 5. -4, i, 5 Let m be (-4)/(-6) + 17/(-3). Let c(t) = t - 1. Let y be c(1). Suppose 2*z = u - y*u - 9, -4*u + 8 = -z. Sort m, -4, u. m, -4, u Suppose 4*i - 4 = -3*v + 5, 2*i + 2*v = 6. Let u = i - -3. Let j be u - (-2 + -2 + 2). Put 2/5, j, 4 in descending order. j, 4, 2/5 Let h = 0.04 - -0.06. Put h, 0.2, -0.1 in descending order. 0.2, h, -0.1 Let o = -3.1 - -0.1. Put 2, o, 1 in increasing order. o, 1, 2 Let j = 46 - 46.4. Sort 2, 0.1, 0, j in decreasing order. 2, 0.1, 0, j Let d be (2/6)/(8/24). Sort 2, d, -3 in descending order. 2, d, -3 Let u = 3 + -2.9. Suppose -o + 8 = 3*o. Let g be 9/(-21)*o/(-6). Sort 0.2, u, g. u, g, 0.2 Suppose r - 1 = -6. Let o(k) = -k**3 + 7*k**2 + 7*k + 8. Let a be o(8). Sort a, r, 1. r, a, 1 Let r = -88 + 49. Let m be 3/(-15) + r/(-45). Put 0.4, m, 2 in descending order. 2, m, 0.4 Suppose 4*i - v - 18 = 0, -2*v - 15 = -i - 7*v. Suppose -4*x - 4 - 4 = 0. Let z(o) = -3*o - 4. Let b be z(x). Put b, 0, i in ascending order. 0, b, i Let m = 9.4 - 11. Let o = m - -0.6. Put 2/7, o, 5 in ascending order. o, 2/7, 5 Let w = -79 - -77. Sort 0, -1, w, 0.5 in increasing order. w, -1, 0, 0.5 Let s = 5.8 + -0.8. Let n = 9 - s. Let w be (-1)/(-8)*6*36/9. Put n, w, -0.3 in increasing order. -0.3, w, n Let m be 20/(-45) - (-1 - -1). Put -1/6, -0.4, m, 0.3 in decreasing order. 0.3, -1/6, -0.4, m Let c(x) = -x - 3. Let f = -9 + 3. Let w be c(f). Sort 4, -1, w in descending order. 4, w, -1 Let s = -3.9 + 4. Sort s, -8, 0.2. -8, s, 0.2 Let o be 2/4 - 20/8. Let m be 4/25*(-15)/(-6). Sort 1/9, m, o. o, 1/9, m Suppose a - 5 = -0*a. Suppose 0 = -a*y + 4 + 6. Put y, 4, 5 in ascending order. y, 4, 5 Let y = -3 - -7/2. Sort y, 4, 1/7. 1/7, y, 4 Suppose 4*p - 5*r = 18, 2*r = -2*p + 4*r + 8. Sort -4, 8, p in increasing order. -4, p, 8 Suppose 5*a - 3*a - 16 = 0. Suppose -8*x - a = -6*x. Sort x, 2, 5 in decreasing order. 5, 2, x Let l(u) = u**3 - 9*u**2 + 8*u + 3. Let h be l(8). Suppose 0 = -h*z + 7 + 5. Let r(v) = v**3 - 3*v**2 - 3*v - 5. Let w be r(z). Sort -2, 3, w. -2, w, 3 Let f = -2.94 + -0.06. Let m be 4/6 - (-320)/6. Let i be 6*-1*4/m. Sort f, 5, i in decreasing order. 5, i, f Suppose 7 - 3 = x. Suppose 10 = 4*r + 2*j - 2, -5*j = 0. Let l be 1 - (-1 + r + -2). Sort x, -5, l in increasing order. -5, l, x Let n = 0.05 - -4.95. Let h = 1.86 + 0.14. Put -4/7, h, n in decreasing order. n, h, -4/7 Let i = 0.2 - 0.1. Let t = -14 + 29/2. Put 1/11, t, i in increasing order. 1/11, i, t Let w = 5 + -8. Let t(h) be the first derivative of h**2/2 + h - 5. Let y be t(-1). Sort y, 3, w in increasing order. w, y, 3 Let p = -15 + 18. Put 0, p, 9 in decreasing order. 9, p, 0 Suppose 13*v = 17*v - 8. Let o = -1 + 0. Put v, -4, o in decreasing order. v, o, -4 Suppose -2*o + 12 = -6*o. Sort -5, o, 0. -5, o, 0 Let q = 0.8 - 0.92. Let v = q - -4.12. Sort 0, -6, v. -6, 0, v Let s = 17 + -17. Suppose c + 4*o - 6 = 9, o - 20 = 3*c. Sort s, c, -3. c, -3, s Let q = 0.42 + -0.52. Put 0, 2, q in increasing order. q, 0, 2 Let t(v) = 2*v**2 + 36*v + 33. Let i be t(-17). Sort 12, -1/4, i in ascending order. i, -1/4, 12 Let v(z) = -z - 2. Let c be v(0). Sort 1, c, -1, 2 in ascending order. c, -1, 1, 2 Let i = -2 - -1. Let b = 392 + -397. Let k(f) = f - 3. Let p be k(4). Sort i, b, p. b, i, p Let f = -0.03 + -0.47. Let v = 3.2 - 2.86. Let l = v + -0.04. Sort l, 2, f. f, l, 2 Let s = -111 - -107. Sort s, 95, -3/2, -0.3 in descending order. 95, -0.3, -3/2, s Let f(x) = 3*x - 6. Let y(z) = 3*z - 7. Suppose -4*a + 2*v - 22 = 0, 3*a - 2*a + 8 = 3*v. Let i(m) = a*f(m) + 4*y(m). Let t be i(2). Sort -1, 0.3, t. t, -1, 0.3 Let g = 25 + -22. Sort 5, 4, g in decreasing order. 5, 4, g Let n = -0.4 + 4.9. Let r = 0.5 - n. Let p = -4.4 - r. Sort 1/3, 0, p in decreasing order. 1/3, 0, p Let k be 1*(-1)/1 - 1. Suppose -5*j - 9 = -2*j. Put 5, j, k in descending order. 5, k, j Let u = 47 + -47. Sort u, 0.3, 5. u, 0.3, 5 Let s = -128 - -124. Sort 3, s, 0.3 in descending order. 3, 0.3, s Suppose a - 4*a + 6 = 0. Suppose -9 + 1 = -2*y. Sort y, a, 1. 1, a, y Let c(t) = 5*t - 24. Let q be c(7). Suppose 2*w = w + 7. Let v = w - q. Sort -2, v, -1 in descending order. -1, -2, v Let b be -4 + (-3 - (2 - 3)*7). Put -4, -26, b in increasing order. -26, -4, b Let j(v) = -v**3 - 5*v**2 - 6*v - 5. Let q be j(-4). Suppose 5 = 5*g - 0. Sort 2, g, q in descending order. q, 2, g Suppose 16 = -6*j + 2*j. Sort 4, 1, j. j, 1, 4 Let j = -15 - -10. Let s = 10 + j. Suppose 15 = 3*t - 2*k, -3*t + 5*t - 2*k = 12. Sort t, 0.5, s in decreasing order. s, t, 0.5 Suppose -4*u + 9*u = -275. Let m be 1/2 + u/10. Put 0, m, 2 in ascending order. m, 0, 2 Let i = 59/4 + -15. Sort i, -3/8, 2 in descending order. 2, i, -3/8 Suppose -24 = 5*w - 44. Put w, -3, 1, -1 in increasing order. -3, -1, 1, w Let l = -4 - -6. Let g = 18 + -13. Sort l, g, -3. -3, l, g Let v = 11 + -6. Suppose v*h + 4*p = 0, -h = 3*p - 5*p. Suppose 20 = 4*y - 4*m, 3*m + 15 = 3*y - m. Sort y, -4, h in descending order. y, h, -4 Suppose 0 = 9*o - 8*o - 5. Put -0.3, o, 3 in descending order. o, 3, -0.3 Let z = 17 + -18. Let k = -0.04 - 3.96. Let r = k - z. Sort -1/5, r, -4 in increasing order. -4, r, -1/5 Let w(c) = -22*c**3 + 7*c**2 + 6*c - 4. Let d(o) = 7*o**3 - 2*o**2 - 2*o + 1. Let m(i) = 7*d(i) + 2*w(i). Let p be m(-1). Sort 0, p, -3. p, -3, 0 Let a = 6 - 3. Suppose -2*h = a*h. Suppose h = -3*u - 5*c - 6, 1 - 4 = c. Sort 5, 2, u in descending order. 5, u, 2 Let i be (-9 + 8/2)*1. Sort i, 1, 0.25 in descending order. 1, 0.25, i Let y(b) = b**2 - 20*b - 26. Let p be y(21). Sort 0, p, 1, 3. p, 0, 1, 3 Let d = 1 + 1. Let v = 2 - d. Suppose v = -2*c, -4*a + 2*c = c - 20. Sort -5, a, 1 in ascending order. -5, 1, a Let y = 13 + -15. Let i = 1 + y. Put 0, -1/2, i in ascending order. i, -1/2, 0 Let m be (-18)/(-12)*8/6. Suppose -a + 4*a = 12. Let q = -6 + a. Sort m, q, -3 in decreasing order. m, q, -3 Suppose -5*o - 20 = 0, -3*b - o + 0*o - 10 = 0. Sort -1, b, 2 in descending order. 2, -1, b Let t = -0.4 - -0.1. Let n = 32 - 6. Let s = n + -235/9. Sort s, -2/9, t. t, -2/9, s Let j be (9/15)/(2/(-10)) + -1. Sort -0.2, 1, j, -2/7 in decreasing order. 1, -0.2, -2/7, j Let m = 5 + -8. Let u(z) = z**3 + 4*z**2 + 5*z + 6. Let r be u(-3). Sort r, m, 5. m, r, 5 Let x be (-10)/12*6/4. Let c = 0.1 - 0. Let z = 151/6 + -25. Put c, z, x in increasing order. x, c, z Suppose 0 = -2*g + z + 1, 4*g + 4*z - 18 = g. Let q be 5 + (g - -2) + -3. Sort 4, 1, q in descending order. q, 4, 1 Let a = 174 + -179. Sort -13, a, 2, 4. -13, a, 2, 4 Let f be (55/11)/(0 + 0 + 1). Sort f, -5, -1, 0. -5, -1, 0, f Let x = 21 + -20. Put x, -5, -2 in increasing order. -5, -2, x Let y = 25 - 25. Put y, 7, -4 in ascending order. -4, y, 7 Let b(c) = c**3 + 20*c**2 - 20*c + 1
{ "pile_set_name": "DM Mathematics" }
/((-32)/(-6))*(-12)/3. -3/2 What is the value of (-84)/(-24)*(-24)/(-14)? 6 What is ((-21)/7)/((-15)/(-3))*10? -6 Calculate 6/(-4)*(-8)/(-6). -2 What is (-4*(-3)/(-12))/2? -1/2 Calculate 0/((2/2)/(15/30)). 0 Evaluate (16/24*-3)/(-12). 1/6 What is the value of 0/(((-1)/2)/((-5)/10))? 0 Calculate (0*4/(-24))/((-12)/(-6)). 0 (56/(-168))/((-2)/36) 6 Evaluate (-1)/(-3)*13/((-1547)/(-306)). 6/7 What is -1*4*1*(-2)/8? 1 (10/200)/((-9)/15) -1/12 What is the value of 8*((-2*2)/(-8))/1? 4 ((-1)/(-2)*6)/(234/312) 4 Evaluate 32/(-264)*(-9)/6. 2/11 Evaluate ((-5)/15)/((-2)/(-144)*3). -8 What is ((-4)/(-50))/(4/(-60)*3)? -2/5 What is the value of ((-21)/(-6))/1*(-8)/(-28)? 1 Evaluate ((-1)/4)/((-2)/(-12)). -3/2 Evaluate (4/(-24))/((-8)/32)*1. 2/3 Evaluate 27/(-42)*16/108*-3. 2/7 What is ((-66)/55)/((-9)/(-15))? -2 Evaluate ((-6)/(-18))/((-3)/(-27)*-5). -3/5 What is the value of (45/(-5))/(-9)*2/(-2)? -1 Calculate ((-6)/(-20))/((-36)/(-16)). 2/15 (6/(-27))/(5/5) -2/9 Calculate (2*(-1)/(-10))/((-1)/1). -1/5 Calculate (2/(-4))/((-315)/(-126)). -1/5 What is the value of (-123)/(-82)*4/(-6)? -1 What is the value of ((-5)/2*4)/(128/64)? -5 Calculate 252/(-315)*2/(-12). 2/15 What is 8/24*1*-3? -1 15/(-70)*1*(-21)/18 1/4 What is 9/(234/91)*(-3)/(-14)? 3/4 What is (4/(-1*20))/(60/(-50))? 1/6 What is 8/5*(-145)/58? -4 Calculate ((-5)/1)/((140/7)/5). -5/4 Evaluate 1/4*(-21)/(-7). 3/4 What is ((-88)/528)/((2/(-3))/2)? 1/2 What is the value of (-85)/(-34)*((-48)/105)/4? -2/7 Evaluate (9/12)/((-7)/28). -3 Calculate (21/(126/(-12)))/((-4)/(-20)). -10 What is the value of (((-468)/27)/13)/((-2)/(-9))? -6 What is the value of 3/24*(-20)/15? -1/6 ((-9)/(45/(-2)))/(2/2) 2/5 Evaluate ((-2)/(-6))/((-5)/90*3). -2 What is 3/((9/2)/((-48)/(-8)))? 4 What is the value of (8/126)/((-176)/(-792))? 2/7 Calculate (((-36)/(-3))/(-2))/(6/4). -4 Calculate 3/(-7)*(-112)/(-42). -8/7 What is the value of 3*-6*4*(-6)/(-72)? -6 Evaluate 8/4*(-7)/(-21). 2/3 What is the value of (7/(-35))/1*5*-1? 1 What is (-12)/(7/7)*5/15? -4 Evaluate (-2)/(-4)*(-216)/27. -4 ((-25)/75)/((-16)/(-18)) -3/8 Evaluate ((2/3)/(1/(-6)))/1. -4 Evaluate 11/((-660)/16)*(-5)/2. 2/3 Evaluate (3/(-3))/(28/7). -1/4 What is 2/((-40)/(-4))*0? 0 (15/((-225)/(-12)))/((-3)/(-15)) 4 (0/1*2/(-6))/(-2) 0 Evaluate ((-22)/(-11))/(6/(-9)). -3 What is the value of ((-100)/125)/((-2*1)/1)? 2/5 Evaluate (8/(-238))/(162/(-567)). 2/17 What is the value of (5/(-10))/(4*1)? -1/8 Calculate ((-10)/(-8))/(11/(396/(-9))). -5 What is the value of ((-18)/225)/((-1)/(-5))*-20? 8 (3/3)/(((-10)/2)/5) -1 What is (51/34)/(6/8)? 2 What is (-6*2/10)/((-54)/27)? 3/5 Calculate (-40)/(-35)*(-1)/(-4). 2/7 What is (-125)/50*2*(-6)/(-10)? -3 8/(-6)*75/(-40) 5/2 Evaluate ((-7)/((-350)/(-20)))/(4/40). -4 Calculate 245/(-49)*1/1. -5 3*3/(-6)*6/9 -1 Calculate ((-12)/(-42))/(16/14). 1/4 Evaluate (-3*2/10)/1. -3/5 Evaluate (-14)/(784/14)*28. -7 (99/198)/(2/16) 4 Calculate (40/(-25))/(16/(-40)). 4 Calculate (1/38)/((-25)/(-100)). 2/19 Evaluate 1*4/(-7)*35/(-10). 2 69/23*(-2)/(-2) 3 Calculate 3/(-1)*(42/(-18))/7. 1 (132/(-66))/(1*-11) 2/11 What is the value of (((-4)/2)/(-20))/((-10)/(-80))? 4/5 Calculate (-1*(-6)/(-5))/((-24)/(-60)). -3 ((0/2)/(-1))/4 0 What is the value of (-5)/(-8)*((-9)/(-9))/(-5)? -1/8 ((-13)/(780/24))/(9/5) -2/9 Calculate (-2)/(-8)*4*18/(-24). -3/4 What is the value of (-328)/(-123)*3/(-76)? -2/19 Evaluate ((-1440)/(-600))/(2/5). 6 Evaluate (-3)/(6/(-4))*3/(-45). -2/15 What is ((-2)/(-16))/((36/(-4))/(-36))? 1/2 What is the value of 40/(-54)*795/(-1325)? 4/9 Calculate -4*7/112*2*2. -1 (14/(-8))/(294/392) -7/3 What is (-2)/(-4)*-5*(-6)/60? 1/4 Evaluate 1/1*51/(-255). -1/5 Calculate ((-212)/(-106))/((-4)/14). -7 What is (-6)/(-6)*(-6)/2*1? -3 (-12)/6*1/5 -2/5 What is the value of ((-180)/8)/9*2? -5 Evaluate 1/1*7/((-252)/8). -2/9 12/105*15/(-3) -4/7 ((-31)/62)/(2/(4/3)) -1/3 Evaluate (3/8)/((-6)/4). -1/4 What is the value of -8*17/(-1904)*14/2? 1/2 What is (-7)/(-4)*6/21? 1/2 ((-168)/63)/(2/(-3)) 4 Calculate (((-6)/(-27))/1)/(4/(-6)). -1/3 Calculate -2*3/12*(-4)/(-5). -2/5 What is the value of (28/(-10))/(371/(-530))? 4 What is (-9)/4*1*(-22)/33? 3/2 What is the value of ((-3)/(-2))/((-3)/(-2))*-5? -5 What is the value of (16/156)/((-6)/9)? -2/13 Calculate ((-6)/4)/(273/(-182)). 1 Evaluate 4/3*177/(-59). -4 What is ((-3)/24)/(95/(-76))? 1/10 What is the value of 2/7*(-21)/(-18)*-15? -5 (6/(-50))/((-378)/4410) 7/5 Calculate ((-4)/(-8))/1*0. 0 Evaluate (9/(-6))/((-15)/20). 2 (1/2)/((-142)/1420) -5 Evaluate (-42)/(-35)*(-5)/(-9)*1. 2/3 Evaluate 32/48*(-18)/4. -3 Evaluate ((-125)/30)/25*-6. 1 Evaluate ((-28)/(-42))/(3/36). 8 Calculate (3/((-9)/14))/(188/282). -7 What is the value of ((-6)/(-5))/(-3*14/(-15))? 3/7 What is the value of (-6)/24*(-4)/(-4)? -1/4 (1/((-3)/27))/(-3) 3 ((-3)/(-27))/(((-48)/18)/(-4)) 1/6 What is (1*1/(-1))/8? -1/8 2/(-6)*(-2460)/82 10 (399/684)/(-1*(-4)/16) 7/3 What is the value of (32/112)/(2/(-14))? -2 What is (-47)/47*5*1? -5 What is the value of 2/((5/15)/(2/3))? 4 8/(-10)*((-720)/352)/9 2/11 Evaluate (2*2)/(-1)*34/(-272). 1/2 Calculate 4/1*(21/(-4))/3. -7 What is (3/9)/((-4)/3)? -1/4 9/(-6*2/(-4)) 3 (4/57)/((-6)/27*-3) 2/19 What is the value of (8/18)/(60/(-54))? -2/5 Evaluate 9/(-12)*2*(-2)/21. 1/7 What is ((-2)/(-1))/4*8? 4 What is the value of (3/30)/((-2)/(-8)*-2)? -1/5 Evaluate (-4*36/(-80))/(6/20). 6 What is (23/(-138))/(3/((-81)/(-3)))? -3/2 Calculate (1/(-2))/((4/12)/1). -3/2 Calculate (-14)/77*22/(-4). 1 Evaluate (((-3)/4)/(-1))/((-1)/2). -3/2 Calculate 4/4*(-2)/13. -2/13 Evaluate (2/(-12))/(2/(-9)). 3/4 Calculate (-23)/(345/90)*(-4)/6. 4 (2/4)/(42/36) 3/7 Evaluate -2*3/3*12/4. -6 Calculate (-2)/(-3)*12*(-1)/(-2). 4 What is the value of (-34)/(-153)*-3*(-1)/(-2)? -1/3 What is (7/28*-12)/1? -3 Evaluate (126/(-24))/((-21)/36). 9 What is the value of (10/(-15)*3)/(1*2)? -1 Calculate (-6)/(-27)*-3*(-12)/(-8). -1 What is the value of (2*(-2)/(-16))/((-2)/3)? -3/8 Calculate 3/15*8/(-8)*2. -2/5 What is the value of 2/(2/(1/(-1)))? -1 Evaluate ((-50)/675)/(1/(-3)). 2/9 ((-38)/(-399))/((-1)/(-3)*-1) -2/7 Calculate -20*(-11)/44*1. 5 Evaluate ((78/(-9))/(-13))/3. 2/9 What is the value of (16/32)/(-2*(-1)/4)? 1 What is the value of 5/((-35)/4)*3/(-6)? 2/7 (3*3/9)/(-1) -1 (-460)/(-368)*6/45 1/6 What is the value of ((-7)/((-70)/(-25)))/(-5)? 1/2 What is -1*4*4/80? -1/5 -1*4*((-360)/(-18))/120 -2/3 What is (6/10)/((-15)/75)? -3 What is the value of -5*(-7)/490*2? 1/7 What is (-48)/(-8)*1/3? 2 Evaluate (4*1/90)/((-2)/(-6)). 2/15 3/(-2)*(-28)/(63/9) 6 What is ((-6)/4)/((-42)/(-112))? -4 Calculate (-16)/6*(7/4)/(-7). 2/3 What is the value of (-4)/(-36)*-3*9/(-3)? 1 Calculate 4*81/36*(-1)/(-3). 3 What is the value of (-1)/5*(-150)/80? 3/8 What is (-4)/14*(-39)/26? 3/7 What is the value of 1/((-42)/28*(-22)/(-6))? -2/11 Calculate (-23)/((-1656)/48)*1*3. 2 Calculate 5*7/(-420)*-2. 1/6 What is (-3)/1*3*(-1)/(-9)? -1 What is the value of (2/(-5))/((-132)/60)? 2/11 What is the value of (36/(-10))/(23*4/230)? -9 Calculate -2*-2*2/(-8). -1 Evaluate 9*6/81*3. 2 What is the value of 12/(-9)*((-1134)/56)/27? 1 Evaluate ((-80)/20)/(10/15*-3). 2 -4*(-6)/(-12)*-2 4 Evaluate 15/(5*(-3)/(-5)). 5 What is -5*24/(-140)*1/(-3)? -2/7 What is the value of (-19)/(-475)*80*(-5)/(-2)? 8 Evaluate (12/10)/((-146)/365). -3 (6/(-4))/((-525)/100) 2/7 What is (-3)/((-9)/(27/(-9)))? -1 Calculate ((-8)/18)/(6/(-27)). 2 Calculate (8/6)/(60/(-180)). -4 What is the value of 6/4*150/45? 5 ((-3)/9)/1*3*0 0 What is the value of 4/12*(-12)/(-44)? 1/11 What is the value of (6/12)/((-1)/(-10))? 5 Calculate 4/(-4)*(-1)/(-5)*0. 0 What is -2*((-35)/(-210))/((-1)/(-21))? -7 What is the value of 96/(-160)*3/9? -1/5 Calculate (-4)/22*5/(-10)*-2. -2/11 40/(-4)*(45/40)/(-9) 5/4 Calculate (2*1/15)/((-9)/(-15)). 2/9 (-4)/(5*(-14)/35) 2 Calculate ((-22)/(264/15))/((-6)/4). 5/6 48/12*(-21)/(-56) 3/2 Calculate (110/11)/10*3/(-1). -3 What is 15/(-90)*(-3)/((-9)/6)? -1/3 (3/(-2))/(9/18) -3 Calculate (-5*(-20)/150)/(2/(-3)). -1 (8/2*11/(-22))/8 -1/4 Evaluate (-22)/44*0/1. 0 What is ((-3)/6)/((-2)/20)? 5 What is the value of -14*1/((-3)/((-24)/(-28)))? 4 Evaluate (20/(-12)*3)/(3/(-3)). 5 Calculate 108/8*14/504. 3/8 (-6)/(-4)*(-28)/(-14) 3 What is the value of ((-145)/(-1015))/(2/42)?
{ "pile_set_name": "DM Mathematics" }
, -2547, -3, -7, 5, 3. -2547, -7, -3, -1, 3, 5 Put 2, -2/97, 1/7, 0.9, 1/5 in descending order. 2, 0.9, 1/5, 1/7, -2/97 Put 2, -0.5, 1/4, 0.11, -827 in descending order. 2, 1/4, 0.11, -0.5, -827 Put -5, 0, 3, -3, -20, -65 in descending order. 3, 0, -3, -5, -20, -65 Put 0.0969, -24, -3/4, -5, 1 in descending order. 1, 0.0969, -3/4, -5, -24 Sort 4, 2, 5, -1, 3. -1, 2, 3, 4, 5 Sort 44, -207, -3, 2 in increasing order. -207, -3, 2, 44 Sort -1, 10, -5, -416, 0 in descending order. 10, 0, -1, -5, -416 Put -3, -57, 4, -64 in ascending order. -64, -57, -3, 4 Put -4/15, -0.05518, 4/7 in descending order. 4/7, -0.05518, -4/15 Put -0.3, -2.165, 3, -7/4 in increasing order. -2.165, -7/4, -0.3, 3 Sort 0.02, 3, -2968 in increasing order. -2968, 0.02, 3 Sort -11, 5, 1375 in increasing order. -11, 5, 1375 Sort -3, 0, 2, 5, 4, -5 in decreasing order. 5, 4, 2, 0, -3, -5 Put -1/5, -8.5, -8/9, -3 in decreasing order. -1/5, -8/9, -3, -8.5 Sort 229, -13, -4, -5, 0, -41 in increasing order. -41, -13, -5, -4, 0, 229 Put 1308, 4, 10 in ascending order. 4, 10, 1308 Sort 4, -9, -14, 18, -5. -14, -9, -5, 4, 18 Sort 0.1, 0.02, 0.18, 0.2, -14 in decreasing order. 0.2, 0.18, 0.1, 0.02, -14 Put -0.01, 10/17, -9 in descending order. 10/17, -0.01, -9 Put -5, 5, -59659, 3 in decreasing order. 5, 3, -5, -59659 Sort -5, 1, 22, -7, 3 in decreasing order. 22, 3, 1, -5, -7 Sort 2/21, 0.06, -0.1, -1/4, 0.03 in descending order. 2/21, 0.06, 0.03, -0.1, -1/4 Put -4, -4/7, -0.12, 8/27, 0.2 in decreasing order. 8/27, 0.2, -0.12, -4/7, -4 Put -22, 6, -2, 21, 4 in ascending order. -22, -2, 4, 6, 21 Put 5, 26, 1890 in descending order. 1890, 26, 5 Sort -3.4, 0.1, -1.6 in decreasing order. 0.1, -1.6, -3.4 Put 2128, -0.5, 1, 0.1 in ascending order. -0.5, 0.1, 1, 2128 Sort -1/2172, 5, -3/4, 1/2 in increasing order. -3/4, -1/2172, 1/2, 5 Put -2/9, 1.72, 121, 1, 3/5 in ascending order. -2/9, 3/5, 1, 1.72, 121 Sort 2, 19, -6, 4, -64 in increasing order. -64, -6, 2, 4, 19 Sort -1/6, 3, 384, 10/9, -0.14 in decreasing order. 384, 3, 10/9, -0.14, -1/6 Sort 0, -100, -50 in decreasing order. 0, -50, -100 Sort 3, -4, 5, 4, 13 in decreasing order. 13, 5, 4, 3, -4 Sort 77, -10, 0.3, -2 in decreasing order. 77, 0.3, -2, -10 Sort -2, 16, 1588 in increasing order. -2, 16, 1588 Sort 4, 0, -272, 5, -5, 3 in decreasing order. 5, 4, 3, 0, -5, -272 Sort -2, -458/5, 0.14 in descending order. 0.14, -2, -458/5 Sort -12, -18, 1, -4, 4 in descending order. 4, 1, -4, -12, -18 Put 2/383, 37, -34, -3 in decreasing order. 37, 2/383, -3, -34 Put -4, -1, 576 in decreasing order. 576, -1, -4 Sort -123, -3, 3, 2, -1, -116. -123, -116, -3, -1, 2, 3 Sort 96, 3/2, 0, -1, -0.4. -1, -0.4, 0, 3/2, 96 Put 6.944, 2, 45/2 in descending order. 45/2, 6.944, 2 Sort -4, 2279, 5, 3 in increasing order. -4, 3, 5, 2279 Put -1/6, -499, -2/3, -3/4 in ascending order. -499, -3/4, -2/3, -1/6 Sort -2/25, -6/7, -125 in increasing order. -125, -6/7, -2/25 Put -11, -5, 3, 3411, 5 in descending order. 3411, 5, 3, -5, -11 Put 1, 4, 21, 3, 338 in descending order. 338, 21, 4, 3, 1 Sort 2/731, -17, 0.18 in increasing order. -17, 2/731, 0.18 Put 5, -0.2, 122, 6/5, 0.18 in increasing order. -0.2, 0.18, 6/5, 5, 122 Sort -0.17, 0.05, 1 in descending order. 1, 0.05, -0.17 Sort 1, -16/7811, 2 in decreasing order. 2, 1, -16/7811 Put -10, 3, 905 in increasing order. -10, 3, 905 Sort -23, -1, -880, 32 in descending order. 32, -1, -23, -880 Sort 20/9, -0.11, -2/55 in descending order. 20/9, -2/55, -0.11 Sort -2, 1, -13644 in decreasing order. 1, -2, -13644 Put 487, 2, 2/5, -3, 1/3, -2 in descending order. 487, 2, 2/5, 1/3, -2, -3 Sort -28, 1, -2/3, -4, -0.063, -2 in descending order. 1, -0.063, -2/3, -2, -4, -28 Sort -7381, 1, -4, -1. -7381, -4, -1, 1 Put 7/2, -7, 7/4, 2/15 in decreasing order. 7/2, 7/4, 2/15, -7 Sort 4, -544, 2, -11 in descending order. 4, 2, -11, -544 Sort -1, -172, -123, -2, -3 in increasing order. -172, -123, -3, -2, -1 Put 0, 3608, -3, -2 in descending order. 3608, 0, -2, -3 Put -3/5, 2/3, -16.3, -3, 0.3 in decreasing order. 2/3, 0.3, -3/5, -3, -16.3 Sort 1/10, -0.6, 5, -0.7, -1/54, 3 in decreasing order. 5, 3, 1/10, -1/54, -0.6, -0.7 Put 26, -7, 4, -1, 9, -2 in descending order. 26, 9, 4, -1, -2, -7 Sort 78, 4, 7, 1, -2, 3 in descending order. 78, 7, 4, 3, 1, -2 Sort 0, 46661, 43 in ascending order. 0, 43, 46661 Put -1, -2, -48/205, -2/9, -3 in ascending order. -3, -2, -1, -48/205, -2/9 Sort 30, -0.4, -52 in increasing order. -52, -0.4, 30 Sort 5, 0, -1, -4, 9931 in decreasing order. 9931, 5, 0, -1, -4 Put 1295, -4, 0, 2 in increasing order. -4, 0, 2, 1295 Put 0, -2, 208, 1077 in decreasing order. 1077, 208, 0, -2 Sort 34, -0.01, -438 in descending order. 34, -0.01, -438 Put -14, -1, -5, 57, 2 in ascending order. -14, -5, -1, 2, 57 Sort -154, -6, -36, 2, -7 in descending order. 2, -6, -7, -36, -154 Sort -12, 4, -16, 23 in ascending order. -16, -12, 4, 23 Put 1, -0.065, -2.62, 0.5 in decreasing order. 1, 0.5, -0.065, -2.62 Sort 0, -4, -3697 in ascending order. -3697, -4, 0 Put 2/13, 1, 77/3, -0.4 in decreasing order. 77/3, 1, 2/13, -0.4 Put 1, 3.914, -2, -36/5 in descending order. 3.914, 1, -2, -36/5 Put 98208, -2, 12 in decreasing order. 98208, 12, -2 Put 2/51, -0.4, -2, -0.3, 93, 3 in decreasing order. 93, 3, 2/51, -0.3, -0.4, -2 Sort 5, -806533, -2, 1 in decreasing order. 5, 1, -2, -806533 Sort -6543, 3, 6, 1 in increasing order. -6543, 1, 3, 6 Put 30/179, -0.4, -0.3, 0 in descending order. 30/179, 0, -0.3, -0.4 Sort 11, 1, -12, -9, -14 in decreasing order. 11, 1, -9, -12, -14 Put 5, 1/4, 4/355351 in ascending order. 4/355351, 1/4, 5 Sort -6/5, -3/673, -0.01 in increasing order. -6/5, -0.01, -3/673 Put -88, 0, 2, -139 in descending order. 2, 0, -88, -139 Put -429, 101, -4 in descending order. 101, -4, -429 Put 7, 13, 28, -1 in ascending order. -1, 7, 13, 28 Sort -38384, -12, -3. -38384, -12, -3 Sort -2/3, -21, -2.07 in increasing order. -21, -2.07, -2/3 Put -41, 32, 2, 0.4, 3.8 in descending order. 32, 3.8, 2, 0.4, -41 Put -20, 17, 0.4, -3, -42, -4 in decreasing order. 17, 0.4, -3, -4, -20, -42 Put -25/6, 4, -54, -15, 1/7 in ascending order. -54, -15, -25/6, 1/7, 4 Sort 1, -3, -41943 in descending order. 1, -3, -41943 Sort -3236, 5/4, -4, -0.3 in descending order. 5/4, -0.3, -4, -3236 Sort 3.5, -274, 3/25. -274, 3/25, 3.5 Put -2, 5, -6, 7, 4, 11 in descending order. 11, 7, 5, 4, -2, -6 Put -15, 2, 11, 8 in descending order. 11, 8, 2, -15 Sort 470, 65, 0 in decreasing order. 470, 65, 0 Put -5, -56, -3, 4, -59, 1 in decreasing order. 4, 1, -3, -5, -56, -59 Sort 1, 3, -91, 2, -11 in descending order. 3, 2, 1, -11, -91 Put 1/4, 29, 152.5, 5, 1/2 in decreasing order. 152.5, 29, 5, 1/2, 1/4 Put 185, 0, 2, 21, 1 in decreasing order. 185, 21, 2, 1, 0 Sort 60904, -3, 1. -3, 1, 60904 Sort 26723, 4/5, 5 in decreasing order. 26723, 5, 4/5 Put -7, -95, 3, 2, -3, 15 in increasing order. -95, -7, -3, 2, 3, 15 Sort -2/17, -0.4, 0.2, 0.1, -5, 99 in increasing order. -5, -0.4, -2/17, 0.1, 0.2, 99 Sort -57, 98, 33, -4 in ascending order. -57, -4, 33, 98 Put -104/5, -1/3, 1.674 in descending order. 1.674, -1/3, -104/5 Put -658, -2, -4 in decreasing order. -2, -4, -658 Sort -2, -30, 1295 in ascending order. -30, -2, 1295 Put -0.1, 30/11, -8.2 in decreasing order. 30/11, -0.1, -8.2 Sort 3, -440, 0.012, -0.4, 0.3 in descending order. 3, 0.3, 0.012, -0.4, -440 Sort 10, -10, 1, 2, 0, -26. -26, -10, 0, 1, 2, 10 Put -17, 8, 3, -11, -1, 2 in descending order. 8, 3, 2, -1, -11, -17 Put -97.3, -6, -19.4 in ascending order. -97.3, -19.4, -6 Put -4, 2/3, -2/43, 0, 2/5 in descending order. 2/3, 2/5, 0, -2/43, -4 Sort 0.03, 2, -31/104. -31/104, 0.03, 2 Put 74, -4, 30, -9 in increasing order. -9, -4, 30, 74 Sort 2/15, 102, 0, -7.6, 0.2 in ascending order. -7.6, 0, 2/15, 0.2, 102 Sort 6, -0.03, -1, 151 in increasing order. -1, -0.03, 6, 151 Put 7, -90, 2, -3, 0 in decreasing order. 7, 2, 0, -3, -90 Sort 0, 70, 214, 1 in decreasing order. 214, 70, 1, 0 Sort -3, 31, -0.4, 35, -5 in descending order. 35, 31, -0.4, -3, -5 Sort -2, 101, 132 in decreasing order. 132, 101, -2 Put 0, 5, 67693 in increasing order. 0, 5, 67693 Put -2, -53, -11 in descending order. -2, -11, -53 Sort 56, -481, -9 in descending order. 56, -9, -481 Put 2, 7, 1, -2/7, -0.23 in decreasing order. 7, 2,
{ "pile_set_name": "DM Mathematics" }
he closest to x in 0.4, -1/4, -1/2? 0.4 Let s = -11 - -7. Let i be (-10)/28 + 1/2. What is the nearest to 0 in 0, i, s? 0 Suppose -3*y = -6*y + 9. Let g = 51 + -54. What is the nearest to -0.1 in g, -6, y? g Let n = -6 + 6.6. Let o = -0.4 - n. Let g = -7 + 4. What is the nearest to o in 5, g, 3/2? g Suppose -3*o + d = 69, -125 = 5*o - 4*d - 10. What is the closest to 1 in o, 0.4, 0.3? 0.4 Let v = -20 + 29. Let s = -8 + v. What is the nearest to -0.3 in s, -2, 0.4? 0.4 Let h(s) = s**2 - 2*s + 4. Let x be h(0). What is the nearest to -0.1 in x, 0.3, 3/4? 0.3 Let m = 6 - 5. Let u = 0.02 + 0.98. Which is the closest to u? (a) 3/2 (b) 4 (c) m c Let s = 3 - 2. Let f = s - 5. What is the nearest to 1 in -0.4, f, 2/9? 2/9 Let x = -0.36 - -0.46. Let c = 1 - 1. Let l = 0.3 + -1.3. What is the nearest to x in -1/5, l, c? c Let f = 13.8 + 4.2. Let m = 10 - f. Let q = -7 - m. Which is the nearest to q? (a) -1/2 (b) -2/19 (c) -4 b Let l = 58/215 + -3/43. What is the closest to 0 in -0.5, -0.4, l? l Let w = -0.5 - 0. Let i be -1 - -1 - (-1)/1. Let y = 0.7 + -0.3. Which is the nearest to i? (a) w (b) -0.3 (c) y c Suppose 2*i - 7*i - 5 = 0. What is the closest to i in -0.5, 4/5, 1/5? -0.5 Let s = 6.5 - 6. Suppose 4*u - 5*h - 10 = -46, 0 = -5*u - 5*h - 45. Let p be u/126 + 1/2. Which is the closest to -0.1? (a) p (b) s (c) -4 a Let u = -6 + 4.9. Let x = -1.1 + 1. Let d = x - u. Which is the closest to d? (a) 2/5 (b) 6/7 (c) -1/11 b Let w = -83/793 + -3/61. Let h = -3/38 - 67/114. Which is the closest to h? (a) w (b) -2 (c) -3 a Let g = 0.07 + 4.63. Let w = -5 + g. Let k = w + -0.2. What is the nearest to 0.1 in -0.4, k, 1? -0.4 Suppose -8 = -3*u - 5. Which is the closest to u? (a) -5 (b) -3 (c) 12 b Let w = -0.11 + 0.21. Let f = 6 - 8. What is the closest to w in f, 5/4, -3? 5/4 Suppose 3*o + 7 + 2 = 0. Let v = 34 - 34.3. Let k = 0 - 1. Which is the closest to k? (a) o (b) 3/4 (c) v c Suppose -5*g = -0*g - 25. Let i(s) = -s**2 + 5*s - 3. Let h be (-2)/(16/10)*-4. Let n be i(h). What is the closest to -1 in -0.1, n, g? -0.1 Let v = 0.5 - -0.5. Let q = 2 + 1. What is the nearest to -0.1 in q, v, -4? v Let n = 47 + -51. Let d = 2 + -2. Let q = -0.5 + d. Which is the closest to -0.1? (a) q (b) n (c) 1 a Let x = -0.02 - 4.98. Let g = -2 - x. Suppose 5*q = -4*l + 3*q + 8, 0 = -5*l + 4*q - 16. What is the nearest to 1 in g, l, -0.4? l Let s = 0.01 - 0.61. What is the nearest to -1 in -3, -1, s? -1 Let c = 1 - 0.9. Let s be (-12)/10*30/(-9). Suppose 2*y = -y + s*q + 16, y = -2*q - 8. What is the closest to c in y, 5, -1/8? y Let w = -2 + 1. Let x = w + 1.5. Suppose -3*u = -8*u. Which is the closest to -1/4? (a) u (b) x (c) 2 a Let x = 98 - 97.7. Which is the closest to -0.1? (a) x (b) 9 (c) -5 a Let l(c) = 5*c**2 + 2*c. Let u be l(7). Let a = -2851/11 + u. What is the nearest to 1 in -1/6, a, -0.2? -1/6 Let r = -0.01 - 1.99. Let j = r + 4. Let w = -4 + j. Which is the closest to w? (a) 4 (b) -5 (c) 2 b Let h = 3.2 + -3. Suppose -3*o = o - 8. Which is the closest to o? (a) h (b) 4 (c) -2/3 a Let l = 29 + -77/3. Let g = -0.047 + -2.953. Which is the closest to -1/4? (a) l (b) g (c) 0.2 c Let z = -1/7 - -15/56. Let x = -0.117 - 4.883. What is the closest to 0 in x, -3, z? z Let s = 113/234 + 2/117. Let g(a) = -a - 7. Let p be g(-6). What is the nearest to s in -0.5, 0.1, p? 0.1 Let l be (-40)/(-42) + 10/(-35). What is the closest to 1 in -4, l, -0.3? l Let h(k) = -k**3 - 2*k**2 + 3*k. Let v be h(-3). Let i = -73/154 - 2/77. Which is the nearest to 1/2? (a) v (b) i (c) 2/9 c Let u = -524/2761 + 2/251. What is the closest to u in -5, 0.4, 2/7? 2/7 Let g = -2 + 3. Let y = 59.7 - 60. What is the closest to g in -2, y, -1? y Let r = -0.2 + 0.2. Let k = 665.97 + -662. Let y = k - -0.03. Which is the nearest to 1? (a) r (b) y (c) -3 a Let d = -83 - -82.9. What is the closest to -2 in d, 4, -5? d Let d = -10.3 + 9.3. What is the closest to 0.3 in -10, d, 3? d Let k be 3/(-4)*(-4)/6. Let n = 0.3 - 5.3. Let c = 71/8 - 797/88. What is the closest to k in n, -1, c? c Let a = -3 - -4. Let c = -212.3 - -212. What is the nearest to a in 0.4, -4, c? 0.4 Let z = 51/4 - 45/4. Which is the nearest to 2/3? (a) z (b) 2/11 (c) -2 b Let y = -159 + 161. Let x be (-6)/4*(-4)/6. Which is the nearest to y? (a) 0 (b) 0.3 (c) x c Suppose -3*n - 1 = 5. Suppose -2*s - 2*y = -3*s - 10, -6 = -s - 2*y. Let p be n/s - (-105)/(-95). What is the nearest to -0.1 in 2, p, 5? p Let f = 1 + 0. Suppose -2*b = -4*b + 5*p - 12, 4*p = -b + 7. What is the nearest to b in f, 0.2, -2? -2 Let z(g) = -5*g + 2. Let q be z(-2). Suppose -17*v = -12*v - 50. Let n be (-3)/15*v/q. Which is the nearest to 0? (a) n (b) -2/7 (c) 5/2 a Let p = -49 + 247/5. Suppose -4*t = g - 13, 5*t - t + 4*g = 28. Let o be (3 - t) + (-2 - 1). Which is the closest to p? (a) 1 (b) o (c) -4 a Suppose -14*w + 17*w = -6. Which is the closest to -1? (a) w (b) -4/5 (c) 5 b Let m = 4.27 + -4.3. Which is the closest to 0.2? (a) -3 (b) m (c) 5 b Let r = 9 - 4. Let m = r - 6. Let s = m + 0.7. What is the closest to s in -1/3, -4, 0.5? -1/3 Let f = -0.1 - -2.1. Which is the closest to -1? (a) 2/9 (b) 1/2 (c) f a Let a = -1 + 1. Let f be ((-4)/24)/(2/(-3)). Let d be 6/4*(-2)/6. What is the nearest to a in f, -1, d? f Let i = -47 - -42. What is the nearest to 0.1 in i, 0.5, 1.1? 0.5 Let g be (-4)/(-14) + (45/35)/(-3). Which is the nearest to 1? (a) g (b) 4.6 (c) 0.2 c Let y be 2/(-9) - 5916/(-6534). Let o = 2724 - 329606/121. Let x = y + o. Which is the nearest to x? (a) 4/3 (b) 0.4 (c) -2 b Let i = -7.9 - -7.86. What is the closest to 2 in i, 0.3, 2? 2 Let w = -10 + 10.35. Let d = w - -0.05. Which is the closest to 0.1? (a) 4 (b) d (c) 1 b Let x = -20 + 20.2. What is the closest to -0.06 in -1/3, x, -0.2? -0.2 Let u(v) = -v**3 - 8*v**2 + 10*v + 2. Let g be u(-9). Let d be 12/(-42)*g/(-3). Which is the nearest to d? (a) 3/4 (b) -3 (c) 0 c Suppose 5 = 6*l - 7*l. Let x = 7 + l. What is the closest to x in -4/5, 0.4, 1/2? 1/2 Let n = 25 - 99/4. Let l = -5.3 - -5. Let m = 4.4 - 4. Which is the nearest to n? (a) 5 (b) m (c) l b Suppose 0 = 5*l - 48 + 8. Suppose -l = -z - z. Which is the nearest to 0? (a) z (b) 0.4 (c) 0.1 c Let u = -153 + 153.97. Let s = u - 1. Let i = 0.37 - s. What is the nearest to 0 in -0.3, i, 1? -0.3 Suppose -30 = 4*r - 46. Which is the nearest to -0.4? (a) -5 (b) -4 (c) r b Let n(o) = o**2 + 5*o + 5. Let r be n(-4). Suppose -3*x + 2 + 4 = 0. Let b = r - x. What is the nearest to b in 5, 1/5, -2/7? -2/7 Suppose -2*k - 2*k = 64. Let m be (k/36)/(4/(-6)). What is the nearest to 0.3 in 1/4, -5, m? 1/4 Let a = -10 - -9.6. What is the nearest to a in 3, 2, -4? 2 Let t = 15 - 13.9. Let g = t - 1.2. What is the closest to g in 2/3, -2/7, 2/17? -2/7 Let x = -16 - -17.1. Let h = 1 - x. Let d = -194/21 + 74/7. Which is the nearest to 1? (a) d (b) 5/3 (c) h a Let v = 0.018 + 0.182. Which is the closest to 0? (a) v (b) 0 (c) -2 b Let y = -1.5 + 0.5. Which is the nearest to y? (a) -0.2 (b) 0.3 (c) 1/7 a Let q = -8.93 - -8.9. Which is the closest to -3? (a) q (b) 0.5 (c) 2 a Let j = 117 + -120. Which is the nearest to 1? (a) -5 (b) 2 (c) j b Let p be (-1 - -3)*(-9)/27. What is the nearest to p in 0, -4, -0.06? -0.06 Let t be (-4)/(-30) - (-155)/525. Which is the nearest to 0.1? (a) 4 (b) 2/7 (c) t b Let x = -781/4 + 194. Let q = 189 + -1699/9. Let z = 278 + -1940/7. Which is the nearest to 2/9? (a) z (b) x (c) q c Let l = 0.06 + -3.06. Let b = -1 - -0.9. What is the nearest to b in -2/3, 4, l? -2/3 Let l(s) = -s + 1. Let h be l(-4). Let r = -1.6 + -4.4. Let p = 6 + r. What is the closest to p in h, 1/3, 3? 1/3 Let h = -6.94 + -0.06. Let i = -11 + 6. Let r = h - i. Which is the nearest to 0.1? (a) 5 (b) r (c) -3/7 c Let o = 7 + -10. Let x = -0.23 - 0.07. Let n = 209/3 - 69. What is the nearest to n in x, o, -4? x Let t = -0.3 - -0.6. Let p = -0.5 + 0.9. Let f(o) = o - 1. Let g be f(3). What is the nearest to g in p, 1, t? 1 Let h(r) = r**2 - 17*r + 13. Let k be h(16). Which is the closest to 1? (a) k (b) -4/7 (c) 4 b Let p = 0.1 - -0.1. Which is the nearest to -1/4? (a) p (b) -4/5 (c) 0.1 c Suppose 2*t + 3*i - 29 = 0, -3*t - 3*i = -6*
{ "pile_set_name": "DM Mathematics" }
k(m) be the first derivative of -50/9*m + 17/3*m**2 + 202 - 2*m**3 + 1/18*m**4. Factor k(j). 2*(j - 25)*(j - 1)**2/9 Let d(l) = 3*l**3 - 18*l**2 + 15*l + 5. Let y be d(5). Suppose 3*v = 3*o - 152 - 433, 2*v - 1010 = -y*o. Find s such that 125/2 - o*s + 160*s**2 = 0. 5/8 Let q(m) be the third derivative of m**8/784 - 9*m**7/245 + 25*m**6/56 - 103*m**5/35 + 78*m**4/7 - 160*m**3/7 - 521*m**2 + 1. Factor q(x). 3*(x - 5)*(x - 4)**3*(x - 1)/7 Factor 78 - 21*l**3 - 2*l**3 + 4*l**3 - 30*l**2 + 17*l**3 - 7*l - 39*l. -2*(l - 1)*(l + 3)*(l + 13) Let d = 524 - 240. Let i = d + -1986/7. Find s, given that -8/7*s**3 + 4/7*s**2 + 10/7*s - i*s**5 + 4/7 - 8/7*s**4 = 0. -2, -1, 1 Let i(h) = -h**3 - 155*h**2 + 522*h + 7584. Let r be i(-158). Suppose -1/2*o + r - 1/2*o**2 = 0. Calculate o. -1, 0 Let x(r) be the first derivative of r**6/39 + 72*r**5/65 + 179*r**4/13 + 408*r**3/13 + 289*r**2/13 + 709. Solve x(o) = 0. -17, -1, 0 Factor 79764*v**2 - 1173*v - 159532*v**2 + 79765*v**2 + 1176. -3*(v - 1)*(v + 392) Let x(y) be the third derivative of -49*y**6/96 - 7*y**5/4 + 75*y**4/2 + 1000*y**3/3 - 774*y**2 + 2*y. Factor x(i). -5*(i - 4)*(7*i + 20)**2/4 Let n = 642220 + -1926653/3. Suppose -12 + 3*k + n*k**2 = 0. What is k? -3, 12/7 Let k be ((-52)/(-16))/((-43589)/(-3832)). Factor 20/7*o - 50/7 - k*o**2. -2*(o - 5)**2/7 Factor -52*z - 10*z**2 + 43*z - 13*z**2 + 399*z + 25*z**2 - 788. 2*(z - 2)*(z + 197) Let f(r) be the second derivative of 5*r**7/42 + 5*r**6/6 + 7*r**5/4 + 5*r**4/4 + 117*r - 3. Solve f(m) = 0 for m. -3, -1, 0 Let s = -759619/2 - -379822. Suppose s*d**5 - 111/2*d**3 - 6*d + 0 - 15*d**4 - 34*d**2 = 0. Calculate d. -1, -2/5, 0, 3 Let u be (-76)/(-16) + (-21)/(-84). Let z(i) be the third derivative of 0 + 0*i**3 + 0*i**4 + 0*i + 1/420*i**6 - 1/70*i**u - 14*i**2. Factor z(m). 2*m**2*(m - 3)/7 Find d such that -7*d**2 - 11*d**4 + 16*d**4 + 403*d**2 - 14*d**4 - 48*d**3 + 11*d**4 + 882 - 1232*d = 0. 1, 7, 9 Determine u, given that 17074 + 24800*u + 615*u**4 + 70*u**4 - 15*u**5 + 1596*u**3 + 31880*u**2 - 54949 - 10125 - 10946*u**3 = 0. -4/3, 1, 6, 20 Suppose -30*f + 9 = 21*f - 246. Let u(p) be the second derivative of -1/5*p**f + 2/15*p**6 + 0*p**2 + 2/3*p**3 + 0 - 1/3*p**4 + p. Let u(v) = 0. What is v? -1, 0, 1 Let p(w) be the second derivative of -w**6/315 + 17*w**5/70 + 13*w**4/21 - w**3/3 - 51*w**2/2 + 77*w. Let k(f) be the second derivative of p(f). Solve k(h) = 0. -1/2, 26 Let i = -463 + 461. Let f(m) = 2*m**2 + 48*m - 44. Let x(k) = k - 2. Let q(t) = i*f(t) + 44*x(t). Factor q(z). -4*z*(z + 13) Let m(h) be the first derivative of -2/5*h**5 + 18 - 1/4*h**6 + 2*h**2 + 0*h - 13/3*h**3 + 25/8*h**4. Solve m(o) = 0. -4, 0, 2/3, 1 Suppose 3521 = -11*i + 9461. Let n be (-12)/10*(-200)/i. Suppose -2/3*t + 4/9*t**2 - n = 0. What is t? -1/2, 2 Suppose 4*w + 58*p = 30*p + 32*p, -4*w = 2*p. Let o(h) be the second derivative of 1/120*h**4 + 15*h - 3/20*h**2 + w - 1/30*h**3. Solve o(t) = 0. -1, 3 Let i = -6700/19 - -47641/133. Solve -3/7*d**2 + 6 - i*d = 0. -14, 1 Solve -1082/3 + 360*b + 2/3*b**2 = 0. -541, 1 Let s(q) be the second derivative of -q**4/54 + 32*q**3/27 - 52*q**2/3 - 2730*q. Factor s(y). -2*(y - 26)*(y - 6)/9 Let a(b) be the second derivative of 3*b - 5/2*b**3 + 2 + 1/3*b**4 - 1/60*b**5 + 25/3*b**2. Factor a(q). -(q - 5)**2*(q - 2)/3 Let x = -79690 - -239074/3. Find k such that 36*k + 104/3 + x*k**2 = 0. -26, -1 Let w(r) be the first derivative of -2*r**3/3 - 63*r**2 + 128*r - 89. What is h in w(h) = 0? -64, 1 Let v = -7/3813 + 26705/7626. Find o, given that 5/2*o**2 + 1/2*o**3 + v*o + 3/2 = 0. -3, -1 Let p(r) = -7*r**5 + 21*r**3 + 10*r**2 - 15*r - 9. Let f(j) = 1 + j**3 - 4*j**5 - 8*j**2 - 6*j**2 + 14*j**2 + 2*j**5. Let x(q) = -f(q) + p(q). Factor x(a). -5*(a - 2)*(a - 1)*(a + 1)**3 Let w(g) be the second derivative of -6/5*g**2 + 1/15*g**3 + 17 - g + 1/30*g**4. Factor w(r). 2*(r - 2)*(r + 3)/5 Suppose n = -571487 + 571491. Solve -21*g**3 - 24*g - 9/2*g**n - 69/2*g**2 - 6 = 0. -2, -1, -2/3 Find h such that 4/5*h**3 - 72/5*h + 0 - 68/5*h**2 = 0. -1, 0, 18 Let w be (-6084)/(-429)*3/14 - 564/658. Factor -108/11 + 90/11*x + 2/11*x**3 - w*x**2. 2*(x - 6)*(x - 3)**2/11 Suppose 0 = 2*x + 2*p + 4, 1929 = -2*x - 3*p + 1920. Factor 0*n**2 + 7/3*n - 1/3*n**x - 2. -(n - 2)*(n - 1)*(n + 3)/3 Suppose 0 = 5*h - i + 9, 2*h = 4*h - i + 6. Let x(z) = -z**2 + 8*z + 9. Let d be x(h). Suppose 2/5*p**2 + d*p - 8/5 = 0. Calculate p. -2, 2 Let m(f) be the first derivative of -3*f**2/2 + 80*f - 126. Let i be m(26). Solve 6/7*x**4 - 12/7*x**3 + 6/7*x**i + 0 + 0*x = 0 for x. 0, 1 Let d = -3 + 5. Suppose 135 = 7*z + 100. Solve 1 + 4*c + 5*c**d - z*c**3 + 1 - 7 + c = 0. -1, 1 Suppose 4*v - 65*q + 70*q = 57, 15 = -4*v + 3*q. Let 0 + 22/17*p**2 + 0*p - 2/17*p**v = 0. Calculate p. 0, 11 Let w be 21/(-2)*(73/((-9855)/(-2100)) + -20). Factor -11/6*p**5 - 40*p - w*p**3 - 200/3*p**2 - 16/3 - 15*p**4. -(p + 2)**4*(11*p + 2)/6 Let c(m) be the first derivative of 2*m**3/21 + 1977*m**2/7 + 3952*m/7 - 13504. Factor c(s). 2*(s + 1)*(s + 1976)/7 Let x be (-411)/60 + (2 - -5). Let k(g) be the second derivative of 6*g + x*g**5 + 3/4*g**4 + g**3 + 0 + 0*g**2. Factor k(s). 3*s*(s + 1)*(s + 2) Let h(v) = -15*v + 123. Let d be h(8). Suppose -2*y - 2*f = -23 + 9, 0 = 4*y + d*f - 24. Factor -16/19*u**y - 8/19*u**2 + 0 - 2/19*u**5 - 10/19*u**4 + 0*u. -2*u**2*(u + 1)*(u + 2)**2/19 Let l(i) be the third derivative of -1/240*i**5 + 0*i - 42*i**2 + 1/24*i**4 - 1/8*i**3 + 1. Determine d, given that l(d) = 0. 1, 3 Determine b, given that -30533*b**2 + 30256*b**2 + 19*b - 55*b**3 - 249*b - 8 = 0. -4, -1, -2/55 Let g(l) be the third derivative of 1/3*l**4 + 0 - 75*l**2 + 0*l + 0*l**3 - 1/10*l**5 - 1/60*l**6. Suppose g(p) = 0. What is p? -4, 0, 1 Suppose -437*i + 373*i + 107 = -85. Let t(d) be the first derivative of 2/3*d**i + 2*d - 24 + 2*d**2. Determine p so that t(p) = 0. -1 Let a(c) be the third derivative of c**5/120 - 49*c**3/12 + 1126*c**2. Factor a(l). (l - 7)*(l + 7)/2 Let r(q) = 2*q + 1. Let g(a) = -2*a**2 + 4016*a - 2036172. Let j(m) = -g(m) - 10*r(m). Suppose j(p) = 0. What is p? 1009 Let g(u) = -16*u**3 + 183*u**2 + 697*u + 489. Let a(z) = 4*z**3 - 46*z**2 - 174*z - 122. Let m(r) = 9*a(r) + 2*g(r). Factor m(h). 4*(h - 15)*(h + 1)*(h + 2) Let c(n) be the third derivative of 5/9*n**3 + 1/540*n**6 - 7/270*n**5 + 0*n + 0 + 7/108*n**4 - 175*n**2. Find z, given that c(z) = 0. -1, 3, 5 Let m(b) be the second derivative of -42*b**2 - 1/3*b**4 + 0 - 20/3*b**3 + b. Factor m(a). -4*(a + 3)*(a + 7) Find v, given that 154*v**2 - v - 1368 + 157*v**2 + 163*v**2 - 471*v**2 + 331*v = 0. -114, 4 Factor -2448*r**2 + 43*r + 2445*r**2 + 66*r - 7*r + 456. -3*(r - 38)*(r + 4) Let j(z) be the first derivative of z**4/18 - z**3/12 - z**2/12 + 61*z - 13. Let t(i) be the first derivative of j(i). Factor t(u). (u - 1)*(4*u + 1)/6 Suppose l = -1, -y = 3*y + 4*l - 12. Factor -3 + 22*o**2 - 3 + 6 + 24*o**3 + 48*o**4 - 46*o**y. 2*o**2*(o + 1)*(o + 11) Let p(l) be the first derivative of 4/5*l + 1/5*l**2 - 2/15*l**3 - 170. Solve p(j) = 0. -1, 2 Let t(g) = g**3 - 28*g**2 + 70*g + 19. Let y be t(3). Find z such that 104*z**3 + y*z**5 - 104/3*z**4 + 20*z - 352/3*z**2 + 24 = 0. -1/3, 1, 2, 3 Suppose 33*b**4 - 372*b**3 + 72*b + 83*b - 75*b + 6*b**4 + 112*b**2 - 3*b**4 = 0. What is b? -1/3, 0, 2/3, 10 Let k(g) be the second derivative of g**7/14 - 47*g**6/15 - 73*g**5/20 + 23*g**4 + 190*g**3/3 + 64*g**2 - 530*g. Solve k(f) = 0 for f. -1, -2/3, 2, 32 Find s such that 12 + 2*s**4 - 22 - 8*s + 18*s**2 + 35*s**3 + 0*s**2 - 14 - 23*s**3 = 0. -3, -2, 1 Let h(o) = -14*o**4 + 956*o**3 + 5304*o**2 + 8702*o + 4324. Let r(l) = -2*l**4 + 137*l**3 + 758*l**2 + 1243*l + 618. Let j(n) = 6*h(n) - 44*r(n). Factor j(v). 4*(v - 78)*(v + 1)*(v + 2)**2 Factor 4649*m - 2324*m - 3*m**4 + 35*m**3 + 39*m**2 + m**3 - 2325*m. -3*m**2*(m - 13)*(m + 1) Suppose -86*j + 34*j + 208 = 0. Let v(h) be the second derivative of -h + 0*h**2 + 1/28*h**j - 3/14*h**3 + 0. Factor v(u). 3*u*(u - 3)/7 Let s(c) be the third derivative of -c**6/48 + 11*c**5/60 - 5*c**4/48 - c**3 - 2*c**2 + 200. Solve s(r) = 0. -3/5, 1, 4 Find j, given that -4*j**2 - 16*j**3 + 1/4*j**4 + j**5 + 0*j + 0 = 0. -4, -1/4, 0, 4 Suppose 0 = 9*z - 1394 + 1223. Suppose 2*a**2 + z*a - 6*a**2 - 26896 - 73*
{ "pile_set_name": "DM Mathematics" }
se -2*y = 2*i - 3*i + 12, -y - 15 = -5*i. What is the least common multiple of 16 and i? 16 What is the least common multiple of 12 and 40/60 + 50/6? 36 Let n be (-5)/(-2)*(-4)/(-5). Suppose 0 = n*d + d - 6. What is the least common multiple of d and 6? 6 Let l = 1388920/9 + -154118. Let z = l - 3497/18. What is the common denominator of -1/72 and z? 72 Let l(o) = 3*o - 4. Let d(c) = -c**2 - 5*c + 30. Calculate the lowest common multiple of d(-8) and l(6). 42 Let a = 8 + -7. Let m = a + -3. Calculate the common denominator of (1/m*-53)/6 and 43/16. 48 Let m = 64 + -44. Suppose -3*j = -2*j, -5*j - 60 = -3*o. What is the smallest common multiple of o and m? 20 Suppose 2*c = 5*d + 31, 4 = -4*c - 3*d + 27. Suppose n - 15 = -2*s, 0*n - c = -n + 5*s. Suppose -77 = -5*i + n. Calculate the least common multiple of i and 12. 36 Let d(o) = -o**3 + 3*o**2 + 2. Let m be d(3). Suppose -m*v + 9 = v. Suppose 0*l = -v*l + 24. What is the smallest common multiple of 22 and l? 88 Let o be -10*(-3)/3 + 0. Let n be 27*(o/(-3) - -2). Calculate the least common multiple of (-2)/(-9) + (-496)/n and 16. 112 Suppose -y - 22 = -44. Let g(i) = i**2 - 2*i - 7. What is the smallest common multiple of g(5) and y? 88 Let l = 4 + -2. Suppose -l = 3*q + 1. Calculate the smallest common multiple of 16 and q/(-2) - (-117)/6. 80 Let v(b) = b**2 - 2*b - 1. Let i be v(3). Let p = -47 + 95. Calculate the common denominator of 5/8 and 3/p*i*5. 8 Let s = 3 + -5. Let t = 4723/152 + -816/19. Calculate the common denominator of s/7 + 1040/308 and t. 88 Let r = 5 - -4. Let g(b) = -b**2 - 5*b + 3. Let h be g(-5). Calculate the lowest common multiple of ((-30)/(-4))/(h/4) and r. 90 Let s(v) = 2*v**3 - 12*v**2 + v + 8. Let n(u) = u**3 - 13*u**2 + 2*u + 8. Let p(a) = -3*n(a) + 2*s(a). What is the lowest common multiple of p(-15) and 6? 156 Let b = -173/4 + 387/8. Calculate the common denominator of b and 69/14. 56 Let s = 1543 - 158931/103. Let z = s - -216/515. Find the common denominator of 36/11 and z. 55 Let n(f) = -f**2 - 6*f - 7. Let j be n(-5). Let o be 0 + 128*j/14. Let q = o + 687/28. What is the common denominator of q and -29/3? 12 Let j be (-42)/(-30) + (-2)/5. Let i(p) = -5*p**2 - p + 1. Let s be i(j). Let w = s + 13. Calculate the least common multiple of w and 20. 40 Suppose -15 = 5*y, 0*r - r - 5*y - 8 = 0. Let b(j) = j**2 + 4*j - 2. Let i be (-3)/(-6)*-14 + 2. What is the smallest common multiple of b(i) and r? 21 Let h be 106/(-22) + 4/(-22). What is the common denominator of 13/h*7/(-2) and 41/6? 30 Let l be (-4)/6*206/(-28). Let o = 1571/42 - l. Calculate the common denominator of 235/15 + 5*5/50 and o. 6 Let z(f) = f**2 + 3*f - 2. What is the least common multiple of 8/(-1)*(-5)/2 and z(-4)? 20 Suppose -3*t - i + 15 = -0*t, 0 = -i + 3. Suppose 81 = 8*d + d. What is the smallest common multiple of (2 + 2)*10/t and d? 90 Suppose 0 = 2*r - 5*s - 30, -2*r - 2*s + 18 = -4*s. What is the lowest common multiple of 10 and r? 10 Let z(l) = l**2 + 10. What is the lowest common multiple of z(0) and ((3 + 1)/2)/1? 10 Let i = 16 + -2. What is the smallest common multiple of i and 1? 14 Let u = 1638 + -13085/8. What is the common denominator of u and 1/1 - 110/(-10)? 8 Suppose -2*l - 3*c + 19 = 0, -2*c + c = -5. What is the smallest common multiple of 24 and l? 24 Let d be (-21)/(-4) - (-3)/12. Let t = -15 - d. Calculate the common denominator of 2/(-4) - 194/24 and t. 12 Let j be (-1 + 4)/1 + -1. Suppose -2*z + t = -3*z - 10, 0 = -j*z + 2*t. Find the common denominator of 133/6 and 11/((2*z)/1). 30 Suppose 0 = 2*n + 3*n - 100. Calculate the lowest common multiple of n and 4. 20 Let n = -66 + 34. Let u = -305/11 - 325/22. What is the common denominator of n and u? 2 Suppose -2*f - 5 = -13. What is the least common multiple of 18 and f? 36 Suppose p - 10 - 6 = 0. What is the least common multiple of 16 and p? 16 What is the common denominator of -15/44 and -3 - (-6)/(72/15)? 44 Suppose 2 = -5*w - 8. Let p = -1 - w. Let h(k) = k**3 + 5*k**2 - 8*k - 2. What is the smallest common multiple of h(-6) and p? 10 Find the common denominator of 14/15 and 6/(-1 + -3*(-75)/99). 105 Let d = 20 + -24. Let o(f) = f**2 + 3*f + 6. What is the least common multiple of 12 and o(d)? 60 Let h = 2068/145 + -54/29. Find the common denominator of 81/2 and h. 10 Suppose -2*h - 44 = -6*h. What is the smallest common multiple of 3 and h? 33 Let f(l) = -l + 8. Let q be f(6). Let w be q/3*(-3)/1. Calculate the common denominator of -53*w/(-4)*1 and -12. 2 Let d(q) = -10*q**3 - q**2 - q - 1. Let v be d(-1). Calculate the common denominator of (3/v)/(2/98) and (-2)/(-9)*((-70)/(-4))/7. 9 Let s = -12 - -22. Suppose -g = g - s. Calculate the least common multiple of 1 and g. 5 What is the common denominator of 6/(-39) + (-449)/(-130) and 12/11? 110 Suppose -3*d + 3732 = k - 1149, -3*k + 14613 = -d. Let y = k + -68097/14. Let z = -9131/8 + 1132. What is the common denominator of y and z? 56 Let h = 4501/6 - 6680/9. Find the common denominator of 3/36*38/(-1) and h. 18 Let f be 4/6*(-2 - -8). Suppose 0 = -2*w + 8 + f. Let y(o) = o**2 + o. What is the smallest common multiple of w and y(-4)? 12 Find the common denominator of (-27)/30*110/(-12) and 89/14. 28 Let b(t) = -2*t**3 + t**2 + 2*t. Let q = -8 + 6. Suppose 17 = 3*c - 13. What is the smallest common multiple of b(q) and c? 80 Let s(t) = -4*t - 8. Let n = -3 + 6. Suppose n = -u + 19. What is the lowest common multiple of s(-6) and u? 16 Suppose b - 29 = -15. What is the smallest common multiple of b and 16? 112 Calculate the lowest common multiple of 52 and (53 + -20)/(-1 - (-5)/2). 572 Let p(g) = 13*g - 4. Let n be -1*1 - (1 + -6). Calculate the common denominator of 92/(-6) + 2/6 and p(n). 1 Let w(k) = 11*k**2 - k + 1. Let v = -8 + 13. Suppose -5*a - 5 = 5*d + v, -5*d - 16 = 2*a. What is the lowest common multiple of w(1) and a? 22 Suppose -1 = 2*m - m. Let x(d) = 6*d**2 - d. Calculate the smallest common multiple of x(m) and 1. 7 Let q(t) = -t**3 - 10*t**2 + 14*t + 8. Let v be q(-10). What is the common denominator of 158/12 - -1*1 and (v/(-20))/(4/(-15))? 12 Suppose -5*y + 99 = -2*y. Calculate the least common multiple of y and 3. 33 Let x = -32 - -51. Suppose -i - b = -x, i + 73 = 5*i + 5*b. Calculate the least common multiple of i and 8. 88 Suppose 5*v - 4*b = 50, 5*b - 18 = -4*v + 22. What is the smallest common multiple of v and 12? 60 Let r be 2/(-8) + (-246)/8. Calculate the least common multiple of (-1)/3 - r/3 and 6. 30 What is the smallest common multiple of 1 and (-1 + 13)*4/12? 4 Let l be 2*106 + 4/2. Let n = l + -4291/20. Calculate the common denominator of n and 67/6. 60 Let m = -81 - -85. What is the lowest common multiple of m and 2? 4 Let l be (55/15)/((-10)/(-2087)). Let s = l - 3752/5. Find the common denominator of s and -89/10. 30 Let f(a) = -a + 12. Let t be f(9). What is the common denominator of (-4)/6 + 969/(-126) and 1 - 143*t/60? 140 Let h = 1 - 2. What is the common denominator of -35/12 and 12/8 + h + 21? 12 Let i = -2 - 1. Let z be i/(1/1 + 0). Calculate the smallest common multiple of 40/(-15)*z/2 and 3. 12 Let a = -19759/6 + 3311. What is the common denominator of a and -33/8? 24 Let c be (-11 + 9)/(0 - 2). Calculate the smallest common multiple of 18 and 17 + -1 + c + -3. 126 Let k(g) be the third derivative of -g**5/60 - 3*g**4/8 + g**3/6 + g**2. Calculate the smallest common multiple of 3 and k(-8). 9 Find the common denominator of -27/28 and (-9)/27 - 1/(24/(-27)). 168 Let a = 36 - 26. What is the lowest common multiple of a and 1? 10 Let o(z) = 5*z**2. Let j be o(1). Suppose j*v - 12 - 32 = 2*l, 3*v - 4*l = 18. Let c = 42 - 33. Calculate the smallest common multiple of c and v. 90 Let k = -83373/14 + -16271/7. Let f = k - -8288. Calculate the common denominator of 97/12 and f. 84 Let g = -11 - -21. Suppose 0*a - 10 = -2*a. Let d = a - -1. What is the smallest common multiple of g and d? 30 Find the common denominator of 69/(-28) + 14 + -10 and -49/16. 112 Let t = -3/2629 - -381223/15774. Calculate the common denominator of t and (-13)/(-12) - (-5 + 4). 12 What is the common denominator of 1/14*-4 - (-5)/(-10) and -11/20? 140 Suppose 2*h - 3*h = -5, 0 = 4*x - 3*h - 1. Suppose -5*g = v - 3*g - 7, 2*g = x*v - 38. Calculate
{ "pile_set_name": "DM Mathematics" }
q)). -154449*q**2 - 2358*q - 9 Let o(j) = -4*j. Let f be (-3)/(-2 + 125/70). Let n(y) = -35*y + 14. Let w(x) = 7*x - 3. Let v(a) = f*w(a) + 3*n(a). Calculate v(o(m)). 28*m Let z(o) be the second derivative of -37*o**4/6 - 2*o - 102. Let i(l) = 4*l**2. What is i(z(v))? 21904*v**4 Let l(a) = -17*a**2. Let f(s) = -4*s**2. Let m(g) = 26*f(g) - 6*l(g). Suppose -16*n = -15*n - 9. Let u(h) = 10*h + n*h - 25*h. Calculate u(m(i)). 12*i**2 Let x(c) = c**2. Suppose 0 = 2*w + 3*o - 50, 53 + 5 = 3*w - 4*o. Let h(s) = w*s + 2 + 20*s - 4*s. What is h(x(y))? 38*y**2 + 2 Let m(y) = 2*y + 208. Let w(d) = 9*d - 3. What is m(w(s))? 18*s + 202 Let w(o) be the third derivative of 1/24*o**4 + 0 + 0*o**3 + 0*o - 7*o**2. Let v(h) = 10*h. Calculate v(w(j)). 10*j Suppose 4 = -b + 3*b. Let u(a) = 3*a**2 + b*a**2 + 0*a**2 + 0*a**2. Let j(o) = 3*o. What is u(j(h))? 45*h**2 Let k(p) = 45*p. Let s(y) = 16*y + 63. What is s(k(u))? 720*u + 63 Let u(t) = -26*t**2. Let p(v) = v**2 + 9*v. Let g(c) = -c**2 + 3*c. Let q(f) = 3*g(f) - p(f). Determine q(u(x)). -2704*x**4 Let s(y) = -22*y. Let r(k) be the third derivative of -k**4/6 + 17*k**2 - 2*k. Calculate s(r(z)). 88*z Let v(h) = h**2. Let q(o) be the third derivative of 9*o**4/2 + 9*o**2. Give v(q(w)). 11664*w**2 Let k(c) = 3*c. Let p(b) = -9*b - 2*b + 6*b + 6*b. Let d(n) = -k(n) + 5*p(n). Let t(g) = 2*g. Determine d(t(i)). 4*i Let f(o) = 27*o. Let m(y) = y**2 - 8*y + 4. Let v(p) = 3*p**2 - 26*p + 13. Let w(j) = -13*m(j) + 4*v(j). Give f(w(a)). -27*a**2 Let t(f) = -6*f**2. Let i(g) be the second derivative of g**4/12 + g + 2. Give i(t(j)). 36*j**4 Let k(b) = b - 8. Let d(x) = -2*x + 2. Let t(c) = 4*d(c) + k(c). Let o(j) = j**2. What is o(t(m))? 49*m**2 Let b(m) = 14*m + 65. Let s(r) = 3*r**2 + 23*r. What is s(b(f))? 588*f**2 + 5782*f + 14170 Let o(d) = -5*d. Let h be o(-1). Let x(b) = 5*b**2 - h*b**2 - 4*b**2. Let t(q) = 2*q**2 - 3*q**2 + 2*q**2. Give x(t(v)). -4*v**4 Let d(h) = 3*h**2 + h**2 - 2*h**2. Let k(p) = -9*p**2 + 8*p. Let j(w) = -w**2 + 8*w. Let v(t) = j(t) - k(t). Give v(d(o)). 32*o**4 Let h(n) = 9*n + 6. Let g(k) = -20*k - 10. Let d(t) = 3*g(t) + 5*h(t). Let m(f) = -10*f. What is d(m(c))? 150*c Let i(a) = -a. Let r be 3/12 - (5439/(-12))/7. Let p(h) = -2 + 71*h**2 + 2 - r*h**2. Determine i(p(t)). -6*t**2 Let t(i) = i**2 + 12*i + 4. Let n be t(-14). Let m(p) = 2*p - 32 + n. Let y(j) = 4*j**2. Let z(c) = -12*c**2. Let u(k) = 11*y(k) + 4*z(k). What is m(u(g))? -8*g**2 Let f(x) be the second derivative of 28*x + 0 + 1/6*x**3 + 0*x**2. Let d(u) = 11*u + 3. Let g(n) = 165*n + 44. Let k(h) = -44*d(h) + 3*g(h). Determine k(f(c)). 11*c Let s(h) = -182*h**2. Let w(x) = -337*x. Calculate w(s(l)). 61334*l**2 Let g(i) = 61*i + 37*i + 199*i + 3*i. Let c(t) = 2*t. Give g(c(z)). 600*z Let c(s) = -9*s. Let o(g) be the first derivative of -2/3*g**3 + 0*g + 0*g**2 + 6. Give o(c(l)). -162*l**2 Let d(u) = 463*u - 3. Let z(f) = -925*f + 5. Let r(b) = 7*d(b) + 4*z(b). Let x(i) = i**2. Calculate x(r(p)). 210681*p**2 + 918*p + 1 Let z(j) = -2*j + 104. Let i(d) be the first derivative of -d**2 + 180. Calculate i(z(q)). 4*q - 208 Let m(i) = -14*i - 3. Let w(a) = 33*a + 7. Let x(d) = 7*m(d) + 3*w(d). Let z(q) = -76*q**2. What is z(x(p))? -76*p**2 Let y(l) = 12*l**2. Let k(a) = -331*a**2. Determine k(y(u)). -47664*u**4 Let o(w) = 5*w**2 - 7. Let b(z) be the first derivative of -z**5/60 - 34*z**3/3 - 10. Let k(f) be the third derivative of b(f). Give o(k(c)). 20*c**2 - 7 Let j(w) = 1312*w + 2. Let l(p) = -635*p**2. Calculate j(l(z)). -833120*z**2 + 2 Let p(c) = 282151*c**2 + 1981*c + 1981. Let s(q) = -570*q**2 - 4*q - 4. Let o(d) = -4*p(d) - 1981*s(d). Let y(f) = -3*f**2. Calculate y(o(w)). -961068*w**4 Let o(s) be the second derivative of 0*s**2 - 10/3*s**3 - 6*s + 0. Let z(n) = -4*n. What is z(o(c))? 80*c Let g(u) = -u + 1 - 1. Let d(p) = 18*p + 18. Let s(y) = 5*y + 4. Let r(q) = -2*d(q) + 9*s(q). Determine g(r(k)). -9*k Let d(b) = 2*b**2. Let h(l) = 9692*l + 87. Give h(d(o)). 19384*o**2 + 87 Let r = -13 - -12. Let c be (-2 - r)/(4/(-8)). Let d(i) = -9*i**c - 6*i**2 - 4*i**2 + 10*i**2. Let l(f) = f. Calculate l(d(k)). -9*k**2 Let b(y) = 6075*y**2 - 3. Let r(m) = 2*m. Determine b(r(i)). 24300*i**2 - 3 Let l(r) = -299*r**2. Let j(g) = 3*g + 2. Let t(h) = -8*h - 4. Let n(y) = -2*j(y) - t(y). Give n(l(x)). -598*x**2 Let l = 26 + -27. Let p = 11 - l. Let g(f) = p*f - 2*f**2 + f**2 - 12*f. Let i(v) = -4*v**2. Calculate i(g(j)). -4*j**4 Let j(z) = -115 - 12*z**2 + 115. Let l(m) = 22*m**2. Give j(l(y)). -5808*y**4 Let y(f) = 26461*f. Let r(d) = -d**2 + 35. Calculate r(y(z)). -700184521*z**2 + 35 Suppose 89 = 5*y + 2*w, 3*y + 0*w = 3*w + 66. Let k(z) = 4*z**2 - y*z**2 + 8*z**2. Let f(l) = -3*l**2. What is f(k(n))? -147*n**4 Let g(o) = 130454*o. Let s(z) = -2*z**2. Calculate s(g(m)). -34036492232*m**2 Let q(b) = 2*b**2. Let p(x) be the third derivative of -5/12*x**4 + 0*x**3 - 23*x**2 + 0 + 0*x. Calculate p(q(f)). -20*f**2 Let y(z) = -7*z - 7. Let x(f) = -193*f**2 - 192*f**2 + 383*f**2. What is x(y(n))? -98*n**2 - 196*n - 98 Let a(p) = 125676*p. Let f(v) = 3*v. What is f(a(j))? 377028*j Let t(s) = -s + 2*s**2 + s. Let g be 93 + -3 + -4 + 5. Let q(d) = -94*d + 182*d - g*d. Determine t(q(k)). 18*k**2 Suppose 0 = -4*u + 70 - 18. Suppose 5*b = -u - 12. Let w(s) = 3*s**2 + 5. Let h(d) = d**2 + 1. Let j(z) = b*h(z) + w(z). Let o(f) = 4*f**2. Give o(j(n)). 16*n**4 Let d(s) = 8*s**2. Let m(t) = 26021*t. Calculate m(d(l)). 208168*l**2 Let l(o) = 161*o - 481. Let j(r) = -2*r. Give j(l(a)). -322*a + 962 Let i(z) be the first derivative of 19*z**2/2 + 2*z + 98. Let a(q) = -7*q. What is i(a(j))? -133*j + 2 Let j(d) = -d. Let r(m) = 286*m**2 + 7*m + 14. Let z(u) = -143*u**2 - 3*u - 6. Let v(h) = -3*r(h) - 7*z(h). Calculate j(v(x)). -143*x**2 Let n(f) = -261723*f. Let y(w) = 3*w**2. Give n(y(k)). -785169*k**2 Let z(k) be the first derivative of 9*k**2/2 - 2. Let l(y) = 343*y. Let a(r) = 4*l(r) - 154*z(r). Let t(v) = 2*v. Determine a(t(f)). -28*f Let r be 13*(4 + -3 - 0). Let w = -5 + r. Let i(k) = w*k - 15 + 15. Let z(u) = 2*u. Give z(i(x)). 16*x Let q(r) = 77*r**2. Let y(n) = 114*n**2. Determine y(q(o)). 675906*o**4 Let z(t) = t**2. Let j(l) be the first derivative of l**2 + 13*l + 539. Determine z(j(d)). 4*d**2 + 52*d + 169 Let c(g) = -7*g + 3. Let l(m) = -55*m + 25. Let r(f) = 50*c(f) - 6*l(f). Let v(q) = 2544328 - 2544328 - q. Give r(v(w)). 20*w Suppose -b - 3*b = -8. Let m(p) = 0*p + 6*p + 3*p + b*p. Let k(q) = 3*q**2. What is m(k(u))? 33*u**2 Let b(l) = 4998*l - 3 + 3*l**2 - 5078*l + 3. Let n(d) = d**2. What is b(n(x))? 3*x**4 - 80*x**2 Let m(v) = v - 184. Let w(j) be the third derivative of -j**5/30 - 10*j**2 - 21*j. What is w(m(s))? -2*s**2 + 736*s - 67712 Let d(q) be the second derivative of q**4/6 - q - 24. Let b(f) = f + 124. Give d(b(g)). 2*g**2 + 496*g + 30752 Let w(h) be the first derivative of -19*h**5/120 - 10*h**3 + 20. Let j(p) be the third derivative of w(p). Let l(o) = o**2. What is j(l(b))? -19*b**2 Let n(v) = 3*v**2. Let m(k) be the first derivative of -518*k**3/3 - 788. What is n(m(a))? 804972*a**4 Let z(c) = 7*c**2. Let a(j) be the first derivative of -j**3/2 + 3*j - 9. Let q(b) be the first derivative of a(b). Give q(z(l)). -21*l**2 Let d(m) = m. Suppose -8*k + 2 = -14. Let p be k*2*(-1)/(-2). Let h(i) = i**2 + 6*i**p - 3*i**2 + 2*i**2. What is d(h(l))? 6*l**2 Let y(t) = 2*t**2 + 3*t + 14. Let j be y(0). Let i(d) = -5*d - 3*d - j*d. Let u(s) = -2*s**2. Calculate i(u(w)). 44*w**2 Let a(s) = 5*s - 2*s + 0*s**2 + 0*s**2 + 3 - 7*s**2. Let l(q) = q + 1. Let m(y) = a(y) - 3*l(y). Let x(h) = -8*h**2. Calculate x(m(k)). -392*k**4 Let j(z) = z**2 + 0 + 57*z - 44*z + 0 + 0*z**2. Let a(q) = 14*q. What is j(a(c))? 196*c**2 + 182*c Let f(o) = -2*o + 5. Let c(u) = 6*u - 14. Let i be (1/2)/((-3)/84). Let z(y) = i*f(y) - 5*c(y). Let x(s) = 13*s - 10*s + 8*s. Determine x(z(v)). -22*v Let q(m) = 3*m - 21. Let v(o) = o - 6. Let y(u) = -2*q(u) + 7*v(u). Let i(g) = 2*g - g - 2*g. What is i(y(t))? -t Let w(r) = -4*r - 5. Let m(s) = 2*s + 2. Let j(c) = -5*m(c) - 2*w(c). Let z(h) = -2*h + 1. Let l(o) = 75*o - 9. Let a(n) = -l(n) - 9*z(n). Calculate j(a(f)). 114*f Let r(a) = 30*a**2. Let o(p) be the first derivative of -p**3/3 + 3*p**2 + 10*p + 6. Let d be o(7). Le
{ "pile_set_name": "DM Mathematics" }
693621*b**3 + b**2 - 20475731*b? -36*b**2 - 4161726*b + 2 Find the third derivative of -32012099*n**3 - 44874874*n**2 wrt n. -192072594 Differentiate -87504*r**2 + 12*r + 2856430 with respect to r. -175008*r + 12 What is the first derivative of 3*r**3 + r**2 - 21118466*r - 121285085 wrt r? 9*r**2 + 2*r - 21118466 Find the second derivative of -433545703*y**2 - 15836946*y + 4. -867091406 Find the second derivative of 5930110*t**3 + 95150919*t wrt t. 35580660*t What is the third derivative of 1027495586*j**5 + 24073440*j**2 + 2? 61649735160*j**2 Find the second derivative of 3619*s**4 - 525*s**3 - 2*s**2 - 6099721*s - 1 wrt s. 43428*s**2 - 3150*s - 4 What is the derivative of 3462712*s - 10942994? 3462712 What is the third derivative of -22*n**6 - 13497*n**4 + 10*n**3 - 108951057*n**2 wrt n? -2640*n**3 - 323928*n + 60 Find the second derivative of 8242*t**5 + 753*t**4 + 209773*t + 88. 164840*t**3 + 9036*t**2 What is the third derivative of -194377119*q**5 + 91216*q**2 + 88*q + 2 wrt q? -11662627140*q**2 Differentiate -4*t**4 - 76*t**3 + 8691*t - 162540 with respect to t. -16*t**3 - 228*t**2 + 8691 Find the second derivative of 5*h**2*l*t + 644*h**2*l - 456*h**2 - 715*h*l*t + 2194*h*l + 2*h*t - 8*l*t + 2*l - 2 wrt h. 10*l*t + 1288*l - 912 Differentiate 49533*q**4 + 11*q + 2301681 wrt q. 198132*q**3 + 11 Differentiate -465721613*b + 803145339. -465721613 What is the third derivative of 29823408*i**3*j**3 - i**3*j**2 - 3*i**2*j**2 - 419617*j**3 wrt i? 178940448*j**3 - 6*j**2 What is the first derivative of -43793821*c**3 - 14343631 wrt c? -131381463*c**2 Find the second derivative of 16*r**3*x + 576*r**3 + 7*r**2*x + 7*r**2 + 1567664*r*x wrt r. 96*r*x + 3456*r + 14*x + 14 What is the second derivative of -2*m**3*z + m**2*z**2 + 2*m**2*z + 27105*m**2 - 18*m*z - 2*m - z**2 + z + 242 wrt m? -12*m*z + 2*z**2 + 4*z + 54210 Find the second derivative of 3*d**4 - 288541*d**2 + 2*d + 30640429 wrt d. 36*d**2 - 577082 Find the first derivative of -8*c**4*x - 2754840*c*x**3 + 6755822*x**3 wrt c. -32*c**3*x - 2754840*x**3 What is the second derivative of 2498*l**2*z**2 + 1130889*l**2 - 6*l*z**5 - l*z - 17*z**2 wrt z? 4996*l**2 - 120*l*z**3 - 34 Find the third derivative of -426534334*k*n**6 + 72*k*n**2 + 1938*k + 353*n wrt n. -51184120080*k*n**3 What is the first derivative of 5855*s**3 - 317*s - 6813607? 17565*s**2 - 317 Find the third derivative of -2316*t**5 - 1370*t**3*x + 30674*t**2*x + 96*x wrt t. -138960*t**2 - 8220*x Find the first derivative of 6101626*g**3 - g**2 + 11852787 wrt g. 18304878*g**2 - 2*g Find the first derivative of 99932816*t + 12416836. 99932816 What is the second derivative of -55*y**4 + 56*y**3 - 1243*y**2 + 7*y - 6171064? -660*y**2 + 336*y - 2486 What is the first derivative of o**2*s**2 - 19331835*o**2 - 5*o*s**3 + 19271*o*s wrt s? 2*o**2*s - 15*o*s**2 + 19271*o What is the second derivative of 12698*u**3*x**2 - 14206638*u**3*x + 472*u*x**2 wrt x? 25396*u**3 + 944*u Find the third derivative of 10052352*v**4 + 2*v**3 + 23600*v**2 + 933*v. 241256448*v + 12 What is the second derivative of -427920035*h**2*w**3 - h*w**3 - 7*h*w**2 - 2*h*w + 58251*h - 3 wrt h? -855840070*w**3 What is the second derivative of -16*t*v**2 - 61*t*v + 1956*t - 231324*v**2 + 96 wrt v? -32*t - 462648 Find the second derivative of -282267145*y**4 + y + 5086486. -3387205740*y**2 Find the first derivative of -g**3 - 2954404*g**2 + 17669862. -3*g**2 - 5908808*g Find the third derivative of -32246303*y**5 + y**3 + 420*y**2 - 12155 wrt y. -1934778180*y**2 + 6 What is the second derivative of -6*i**3*t**2 - 6*i**3*t - 166219*i*t**2 + 6*i*t + t**2 + 29607*t wrt t? -12*i**3 - 332438*i + 2 Find the first derivative of 4225*x**4 - 53*x**2 + 14581265 wrt x. 16900*x**3 - 106*x What is the third derivative of -16*a*o**3*t**2*y - 2*a*o**3*y - 4*a*o + 2*o**3*t*y + 10792*o**2*y - o*t**2 - t**2*y wrt o? -96*a*t**2*y - 12*a*y + 12*t*y What is the second derivative of -583173*g**5 + g**3 - 2726167*g - 1? -11663460*g**3 + 6*g Find the first derivative of 197084692*g - 267987789. 197084692 Find the third derivative of -442*g*k**2*t**3 + 5*g*k**2*t**2 + 2*g*k**2 + 4*g*k*t**2 - 453500*g*t**3 + g*t + 4*k**2*t**2 + k**2*t + 3982 wrt t. -2652*g*k**2 - 2721000*g What is the third derivative of -96017473*h**3 + 113039769*h**2? -576104838 Find the third derivative of 489971242*w**4 + w**3 - 11524823*w**2 + 2*w. 11759309808*w + 6 Differentiate -563562*s*z + 118168547*s + 21*z**3 with respect to z. -563562*s + 63*z**2 What is the third derivative of -92838*q**6 + 13*q**5 - 102*q**2 - 47*q + 36 wrt q? -11140560*q**3 + 780*q**2 Find the third derivative of 827244*l**5 + 82*l**4 - 147165754*l**2. 49634640*l**2 + 1968*l What is the derivative of -1348*a**3 - a**2 + 700*a + 9622778? -4044*a**2 - 2*a + 700 Find the second derivative of 18*u**2*v**2 + 2*u**2*v + 116939*u**2 + 13*u*v**2 - 4*v**2 + 9281 wrt u. 36*v**2 + 4*v + 233878 What is the third derivative of 12117783*z**4 - 410*z**2 - 7004? 290826792*z What is the second derivative of 7592894*p**2 + p + 1833951? 15185788 Find the second derivative of -239946208*w**2*y**2 + w**2*y - 4*w*y - 5357*y + 39 wrt y. -479892416*w**2 Differentiate -380*h**2 - 18279*h - 545627. -760*h - 18279 Find the third derivative of -289*f*z**3 + 3*f*z**2 + 7972*f*z + 8087*z**3 - z**2 + 233*z wrt z. -1734*f + 48522 Find the first derivative of -2*k**2 + 6817985*k + 21590320 wrt k. -4*k + 6817985 What is the second derivative of -2*j**4 - 318040*j**3 - 6*j**2 + 633740684*j wrt j? -24*j**2 - 1908240*j - 12 Find the second derivative of -24875691*z**2 + 610566*z - 2 wrt z. -49751382 What is the third derivative of -27991111*w**4 - 14809697*w**2 - 2? -671786664*w Differentiate -11224*n*t**3 - 3*n*t**2 - 7*n*t + 3*n + 10813*t**3 + 349*t wrt n. -11224*t**3 - 3*t**2 - 7*t + 3 Differentiate 492*r**4*w**3 - 119671*r**2*w**3 - 226*w**3 + 510038*w**2 with respect to r. 1968*r**3*w**3 - 239342*r*w**3 Differentiate -52*l**2*t + 85*l**2 + 3*l*t**3 + 820*t**3 + 582*t with respect to l. -104*l*t + 170*l + 3*t**3 Find the first derivative of 30898225*n - 16785778 wrt n. 30898225 Find the first derivative of 16527299*c**3*g**2 - 106*g**2 + 13636*g wrt c. 49581897*c**2*g**2 What is the second derivative of 1362*f*t**4 - 82*f*t**2 + 4*f*t - 3*f + t**4 - 222*t + 105 wrt t? 16344*f*t**2 - 164*f + 12*t**2 What is the second derivative of -12903*j*m**3 + 2*j*m + 237*m**3 + 10007075*m wrt m? -77418*j*m + 1422*m Differentiate -6162*x**2 + 329*x - 3243379. -12324*x + 329 What is the third derivative of -24604092*n**3 + 35*n**2 + 163*n + 1688 wrt n? -147624552 What is the first derivative of -21*x**4 + 7*x**3 - 2439*x + 99467736 wrt x? -84*x**3 + 21*x**2 - 2439 Differentiate -l*n**3 - 2*l*n**2 + 30*l*n + 24662*l + 2*n**3 + 564*n**2 - 57*n + 260 with respect to l. -n**3 - 2*n**2 + 30*n + 24662 What is the first derivative of 2*d**2*z + 2*d**2 + 13224818*d*z - 437795181*z wrt d? 4*d*z + 4*d + 13224818*z Find the second derivative of -73*p**3*u**2 - 508018*p**3*u - 12934*p**2*u**2 - p*u + 2*p + 3*u**2 + 3*u wrt u. -146*p**3 - 25868*p**2 + 6 What is the derivative of -1021517721*x - 1120942681 wrt x? -1021517721 What is the second derivative of 251461859*s**2 + 182161871*s - 2? 502923718 What is the third derivative of -159988390*x**4 - 21332*x**2 + 3011*x wrt x? -3839721360*x What is the third derivative of -57898*r**6 - 230*r**3 + 97531*r**2 - 3*r wrt r? -6947760*r**3 - 1380 Find the second derivative of -43*z**3 - 120137*z**2 + z - 7325653. -258*z - 240274 What is the third derivative of -311228104*d**4 + 3*d**2 + 27643900? -7469474496*d Differentiate 1227*c*r**3 - 1263*c*r - c + 51*r**3 - 3*r**2 - 16060*r wrt c. 1227*r**3 - 1263*r - 1 What is the second derivative of 15*t*u**2 - 61*t*u*z - t*u - 5*t*z + 16*u**2*z - 36753*u**2 - 6*u*z + 146*u - 35*z wrt u? 30*t + 32*z - 73506 What is the second derivative of 2*f*g**3 - 2*f*g**2 - 3*f*g - 2*f + g**5 + 6149*g**2 + 55*g - 2129 wrt g? 12*f*g - 4*f + 20*g**3 + 12298 What is the second derivative of 5697269*z**5 + 50099209*z wrt z? 113945380*z**3 Find the second derivative of -14446*b**3*p - b**3 + b**2*p + 74*b**2 + 8343*b*p + b + 8*p wrt b. -86676*b*p - 6*b + 2*p + 148 Find the second derivative of 82626252*j**2*o + 10953541*j*o + j + 5 wrt j.
{ "pile_set_name": "DM Mathematics" }
5 Solve 0 = 20*h - 29*h + 36 for h. 4 Solve 0 = 34*h - 37*h for h. 0 Solve -36 = 21*t - 3*t for t. -2 Solve 5*o = -351 + 326 for o. -5 Solve 33*s - 22*s = 0 for s. 0 Solve 30*g = 41*g - 77 for g. 7 Solve -582*m + 573*m = 54 for m. -6 Solve 23 = -12*w + 59 for w. 3 Solve -12*g - 8 = -14*g for g. 4 Solve 48 = -43*i + 59*i for i. 3 Solve -2178*i = -2175*i for i. 0 Solve -66 = 19*z - 8*z for z. -6 Solve 62*q = 64*q for q. 0 Solve -87*y - 78 - 792 = 0 for y. -10 Solve 0 = 27*s + 50*s - 308 for s. 4 Solve 0 = -68*d + 20*d - 240 for d. -5 Solve -47*q + 4 = -45*q for q. 2 Solve 0 = -4*h + 7 - 23 for h. -4 Solve 4*x + 297 = 293 for x. -1 Solve 15*f - 4*f = 44 for f. 4 Solve 35*r = 26*r + 63 for r. 7 Solve 39*s - 16 = 23*s for s. 1 Solve 0 = 5*p - 46 + 56 for p. -2 Solve 21*q = -634 + 781 for q. 7 Solve 39*f = -15*f - 162 for f. -3 Solve -11 = 40*g - 171 for g. 4 Solve 10 = -4*d - d for d. -2 Solve -5*j = -0*j for j. 0 Solve 5*u = 4*u + 6*u for u. 0 Solve 97 = 16*c + 49 for c. 3 Solve -13*q - 6 - 59 = 0 for q. -5 Solve 29*f - 23*f = 6 for f. 1 Solve 6 = -6*s - 0 for s. -1 Solve 12*t - 82*t - 560 = 0 for t. -8 Solve 10*n + 9 = 7*n for n. -3 Solve 0 = -7*y - 1 + 1 for y. 0 Solve 36*y + 16 = 40*y for y. 4 Solve 27*p = 20*p - 21 for p. -3 Solve 21 = 324*l - 321*l for l. 7 Solve -36*s = -161 - 91 for s. 7 Solve -5 = 4*r - 25 for r. 5 Solve 0 = -32*p + 163 + 29 for p. 6 Solve 0 = -12*j + 23 + 13 for j. 3 Solve -12 - 12 = -8*b for b. 3 Solve 3*s + 38 = 41 for s. 1 Solve 23*v = 48*v - 125 for v. 5 Solve 16*y + 60 = 10*y for y. -10 Solve 9 - 1 = -2*q for q. -4 Solve -12*h + 360 = 384 for h. -2 Solve 4*x - 7*x - 21 = 0 for x. -7 Solve 65*c = 46*c + 171 for c. 9 Solve 14*w = 16*w + 10 for w. -5 Solve -63*g = -49*g - 42 for g. 3 Solve -9*w + 11 - 2 = 0 for w. 1 Solve 5*x - 10*x = 5 for x. -1 Solve 58 - 55 = -a for a. -3 Solve -3*q - 5 = 1 for q. -2 Solve 20 = -2*r - 3*r for r. -4 Solve 66*f - 651 = -27*f for f. 7 Solve 5*z - 85 = 22*z for z. -5 Solve -8*k = 20 + 28 for k. -6 Solve -26*f - 34*f - 300 = 0 for f. -5 Solve 22*p = -3 + 91 for p. 4 Solve 4*w - 8 = 8 for w. 4 Solve 3*l + l - 4 = 0 for l. 1 Solve -51 = -35*u - 191 for u. -4 Solve 34*f - 40*f = 24 for f. -4 Solve 14 = -m + 17 for m. 3 Solve 5*v + 20 = 10*v for v. 4 Solve 48*m = 24*m + 72 for m. 3 Solve 29*r + 90 = 148 for r. 2 Solve -9*i - 32 = -17*i for i. 4 Solve 3*s + 6 = 5*s for s. 3 Solve 9*n + 46 = 19 for n. -3 Solve -68 + 58 = -5*i for i. 2 Solve 13*y = -1626 + 1743 for y. 9 Solve 8*d = -d - 27 for d. -3 Solve 2*j - 2 = -12 for j. -5 Solve -1976*t + 1969*t = 42 for t. -6 Solve 10*u - 5*u + 20 = 0 for u. -4 Solve 5*p - 68 + 73 = 0 for p. -1 Solve 0 = 39*f - 35*f for f. 0 Solve -86*d - 64 = -78*d for d. -8 Solve 7*s = -538 + 489 for s. -7 Solve 8*s = 40 - 56 for s. -2 Solve -166*q + 5*q = -1771 for q. 11 Solve -56*z + 544 = 12*z for z. 8 Solve -3 + 7 = z for z. 4 Solve -23*d = -25*d + 4 for d. 2 Solve 2*z - 5 = -11 for z. -3 Solve -32*y + 30*y - 2 = 0 for y. -1 Solve 11*w - 186 = -98 for w. 8 Solve 0 = 7*y - 2 + 30 for y. -4 Solve -3*o = -0*o - 6 for o. 2 Solve 4*l = -8520 + 8500 for l. -5 Solve -5*x + 16 = -9 for x. 5 Solve 20*h + 31 = -9 for h. -2 Solve 18*t = 16*t + 4 for t. 2 Solve 2*i + 6 - 8 = 0 for i. 1 Solve 15*b = 19*b + 4 for b. -1 Solve 27*h + 50*h = 770 for h. 10 Solve -529*o = -541*o - 120 for o. -10 Solve 4*m - 138 + 126 = 0 for m. 3 Solve 10*d - 30 = 60 for d. 9 Solve -1394 + 1414 = -4*l for l. -5 Solve 20*d = 18*d - 2 for d. -1 Solve 12 = 14*i - 30 for i. 3 Solve -2*h + 272 - 270 = 0 for h. 1 Solve -87 + 31 = -8*h for h. 7 Solve -29*s - 10 = -24*s for s. -2 Solve 10 = 16*n - 6*n for n. 1 Solve -2499*p = -2510*p - 99 for p. -9 Solve -11*n = -n + 50 for n. -5 Solve 30*r + 5*r = -210 for r. -6 Solve 0 = 29*h - 10 - 19 for h. 1 Solve 0 = w - 16 + 19 for w. -3 Solve -31*b + 66 = -9*b for b. 3 Solve -14 - 51 = 13*y for y. -5 Solve -4*g + 7*g = 9*g for g. 0 Solve 6*k + 0*k + 6 = 0 for k. -1 Solve -125 = 5*u - 165 for u. 8 Solve 35*j - 13 = -48 for j. -1 Solve 10 = 5083*s - 5085*s for s. -5 Solve 20*q - 153 = 37*q for q. -9 Solve 0*c + 9*c = 45 for c. 5 Solve -180 = -3*i - 162 for i. 6 Solve -n - 4 + 3 = 0 for n. -1 Solve 9*y = 8*y + 4 for y. 4 Solve -63 = -102*z + 111*z for z. -7 Solve 4*b + 64 = -12*b for b. -4 Solve 54*a = 47*a + 28 for a. 4 Solve -739 + 712 = 3*q for q. -9 Solve 2 = -20*k - 18 for k. -1 Solve -51*x + 15 = -36*x for x. 1 Solve -x + 13*x = 0 for x. 0 Solve 0 = -5*t + 22 - 7 for t. 3 Solve -6*n = -2*n + 4 for n. -1 Solve -68 = -39*r + 49 for r. 3 Solve 2*k - 4 - 6 = 0 for k. 5 Solve 37*h - 48*h + 33 = 0 for h. 3 Solve 0 = 30*t - 32*t + 8 for t. 4 Solve 75 = -39*p + 24*p for p. -5 Solve 34*r - 63*r + 29 = 0 for r. 1 Solve -6*o + 12*o + 24 = 0 for o. -4 Solve -5*l = -11*l - 18 for l. -3 Solve 7*v - 9*v - 6 = 0 for v. -3 Solve 5*s = 12*s - 21 for s. 3 Solve 0 = 5*u - 121 + 131 for u. -2 Solve 123*k - 132*k = 63 for k. -7 Solve 0 = 71*c - 99*c + 140 for c. 5 Solve -53*d + 31 = -75 for d. 2 Solve 5*x - 30 = -10 for x. 4 Solve 0 = 56*q - 52*q - 4 for q. 1 Solve 0 = -33*q - 36*q + 69 for q. 1 Solve -99*l = -110*l - 99 for l. -9 Solve -6 + 2 = -4*t for t. 1 Solve -4*j + 25 = -9*j for j. -5 Solve 47*z = -32 - 15 for z. -1 Solve 6*t + 12*t - 36 = 0 for t. 2 Solve -11 = -8*w - 35 for w. -3 Solve 0 = -m - 2*m - 3*m for m. 0 Solve 13*p - 61 = 4 for p. 5 Solve 0 = 118*r - 114*r + 16 for r. -4 Solve 28*t - 31*t + 3 = 0 for t. 1 Solve -5*p = p - 6 for p. 1 Solve 21 - 9 = -3*s for s. -4 Solve 13*n - 58 + 19 = 0 for n. 3 Solve -24*t + 21*t = -15 for t. 5 Solve -9*t = -4*t + 10 for t. -2 Solve 125*p - 134*p + 9 = 0 for p. 1 Solve -9*v - 3 + 57 = 0 for v. 6 Solve -5*s + 4 = -21 for s. 5 Solve j + 231 - 227 = 0 for j. -4 Solve 17*c = 38*c - 42 for c. 2 Solve -70 = 76*h - 90*h for h. 5 Solve -19*v = -7*v for v. 0 Solve 23*r - 32 + 124 = 0 for r. -4 Solve -458 + 398 = -12*s for s. 5 Solve 25 = 17*f - 42*f for f. -1 Solve 4*w = -w - 25 for w. -5 Solve 110*p - 59*p - 204 = 0 for p. 4 Solve 0 = -25*d - 41 - 9 for d. -2 Solve -7*m = -17 + 52 for m. -5 Solve -18*y - 1 = -91 for y. 5 Solve 15 = -s - 2*s for s. -5 Solve -14*c + 5*c = -45 for c. 5 Solve 1533 = -10*a + 1613 for a. 8 Solve 0*j = -j - 4 for j. -4 Solve 0*r = 14*r + 28 for r. -2 Solve 0 = 9*v - 140 + 185 for v. -5 Solve o - 41 = -42 for o. -1 Solve -2*c - 79 = -83 for c. 2 Solve -4558*d = -4561*d + 27 for d. 9 Solve -4*j - 1 = 3 for j. -1 Solve u + 12 = 7*u for u. 2 Solve -9 + 7 = -2*m for m. 1 Solve 0 - 1 = -x for x. 1 Solve 0 = 12*i - 25*i - 13 for i. -1 Solve 0 = 10*j - 6 - 4 for j. 1 Solve 104*w - 4 = 102*w for w. 2 Solve 22*b + 28 + 16 = 0 for b. -2 Solve -511 - 249 = 95*a for a. -8 Solve 0 = -110*r + 95*r + 105 for r. 7 Solve 3*c - 7 - 5 = 0 for c. 4 Solve 11 + 4 = -3*j for j. -5 Solve 10*k - 27 = 3 for k. 3 Solve 3*d - 2009 = -1997 for d. 4 Solve 0 = -92*z + 100*z - 24 for z. 3 Solve 1688 = 10*v + 1618 for v. 7 Solve 354 = -82*a + 26 for a. -4 Solve 30 = 16*l - 22*l for l. -5 Solve 13*d - 18*d = -25 for d. 5 Solve -70*y = -50*y for y. 0 Solve -100*i + 136*i = -324 for i. -9 Solve 659 = 12*j + 539 for j. 10 Solve 499*a - 490*a - 45 = 0 for a. 5 Solve 23*d - 162 = 5*d for d. 9 Solve 237*b = 228*b - 81 for b. -9 Solve 0 = -14*j - 2*j + 48 for j. 3 Solve 17*b = 3*b - 87*b for b. 0 Solve -p - 14 = -8*p for p. 2 Solve 5*n = 20 + 10 for n. 6 Solve -59*y = -47*y for y. 0 Solve 258*w = 256*w + 8 for w. 4 Solve -1531*o - 20 = -1527*o for o. -5 Solve -69*w + 76*w = 14 for w. 2 Solve 27*r - 12*r + 135 = 0 for r. -9 Solve 5*q - 13 = -28 for q. -3 Solve 93*s = 90*s - 6 for s. -2 Solve -104*t + 6 = -107*t for t. -2 Solve -4*x + 221 - 233 = 0 for x. -3 Solve 0 = 101*d - 82*d - 114 for d. 6 Solve -120*g + 182 = -178 for g. 3 Solve -846*o + 39 = -833*o for o. 3 Solve 2*r - 13 = -5 for r. 4 Solve -16*o + 120 = 40 for o. 5 Solve 5*v + 3 = 23 for v. 4 Solve -2*q + 2 = 10 for q. -4 Solve -36*a + 20*a = 80 for a. -5 Solve -148*r - 84 = -169*r for r. 4 Solve -19*n = -23*n - 8 for n. -2 Solve -52*d = 2*d + 162 for d. -3 Solve -15*a + 36 = -3*a for a. 3 Solve 98*t - 86*t = 72 for t. 6 Solve -16*c = -7*c + 27 for c. -3 Solve -7 = 1382*f - 1389*f for f. 1 Solve 0 = 11*w - 7*w for w. 0 Solve 15*j = 6 - 66 for j. -4 Solve 0 = -2*h - 5*h - 7 for h. -1 Solve -4*d
{ "pile_set_name": "DM Mathematics" }
0, 2*c - i = -2*c + 10. Let j(n) be the first derivative of -6 + 6*n + 4*n - n**c - 7*n. Suppose j(l) = 0. Calculate l. -1, 1 Factor 10*n**4 + 25*n**3 - 19*n**3 - 35*n - 10 - 30*n**2 - n**3. 5*(n - 2)*(n + 1)**2*(2*n + 1) Factor 8/5*m**2 - 2/5*m**3 - 12/5 - 2/5*m. -2*(m - 3)*(m - 2)*(m + 1)/5 Let z(i) = -2*i**2 - 8*i - 5. Let h be z(-9). Let n be 24/(-42) + h/(-105). Factor 0 - 2/3*u**3 - 1/3*u**2 + n*u. -u*(u + 1)*(2*u - 1)/3 Let n = 49 + -44. Suppose 4*r - 2 = n*u - 5, -3*u = -3*r. Solve 8/5*s**r - 2/5*s**5 + 0*s**4 - 6/5*s - 4/5 + 4/5*s**2 = 0. -1, 1, 2 Let m be 10/(-34) + (32/14)/8. Let u = m - -5/17. Suppose u*r - 2/7*r**2 + 0 = 0. What is r? 0, 1 Let y = 4093/2 - 2043. Determine k so that y*k**3 - 2 - 8*k - 5/2*k**2 = 0. -1, -2/7, 2 Find a, given that -76/5*a - 72/5 + 39/5*a**3 + 10*a**2 - 1/5*a**5 - 16/5*a**4 = 0. -18, -1, 2 Let z(l) be the third derivative of l**8/168 + l**7/21 + l**6/12 - l**5/6 - l**4/2 - 53*l**2 - 1. Solve z(o) = 0 for o. -3, -2, -1, 0, 1 Let c = 286/3 + -94. Factor 2*n + 2/3*n**2 + c. 2*(n + 1)*(n + 2)/3 Let f be (-4)/(-18) + (-74)/9 + 0. Let y(v) = -v**2 - 12*v - 30. Let k be y(f). Find z such that z**4 - 1/5*z**5 + k*z**2 + 1/5 - z - 2*z**3 = 0. 1 Determine r so that 8*r + 92 - r**2 - 191 + 87 = 0. 2, 6 Let p(v) be the third derivative of -4*v**2 - 7/40*v**6 + v**4 + 0*v + 1/14*v**7 - 2*v**3 - 1/20*v**5 - 1/112*v**8 + 0. Suppose p(m) = 0. What is m? -1, 1, 2 Let o = -507 - -511. Let a(j) be the first derivative of 3/10*j**o + 26/15*j**3 + 8/5*j - 1 + 16/5*j**2. Determine s so that a(s) = 0. -2, -1/3 Suppose 0 = l - 5*l - 0*l. Let r(y) be the third derivative of -1/12*y**4 + 1/10*y**5 - 1/30*y**6 + 0*y**3 + 0*y + l - 8*y**2. Factor r(k). -2*k*(k - 1)*(2*k - 1) Let x(m) = -m**2 + 2*m + 2. Let y(i) = 5*i**3 - 20*i**2 + 10*i - 10. Let d(t) = 5*x(t) + y(t). Factor d(k). 5*k*(k - 4)*(k - 1) Factor -12*f**4 + 3*f**3 + 22*f**4 + 2*f**2 + 3*f**2 + f**2 - 13*f**4. -3*f**2*(f - 2)*(f + 1) Let q(j) be the second derivative of -j**6/180 - 47*j**5/40 - 2209*j**4/24 - 103823*j**3/36 + 193*j. Factor q(a). -a*(a + 47)**3/6 Let k(b) be the third derivative of b**8/24 - 31*b**7/420 + b**6/120 + b**5/120 + 30*b**2 - 2. Suppose k(x) = 0. Calculate x. -1/7, 0, 1/4, 1 Let u(w) be the second derivative of w**6/6 + w**5/2 - 5*w**4/4 - 10*w**3/3 + 10*w**2 + 186*w. Factor u(l). 5*(l - 1)**2*(l + 2)**2 Factor 92/3*t**2 - 192 - 160*t - 4/3*t**3. -4*(t - 12)**2*(t + 1)/3 Let r(p) = -7*p**4 - 4*p**3 + p**2 - 8*p. Let o be (-45)/10*(-4)/3. Let z(s) = s**4 - s**2 + s. Let t = 4 + -3. Let j(d) = o*z(d) + t*r(d). Factor j(a). -a*(a + 1)**2*(a + 2) Determine j, given that -29*j**2 + 6*j**3 + 68*j - 2*j**3 + 17*j**2 + 92*j**2 - 152 = 0. -19, -2, 1 What is z in 23*z**5 + 38*z**5 - 350*z**4 - 66*z**5 - 340*z**3 + 350*z**2 + 345*z = 0? -69, -1, 0, 1 Suppose -8 = -2*b, 2*d - 4*b + 18 = 3*d. Let u be 3 - 2*(-1)/d. Factor -4*h**u - 27*h - 6*h**3 + 29*h + 0*h**3. -2*h*(h + 1)**2*(2*h - 1) Suppose -26*i**2 + 0 - 76/3*i**3 + 0*i + 2/3*i**4 = 0. Calculate i. -1, 0, 39 Let t(w) = 166*w**2 + w - 1. Let b be t(1). Suppose -3*i + b = -77. Factor 210*x**2 + 121*x**3 + i*x**3 - 55*x**3 - 156*x + 24. 3*(x + 2)*(7*x - 2)**2 Determine z, given that -64 - 331*z**4 - 33*z**2 - 112*z + 16*z**3 + 330*z**4 - 2*z**3 = 0. -1, 8 Let p(y) = y**2 + 25*y + 7. Let z(w) = w**2 + 6*w + 7. Let c be z(-6). Let n(u) = u**2 + 13*u + 4. Let s(m) = c*n(m) - 4*p(m). Factor s(k). 3*k*(k - 3) Let a be 24*49/(-14)*(-3)/51. Determine s, given that 18/17 - a*s + 98/17*s**2 = 0. 3/7 Factor 208*g**3 + 235*g**3 + 85*g**2 + 900 + 480*g - 438*g**3. 5*(g + 5)*(g + 6)**2 Let 100 - 45*c**2 + 6051*c - 6*c**3 + c**3 - 5991*c = 0. Calculate c. -10, -1, 2 Find z, given that 1/2*z**3 - 196 - 36*z**4 - 7/2*z**5 + 493*z**2 - 546*z = 0. -7, -2/7, 2 Let u(j) be the first derivative of 3*j**4/4 - 38*j**3 + 111*j**2/2 + 51. Suppose u(s) = 0. Calculate s. 0, 1, 37 Let p(i) be the third derivative of -9*i**6/200 + 51*i**5/50 + 71*i**4/40 + 6*i**3/5 - 11*i**2. Factor p(j). -3*(j - 12)*(3*j + 1)**2/5 Let j(c) be the third derivative of c**8/10080 + c**7/420 - 2*c**5/5 + 14*c**2. Let a(p) be the third derivative of j(p). Suppose a(x) = 0. What is x? -6, 0 Suppose 4*j + 912 = -8*j. Let u be -1*9/3 + j/(-24). Suppose -1/6*a**5 + 1/6*a**3 + 0 + 1/6*a**4 + 0*a - u*a**2 = 0. What is a? -1, 0, 1 Let r(u) be the second derivative of -u**4/30 + 122*u**3/15 - 3721*u**2/5 - 95*u + 1. Factor r(l). -2*(l - 61)**2/5 Let o be 6/(-18) + 112/21. Let c(a) be the second derivative of a + 0*a**2 + 0 + 1/21*a**3 + 1/21*a**4 + 1/70*a**o. Factor c(q). 2*q*(q + 1)**2/7 Let g(v) be the third derivative of 0 + 4/105*v**7 + 0*v - 1/7*v**5 - 8*v**2 + 1/420*v**6 - 1/84*v**4 + 2/21*v**3. Determine r so that g(r) = 0. -1, -2/7, 1/4, 1 Let p = -70 - -70. Let t(j) be the third derivative of p - 1/12*j**4 + 0*j + 2/15*j**3 - 11/150*j**5 + 7/150*j**6 + 4*j**2. Solve t(o) = 0. -1/2, 2/7, 1 Let u(f) be the third derivative of 0 - 1/80*f**5 + 1/32*f**4 + 0*f + 22*f**2 - 1/160*f**6 + 1/8*f**3. Find t such that u(t) = 0. -1, 1 Factor -225 + 105/4*q + 13/2*q**2 + 1/4*q**3. (q - 4)*(q + 15)**2/4 Let b be 2/6 + (-116)/(-12). Let y = b - 8. Factor 2*x**3 - 4*x**y + 6*x**2 - 2*x + 0*x**3 - 2*x. 2*x*(x - 1)*(x + 2) Let v(k) be the first derivative of -k**4/10 + 4*k**3/5 - k**2 + 176. Find t such that v(t) = 0. 0, 1, 5 Suppose -2*l = -0*l - 20. Solve g**3 + l*g + 29*g**2 + 36*g**2 + 45*g**3 + 9*g**3 = 0 for g. -1, -2/11, 0 Let s(y) be the second derivative of -3*y**6/10 + 3*y**5/10 + 83*y**4/48 + 25*y**3/24 + y**2/4 - 173*y. Find n, given that s(n) = 0. -1, -1/6, 2 Let r = 1455/26 - 721/13. Suppose 0 + 3/2*w**2 + r*w**3 - 2*w = 0. What is w? -4, 0, 1 Let h be (10/(-20))/((-2)/8). Suppose -h*y - 6 = -4*y. Factor 7*i**5 - 8*i**5 - i + 0*i + 2*i**y. -i*(i - 1)**2*(i + 1)**2 Let l(r) be the first derivative of -9 + 4*r**2 - 4*r - 4/3*r**3. Determine s so that l(s) = 0. 1 Let s be 12/(-26) + 6954/2223. Solve -s + 0*v + 2*v**2 + 2/3*v**3 = 0. -2, 1 Let y = 1/381 - -125/762. Let l(d) be the first derivative of 1 + 2/3*d - 1/18*d**6 + 2/15*d**5 - y*d**2 + 1/6*d**4 - 4/9*d**3. Solve l(s) = 0. -1, 1, 2 Let s = -5809/2 - -2905. Let 0 - s*b**3 + 0*b + 1/2*b**2 = 0. Calculate b. 0, 1 Factor 34/11*o + 0 - 2/11*o**2. -2*o*(o - 17)/11 Let m(b) be the second derivative of -1/42*b**4 - 81/7*b**2 + 0 + 6/7*b**3 + 3*b. Factor m(i). -2*(i - 9)**2/7 Let u(o) be the first derivative of -3/5*o**3 - 4/5*o + 2*o**2 - 13. Factor u(t). -(t - 2)*(9*t - 2)/5 Let t(p) = -p**3 - 6*p**2 + 13*p - 20. Let u be t(-8). Suppose -7/6*y**2 + 1/2*y**u - 2/3*y**3 + 2/3 + 2/3*y = 0. Calculate y. -1, -2/3, 1, 2 Let k(m) = m**3 - 7*m**2 + 4*m - 22. Let w be k(7). Suppose 3*b = w*b - 9. Factor 0 + 1/5*p**2 - 2/5*p + 1/5*p**b. p*(p - 1)*(p + 2)/5 Let v(x) be the second derivative of x**6/40 + 9*x**5/80 - x**3/2 - 6*x + 2. Solve v(t) = 0 for t. -2, 0, 1 Let p(v) = 2*v**3 - 5*v**2 + 5*v - 4. Let c be p(2). Suppose 5*s + r = -r + 10, r = c*s - 4. Let 2/3*q - 1/6*q**s - 1/2 = 0. Calculate q. 1, 3 Let k(j) = -7*j**2 - 3*j - 2. Let c(s) = 17*s**2 + 7*s + 5. Let l(o) = 2*c(o) + 5*k(o). Factor l(q). -q*(q + 1) Determine n, given that -400/3 + 40/3*n - 1/3*n**2 = 0. 20 Suppose -4*t - 13 = -u + t, -7 = -5*u - 4*t. Suppose -4*l = -8, -4*l + 30 = u*h + 7. Let -1/3*w**4 + 0*w**2 + 1/6*w**h + 0 + 1/6*w**3 + 0*w = 0. What is w? 0, 1 Solve 0 - 3/8*s**3 - 3/8*s**2 + 3/8*s**4 + 3/8*s = 0 for s. -1, 0, 1 Suppose 7 = 2*a - l, -2 - 5 = -3*a + 5*l. Let v be a - (1 - -3) - 1/(-3). Determine n so that 2/3*n**2 + 0 - 1/3*n**3 - v*n = 0. 0, 1 Let j = -12 - -14. Suppose 20 = 2*v + j*v. Find i, given that -12*i - 13 + 9 - 4*i**3 + 0*i**2 + v*i**2 - 17*i**2 = 0. -1 Let h(m) = -165*m**3 - 178*m**2 + 317*m + 77. Let r(k) = -55*k**3 - 59*k**2 + 106*k + 26. Let u(v) = 6*h(v) - 17*r(v). Factor u(g). -5*(g - 1)*(g + 2)*(11*g + 2) Factor 25*c**2 - 21*c - 1 - 37*c**2 - 41*c**3 - 9 + 40*c**3. -(c + 1)**2*(c + 10) Suppose 0 = -797*r + 812*r. Factor 1/10 - 1/10*d**2 + r*d. -(d - 1)*(d + 1)/10 Solve 4/11 + 8/11*y**3 - 2/11*y**5 - 4/11*y**2 - 6/11*y + 0*y**4 = 0 for y. -2, -1, 1 Let c(k) = 29*k + 2697. Let i be c(-93). Solve 24/7*u - 4/7*u**3 - 4/7*u**2 + i = 0. -3, 0, 2 Let q be (-3 + 13)*(-1)/(-2). Suppose 0 = 442*p - 1898*p. Determine k, gi
{ "pile_set_name": "DM Mathematics" }
211. 199 What is the remainder when 85 is divided by 8? 5 What is the remainder when 342 is divided by 8? 6 What is the remainder when 393 is divided by 53? 22 Calculate the remainder when 359 is divided by 30. 29 What is the remainder when 628 is divided by 70? 68 What is the remainder when 709 is divided by 45? 34 Calculate the remainder when 1439 is divided by 15. 14 What is the remainder when 586 is divided by 104? 66 What is the remainder when 2863 is divided by 29? 21 What is the remainder when 6650 is divided by 21? 14 What is the remainder when 458 is divided by 46? 44 What is the remainder when 186 is divided by 98? 88 What is the remainder when 2049 is divided by 108? 105 Calculate the remainder when 401 is divided by 81. 77 Calculate the remainder when 1306 is divided by 38. 14 Calculate the remainder when 60 is divided by 3. 0 Calculate the remainder when 6805 is divided by 680. 5 Calculate the remainder when 866 is divided by 430. 6 Calculate the remainder when 5185 is divided by 7. 5 Calculate the remainder when 772 is divided by 97. 93 Calculate the remainder when 184 is divided by 59. 7 Calculate the remainder when 1156 is divided by 73. 61 Calculate the remainder when 636 is divided by 211. 3 Calculate the remainder when 405 is divided by 37. 35 What is the remainder when 172 is divided by 36? 28 Calculate the remainder when 23641 is divided by 46. 43 Calculate the remainder when 130 is divided by 22. 20 What is the remainder when 275 is divided by 139? 136 Calculate the remainder when 2098 is divided by 82. 48 Calculate the remainder when 532 is divided by 41. 40 What is the remainder when 9064 is divided by 1509? 10 What is the remainder when 79 is divided by 49? 30 What is the remainder when 362 is divided by 176? 10 Calculate the remainder when 1096 is divided by 73. 1 Calculate the remainder when 1943 is divided by 162. 161 What is the remainder when 987 is divided by 98? 7 What is the remainder when 398 is divided by 20? 18 What is the remainder when 4184 is divided by 93? 92 Calculate the remainder when 628 is divided by 30. 28 What is the remainder when 2488 is divided by 47? 44 Calculate the remainder when 1438 is divided by 38. 32 Calculate the remainder when 130 is divided by 114. 16 Calculate the remainder when 155 is divided by 51. 2 What is the remainder when 158 is divided by 18? 14 Calculate the remainder when 1705 is divided by 420. 25 What is the remainder when 7702 is divided by 3851? 0 Calculate the remainder when 200 is divided by 30. 20 What is the remainder when 83 is divided by 42? 41 Calculate the remainder when 4339 is divided by 140. 139 Calculate the remainder when 952 is divided by 9. 7 Calculate the remainder when 318 is divided by 73. 26 Calculate the remainder when 87 is divided by 23. 18 What is the remainder when 4484 is divided by 132? 128 Calculate the remainder when 592 is divided by 19. 3 Calculate the remainder when 106 is divided by 49. 8 Calculate the remainder when 74 is divided by 21. 11 Calculate the remainder when 2456 is divided by 39. 38 Calculate the remainder when 98 is divided by 26. 20 What is the remainder when 439 is divided by 28? 19 What is the remainder when 722 is divided by 29? 26 What is the remainder when 1029 is divided by 47? 42 Calculate the remainder when 1022 is divided by 57. 53 What is the remainder when 968 is divided by 5? 3 What is the remainder when 62 is divided by 31? 0 Calculate the remainder when 235 is divided by 68. 31 What is the remainder when 135 is divided by 13? 5 Calculate the remainder when 375 is divided by 42. 39 What is the remainder when 326 is divided by 82? 80 Calculate the remainder when 234 is divided by 14. 10 Calculate the remainder when 303 is divided by 102. 99 Calculate the remainder when 468 is divided by 115. 8 Calculate the remainder when 1248 is divided by 115. 98 What is the remainder when 1416 is divided by 177? 0 What is the remainder when 206 is divided by 26? 24 What is the remainder when 131 is divided by 67? 64 What is the remainder when 3941 is divided by 68? 65 What is the remainder when 2874 is divided by 1421? 32 Calculate the remainder when 573 is divided by 18. 15 Calculate the remainder when 428 is divided by 155. 118 Calculate the remainder when 1470 is divided by 183. 6 Calculate the remainder when 4505 is divided by 30. 5 What is the remainder when 194 is divided by 36? 14 Calculate the remainder when 38789 is divided by 52. 49 Calculate the remainder when 107 is divided by 56. 51 Calculate the remainder when 662 is divided by 652. 10 Calculate the remainder when 4748 is divided by 36. 32 What is the remainder when 172 is divided by 39? 16 Calculate the remainder when 697 is divided by 673. 24 What is the remainder when 4822 is divided by 25? 22 What is the remainder when 50 is divided by 23? 4 What is the remainder when 617 is divided by 145? 37 Calculate the remainder when 500 is divided by 3. 2 Calculate the remainder when 108 is divided by 18. 0 Calculate the remainder when 3277 is divided by 466. 15 What is the remainder when 98 is divided by 31? 5 What is the remainder when 79 is divided by 8? 7 Calculate the remainder when 153 is divided by 84. 69 What is the remainder when 72 is divided by 16? 8 Calculate the remainder when 124 is divided by 111. 13 What is the remainder when 2330 is divided by 15? 5 Calculate the remainder when 5692 is divided by 15. 7 Calculate the remainder when 296 is divided by 38. 30 Calculate the remainder when 6360 is divided by 91. 81 Calculate the remainder when 2131 is divided by 11. 8 What is the remainder when 799 is divided by 41? 20 What is the remainder when 622 is divided by 13? 11 What is the remainder when 24869 is divided by 323? 321 Calculate the remainder when 206 is divided by 70. 66 Calculate the remainder when 1299 is divided by 10. 9 What is the remainder when 17 is divided by 9? 8 What is the remainder when 1935 is divided by 11? 10 Calculate the remainder when 219 is divided by 57. 48 Calculate the remainder when 124 is divided by 36. 16 What is the remainder when 1300 is divided by 14? 12 What is the remainder when 12 is divided by 4? 0 What is the remainder when 111 is divided by 29? 24 Calculate the remainder when 966 is divided by 35. 21 Calculate the remainder when 67274 is divided by 195. 194 What is the remainder when 136 is divided by 36? 28 What is the remainder when 3347 is divided by 62? 61 What is the remainder when 190 is divided by 38? 0 Calculate the remainder when 83 is divided by 59. 24 Calculate the remainder when 16628 is divided by 66. 62 Calculate the remainder when 29366 is divided by 9786. 8 What is the remainder when 22 is divided by 2? 0 Calculate the remainder when 1257 is divided by 24. 9 What is the remainder when 7510 is divided by 23? 12 What is the remainder when 710 is divided by 93? 59 What is the remainder when 74 is divided by 13? 9 What is the remainder when 62 is divided by 16? 14 Calculate the remainder when 873 is divided by 59. 47 Calculate the remainder when 276 is divided by 38. 10 What is the remainder when 166 is divided by 52? 10 Calculate the remainder when 249 is divided by 242. 7 What is the remainder when 953 is divided by 467? 19 Calculate the remainder when 64 is divided by 15. 4 Calculate the remainder when 1947 is divided by 523. 378 Calculate the remainder when 803 is divided by 62. 59 What is the remainder when 4102 is divided by 114? 112 Calculate the remainder when 2524 is divided by 1233. 58 Calculate the remainder when 85 is divided by 12. 1 What is the remainder when 10518 is divided by 3503? 9 What is the remainder when 644 is divided by 9? 5 Calculate the remainder when 2421 is divided by 90. 81 Calculate the remainder when 31 is divided by 17. 14 Calculate the remainder when 20 is divided by 8. 4 Calculate the remainder when 163 is divided by 13. 7 Calculate the remainder when 35 is divided by 9. 8 What is the remainder when 66 is divided by 5? 1 Calculate the remainder when 496 is divided by 72. 64 What is the remainder when 372 is divided by 11? 9 What is the remainder when 63 is divided by 21? 0 What is the remainder when 2220 is divided by 118? 96 What is the remainder when 5339 is divid
{ "pile_set_name": "DM Mathematics" }
et s(d) = -d**3 + 10*d**2 + 10*d + 8. Let a be s(11). Calculate the remainder when 14 is divided by (a + -15)*(-4)/12. 2 Suppose -4*p + 122 = -10. Calculate the remainder when 294 is divided by p. 30 Let k = 703 + -639. Calculate the remainder when 197 is divided by k. 5 Suppose 6 = -5*l - l. Let w(i) = -56*i - 1. What is the remainder when w(l) is divided by 19? 17 Suppose -199*k + 3128 = -63*k. Let r(b) = 15*b + 1. What is the remainder when k is divided by r(1)? 7 What is the remainder when (70 + 0)*(-75)/(-125) is divided by 12? 6 Suppose -5*y = 5*p - 0*p - 35, -p + 2*y + 4 = 0. Calculate the remainder when 9 is divided by p. 3 Suppose 4*i - 3*v = -8*v + 68, -3*i - 3*v = -48. Calculate the remainder when 43 is divided by i. 7 Calculate the remainder when (-2)/8 - (-2 - 2184/32) is divided by 19. 13 Suppose x - 2*c = 811, -6*x + 10*x - 3218 = -5*c. What is the remainder when x is divided by 116? 111 Let h(c) = 9*c + 6. What is the remainder when h(15) is divided by 37? 30 Let s(m) = 3*m - 6. Suppose 10*y - 69 = 21. Calculate the remainder when 81 is divided by s(y). 18 Let n(a) be the first derivative of 0*a - 10*a + 3*a**2 + 1 - 5 + 0. What is the remainder when n(8) is divided by 13? 12 Suppose -4*q + 83 = 3*z - 29, 42 = 2*q + 5*z. What is the remainder when q is divided by 4*((-6)/(-3) + 0)? 7 What is the remainder when 32680/160 + 1/(-4) is divided by 16? 12 Calculate the remainder when (-4176)/20*(-10)/4 is divided by 174. 0 Suppose -r = -3*r + 10. Suppose r - 86 = -9*s. Suppose -i - 170 = -6*i. What is the remainder when i is divided by s? 7 Suppose 14*k = 25*k - 55. Calculate the remainder when 59 is divided by k. 4 Suppose 5*q - r = -60, -2*r + 22 = -q + 1. Let u = 16 + q. Suppose -2*w = o + 1, -18 = -2*o + u*w - 2. Calculate the remainder when o is divided by 3. 0 Let z be (3 - 7)/(((-2)/2)/5). Suppose 18*r - z*r + 10 = 0. What is the remainder when 17 is divided by r? 2 Suppose -5*a = -3*v + 28, v + a = 9 + 3. What is the remainder when 71 is divided by v? 5 Let w(p) = 5*p**2 - 3*p - 16. Calculate the remainder when 109 is divided by w(-3). 33 Suppose -2*f + 6*f = -4*q + 24, 4*q + 5*f = 27. Suppose 0 = t - 8*p + 12*p - 23, 4*t - 4*p - 92 = 0. What is the remainder when t is divided by q? 2 Let a(g) = 4*g**2 - g - 1. Let t be a(-1). Suppose -41 = -t*i + 31. What is the remainder when i is divided by 5? 3 Suppose -12 = -6*y + 18. Suppose r - 34 = -2*p, -y*r - 13 = -3. Calculate the remainder when 33 is divided by p. 15 Suppose 12*k = 32*k - 1180. What is the remainder when k is divided by 13? 7 Suppose 25*p - 175 = 20*p. What is the remainder when (-3)/15 - (-4137)/p is divided by 24? 22 Let p(w) be the first derivative of 15*w**2/2 - 7*w - 2. What is the remainder when 113 is divided by p(3)? 37 Let j = -42 - -66. What is the remainder when 21/2*j/36 is divided by 5? 2 What is the remainder when (18/4)/((-6)/(-332)) is divided by 28? 25 Suppose 4*t = -9 - 7. Let u be 2*(3 - (-2)/t). Suppose 0 = 2*k + u - 29. Calculate the remainder when 21 is divided by k. 9 Calculate the remainder when 164 is divided by 42 - ((-26)/(-8))/13*-8. 32 Suppose 4*n - 94 = -2*y, 0 = -5*n + 6*y - 11*y + 120. What is the remainder when 73 is divided by n? 4 Let v(n) = 6 + 7*n - 29 - 13. What is the remainder when 133 is divided by v(9)? 25 What is the remainder when ((-774)/10)/(-2 + 18/10) is divided by 39? 36 Let m(f) be the second derivative of 2/3*f**4 - 10*f - 7/2*f**2 - 1/2*f**3 + 0 + 1/20*f**5. Calculate the remainder when m(-8) is divided by 10. 7 Suppose 50*h - 63*h + 1313 = 0. Calculate the remainder when h is divided by 2. 1 Suppose 7*z = -3*z + 470. Suppose -4*b = -3*y - z - 113, -5*b + 199 = -4*y. What is the remainder when b is divided by 31/2 + 5/(-10)? 13 Let i(a) = -5*a + 391. Calculate the remainder when i(-28) is divided by 28. 27 Let x(s) = -18*s**2 + 2*s. Let f be x(1). Let m = -11 - f. Suppose -m*i = -10*i + 65. What is the remainder when i is divided by 3? 1 Let j be (12/(-10))/((-42)/(-1785)). Let l = 76 + j. What is the remainder when 46 is divided by l? 21 Suppose 4*t - 55 = 13. What is the remainder when 45 is divided by t? 11 Let j(s) = 2*s**3 - 2*s**2 + 5*s + 473. Calculate the remainder when j(0) is divided by 231. 11 Suppose 27 = 3*r - 51. Suppose -4*y = -2*l + r, -l - l + 34 = -2*y. Suppose 3*o + o = 32. Calculate the remainder when l is divided by o. 5 Calculate the remainder when (-1 - 0)/(5 + 104/(-20)) is divided by 4. 1 Let m = 388 - 311. Calculate the remainder when m is divided by 22. 11 Let m(q) = q + 8. Let u be m(-8). Suppose -4*k + 4*g - 2 - 2 = u, 9 = -k + 3*g. Let x = -4 + 10. What is the remainder when x is divided by k? 0 Let l = 5 + 17. Suppose -a - 17 + l = 0. What is the remainder when 14 is divided by a? 4 Suppose -h - 165 = -3*u + 38, 4*u - 3*h = 279. Let o = u + -51. Calculate the remainder when 25 is divided by o. 10 Let p(l) = 2*l**2 + 13*l + 10. Let y(i) = i**2 + 13*i + 10. Let r(f) = 2*p(f) - 3*y(f). What is the remainder when r(-3) is divided by 22? 16 Let f = 31 - 18. Suppose 5*b - 12 = f. Suppose 3*n + 3*g - g - 189 = 0, b*n + 2*g - 311 = 0. What is the remainder when n is divided by 21? 19 Let q(k) = 2*k - 9. Let g be q(15). Let r = g + -34. Let u(t) = -4*t - 9. Calculate the remainder when u(r) is divided by 22. 21 Suppose -14*g - 87 = -b - 10*g, 4*b + 3*g - 253 = 0. What is the remainder when b is divided by 35? 32 Let p(a) = 14*a - 5. Let f be p(5). Suppose 2*d - f = 83. Let j(r) = 5*r**2 - 5*r - 5. What is the remainder when d is divided by j(3)? 24 Let g be (-50)/(-8) - ((-65)/(-20) + -3). Let h(d) = 2*d**2 - 6*d + 1. What is the remainder when 107 is divided by h(g)? 33 Let n(d) = 7*d**2 + 13*d - 35. What is the remainder when n(4) is divided by 1/(-2 - 54/(-26))? 12 Let s be (-1 + -7)*46/8. Let j = 85 + s. Calculate the remainder when j is divided by 10. 9 What is the remainder when 6*(7/3 + -2)*1714 is divided by 98? 96 Suppose 0*w + 1 = w. Let c be (-5)/(-2) + w/(-2). Suppose -c*o + 117 = o. What is the remainder when o is divided by 10? 9 Let v(k) = k**3 + 154*k**2 - 140*k**2 + 1 + 15*k - 6. Calculate the remainder when v(-12) is divided by 21. 19 Suppose 2*y - 12 = -o, -5*o + y + 36 = 5*y. Calculate the remainder when (-10 - 0)/(38 - 40) is divided by o. 1 Suppose -225 = -3*w + 27. Suppose 0*n + w = 4*k - 4*n, 60 = 5*k + 4*n. What is the remainder when 44 is divided by k? 12 Let u(b) = -b**2 - 6*b - 3. Let g(f) = f**3 + 10*f**2 - 12*f + 1. Let x be g(-11). Calculate the remainder when 3*(22/x + (-7)/14) is divided by u(-5). 0 Suppose 5*u = 105 + 15. What is the remainder when u is divided by ((-44)/8)/(6/(-12))? 2 What is the remainder when 49 is divided by -2 - -4 - 5 - -13? 9 Let h(c) = c**2 - 18*c - 16. Let v be h(19). Let d be (-1)/v + (-448)/6. Calculate the remainder when 13 is divided by 14/77 - d/11. 6 Let u = 312 - 289. Calculate the remainder when 84 is divided by u. 15 Let b(q) = 9*q - 124. What is the remainder when 164 is divided by b(19)? 23 Let o = -164 - -296. Let j = o - 95. What is the remainder when j is divided by 19? 18 Suppose -6*h - 21*h = -1080. What is the remainder when h is divided by 15? 10 Let v(z) = -z**3 - 3*z**2 + 4*z + 3. Let h be v(-4). Suppose h*u = -x - 8, 3*x + 2*x - 60 = 5*u. What is the remainder when (-98)/(-4) + 4/8 is divided by x? 4 Let l be (-20)/15*(-73 + 1). Let p = -8 + l. What is the remainder when p is divided by 23? 19 Suppose -2*y = -72 - 182. Calculate the remainder when y is divided by 13. 10 Let j(q) = 2*q**3 - 3*q**2. Let l be j(2). Let g = 693 - 689. Suppose 4*k + l = 3*a - 7, -5*k = g*a - 56. Calculate the remainder when 26 is divided by a. 8 Let x(h) = -h**2 - 31*h - 131. Calculate the remainder when x(-22) is divided by 20. 7 What is the remainder when (-954)/24*8/(-3) is divided by 20? 6 Suppose 64 = -15*i + 214. Suppose -5*n = 3*t + i, -25 = -6*t + 3*t + 2*n. Calculate the remainder when 13 is divided by t. 3 Let u be (6 + -8)*1/(-2). Suppose 0 = -3*j + j. Suppose -f + 12 + u = j. What is the remainder when f is divided by 5? 3 Let b = -8 + 2. Let n = b + 13. Suppose 10*s - n*s = 45. What is the remainder when s is divided by 6? 3 Suppose -4*u - 4*g + 144 = -0*g, u + 4*g = 21. Calculate the remainder when 490 is divided
{ "pile_set_name": "DM Mathematics" }
base 6? -1532 f420 (base 16) to base 12 30200 What is -648 (base 14) in base 6? -5424 What is 1063 (base 8) in base 15? 278 What is 1240a (base 12) in base 15? 751d -3497 (base 16) to base 8 -32227 What is 22211112 (base 3) in base 8? 14450 -442 (base 10) to base 14 -238 Convert -1b4b7 (base 12) to base 11. -28441 Convert 41c (base 15) to base 8. 1637 3204 (base 11) to base 14 178b -10112102 (base 3) to base 4 -220100 What is -1001020022 (base 3) in base 10? -20582 -c5 (base 13) to base 6 -425 What is -1000101100 (base 2) in base 8? -1054 3452 (base 11) to base 3 20012221 Convert -5496 (base 16) to base 2. -101010010010110 What is -110010010100110 (base 2) in base 3? -1022100022 Convert 12388 (base 9) to base 7. 33215 1836 (base 9) to base 5 21120 Convert 39b (base 14) to base 13. 43a What is -13ccb (base 13) in base 7? -213612 What is 5201 (base 6) in base 13? 6a9 1908 (base 10) to base 7 5364 Convert 33b8 (base 14) to base 10. 8982 -270 (base 13) to base 5 -3204 Convert -215a4 (base 12) to base 15. -d0b4 -4041 (base 11) to base 6 -40505 4a6 (base 15) to base 16 420 Convert -11301213 (base 4) to base 9. -35403 -343e (base 15) to base 16 -2b4c -24 (base 7) to base 3 -200 -c8 (base 15) to base 14 -d6 13234 (base 12) to base 13 bc41 Convert 15314 (base 7) to base 12. 2582 430404 (base 5) to base 6 151011 What is -4330 (base 7) in base 16? -604 Convert 3639 (base 16) to base 11. a47a 31343 (base 6) to base 4 1002033 What is 43977 (base 10) in base 12? 21549 Convert -1667 (base 8) to base 13. -582 -2716 (base 12) to base 11 -3405 What is 22010 (base 6) in base 8? 5726 What is -8a0 (base 14) in base 2? -11010101100 What is 1355 (base 7) in base 16? 212 What is -11002 (base 4) in base 13? -1ba Convert 10500 (base 8) to base 11. 3355 What is -125 (base 9) in base 14? -76 What is -343 (base 8) in base 7? -443 -1120233 (base 5) to base 2 -100111001100100 7b2b (base 13) to base 3 212200211 What is -1111011010111001 (base 2) in base 10? -63161 Convert -100110101 (base 2) to base 14. -181 Convert -21346 (base 9) to base 7. -56133 -2aa (base 14) to base 6 -2302 Convert 22021020 (base 3) to base 4. 1132023 1120523 (base 6) to base 8 157603 What is 91a (base 13) in base 2? 11000001000 110223 (base 5) to base 11 2957 Convert -3013333 (base 4) to base 15. -3bd4 -592 (base 10) to base 12 -414 What is -231 (base 15) in base 11? -411 Convert -12a9 (base 11) to base 2. -11010011100 Convert -42645 (base 7) to base 11. -7a82 What is -3186 (base 9) in base 6? -14510 -2373 (base 16) to base 3 -110110010 Convert 5622 (base 8) to base 15. d27 -1011001110 (base 2) to base 7 -2044 What is 2455 (base 8) in base 13? 7ac -6135 (base 12) to base 14 -3bbb Convert -448 (base 11) to base 12. -388 What is -110100010111101 (base 2) in base 15? -7e28 3969 (base 14) to base 13 4791 -110111101000 (base 2) to base 14 -1424 Convert 1153 (base 7) to base 15. 1da -232 (base 13) to base 11 -315 What is -6232 (base 9) in base 3? -20021002 What is 11010011010001 (base 2) in base 10? 13521 Convert -102336 (base 8) to base 3. -1201122210 What is -10100000110001 (base 2) in base 11? -7804 What is -666 (base 15) in base 3? -1222120 -2a88 (base 14) to base 16 -1d90 -1ccc (base 13) to base 7 -15544 Convert 166 (base 15) to base 4. 11001 What is 82b (base 13) in base 14? 713 What is 27730 (base 8) in base 5? 342443 -13233 (base 4) to base 11 -410 -22130 (base 4) to base 10 -668 1122 (base 6) to base 4 10022 -2b91 (base 12) to base 7 -21004 -15a26 (base 14) to base 16 -d372 Convert 159a0 (base 12) to base 4. 13201020 What is -2535 (base 7) in base 11? -7a0 Convert 30 (base 6) to base 16. 12 -17f (base 16) to base 2 -101111111 -20221202 (base 3) to base 11 -3899 What is -110000000010110 (base 2) in base 3? -1020202001 What is a068 (base 14) in base 2? 110101110001100 What is -22112 (base 3) in base 14? -126 What is -39a4 (base 14) in base 13? -4800 110111110 (base 2) to base 13 284 31b1 (base 14) to base 4 2012013 What is -1450 (base 6) in base 12? -286 5597 (base 14) to base 11 10165 What is 33112 (base 4) in base 13? 5a7 Convert 22042 (base 7) to base 8. 12616 5cd (base 16) to base 9 2030 133 (base 14) to base 10 241 -462 (base 10) to base 3 -122010 Convert 11010101111 (base 2) to base 13. a18 -7268 (base 9) to base 4 -1103033 -61758 (base 9) to base 16 -9f0b What is 2102020 (base 3) in base 7? 5064 22013 (base 4) to base 12 45b -2885 (base 14) to base 6 -53113 What is -110010001101 (base 2) in base 8? -6215 Convert -346 (base 13) to base 12. -3b1 Convert -157 (base 11) to base 3. -20210 What is 110110101 (base 2) in base 16? 1b5 -162 (base 14) to base 8 -432 Convert -34164 (base 10) to base 12. -17930 Convert -1a61a (base 12) to base 16. -97f6 Convert -22b6 (base 14) to base 16. -1798 -41a (base 14) to base 16 -328 -223103 (base 7) to base 10 -39497 What is 62277 (base 8) in base 4? 12102333 1100111001 (base 2) to base 10 825 -1014103 (base 5) to base 10 -16778 Convert 1013041 (base 5) to base 9. 24745 Convert -18104 (base 9) to base 13. -58ab Convert 1002211 (base 3) to base 11. 672 29b3 (base 13) to base 6 44021 Convert 633 (base 9) to base 3. 201010 -4706 (base 9) to base 2 -110110100001 1264 (base 9) to base 2 1110110101 20212 (base 6) to base 14 d8c What is -101425 (base 6) in base 12? -4875 -17420 (base 9) to base 4 -2323212 What is -2701 (base 9) in base 8? -3752 What is 6404 (base 7) in base 3? 10002122 What is -160 (base 12) in base 3? -22000 What is -323540 (base 6) in base 11? -19129 What is -20030 (base 7) in base 3? -20121122 What is -aad (base 14) in base 10? -2113 What is -1523 (base 8) in base 5? -11401 Convert 54772 (base 10) to base 16. d5f4 Convert 2123132 (base 4) to base 16. 26de What is 154 (base 14) in base 9? 330 -24254 (base 6) to base 2 -110111101010 Convert 91a8 (base 15) to base 9. 46165 Convert -164 (base 9) to base 4. -2023 Convert 1000211 (base 3) to base 14. 3b9 What is 45323 (base 6) in base 15? 1d5c Convert 10020122 (base 3) to base 7. 6620 Convert -707 (base 12) to base 2. -1111110111 Convert -d3a (base 16) to base 10. -3386 Convert -127 (base 8) to base 6. -223 -14c7 (base 14) to base 16 -e77 Convert -1331 (base 11) to base 9. -2330 Convert 21512 (base 6) to base 16. bb4 What is 112212 (base 3) in base 4? 12101 -11044 (base 6) to base 8 -3004 641 (base 7) to base 15 168 What is 12112120 (base 3) in base 6? 30410 What is -3b5 (base 14) in base 13? -456 What is 82 (base 12) in base 5? 343 -5625 (base 13) to base 15 -3870 What is -3013333 (base 4) in base 14? -4943 What is -a341 (base 15) in base 8? -103266 What is -13400 (base 6) in base 3? -2212100 Convert 3333 (base 6) to base 10. 777 What is -1020020 (base 3) in base 15? -3ec Convert 1442 (base 6) to base 7. 1061 What is 291 (base 10) in base 6? 1203 122002222 (base 3) to base 15 3a68 Convert -1221101 (base 3) to base 14. -730 Convert 220212122 (base 3) to base 10. 18134 -2022110 (base 3) to base 4 -122112 Convert -c540 (base 13) to base 7. -142323 222 (base 12) to base 4 10322 Convert -1560 (base 11) to base 7. -5560 21221220 (base 3) to base 2 1011010101010 Convert -2101221 (base 3) to base 2. -11011011001 -111110000101101 (base 2) to base 3 -1121121101 What is 14267 (base 9) in base 14? 376c 114341 (base 7) to base 11 1465a Convert -1010110 (base 3) to base 9. -1113 Convert -1002231 (base 4) to base 11. -3231 474 (base 12) to base 5 10124 3232010 (base 4) to base 3 202220022 Convert -12080 (base 9) to base 5. -224331 147 (base 15) to base 8 444 What is a76 (base 15) in base 3? 10020110 Convert 13a (base 14) to base 4. 3320 Convert -100110011111001 (base 2) to base 4. -10303321 -204a (base 12) to base 6 -24134 Convert -70c (base 14) to base 9. -1807 What is -1121120 (base 3) in base 7? -3300 Convert -45a0 (base 15) to base 10. -14775 What is -94 (base 12) in base 14? -80 What is 16a6 (base 13) in base 7? 12521 What is -c54 (base 14) in base 16? -97a b50 (base 13) to base 16 784 1a5 (base 14) to base 9 418 Convert 43b4 (base 16) to base 2. 100001110110100 231 (base 4) to base 7 63 Convert 102112221 (base 3) to base 10. 8422 What is -8163 (base 11) in base 15? -3328 Convert 5808 (base 11) to base 10. 7631 Convert -1126 (base 8) to base 9. -734 Convert 1a92 (base 12) to base 14. 12a2 2211100211 (base 3) t
{ "pile_set_name": "DM Mathematics" }
m be ((-28)/6)/((-1)/6). Solve -v - 4*k + 11 = -3, 4*v + m = 5*k for v. -2 Suppose -4*o = 2 + 34. Let j = o + 14. Suppose -t + 3*t - 8 = -2*f, 0 = -3*f - j*t + 12. Solve -5*n = 3*c - 29 - 11, c - f*n = -15 for c. 5 Let w be (0 + 1)*(21 - 17). Let y be ((-2)/w)/(1/4). Let i(l) = -3*l - 2. Let n be i(y). Solve 21 = -n*a - 6*c + c, 3*a - 8 = c for a. 1 Suppose 54*r + 40 = 74*r. Solve -r*k + 3*f - 12 = -f, -3*k - 5*f = -15 for k. 0 Suppose 4*v = -4*b + 6*v, v = -3*b. Suppose -2*l - 4*q + 4 = b, -18 = l - 5*l + 2*q. Solve -4*g + 0*k + 12 = l*k, -5*g + k + 15 = 0 for g. 3 Let p = -1909 + 1914. Solve -p*a + 20 = -o, -5*a - 6 + 26 = 3*o for a. 4 Let x(h) = h + 35. Let o(q) = q + 70. Let p(g) = 3*o(g) - 5*x(g). Let d be p(16). Solve -5*b = -d*c + 29, 3*c - 25 = 5*b - b for b. -4 Suppose -8*p + 7*p + 11 = 0. Let q(v) = 3*v - 31. Let a be q(p). Let u be (0 - 2)/(3/(-6)). Solve a*j = 3*k - 2, -2*k - 4 = -u*j - 0*k for j. 2 Suppose -5*m + 34 = -16. Let z(x) = 4*x - 36. Let i be z(m). Solve 3*q + 0*q = -12, -i*y - 4*q = 16 for y. 0 Suppose -8*s = -4*s - t - 14, -17 = -3*s + 4*t. Suppose 5*n - 7 = 5*m - m, -5*m = s*n - 19. Solve n*i + 20 + 1 = 3*v, v - 9 = 2*i for i. -2 Let g be -1*(2/(-1) - 2). Suppose w = 2*w + g, -w - 4 = -3*u. Solve 0*p + 2*p - 1 = -3*q, -2*q - 5*p - 3 = u for q. 1 Let g(h) be the second derivative of h**3/3 - 3*h**2 + 4*h. Let o be g(4). Solve 5*k - 2*x = -10, -2*k - o*x - 16 = 2 for k. -4 Suppose 55 = -0*k + 5*k. Let x(f) = 2*f + 14. Let m be x(1). Solve -5*b = 2*g - m, 5*b - k - 7 = -g for b. 4 Suppose 0 = 3*r - 5 + 2. Let w be r*(0 + 1) - 4. Let a be (-15)/10*(w - -1). Solve -4*n - a*d + 1 = n, 0 = 2*n - 5*d + 12 for n. -1 Let x(g) = g**2 - g - 2. Let y = 24 - 14. Suppose -4*c + y = 4*p + p, 8 = 4*p + 3*c. Let n be x(p). Solve 4*t + 2*d + 21 = -9, n = -3*t - 3*d - 30 for t. -5 Let r(p) = -p**2 - 6*p - 3. Let s be r(-5). Suppose 0 = s*g - 2*m, -g + 4*g - 14 = -4*m. Suppose -26 = -10*j + 34. Solve d - 10 = j*d - t, -4 = 2*d - g*t for d. -2 Let j(o) = o**3 - 8*o**2 + 7*o + 6. Let c be j(7). Let u = 49 - 46. Let x = 55 - 55. Solve -c = u*m, 4*l = -m - x + 2 for l. 1 Suppose 3*l + 24 = -9. Let y be -5 - (-1 - (1 - l)). Solve 3*i - 3*n - 12 = 0, 2*i - 24 = 4*n - y for i. 0 Let x(b) = 4*b - 12. Let t be x(4). Suppose 5*i - 6 - 19 = t*d, -2*i - 4*d + 10 = 0. Suppose -8 = -4*l + 8. Solve 5*v + 26 = -l*w, i*v - 4*v + 10 = -2*w for v. -2 Let u be 32 + -4 + 20/(-5). Solve 0*g = 5*m + g + 16, 0 = 2*m - 4*g + u for m. -4 Let v = 619 - 612. Solve 3*c - 9 = t, -2*c + v - 1 = 3*t for t. 0 Suppose -114*c = -102*c - 36. Solve l - 7 = 5*v, c*l - 4 = 5*v - 3 for l. -3 Suppose r + 22 = -5*v - 0, 3*v + r = -12. Let n = v + 5. Let d be n + -4 - (-18 + 11). Solve t - 12 = d*b - 4, 4*b + 6 = -t for t. 2 Let d(q) = -5*q - 296. Let v be d(-60). Solve -v*n + 2 = -2*a, -19*n + 14*n + a = 2 for n. -1 Let t(s) = -s + 1. Let a(l) = l**2 - 13*l - 11. Let h(c) = -a(c) + 4*t(c). Let v be h(10). Solve -4*z = 3*k - v*k + 10, -k + 5*z + 17 = 0 for k. -3 Let a = -197 - -200. Solve x = -2*i - 3*x + 6, 2*i - 5 = -a*x for i. 1 Let x(i) = 3*i + 3. Let z be x(-5). Let t be (-1 - 20)/(18/z). Let f = 16 - t. Solve -2 = -4*c - d, -f*c - 4 = -0*c + 3*d for c. 1 Let v(k) = -k**2 + 4*k + 7. Suppose -2*d - 3*x = d - 18, 3*d + 4*x - 19 = 0. Let n be v(d). Solve -2*o + u + 4*u = -35, 25 = 3*o - n*u for o. 5 Let d(u) = -25*u - 152. Let a be d(-7). Suppose -10 = -5*o + 2*p - 5*p, 4*p = -o + 2. Solve 3*n = -5*y - 37, -2*n - y - a = o*y for n. -4 Let x(u) = -26*u**2 + 2. Let y be x(-2). Let q = 102 + y. Solve q = 5*s + 3*i + 9, -i + 3*i = -s - 6 for s. 0 Let h = 210 + -203. Solve 4*o - 3 = 2*s + h, -2*o + 2 = 0 for s. -3 Let g = 29 + -11. Suppose -4*j + 35 + 7 = -2*x, -3*j + 51 = 5*x. Suppose j = -z + 17. Solve 2*i - 5*i - q = -2, -z*i + g = -2*q for i. 2 Let s(g) = 8*g + 1. Let z(w) = -w. Let l(n) = -s(n) - 6*z(n). Let y be l(-2). Suppose 0 = y*d + 2*d - 155. Solve -x + 13 = -i - 3*x, 2*i = -5*x - d for i. -3 Let a be ((-2)/6)/((-3)/36 + 0). Solve 3*w = -4*j - 16, j + 5 = -a*j for w. -4 Let z = 188 + -178. Solve g - 4*g + 2*o + z = 0, -5*g + o = -5 for g. 0 Let a be 10*39/(-12)*64/(-160). Solve a = -n - 5*z + z, 4*n + 5*z = -19 for n. -1 Let m = 20 - 20. Suppose f + m = 5*u - 10, f + 2*u + 31 = 0. Let w = -20 - f. Solve 5*x + 5*r + 0*r - 10 = 0, r - 8 = w*x for x. -1 Suppose -5*p - 20 = -20. Let n be ((-10)/(-4))/(2/4). Suppose 3*r + 2*r - n*i = p, -5*r - 3*i = 0. Solve -s + 4 = -h - 0, -3*s + h + 4 = r for s. 0 Let i(q) = 10*q**2 - 14*q**2 - 41 + 5*q**2 + 12*q. Let m be i(-15). Solve 5 - 20 = -3*a - 3*h, 5*h = -m*a + 25 for a. 0 Suppose -3*q - i = -2, 1 = -2*q + 3*i + 17. Let j be (-6)/6 - (-27 + (0 - -3)). Suppose -j*k - 3 = -24*k. Solve 3*b + 3 = 4*l, q*l - k = 4*b - b for b. -1 Let y be (-18)/(-63) - (1 + 132/(-28)). Solve 2*t + 17 = -5*s, -3*t = -t + y*s + 14 for t. -1 Let x(r) = -r**2 + 33*r - 211. Let u be x(24). Solve 5*j - 28 = -p, p = -3*p - u*j + 37 for p. 3 Let l be (-7)/28 + (-121)/(-4). Suppose 0 = -8*r + 13*r - l. Suppose 10 = r*c - 20. Solve 8*d - 12 = 3*d - k, c*d - k = 8 for d. 2 Suppose 0 = -3*t - 2*t. Suppose t - 6 = -l. Let a be 13/l - (-9)/(-54). Solve -18 = -a*v + 2*f, -v + 5*v = -4*f + 4 for v. 5 Suppose 0 = 4*a - 2 - 2. Suppose a = -4*l - 7. Let r = 7 + l. Solve s + 12 = 2*t, -r*s + 1 = 5*t - 14 for s. -2 Suppose 20 - 65 = 5*d. Let j be (2*d/6)/(-1). Solve u - 8 = -j*v, 4*v - 6 = -2*u + 2 for u. -4 Suppose -o + 4*o = -4*f + 29, f + 3*o = 5. Let b = -4 + f. Solve 3*j + 0*m + 2 = b*m, 5 = -5*m for j. -2 Let z = -376 + 393. Solve 4*r + 20 = 0, 0*r - z = 3*c + r for c. -4 Let i be (3 + 4/(-2))*1. Let y be (4/(-10))/(1/(-5)). Suppose y*x - i = 9. Solve -2*g - 28 = -x*f, g + f = -0*f for g. -4 Let s = -318 + 342. Solve -5*m = u - 5*u - s, 3*m = u + 13 for u. -1 Let h(m) = 9*m + 425. Let q be h(-45). Solve 4*b + q = 0, -3*b = -4*f + 2*f + 11 for f. -2 Let d = -33 - -35. Solve 2*c - 16 = -d*c, -2*i + 3*c = 20 for i. -4 Suppose 2*l = -3*i - 2, l - i = 11 - 2. Suppose -2*h - 29 + l = 0. Let n be 4*4/h*-6. Solve -16 = -4*m - v, m - 3 - n = -2*v for m. 3 Let w(b) = -2*b - 59. Let y be w(-30). Solve -3*v - 6 = -4*o + y, o + 4 = -5*v for o. 1 Let g(j) = j**2 - j + 30. Let s(x) = -x**2 + x. Let b(k) = -g(k) - 2*s(k). Let z be b(7). Solve 0 = -3*o - 2*w + 1, 2*o + 4 - z = -5*w for o. -1 Suppose 61 + 1089 = 46*r. Let y = 46 + -31. Solve 3*l = -y, -5*l - r = z + 2*z for z. 0 Let v(q) = -72 + q**3 - 5*q**2 + 74 + 19*q**2. Let f(w) = -w**2 + 5*w - 8. Let r be f(6). Let u be v(r). Solve -4*o = -3*t - 23, -t - t = -u*o + 14 for t. -5 Let n be (2 - 6/8)*4. Suppose 3*z + 2 = n. Suppose m - 2 = -z. Solve -4*v + m = -3*h, -2*v + 3*h = -4 + 5 for v. 1 Let o be (6/(-2))/(-1) + 2. Suppose 3*h = -o*s + 26, 0*s = -2*h - 2*s + 12. Solve 4*u = h*l + 30, 7*l = 4*l - 15 for u. 5 Let w(z) = 3*z + 4. Let m(l) = 0 - 3 + 8 + 4*l. Let f(g) = -4*m(g) + 6*w(g). Let k be f(-1). Solve -4*c + 2*h = 24, k*c = c - 2*h - 1 for c. -5 Suppose -9 = -3*u - 0. Suppose -5*o + h = -7 - u, -2 = -o + h. Solve -y - 7*t + 4*t = 8, -o*t = 3*y + 10 for y. -2 Suppose -20 = 144*n - 145*n. Solve -o - 21 + 1 = 4*c, -4*c + 5*o = n for c. -5 Let m be ((-2)/(-3))/1*3. Let q = 208 - 203. Suppose -a = -5*f + 11 + 14, -f + 31 = q*a. Solve 0*g - f = -2*g + x, -3*x - 14 = -m*g for g. 1 Suppose -4*p - 18 + 38 = 4*z, 4*p - z = 0. Solve 5*l - 7*l + p = a, 0 = -4*l for a. 1 Let u = -5 + 10. Suppose u*l = 13 + 2. Suppose g + 4*f - 31 = 0, -3*g + 10*f - 13*f + 57 = 0. Solve p - 9 = -2*y + l*y, -5*p + g = y for y. -5 Suppose -5*x + 2 + 23 = 0. Solve 2*v - 3*j - 16 = -x*j, 12 = 3*j for v. 4 Suppose -r - 3*n - 10 = 0, -2*r - 4*n = -3*r + 18. Solve -2*d + r*w + 20 = -3*w, -4*d + 18 = w for d. 5 Let g(d) = -d**3 - 7*d**2 - 1. Let n be 1/(2 - (-15)/(-7)). Let z be g(n). Let p be (-8)/z*(-4)/(-8). Solve 0*u - o + 5 = -u, -20 = -5*u - p*o for u. 0 Suppose 0 = -7*b - 2*b + 18. Solve b*x - 8 = -4*m - 0, -3*x = -m - 5 for x. 2 Let m = 32 - 30. Suppose -4*g + 10 = m. Solve 0 = -5*h + 2*q + 29, -q = 2*h - g*q - 12 for h. 5 Let m be 1760/280 + (-4)/14. Solve -4*h = 4*k - 12, -4*k - 2*h + 12 = -m*h for k. 3 Suppose -9*k - 65 = 7. Let n(h) = h**3 + 8*h**2 - 4*h - 11. Let m be n(k). Solve -4*p + 6 = -p - q, -3*p - 4*q = -m for p. 3 Suppose 5*o - 7 - 8 =
{ "pile_set_name": "DM Mathematics" }
-2*p = 234 - 248 for p. 7 Solve -148 = -23*l + 13 for l. 7 Solve 34*q + 21 = -47 for q. -2 Solve 5 = -3*f + 14 for f. 3 Solve -k - 11 = -16 for k. 5 Solve 30*q = -27*q + 228 for q. 4 Solve 5*d + 3 = 8 for d. 1 Solve 14*j - 53 = -11 for j. 3 Solve -10*d = 666 - 616 for d. -5 Solve -5*v + 628 = 648 for v. -4 Solve 45*w = 191 - 11 for w. 4 Solve 0 = -8*o + 9 - 41 for o. -4 Solve 44 = 21*c + 107 for c. -3 Solve -25*x = -67*x + 168 for x. 4 Solve -14*r - 16 = -18*r for r. 4 Solve 77 = 8*f + 29 for f. 6 Solve -16*h + 9 = -7*h for h. 1 Solve -304*f = -295*f + 36 for f. -4 Solve 168 = 35*r + 7*r for r. 4 Solve 9 = 7*a - 19 for a. 4 Solve -g = 2*g - 15 for g. 5 Solve 4*q - q = -15 for q. -5 Solve -165*t = -170*t + 20 for t. 4 Solve 9*b = -102 + 84 for b. -2 Solve 38*l - 214 + 24 = 0 for l. 5 Solve 8*m - m = 21 for m. 3 Solve 0 = -3*f + 4*f + 3 for f. -3 Solve -140 = 40*c - 5*c for c. -4 Solve 0*k = -18*k for k. 0 Solve 2 = 3*t + 17 for t. -5 Solve 0 = -8*q - 37 + 13 for q. -3 Solve 0 = 2*a - 10 for a. 5 Solve -283*p = -287*p + 4 for p. 1 Solve -16*i + 46*i - 150 = 0 for i. 5 Solve 1 = -4*k + 17 for k. 4 Solve 16*s - 10*s + 24 = 0 for s. -4 Solve 0 = 13*m + 7*m + 60 for m. -3 Solve -129*w + 139*w = -30 for w. -3 Solve 0*p = -p - 7 for p. -7 Solve 0 = 877*w - 876*w - 5 for w. 5 Solve -7*g + g + 6 = 0 for g. 1 Solve 0 = 21*d - 24*d - 3 for d. -1 Solve 6*g + 7*g - 5*g = 0 for g. 0 Solve 2*n + 2*n = 4 for n. 1 Solve -12*d - 25 = 11 for d. -3 Solve 0 = -35*w + 30*w + 20 for w. 4 Solve 10*g + 6*g = -48 for g. -3 Solve 406 = -5*t + 401 for t. -1 Solve 14 + 122 = -34*u for u. -4 Solve 1034*m = 1049*m for m. 0 Solve 3 = -22*v + 23*v for v. 3 Solve -14 = -9*h - 32 for h. -2 Solve -14*h = -85 + 29 for h. 4 Solve -25 = -18*b + 47 for b. 4 Solve 25 = -2*x - 3*x for x. -5 Solve 8*l - 67 = -75 for l. -1 Solve -18*w + 17*w + 6 = 0 for w. 6 Solve q + 6 = 2 for q. -4 Solve -6*w + 4 = -26 for w. 5 Solve -281*w = -275*w for w. 0 Solve 7 = 6*b - 5 for b. 2 Solve 14*q - 154 + 28 = 0 for q. 9 Solve -r = 32*r - 231 for r. 7 Solve 3*g - 18 = -18 for g. 0 Solve -41*l + 77*l - 34*l = 0 for l. 0 Solve -22*d + 1 = 1 for d. 0 Solve -f - f - 10*f = 0 for f. 0 Solve 0 = 8*k - 3 + 27 for k. -3 Solve -6 = 52*x - 50*x for x. -3 Solve 11*p - 198 = -22*p for p. 6 Solve -5*o + 8 = -12 for o. 4 Solve -9*h = 162 - 171 for h. 1 Solve -3157 + 3164 = v for v. 7 Solve -24*f - 20 = -34*f for f. 2 Solve 48*q = -49*q for q. 0 Solve 13*c + 10 = -16 for c. -2 Solve -6 = 12*t - 9*t for t. -2 Solve 5*y + 19 = 9 for y. -2 Solve -17 = 5*k - 7 for k. -2 Solve 81 = -36*f - 63 for f. -4 Solve -13*m + 68 = 4*m for m. 4 Solve 0 = 22*o + 91 - 47 for o. -2 Solve -31*f - 4 = -32*f for f. 4 Solve -168 = 73*z - 101*z for z. 6 Solve -136*u - 201 = -69*u for u. -3 Solve 11*k + 24 = -20 for k. -4 Solve 75 = -77*s + 229 for s. 2 Solve 67*q + 72 = 59*q for q. -9 Solve 75 = 10*a + 5*a for a. 5 Solve -261 = -117*o - 1197 for o. -8 Solve -21*i + 42 = -7*i for i. 3 Solve 2*f = -15*f for f. 0 Solve 0 = -z + 5*z - 12 for z. 3 Solve 11 + 1 = 2*b for b. 6 Solve -54 = -2*g - 46 for g. 4 Solve 32*j = -199 - 25 for j. -7 Solve 0 = -4*x + 56 - 48 for x. 2 Solve 10*k - 22 = -k for k. 2 Solve 0 = 30*f - 35*f - 15 for f. -3 Solve -88*g - 210 = -109*g for g. 10 Solve 6 = 6*y - 30 for y. 6 Solve -3*r + 10 - 10 = 0 for r. 0 Solve -44*q - 224 = -16*q for q. -8 Solve 93*u - 96*u + 3 = 0 for u. 1 Solve 19*m + 274 = 160 for m. -6 Solve 27*a = 16*a - 33 for a. -3 Solve 35 = -m + 38 for m. 3 Solve -51*z + 24 = -45*z for z. 4 Solve -39*o + 28 = -11*o for o. 1 Solve 10*d + d = 3*d for d. 0 Solve 0 = 17*o - 9*o + 40 for o. -5 Solve -2*l - 2 = 6 for l. -4 Solve -4 = 149*u - 147*u for u. -2 Solve 40*s + 4 - 124 = 0 for s. 3 Solve 4*n - 3 = -11 for n. -2 Solve -63*x + 3 = -64*x for x. -3 Solve 26*s - 48 = 30 for s. 3 Solve 75 - 75 = 3*h for h. 0 Solve j = 3*j + 12 for j. -6 Solve 249*t - 248*t - 1 = 0 for t. 1 Solve 24*b - 138 = b for b. 6 Solve 0*o + 4 = 2*o for o. 2 Solve 6 = -59*z + 53*z for z. -1 Solve -117*g + 81*g = 72 for g. -2 Solve -7 = 12*i + 41 for i. -4 Solve -11*b + 9*b + 8 = 0 for b. 4 Solve 25 = 6*l - 11*l for l. -5 Solve -85 = -25*q + 15 for q. 4 Solve -615*d = -606*d - 27 for d. 3 Solve -5*n = -115 + 140 for n. -5 Solve -348 = 5*l - 363 for l. 3 Solve 0 = 23*a - 27*a - 4 for a. -1 Solve w = 3*w - 8 for w. 4 Solve n - 45 = 10*n for n. -5 Solve 43 = -4*c + 71 for c. 7 Solve -2*s = 18*s - 40 for s. 2 Solve 28*x = 12*x for x. 0 Solve -5*h = -370 + 365 for h. 1 Solve 81 = 8*x + 81 for x. 0 Solve -61*c + 160 = -29*c for c. 5 Solve -6*i = -9*i for i. 0 Solve 2*w - 341 + 341 = 0 for w. 0 Solve -3*x = 160 - 154 for x. -2 Solve -50*u + 488 = 11*u for u. 8 Solve -6 = 9*b + 21 for b. -3 Solve -139*h = -141*h - 16 for h. -8 Solve -8*v + 8 = -10*v for v. -4 Solve 23*w - 32*w = 0 for w. 0 Solve 26 + 59 = 85*r for r. 1 Solve 72*x = 74*x for x. 0 Solve -2*q = 13*q - 75 for q. 5 Solve -7*w - 7 - 7 = 0 for w. -2 Solve -815 = -a - 815 for a. 0 Solve -1143*i = -1144*i + 5 for i. 5 Solve 101*m + 78 = 88*m for m. -6 Solve 8*n - 29*n = -84 for n. 4 Solve 20*n - 90 = 11*n for n. 10 Solve 139*q - 149*q - 30 = 0 for q. -3 Solve 4*x - 45 = -11*x for x. 3 Solve 1579 = 8*t + 1659 for t. -10 Solve -20*v = -41 - 59 for v. 5 Solve -113*g - 35 = -106*g for g. -5 Solve 94*b - 105*b - 55 = 0 for b. -5 Solve 0 = 9*b - 2*b - 35 for b. 5 Solve 31 - 47 = 8*a for a. -2 Solve -528*i + 522*i + 24 = 0 for i. 4 Solve -3 = -51*d + 48*d for d. 1 Solve 11*u = -221 + 188 for u. -3 Solve 12*s = -22 - 14 for s. -3 Solve -6*c + 11 = 17 for c. -1 Solve 25 - 15 = 2*q for q. 5 Solve 9*n - 26*n + 17 = 0 for n. 1 Solve -1 = 2*c + 9 for c. -5 Solve -294 + 462 = -21*x for x. -8 Solve 244*i + 6 = 246*i for i. 3 Solve 24*o - 95*o = -213 for o. 3 Solve 17*u + 13 = -4 for u. -1 Solve 9*i = -30 - 6 for i. -4 Solve -k - 124 = -118 for k. -6 Solve -200*x + 209*x + 18 = 0 for x. -2 Solve 86 - 96 = -10*q for q. 1 Solve -95*a = -89*a + 12 for a. -2 Solve -41*v - 168 = v for v. -4 Solve 3*r + 7 = 13 for r. 2 Solve 0 = -3503*v + 3501*v - 20 for v. -10 Solve 602*v = 605*v - 24 for v. 8 Solve 148 = 130*q + 18*q for q. 1 Solve 17*a = -11 + 62 for a. 3 Solve 0*a = 5*a + 5 for a. -1 Solve 48 = -2*l - 14*l for l. -3 Solve -2*z - 28 + 18 = 0 for z. -5 Solve 36 - 151 = -23*t for t. 5 Solve -124 = 77*n + 415 for n. -7 Solve -52*w - 8 = -54*w for w. 4 Solve 0 = 3*b + 67 - 61 for b. -2 Solve -2*z + 8 + 0 = 0 for z. 4 Solve -8*l + 21 = -l for l. 3 Solve -75*x = -7*x - 68 for x. 1 Solve 11*g = 1 + 32 for g. 3 Solve 6 + 0 = 3*k for k. 2 Solve -6*z = -30 + 12 for z. 3 Solve 49 + 89 = 46*a for a. 3 Solve 1859 = -19*h + 1973 for h. 6 Solve 0 = -131*s + 132*s for s. 0 Solve 29*w + 60 = 17*w for w. -5 Solve -36*z + 52 = 16 for z. 1 Solve -34*a - 40 = -26*a for a. -5 Solve -25*h + 10*h = -30 for h. 2 Solve 11*i - 522 = -47*i for i. 9 Solve -5*r + 32 = 17 for r. 3 Solve 6 = -40*s + 46*s for s. 1 Solve 76 = -15*r + 34*r for r. 4 Solve 0 = 8*k + 149 - 117 for k. -4 Solve o = 11 - 10 for o. 1 Solve 22*q = 26*q + 20 for q. -5 Solve 83*b + 18 = 77*b for b. -3 Solve 113*z - 88*z = -150 for z. -6 Solve 19*b - 18*b + 4 = 0 for b. -4 Solve 61 = 8*c + 21 for c. 5 Solve 0 = -4*q + 157 - 141 for q. 4 Solve 280 = 17*c + 18*c for c. 8 Solve -3*v = 7*v - 10 for v. 1 Solve -4*u - 306 = -290 for u. -4 Solve 1376 = 26*t + 1350 for t. 1 Solve 233*j = 240*j for j. 0 Solve -52 = -6*h - 7*h for h. 4 Solve 14*o = 18*o + 16 for o. -4 Solve -4*j + 2*j = 13*j for j. 0 Solve 0 = -4*w + 14*w + 30 for w. -3 Solve 11*c + 91 - 124 = 0 for c. 3 Solve 2060*q - 30 = 2066*q for q. -5 Solve -29*u + 48 = -21*u for u. 6 Solve -4*w + 85 - 69 = 0 for w. 4 Solve -301*c - 190 = -320*c for c. 10 Solve -7*p = 8*p + 75 for p. -5 Solve 30*c = -10*c - 280 for c. -7 Solve -37*v = -6*v - 62 for v. 2 Solve 6 = -5*q + 31 for q. 5 Solve 15*h = -0 + 30 for h. 2 Solve -4*v = v + 10 for v. -2 Solve 3 = -h - 2*h for h. -1 Solve 10*n = 7*n - 15 for n. -5 Solve -101*r + 623 = -12*r for r. 7 Solve 6*h = 20 - 14 for h. 1 Solve 8*w - w = 14 for w. 2 Solve 4 - 16 = 4*s for s. -3 Solve 421 = -7*h + 449 for h. 4 Solve -22*d - 4 = -26*d for d. 1 Solve 2*t + 156 = 144 for t. -6 Solve 2 - 4 = m for m. -2 Solve -28 = 62*u + 406 for u. -7 Solve 3*d = 16 - 1 for d. 5 Solve -2*u = -25 +
{ "pile_set_name": "DM Mathematics" }
'th term of 14, 12, -34, -148, -354? -4*f**3 + 2*f**2 + 20*f - 4 What is the z'th term of -16, 4, 64, 164, 304, 484, 704? 20*z**2 - 40*z + 4 What is the c'th term of -10, 61, 132? 71*c - 81 What is the h'th term of -16, -40, -80, -136? -8*h**2 - 8 What is the u'th term of 193, 191, 189, 187, 185? -2*u + 195 What is the f'th term of -16, -25, -34, -43, -52, -61? -9*f - 7 What is the x'th term of 2, 4, 0, -16, -50, -108? -x**3 + 3*x**2 What is the c'th term of 7, 16, 21, 16, -5, -48, -119, -224? -c**3 + 4*c**2 + 4*c What is the f'th term of 4801, 4815, 4845, 4897, 4977, 5091, 5245, 5445? f**3 + 2*f**2 + f + 4797 What is the s'th term of -11, -8, -9, -14, -23, -36? -2*s**2 + 9*s - 18 What is the w'th term of -254, -508, -768, -1034? -3*w**2 - 245*w - 6 What is the t'th term of -2, 16, 56, 130, 250? 2*t**3 - t**2 + 7*t - 10 What is the x'th term of -89, -142, -191, -236, -277, -314, -347? 2*x**2 - 59*x - 32 What is the a'th term of 134, 162, 200, 242, 282, 314, 332, 330? -a**3 + 11*a**2 + 2*a + 122 What is the i'th term of -133, -259, -601, -1267, -2365, -4003? -18*i**3 - 115 What is the d'th term of -569, -568, -567, -566, -565, -564? d - 570 What is the d'th term of 211, 155, 57, -89, -289, -549, -875? -d**3 - 15*d**2 - 4*d + 231 What is the n'th term of -4, 8, 16, 8, -28, -104? -2*n**3 + 10*n**2 - 4*n - 8 What is the c'th term of -19, -63, -107, -151, -195, -239? -44*c + 25 What is the q'th term of -746, -748, -740, -716, -670, -596? q**3 - q**2 - 6*q - 740 What is the q'th term of 25, 46, 63, 76? -2*q**2 + 27*q What is the d'th term of 91, 140, 177, 196, 191, 156, 85? -d**3 + 56*d + 36 What is the z'th term of -272, -563, -854? -291*z + 19 What is the n'th term of 21, 34, 61, 108, 181, 286, 429, 616? n**3 + n**2 + 3*n + 16 What is the n'th term of 4, 37, 96, 187, 316, 489? n**3 + 7*n**2 + 5*n - 9 What is the u'th term of 14, 27, 48, 77, 114, 159? 4*u**2 + u + 9 What is the z'th term of -1665, -1667, -1671, -1677, -1685, -1695? -z**2 + z - 1665 What is the v'th term of -19, -91, -171, -265, -379, -519? -v**3 + 2*v**2 - 71*v + 51 What is the m'th term of -1191, -1192, -1193, -1194, -1195? -m - 1190 What is the g'th term of -3849, -7699, -11549? -3850*g + 1 What is the v'th term of -53, -133, -223, -329, -457? -v**3 + v**2 - 76*v + 23 What is the i'th term of 62, 238, 532, 944, 1474? 59*i**2 - i + 4 What is the m'th term of -11, -33, -59, -89, -123? -2*m**2 - 16*m + 7 What is the x'th term of 123, 122, 121? -x + 124 What is the w'th term of -124, -259, -410, -583, -784, -1019, -1294? -w**3 - 2*w**2 - 122*w + 1 What is the u'th term of 52, 117, 196, 289, 396, 517? 7*u**2 + 44*u + 1 What is the z'th term of 8, 22, 36, 50, 64? 14*z - 6 What is the t'th term of 59, 221, 491, 869, 1355, 1949? 54*t**2 + 5 What is the x'th term of -22, -24, -16, 8, 54, 128, 236? x**3 - x**2 - 6*x - 16 What is the a'th term of -59, -81, -105, -131, -159? -a**2 - 19*a - 39 What is the r'th term of -51, -93, -121, -129, -111, -61, 27, 159? r**3 + r**2 - 52*r - 1 What is the q'th term of 78, 373, 864, 1551, 2434, 3513, 4788? 98*q**2 + q - 21 What is the t'th term of -31, -39, -49, -61, -75, -91? -t**2 - 5*t - 25 What is the r'th term of 5595, 11187, 16779, 22371? 5592*r + 3 What is the g'th term of 164, 330, 496? 166*g - 2 What is the y'th term of -95, -104, -121, -146, -179, -220? -4*y**2 + 3*y - 94 What is the x'th term of -20, -76, -166, -290, -448, -640? -17*x**2 - 5*x + 2 What is the z'th term of -150, -150, -138, -108, -54? z**3 - 7*z - 144 What is the b'th term of 206, 203, 198, 191? -b**2 + 207 What is the o'th term of -44, -79, -106, -125, -136, -139? 4*o**2 - 47*o - 1 What is the p'th term of 1, 122, 449, 1084, 2129, 3686? 17*p**3 + p**2 - p - 16 What is the f'th term of -52, -48, -42, -34, -24, -12? f**2 + f - 54 What is the d'th term of -127, -118, -103, -82, -55? 3*d**2 - 130 What is the g'th term of -17, -18, -19, -20? -g - 16 What is the k'th term of 11, 33, 65, 107, 159, 221? 5*k**2 + 7*k - 1 What is the m'th term of 661, 1323, 1985, 2647, 3309? 662*m - 1 What is the k'th term of -11510, -23018, -34516, -45998, -57458, -68890, -80288? k**3 - k**2 - 11512*k + 2 What is the g'th term of -60, -68, -84, -108, -140, -180, -228? -4*g**2 + 4*g - 60 What is the d'th term of 39, 67, 109, 171, 259, 379, 537? d**3 + d**2 + 18*d + 19 What is the w'th term of 17, 30, 53, 92, 153, 242? w**3 - w**2 + 9*w + 8 What is the z'th term of 1615, 6457, 14527, 25825, 40351, 58105, 79087? 1614*z**2 + 1 What is the g'th term of -1018, -2024, -3030, -4036, -5042? -1006*g - 12 What is the u'th term of -26, -162, -524, -1226, -2382? -19*u**3 + u**2 - 6*u - 2 What is the w'th term of 379, 354, 329, 304? -25*w + 404 What is the x'th term of -44, -83, -122, -161, -200, -239? -39*x - 5 What is the c'th term of 195, 215, 237, 261, 287, 315, 345? c**2 + 17*c + 177 What is the u'th term of 4, -4, -24, -62, -124, -216, -344, -514? -u**3 - u + 6 What is the a'th term of -1213, -1215, -1221, -1231? -2*a**2 + 4*a - 1215 What is the n'th term of 9424, 9423, 9422? -n + 9425 What is the u'th term of -4, -9, -12, -13, -12, -9? u**2 - 8*u + 3 What is the r'th term of -266, -509, -730, -929? 11*r**2 - 276*r - 1 What is the s'th term of 34, 31, 28, 25, 22? -3*s + 37 What is the z'th term of 49, 102, 175, 274, 405, 574, 787? z**3 + 4*z**2 + 34*z + 10 What is the z'th term of -6, -8, -18, -42, -86? -z**3 + 2*z**2 - z - 6 What is the u'th term of -67, -122, -177? -55*u - 12 What is the l'th term of -474, -975, -1476, -1977? -501*l + 27 What is the h'th term of -4, -17, -38, -67? -4*h**2 - h + 1 What is the h'th term of -745, -738, -733, -730, -729, -730, -733? -h**2 + 10*h - 754 What is the m'th term of -66, -72, -88, -120, -174, -256? -m**3 + m**2 - 2*m - 64 What is the g'th term of 15, 2, -43, -138, -301, -550, -903? -3*g**3 + 2*g**2 + 2*g + 14 What is the t'th term of -52, -138, -272, -454, -684, -962? -24*t**2 - 14*t - 14 What is the t'th term of -452, -445, -438, -431, -424, -417? 7*t - 459 What is the n'th term of -78, -253, -550, -975, -1534, -2233, -3078, -4075? -n**3 - 55*n**2 - 3*n - 19 What is the f'th term of 107, 136, 189, 272, 391, 552? f**3 + 6*f**2 + 4*f + 96 What is the u'th term of -30, -62, -92, -120, -146, -170? u**2 - 35*u + 4 What is the q'th term of 204, 212, 220? 8*q + 196 What is the a'th term of 1, 0, -3, -8, -15, -24? -a**2 + 2*a What is the l'th term of -39, -113, -237, -411, -635? -25*l**2 + l - 15 What is the h'th term of 4309, 4303, 4293, 4279? -2*h**2 + 4311 What is the z'th term of -290, -299, -310, -323? -z**2 - 6*z - 283 What is the h'th term of 7807, 7792, 7761, 7708, 7627, 7512? -h**3 - 2*h**2 - 2*h + 7812 What is the d'th term of -10, -25, -40? -15*d + 5 What is the t'th term of -37, -140, -311, -550, -857, -1232? -34*t**2 - t - 2 What is the i'th term of -41, -51, -71, -107, -165, -251, -371, -531? -i**3 + i**2 - 6*i - 35 What is the z'th term of -73, -166, -281, -418, -577? -11*z**2 - 60*z - 2 What is the d'th term of 299, 604, 909, 1214, 1519? 305*d - 6 What is the l'th term of -6, -5, 8, 39, 94, 179, 300, 463? l**3 - 6*l - 1 What is the o'th term of 62, 42, 20, -4, -30? -o**2 - 17*o + 80 What is the w'th term of 193, 389, 585, 781, 977, 1173? 196*w - 3 What is the t'th term of -66, -240, -530, -936, -1458, -2096? -58*t**2 - 8 What is the s'th term of 94, 190, 286, 382? 96*s - 2 What is the i'th term of -145, -172, -201, -232? -i**2 - 24*i - 120 What is the h'th term of 15, 62, 105, 144? -2*h**2 + 53*h - 36 What is the i'th term of 87, 121, 155? 34*i + 53 What is the n'th term of 5282, 5289, 5300, 5315, 5334, 5357? 2*n**2 + n + 5279 What is the y'th term of 1483, 2969, 4457, 5947, 7439, 8933? y**2 + 1483*y - 1 What is the y'th term of 535, 1067, 1595, 2119, 2639, 3155? -2*y**2 + 538*y - 1 What is the l'th term of -36, -79, -120, -153, -172, -171? l**3 - 5*l**2 - 35*l + 3 What is the j'th term of -4, 3, 16, 35, 60, 91? 3*j**2 - 2*j - 5 What is the r'th term of 196, 791, 1782, 3169, 4952, 7131, 9706? 198*r**2 + r - 3 What is the p'th term of -188, -376, -564, -752, -940, -1128? -188*p What is the m'th term of -130, -259, -388, -517? -129*m - 1 What is the w'th term of -10, -115, -400, -955, -1870, -3235, -5140, -7675? -15*w**3 + 5 What is the v'th term of 82, 37,
{ "pile_set_name": "DM Mathematics" }
factor of ((-624)/(-9))/4*f/(-2)? False Let m(h) = h**2 + 6*h + 2. Let b be m(-5). Let o be -48 - (-1)/(2 + b). Let d = o - -100. Does 17 divide d? True Let s be ((-1)/2)/((-4)/16). Let g be 146/s - 3/(-1). Suppose 3*f = g - 10. Is f a multiple of 13? False Suppose t = -3*w + 210, 5*t + w + 17 = 997. Is t a multiple of 20? False Let j = 669 + -119. Does 10 divide j? True Suppose l - 2*k - 48 - 40 = 0, -4*l - 5*k = -417. Suppose -2*m - 2*o = -l, -3*m - 5*o + 152 = 7. Is 13 a factor of m? False Suppose g = 2*g + 20. Let m(s) = -s**3 - 21*s**2 - 22*s - 4. Does 9 divide m(g)? True Let m(l) = 0 + l + 1 + 2 + 64*l**2 - 4. Let d be m(1). Suppose -2*q + 52 + d = 0. Is 24 a factor of q? False Let y(h) = 74*h**2 - 2*h - 1. Let r be y(-1). Suppose 0 = 5*p + 2*t + r, 2*p + 2*t + 15 + 9 = 0. Let c = -10 - p. Does 3 divide c? False Let p be (-5)/(-2 - -1)*20. Suppose 0 = 4*z - p - 24. Is z a multiple of 8? False Does 9 divide (-4416)/(-10) - 30/50? True Suppose 5*u = -2*i + 62, i + 51 = 4*i - 3*u. Let v = i + -23. Is (4 - -7)*1 + v a multiple of 3? True Let n(b) = 26*b**2 - 26*b + 74. Does 34 divide n(8)? True Let q(o) = -16*o + 1. Is 2 a factor of q(-1)? False Let g be (-4)/10 + (-24)/15. Suppose -1 + 21 = 5*x. Is 12/(-6)*x/g a multiple of 2? True Let q = -153 - -707. Is q a multiple of 29? False Does 10 divide 9/(-30) - 187236/(-120)? True Let m(y) = -7*y - 2. Let w be m(-1). Suppose -14 = -2*g + 2*k - 4, -w*g + k + 25 = 0. Suppose -73 = -g*i + 4*o, 3 = i + 5*o - 0*o. Does 13 divide i? True Let u = 2420 - 1530. Is u a multiple of 15? False Let w(p) be the second derivative of p**7/840 + p**6/360 - p**5/60 + p**4/6 - 8*p. Let j(o) be the third derivative of w(o). Does 3 divide j(-2)? True Let k(j) = 4*j**2 - j + 1. Let r be k(1). Suppose 0 = 5*y - 10, 2*a + 359 = 5*a + r*y. Suppose -2*n = -2, -a = -2*v - n - 36. Does 20 divide v? True Let z = -3510 - -6668. Is 33 a factor of z? False Let z(l) = 18 - 13*l - 31384*l**3 + 19*l**2 - 4*l + 31383*l**3. Let o(j) = 10*j - 2. Let d be o(2). Does 36 divide z(d)? True Let t(z) = 180*z**2 + 2*z - 2. Is 14 a factor of t(1)? False Let p = 1280 - 979. Is p a multiple of 7? True Let o = -34 + 26. Let y = 54 - o. Does 31 divide y? True Suppose -5*o - 15*p + 1145 = -20*p, -4*o = -5*p - 920. Does 15 divide o? True Suppose -3*y = -2*w + 4*w - 121, 0 = -4*w - 4*y + 240. Is 12 a factor of w? False Let k(q) = q**3 + 32*q**2 - 74*q + 13. Is 23 a factor of k(-34)? False Suppose -20 = f - 5*f. Suppose -f*n + 5*l + 44 = -46, -54 = -3*n + 4*l. Does 6 divide n? True Let c(o) = -2*o**3 - 3*o**2 - 5*o - 2. Let u be c(-4). Suppose -3*v - u = -290. Is 16 a factor of v? True Let u(y) = -2*y**2 - 20*y - 5. Let a(p) = p**2 + 10*p + 2. Let g(v) = 5*a(v) + 2*u(v). Let j be g(-10). Suppose j = 2*f - 25 - 11. Is 12 a factor of f? False Let t be ((-1)/(-2) - 0) + 361/2. Suppose -t = 2*b - 441. Is b a multiple of 10? True Let s(a) = a**3 + 32*a**2 - 51*a - 9. Is 100 a factor of s(-29)? False Suppose -8*o = -677 - 571. Does 7 divide o? False Let g = -739 - -967. Does 38 divide g? True Let w be 9/((-18)/(-320)) - (7 + -2). Suppose 0 = 3*n + 4*r - 253, 4*n + 3*r - 331 = 4*r. Let x = w - n. Is 15 a factor of x? False Let x = 51 - 15. Let j = x - 8. Let b = j - -7. Is b a multiple of 20? False Suppose 2*p - 2203 + 7733 = 4*v, 2*v = 2*p + 2770. Does 23 divide v? True Suppose -5*n = -n - 60. Is 9 a factor of 11 + 5*3/n? False Suppose d = n - 900, 79*n - 80*n + 903 = 2*d. Is n a multiple of 37? False Let z(d) = -59*d**3 - 9*d**2 + 5*d + 11. Let n(h) = 29*h**3 + 4*h**2 - 2*h - 5. Let k(a) = 9*n(a) + 4*z(a). Let l = -1 + 2. Does 13 divide k(l)? True Let y = -97 + 352. Is y a multiple of 7? False Let p(x) = 6*x - 8. Let f be p(2). Suppose f*w = w - 9, 4*w = -5*m + 38. Is m a multiple of 2? True Is 28 a factor of 12/21 + 52848/126? True Let l = 39 + -45. Is (-1)/(l/100)*15 a multiple of 13? False Let y(m) = -m - 2. Let v be y(1). Let s(p) = -p**3 - p**2 - 3*p - 7. Is 18 a factor of s(v)? False Suppose 4*k - 2*t = t - 73, -4*t - 130 = 5*k. Let f = -18 - k. Does 4 divide (f + -24)*(-4)/10? True Let w = -6 + -59. Let t = 81 + w. Does 5 divide t? False Let t(d) = d**3 + 4*d**2 + 4*d + 3. Let a = 12 + -15. Let h be t(a). Suppose 0 = 2*p - h*p - 92. Does 12 divide p? False Suppose 0 = 2*b + 2*k + k + 133, 0 = -b - 3*k - 68. Let x = -26 - b. Is x a multiple of 14? False Let p(h) = 23*h**3 + h**2 - 19*h + 56. Is p(4) a multiple of 13? False Let h(b) be the first derivative of 23*b**2/2 + 25*b + 26. Is h(6) a multiple of 14? False Let a(t) be the third derivative of -7*t**2 + 0*t + 0 - 1/3*t**3 - 1/60*t**5 - 3/8*t**4. Is a(-7) a multiple of 4? True Suppose 0*p - 7601 = -11*p. Is 22 a factor of p? False Suppose 0*d + 31 = 5*k + 2*d, 22 = 2*k + 4*d. Suppose -8 - 110 = -4*w + 2*n, 15 = -k*n. Suppose -8*h + w = -4*h. Is h a multiple of 7? True Does 20 divide 80/6*(-432 + -12)/(-4)? True Let l(g) = 16*g**3 + 61*g**2 - 65*g - 45. Let m(u) = 3*u**3 + 12*u**2 - 13*u - 9. Let p(x) = -2*l(x) + 11*m(x). Is 2 a factor of p(-11)? False Suppose -4*h + 68 = 4*c, 4*c - 34 = h + 9. Let p be ((-15)/(-20))/(3/c). Suppose p*b = -b + 12. Is 3 a factor of b? True Let m(z) = 2*z**2 - 21*z + 13. Does 31 divide m(14)? False Is 7 a factor of (-1026)/76*(-624)/9? False Let g = 20 - 13. Let r(n) = -3*n**2 + n. Let u(i) = -8*i**2 - 13*i + 8. Let a(q) = 3*r(q) - u(q). Does 11 divide a(g)? True Let n(c) = -2*c**2 - 6*c - 8. Let y be n(-3). Is 11 a factor of 13 - -1 - (6 + y)? False Let t = -25 + -68. Let x = t + 172. Suppose 73 = 2*w - x. Is w a multiple of 19? True Let o(l) = 19*l**2 + 55*l - 16. Is 115 a factor of o(13)? True Suppose -4*y - b = -833, 6*y - b = 4*y + 415. Suppose 0*g - 4*g + y = 0. Does 10 divide g? False Let o = 621 + -299. Does 12 divide o? False Suppose 6*q - 15 = q. Suppose -4*n - m = -264 + 8, -327 = -5*n - q*m. Suppose -n = -3*b + 3*p, 2*b = 5*b - p - 73. Does 13 divide b? True Suppose 0*z = 2*z + 4. Let v be (z - 1)*(-7 - 3). Let l = 55 - v. Does 25 divide l? True Let x(b) be the third derivative of 1/10*b**5 + 2*b**2 + 0*b - 1/6*b**4 + 0 + 1/3*b**3. Is 24 a factor of x(4)? False Suppose 5*y + 5*c = -10, c = -2*y - 2*c - 9. Suppose -5*q + 17 = -y. Suppose 3*b - 91 = -q. Does 22 divide b? False Let p be (2 - -82)*(-22)/(-4). Suppose 9*g = 2*g + p. Does 11 divide g? True Suppose 0 = -159*b + 156*b + 1680. Is b a multiple of 8? True Suppose 3*g - 5 = -8. Let o be -3 + (-3 - (g - 1)). Is 13 a factor of (-8)/6*54/o? False Let w = 18 + -16. Let u(o) = o**w - 148*o + 11 + 148*o. Is u(6) a multiple of 10? False Suppose 3000*i - 2998*i = 3360. Is 67 a factor of i? False Suppose 0 = 4*q - 4*k + 145 + 371, 4*q + 543 = -5*k. Let u = q - -258. Does 18 divide u? True Let r be 2/(-8) - (-36)/16. Suppose -r*s + 2 = 10. Does 13 divide 42 + (-4)/s + 0? False Let c(l) be the third derivative of 1/24*l**4 + 0*l + 0 + 1/30*l**5 - l**2 - 3/2*l**3. Is c(5) a multiple of 23? True Let g(m) be the second derivative of m**5/10 - m**4/12 + m**3/3 + 11*m**2/2 - 11*m. Is g(0) a multiple of 11? True Let u(i) = -i**3 + 8*i**2 + i + 1. Let n be u(-6). Suppose 2*p - w + 127 = 0, 4*w - n = 5*p - 180. Does 12 divide 4/14 - 864/p? False Suppose 15*b + 20 = 17*b. Let r = b - -8. Is 18 a factor of r? True Suppose 0 = g - 6 - 138. Does 15 divide g? False Let y = 1539 + -1032. Does 30 divide y? False Let y(x) = 0*x**3 - 11 - x**3 + 2*x**3 - x - 3*x + 6*x - 12*x**2. Let s be (3 + 2)*(-12)/(-5). Is 13 a factor of y(s)? True Let c = 18 - 4. Suppose -3 = 13*p - c*p. Suppose p*r + 2*d = 129, 3*r = 7*r - 3*d - 172. Does 25 divide r? False Suppose 1413 = 5*a + 4*q, 5*a - 2*a + q = 852. Is a a multiple of 15? True Suppose -15*z + 20 = -11*z. Is 2 a factor of z? False Suppose -18*t + 4240 = -3320. Is 20 a factor of t? True Is 25 a factor of (-1)/((123/(-82))/(2364/2))? False Let d(b) = 0 - 3*b**2 + 5*b**2 - 4 + 8*b**2 - b. Is d(-2) a multiple of 19? True Suppose -2*i + 0 - 3 = -s, 0 = -2*i + 3*s - 9. Suppose i = -3*u + 264 - 21. Is u a multiple of 20? False Let a = 234 - 198. Is 5 a factor of a? False Suppose 540 = -0*n + 2*n. Suppose -5*o - n = 240. Does 15 divide (21/(-6) - -3)*o? False Let i(f) = -f**2 - 8*f - 7. Suppose 0 = 4*d + d + 35. Let a be i(d). Suppose -v = -a*v - 23. Does 11 divide v? False Suppose k = 65
{ "pile_set_name": "DM Mathematics" }
What is the derivative of 63*z + 173? 63 What is the second derivative of 4671*f**2 + 10076*f + 2 wrt f? 9342 What is the second derivative of 25*g**4 + 5*g wrt g? 300*g**2 Find the second derivative of 1552*i**5 - 148*i - 5 wrt i. 31040*i**3 Find the first derivative of -3417*j - 4318 wrt j. -3417 Find the first derivative of 6178*g**2 + 2*g - 8773. 12356*g + 2 Differentiate -c*m*t + 3*c*t - m**3 + 69*m + 9*t with respect to m. -c*t - 3*m**2 + 69 What is the second derivative of 694*r**2*x**2 - 469*r**2*x wrt x? 1388*r**2 What is the third derivative of -450*d**3*r - 4*d**2*r + 3*d**2 + 4*d wrt d? -2700*r Find the third derivative of 720*v**6 + 147*v**2 wrt v. 86400*v**3 Find the second derivative of t*z**2 - t*z - 24*t - 1287*z**2 + 2*z wrt z. 2*t - 2574 What is the third derivative of 2*f**3*g*z + 3367*f**3*z - 2*f**2*z + 76*f*z - 2*g*z wrt f? 12*g*z + 20202*z What is the second derivative of -22*q**5*y**2 + 30*q**3 + 12*q + 10*y**2 wrt q? -440*q**3*y**2 + 180*q Find the second derivative of a*o**3 - a*o**2 - 1663*a*o + 78*o**3 wrt o. 6*a*o - 2*a + 468*o Differentiate 3886*o**4 + 1475 wrt o. 15544*o**3 Differentiate -11*p**3 - 3*p**2*w + p + 17*w wrt p. -33*p**2 - 6*p*w + 1 What is the third derivative of 284*c**4 + c**3*x + c**3 + 18*c**2*x - 8*c*x wrt c? 6816*c + 6*x + 6 Differentiate -2*o*w**4*y - 3*o*w**3*y - o*w - 197*o*y wrt w. -8*o*w**3*y - 9*o*w**2*y - o What is the second derivative of 91*b**2*j**2 + 2*b**2 + 158*b*j + 2*j**2 wrt j? 182*b**2 + 4 What is the derivative of 2*j**2 + 1959*j + 26096? 4*j + 1959 What is the second derivative of -64*a**2 - 112*a? -128 What is the second derivative of -18*a**2*q**3*u*y**3 - 3*a**2*q**3*y + 2*a*q**3*u*y**2 - a*q*u*y**2 + 2*q**3*u*y**3 - 4*q**3 + 12*q*y**3 wrt a? -36*q**3*u*y**3 - 6*q**3*y What is the second derivative of -105*h**2*m**3 - h**2*m*v - h**2*m + 355*h*m - 2*m**3 + 2*m*v wrt h? -210*m**3 - 2*m*v - 2*m Differentiate g*m**2 + 27*g*m - 128*g - 4*m**2 wrt m. 2*g*m + 27*g - 8*m Find the second derivative of 22*f**2*v**3 + 3*f**2*v**2 - f**2*v - 160*v - 2 wrt v. 132*f**2*v + 6*f**2 What is the second derivative of 9065*g**3 + 20*g - 7? 54390*g Find the third derivative of i**3*k**2*w + 37*i**3*k**2 + 3*i**3 - i**2*k**2*w + i**2*k**2 - i*k**2*w - 48*i*k*w wrt i. 6*k**2*w + 222*k**2 + 18 Differentiate 3*c*j*n - c*j*q - 52*c*j - 53*c*n*q - 2*c*n + 2*j*n - 6*j wrt n. 3*c*j - 53*c*q - 2*c + 2*j Find the second derivative of 4153*d**3*n**2*o**2 + 2*d**3*n**2 - 2*d**2*n**2*o + 26*d**2*n**2 + d**2*n*o - 2*n**2*o**2 wrt o. 8306*d**3*n**2 - 4*n**2 Find the second derivative of -299*y**4 - 2*y + 65. -3588*y**2 What is the second derivative of 8*c**5*r - 108*c**2*r + 246*c + r wrt c? 160*c**3*r - 216*r Find the first derivative of -24235*k**3 - 11712 wrt k. -72705*k**2 Find the third derivative of -786*j**2*v**4 + 78*j**2 - 5*v**2 wrt v. -18864*j**2*v What is the third derivative of 21*l**3*m**3 + l**3*m**2 + 5*l**3 + 17*l*m**3 + 16*l wrt m? 126*l**3 + 102*l What is the first derivative of 562*t**2 + 387 wrt t? 1124*t Find the first derivative of f**2*n - 2*f**2 - 11*f*n**3 + 47*f wrt n. f**2 - 33*f*n**2 What is the derivative of -6034*m**2*q + 210*m**2 - m - 9 wrt q? -6034*m**2 Differentiate -2*c*m**3 - 390*c*m + 3*c + 29 wrt m. -6*c*m**2 - 390*c Find the third derivative of -41*r**3 - 86*r**2. -246 What is the derivative of -11*v**2 - 12*v + 126 wrt v? -22*v - 12 Differentiate 6226*g**3*m**2*o**2 - 4*g**3*m**2 - 7*g**3*m + 19*g*m**2 + 2*m*o**2 wrt o. 12452*g**3*m**2*o + 4*m*o Find the third derivative of 1075*o**4 + o**3 + 2*o**2 - 234. 25800*o + 6 What is the derivative of 16937*n**3 - 4165? 50811*n**2 Find the third derivative of 2*i*l**6 - 11*i*l**4 - 2*i*l**2 + 13*l**4 - 5*l**2 - 2*l + 5 wrt l. 240*i*l**3 - 264*i*l + 312*l Find the third derivative of 3123*j**6 - 3745*j**2 wrt j. 374760*j**3 Find the second derivative of -6*j*z**4 + 2*j*z + j - 42*z**5 + z + 2 wrt z. -72*j*z**2 - 840*z**3 What is the third derivative of 114*l**2*x**3 - 5*l**2*x - 30*l*x**2 wrt x? 684*l**2 What is the third derivative of 5*c**3*w**3 + 2225*c**3*w**2 + 342*w**3 wrt w? 30*c**3 + 2052 Find the second derivative of -121*n*t**4 - n*t + 2*n - 4*t**4 + 11*t wrt t. -1452*n*t**2 - 48*t**2 Find the first derivative of 82*t**2 - t + 269. 164*t - 1 What is the second derivative of -g**5*i**2 - 60*g**5 - 2*g**2 - 3*g*i + 13*g + 2*i**2 wrt g? -20*g**3*i**2 - 1200*g**3 - 4 What is the third derivative of -362*k**4 + 59*k**2 + 3*k wrt k? -8688*k What is the derivative of 2*p**3*v - 6*p**3 - 6*p*v - p - 12297*v wrt p? 6*p**2*v - 18*p**2 - 6*v - 1 What is the second derivative of -389*c**3 - 964*c wrt c? -2334*c What is the third derivative of 7*w**3*y - 5*w**3 + 246*w**2*y wrt w? 42*y - 30 Find the third derivative of -195*h**2*r**4 - 36*h**2*r**2 - h*r**2 wrt r. -4680*h**2*r Find the second derivative of 66*j**3*u**3 - j**3*u**2 + j**3*u + 2*u**3 + 4*u wrt u. 396*j**3*u - 2*j**3 + 12*u Differentiate 125*q**4*y**2 - 3*q**4 - q*y + 66*y**2 - 1 wrt q. 500*q**3*y**2 - 12*q**3 - y What is the third derivative of -q**3*w**3 + 461*q**3*w**2 - 8*q**3*w - 2*q**2*w**3 - q**2 + 1773*q*w**2 wrt q? -6*w**3 + 2766*w**2 - 48*w What is the second derivative of 2*a**2*i*q + a**2*q**2 - a*i*q**2 - 18*a*i*q - 50*q**2 wrt q? 2*a**2 - 2*a*i - 100 What is the third derivative of -2703*g**4 - 142*g**2 - 2*g + 4? -64872*g What is the second derivative of -2*j**2*p*s**2 - 57*j**2*p*s - 63*j*p*s - j*p + 5940*p*s**2 wrt s? -4*j**2*p + 11880*p Find the third derivative of 7043*c**6 + 6072*c**2. 845160*c**3 What is the first derivative of -4902*x**4 - 13355? -19608*x**3 Find the first derivative of 1126*m*q + 473*q wrt m. 1126*q Find the third derivative of 389*h**3 + 587*h**2. 2334 What is the first derivative of 186*x**4 + 22? 744*x**3 Find the second derivative of -d*g*v*z**2 + 2*d*g*v*z + 2*g*v**2*z**2 - g*v*z + 16*v**2*z**2 + 8*v**2 wrt z. -2*d*g*v + 4*g*v**2 + 32*v**2 What is the second derivative of 28*j**4*r**2 - 15*j**4 - 3*j*r**2 - 124*j + 5*r**2 wrt j? 336*j**2*r**2 - 180*j**2 What is the third derivative of -4962*t**4 - 2*t**2 + t - 116 wrt t? -119088*t Find the third derivative of -636*q**5 - 2479*q**2 wrt q. -38160*q**2 What is the derivative of b**3 - 1118*b**2 + 2085? 3*b**2 - 2236*b Find the third derivative of 7*d**6*h - 14*d**3*h**2 + 3*d**2*h - 2*d*h**2 + 643*h**2 wrt d. 840*d**3*h - 84*h**2 Find the third derivative of -436*a**3*z**3 - a**3*z**2 + 11*a**2*z**3 - 2*a**2*z**2 - 9*a*z**2 wrt a. -2616*z**3 - 6*z**2 Find the second derivative of 15*a**3*l**3 + 221*a**3*l + 27*a*l**3 + 58*a*l + 2*a wrt a. 90*a*l**3 + 1326*a*l What is the first derivative of 25*a + 123 wrt a? 25 Differentiate 27*m**3 - 2*m**2 + 227 with respect to m. 81*m**2 - 4*m Find the third derivative of -14*p**4 + 23*p**2 wrt p. -336*p Find the second derivative of -159*c**5 - 6*c - 8 wrt c. -3180*c**3 Find the second derivative of -4*a**3*b**2 - a**3*b*x - 11*a**3*b + 7*a**2*b**2*x - 2*b*x wrt b. -8*a**3 + 14*a**2*x Find the first derivative of -136*s**4 - 47 wrt s. -544*s**3 What is the derivative of 209*v*z + 17*v + 4 wrt z? 209*v What is the first derivative of -8*a*g**3*u**3 + 8*a*g*u + 19*g**3*u**2 + 3*g**2*u**3 wrt a? -8*g**3*u**3 + 8*g*u What is the third derivative of 944*m**3 - 35*m**2 - 3*m? 5664 Differentiate 24*b*j**2 + 5*b*j*t - 2*b*t**3 - b - 2*j**2*t**2 + j**2 wrt t. 5*b*j - 6*b*t**2 - 4*j**2*t Differentiate -5*h**3 + 19*h**2*v - h - 3261*v wrt h. -15*h**2 + 38*h*v - 1 Find the third derivative of -13421*t**5 + 19*t**2 - 46*t wrt t. -805260*t**2 Find the third derivative of -244*n**6 + 5*n**5 - 860*n**2. -29280*n**3 + 300*n**2 What is the first derivative of s**2*u*w**2 - 37*s**2*w**2 + s*u + 13*u*w**3 + 5*w**3 wrt u? s**2*w**2 + s + 13*w**3 Find the second derivative of 6*f*k**2*y**3 + f*k + f*y**3 + k**2*y - 2*k - 9*y**3 - y wrt y. 36*f*k**2*y + 6*f*y - 54*y Differentiate 259*d - 21. 259 What is the second derivative of 212*u**4 - 3*u - 22? 2544*u**2 Find the second derivative of 2*i*p*t**3*x**2 + 3*i*p*t**3 - 26*i*p*t*x - 2*i*t**3*x + 3*p*t**2*x**2 - 2*p*t*x + 3*t**3*x**2 wrt x. 4*i*p*t**3 + 6*p*t**2 + 6*t**3 Differentiate -83*c**3*w - 210*c**3 + 2*c**2*w wrt w. -83*c**3 + 2*c**2 Find the third derivative of 2*t**4 + 105*t**3 - t**2 - t - 22.
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 122695 is divided by 59212. 4271 What is the remainder when 75163071 is divided by 1603? 4 What is the remainder when 220214 is divided by 3807? 3215 What is the remainder when 2080104 is divided by 7? 5 What is the remainder when 6050527 is divided by 176? 175 Calculate the remainder when 3623162 is divided by 232. 18 Calculate the remainder when 28909210 is divided by 59. 36 What is the remainder when 46827 is divided by 3781? 1455 Calculate the remainder when 1644353 is divided by 548110. 23 What is the remainder when 3022976 is divided by 1651? 1646 Calculate the remainder when 737686 is divided by 92209. 14 Calculate the remainder when 2581907 is divided by 1113. 860 What is the remainder when 1269846 is divided by 2782? 1254 Calculate the remainder when 24011002 is divided by 83662. 8 Calculate the remainder when 366621 is divided by 3527. 3340 Calculate the remainder when 1309164 is divided by 342. 330 What is the remainder when 1040137 is divided by 43339? 1 What is the remainder when 27337041 is divided by 4529? 4526 Calculate the remainder when 15860396 is divided by 1885. 6 What is the remainder when 152314 is divided by 152233? 81 Calculate the remainder when 38411796 is divided by 60971. 66 Calculate the remainder when 270774 is divided by 54128. 134 Calculate the remainder when 52461 is divided by 1005. 201 Calculate the remainder when 17846 is divided by 189. 80 Calculate the remainder when 32899 is divided by 3170. 1199 What is the remainder when 1102179196 is divided by 128? 124 What is the remainder when 389293 is divided by 191553? 6187 What is the remainder when 909947 is divided by 376? 27 Calculate the remainder when 624055230 is divided by 53. 52 Calculate the remainder when 2853711 is divided by 9772. 287 What is the remainder when 379354 is divided by 1539? 760 Calculate the remainder when 21783889 is divided by 7261283. 40 What is the remainder when 65768 is divided by 28521? 8726 Calculate the remainder when 499930 is divided by 77. 46 Calculate the remainder when 258848998 is divided by 60. 58 Calculate the remainder when 367212 is divided by 172. 164 Calculate the remainder when 432694 is divided by 85. 44 Calculate the remainder when 1982179 is divided by 470. 189 What is the remainder when 245296261 is divided by 136? 133 What is the remainder when 4564083 is divided by 83? 79 What is the remainder when 240429 is divided by 400? 29 What is the remainder when 2805058 is divided by 935000? 58 What is the remainder when 15150031 is divided by 5050010? 1 What is the remainder when 4674839 is divided by 86571? 5 What is the remainder when 250059 is divided by 35715? 54 What is the remainder when 16146 is divided by 2684? 42 Calculate the remainder when 595903 is divided by 297766. 371 What is the remainder when 5561 is divided by 555? 11 Calculate the remainder when 139148 is divided by 878. 424 Calculate the remainder when 518511 is divided by 51850. 11 What is the remainder when 6248726 is divided by 328880? 6 Calculate the remainder when 159070 is divided by 49. 16 What is the remainder when 1647 is divided by 536? 39 Calculate the remainder when 356359 is divided by 847. 619 What is the remainder when 20477 is divided by 144? 29 Calculate the remainder when 4672030 is divided by 10993. 5 What is the remainder when 51540 is divided by 141? 75 What is the remainder when 71910 is divided by 10271? 13 Calculate the remainder when 302034 is divided by 12325. 6234 Calculate the remainder when 16232041 is divided by 905. 866 Calculate the remainder when 5818401 is divided by 4777. 15 What is the remainder when 2566433 is divided by 1283203? 27 What is the remainder when 21791142 is divided by 7263714? 0 Calculate the remainder when 119584409 is divided by 91988. 9 What is the remainder when 249105 is divided by 244? 225 What is the remainder when 996022 is divided by 1934? 12 Calculate the remainder when 123350 is divided by 2615. 445 Calculate the remainder when 178269 is divided by 178196. 73 What is the remainder when 307390 is divided by 76844? 14 Calculate the remainder when 9258877 is divided by 1088. 1085 What is the remainder when 10061030 is divided by 36061? 11 Calculate the remainder when 11871586 is divided by 2266. 12 Calculate the remainder when 32754787 is divided by 1826. 1825 Calculate the remainder when 342596360 is divided by 2559. 2558 What is the remainder when 309167 is divided by 1207? 175 What is the remainder when 105117 is divided by 2202? 1623 Calculate the remainder when 885031 is divided by 3512. 7 What is the remainder when 23207948 is divided by 3116? 3096 What is the remainder when 45781504 is divided by 3891? 3889 What is the remainder when 1239329 is divided by 158? 135 Calculate the remainder when 662020 is divided by 82728. 196 What is the remainder when 29074 is divided by 1675? 599 Calculate the remainder when 73721 is divided by 36834. 53 Calculate the remainder when 926 is divided by 920. 6 What is the remainder when 20611 is divided by 1874? 1871 Calculate the remainder when 29516 is divided by 7196. 732 What is the remainder when 137028761 is divided by 13? 12 Calculate the remainder when 4044423 is divided by 72. 39 What is the remainder when 451778615 is divided by 6653? 6650 What is the remainder when 288140 is divided by 1696? 1516 What is the remainder when 974436 is divided by 12016? 1140 What is the remainder when 23087 is divided by 2987? 2178 What is the remainder when 1981740 is divided by 1281? 33 What is the remainder when 42676 is divided by 37? 15 What is the remainder when 418202 is divided by 1408? 26 What is the remainder when 4412109 is divided by 630252? 345 Calculate the remainder when 4149346 is divided by 1383110. 16 Calculate the remainder when 2665025 is divided by 141. 125 What is the remainder when 55118254 is divided by 20? 14 What is the remainder when 46963895 is divided by 136127? 80 What is the remainder when 4307569 is divided by 490? 469 What is the remainder when 409086 is divided by 2510? 2466 Calculate the remainder when 7097562 is divided by 255. 147 Calculate the remainder when 51580420 is divided by 4689128. 12 Calculate the remainder when 1938824 is divided by 236. 84 Calculate the remainder when 129506358 is divided by 1001. 982 Calculate the remainder when 410168 is divided by 4022. 3946 Calculate the remainder when 11237400 is divided by 182. 174 Calculate the remainder when 92845109 is divided by 32. 21 Calculate the remainder when 28624 is divided by 28508. 116 Calculate the remainder when 89708 is divided by 12799. 115 What is the remainder when 58872 is divided by 264? 0 What is the remainder when 106101306 is divided by 1391? 1390 What is the remainder when 26961 is divided by 499? 15 Calculate the remainder when 132358 is divided by 1753. 883 Calculate the remainder when 493242 is divided by 900. 42 Calculate the remainder when 851697 is divided by 283363. 1608 Calculate the remainder when 21423 is divided by 2916. 1011 Calculate the remainder when 9128960 is divided by 277. 148 What is the remainder when 106252557 is divided by 228? 225 Calculate the remainder when 162384596 is divided by 56. 52 What is the remainder when 135850 is divided by 14948? 1318 Calculate the remainder when 176563 is divided by 7670. 153 What is the remainder when 1108369 is divided by 507? 67 What is the remainder when 6414 is divided by 25? 14 What is the remainder when 1553177 is divided by 388290? 17 Calculate the remainder when 6339722 is divided by 46. 2 What is the remainder when 247659 is divided by 735? 699 What is the remainder when 23753 is divided by 11774? 205 Calculate the remainder when 942990 is divided by 32. 14 Calculate the remainder when 1640835 is divided by 4309. 3415 Calculate the remainder when 43986 is divided by 2433. 192 What is the remainder when 20009592 is divided by 869? 867 Calculate the remainder when 2212329 is divided by 51449. 22 What is the remainder when 535983 is divided by 4544? 4335 Calculate the remainder when 437347 is divided by 3471. 1 What is the remainder when 473218 is divided by 452? 426 Calculate the remainder when 259289 is divided by 10748. 1337 What is the remainder wh
{ "pile_set_name": "DM Mathematics" }
third derivative of -1/30*o**5 + 0*o**3 - o**2 + 0*o + 0*o**4 + 0 + z*o**6. Solve m(r) = 0 for r. 0, 1 Let o(r) be the second derivative of 0*r**4 - 1/2*r**3 + 0 + 0*r**2 + 3*r + 3/10*r**5 - 1/14*r**7 + 0*r**6. Suppose o(u) = 0. What is u? -1, 0, 1 Let n be ((-39)/195)/(1/(-15)). Factor 6/7*b - 15/7*b**2 + 0 - 3/7*b**4 + 12/7*b**n. -3*b*(b - 2)*(b - 1)**2/7 Let j be 0/(-1)*(8 - 7). Let o(v) = v**2 + 1. Let c be o(-1). Factor 1/3*u**3 - 1/3*u + 1/3*u**4 - 1/3*u**c + j. u*(u - 1)*(u + 1)**2/3 Let f(r) be the second derivative of -r**8/20160 + r**7/3780 - r**4/6 + r. Let k(g) be the third derivative of f(g). Find q such that k(q) = 0. 0, 2 Let m(s) be the third derivative of 0*s + 2/105*s**7 + 0 + 7*s**2 - 1/12*s**4 + 1/60*s**6 + 0*s**3 - 1/15*s**5. What is v in m(v) = 0? -1, -1/2, 0, 1 Let j = 4 - -1. Factor v**j + 3 - 3 - v**4. v**4*(v - 1) Determine v, given that -6*v**5 - 2*v**2 + 0*v**5 - v**2 + 3*v**4 + 6*v**3 = 0. -1, 0, 1/2, 1 Suppose s - 6 = -2. Determine h, given that s - 2 - 3 + 3 - 2*h**2 = 0. -1, 1 Let x(m) = -m**2 - 10*m - 18. Let r be x(-7). Let d(i) be the first derivative of 3*i**4 - r*i**3 + 3 + 12*i - 6*i**2 - 3/5*i**5. What is l in d(l) = 0? -1, 1, 2 Let c(k) be the second derivative of -k**6/225 - k**5/75 - k**4/90 + 4*k. Factor c(w). -2*w**2*(w + 1)**2/15 Let i(w) = -w**2 + 6*w + 10. Let p be i(7). Factor -12*d + 22*d**3 - 2*d**2 - 17*d**p + 6*d**2 + d + 2. (d - 1)*(d + 2)*(5*d - 1) Let d(f) be the third derivative of f**6/120 - f**5/6 - f**4/24 + 13*f**3/6 + 2*f**2. Let n be d(10). Factor -x**n - 1/3*x**4 - 1/3*x - x**2 + 0. -x*(x + 1)**3/3 Let x(u) be the first derivative of 0*u + 0*u**4 + 3*u**2 + 3/5*u**5 - 3*u**3 - 2. Factor x(i). 3*i*(i - 1)**2*(i + 2) Let x(n) be the second derivative of n**7/2520 - n**6/360 + n**5/120 + n**4/6 - n. Let b(q) be the third derivative of x(q). Find s such that b(s) = 0. 1 Factor -6/5*a**4 + 2/5*a**5 + 2/5 + 4/5*a**2 - 6/5*a + 4/5*a**3. 2*(a - 1)**4*(a + 1)/5 Let b = -20 - -83/4. Factor -3/4*y**4 + 3/4*y**2 + 0 + b*y - 3/4*y**3. -3*y*(y - 1)*(y + 1)**2/4 Let w = 44/5 - 298/35. Solve 12/7*q - 18/7 - w*q**2 = 0 for q. 3 Suppose 3/4*y**2 - 3/4*y + 3/4*y**3 - 3/4 = 0. Calculate y. -1, 1 Let j(t) be the second derivative of t**8/1120 - t**7/840 - t**6/720 - t**3/2 + 3*t. Let k(o) be the second derivative of j(o). Factor k(y). y**2*(y - 1)*(3*y + 1)/2 Let z be (6/4)/((-3)/(-6)). Let k be 3 - (-1 - -2 - z). Factor a**3 + 0*a**3 - k*a**4 + 4*a**4. -a**3*(a - 1) Let g(s) be the third derivative of 0 + 5*s**2 + 0*s**5 - 1/24*s**4 + 0*s + 1/9*s**3 + 1/360*s**6. Factor g(i). (i - 1)**2*(i + 2)/3 Let u = 8 + -13. Let q(n) = -10*n**3 - 10*n**2 + 7. Let f(i) = -1 + 0*i**2 + 7*i**3 - 4 + 7*i**2. Let o(x) = u*q(x) - 7*f(x). Suppose o(b) = 0. What is b? -1, 0 Let f = -12 - -10. Let i be (-3)/f + (-1 - 0). Suppose i*w + 3/4*w**2 + 0 = 0. Calculate w. -2/3, 0 Let b(s) be the third derivative of 0*s + 0 - 5*s**2 + 0*s**3 - 1/840*s**8 - 1/100*s**6 + 4/525*s**7 + 0*s**4 + 0*s**5. Factor b(m). -2*m**3*(m - 3)*(m - 1)/5 Let a(g) = -g**2 + 5*g - 19. Let l = 13 + -9. Let i(q) = -q - 1. Let m(y) = l*a(y) - 12*i(y). Factor m(b). -4*(b - 4)**2 Let w be 2 + -5 - 1*-6. Let -h**3 + w*h**3 - 2*h + 5*h**3 - 3*h**3 - 2*h**5 = 0. What is h? -1, 0, 1 Determine a, given that -2/7 - 2/7*a + 10/7*a**2 - 6/7*a**3 = 0. -1/3, 1 Let h be (0/(-26))/(2*(-3)/(-3)). Factor 0 + 3/4*z**3 - 1/4*z**2 + h*z. z**2*(3*z - 1)/4 Let x(h) be the third derivative of -6*h**2 + 0*h + 1/56*h**4 + 0 - 1/420*h**5 - 1/21*h**3. Suppose x(o) = 0. Calculate o. 1, 2 Let d(c) be the second derivative of c**5/30 - c**3/3 + 2*c**2/3 - 15*c. Determine l, given that d(l) = 0. -2, 1 Let s = -79/4 + 20. Let v be (1/2)/(-1)*-8. Determine f so that -3/4*f**3 + 3/4*f**2 + 1/4*f**v - s*f + 0 = 0. 0, 1 Factor -64 + 29 - 4*p + 12*p - 4*p**2 + 47. -4*(p - 3)*(p + 1) Let x(z) = 4*z**3 - z**3 - 4*z**5 + 4*z - z + 2*z**4 + 0*z**5. Let s(f) = 3*f**5 - f**4 - 2*f**3 - 2*f. Let g(y) = 3*s(y) + 2*x(y). Factor g(q). q**4*(q + 1) Let k be 8*5/(-30)*(-9)/3. Factor -2/3*p**5 - 6*p - 28/3*p**3 + 32/3*p**2 + 4*p**k + 4/3. -2*(p - 2)*(p - 1)**4/3 Factor 3/2*m**3 + 1/2*m**4 - 3/2*m - 1 + 1/2*m**2. (m - 1)*(m + 1)**2*(m + 2)/2 Let d(s) be the first derivative of 5*s**9/3024 - s**8/840 - s**7/168 + s**6/180 - s**3 + 3. Let y(m) be the third derivative of d(m). Factor y(k). k**2*(k - 1)*(k + 1)*(5*k - 2) Determine g, given that -44/3*g**2 - 2/3 + 16/3*g + 8/3*g**5 - 34/3*g**4 + 56/3*g**3 = 0. 1/4, 1 Let w(i) be the first derivative of 16*i**5/5 + 17*i**4/2 + 20*i**3/3 + i**2 + 4. Factor w(o). 2*o*(o + 1)**2*(8*o + 1) Suppose -3*v + 6*v = 3. Find a, given that a + 2*a + v + 7*a**3 + 2*a**4 + 2*a + 9*a**2 = 0. -1, -1/2 Factor 0 + 8/11*x**2 + 2/11*x**5 + 2/11*x + 8/11*x**4 + 12/11*x**3. 2*x*(x + 1)**4/11 Let m(l) = -19*l**3 + 43*l**2 + 19*l - 30. Let z(o) = 9*o**3 - 21*o**2 - 9*o + 15. Let j(y) = 6*m(y) + 13*z(y). Suppose j(s) = 0. What is s? -1, 1, 5 Factor 2*i**2 + 0*i - i - 5*i + 2*i. 2*i*(i - 2) Factor -45*r**2 - r + 46*r**2 + r**3 - r. r*(r - 1)*(r + 2) Let w(i) = -8*i**2 - 6*i - 7. Let p(z) = z**2 + z + 1. Let h(g) = 36*p(g) + 4*w(g). Factor h(u). 4*(u + 1)*(u + 2) Let r(o) be the third derivative of -o**5/210 - o**4/42 - 28*o**2. Suppose r(z) = 0. What is z? -2, 0 Let a(y) = -y**2 - y. Let c(d) = 7*d**2 + 4*d + 1. Let q = -23 + 17. Let z(g) = q*a(g) - c(g). Determine k, given that z(k) = 0. 1 Suppose -26 = -4*s + l, s + 0*l - 12 = 3*l. Solve s + 3*i**2 - 2*i**2 + 8*i + 10 = 0 for i. -4 Solve -3*d**3 - 6*d**2 - 11*d - 17 + 3*d**2 + 26*d + 8 = 0 for d. -3, 1 Let o(k) = -k**2 - 7*k - 10. Let h be o(-3). Factor -8/3*v + 2/3*v**h + 8/3. 2*(v - 2)**2/3 Let m(i) = -i**2 - i**3 - 1 + 0 + 3 + 3*i**2. Let c be m(2). Factor 1/2*g - 1/4 - 1/4*g**c. -(g - 1)**2/4 Let t(c) be the first derivative of -c**6/1260 + c**5/420 - c**3 + 7. Let p(l) be the third derivative of t(l). Determine r so that p(r) = 0. 0, 1 Find u such that -11 + 3*u**2 + 11 - 18*u = 0. 0, 6 Suppose -3*b - 2*g + 22 = 0, -2*b + 14 = 2*g - g. Factor -b*f + 2*f + 4*f**2 + f**2 - 2*f**3 + f**2. -2*f*(f - 2)*(f - 1) Let f(x) = x**3 + 4*x**2 + x - 2. Let n be f(-3). Let c be (4 + -7)/((-6)/n). Suppose -3*h**5 + c*h**4 - 2*h**5 + 3*h**5 = 0. Calculate h. 0, 1 Let x be (-12)/(-54)*(2 - -1). Let t(o) be the first derivative of -2/3*o + 1 - 2/9*o**3 - x*o**2. What is k in t(k) = 0? -1 Let c = -5 + 7. Factor -j**3 + 2*j**4 + c*j**2 - 2*j**3 + 7*j**3. 2*j**2*(j + 1)**2 Let y(l) be the second derivative of l**7/420 + l**6/45 + l**5/15 + l**4/3 - 4*l. Let t(j) be the third derivative of y(j). Determine u, given that t(u) = 0. -2, -2/3 Let b = 17 + -11. Let r be 4/b - (-4)/(-24). What is l in -2*l + r*l**2 + 2 = 0? 2 Let a = 90 - 88. Factor -12*x + 27*x**4 + 12*x**3 - 77/3*x**a - 4/3. (x - 1)*(x + 1)*(9*x + 2)**2/3 Find p, given that -1/4*p**3 - 1/4*p**4 - 3/4*p + 0 + 5/4*p**2 = 0. -3, 0, 1 Let a(w) = -w**3 + 17*w**2 + w - 17. Let p(j) = -3*j**3 + 60*j**2 + 3*j - 60. Let z(v) = -18*a(v) + 5*p(v). Suppose z(f) = 0. Calculate f. -1, 1, 2 Let i(b) = -b**2 - 8*b - 15. Let r be i(-5). Let x(y) be the second derivative of -1/36*y**4 + r*y**3 + 1/12*y**5 + 0 - 2/45*y**6 + 2*y + 0*y**2. Factor x(m). -m**2*(m - 1)*(4*m - 1)/3 Let f(g) = -6*g**2 + 4*g. Let j(t) = -t**2. Let h(a) = -f(a) + 2*j(a). Factor h(d). 4*d*(d - 1) Factor -1/5*i**2 + 1/5*i + 2/5. -(i - 2)*(i + 1)/5 Let g(x) be the third derivative of -x**7/105 + x**6/60 - 5*x**2. Factor g(j). -2*j**3*(j - 1) Factor 0 + 3/2*p**3 + p**2 + 1/4*p + 1/4*p**5 + p**4. p*(p + 1)**4/4 Factor 1/2*d**2 + 3/2 + 2*d. (d + 1)*(d + 3)/2 Suppose -2*g + 0*g = 0. Let r(i) be the third derivative of 0*i + 2*i**2 + 1/30*i**5 + g*i**3 + 0 + 1/12*i**4. Solve r(b) = 0 for b. -1, 0 Factor 2/3*u**4 + 0*u**2 + 0 + 0*u - 8/3*u**3. 2*u**3*(u - 4)/3 Let y(n) be the third derivative of 1/36*n**4 + 0*n**3 - 2*n**2 + 0 + 1/180*n**5 + 0*n. Factor y(m). m*(m + 2)/3 Let f(z) be the third derivative of -z**8/90720 - z**7/7560 - z**6/1620 + z**5/30 + z**2. Let t(m) be the third derivative of f(m). Factor t(l). -2*(l + 1)*(l + 2)/9 What is t in 10*t - 2*t**2 + 0*t - 26*t = 0? -8, 0 Let m(u) be the third derivative of 5/24*u**4 + 0*u**3 + 1/12*u**6 - 11*u**2 + 0 - 5/24*u**5 + 0*u - 1/84*u**7. Factor m(j). -5*j*(j - 2)*(j - 1)**2/2 D
{ "pile_set_name": "DM Mathematics" }
z(a) be the first derivative of 1/2*a**2 - 3*a - 2. Let o be z(3). Let c(r) = r**2 - r - 7. Give c(o). -7 Let p be (-1 + 10/6)*6. Let j(u) be the third derivative of u**2 - 1/60*u**5 + 0*u - 5/6*u**3 + 1/6*u**4 + 0. Calculate j(p). -5 Suppose -h = m + 1, m + 3*h = -2*h + 15. Let a(w) = -w**2 - 9*w + 6. Give a(m). 26 Let y(s) be the first derivative of s**3/3 + 3*s**2 + 6*s - 6. Determine y(-5). 1 Let k(o) = -o**2 + 6*o + 1. Let f be (-3)/(-6)*(-1 - -1). Suppose -t + 6*t - 4 = -q, -3*t = f. Calculate k(q). 9 Let o(g) = -7*g. Let x(l) = -1 + 1 - 6*l + 1. Let z be (9/(-6))/(6/(-20)). Let u(k) = z*x(k) - 4*o(k). What is u(4)? -3 Let g(m) be the third derivative of -m**6/120 + 7*m**5/60 - 7*m**3/6 - 25*m**2. Calculate g(7). -7 Let k(p) be the first derivative of 2*p**2 - 1. Let y be 5/(5/(-2)) + 4. Calculate k(y). 8 Let y(g) = g + 13. Let f(d) = -3*d + 10. Let j be f(7). Let z be y(j). Suppose 7 = 3*t - z. Let w(k) = k**3 - 4*k**2 + k + 3. Calculate w(t). -3 Let n(v) = -3*v - 66 + 32 + 5*v**2 + v + 33. What is n(-1)? 6 Let i(t) be the first derivative of -t**4/2 + t**3/3 - t**2/2 - 17. Give i(1). -2 Let f be ((-5)/3)/((-1)/(-1 - 2)). Let g(p) = p**3 + 5*p**2 - p - 4. Determine g(f). 1 Suppose 60 - 85 = 5*r. Let n(g) = g - 1. Let m(k) = -k**2 - 8*k + 9. Suppose 0*h - 16 = -4*h. Let i(u) = h*n(u) + m(u). Determine i(r). 0 Let x(v) = -v**2 + v + 3. Suppose 3*m + 12 = 0, -2*t - 2*m + 14 = -3*m. Suppose 4*z - 37 = -t*p, 2*z + 4*p + 7 = 33. Calculate x(z). -3 Suppose i = -0*i - 4. Let g(k) = -k**2 - 4*k + 3. Calculate g(i). 3 Let g(o) be the first derivative of o**3/3 - o**2/2 - 5*o - 6. Calculate g(0). -5 Suppose 2*t - 1 = 7. Let f(d) be the first derivative of t*d - 1/3*d**3 + 1 + 0*d**2. Calculate f(3). -5 Let j(v) be the first derivative of -v**4/4 + 2*v**3 - v**2/2 + v + 34. Determine j(6). -5 Let v(w) = 6*w - 19. Let q(g) = -4*g + 13. Let j(u) = -7*q(u) - 5*v(u). Calculate j(5). -6 Let p(a) = -a - 2. Let h be p(-7). Let x(i) = -2*i + 1. Let q(l) = 1. Let m(d) = h*q(d) - x(d). Calculate m(-5). -6 Let y(r) be the first derivative of r**4/4 + 2*r**3/3 - r**2 - r - 3. Suppose -3 - 3 = -3*u. Give y(u). 11 Let r(p) be the second derivative of p**4/12 - p**3 + 7*p**2/2 + 12*p. What is r(5)? 2 Let v(q) be the first derivative of -q**4/4 + 8*q**3/3 - 9*q**2/2 + 9*q + 2. Calculate v(7). -5 Let t(a) = a**2 - 4*a + 2. Let v be (-4)/(-24) - 46/(-12). Give t(v). 2 Let o(l) = l + 9. Let p be o(-10). Let c be (p - (-3)/2)*0. Let n(q) = q - 8. Give n(c). -8 Let g(n) = 11*n**2 + 5 - 16*n**2 + 4*n**2 - 5*n. What is g(-7)? -9 Suppose -4*l = l. Let y = -6 - -7. Let d(b) = -4 - 3 + 6 - b - y. Give d(l). -2 Let d(v) be the third derivative of v**5/60 + 7*v**4/24 + v**3 - 6*v**2. Suppose 4*j = -2*b + 2 - 30, 0 = 3*b + 6. What is d(j)? 0 Let m = 2/9 + -1/18. Let r(c) be the third derivative of -1/12*c**4 + c**2 - m*c**3 + 0 + 0*c. Determine r(-5). 9 Let v = -7 - -7. Suppose v = s + s + 10. Let t(a) = a + 3. Determine t(s). -2 Let g(b) = -b**2 + 6*b - 4. Suppose -4*z + j = -15, -j + 3 = -2*z + 4*z. Suppose 3*t - z*y - 9 = 0, 2*y - 16 = -5*t + 27. Suppose x + 3 - t = 0. Give g(x). 4 Let q(r) = -6*r + 10. Let x(m) = 2*m - 3. Let l(b) = 3*q(b) + 10*x(b). Give l(4). 8 Let x = 5 + -2. Let d be ((x - -5)/(-2))/2. Let u(o) be the third derivative of -o**4/24 - o**3/6 + 2*o**2. Give u(d). 1 Let c(r) = r**2 - 2*r - 5. Let h(t) = -t**3 + 6*t**2 + 3*t - 13. Let w be h(6). What is c(w)? 10 Let r(u) = -6*u**2 - 2*u**2 + 6 + 2*u + 0*u**2 + 7*u**2. Determine r(-4). -18 Suppose -5*i = -10 - 20. Let h(w) = -i + 2*w + 3 - 4*w. Let y(x) = x**3 + 9*x**2 + 9*x + 12. Let z be y(-8). Give h(z). -11 Let r(m) = m + 10. Suppose -3*n + 14 = -0*q - 2*q, -q = 3*n - 2. Suppose -n*u + 0*u = 0. Give r(u). 10 Let o(u) = -u**3 + 2*u**2 - u - 1. Suppose 2*g - 4 = -4*h, -10 = -8*g + 3*g - 5*h. Calculate o(g). -3 Let h(b) = b**2 + 2*b - 3. Let y be (-14)/(-8) - (-3)/12. Suppose -v = 1 + y. What is h(v)? 0 Let d(r) = -r**2 + 7*r + 8. Suppose 0 = -4*s + 6 + 6. Suppose -24 = -0*f - s*f. Let u be d(f). Let t(a) = -a + 8. Give t(u). 8 Suppose 36 = -7*y - 2*y. Let r(t) = -t**2 - 5*t + 4. Calculate r(y). 8 Let m(a) = 5*a**2 - a + 1. Let r be m(1). Let i(v) = 3 + v**3 - 35*v**2 - 3*v + 14*v**2 + 17*v**2. Give i(r). 13 Let t = 5 - 1. Suppose t*p = -2 - 2. Let q be (-3)/((-6)/8)*p. Let l(b) = b**3 + 5*b**2 + 5*b + 6. What is l(q)? 2 Let r(o) = 6*o**2 - 5*o + 1. Let l(x) be the second derivative of -5*x**4/12 + 5*x**3/6 + 7*x. Let p(t) = 5*l(t) + 4*r(t). Let w = -2 + 7. Give p(w). 4 Let c = -48 - -50. Let p(x) = 3*x - 2. Let h(z) = -3*z + 1. Let v(m) = 4*h(m) + 3*p(m). Determine v(c). -8 Let t(a) be the third derivative of a**6/120 - a**5/10 - a**4/12 + 5*a**3/6 + a**2. Calculate t(6). -7 Suppose -5*y + 20 = -0*y. Suppose -4*l - 2 = q - 4*q, y*l = -5*q + 46. Let g(d) = -4*d + 0 - 1 + d**2 + 3*d - q*d**3. Calculate g(-1). 7 Let f(z) = z**3 + 4*z**2 + 4*z. Suppose 3*r = g + 12, -4*g + 4*r - 27 = -r. What is f(g)? -3 Let l(k) = 714*k - 85. Let z(c) = 17*c - 2. Let v(b) = 2*l(b) - 85*z(b). Determine v(1). -17 Let j(m) = -5*m**2 + 5*m - 2. Suppose 5*a = -8 - 12. Let z(f) = -6*f**2 + 5*f - 2. Let r(d) = a*z(d) + 5*j(d). Give r(5). -2 Let r(p) = p**2 - 5. Let d be 15/10 + (-11)/2. Determine r(d). 11 Let q(p) = -p + 1. Let z = 16 - 28. Let s = 13 + z. What is q(s)? 0 Let f(o) = o + 2. Let n(m) = -m - 2. Let l(u) = 3*f(u) + 2*n(u). Let y be l(-3). Let s(v) = -4*v**2 - 1. What is s(y)? -5 Let a(h) = -3 + 1 + h - h**3 + 3 + 3*h**2. Suppose -12*x = -8*x - 40. Let c = 13 - x. Give a(c). 4 Let z(j) = j**2 - 15 + 0*j + 1 + 10*j + 8. Calculate z(-8). -22 Let f(b) = 2*b**2 + 16*b - 12. Let t(j) = j**2 + 8*j - 6. Let d(g) = -2*f(g) + 5*t(g). Determine d(-5). -21 Suppose -2*s = 2*h - 2, 0*s + 2 = 2*h - 3*s. Let t(o) = -4*o**2 - o - 1. Let z be t(h). Let y(b) = b - 5. Give y(z). -11 Let k(j) = -9 + 13 + 5*j - 4*j. What is k(-7)? -3 Let i be 2/9 + 2/(-9). Let f(p) = -p. Let c(a) = -3*a + 1. Let r(b) = c(b) - 5*f(b). Let u(n) = n + 1. Let g(l) = -2*r(l) + 5*u(l). Give g(i). 3 Let t(n) be the third derivative of 1/120*n**6 + 0*n + 0*n**5 + 0*n**3 - 2*n**2 - 1/24*n**4 + 0. Suppose -5*i - 23 = -3*y, -3*i = 5*y - i + 3. Determine t(y). 0 Let t(g) be the third derivative of -g**4/24 - 5*g**3/2 + 20*g**2. Give t(-9). -6 Let z(i) = -5*i - 12. Let f(b) = -3*b - 8. Let q = 12 - 20. Let y(x) = q*f(x) + 5*z(x). Calculate y(0). 4 Let h(b) = -b**3 + 6*b**2 - 4*b - 7. Suppose u = -2*g - 0*u + 14, 35 = 5*g - 3*u. Suppose g = -s + 4*d, -d - d + 11 = s. What is h(s)? -2 Let f(q) be the first derivative of -q**2/2 + 2*q + 6. Determine f(4). -2 Let g(m) = -3*m - 3 + 4 - m**3 - 5 + 5*m**2. Let t be g(4). Let u(v) = -6 - v**2 + 2*v**2 + 3*v - 2*v. Determine u(t). -6 Let f(n) = -n**3 + 3*n**2 + 4*n + 4. Let k be 24/9*6/4. Suppose 87 = 3*w - k*q - q, 5*w + 4*q = 108. Let t be w/15*(-5)/(-2). What is f(t)? 4 Let i(b) = -b**3 + b - 5. Let n be (-1)/(-3)*(-4 + 4). Let q = n + 0. Let z be i(q). Let x(a) = a - 1. What is x(z)? -6 Let z(l) = -2*l + 6. Let w(u) = 2*u - 6. Let f(b) = -4*w(b) - 5*z(b). Let s be 6 - (0 + 1) - 0. Calculate f(s). 4 Suppose -4*v - v = 0. Let z(b) = 4*b - 3*b - 3*b + 10. Let s(n) = -5*n + 30. Let j(t) = 3*s(t) - 8*z(t). What is j(v)? 10 Let h(k) = 19*k**3 + 2*k**2 - 1. Suppose 5*i = -0 + 5. Determine h(i). 20 Let s(i) = 6*i**2 + 2*i - 1. Let n(w) be the third derivative of w**5/60 + w**4/12 + w**3/6 + 6*w**2. Let m be n(-2). Calculate s(m). 7 Let n(x) = 9*x**3 + 3*x**2 + 7*x - 4. Let q(u) = -5*u**3 - u**2 - 4*u + 3. Let o(t) = 6*n(t) + 11*q(t). Give o(7). -5 Let f(w) = -5*w - 4*w + 3*w + 0*w. Determine f(-1). 6 Let c(q) = -3*q**3 - 4*q**2 + 4*q + 6. Let x(u) = 2*u**3 + 4*u**2 - 3*u - 5. Let r(i) = 3*c(i) + 4*x(i). Let y be 2/(2/(3 + 1)). Determine r(y). -2 Let o(y) = 2*y - 8. Let c(m) = 10*m - 41. Let x(r) = -2*c(r) + 11*o(r). Let j be 0/(-1 - (-2 + 3)). Let i = 4 - j. Calculate x(i). 2 Let g(o) be the first derivative of -o**2/2 - 4*o + 1. Let l(y) = 3. Let a(k) = -5*k + 5. Let h be a(2). Let t(w) = h*l(w) - 4*g(w). Determine t(-2). -7 Let d(b) = 2*b**3 + 5*b**2 + 5*b - 4. Let l(s) = -5*s**3 - 10*s**2 - 11*s + 7. Let v be (1 - 0/(-3))*7. Let m(w) = v*d(w) + 3*l(w). Determine m(5). 3 Let n(a) = a**3 + 3*a**2 - 3*a + 3. Let u be ((-32)/10 +
{ "pile_set_name": "DM Mathematics" }
0 = 5*j - 2*c for j. -8 Solve 2*d - 3*t + 25 - 10 = 0, 5*d - 4*t = -27 for d. -3 Solve k + 14 = -2*z, 1107 = -k - 4*z + 1077 for k. 2 Solve 1894*r = 4*t + 1897*r + 15, 0 = 3*t + 3*r + 15 for t. 0 Solve 0 = -14*p - 2*t, -4*p + 34*t = 32*t for p. 0 Solve 2*r - 26*v + 31*v = 15, 0 = -2*r + 4*v - 30 for r. -5 Solve 4*o + 13272*a - 13276*a = 48, 0 = -a + 4 for o. 16 Solve 0 = 6*p - 3*l - 33, -4104*p = -4103*p + 2*l - 18 for p. 8 Solve 15 = 5*v, 2288*l + v = 2286*l + 7 for l. 2 Solve -36 = 3*d - 5*b, 3*d - 3*b + 28 = -2 for d. -7 Solve -7 = -4*h - w, -3 + 43 = 5*h - 5*w for h. 3 Solve -378*k + 376*k + d = 11, -5 = 2*k + 5*d for k. -5 Solve 53*n = 2*y + 251, 3 = 50*y - 46*y - 5*n for y. 7 Solve 0*x - 3*x = 0, -677*x + 681*x = u - 4 for u. 4 Solve -r - q = -3, -2*r - 35 = 3*q - 39 for r. 5 Solve g = 312*q - 311*q + 2, -2*g + 24 = 2*q for g. 7 Solve -2*m - 72*t + 73*t + 12 = 0, 0 = t + 4 for m. 4 Solve 3*p - 4*s + 64 = 0, 4*p + 378*s + 60 = 377*s for p. -16 Solve 5*f - 3*o = 523 - 513, 0 = 2*f + 3*o + 17 for f. -1 Solve -11*m + 5*n = -3*m - 152 + 45, -m + 16 = 2*n for m. 14 Solve 3 = -5*l + 4*p, -p - 13 = -5*l - 25 for l. -3 Solve -4 = 4*c - 3*t, -9*t + 29803 = -2*c + 29831 for c. -4 Solve o + 5 = -5*b + 27, 8 = 2*b for o. 2 Solve -391*m + 387*m - 5*p = 31, m - p = -10 for m. -9 Solve -2*l + 4*c = -26, -2*l + 3*l - 4*c - 21 = 0 for l. 5 Solve 3*f + 2*r + 8 = 0, 5*f + 1512*r + 14 = 1508*r for f. -2 Solve -2*w + 4*g = -3*w + 4, 3*w - 21 = -48*g + 27 for w. 0 Solve -2*q = 3*a - 1, 35 = -4959*a + 4954*a + 4*q for a. -3 Solve -3*r - 5*i = 19, 59*r - i - 3 = 60*r for r. 2 Solve 3*i - 1160 = -7*r - 1129, 0 = 5*i + 3*r - 17 for i. 1 Solve -31*n + 28*n = 2*q - 11, 2*n - 4*q = -14 for n. 1 Solve k + 9*l + 989 = 1016, 0 = k - 4*l + 12 for k. 0 Solve 0 = -212*m + 215*m + 2*v - 8 - 2, 15 = 3*v for m. 0 Solve 0 = p + 5*g - 50, g + 2 = -5*p + 36 for p. 5 Solve -z = -3*t + 6, -1767*t = -1772*t - z + 10 for t. 2 Solve -n + 22 = x, 2*n + 19 = -231*x + 232*x for x. 21 Solve 3*j - 5*k = 6*j - 26, 3*j + 9*k + 5 - 59 = 0 for j. -3 Solve -2*c - 13 = 5*k, 0 = -86*k + 89*k + 4*c + 19 for k. -1 Solve 0 = -z - w + 65 - 64, -z = 4*w - 16 for z. -4 Solve -2*j + 137 = 49*o, 2*o - 14*j = -19*j - 19 for o. 3 Solve -16*w - 38 = 3*v - 13*w - 11, 5*v + 27 = 4*w for v. -7 Solve 55 = -3*c + 5*p, -3*p - 355 = 15*c - 304 for c. -5 Solve 0 = -u - 3*c + 11, 5*u + 5*c - 1214 + 1209 = 0 for u. -4 Solve -2*b - 12 = 4*h, 1384*b - 1383*b = 3*h + 14 for b. 2 Solve 2*h + 3*l - 7 = 0, -22997*h + 5*l = -23002*h + 5 for h. -4 Solve 67*q - 2 = -4*c + 64*q, -4*c + 50 = -5*q for c. 5 Solve -2*r = 3*n - 24, 16 = -15*n + 17*n - 2*r for n. 8 Solve 0 = 3*d + 4*k + 9, -4*d - 1797 + 1795 = 2*k for d. 1 Solve 91*u = -2*w + 86*u + 37, w - 2*u = 5 for w. 11 Solve 0 = -j - z - 20986 + 20989, 4*z - 21 = -j for j. -3 Solve 4*l + 4 = 4*h, 17*h + 66 = -4*l - 22 for h. -4 Solve -443*a - 4*u + 74 = -441*a, 5*a + 5*u - 160 = 0 for a. 27 Solve -20 + 93 = -b - 5*a, -4*a - 65 = 3*b for b. -3 Solve -39*o = 2*b - 32*o - 3, 39 = 3*b - o for b. 12 Solve -4*f + 3*l = l + 22, 16*l + 14 = f + 4 for f. -6 Solve -2*i + 9*t = 12, 217*i - 218*i + 4*t = 5 for i. 3 Solve -2*a = -3*c - 1, 2*a = c + 38 - 43 for c. -3 Solve -5*h + 5*b + 61 - 66 = 0, 2*h = -2*b + 10 for h. 2 Solve -234*h - 3*c = -237*h + 3, -5*c + 20 = 0 for h. 5 Solve 58 = 2*o + 4*q, 2*q - 76 = 20*o + q for o. -3 Solve 5*g + 4637*x - 4636*x - 28 = 0, -5*g + 16 = -3*x for g. 5 Solve -2*n = 2*d - 18, d - 32 = 5*n - 41 for n. 3 Solve 20 = -4*j - 329*i + 331*i, -16 = 4*j - 3*i for j. -7 Solve -5*c - 3*o = -40, 153*c - 151*c + 5*o - 92 = 0 for c. -4 Solve 4*v - 16 = -85*d + 81*d, 0 = -3*v + 15 for d. -1 Solve -5*k = -3*s + 36, 9*k - 12 = 42*s + 41*s - 84*s for k. 0 Solve 5*w = -5*y, 21*y = w + y + 84 for w. -4 Solve -11 = -2*y - o, -7*y - 20 = -o - 45 for y. 4 Solve -23*q - 5*b = -33*q + 80, 5*q = 4*b + 49 for q. 5 Solve -2*b - 4*x - 9 = -23, b - 3*x - 7 = 0 for b. 7 Solve -2*f + 4*w - 21 = -1, 2*f - 2*w + 18 = 0 for f. -8 Solve 26*m - t = 21*m - 7, -3*m + t - 5 = 0 for m. -1 Solve -2*c = 5*v - 0*c + 10, 2*v + 4 = -5*c for v. -2 Solve a - 2*k + 2 = 0, -318*a = 311*a - 631*a + 3*k - 2 for a. 2 Solve 15 = -3*g + 6*w, 0*g + 3*w = 5*g + 25 for g. -5 Solve -3*c - 6 = -22*w + 25*w, c = 5*w + 16 for w. -3 Solve 2*p = 5*y + 16, -8*y - 370 + 342 = -2*p for y. -4 Solve -18 = -2*w - y, 0 = 4*w - 4*y - 52 + 40 for w. 7 Solve 20*a - 110 = 5*s, -10001*a + 3*s = -9999*a - 26 for a. 4 Solve -4*r - 6 = -2*y, 32*r + 6*y - 31 = 31*r for r. 1 Solve 4*r - z = -17, -4*r - 26 = 735*z - 733*z for r. -5 Solve o = -36*f + 39*f + 12, 0 = -o - 5*f - 12 for o. 3 Solve 71*f - 69*f + 69 = -13*p, -3*f = 2*p + 16 for p. -5 Solve -96*j + 4*b - 10 = -106*j, 6*b - 30 = 0 for j. -1 Solve 0 = 4*s + 4, 0 = 5*z - 3*s - 566 + 538 for z. 5 Solve -i + w = -w, -5*i + 2*w = -3*w for i. 0 Solve -5*j - 2*l - 24 = 0, -5*j - 4*l + 9*l = 10 for j. -4 Solve -3*y - 11*k = -13*k - 8, 0 = 4*y + 3*k - 22 for y. 4 Solve 24*s = -7*a + 10*s + 12*s - 2, -a + 3*s = -3 for a. 0 Solve 11*n = 406*x - 410*x - 40, -50 = 5*x for n. 0 Solve y - 63*i - 2 = -65*i, 3*y - 5*i = 6 for y. 2 Solve -3*c - 3 = 0, 192*n + 2*c - 24 = 187*n - 51 for n. -5 Solve -5*t = 4*m - 16, -4*t - 249*m + 11 = -246*m for t. -4 Solve -7 = -p - 886*f + 896*f, -2*p + 5*f = 1 for p. -3 Solve -5*d = -4*g - 77 + 47, -2*g - 14 = -2*d for g. -5 Solve 2*v + 2*d = -14, -50*d - 37 = 4*v - 49*d for v. -10 Solve 2*w + 0*w = 8, 13420*s - 13421*s + 18 = 5*w for s. -2 Solve -5*o + 4*d - 17 = 0, -2*o + 26712*d = 26713*d + 12 for o. -5 Solve -5*m = 3*y - 52, 27*y - 104 = -11*m + 23*y for m. 8 Solve -165*f = -160*f - 4*v + 7, 5*v = 8*f + 7 for f. 1 Solve 0 = -98*c + 103*c + 5*z - 40, -2*c + 11 = -3*z for c. 7 Solve -3*p + 4*o - 53 + 54 = 0, 0 = 5*p + 2*o + 7 for p. -1 Solve 13*r - 3*a = -1354 + 1409, 3*r - 16 = 4*a for r. 4 Solve 0 = 2*w + 5*p - 24, -10*w - 248*p = -243*p - 40 for w. 2 Solve -4*h + 35*j - 32 = 37*j, -17*h = j + 121 for h. -7 Solve 2*m + 2 = 4*q, -2*m + 298 - 291 = -q for q. 3 Solve 5*d = 87*z - 90*z + 7, -14 = -4*d - z for d. 5 Solve -16*z + 12*z - 12 = -4*d, z - 27 = -4*d for d. 6 Solve 2*z - 42 = -3*t, 4*z + 74 = 4*t + 18 for z. 0 Solve 4878*x + 4*f = 4881*x + 9*f + 10, -f = -5*x - 26 for x. -5 Solve -2*j + 7 = 3*n + 15, n - 14*j = -15*j - 1 for n. -6 Solve 3*u - 4*a = 94 - 90, -a = -4*u + 14 for u. 4 Solve 0 = 3*z - 3*t + 39, -46*z + 49*z - 4*t = -49 for z. -3 Solve 20 = -9857*f + 9853*f, d - 17 = 3*f for d. 2 Solve 0 = -n + 13696*g - 13692*g - 4, -5*n - 3*g = 20 for n. -4 Solve -4*d + 247*t - 24 = 242*t, 5*t = 3*d + 18 for d. -6 Solve v - 17*u - 3 = -18*u, 2*v = u for v. 1 Solve t - 3 = 0, 4*p - 9 = 121*t - 120*t for p. 3 Solve 0 = v + i + 10, 6*v - 5*v = -3*v + 24*i + 100 for v. -5 Solve -7 = -4*f - 15, 5*v - 3*f = 3*v - 4 for v. -5 Solve -8*n - 2*x + 68 - 124 = 0, -3*x - 24 = 0 for n. -5 Solve 4*h - 22 = 2*m, -43*h - 5*m = -48*h + 30 for h. 5 Solve 85 = 4*s + 3*x, -5152*s - 2*x = -5148*s - 54 for s. -2 Solve 31 = 3*o + 4*p - 9*p, -7*o + 11 = -4*p for o. -3 Solve 32 = 4*j + 4*o, 2 = -j + 33*o - 29*o for j. 6 Solve -4*d = 2*h + 16 - 24, -5*h + 5 = -5*d for h. 2 Solve -5*d + 5*k + 318 = 298, 2 = -d + 3*k for d. 7 Solve 0 = 5*w + 2*z + 10, 65*w = 59*w - 4*z - 20 for w. 0 Solve 3*q = 18*i - 13*i + 15, 0 = 2*i - 5*q + 6 for i. -3 Solve 2*a - 789 + 760 = -3*o, 0 = -3*a - o + 12 for a. 1 Solve -3*j = -1940*u + 1938*u + 3, -u = j + 11 for j. -5 Solve 10*h - 25 = 5*h + 10*h, 4*d - 3*h = 23 for d. 2 Solve 0 = -x + r, -5*x - 4*r + 24 + 3 = 0 for x. 3 Solve 0 = 3*h - 4*s - 1364 + 1304, 0 = -h - 5*s - 75 for h. 0 Solve 5*t - 29 = w, w - 1054 = -3*t - 1043 for w. -4 Solve 4*r + 58 = -31*d + 34*d, 2*r = 2*d - 38 for r. -1 Solve -4*n + 714 - 685 = -3*h, -2*h + 5*n = 45 for h. 5 Solve -9*y - 84 = 3*n, 0 = 22*n - 18*n - 4*y - 64 for n. 5 Solve 239*v = 238*v + 4*f + 4, 4 = -4*v - 4*f for v. 0 Solve t + 3*g + 8 = 0, 4*t + 5*g - 73 = -84 for t. 1 Solve -48*n - 4*f - 16 = -51*n, -3*n - 5*f = -7 for n. 4 Solve -5*s + 3*b - 9*b - 35 = -3*b, 0 = 5*s - b + 35 for s. -7 Solve 0 = 2*v - 5*j + 26, -5*v + 177*j - 3 = 180*j for v. -3 Solve -52 = 101*i - 105*i - 4*w, 5*w = 65 for i. 0 Solve 2*w + 9 = 5*k - 2*k, -11*k + w + 14 = 0 for k. 1 Solve 4*u + 4*s = 16, 38*u - 19 = 35*u + 4*s for u. 5
{ "pile_set_name": "DM Mathematics" }
omposite? False Let v(i) = i**2 + 5*i + 4. Let m be v(-5). Suppose 2*n - 3*k - 45 = 17, -3*n = -m*k - 91. Is n composite? True Let o = -12 + 7. Let n be (-22)/o + (-6)/15. Suppose 639 = n*y + u, -3*y + 4*u + 503 = -0*u. Is y prime? False Let l be (-58)/7 + 4/14. Let m = l - -12. Is 386/10 + m/10 a composite number? True Suppose 0 = 5*y - 74 - 91. Let x = y - -4. Is x a prime number? True Suppose -2*q - 5 = -17. Suppose -q*k + 59 = -5*k + 2*d, -3*k = -3*d - 150. Is k a composite number? False Suppose 0 = -3*f - 3*f + 4710. Is f a prime number? False Let g = 6 - 2. Suppose g = -3*l + 16. Suppose 4*p - 2*k = -l*k + 164, p - k - 35 = 0. Is p a composite number? True Let h be (-8 + 2)/(-3) - -2. Suppose 3*n = h*n - 127. Is n a prime number? True Let d(i) = i**3 - 6*i**2 - 3. Let b be d(6). Let j = b + 14. Is j prime? True Let p = -25 + 15. Let a(k) = 6*k**2 + 9*k - 11. Is a(p) prime? True Let q = 5 - 1. Let d(b) = 2*b**3 - 4*b**2 + 2*b + 5. Is d(q) composite? True Let k be 10/(-3)*48/40. Let u(v) = -134*v + 5. Is u(k) prime? True Suppose -5*u + 10 = i, -4*u = -2*i - 7*u + 20. Let z = 15 - i. Suppose z*b + 4*y - 320 + 110 = 0, -5*y - 163 = -3*b. Is b composite? True Suppose -1 = -v + 1. Let m be (3 - (1 + 4))/v. Let r(j) = -67*j**3 + j**2 + 2*j + 1. Is r(m) a composite number? False Let a = -9 + 14. Suppose -a*u - 5*p - 180 = 0, -u + 207 = -6*u + 4*p. Let v = -6 - u. Is v a prime number? False Let i(s) = 85*s + 1. Let n be i(-2). Let u = -114 - n. Is u a prime number? False Suppose -92 = -2*j - 18. Is j composite? False Let j(f) = 2*f**2 + 5*f + 2. Let c be j(-3). Suppose -b + c*b - 932 = 0. Is b composite? False Suppose 3*i = 27 - 9. Suppose -2*u - u = -i. Suppose -u*s + 7*s = 285. Is s a prime number? False Suppose -s - 4*j = 4*s - 58, -3*j + 5 = s. Suppose -3*h + 76 = 5*g, -2*h + 3*h = -g + s. Suppose -2*p + 189 + g = 4*m, -5*m - 242 = -2*p. Is p composite? True Let i(x) = x**3 - 12*x**2 - 12*x + 6. Is i(13) composite? False Suppose 3018 = -3*s + 9*s. Is s composite? False Suppose 0 = 3*r - 4 + 10. Is (805/(-10))/(1/r) a composite number? True Suppose -3*h + v = -780, -3*h = -0*h - 2*v - 783. Is h a prime number? False Suppose 0 = -2*f + 20 - 8. Is f a composite number? True Suppose 3 = 2*o + 1. Suppose 7 - o = 3*g. Is g prime? True Suppose 3*f - 916 = -3*p + 1097, 2011 = 3*f + 4*p. Is f prime? True Let z = 40 - 58. Is 1494/10 + z/45 prime? True Let f(k) = k**3 - 3*k**2 - 3*k + 1. Let w be f(4). Suppose w*a - 401 = n + 3*n, 0 = 4*n + 16. Is a a prime number? False Let f(b) = 5*b**2 - 2*b - 3. Let c(y) = -4*y**3 + y**2 - 1. Let o be c(-1). Is f(o) prime? False Let h(d) = 8*d**2 + 7*d + 9. Suppose 0 = 4*w + 2*r + 12, -2*w + 6*r - 2*r - 16 = 0. Is h(w) a composite number? False Suppose 5*i + 21 + 19 = 0. Let a(g) = -3*g - 1 - 2*g - 8 + g. Is a(i) composite? False Let y = 0 + 1. Let u(r) = -r**2 + 3*r + 11. Let w be u(4). Is (-1 + 2 - y) + w a prime number? True Suppose 2*w = 5*r - 2069, 4*r + 2*w - 1281 = 367. Is r prime? False Let q = 108 + -36. Suppose 4*b = q + 4. Is b composite? False Let a = -6 + 13. Let m(o) = 7*o**2 - 6*o - 8. Is m(a) a composite number? False Let v be 2/(-7) - (-668)/(-14). Suppose -5*i - 4 = 106. Let l = i - v. Is l a composite number? True Suppose -5*z + 25 = 3*y, 2*y - 35 = -5*z - 3*y. Suppose 0 = v - 2*v + z. Suppose v*r - 2*s = -3*s + 223, 3*s + 552 = 5*r. Is r a prime number? False Let l = 2 + -2. Suppose 0 = -l*d - 3*d + f, 3*f - 12 = -3*d. Is (3 - 4)/(d/(-19)) prime? True Let c = -1 + 0. Let b be -5 + -1 + -1 + c. Is b/(-20) - (-73)/5 a composite number? True Let f be 6/(-4)*(1 - -1). Let s be (-52)/((18/(-15))/f). Let m = -77 - s. Is m prime? True Let n be (3/(-3))/((-1)/26). Is (4/(-6))/(n/(-21957)) composite? False Suppose -572 - 170 = -2*s. Is s a composite number? True Suppose 2*p - 3*a - 2*a - 1625 = 0, 4*p + 3*a - 3263 = 0. Is p prime? False Let l(q) = q**2 + 5*q + 5. Let j be l(-5). Suppose -29 = -2*z - z + j*g, -4 = g. Suppose 0 = -4*u + 2*s + 42, u + z = 2*u - 2*s. Is u a composite number? False Suppose 5*m + 21 = 3*w + 58, -4*m + 3*w + 32 = 0. Let a = -3 + m. Suppose -12 = -4*c + a*g, -5*c - g + 23 = 1. Is c prime? False Is 3*16/12 - -303 prime? True Let r(w) = 38*w - 5. Is r(6) a composite number? False Let x = -762 - -1315. Is x composite? True Suppose -5*r = -z + 336, -3*r - 702 = -3*z + 294. Is z a prime number? True Let r(p) = p**3 + 13*p**2 + 13*p + 15. Let q be r(-12). Suppose 2*n + q = -n, -22 = -x + 3*n. Is x composite? False Suppose -8*i + 3*i = -1005. Is i prime? False Suppose -5*j = 4*w - 3803, -6*w = -5*w + 2*j - 953. Is w a prime number? True Suppose -8 = -5*u + 3*j + 3, 0 = -5*j - 10. Suppose 4*w = 5*b - 22 - 15, b + 2*w + u = 0. Suppose 5 = -b*m, 5*m + 0 + 80 = 3*d. Is d a prime number? False Suppose 0 = -4*c - 0*c + 168. Is (88/(-12))/((-4)/c) composite? True Let z = -4 - -7. Suppose -d + z*d - 173 = -5*b, d - 103 = -3*b. Is b composite? True Let i be 268/6 - (-4)/(-6). Let y(x) = -x**2 + 5*x + 18. Let g be y(7). Suppose -2*k + g*n = -58, -n - 2*n = k - i. Is k composite? True Suppose -6*m - 177 = -9*m. Suppose 0 = -2*z + 2*g - 4, 5*z + 3*g = -13 - 29. Let r = m + z. Is r prime? True Let z(p) be the first derivative of -p**3/3 + 7*p**2/2 + 6*p - 2. Let g be z(7). Suppose 279 = 3*a + 3*o, 3*a - g*o - 251 = -2*o. Is a a prime number? True Let g(m) be the third derivative of m**6/120 - 3*m**5/20 + 5*m**4/24 - 5*m**3/3 + 3*m**2. Is g(9) a prime number? False Suppose 0 = 4*p - 563 - 369. Is p a composite number? False Let i(s) = 20*s**3 + s**2 - 2*s + 3. Suppose -4*d = 7 - 15. Is i(d) a composite number? False Let g be (-74)/(-14) + (-2)/7. Suppose 0 = -5*r + 791 + 594. Suppose 0 = 3*o + 2*j - r, g*o + 0*j - 420 = 5*j. Is o a composite number? False Is (-5743)/(-15) - (-10)/75 prime? True Let m(q) = q**3 + 7*q**2 - q - 2. Suppose 4*d - n + 24 = -0*n, 0 = -n - 4. Let a be m(d). Suppose -3*c - a*w = -34, 4*c + 2*w - 50 = -0*w. Is c composite? False Let t(j) = 2*j**3 - 4*j**2 - 5*j. Suppose 4*d = -5*g + 40, 4*g + g + 2*d - 30 = 0. Let s be t(g). Suppose -3*z = z - s. Is z prime? True Let y(l) be the third derivative of 0*l - 2*l**2 + 67/6*l**3 + 1/60*l**5 + 0*l**4 + 0 - 1/120*l**6. Is y(0) composite? False Let f = 34 - -345. Is f prime? True Suppose 4*b - 765 = -57. Let m = b + -51. Let r = m - 67. Is r composite? False Let f be 139 - (0 - (-2 + 2)). Suppose -h + 1495 = 4*j, 5*j + f = -2*h + 2010. Is j a prime number? True Suppose 3*z - 22 = -4*g, 5*z + 0*z - 4*g + 6 = 0. Suppose -z*r + 3*r = -188. Is (r/6)/((-12)/18) prime? True Is (1605 - 19)/(3 + -1) a prime number? False Suppose 2*z - 112 = -4*k, -4*k + 146 = 3*z - 9*k. Suppose 3*p - z = 7*p. Let q = 108 - p. Is q prime? False Let m(r) = r + 8. Let z be m(-7). Let h = -2 + 35. Is z/((1/h)/1) a prime number? False Let s = 23 - 35. Let l be (s/5)/(9/(-120)). Suppose -h + l = -1. Is h prime? False Let j(i) = -i + 13. Let y be j(11). Suppose -137 - 10 = -3*w + 3*p, -220 = -4*w - y*p. Is w composite? False Suppose a = -u + 2 - 4, -5*a = -4*u - 35. Suppose 4*y = -a*n + 3*y + 106, -2*n - 2*y + 76 = 0. Is n prime? False Suppose 7*o - 2*k + 1154 = 11*o, 5*o - 1426 = 3*k. Is o a composite number? True Let b = -1422 - -2603. Is b a composite number? False Let r(h) = 3*h**2 + 3*h - 9. Let m be r(7). Suppose 3*v + 4*z - m = 0, -5*z - 93 = 4*v - 304. Is v a composite number? True Let d(o) = -o**3 + 19*o**2 + 7*o - 4. Is d(11) composite? True Suppose 5*q + 200 = -x, -2*q - 6*x + 4*x - 80 = 0. Let w = 127 + q. Is w composite? True Let a(w) = 2*w**2 - 3*w + 3. Let q be a(2). Let d = q + -12. Let k(v) = -6*v - 9. Is k(d) composite? True Suppose -w + 2*y = -113, 0*w - 5*y + 253 = 2*w. Is w prime? False Let o = -21 + 212. Is o a composite number? False Let d(h) = h**2 - 11*h - 51. Is d(22) composite? False Suppose 7*w - 2*l - 1987 = 4*w, 0 = -w - 5*l + 634. Is w a prime number? True Suppose 3*y - 103 = 2*d, -4*y + 130 = 2*d + 2. Is y composite? True Suppose 0 = 3*t + 15, 0 = 3*v - 7*t + 2*t - 694. Is v prime? True Let g(f) = 78*f - 7. Is g(2) a composite number? False Let l(f) = f - 9. Let z be l(7). Is (174/(-18))/(z/30) composite? True Let b(s) = s**3 + 11*s**2 - 13*s + 25. Is b(8) prime? False Let i(z) = -z**2 - 7*z - 1. Suppose -4*f = -4*v + 4, 0*v + 19
{ "pile_set_name": "DM Mathematics" }
, -19, 4 in ascending order. -19, j, 4 Let w = 12.4 - 12. Sort -4, 3, w, -1/5 in decreasing order. 3, w, -1/5, -4 Let u = 2 - 1.7. Sort -0.5, -0.4, u in descending order. u, -0.4, -0.5 Suppose -28 + 4 = 3*m. Suppose 2*c + z = -3 - 4, -z = c + 6. Sort c, m, 4. m, c, 4 Suppose -n = n. Suppose n*j + 2*j = 8. Let v be -3*1*j/(-3). Put -2, 5, v in increasing order. -2, v, 5 Suppose 4*d + 1 = 3*d. Sort d, -7, -3. -7, -3, d Let v be (4/16)/((-5)/(-4)). Sort -2/15, v, 1/4 in decreasing order. 1/4, v, -2/15 Let x = 0.1 + -0.3. Suppose -11*t = -13*t - 2. Put t, 1, x in decreasing order. 1, x, t Let t = 56 - 51. Put -0.05, t, 1/5 in decreasing order. t, 1/5, -0.05 Let g = 79690/21 - 3794. Let v = g - 3/7. Sort 5, -0.2, v. -0.2, v, 5 Let a = 1.3 + 1.7. Let h = 115/3 + -39. Sort -4, a, h in ascending order. -4, h, a Let n = 1.5 - 0.5. Let o = n + -1.1. Let s = -0.1 - -0.6. Put o, 0, s in descending order. s, 0, o Let f be (8/2)/((-2)/(-2)). Let t = -17 + 30. Suppose 2*n = -b + 11, 2*n - 6*n = -b - t. Put b, f, -5 in ascending order. -5, b, f Suppose 3*f - 4*f = -6*f. Sort 5, f, 4, -3. -3, f, 4, 5 Suppose 5*a + 2*o - 4 = 0, -o - 1 = 2*a - 2. Let l = -1 + 0. Sort -2, a, l. -2, l, a Let i = 13.2 + -1.2. Let f = i - 19.7. Let o = f - -8. Sort -3, 0.5, o. -3, o, 0.5 Let p = 0.6 + 0.4. Sort 4, p, -12, 1/4 in descending order. 4, p, 1/4, -12 Let c = -2/97 - -101/194. Let a be (-4)/(2/(0 - -2)). Let n be a/(-10) + -1 + 0. Put c, 1/4, n in ascending order. n, 1/4, c Let x = -1/1545 - -1719/3605. Let g = 5/13 + -197/546. Let m = g + x. Put -1, m, 2 in ascending order. -1, m, 2 Let k = -4 - -2. Let n = -1.8 - k. Put 3, n, -4/3 in ascending order. -4/3, n, 3 Let g(m) = m**2 + 12*m + 24. Let o be g(-10). Sort 1/6, o, 6 in ascending order. 1/6, o, 6 Let p be 1598/(-1645) + -3*(-2)/15. Sort p, 2, 5/6 in descending order. 2, 5/6, p Let c = -0.4 - 1.6. Let t be ((-2)/5)/((-52)/(-65)). Suppose 0*b = b + 1. Sort b, c, t. c, b, t Suppose 4*t + 3 = 3*t. Let n be 16 - 13 - 2*1. Let g(r) = -r**2. Let h be g(2). Put t, h, n in descending order. n, t, h Let p(h) = -h**2 - 10*h - 11. Let c(q) = q - 9. Let d be c(0). Let g be p(d). Let r = -3 + 5. Put r, 4, g in increasing order. g, r, 4 Suppose 0 = -5*r + 5*o - 30, 4*r = -o - 10 + 1. Let a = -2 + -3. Put 1, r, a in decreasing order. 1, r, a Let t = -18 - -15. Let p be 5 - (-1)/(-2 + 1). Let i = p - 1. Sort t, 2, i in ascending order. t, 2, i Let a = 4 - 9. Let s = 712/7 - 102. Put -1/2, s, a in decreasing order. s, -1/2, a Suppose -5*i + 20 = -0*i. Let u = -15 + 9. Let f = u + i. Sort -4, f, -3 in decreasing order. f, -3, -4 Suppose z = 4*j + 7 + 4, -3*z = -j - 11. Sort z, -3, 4 in decreasing order. 4, z, -3 Let r = 24 - 25. Put -3, r, 2 in descending order. 2, r, -3 Let y = 0 - -0.05. Let d = y + 0.05. Sort d, -4/3, 0.3. -4/3, d, 0.3 Let t be 22/(-2) + 2/(-1). Let x = -7 - t. Suppose p + s = x*s - 4, -3*p - 12 = 3*s. Put 4, 1, p in increasing order. p, 1, 4 Suppose -5*a + 4*l = -3 - 5, a + 5 = 3*l. Suppose 8 - 19 = a*y - 3*v, -3*y + 8 = v. Sort y, -3, -4 in increasing order. -4, -3, y Let v be 2/(-7) + 4/(-35). Let f = 0.01 - -2.49. Let r = f + -2. Sort 0.4, v, r in increasing order. v, 0.4, r Suppose 6 - 2 = -4*m. Let g(c) = c**2 - 4*c - 3. Let l be g(4). Put l, m, -5 in increasing order. -5, l, m Let m be 1/(-3*2/(-18)). Put -6, -5, 2, m in increasing order. -6, -5, 2, m Let x = 157 + -158. Let i = 0.8 + 0.2. Sort 3, i, x in decreasing order. 3, i, x Let h = -32 + 32. Sort -2, h, 2. -2, h, 2 Let h(t) = 2*t - 1. Let n be h(3). Suppose -48 = c - n*c. Suppose -1 = 2*l + o - 6, c = -4*o. Sort -2, l, -5 in increasing order. -5, -2, l Let x = -8 - -13. Suppose -2*u = -x*u - 3. Sort -2, 1, u. -2, u, 1 Let a = -57/322 + -5/46. Let y = 4 + -2. Let r = y - -1. Sort a, -2, r in decreasing order. r, a, -2 Let q(j) = j**3 - 7*j**2 + 7*j - 3. Let t be q(6). Let c = 0.09 - -4.91. Put c, t, -4 in decreasing order. c, t, -4 Suppose -o = 4, 2*o - 16 + 4 = 4*r. Let y(w) = 2*w + 6. Let p be y(r). Let q be (4 + -5 + -3)/(-4). Put q, p, -3 in increasing order. p, -3, q Let h = 0.038 - 0.438. Sort h, -0.5, 4 in decreasing order. 4, h, -0.5 Let g = -221/50 - 11611/450. Let a = g - -30. Let h = -94 - -379/4. Put a, 1, h in decreasing order. 1, h, a Suppose j - 15 = -2*j. Suppose 11 = 4*v - j. Sort -5, 1, v. -5, 1, v Let y be (-3 - -1)/(-2)*1. Suppose -4 = 7*o - 3*o. Put y, o, 2 in increasing order. o, y, 2 Let g be (0 + 0)/2 - -4. Suppose -g*u - 8 = -0. Sort u, 2, -5. -5, u, 2 Let v = -2377/13 + 183. Sort 8, -4, 1/4, v in descending order. 8, 1/4, v, -4 Let b = 14 - 10. Sort b, -1, 1, 5 in descending order. 5, b, 1, -1 Let j(b) = b + 10. Let f be j(-5). Suppose -f*r - 8 = 7. Sort 3, -0.5, r in increasing order. r, -0.5, 3 Let x = 60 + -239/4. Suppose -2*y = -5*q + 2, q + 8 + 6 = -2*y. Let i = 16/3 + y. Put i, x, -2 in decreasing order. x, i, -2 Suppose 0 = -0*v - v. Let y(o) = 0*o + v*o + 9 + o. Let l be y(-6). Sort 0, l, -4 in ascending order. -4, 0, l Let i = 0.2 + -0.2. Let h = 1 + i. Let o = -12.5 + 12. Sort h, 0, o in descending order. h, 0, o Suppose 0 = -3*b - 5*o + o + 8, 5*b - 2*o = 48. Sort -2, 1, 4, b in increasing order. -2, 1, 4, b Let h(j) = j**3 + 4*j**2 + j - 2. Let m be h(-4). Let s be 2/(m/(-2) - 5). Sort 4, -5, s in decreasing order. 4, s, -5 Let s be 0 + 0 - 627/74. Let w = s - 1/37. Let o = -9 - w. Sort o, 0.4, -2. -2, o, 0.4 Suppose -2*r + 7*r = 0. Suppose -u - 3*j + 2 = r, 4*u - u = 3*j + 6. Let s be (-2 - -5)*(1 + 0). Sort s, u, -0.4 in increasing order. -0.4, u, s Let c(y) = y + 4. Suppose j = -5*v - 16, -j + v - 4 = -3*j. Let z be c(j). Suppose -s = s - z. Put 2, -5, s in descending order. s, 2, -5 Suppose -2*x - f = -3, x + 4*f + 3 = -f. Sort -3, -2, x. -3, -2, x Let q = -20 - -18. Put -5, q, -3 in increasing order. -5, -3, q Suppose 20 = 3*f + 5. Put 4, 2, f in ascending order. 2, 4, f Let o = 8/9 - 73/72. Let x = -4 - -3. Let d be (-3)/(9/4) - x. Sort -0.1, d, o. d, o, -0.1 Let n = -0.3 - 3.7. Sort -0.4, 1/3, n. n, -0.4, 1/3 Let h be (-34)/(-24) + (-4)/6. Put -2, h, 3 in increasing order. -2, h, 3 Let j = -20 + 30. Suppose 3*x - 40 = 6*w - w, 0 = -w - 3*x + j. Put 5, 3, w in descending order. 5, 3, w Let k = -4 + -3. Sort k, -5, -1 in ascending order. k, -5, -1 Let l(b) = b**2 - 3*b + 5. Let v be l(4). Suppose -5*z - 4*h = 13, h - v = 3*z + 4*h. Sort -4, -2, z in increasing order. -4, -2, z Suppose 5*o - 2*x = 2 + 3, -3*o - 11 = -4*x. Sort o, -2, -5 in decreasing order. o, -2, -5 Let b = -3 + 3.2. Let k = -284 + 1985/7. Put b, k, 3 in decreasing order. 3, b, k Let g = -18 + 13. Sort 16, g, -1/3, -4 in descending order. 16, -1/3, -4, g Let i = -0.005 - 0.395. Put -3/4, i, 0, 1/6 in ascending order. -3/4, i, 0, 1/6 Let h be (-2 + 33/9)*3. Put h, 0, -5 in descending order. h, 0, -5 Let d = -56 + 57. Sort 5, 0, d, 4 in decreasing order. 5, 4, d, 0 Let s be (-2)/(-8) - (-161)/(-84). Let q = 6/23 - -5/69. Put q, s, 0 in increasing order. s, 0, q Let v be (-158)/14 + (-8)/(-28). Let n be 150/22 + (-2)/v. Suppose -4*i - 14 = -9*i - 3*g, -4*i + 7 = g. Put n, 0, i in descending order. n, i, 0 Let o = 2.1 + -2. Suppose 2*u + u + 30 = 0. Let v = u - -13. Sort v, o, -0.4 in decreasing order. v, o, -0.4 Let c = 261/7 - 37. Sort 1.2, c, -0.1 in increasing order. -0.1, c, 1.2 Let m(h) = -h + 1. Let g be m(-4). Sort 4, g, 16 in decreasing order. 16, g, 4 Suppose 6*o = o + 10. Put -1, o, 3 in increasing order. -1, o, 3 Let x(v) = 2*v**2 + 15*v - 9. Let o be x(-8). Put 2, -3, 4, o in decreasing order. 4, 2, o, -3 Let m be 2/(-6) - 2/(-6). Put 3, m, 1 in descending order. 3, 1, m Let x be (3/(-9)*-9)/(-1). Put x, 1, -1 in ascending order. x, -1, 1 Let z = 0.6 + 4.4. Sort -1/6, z, -1/4, -0.5 in decreasing order. z, -1/6, -1/4, -0.5 Let p = -13.9 + 13. Let f = p + 0.8. Put -5, f, 0.5 in ascending order. -5, f, 0.5 Suppose -5*b + 4*x + 66 = -0*x, 0 = 4*x + 16. Let h = b + -5. Suppose -2*t + 12 = 2*t. Sort h, t, 4 in increasing order. t, 4, h Let o = -4 + 4. Let q = 0.3 + o. Suppose 3*b - 3*d + 0*d = 9, 0 = -2*b - 4*d - 12. Sort -1, q, b in increasing order. -1, b, q Suppose -3*p + 7 = -l - 5*p, 0 = -4*l - 3*p - 8. Let i be (-5)/(-25)*657/3. Let g = i + -2399/55. Put -0.3, l, g in increasing order. -0.3, g, l Let i be (5 - 1)*28/(-8). Let z =
{ "pile_set_name": "DM Mathematics" }
tens digit of f? 6 What is the units digit of (-9)/(-99) + 38194478/693 - 6/(-27)? 5 Let k(w) = w**2 + 2*w - 10. Let h(n) = -2*n**2 - 3*n + 19. Let b(z) = 6*h(z) + 11*k(z). What is the units digit of b(0)? 4 Suppose 5*o + y = 38148, -4*o + 45117 - 14599 = y. Suppose 3*n - 13*n + o = 0. What is the tens digit of n? 6 Let i(h) = -9*h - 11 + 2*h**2 + 60 + 10. What is the units digit of i(15)? 4 Let k(c) = -551*c - 2497. What is the thousands digit of k(-16)? 6 Let v(h) = 5*h**3 - 177*h**2 - 7*h - 275. What is the hundreds digit of v(36)? 3 Suppose -45 = -r + 5*c - 5, 5*c = -r + 80. Suppose -10 = -2*y, m = 6*m - 3*y - r. What is the units digit of m? 5 Suppose -6*u - 567315 = -26*u + 312785. What is the ten thousands digit of u? 4 Suppose 0 = -2*y - x - 105, 2*y + 2*x = 4*y + 102. Let u = y - -42. Let d = u + 92. What is the units digit of d? 2 Let x = 628 - 626. Suppose -2*y + 2144 = x*m, 26*m - 23*m = 2*y + 3206. What is the tens digit of m? 7 Let z(h) = -18726*h - 239. What is the hundreds digit of z(-2)? 2 Let m(x) = -1881*x - 948. What is the units digit of m(-15)? 7 Let t = -7 + 23. Let u = 21 - t. Suppose 5*z = 3*c + 311, c = 2*z - u*z + 195. What is the tens digit of z? 6 Let r be (-21 - -6)/(-5) - -1. What is the units digit of (r/(-2))/(-1) - (0 + -24)? 6 Suppose -4*g + 12 = 0, 35*p - 4*g + 3622 = 37*p. What is the hundreds digit of p? 8 Let u(w) be the second derivative of 9*w**3/2 - 4*w**2 + 10*w + 2. What is the units digit of u(1)? 9 What is the hundreds digit of (2/6*-1)/(32/(-215328))? 2 Suppose -4*j + 29 - 3 = -2*v, -3*v = -j + 19. Suppose 0 = -j*s - 3*r - 311, 0 = s + 5*r - 3*r + 79. Let x = s + 135. What is the units digit of x? 8 Suppose 16 + 84 = 4*a. What is the units digit of (-199)/(10/(-6)*a/125)? 7 Let n(p) = 4*p**2 + 121*p + 56. What is the tens digit of n(37)? 0 Let i(m) = m**2 + 17*m - 5. Let f be i(-10). Let s = -70 - f. Suppose -x = v - 136, s*x + 4 - 152 = -v. What is the units digit of v? 3 Suppose 0 = -22*z + 19*z + 12. Let n be 28/14*50/z. What is the tens digit of (4 - 3) + 2*n? 5 Let g = 2 + -1. Let k = 3791 - 3809. What is the units digit of g*-5 - (k - 10)? 3 Let p be (5/(15/(-21)))/(2/4). What is the tens digit of 56/(-196) - 11834/p? 4 What is the units digit of (-76)/3610*-37487*(-55)/(-1)? 6 Let s = 274 + -570. Let y = s - -499. What is the units digit of y? 3 Let q = -2095 - -3656. Let k = -1060 + q. What is the hundreds digit of k? 5 Let a(p) = 216*p - 414. What is the ten thousands digit of a(72)? 1 Let v(j) = -3*j - 21. Let p be v(-9). Let h(y) = 71*y - 43. Let l(m) = -12*m + 7. Let f(a) = p*h(a) + 34*l(a). What is the units digit of f(5)? 0 Let b(k) = -k**3 + 15*k**2 - 14*k. Let p be b(14). Suppose p = 4*i - 99 + 87. What is the tens digit of (174*i)/(-7 - -9)? 6 Let w(d) = d**2 - 5*d + 16. Let i(c) = -8*c - 3. Let l(o) = -1. Let h(t) = i(t) - 4*l(t). Let p be h(-1). What is the units digit of w(p)? 2 Let c = -12035 - -22911. What is the hundreds digit of c? 8 Suppose -416 = -12*a + 8*a. Suppose -985 - a = -3*d. What is the units digit of d? 3 What is the units digit of 11/154 - ((-1531592)/112 + -1)? 6 Let c(u) = 34*u**2 + 31*u**2 - 66*u**2 - 48*u + 30. What is the hundreds digit of c(-29)? 5 Let d(p) = 16*p**2 - 93*p - 149. What is the hundreds digit of d(-21)? 8 Suppose 38*w - 90851 = 2*w - 11*w. What is the units digit of w? 3 Suppose -5409 + 143562 = 17*g - 149810. What is the hundreds digit of g? 9 Suppose -g - 73713 = -3*s - 4*g, -s + 2*g = -24595. What is the tens digit of s? 7 Let m(d) = -d + 3. Let i be m(1). Suppose -2*j + 842 = -2*a, -77 + 919 = i*j - 4*a. What is the units digit of j? 1 Let q(j) be the first derivative of -19*j**4/4 + 2*j**3/3 - 9*j**2/2 - 21*j - 136. What is the units digit of q(-2)? 7 Let s be 36/(-2) + (-5)/(20/(-12)). Let r(z) = -z**3 - 13*z**2 + 23*z + 26. What is the hundreds digit of r(s)? 1 Let s(a) = 519*a + 1. Suppose 0 = 24*u - 0*u - 48. What is the units digit of s(u)? 9 Suppose 0 = -2*x + 3*t + 56015, -7*t + 6*t - 139992 = -5*x. What is the units digit of x? 7 Suppose -5*b = 4*q - 533 - 190, 2*q - 323 = 3*b. Let t = -31 + 118. Let n = t + q. What is the hundreds digit of n? 2 Let o be (-38)/(-10) + 5/25. Suppose -3*t - b + 359 = 0, -t + 8*b - o*b = -98. What is the hundreds digit of t? 1 Let l = 105939 - 63426. What is the tens digit of l? 1 Let c be 12/(-6)*(22995/10)/(-3). Suppose -c = 7*g - 4914. What is the units digit of g? 3 Suppose 147*i + 12*i - 3067110 = 0. What is the tens digit of i? 9 Suppose 0 = 2*f + 68 - 2. Suppose -5*b + 109 = 2*a, a + b - 56 = -0. Let r = a + f. What is the units digit of r? 4 Let q(c) = -451*c + 8 + 167*c - 440*c. What is the tens digit of q(-1)? 3 Let k = 14 - 65. Let f = k + 53. What is the units digit of (-125)/f*(0 - (-32)/(-20))? 0 What is the hundreds digit of -2*(-23370)/(-19)*10/(-3)? 2 Let j(c) = 138*c + 4350. What is the hundreds digit of j(-19)? 7 What is the thousands digit of ((-11)/55 - -1) + (-337124)/(-20)? 6 Let h(k) = -k**3 - 48*k**2 - 46*k + 121. Let m be h(-47). Suppose 3*g = -9, -35*j + m = -34*j + 3*g. What is the tens digit of j? 8 Let z = -3336 - -7033. What is the units digit of z? 7 Suppose 4*p + 0*p = -5*c + 3095, 0 = 3*c + 3*p - 1857. Suppose z - c = -5*t, 497 = 4*t + 9*z - 10*z. What is the tens digit of t? 2 Suppose 25*v = 12*v + 104. Suppose 0 = v*f - 6*f + 3*k - 2598, 2*f - 2596 = -2*k. What is the tens digit of f? 9 Suppose -4*n + o = -141, -2*n = -2*o - 70 + 4. Let m(i) = -5*i**2 - 57*i - 71. Let g be m(-10). What is the tens digit of (0 + g - -5) + n? 4 Let f(t) = t**3 + 19*t**2 - 18*t + 54. Let w be f(-21). What is the hundreds digit of (3 - (-57)/6)/((-9)/w)? 6 Suppose 5*s + 2*a = 188974 - 63222, 0 = s - 2*a - 25160. What is the thousands digit of s? 5 Let y be ((-417)/4)/(-5 - 301/(-56)). Let l = y - -609. What is the tens digit of l? 3 Let j = -1824 - -2944. Let p = j + -539. What is the tens digit of p? 8 What is the units digit of ((4/(-6))/(6/(-9513)))/((-19)/(-57))? 1 Suppose 8*s - 69 = 3035. Let a be (s/(-10))/((-1)/15). Suppose -6*u - a = -12*u. What is the units digit of u? 7 Let r = 15543 + 14883. What is the hundreds digit of r? 4 Let x be (-1018)/((-3)/((-3)/(-1)) - 1). Let s = x + -177. What is the units digit of s? 2 Let l(a) = a**3 + 39*a**2 + 4*a + 183. What is the tens digit of l(-29)? 7 Let a be 0 - (-4)/((-4)/(-5)). Let f = 74 + -72. Suppose 0*s - 4*x = f*s - 30, x - a = 0. What is the units digit of s? 5 Let o(n) = n - 3. Let q be o(8). Suppose -q*t = t. Suppose 5*b + x - 360 = -4*x, t = 5*x. What is the units digit of b? 2 Let x(b) = -2*b**2 - 149*b + 22666. What is the thousands digit of x(0)? 2 Suppose -393 - 321 = -2*d. Suppose -2*j - 1410 - d = -5*b, b = -2*j + 363. Suppose 2*k + z = -2*k + 345, -3*z + b = 4*k. What is the tens digit of k? 8 Let r(t) = 2*t**3 + t**2 - 2*t - 38. Let g be r(0). Let a = -44 - g. What is the tens digit of (-371)/a + (3/18 - 0)? 6 Let t be 1/(-1)*(-3 + -1522 + -9). Suppose -t*q + 1526*q = -15712. What is the thousands digit of q? 1 Suppose 0 = 3*z + 6, -2*z - 5102 = -5*a + 5802. What is the units digit of a? 0 Suppose -48*k - 96*k = -9243936. What is the thousands digit of k? 4 Suppose 109 + 299 = -6*p. Let x = 71 + p. Suppose x*q + z = -2*q + 90, q - 7 = 2*z. What is the units digit of q? 7 Let u be 63/(-42) + (-54)/4. Let d be (-9)/((-2 - -3)/u). Suppose 6*x - 5*x = d. What is the hundreds digit of x? 1 Let m(j) be the second derivative of 31*j**3/6 - 2*j**2 - 22*j. Let x be m(1). What is the tens digit of x - (0 + -2)/(-1)? 2 Let l(f) = -1392*f - 6291. What is the units digit of l(-73)? 5 Suppose -5*x - 5 = 0, 2*u + 39*x = 34*x + 16851. What is the thousands digit of u? 8 Suppose 5*v - 716 = 254. Let y = v + 54. What is the units digit of y? 8 Let g = 6409 + -3438. Let k = g - 1638. What is the tens digit of k? 3 Let n be ((-7)/2 - -3)*-86. Let b = 118 - n. Suppose 0 = 4*s - 601 - b. What is the units digit of s? 9 Let l be 44/66*(3 - 0/3). Suppose 0 = -2*o + l*w + 802, o - 206 = 4*w + 198. What is the units digit of o? 0 Let r = -3458 + 9760. What is the tens digit of r? 0 Suppose -3*g - 17 = 2*y + 25, 2*g = -4*y - 76. Suppose 0 = 4*i + 282 + 354. Let d = y - i. What is the units digit of d? 1 Let s be ((-4)/3)/(12/(-405)). S
{ "pile_set_name": "DM Mathematics" }
32962243. -143760*c**2 + 4790 Find the third derivative of 2531134*m**3*o*p**2 + 7676*m**2*o - 18*m**2*p - 2*m*o*p**2 - o*p**2 - 1 wrt m. 15186804*o*p**2 What is the first derivative of 142809749*x**2 - 124863009? 285619498*x Find the second derivative of -17174*a**3*g**2 - 624495*a**3*g + 6*a**2*g - 262*g**2 wrt g. -34348*a**3 - 524 Find the third derivative of -2*a**3*y**3 - 60570*a**3*y**2 + 14923*a**2*y**3 + 144*a**2*y**2 + 5*a**2*y + 113*a*y**3 wrt y. -12*a**3 + 89538*a**2 + 678*a Differentiate 2*c**2*n - 563*c**2 - 279*c - 5505740*n with respect to n. 2*c**2 - 5505740 Find the second derivative of 55619213*f**5 + 12476644*f. 1112384260*f**3 What is the second derivative of 1485*b**2*d**2 + 27585*b**2*d*x**3 - b*d**2 + 230*b*d*x**3 + 2*b*x**2 + 659*b - 3*d**2*x**3 - 2*d**2*x wrt b? 2970*d**2 + 55170*d*x**3 Find the second derivative of 2907*k**4 - 212*k**3 + 7*k**2 - 697562809*k. 34884*k**2 - 1272*k + 14 What is the derivative of 12688827*k**4 + 10790349? 50755308*k**3 What is the second derivative of 30565*x**4 - 3064*x**2 + 448721412*x wrt x? 366780*x**2 - 6128 Find the third derivative of -16591558*f**4 + 10*f**2 - f + 42129 wrt f. -398197392*f Find the second derivative of -8954*s**4 + 458*s**2 - 353162*s. -107448*s**2 + 916 What is the second derivative of -319707458*q**3 + 54644269*q wrt q? -1918244748*q What is the second derivative of 45*v**2*y**2 - 15*v**2*y - 558733*v*y**3 + v + 1226818*y wrt y? 90*v**2 - 3352398*v*y Find the third derivative of 41963*a**3*o*z**3 - a**3*o + 98*a**3 - 136433*a**2*z - 8*a*o*z**3 + 2*z**2 wrt a. 251778*o*z**3 - 6*o + 588 What is the first derivative of -12*f**2*z**2 - 18721877*f*z**2 - 550106493*z**2 wrt f? -24*f*z**2 - 18721877*z**2 What is the third derivative of -10187*m**2*y**3 + 3*m**2*y**2 - 31303*m**2*y + 3*m*y**2 + m*y + 130*y**3 - y**2 + 5 wrt y? -61122*m**2 + 780 Differentiate -3*c**3*n**2 - 226365129*c**3 - 2936391*c*n + 2*n**3 wrt n. -6*c**3*n - 2936391*c + 6*n**2 Differentiate -168991462*f - 285394104 with respect to f. -168991462 What is the derivative of -5*b**4 + 29437945*b**3 + 174454160? -20*b**3 + 88313835*b**2 Find the second derivative of 1658*o**4 - 448*o**3 - 3*o**2 + 16171407*o. 19896*o**2 - 2688*o - 6 What is the first derivative of -3*o*t**2 + 3351*o*t + 16932243*o + 5*t**2 + 10*t wrt t? -6*o*t + 3351*o + 10*t + 10 What is the third derivative of 22*c*y**3 + 137*c*y**2 + c + 143*y**4 - 13482*y**3 - 71417*y**2 wrt y? 132*c + 3432*y - 80892 Differentiate 299*t**3 + 31*t**2 + 75*t + 1097442 wrt t. 897*t**2 + 62*t + 75 Differentiate 686390662*m*r**2 - 96108044*r**2 with respect to m. 686390662*r**2 Find the second derivative of 26*a**4 + 4911*a**3 - 55*a - 1655 wrt a. 312*a**2 + 29466*a Find the first derivative of -2*v*y - 4*v - 146280528*y - 1985213 wrt y. -2*v - 146280528 What is the third derivative of -3*f**6 + 4868985*f**5 - f**3 + 4*f**2 - f + 30235 wrt f? -360*f**3 + 292139100*f**2 - 6 Find the second derivative of 4*g**2*q**2 + 19844*g**2*q - 5*g*q - g - 10516861*q**2 - 11 wrt q. 8*g**2 - 21033722 What is the derivative of 2657*n**4*p + 89*n**2*p + 6658377*p wrt n? 10628*n**3*p + 178*n*p Differentiate i*y**2 - i*y - 3568*i + 6166*y**2 + 21*y + 1347 wrt y. 2*i*y - i + 12332*y + 21 What is the second derivative of -29538658*w**3 + 1528801*w - 2 wrt w? -177231948*w Find the first derivative of 11*j**3 - 79919299*j**2 - 129487982. 33*j**2 - 159838598*j Differentiate 379*i**2*q**2 - 2*i**2 - 8*i*q**2 - 11*i + 1327*q + 84116 with respect to q. 758*i**2*q - 16*i*q + 1327 What is the first derivative of -94813505*z**2 - 8697689? -189627010*z What is the second derivative of 3933599*m**3 - 5113540*m? 23601594*m What is the third derivative of c**3*r**2 - 19950736*c**3 - 89*c**2*r + c**2 + 29702*r**2 wrt c? 6*r**2 - 119704416 Find the first derivative of -509016*m**2 + 2*m + 15549840 wrt m. -1018032*m + 2 What is the third derivative of -19094596*a**5 + 1641891*a**2 - 29*a wrt a? -1145675760*a**2 Find the third derivative of -9300617*z**4 - 3*z**3 - 121300852*z**2 wrt z. -223214808*z - 18 What is the third derivative of -341*u**5 - u**4 + 42801*u**3 + 3*u**2 + 3379*u - 283 wrt u? -20460*u**2 - 24*u + 256806 Find the second derivative of 27782819*c**3 - c**2 - 1359*c + 75435. 166696914*c - 2 What is the second derivative of -30888416*q**3 - 4517765*q wrt q? -185330496*q What is the derivative of -23594378*y - 54560111 wrt y? -23594378 What is the second derivative of 181554802*b**2 + 11342962*b + 4 wrt b? 363109604 Find the second derivative of -5992*h**2*n*o - 2596*h**2*o**3 - 26749286*h*n*o**3 + 4*n*o**3 wrt h. -11984*n*o - 5192*o**3 Find the second derivative of 100156298*x**2 + 2*x - 25994138 wrt x. 200312596 Differentiate 69*d**4 - 4033*d**2 - 39*d - 160684289. 276*d**3 - 8066*d - 39 Differentiate 13560*m**2*v**2 - 2*m**2 - 186*m*v**2 - m*v - 17343909 wrt v. 27120*m**2*v - 372*m*v - m What is the derivative of -4890*w**2 - 441*w + 24046162? -9780*w - 441 Find the third derivative of 328016291*s**5 + 456*s**2 + 2*s + 104173 wrt s. 19680977460*s**2 Differentiate 2*c*g*m - 271420*c*g + 2*c*m + 69124*c + 4*m with respect to g. 2*c*m - 271420*c What is the first derivative of 14786*l**3*r + 555*l**2*r**3 - 6*r**3 - 7*r + 2245 wrt l? 44358*l**2*r + 1110*l*r**3 Differentiate 1079*r**3 + 414*r + 1725165 wrt r. 3237*r**2 + 414 What is the derivative of 80553*p**2 + 489571? 161106*p What is the third derivative of -6101*n*s**6 - 127*n*s**4 + 448*n - s**2 + 23889 wrt s? -732120*n*s**3 - 3048*n*s What is the second derivative of -32241075*x**2 + 19603418*x? -64482150 Find the third derivative of 35673531*f**6 + 63*f**2 + 137826*f. 4280823720*f**3 What is the derivative of -15297818*a + 509290 wrt a? -15297818 Find the second derivative of -15492651*i**2 - 15733326*i. -30985302 Find the third derivative of 396219929*u**5 + 479984814*u**2 wrt u. 23773195740*u**2 Find the first derivative of l**3 - 994165*l**2 + 36373698 wrt l. 3*l**2 - 1988330*l Find the third derivative of -717041*u**5 - 4*u**4*w**3 - 2026289*u**2 + 2*u*w**3 wrt u. -43022460*u**2 - 96*u*w**3 What is the second derivative of 549810483*c**2*j**2 + 2*c**2 - 15447683*c*j + 5*c wrt j? 1099620966*c**2 Find the first derivative of 402985628*k + 150358757 wrt k. 402985628 Differentiate -18347732*k**2*x + 199*x - 1144 with respect to k. -36695464*k*x What is the second derivative of -868326*m**3 + 4*m**2 + 6710448*m? -5209956*m + 8 Find the third derivative of -1182*i**3*z**2 + 76384*i**3*z - 305*i**2 - 309033*z**2 wrt i. -7092*z**2 + 458304*z What is the third derivative of -570*n**4 - 22099*n**3 - 377876*n**2 + 60 wrt n? -13680*n - 132594 Differentiate -175555833*q*u - 13802*q + 1383 wrt u. -175555833*q What is the third derivative of 20979557*m**5 + 952*m**2 + 625*m + 6? 1258773420*m**2 What is the derivative of 381*f**3*n**3*p + 2*f**3*p + 6396217*f**2*p - 2*f - 2777*n**3 wrt n? 1143*f**3*n**2*p - 8331*n**2 What is the derivative of -2*t**2 - 13880599*t + 99879970 wrt t? -4*t - 13880599 Find the second derivative of -545111*j**2*y**3 - 6*j**2*y**2 + j**2*y - 7*j**2 - 52*j*y + 232*y - 1 wrt y. -3270666*j**2*y - 12*j**2 Find the third derivative of -113700190*t**6 - 2*t**4 + 2*t**3 - t**2 - 194594554 wrt t. -13644022800*t**3 - 48*t + 12 Find the third derivative of 102387*a**3*z**2 + 51*a**3*z + 2*a**3 - 7056194*a**2*z - z**2 wrt a. 614322*z**2 + 306*z + 12 What is the derivative of -287498883*p - 296513458? -287498883 Find the third derivative of 2*i**5 + 169742*i**4 + 64*i**3 - 128823606*i**2 wrt i. 120*i**2 + 4073808*i + 384 What is the third derivative of -630857455*w**5 - 180931663*w**2 wrt w? -37851447300*w**2 Find the second derivative of 217865*c**2*k*p**2 - 6*c**2*k*p + c**2*p - c*k*p - 46556*c*p + 8*p**2 wrt c. 435730*k*p**2 - 12*k*p + 2*p Find the third derivative of -264*o**6 + 1042649*o**4 + 49*o**2 - 110*o + 2400. -31680*o**3 + 25023576*o What is the third derivative of 1811*r**2*t**3 - 10*r**2*t**2 + 5*r*t + 7749*r - 7684*t**3 - 8*t**2 - 3 wrt t? 10866*r**2 - 46104 Find the second derivative of -166792226*s**2 + 6949*s + 961 wrt s. -333584452 Differentiate -4537*m**4*u + 51*m**3*u + 5*u + 57474 with respect to m. -18148*m**3*u + 153*m**2*u What is the first derivative of 4630300*b + 5841427 wrt b? 4630300
{ "pile_set_name": "DM Mathematics" }
n + 2*n + 3. What is the remainder when 3 is divided by n? 0 Suppose -19 + 4 = 5*r + 4*a, -3*r + 3*a + 18 = 0. What is the remainder when ((-12)/(-9))/((-2)/(-3)) is divided by r? 0 Let s = 93 - 65. Calculate the remainder when s is divided by 6*(-1)/2 - -13. 8 Let k be 5 + 0 + 0 + -1. Suppose 0 = k*m + 2*m - 210. Calculate the remainder when m is divided by 19. 16 Suppose 5*x - 6 = 4. Suppose 7 = x*z + 33. Let k = -9 - z. What is the remainder when 7 is divided by k? 3 Suppose -5*k = -4*l + 83, -4*k - 97 = -9*l + 4*l. Suppose 5*j - 149 = 101. Calculate the remainder when j is divided by l. 16 Suppose -2*h + 3*v + 28 = 0, -75 = -2*h - 3*h + 5*v. What is the remainder when 50 is divided by h? 16 Let n = -41 - 8. Let q = -12 - n. Calculate the remainder when q is divided by 13. 11 Suppose -3 = -3*n - g + 1, -3*n + 4*g = -29. Suppose b = -5*k + 178, 0*b - n*b + 44 = k. Calculate the remainder when k is divided by (-2)/(-7) + (-164)/(-14). 11 Calculate the remainder when 13 is divided by 23/7 + 20/(-70). 1 Suppose 8 = -2*j - 0*j, 5*k + 10 = -5*j. Calculate the remainder when 12 is divided by (1/k + 2)*2. 2 Let p be 21*(-15 - 0)/(-3). Let k = p + -75. What is the remainder when k is divided by 2/7 - 550/(-35)? 14 Let u = 13 + 0. Calculate the remainder when 38 is divided by u. 12 Let k(b) = -b**3 - b + 8. Let m be k(0). Let v(c) be the first derivative of 3*c**2/2 - 3*c - 2. What is the remainder when 62 is divided by v(m)? 20 Calculate the remainder when (-31)/(-1) + (-2 - 0) is divided by (0 + -25)*18/(-45). 9 Suppose -3*w = -0*w - 5*q - 110, -3*q - 162 = -5*w. Suppose 3*h - k + 5*k = -16, w = -5*h - 5*k. What is the remainder when 37/7 - h/(-28) is divided by 2? 1 Let f = 42 + -30. Suppose 3*w - f + 3 = 0. What is the remainder when 5 is divided by w? 2 What is the remainder when (-81)/(-6) - 1/2 is divided by (4/(-10))/(6/(-45))? 1 Let q(c) = c + 1. Let m be q(3). Suppose v = -m*v + 45. What is the remainder when v is divided by 4? 1 Let h = -5 + 7. Let y be (8/4)/(h/68). Suppose 2*b + 5*q = 20, 4*b + 6 = q + y. Calculate the remainder when 28 is divided by b. 13 Let f = -141 + 75. Let m = f + 121. What is the remainder when m is divided by 19? 17 Calculate the remainder when (0 + 17/3)/(1/9) is divided by 15. 6 Suppose 840 = 4*i + i. Suppose 2*p = -g + 4*g + 62, -4*p - 5*g = -i. Suppose -2*o + 1 = -5*c - p, -2*c = o - 10. What is the remainder when o is divided by 8? 6 Let n(r) = 7*r + 4 + r + 9. Let i be n(9). Suppose -6*y + i = -y. What is the remainder when 49 is divided by y? 15 Let k be 2 - 5 - -2*1. Let j = k - -5. Suppose 2*o + 6 = 4*o. Calculate the remainder when j is divided by o. 1 Let j = -77 - -143. Let i = j + -33. What is the remainder when i is divided by 17? 16 Let a = -310 + 461. What is the remainder when a is divided by 17? 15 Suppose 2*z + 5*s + 82 = 6*z, 3*z - 58 = 2*s. Let m = z - 12. What is the remainder when 9 is divided by m? 3 Suppose 2*x - 9 = 13. What is the remainder when 20 is divided by x? 9 Suppose v - 10 = 3*v. Let p be (-7)/((-9)/6 + 1). Let b = v + p. Calculate the remainder when b is divided by 5. 4 Suppose -2*s = -4*s + 30. Let u = 29 - 20. What is the remainder when s is divided by u? 6 Suppose 12*z - 3*z - 1044 = 0. What is the remainder when z is divided by 24? 20 Suppose -2*t + 5*h = -70, 3*t - 5*t = -3*h - 62. Calculate the remainder when 149 is divided by t. 24 Let z(l) = -11*l - 2. Calculate the remainder when 32 is divided by z(-1). 5 Calculate the remainder when 1/1 + (6 - (1 - 34)) is divided by 22. 18 Let b(d) = -1 + 0*d**2 + 2*d**2 - 4 + 4*d. Suppose 3 = m + a, -a - 3 = -0. Calculate the remainder when b(-4) is divided by m. 5 Let u(n) = -n**2 - 9*n. Let h be u(-14). Let t = -35 - h. What is the remainder when t is divided by 12? 11 Suppose 7 = -2*w + 95. Let g = -80 + 103. Calculate the remainder when w is divided by g. 21 Let k = -260 - -281. What is the remainder when (82/(-6))/((-1)/3) is divided by k? 20 What is the remainder when (-2)/(-4) - (-3575)/110 is divided by (12/(-10))/((-1)/10)? 9 Let h = 124 - 74. Calculate the remainder when h is divided by ((-6)/(-9))/((-10)/(-195)). 11 Let x = -6 + 13. Let y(p) = p**2 - 5*p - 7. Let j be y(6). What is the remainder when x is divided by 4/(-2)*2/j? 3 Let k(u) = -u**2 + 10*u + 6. Calculate the remainder when k(7) is divided by 10. 7 Let k(w) = 52*w**2 - 2*w + 1. What is the remainder when k(1) is divided by 26? 25 Suppose 1 + 10 = s. Calculate the remainder when 54 is divided by s. 10 Suppose -154 = -5*j + 291. Calculate the remainder when j is divided by 9. 8 Let t(c) = 3*c - 5. Let w(o) be the second derivative of o**4/12 + o**3/6 + 13*o**2/2 + 2*o. Calculate the remainder when w(0) is divided by t(4). 6 Let h(s) = -s**2 + 6*s - 1. Let w be ((-4)/(-6))/((-4)/(-30)). Calculate the remainder when 7 is divided by h(w). 3 Let d be (-6)/15*(-64 + -1). Suppose 0 = -2*c + 4*c - d. What is the remainder when c is divided by 4? 1 Let b(u) = -11*u - 7. Calculate the remainder when b(-5) is divided by 17. 14 Suppose -4*a - 8 = -48. Calculate the remainder when a is divided by 6. 4 Let u be (2 - 19)*(-7)/1. Suppose -19 = 4*m - u. Calculate the remainder when m is divided by 13. 12 Let g = 3 - -1. Suppose -3*o = -g*o + 8. What is the remainder when 30 is divided by o? 6 What is the remainder when 35 is divided by (6/8)/(-4*2/(-128))? 11 Let h(d) = 69*d**2 + 1. Let a = 321 + -201. Suppose 4*w + 3*n - 96 = 0, 9*w - n = 4*w + a. What is the remainder when h(1) is divided by w? 22 Suppose 26*f = 24*f + 44. What is the remainder when f is divided by 5? 2 Let i = 5 - 3. What is the remainder when 5 is divided by (3/i)/((-6)/(-16))? 1 Let q(g) = 2*g - 1 + 0*g + 3*g**2 + 2*g**2 - 4*g. Let b be q(2). Suppose -15 = -5*n + b. Calculate the remainder when 16 is divided by n. 4 Let q(o) = 4*o + 10. Let a be q(-8). Let s = 10 + -1. Calculate the remainder when s is divided by 8/(-16) + a/(-4). 4 Suppose -2*v + 5*v = -3. Let c = v + 7. Calculate the remainder when 23 is divided by c. 5 Suppose -2*o + 6*o - 184 = 0. Let m be 4/10 - (-69)/15. Suppose -m*w + 96 = -w. Calculate the remainder when o is divided by w. 22 Let j(v) = 3*v**2 + v + 4. Suppose 3*f + 2*f = -40. Let u = f - -5. What is the remainder when j(u) is divided by 15? 13 Let u(x) = -44*x**3 - 4*x**2 - 5*x - 1. Calculate the remainder when u(-1) is divided by 29. 15 Let f = 12 + -9. Suppose -f*m + 8 = -10. Calculate the remainder when m is divided by 4. 2 Suppose 2*c = 2*r + 3*r - 81, 0 = 3*r + 4*c - 59. Calculate the remainder when 44 is divided by r. 10 Suppose q = -0*q - 2*n - 72, 0 = -3*q + 5*n - 205. Let f(o) = 2*o**2 + 5*o. Calculate the remainder when f(-4) is divided by 5/(-2)*q/25. 5 Suppose -2*v = 4*v - 234. Calculate the remainder when 75 is divided by v. 36 Let l be ((-2)/4)/(4/(-16)). Suppose -3*r + 19 = -l*f, -5*f = -r + 6*r - 15. Suppose -r*x + 102 + 208 = 0. Calculate the remainder when x is divided by 16. 14 What is the remainder when 46 is divided by (-6)/36*-3*(0 + 34)? 12 Let l(t) = 2*t**2 - 2*t - 6. Suppose 3*o + 3*k = -k - 12, 0 = -4*o - 5*k - 16. Let j = 34 + -16. Calculate the remainder when l(o) is divided by j. 16 Suppose -3*h + 2*f = -2*h, 5*f = h + 3. Let t(w) = -w - 2*w + 4*w - 2*w - 4 + w**h. What is the remainder when 15 is divided by t(4)? 7 Let c(g) = -g + 1. Let h(t) = -t**3 - 4*t**2 - 2*t + 1. Let v be h(-2). Let x = v + -2. What is the remainder when 10 is divided by c(x)? 4 Suppose 83 = 3*f + 26. Let g = 11 - 6. What is the remainder when f is divided by g? 4 Let a = 312 + -300. Suppose -21 = -t + 4*l, -l = t - 3*t + 42. Calculate the remainder when t is divided by a. 9 Suppose 12*i - 44 = 10*i. What is the remainder when 62 is divided by i? 18 Let w = 3 - -10. Calculate the remainder when 35 is divided by w. 9 Suppose -62 = 5*t - 197. What is the remainder when 80 is divided by t? 26 Let d(s) = s**2 + 4*s - 5. Suppose 1 = -5*i - 29. What is the remainder when 11 is divided by d(i)? 4 Calculate the remainder when 1*-4 + 39 + 2/(-2) is divided by 13. 8 Suppose -18 = -4*v + 2*h, -2*h = -v + 2*h + 8. Let q = -7 + 5. Calculate the remainder when ((-12)/10)/(q/10) is divided by v. 2 Let k = -4 - -39. Let d = 4 - -5. Calculate the remainder when k is divided by d. 8 Let r
{ "pile_set_name": "DM Mathematics" }
- 1 What is the derivative of -1618*a**3*x - 349*a**3 - 5905*a**2*x + 15693*a - 2*x wrt x? -1618*a**3 - 5905*a**2 - 2 What is the third derivative of 4*d**6 - d**4 + 2111707*d**3 - d**2 - 144182*d + 6 wrt d? 480*d**3 - 24*d + 12670242 What is the second derivative of -9044*q**3 + 471*q**2 - 3534*q - 428 wrt q? -54264*q + 942 What is the first derivative of -8918*n*p**2 - 17*n*p - 39*n - 5*p**2 + 23953*p wrt n? -8918*p**2 - 17*p - 39 Find the third derivative of -211*c**4 - 20375*c**3 - 61369590*c**2. -5064*c - 122250 Find the second derivative of 3173*d**3*x - 338*d**3 + 2*d**2*g**2 + d*g**2*x - 6*d*x + 155288*d wrt d. 19038*d*x - 2028*d + 4*g**2 Find the third derivative of 502*t**4 + 30918*t**3 - 71068890*t**2 wrt t. 12048*t + 185508 Find the first derivative of 10*g**3 - 780358*g**2 - 8159016 wrt g. 30*g**2 - 1560716*g What is the second derivative of 1017704533*j**2*v**3 + 3*j*v**3 - 6*j*v**2 + 132*j*v - 10*j + 27*v**3 + v**2 wrt j? 2035409066*v**3 What is the second derivative of -134197030*m**3 + 1139800*m - 10? -805182180*m What is the first derivative of -162570250*h**2 + 117089519 wrt h? -325140500*h Find the third derivative of -3050*d*t*y**4 + 8*d*t + 2*d*y**2 - 6581*d*y - 991*t*y**4 + t*y**2 - 43*t*y wrt y. -73200*d*t*y - 23784*t*y Find the second derivative of -9035409*v**4 - v**3 - 2*v**2 - 68836671*v wrt v. -108424908*v**2 - 6*v - 4 Find the third derivative of -11994153*m**3 - 72*m**2 - 65346*m wrt m. -71964918 Differentiate -339940851*p**4 + p**3 + 482369139 with respect to p. -1359763404*p**3 + 3*p**2 What is the third derivative of -94142*s**3*z**2 - s**3*z + 66*s**3 + 13*s**2*z**2 + 3359*s*z**2 + 2*s*z + 9*z wrt s? -564852*z**2 - 6*z + 396 What is the second derivative of -1242974*t**4 + 75*t**2 - 350064447*t wrt t? -14915688*t**2 + 150 Find the first derivative of -15416820*s + 21061987. -15416820 Find the third derivative of 11405273*a**4*c**3 + 5*a**2*c**3 - 980*a*c**3 - 5*a - 6*c**3 wrt a. 273726552*a*c**3 What is the derivative of 1371*d**3 - 32970*d**2 + 139152140 wrt d? 4113*d**2 - 65940*d What is the second derivative of 4913813*a**3 - 18413187*a wrt a? 29482878*a Differentiate -5*c**2*s**2 + 136937*c**2*s - 497*s**2 - 31413 wrt c. -10*c*s**2 + 273874*c*s What is the third derivative of -27108605*t**3 + 33*t**2 - 840379*t wrt t? -162651630 Find the second derivative of -372161*m**3 + 2*m**2 + 9201146*m wrt m. -2232966*m + 4 What is the first derivative of 32*p*z**2 + 1723311*p*z + 2*p + 156338391*z**2 + 1 wrt p? 32*z**2 + 1723311*z + 2 What is the first derivative of 11060*p**3*w + 19957066*p**3 - 2075*w**2 wrt w? 11060*p**3 - 4150*w Differentiate -29618910*c**3 + 10060592 wrt c. -88856730*c**2 What is the third derivative of -98826134*g**3 - 2*g**2 + 9664519*g + 5? -592956804 Differentiate 114*h**4*u**2 - 867864*h**2*u**3 - 1516287*u**3 + 12*u + 1 wrt h. 456*h**3*u**2 - 1735728*h*u**3 Differentiate 21012505*q - 5827140 wrt q. 21012505 What is the third derivative of -3480*a*b**4 - 2*a*b**3 - 269448*a*b + 18*a + 94257*b**3 + b**2 - 2*b wrt b? -83520*a*b - 12*a + 565542 Find the second derivative of -3048813*y**4 - 3*y**3 - y**2 + 4*y + 4128015. -36585756*y**2 - 18*y - 2 What is the third derivative of -4691323*w**5 - w**4 - 10448*w**2 + 2*w + 71? -281479380*w**2 - 24*w Find the first derivative of -1120178*c*v - 108*c - v + 18010 wrt v. -1120178*c - 1 Find the second derivative of -47197633*l**3 + 3*l**2 - 27742*l + 778. -283185798*l + 6 Find the third derivative of -928281*j**4*z + 183*j**3 + 151025*j**2 + 3*j*z + 63 wrt j. -22278744*j*z + 1098 Find the third derivative of 828*l**6*r - 463*l**5*r**2 + 6*l**2*r + l**2 + 70543*l*r**2 - l wrt l. 99360*l**3*r - 27780*l**2*r**2 What is the third derivative of -197*s**6 + 142097*s**3 + 29870*s**2 - 817 wrt s? -23640*s**3 + 852582 What is the second derivative of -4*b**5 - 243921*b**4 - 5*b**2 - 40649888*b + 2? -80*b**3 - 2927052*b**2 - 10 Find the first derivative of -635*g**3 + 60*g**2 - 35*g - 41711221 wrt g. -1905*g**2 + 120*g - 35 Find the first derivative of -6429*l*x**2 - 12013*l*x - 30*x**2 + 2020*x - 409 wrt l. -6429*x**2 - 12013*x Find the second derivative of 89*o**4 + 79677*o**3 - 46895068*o wrt o. 1068*o**2 + 478062*o Differentiate -m*p + 222128*m - p - 306351 wrt m. -p + 222128 What is the second derivative of -16322533*i**2*v - 4*i*v - 10*i + 22256*v wrt i? -32645066*v What is the third derivative of -8*f**3*q*w**2 - 26690*f**3*q*w + f**3*q + 4*f**2*q + 22*f*q*w - 12*f*w**2 - 195*q*w**2 + 2*q*w wrt f? -48*q*w**2 - 160140*q*w + 6*q Find the second derivative of 30668*g*o**2*x**3 + 2*g*o*x**3 + 8*g*o*x**2 - 21*g*o*x - 2*g*x + 5*o**2*x**3 + 3*o**2 - 2*o*x - 144*o wrt o. 61336*g*x**3 + 10*x**3 + 6 Differentiate -7*v**3 - 7069647*v**2 + 2*v + 396873356. -21*v**2 - 14139294*v + 2 What is the second derivative of 193*h**4 - 2499*h**2 - 25*h + 67850 wrt h? 2316*h**2 - 4998 Find the third derivative of 840492140*c**4 + 449*c**2 - 26*c + 1077. 20171811360*c Find the second derivative of 173798307*d**2*s + 11*d*s - 17*d + 122*s + 64 wrt d. 347596614*s What is the derivative of -7768*i**2*n + 827138*i**2 - 44*i*n + n wrt n? -7768*i**2 - 44*i + 1 What is the derivative of -88*i**2*p - 84325*i + 18185*p + 264 wrt i? -176*i*p - 84325 What is the third derivative of -476682385*u**3 - 15260*u**2 - 4*u + 192? -2860094310 What is the third derivative of -9770676*c**5 - 65*c**2 + 18*c + 142 wrt c? -586240560*c**2 Find the second derivative of -13*m*s**2*u**2 - 1628*m*s**2*u + 2*m*s**2 - 6*m*s*u**2 - 54*m*u - 6*m - 2*s*u - 3*u**2 + 175 wrt s. -26*m*u**2 - 3256*m*u + 4*m Find the second derivative of -2*q**4 + 1749384*q**3 + 1197892*q. -24*q**2 + 10496304*q Differentiate -2*a**2 - 407553*a - 31984625 wrt a. -4*a - 407553 Find the first derivative of -235937*p**3 - 3*p**2 - 8*p - 22571068. -707811*p**2 - 6*p - 8 Find the second derivative of -49*v**3*z**3 - 223*v**3*z + 75*v**2*z - 621*v*z - 2472403*z**3 wrt z. -294*v**3*z - 14834418*z What is the derivative of 98419917*b + 102145531? 98419917 Find the third derivative of -905297178*t**3 + 15796*t**2 - 4*t - 1356 wrt t. -5431783068 What is the derivative of -751072220*s**4 - 900751363 wrt s? -3004288880*s**3 Differentiate -1530776*a**4*u**2 - 8*a**4 - 4697*u**2 + 1636 wrt a. -6123104*a**3*u**2 - 32*a**3 Differentiate 164046586*a*k + 1288257*k - 38 wrt a. 164046586*k What is the third derivative of 50063602*b**3 + 23265701*b**2 + 2*b? 300381612 Differentiate -258*j*x**2 - 158628*j*x + j - 1527109*x**2 + 76*x with respect to j. -258*x**2 - 158628*x + 1 Find the third derivative of 7907*k**4*l**3 - 16130*k**4*l + 2*k**2*l**3 - 38*k**2*l + 50818*k*l - 2*l**3 wrt k. 189768*k*l**3 - 387120*k*l Find the second derivative of -1184*f**3*k**2*u**2 + 13595*f**3*k*u + 2*f**2*k**3*u - 6*f*k**2*u - 1838*k**3*u**2 + 1 wrt u. -2368*f**3*k**2 - 3676*k**3 What is the third derivative of -22*a**3*k**2*t - 5535*a**3*k**2 + 585*a**2*k**2*t - 9*a**2 - 4*a + 26*t wrt a? -132*k**2*t - 33210*k**2 Find the second derivative of 10202707*f**5 + 2670160*f + 1. 204054140*f**3 Find the third derivative of 3534*k**3*m**2*v + 1616*k**3*m*v - 18*k**2*m - 1238*k*m**2 + 33*v wrt k. 21204*m**2*v + 9696*m*v What is the derivative of -228823371*r + 31400737 wrt r? -228823371 Find the third derivative of 7460*b**3*i**3*l*r + 1204*b**3*i*l*r - 2*b**2*i**3*l - 2*b*i**3*l*r + 2*b*i**3*l - 20*b + 2713*i**3*l + 2*i**3 + l wrt b. 44760*i**3*l*r + 7224*i*l*r What is the derivative of -12230408*h**2*m - 118*h**2 + 6316 wrt m? -12230408*h**2 Differentiate -2*a*k*m*y + 77*a*k*m + 4*a*m*y + 330*a + 10489*k*m*y - 1815*m*y with respect to k. -2*a*m*y + 77*a*m + 10489*m*y Find the first derivative of 6*u**2*x + 29960*u**2 + u*x + 4*u + 66505*x + 214 wrt u. 12*u*x + 59920*u + x + 4 Find the first derivative of -5*f**3 - 13*f**2 + 21115*f + 239641. -15*f**2 - 26*f + 21115 Find the first derivative of -4*d*p*r*y - 2420898*d*p + d*r*y + 2*d*y - 3*d - 2867*p*r + 2*p - 46*r*y wrt r. -4*d*p*y + d*y - 2867*p - 46*y Find the second derivative of -28414*l**3 - 748*l**2 + 3*l - 100497916. -170484*l - 1496 What is the second derivative of -2358*c**2*n*q**3 + 15*c**2*q**3 + 24*c**2*q + 34*c*n*q**3 - c*n*q**2 + 26*c*n + c*q**3 + 2*q**2 wrt c? -4716*n*q**3 + 30*q**3 + 48*q What is the third
{ "pile_set_name": "DM Mathematics" }
hat is next in -204, -797, -1462, -1935, -1952, -1249, 438? 3373 What comes next: 155395, 310990, 466585, 622180? 777775 What is next in -4622353, -9244705, -13867057? -18489409 What comes next: -386350, -772466, -1158582? -1544698 What is the next term in -1008588, -4034492, -9077672, -16138134, -25215884, -36310928? -49423272 What comes next: 4234437, 8468873, 12703307, 16937739, 21172169, 25406597? 29641023 What is the next term in -8361, -17256, -26151, -35046? -43941 What is the next term in -759, -1283, -1515, -1461, -1127? -519 What is the next term in 370703888, 741407777, 1112111666, 1482815555, 1853519444, 2224223333? 2594927222 What is the next term in -3106188, -12424738, -27955654, -49698936, -77654584, -111822598, -152202978? -198795724 What is next in -12325, -23063, -33801, -44539? -55277 What is the next term in 200068, 400178, 600288, 800398? 1000508 What is next in -1911, -1930, -1917, -1836, -1651, -1326? -825 What is next in 122470, 245311, 368152, 490993? 613834 What is the next term in -527896, -527662, -527428, -527194, -526960, -526726? -526492 What is the next term in -470, -1379, -2724, -4505, -6722, -9375, -12464? -15989 What comes next: 8186583, 16373172, 24559761, 32746350? 40932939 What is the next term in -4957132, -4957133, -4957130, -4957123? -4957112 What is the next term in 38, 5587, 14834, 27779, 44422, 64763, 88802? 116539 What is the next term in 164412, 164374, 164324, 164262, 164188? 164102 What is the next term in -11550, -11537, -11502, -11445, -11366? -11265 What is the next term in -18168, -46671, -75174, -103677, -132180? -160683 What comes next: 193, 267, 459, 817, 1389, 2223, 3367, 4869? 6777 What is next in -1612, -3692, -6242, -9262, -12752? -16712 What is next in 17126, 33997, 50868? 67739 What comes next: 669, 1560, 2673, 4008? 5565 What comes next: 14201, 27516, 39955, 51512, 62181? 71956 What is the next term in 95, 482, 1347, 2930, 5471, 9210? 14387 What comes next: -1379926, -5519757, -12419480, -22079095? -34498602 What is the next term in -1230, -1236, -1248, -1266? -1290 What comes next: -245111, -980422, -2205949, -3921698, -6127675? -8823886 What is the next term in -1169, 15, 1987, 4747, 8295, 12631, 17755? 23667 What comes next: 10104825, 10104788, 10104749, 10104708? 10104665 What comes next: 1593, 795, 11, -759, -1515? -2257 What is next in 692636, 692687, 692770, 692885, 693032, 693211, 693422? 693665 What comes next: 34448, 70779, 107110, 143441, 179772, 216103? 252434 What is next in -21583582, -21583591, -21583604, -21583621? -21583642 What comes next: -1925746, -3851501, -5777256, -7703011? -9628766 What is next in -87069, -347908, -782647, -1391286, -2173825, -3130264? -4260603 What is the next term in -7961839, -31847078, -71655809, -127388032, -199043747? -286622954 What is the next term in 903, 3857, 9509, 18501, 31475, 49073, 71937? 100709 What is the next term in 71942, 143841, 215742, 287645, 359550, 431457, 503366? 575277 What comes next: 23514, 97825, 222930, 398829, 625522? 903009 What is next in -59450, -118914, -178410, -237938, -297498, -357090, -416714? -476370 What is the next term in -39064, -156283, -351656, -625183? -976864 What comes next: 1425478, 2850955, 4276432, 5701909? 7127386 What is the next term in 1818, 5455, 11266, 19251, 29410, 41743? 56250 What is next in 744, 5599, 18598, 43755, 85084, 146599? 232314 What comes next: 47858520, 47858524, 47858530, 47858538? 47858548 What comes next: 41632, 83290, 124964, 166654, 208360? 250082 What is the next term in 336, 279, 12, -567, -1560, -3069? -5196 What is the next term in 66728, 266892, 600474, 1067474, 1667892? 2401728 What is next in -39871605, -79743215, -119614833, -159486459, -199358093? -239229735 What is next in -1930, -1320, -702, -76? 558 What is the next term in 44874, 89751, 134630, 179511? 224394 What is the next term in 73041, 146061, 219083, 292107, 365133? 438161 What comes next: -559697, -1119374, -1679051? -2238728 What comes next: -1201899, -1201867, -1201813, -1201737? -1201639 What comes next: 41402607, 41402609, 41402611, 41402613, 41402615, 41402617? 41402619 What is the next term in -311415, -1245671, -2802755, -4982661, -7785383, -11210915? -15259251 What is next in 12824, 51323, 115452, 205175, 320456, 461259, 627548, 819287? 1036440 What is the next term in 17851, 17468, 16829, 15934, 14783, 13376? 11713 What comes next: -3506, -7114, -10826, -14642, -18562, -22586? -26714 What comes next: -110778, -221585, -332412, -443253, -554102, -664953, -775800, -886637? -997458 What is next in -17967, -16664, -15337, -13974, -12563, -11092, -9549, -7922? -6199 What is next in -400532, -800417, -1200302, -1600187? -2000072 What is the next term in 87888, 175730, 263572, 351414, 439256, 527098? 614940 What is the next term in -19604, -38895, -58182, -77465, -96744? -116019 What is next in -1180132468, -1180132470, -1180132472, -1180132474? -1180132476 What is the next term in -16713, -66992, -150785, -268092? -418913 What is the next term in 14326794, 28653587, 42980380, 57307173, 71633966? 85960759 What is the next term in -748105, -2992875, -6734163, -11971975, -18706317? -26937195 What is the next term in 178, 2753, 10086, 24553, 48530, 84393, 134518, 201281? 287058 What comes next: -60306, -60154, -60002? -59850 What is the next term in 3280, 4629, 5924, 7165, 8352, 9485, 10564? 11589 What is the next term in -483956, -1935337, -4354290, -7740809, -12094888, -17416521, -23705702, -30962425? -39186684 What is the next term in -258248, -514464, -770680, -1026896, -1283112, -1539328? -1795544 What comes next: 78143, 155823, 232555, 307865, 381279, 452323, 520523, 585405? 646495 What is next in -334996, -1340240, -3015656, -5361250, -8377028, -12062996, -16419160, -21445526? -27142100 What is next in -115168, -230289, -345410, -460531, -575652, -690773? -805894 What is next in -10094, -11590, -13086? -14582 What is the next term in 55300, 55090, 54880, 54670? 54460 What is the next term in -631409617, -631409620, -631409625, -631409632? -631409641 What is next in -105771, -422900, -951417, -1691322? -2642615 What is the next term in 14669650, 14669647, 14669642, 14669635, 14669626, 14669615, 14669602? 14669587 What is the next term in 3956, 5286, 6616, 7946? 9276 What is the next term in 3378034, 6756057, 10134080, 13512103, 16890126, 20268149? 23646172 What comes next: -1858, -3557, -4768, -5491, -5726? -5473 What is next in -17724, -17724, -17702, -17658, -17592, -17504? -17394 What is next in 25297, 50686, 76075, 101464, 126853? 152242 What comes next: 12451, 25295, 38139, 50983, 63827? 76671 What comes next: -1103, -3975, -8771, -15485, -24111, -34643, -47075, -61401? -77615 What is next in 5005, 10095, 15309, 20707, 26349, 32295? 38605 What is the next term in -246132, -245930, -245744, -245580, -245444, -245342, -245280, -245264? -245300 What is the next term in 51, 26, 37, 168, 503, 1126, 2121? 3572 What is the next term in -42174, -84208, -126242, -168276? -210310 What is next in 410354, 820406, 1230140, 1639550, 2048630? 2457374 What is next in -4143538, -4143541, -4143546, -4143553, -4143562, -4143573, -4143586? -4143601 What comes next: -22412, -22396, -22376, -22358, -22348, -22352, -22376? -22426 What is next in 2755, 5536, 8307, 11056, 13771, 16440, 19051, 21592? 24051 What comes next: -37, -147, -359, -715, -1257, -2027? -3067 What is next in -186970, -374724, -562482, -750244, -938010, -1125780? -1313554 What is the next term in 2925034, 5850063, 8775092, 11700121? 14625150 What is next in 53704, 214606, 482792, 858274, 1341064, 1931174? 2628616 What is the next term in -895, -2185, -3981, -6283, -9091, -12405, -16225? -20551 What is the next term in 16243, 129726, 437597, 1037050, 2025279, 3499478, 5556841, 8294562? 11809835 What is the next term in 286, 2675, 7162, 13747? 22430 What comes next: -44848, -90162, -135472, -180778, -226080, -271378? -316672 What is the next term in -5704510, -11409039, -17113568, -22818097, -28522626? -34227155 What is next in 198253, 793111, 1784537, 3172531, 4957093, 7138223? 9715921 What is the next term in -3287, -348, 2597, 5548, 8505, 11468? 14437 What comes next: -224660, -224647, -224636, -224627, -224620? -224615 What is the
{ "pile_set_name": "DM Mathematics" }
4*g**2)*(-g + g - 3*g). 13*g**3 Expand (-2 + 2 + 1)*(9*f**4 + 55*f**2 + 14*f**4 - 56*f**2). 23*f**4 - f**2 Expand -4 + 4 - 2*s**4 + 5*s**4 + 0*s**4 - 3*s**4 + (-s + s + 2*s)*(-3*s + s**3 + 3*s) - 2*s**4 - 3*s**4 + 6*s**4 + (0*s**3 - s**3 + 3*s**3)*(-5*s - 2*s + s). -9*s**4 Expand (1 + 3*z - 4*z + 2)*(2 - 5 + 2). z - 3 Expand (-3*d - 2*d**2 + d + d)*(-2*d - 3*d**2 + 2*d). 6*d**4 + 3*d**3 Expand (2 - 2*j - 2 - j + 6 - 6 + (-1 - 4 + 3)*(-2*j + 4 - 4))*(2 - 5 + 1)*(j**4 - j**4 - j**4). 2*j**5 Expand (0 + 0 - 2*s)*(-1 + 1 + s) - 31*s + 20*s**2 + 31*s. 18*s**2 Expand (4*b - b**4 - 4*b)*(-3*b - b + 3*b) + 4*b + 2*b**5 - 4*b - b**5 - 10*b**5 - 7*b**5. -15*b**5 Expand (-4*c + 4*c - c)*(-4 + 4 - 9*c + (-3 + 0 + 1)*(2 - 2*c - 2) + c - 5*c + 3*c + 2*c + 0*c - 4*c). 8*c**2 Expand (8 + 5 - 6)*(-2*c**5 - 1 + 1). -14*c**5 Expand (2 - 2 + 2)*(-d - d**3 + d + (-6*d + d + 3*d)*(-5*d**2 + 5*d**2 + 2*d**2) + d**3 - 2*d**3 - 2*d**3). -16*d**3 Expand (4 - 2*j + 0 + j)*(0*j - 2*j**4 + 0*j). 2*j**5 - 8*j**4 Expand (3*f**2 + f**2 - 3*f**2)*(-1 - 1 + 3 + (1 - 1 - 1)*(-5 + 3 + 4) - 3 + 1 + 4). f**2 Expand (-5*i**3 - 8*i**3 - 22*i**3 + (-4 - 1 + 4)*(-2 + 2 - i**3))*(2*i - 3*i + 0*i). 34*i**4 Expand ((2 - 1 - 3)*(-1 + 1 + v) - 9 + 0*v + 10 + 15*v)*((-3*v + 3 - 3)*(0 + 0 - v) + 0*v**2 - v**2 + 0*v**2). 26*v**3 + 2*v**2 Expand -n**5 + 0*n**5 + 2*n**5 + (0*n**2 - n**5 + 0*n**2)*(-13 + 7 - 11). 18*n**5 Expand (0 - 2*p + 0)*(4*p - 2*p + 0 - 2). -4*p**2 + 4*p Expand (-13 + 13*g + 13)*(-2 - 1 + 2). -13*g Expand (18 - 14 - 12)*(f - 4*f + 2*f). 8*f Expand 10*t**5 + 4*t**5 - 4*t**5 + (t**3 - 6*t**3 + 2*t**3)*(t**2 + 4*t**2 - 6*t**2). 13*t**5 Expand (-2 + 6*n**3 - 7*n**3 + 3)*(0*n**2 + 3*n**2 - 2*n**2 + (-3*n + 5*n + 0*n)*(-n - 4*n + 6*n) - n**2 - 4*n**2 + 4*n**2). -2*n**5 + 2*n**2 Expand (-2*q - q + q)*(-4 + 2 + 3 + q)*(-q**2 + q**2 - 2*q**2). 4*q**4 + 4*q**3 Expand (-4*k + 0 + 0)*(-3*k**2 - 11*k - 3*k**4 + 11*k). 12*k**5 + 12*k**3 Expand (-2*l**2 - 5*l**5 + 2*l**2)*(-4 + 1 + 5) - 4*l**3 + 2*l**3 + 0*l**3 - 2*l**5. -12*l**5 - 2*l**3 Expand 3*l**4 - 6*l**4 + 30*l**4 + (4*l + 0*l - l)*(-2*l**3 + l**3 - l**3). 21*l**4 Expand (2*l - 2*l + l)*(3*l + 0*l - 4*l + 6*l - 2*l - 3*l + (-l + 5*l - 3*l)*(-3 + 6 - 2) - 3*l + 4*l + l). 3*l**2 Expand -1 + 2*o + 1 + (-2 + 0 + 3)*(-o - 3*o + 5*o) - o + 3*o + 0*o + 0 + 2*o + 0 - o - o + o + (5 + 4 - 4)*(-3*o + 2*o + 3*o). 16*o Expand (0*t + t + 0*t)*(4 - 25 + 0). -21*t Expand -2*v**4 + 2*v - 2*v + (2 - 2*v - 2)*(-v**2 + v**2 + 2*v**3) + 2*v**4 + 0*v**4 - v**4 + (-4 - 2*v + 4)*(3 - 2*v**3 - 3). -v**4 Expand (-93 + 4*c - 5*c + 98)*(3*c - 3*c - 3*c). 3*c**2 - 15*c Expand (0*j + 2*j - 3 - 4*j)*(2*j - 5*j - j). 8*j**2 + 12*j Expand (-19*y**4 - 3*y**5 + 19*y**4)*(-1 + 6 - 2). -9*y**5 Expand 0*l + 3*l - 5*l + (3*l - 2*l - 2*l)*(-1 + 3 + 0) + 12*l - 27 + 14 + 11. 8*l - 2 Expand (2 + 0 - 4)*(3*n - 3*n - 2*n)*(-9 - 4*n + 9). -16*n**2 Expand (0*g**4 - 2*g**4 - 5*g**4)*(0*g + 2*g + 3*g). -35*g**5 Expand (0 + 2*x**2 + 0)*(-502*x**2 + 498*x**2 - x - 4*x). -8*x**4 - 10*x**3 Expand (o + 2*o + 3*o)*(2*o + 0*o - o) + (15*o - 14*o - 1 - 8*o)*(0*o - o + 0*o). 13*o**2 + o Expand (-2 + 5*l - 6*l + 3*l)*(8 - 9 + 3)*(l**2 + 0*l**2 - 2*l**2). -4*l**3 + 4*l**2 Expand -j**2 + 5*j**2 - 5*j**2 + (3 + 2*j - 3)*(4*j + 0*j - 3*j) - j**2 + 7*j - 5*j - 3*j**2. -3*j**2 + 2*j Expand (-9 + 5 - 8)*(1 - 1 + 2*m) + (0 + 2 + 0)*(3*m - 2*m - 3*m). -28*m Expand 8*q**4 - 9*q**4 + 4*q**4 + (-4 - 2*q**2 + 4)*(3*q**2 - 3*q**2 - 2*q**2). 7*q**4 Expand (v**3 - 15 + 15 + 3*v)*(2 - 2 + 2*v**2). 2*v**5 + 6*v**3 Expand (-1 + 1 + d**4 + 7)*(1 - 1 + 3*d)*(3 - 1 - 4). -6*d**5 - 42*d Expand ((1 - 3 + 0)*(6 - 2 - 2) + 3 + 17 + 7)*(-2*x**3 + 0*x**3 + 0*x**3). -46*x**3 Expand 0*c + 0*c - c**2 - c**2 - 3*c**2 + 5*c**2 + 5*c**2 - 3*c**2 + 0*c**2 + (2*c + 2*c**2 - 2*c)*(-2 + 3 + 1) - 1 + 1 + c**2. 7*c**2 Expand (6*z + 2*z + 1 + 1)*(z - 2*z + 2*z). 8*z**2 + 2*z Expand (-35*p - 9*p**2 + 35*p)*((6 - 4 - 4)*(2*p + 2*p - 3*p) + 2 - 2*p - 2). 36*p**3 Expand (-3*l**3 + 5*l**3 + 0*l**3)*(-6*l - l + 5*l)*(346 - 346 - 16*l). 64*l**5 Expand (-i + 5 - 7 - i)*(4 - 1 - 1). -4*i - 4 Expand 2*f**2 + 4*f**5 - 2*f**2 + (0*f - 2*f**3 + 0*f)*(-3*f**2 + 0*f**2 + 2*f**2) + (2*f**3 - f**3 - 3*f**3)*(f**2 + f**2 - 3*f**2) + 3*f**5 - 3*f**5 + 2*f**5. 10*f**5 Expand 2*m - 2*m + m**2 - 3*m**2 + 3*m**2 + m**2 + (3*m + 3*m - 4*m)*(3 - 3 + m). 4*m**2 Expand (6*s - 5*s - 3*s)*(-5 + 0 + 2)*(-3*s**2 - 5*s**2 - 3*s**2). -66*s**3 Expand -2 + 2 - h + (2*h + 4 - 4)*(-2 - 2 + 2) + 3*h + 0*h - 4*h + (5*h + 12 - 12)*(0 - 3 + 5). 4*h Expand (0 - 5 + 4)*(2*z - 3*z + 2*z) - 11*z - 4*z - 25*z - 3*z - z + 6*z. -39*z Expand (-8*y + 2*y + 2 - y)*(0*y**2 + 2*y**2 + 0*y**2)*(-y**2 + y**2 + 3*y**2). -42*y**5 + 12*y**4 Expand -w - 3*w + w - 7*w - w + 0*w + w + 2*w - 5*w + (w - w - 2*w)*(4 - 4 - 1) + 0*w + w + w. -9*w Expand (-9*l + 0 + 11*l - 2)*(-4*l**3 + 4*l**3 - 2*l**3). -4*l**4 + 4*l**3 Expand (18*i + 0 + 0)*(2 - 2 + i**3 + (i**2 - i**2 + 2*i**3)*(3 + 2 - 3) - 4 - 2*i**3 + 4). 54*i**4 Expand -3*f - 2*f + 6*f + (-6*f + 2*f + 2*f)*(4 - 4 - 3) + (-2*f + 5*f - 4*f)*(1 - 1 - 3) - 4*f + 1 + 4*f + f. 11*f + 1 Expand (-3*p + p**2 + 3*p)*(4*p + 12*p - 7*p). 9*p**3 Expand -3 + 3 - j**4 + (6 - 1 - 3)*(-2*j + 6*j - j)*(-13*j**3 - 4*j + 4*j). -79*j**4 Expand (-13 + 2 - 3)*(2*i + 4*i - 4*i). -28*i Expand (36 - 36 - 15*m)*(2*m**2 - 2*m + 2*m). -30*m**3 Expand (o**4 - 12*o**3 + 12*o**3 - 3)*(3*o - 11*o + 4*o). -4*o**5 + 12*o Expand (-70*c**4 - 31*c**4 + 20*c**4)*(2*c - 4 + 4). -162*c**5 Expand (2 + a + a + 3)*(-6 + 1 + 3). -4*a - 10 Expand (-d**4 + 5*d**4 - 2*d**4)*(-1 + 1 + 1) + 4*d**2 + 5 - 2*d**2 - 3 + 2*d**4. 4*d**4 + 2*d**2 + 2 Expand (6*g - 9*g - 2*g**2 + 3*g**3 - 5*g**3)*(0 + 0 - g). 2*g**4 + 2*g**3 + 3*g**2 Expand b**2 + 3*b**2 - 2*b**2 + (-2*b + 2*b + 2*b**2)*(-2 - 2 + 2) - 40*b + 22*b**2 + 40*b + 3 - 3 + b**2. 21*b**2 Expand -40*o + 1 + 0 + 28*o + (-1 + 1 + 2)*(3*o + o - 2*o). -8*o + 1 Expand (-3 + 0 + 4)*(-1 + 1 + 3)*(-k - 5*k + 4*k)*(1 + 2 - 2). -6*k Expand (-g**3 + 2*g**4 + g**3)*(-1 + 4 + 6). 18*g**4 Expand (3*h**3 - h**3 + h**3)*(3 - 4 - 7*h**2 + 5*h**2). -6*h**5 - 3*h**3 Expand (-3*j - 4 + j + 2)*(63*j - 25*j + 20*j). -116*j**2 - 116*j Expand 3*f - 3*f - f**3 + (3*f**2 - f - f**2 - 4*f**2)*(-2 + 2 - 4*f). 7*f**3 + 4*f**2 Expand (-2*n**4 - 19 + 19)*(-3*n + 2*n + 8*n). -14*n**5 Expand (-12*s + 3*s - 3 + 10*s)*(-s**3 + s - s). -s**4 + 3*s**3 Expand 4*p - p**4 - 4*p + (4 - 1 - 4)*(0*p**4 - p**4 - p**4) - 3*p**4 + 4*p**4 - 4*p**4 + 3*p**4 - 2*p**4 - 3*p**4. -4*p**4 Expand (-p + 2*p + 0*p + (-p + 0*p + 2*p)*(0 + 4 - 2) - p - p + 4*p)*(2 + 4*p**3 - 2 + 3). 20*p**4 + 15*p Expand (-3 - 2 + 2*x - 5 + 2*x**2)*(-2 + 2*x**3 + 2). 4*x**5 + 4*x**4 - 20*x**3 Expand 0 + f**3 + 0 + 4*f**2 - 4*f**2 + f**3 + (5*f - 5*f + 2*f)*(0*f + 0*f - 2*f**2). -2*f**3 Expand -3 - 2*z**3 + 3 + (-3*z + 3*z - z**2)*(0*z + 10*z - 5*z). -7*z**3 Expand (5*m - 3*m + 0*m)*(-m - 3 + 3) + (0*m + 2*m - 5*m)*(8*m - 33*m + 14*m). 31*m**2 Expand (-3 - 287*k + 3 + 0)*(-k - 4 + 4). 287*k**2 Expand (9*d**3 + 5*d**3 - 15*d**3 - 3*d**4)*(-3*d - 1 + 1). 9*d**5 + 3*d**4 Expand (-69 - 11 - 59)*(w**2 + 4*w - 4*w). -139*w**2 Expand 3*u - 3*u**2 - 3*u + 2*u**2 + 3*u**2 - 4*u**2 + (4*u + 0*u - 3*u)*(2*u + u - 2*u) + (-2 + 9*u + 4*u - u)*(u + u + 0*u). 23*u**2 - 4*u Expand (-27 - 10 + 9)*(4*v**5 - 3*v**5 - 3*v**5). 56*v**5 Expand (7*r**2 + 3*r**2 - 2*r**2)*(-2 - 3 + 4)*(-2*r + 8 - 8). 16*r**3 Expand (-2 + 4 - 1)*(0 + 4 + 5)*(1 - 5 + 3)*(-4 + 2*h + 4). -18*h Expand (0*d**3 + 3*d**3 - 4*d**3)*(-3 + 0 + 2) - d**3 + 2*d**3 - d**2 - 4*d**3. -2*d**3 - d**2 Expand (4*t**4 + 2*t**4 + 0*t**4)*(2 + 0 - 1 + (5 - 3 - 1)*(-1 + 2 + 0) - 5 - 2 - 5). -60*t**4 Expand ((-1 + 0 + 3)*(1 - 3 + 4) + 3 + 2 - 2)*(-3*t + 2*t + 3*t)*(0 + 0 - 2). -28*t Expand (-18*o + 85*o - 29*o)*(5*o**3 - 2*o**3 - o**3 + 2*o - 2*o**2). 76*o**4 - 76*o**3 + 76*o**2 Expand 0 + 2*g**4 + 0 + g**4 + 5*g**3 - 5*g**3 + 3 - 3 - g**4 + g - 2*g**4 - g + (4*g**2 - 5*g**2 + 3*g**2)*(g**2 - 4*g**2 + 2*g**2) + 0*g**4 - 2*g**4 - 3*g**4. -7*g**4 Expand 1 - 2*n**4 - 1 + (-2 - 2 + 3)*(-5 + 5 + n**4) + 2*n**4 - 3*n**4 - n**4. -5*n**4 Expand (-1 + 1 + 1)*(-2 + 0 + 0)*(5*l**4 + 5*l**4 - l**4). -18*l**4 Expand (-2*y + 3 - 3)*(y + 0*y + 0*y) - 4*y**2 + 2*y**2 + y**2. -3*y**2 E
{ "pile_set_name": "DM Mathematics" }
is the fourth biggest value? (a) z (b) 2/19 (c) -4/7 (d) 0.1 c Let g = 6.23 + -6.7. Let z = g - -0.17. What is the smallest value in z, 0.5, 4/9? z Let o be 1756/(-126) - (-34)/153. Let a = o + 14. What is the smallest value in 4, 0, a? 0 Let t = -52/55 - -6/11. Let y = 0.3 + -0.11. Let v = y - 0.09. Which is the second smallest value? (a) v (b) -0.2 (c) t b Let i = 13.8 + -14. Suppose -22 = 3*t - 4. Let l = -8 - t. Which is the second biggest value? (a) l (b) i (c) 0 b Let q = 20.66 + -26.66. Which is the fourth biggest value? (a) q (b) 1/3 (c) 2/3 (d) 13 a Let u = 902 - 927. Which is the fourth biggest value? (a) -2/17 (b) 34 (c) 1/2 (d) u d Let l = 61.4 + -57.4. Let u(g) be the second derivative of g**3/2 - g**2/2 + g. Let q be u(-1). Which is the smallest value? (a) 5 (b) l (c) q c Let i = -24.088 + 0.088. Let w = 24.1 + i. Which is the second biggest value? (a) -1/4 (b) 1 (c) -2 (d) w d Let y = -0.38 + -1.52. Let n = -2 - y. Which is the smallest value? (a) 4 (b) -5 (c) -4 (d) n b Let g be (-2)/4*1*0. Let n(l) be the third derivative of l**5/60 + l**4/6 + 5*l**3/6 - 15*l**2. Let o be n(g). What is the biggest value in 1, o, 2? o Let m = -22 - -25. Let s be (4/5)/(2 - 0/m). What is the biggest value in s, 6, 3? 6 Let k = 0 + -2.1. Let d = 2.23 + k. Let o = 6.13 - d. Which is the biggest value? (a) 2 (b) o (c) 3 b Let k = -1.14 + 1.44. What is the second smallest value in -0.2, k, 2/5, -6? -0.2 Let n be 1/7 + 4/(-14). Let h be (-1738)/(-237) + -9 + 2. Let g = 0.1 + -0.6. What is the third smallest value in h, n, g? h Let f = 1.09 - -1.91. Let o = -59 + 57. What is the third smallest value in 0.5, -1, o, f? 0.5 Let i = -5 - -43/8. Let u = 0.9 - 0.5. What is the second biggest value in u, 4/3, i, -6? u Let y = -6/31 - 143/62. Let r = 26 - 49. Let k = -23.08 - r. What is the biggest value in y, 1, k? 1 Let r be 6/(-1) + (-88)/(-14). Which is the third biggest value? (a) r (b) 13 (c) 4 (d) 0 a Let f = 55 - 62. Let c = 8 + f. What is the second biggest value in c, -2/11, 2/5, -1? 2/5 Let w = 5 + -11.9. Let g = 6.4 + w. What is the smallest value in -1/4, 2/3, -1/5, g? g Let b = 159.02 + -161. Let a = -0.02 + b. What is the smallest value in a, 0.05, 0.2? a Let q be (2/6)/((-1)/(-3)). Let m = -121 + 119.6. What is the third biggest value in -0.4, m, q? m Let s = 17 - -44. Let i = 61.2 - s. What is the smallest value in -0.5, -1, i? -1 Suppose 3*m + 35 = -4*m. Let j be (15/(-6) + 3)/((-21)/14). What is the fourth smallest value in m, -2/3, -0.3, j? -0.3 Let m = 52 - 52. Suppose -8*t + m + 24 = 0. What is the third biggest value in -1/2, -4, 0.12, t? -1/2 Let l = -0.481 + 0.681. What is the fourth biggest value in 9/5, 1, 3, l? l Let l = -79 + 82. Let m be (3/(-2))/((-1 + 0)*-1). What is the biggest value in -0.2, 0.1, m, l? l Let a be (30/(-25))/2 - (-3)/(-20). What is the third biggest value in -0.03, a, 0.3, 2/3? -0.03 Let w = -144.76 + 146. Let r = w - -2.76. Which is the smallest value? (a) -20 (b) 3/4 (c) r a Suppose 2*z = -5*j + 31, -2*z + 4*j = -6*z + 32. Let v = 13 + -10. Suppose -w = 6*l - l + 10, -18 = z*l + v*w. What is the second biggest value in l, 0, -6? l Let s be 4/(-16)*-4 + -4. Let v be ((-10)/s)/(11/(-33)). Let j be (1/(-6))/((-1)/v). What is the second smallest value in j, -4, -0.4? j Let r = 2.2 - 2. Let n = 13666 + -13669. Which is the fourth smallest value? (a) -4/5 (b) 4 (c) n (d) r b Let m(u) = 3*u**2 - 5*u. Let w be m(-6). Let l = -66688/5 + 13199. Let k = w + l. What is the smallest value in -5, k, 8? -5 Let w be 4/63 - 44/154. What is the smallest value in 0.4, -0.06, w, 4/3? w Let g = 0.2 + -20.2. Let p = -480 - -246. Let b = p + 234.3. What is the third smallest value in -5, g, b? b Suppose -2*n = 10 - 16. Suppose n*k + 19 = -d, -3*k + d - 35 + 6 = 0. What is the smallest value in k, 3, -5? k Let g = -12 + 12.08. Let j = 6.08 - g. Let y = 1 - j. Which is the second smallest value? (a) -0.4 (b) y (c) 8/3 a Let g(l) = 6*l + 47. Let j be g(-5). Let b = j + -14. What is the second biggest value in 13, -6/7, b? b Let w = 13 + -12.49. Let g = w - 0.11. Let r = -20 - -41/2. What is the smallest value in 1/10, g, r? 1/10 Suppose 0 = -2*o - 2*o - 12, -o = -r - 8. Let t be (r/22)/(1/10). What is the third smallest value in t, 0.14, 2? 2 Let u be (-27)/(-18)*2/24. Let o(w) = -w**2 - 7*w + 76. Let a be o(-13). What is the third biggest value in u, a, -0.04? a Let r be 54 - 2*7/(56/(-12)). Let i be (2/(-10))/((-42)/70). What is the smallest value in 1, i, r? i Let r = 197 + -248. Which is the fourth smallest value? (a) -2 (b) -2/5 (c) r (d) 2 d Let n = 0.682 + 0.228. Let p = n - 1.41. Which is the second biggest value? (a) 5 (b) -0.03 (c) 0.1 (d) p c Let q = -126.2 - -130.2. Which is the third biggest value? (a) q (b) -0.3 (c) -1/91 b Let n = -1639 - -1639.5. Which is the third smallest value? (a) 3 (b) n (c) 22 (d) -5 a Let i(h) = -h**3 - 34*h**2 + 17*h - 629. Let w be i(-35). Which is the second biggest value? (a) -0.4 (b) w (c) -11.1 a Let z = 3095/2 - 1547. Let q(x) = -x**3 + 4*x**2 - 2*x + 3. Let v be q(4). Which is the second smallest value? (a) z (b) 4 (c) v (d) 2 a Let s = -0.01 - -0.01. Let u = -7 - -10. Suppose 3*k - k - x = 8, -4*x + 16 = 4*k. Which is the biggest value? (a) u (b) s (c) k c Let u = -6.9 + -3.3. Let b = -6.2 - u. What is the second biggest value in -4, b, 0.4, 20? b Let o = 5.2313 - 5.19. Which is the biggest value? (a) -0.3 (b) o (c) 3 c Suppose -4*i - 3*s = -7*s - 24, 3*s = -4*i - 11. Let f = -11.8 + 0.8. Let u = f + 11.1. Which is the second biggest value? (a) -0.5 (b) i (c) u c Let z = -77 + 151/2. Let y = -31.5 - -58.7. Let r = y - 27. Which is the smallest value? (a) z (b) -0.03 (c) r a Let v = -0.3 + 0.2. Let u = -58 - -86. Suppose -4*f - u = -3*x, 22 - 6 = 5*x + f. What is the third smallest value in 0.5, x, v? x Let g = 41.8 + -6.8. Let w = 35 - g. Which is the smallest value? (a) 0.6 (b) -5 (c) w (d) 0.4 b Let s = 217 - 218. What is the smallest value in s, -2/5, 1, 0.1? s Let w = -0.1 + 0. Let l = w - 1.7. Let y = l + 3.8. What is the third smallest value in 3/7, 2/15, y? y Let c = -498/5 + 100. Let a be (2/3)/(92/(-12) + 0). What is the fourth smallest value in c, a, -0.4, 5? 5 Let i = 3716/5 - 743. What is the third biggest value in -3/2, 0.051, i? -3/2 Suppose -l + 5 = 3*q + 20, 4*q = -4*l - 20. Let o be q/5 - (-1 + 2 + -3). Which is the fourth smallest value? (a) 0.4 (b) o (c) 2 (d) 0.2 c Let o be -13 - 3 - 4/2. Let l = -30.5 + 28.5. Which is the second biggest value? (a) -5 (b) o (c) l a Let m = 19501/6 - 3249. Which is the smallest value? (a) 0.3 (b) m (c) 1 a Let y be (0 + 4/(-33))*3. Let w = -34.2 - -17. Let z = w + 17.3. What is the second biggest value in y, 1/6, z? z Let k = 92 - 96. Which is the third biggest value? (a) -80 (b) 4 (c) k a Let t = -8.1 - -0.6. Let g = -0.5 - t. Let h = -10 + g. What is the biggest value in h, -2, 0.1? 0.1 Let h = 612/5 + -122. Let i = 2.8 + -2.735. Let d = -2.065 + i. What is the third smallest value in -1, d, h? h Let y = -9 - -9. Suppose c + 4*c - 130 = y. Let f = 132/5 - c. What is the biggest value in -2/3, f, 2/19? f Let o be (-102)/221 - (2 + -2). Which is the smallest value? (a) -3/4 (b) -1 (c) -1/4 (d) o b Let q = 140 - 96. Let b = -43.8 + q. What is the second smallest value in 3, 4/9, b? 4/9 Let h = 26 - 25.82. Let z = -2.768 + -0.052. Let m = h - z. What is the smallest value in -2/9, m, 4? -2/9 Let w = 243 - 243.41. What is the third biggest value in 0.2, 2/11, w? w Let r be (-6)/(-4) + 1196/(-208). What is the fourth biggest value in -2, -2/13, -0.1, r? r Let b = -0.1071 - 0.0929. What is the third smallest value in 12, b, -0.3? 12 Let n = -58 + 82.7. Let l = 30.73 - n. Let c = 0.03 - l. What is the third smallest value in -0.5, c, -4? -0.5 Let o(i) = -42*i + 2. Let w be o(1). Let z = w - -22. Let d be 6/9 - (-8)/z. Which is the biggest value? (a) d (b) -5 (c) -3 a Let g be ((-16)/(-12))/(-4)*(-3)/4. What is the fourth smallest value in g, -1, 0, 2/3? 2/3 Let z = 130.8 - 131. Let w be (2/(2 - 1))/2. Which is the smallest value? (a) z (b) w (c) 0.4 a Let u be (-3664)/(-176) + (-63)/3. Let k be (4/(-3))/(1/(-12)). Let b be (k/5
{ "pile_set_name": "DM Mathematics" }
t(3500)) + sqrt(3500) - sqrt(3500)) + sqrt(3500)*-2*2)/((sqrt(448) + 4*-1*sqrt(448))*3). 5*sqrt(5)/4 Simplify ((3*sqrt(405)*5)/sqrt(9))**2 + (((sqrt(80) + 2 + sqrt(80))*-2 - sqrt(80)) + (2 + sqrt(80) - sqrt(80))*4)**2. -160*sqrt(5) + 12141 Simplify (-2*sqrt(513))/(sqrt(3) - (sqrt(18)/sqrt(2) + sqrt(9) + sqrt(9))/sqrt(3)) + (sqrt(57)*2*6)/(sqrt(216)/sqrt(8) - sqrt(3)). 9*sqrt(19) Simplify 1*((-1*(sqrt(1872) + 0) - -2*(sqrt(1872) + sqrt(1872) + 2)) + 0)**2 + -5. 288*sqrt(13) + 16859 Simplify -5 + (2*sqrt(171) - (4*sqrt(2299) + sqrt(2299))**2) + (sqrt(5700)*3)/(sqrt(33)/(3*sqrt(11))). -57480 + 96*sqrt(19) Simplify ((sqrt(352)/(sqrt(24)/sqrt(3)))/(sqrt(576) - (sqrt(576) + sqrt(576)*1 + sqrt(576))))**2 - (3 + sqrt(99)/(3*sqrt(18)/sqrt(2)) + 4)**2. -3213/64 - 14*sqrt(11)/3 Simplify ((-2*sqrt(216)*5)/sqrt(9))/(3*5*(sqrt(72)/sqrt(6) + sqrt(12))). -sqrt(2)/3 Simplify (6*(0 + sqrt(80) + -4 + (4 + sqrt(80) + sqrt(80) + -1 - sqrt(80)) + 1)*2)**2 + -2. 46078 Simplify (3 + sqrt(500) + -6*(sqrt(500) - ((sqrt(500) + 0)**2 - sqrt(500))) + -1 + -2)*5*2. -1100*sqrt(5) + 30000 Simplify 1*(-4*(3*(1 + (sqrt(704) - (sqrt(704)*-1 - sqrt(704))) + -1)*2 + 5))**2. 23040*sqrt(11) + 3649936 Simplify (sqrt(850)*1 - sqrt(34))/(sqrt(20)/sqrt(90) - sqrt(2)) - ((sqrt(1377) - (sqrt(1377) + 0 + sqrt(1377) + 1))**2 - 5*(sqrt(1377) + 2)). -1368 + 21*sqrt(17) Simplify -6*-6*((sqrt(1088)*-2 - ((-1*sqrt(136) + sqrt(136))/sqrt(8) - sqrt(17))) + (sqrt(68)/sqrt(4) + 5 - sqrt(51)/(sqrt(3) - -1*sqrt(3)))**2). -360*sqrt(17) + 1053 Simplify (((sqrt(7) + (2*sqrt(7) + sqrt(7))*-6)*-5 - (sqrt(252)*1 + sqrt(7) + (sqrt(7) - sqrt(784)/sqrt(7)) + sqrt(7)))**2 + 1)*5*1. 224005 Simplify (((sqrt(612)*-2*5 - (2*2*sqrt(612) + sqrt(612))) + (-3 + -2*sqrt(612) - 6*-2*sqrt(612)))*2*5)**2. 18000*sqrt(17) + 1530900 Simplify 1*(-5 + sqrt(1300) + 1 + -2 + ((sqrt(1300) + -1 - sqrt(1300))**2 - sqrt(1300))) + ((-2*sqrt(104))/((-1*sqrt(4))/sqrt(2)))**2. 203 Simplify (sqrt(132)*3*-5 + (sqrt(132) + 1*sqrt(132)*-6 + sqrt(132) - sqrt(132)))/((sqrt(216)/(sqrt(9)*2))/(-5*-1*sqrt(2))). -200*sqrt(11) Simplify (-2*(sqrt(98)*2 - sqrt(98)))**2 - sqrt(98) - ((sqrt(98) + 3)*1)**2 - (5*(-1*sqrt(98) - sqrt(98))**2*-6 + -1). -49*sqrt(2) + 12046 Simplify ((sqrt(51) + sqrt(255)/sqrt(5)*-5)/(-2*sqrt(27)) + 4 + sqrt(68) + 1 + 0)**2. 80*sqrt(17)/3 + 1313/9 Simplify (6*(-1*sqrt(156) + sqrt(156))*5*1)/(-5*-5*sqrt(5808)). 0 Simplify ((3*sqrt(360)*-2*2)/(sqrt(32)/sqrt(100) - (sqrt(8) - sqrt(48)/(4*sqrt(6)))))**2. 2592000/121 Simplify (((-4 + -2 + sqrt(192))**2 - sqrt(192)) + 1)*6 + (-6*(-4 + sqrt(192))**2 + sqrt(192) - -3*sqrt(192)*-4). -328*sqrt(3) + 126 Simplify 4 + 6*((3 + (-1 + sqrt(605) - sqrt(605)) + sqrt(605))*-6*6 + 3)**2. 327888*sqrt(5) + 4733050 Simplify (3*sqrt(91)/(sqrt(7) - (sqrt(56) - ((sqrt(56) - (sqrt(56) + sqrt(1400))) + sqrt(56)))/sqrt(8)) - (-2*sqrt(91)*-6)/(sqrt(112)/sqrt(4)))*3. -81*sqrt(13)/4 Simplify (sqrt(1584) + (sqrt(1584) + 0 - sqrt(1584)))*2 + -1 + 1 - ((sqrt(1584) + sqrt(1584) + -3)*1 + 5 + -4*sqrt(1584))**2. -6340 + 120*sqrt(11) Simplify (sqrt(225)*1*1 + sqrt(225))/(sqrt(80)*-2) + ((sqrt(245) + (sqrt(245) - 1*1*sqrt(245)) + (sqrt(245)*-2 + -2 - sqrt(245)))*1)**2. 221*sqrt(5)/4 + 984 Simplify (((sqrt(363) - ((-1 + sqrt(363) - sqrt(363)) + 2)) + -1)**2 + (sqrt(33) + 4*sqrt(297))/(3*sqrt(44)/sqrt(4)) + -1)*2. -238*sqrt(3)/3 + 732 Simplify -3*(2 + sqrt(68) + 1 + (1 + sqrt(68))*3)*3. -72*sqrt(17) - 54 Simplify (sqrt(448)*6 + -1 + 5 + (sqrt(448) + sqrt(448) + -6*(5 + sqrt(448)) - sqrt(448))*6)**2. 67584*sqrt(7) + 289024 Simplify (5 + (2 + -1 + 4 + sqrt(288))**2)*-5*3. -4770 - 1800*sqrt(2) Simplify ((sqrt(128) + 0 + sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128) + sqrt(384)/sqrt(3))*-2 + -4 + 4 + sqrt(242)*1 + 3)**2. -510*sqrt(2) + 14459 Simplify (-4 + sqrt(605)*1 - (sqrt(605)*1 + 0)) + 0 + (0 + sqrt(90)/sqrt(2) - sqrt(495)/(sqrt(33)/sqrt(3))). -4 Simplify ((-1*sqrt(270))/sqrt(9) + sqrt(30))/(4*sqrt(40)) - (sqrt(750)/sqrt(10) - sqrt(24)/(1*sqrt(8))). -4*sqrt(3) Simplify (-3*(6*sqrt(104)*2 - sqrt(104))*5)/(1*sqrt(2592) - 2*sqrt(3200)). 15*sqrt(13)/2 Simplify ((0 + sqrt(1872) + 5 + sqrt(1872) + (2 + sqrt(1872))*-4 - (4*(1 + sqrt(1872)) - (sqrt(1872)*-2 + 3 - sqrt(1872))))*-3)**2. 7776*sqrt(13) + 1364832 Simplify (((sqrt(156) + 4*sqrt(156))*2 - (sqrt(156) + (sqrt(156) - -5*sqrt(156))*-1))/(4*-3*3*sqrt(972)))**2. 325/11664 Simplify ((sqrt(147)*-2 + -1)**2 - (2*sqrt(147) + -3))*2 + (sqrt(147) + (0 + sqrt(147) + 4 - sqrt(147)))**2 + (sqrt(147) - (sqrt(147) + 2))*-1. 84*sqrt(3) + 1349 Simplify (-2 + 6*(-4 + (sqrt(75) - (sqrt(75) + 0 - sqrt(75)))*6)*-5 + 2)**2. -216000*sqrt(3) + 2444400 Simplify (-2 + -5 + (sqrt(1331) + sqrt(1331) + -3 + 2*sqrt(1331) - sqrt(1331)) + ((-1 + sqrt(1331))*-5 - 4*sqrt(1331)*-2))**2*-2. -95882 + 1320*sqrt(11) Simplify -3 + 3*(sqrt(125)*-1 + -1 + -2 - (-3*(sqrt(125) + sqrt(125) + -1 + sqrt(125))**2 + sqrt(125))*-4). -40548 + 1125*sqrt(5) Simplify ((-1*sqrt(459)*2 + sqrt(459))/((sqrt(9) - (sqrt(18)/sqrt(2) - sqrt(9)))*-1))/(sqrt(432)/(sqrt(441)*-3)). -21*sqrt(17)/4 Simplify (-6*(-4*sqrt(275)*-3 + -1 + (3*(sqrt(275)*-2 - sqrt(275)) + sqrt(275) + sqrt(275))*6))**2. 10800*sqrt(11) + 8910036 Simplify (((3*(sqrt(99) + sqrt(99) + -2*sqrt(99) + sqrt(99)) + sqrt(99)*2*4)/(-2*sqrt(9)*-2*4))**2 + -2)*4. 819/64 Simplify 3*-2*((4*sqrt(27) - sqrt(3) - (sqrt(324) + sqrt(36))/sqrt(12)) + ((2*sqrt(4752) - sqrt(4752)) + sqrt(4752) + sqrt(4752))/(sqrt(44)*-4)). -15*sqrt(3) Simplify (1 + 3*(sqrt(51)/sqrt(3) + -5 - -6*sqrt(51)/sqrt(3)))**2 - (((sqrt(34) - -2*sqrt(850))/sqrt(2))**2 + (sqrt(170) + sqrt(170)*-1*4)/sqrt(10)). -585*sqrt(17) + 5636 Simplify (sqrt(1008)*2 + 1 + 1 + sqrt(1008) + 3)**2*-4 - (-6*(6*(sqrt(1008)*2 - sqrt(1008)) + sqrt(1008)) + 1)**2. -1814501 - 432*sqrt(7) Simplify ((sqrt(64)*-1)/(sqrt(162) - sqrt(162)*2))**2*-4 - ((sqrt(10) - sqrt(110)/(sqrt(55)/sqrt(5)))/(sqrt(2450)/sqrt(10)))**2. -128/81 Simplify -4*((1 + sqrt(48) + 1*(sqrt(3) - sqrt(3)*2))**2 + -2*((sqrt(90)/sqrt(3))/sqrt(10) - (sqrt(12))**2*-3)). -16*sqrt(3) + 176 Simplify -5*((-6*2*(-1 + (5*(sqrt(363) + -5) - sqrt(363)) + 0))**2 + 0). -4668480 + 1647360*sqrt(3) Simplify -5*((sqrt(4)/sqrt(2) + 3)*-4 + sqrt(5000)*-1)**2. -29880 - 6480*sqrt(2) Simplify (sqrt(10)/(sqrt(4)/sqrt(2)) - (((sqrt(5) + -1)*-6)**2 - sqrt(5)) - (-1*(sqrt(5) - sqrt(15)/sqrt(3))**2 + 0)) + (3 + (0 + sqrt(245))*-3)**2 + -1. -52*sqrt(5) + 1997 Simplify (3 + -2 + sqrt(1377) + sqrt(1377)*2 + -4 - (-3*(sqrt(187)*3 + sqrt(187)) + sqrt(187) + sqrt(187) - sqrt(187) - sqrt(187))/(-3*sqrt(1584)))**2. -160*sqrt(17) + 108881/9 Simplify 0 + (sqrt(175)*-2 + -3 + sqrt(175) + sqrt(175)*-1 + -3 + (-4 + sqrt(175)*1 + 2)*5)**2. -480*sqrt(7) + 1831 Simplify -3 + 2 + (2 + 3 + 0 + sqrt(468))**2 + -2. 60*sqrt(13) + 490 Simplify -5 + ((sqrt(605) - (2 + sqrt(605)*-1 + sqrt(605) + sqrt(605)) - -5*sqrt(605)*1) + -2 + (sqrt(605) - (2 + sqrt(605) + 2)))**2. -880*sqrt(5) + 15184 Simplify (-4 + sqrt(612) + -1 + -1 + sqrt(612) + -4)**2 - (4 + (sqrt(17) - (sqrt(612) + 5))**2 + -3). -290*sqrt(17) + 2097 Simplify -1*(2 + ((0 + sqrt(847) + -5)**2 + (sqrt(847) + sqrt(847) + -2*1*sqrt(847) + sqrt(847))**2 - (-5*-2*-1*sqrt(847))**2)). 110*sqrt(7) + 82979 Simplify sqrt(11) + -1 + sqrt(176) + (sqrt(121) - 3*sqrt(121))/sqrt(11) + (-1*-1*sqrt(99))/(sqrt(1296)*-2). -1 + 71*sqrt(11)/24 Simplify (-5*(-1*2*sqrt(68) + sqrt(68) - (-1*sqrt(68)*3 - sqrt(68))))/((1*(sqrt(400) + sqrt(400)*2) - sqrt(400)) + -1*sqrt(400)*6). 3*sqrt(17)/8 Simplify (4*(sqrt(77) - (sqrt(77) - (2*sqrt(77) + sqrt(77))))*4*-4)/(sqrt(539)*-2 - (sqrt(11) + sqrt(121)/(sqrt(11) - sqrt(176)))). 144*sqrt(7)/11 Simplify sqrt(6)/(sqrt(3)*-2) + 4 + 1 - (sqrt(64)/(sqrt(1152)*-2))**2. -sqrt(2)/2 + 359/72 Simplify -4*((sqrt(96) + sqrt(96) + ((2*sqrt(96) - sqrt(96))*-5 + sqrt(96) - sqrt(96)))/(sqrt(72) + 2*sqrt(72) + (1*sqrt(6))/sqrt(3)))**2. -1728/361 Simplify ((5*sqrt(55)*-1)/(sqrt(11) + (sqrt(11) - 2*sqrt(1584))))**2 + ((1*(sqrt(405) - -3*sqrt(405)) - sqrt(405))/sqrt(9))**2. 196145/484 Simplify -3 + (2*sqrt(1800) - (sqrt(18) - (sqrt(2178)*-2 + sqrt(2178))))/(2*1*sqrt(6)*-2). -2*sqrt(3) - 3 Simplify (1*(5 + 1*((2*(0 + sqrt(567)) - ((sqrt(567) - (-1*sqrt(567) + -4)) + sqrt(567))) + 3)))**2. -72*sqrt(7) + 583 Simplify (-6*-1*2*-1*(4 + sqrt(245) + 3*-1*sqrt
{ "pile_set_name": "DM Mathematics" }
fy ((b/(b*b**(-18)))/b*b*(b/b**(-3))/b)/(b/(b**(7/3)/b*b)*(b**(-1/6)/b)/b) assuming b is positive. b**(49/2) Simplify ((w**(-9)/((w/(w**(2/15)/w))/w))**(1/31))**(-2/41) assuming w is positive. w**(296/19065) Simplify ((h*h**(1/5)*h)/(h/h**(8/11)))/(h**23/h*h**26) assuming h is positive. h**(-2534/55) Simplify (n*n**19*n/n**(-10))/(n**(7/3)*n*n**19) assuming n is positive. n**(26/3) Simplify ((s/(s/(s/s**5)))/s)**(-14)*(s**(7/4)*s*s)**(-1/35) assuming s is positive. s**(1957/28) Simplify ((k**(-2/71))**(3/25))**(-16) assuming k is positive. k**(96/1775) Simplify (t/((t/(t*(t*t/(t**12/t))/t))/t*t))/t*t/(t/(t/((t**(-1/13)*t)/t))*t)*(t*(t/(t**(-3/2)/t))/t)**(-4/23) assuming t is positive. t**(-3149/299) Simplify ((((b*b**0*b*b)/b)/b)**16/(b**(5/3)*b/(b*b/b**2)))**(2/67) assuming b is positive. b**(80/201) Simplify (p**3)**1/(p**(-13)*p**9) assuming p is positive. p**7 Simplify ((s/(s*s**(-1/18))*s)/(s*s/(s/(s/(s/s**(-2/49)))*s)))/(((s*s**(-19))/s)/s*s/(s**(-28)/s)) assuming s is positive. s**(-7853/882) Simplify (q/(q*q*q**(1/8)*q)*q*q)**(1/24)*(q/q**(1/4))**(-11) assuming q is positive. q**(-1585/192) Simplify ((g/(g/g**38))/g)/(g*g**(-1/5))*(g/(g/(g*g**4/g)))**(-2/3) assuming g is positive. g**(503/15) Simplify ((x/x**(-5))/(x**(2/5)/x)*(x/((x/(x**(-4)/x))/x))**28)**14 assuming x is positive. x**(-7378/5) Simplify ((k**(2/9)*k/k**1)**(1/19))**(-2/9) assuming k is positive. k**(-4/1539) Simplify (f/f**(-2/5))/(f*(f/(f**(10/9)/f))/f*f)*(f/(f*((f*f**(2/19)*f)/f)/f*f*f))/(f/f**(-6)) assuming f is positive. f**(-8203/855) Simplify (p/p**11*p**23)/(p/(p/(p**3*p)))**41 assuming p is positive. p**(-151) Simplify ((o/(o/(((o*o/o**(-13/5)*o)/o)/o*o)))/o*o*o**28)/(o**(-1)*o/((o*o*o**25*o)/o)*o) assuming o is positive. o**(293/5) Simplify ((k**(-2/5))**(2/33)/((k/(((k**(2/13)*k)/k)/k)*k*k)/(k*k*k**3)))**(3/7) assuming k is positive. k**(2423/5005) Simplify ((j/j**(-2))/j)**9/(j**(5/4)*j*j**(-9)*j) assuming j is positive. j**(95/4) Simplify ((n**(-6)*n*n**0*n)**(1/28))**46 assuming n is positive. n**(-46/7) Simplify ((r/r**(2/11)*r)/r*r**13)/((r*r/r**14)/(r*r**(-1/6)/r)) assuming r is positive. r**(1693/66) Simplify ((v**(-1/4)/v)**(2/191)/((v*(v/(v**5*v))/v*v)/v*v**6))**(5/11) assuming v is positive. v**(-1935/4202) Simplify ((a*a**(1/3)*a/(a/(a/(a**(2/9)*a))*a))/(a*a**0/a*a)**(-11/5))**44 assuming a is positive. a**(4576/45) Simplify (b**1*b/(b/((((b*b*b*b*((b*b**9)/b)/b)/b)/b)/b*b)))**(-26) assuming b is positive. b**(-286) Simplify (o**3)**(-22)/((o*o**9/o)/(o/(o*o/(o*o**(6/11)/o*o*o))*o)) assuming o is positive. o**(-797/11) Simplify (n**2/n**11*((n**(3/4)*n*n*n)/n)/(n/(n/((n*n*n/(n*n**(4/7))*n)/n))))**(-11/3) assuming n is positive. n**(2365/84) Simplify ((m**(-21))**(-17))**19 assuming m is positive. m**6783 Simplify ((m**(2/7)*m*m**(-10/9)*m)**(-12/5))**(5/3) assuming m is positive. m**(-296/63) Simplify (d**(-4))**(-45)/(d*d/((d*d**(-11/2)*d*d)/d*d))**(10/11) assuming d is positive. d**(1935/11) Simplify (d/(d**(-3/7)/d*d*d))**(3/5)*(d*d**(-2)*d*d)**(-47) assuming d is positive. d**(-1636/35) Simplify (((p**3)**(-49))**(-30))**9 assuming p is positive. p**39690 Simplify (h**(1/3)*h)/h**2*h**7*h**(-1/9) assuming h is positive. h**(56/9) Simplify ((((z*z**(2/15)/z)/z)/(z**(-1/15)*z))**(-38))**(-48) assuming z is positive. z**(-16416/5) Simplify ((v**(-2/5)*v/((v/(v*v/v**(-3)*v))/v))**34)**5 assuming v is positive. v**1122 Simplify (p*p/(p/(p/(((p*p*p/(p/p**(-7))*p)/p)/p))*p))**(-40)/(p/p**(3/5)*p/p**10) assuming p is positive. p**(-1357/5) Simplify (j**(-2))**(-25)/(j**3*j**(-14/3)) assuming j is positive. j**(155/3) Simplify (v*v/(v*v/((v**1*v)/v))*v*v*v*v)**(-2/3)*(v**(-1))**(1/29) assuming v is positive. v**(-293/87) Simplify (x**6/x)**(-2/7)/(x**18*x**1) assuming x is positive. x**(-143/7) Simplify (j/(j/(j*j*((j*j*((j**1*j)/j)/j)/j)/j))*j)**13*(j**(2/9))**(-14/3) assuming j is positive. j**(1025/27) Simplify s*(((s/(s*s**(-12))*s)/s)/s)/s*s*s/(s/(s*(s/(s*((s**8/s)/s)/s*s))/s))*s*(s**(-2/11))**1 assuming s is positive. s**(75/11) Simplify (((w**(-5/6)*w)/(((w/((w**0*w)/w))/w*w*w)/w))/(w*w/w**(2/9)*w*w*(w**(-1/7)*w)/w))**(-2/189) assuming w is positive. w**(563/11907) Simplify ((f*f/(f/((f/(f/(f*f*f**9*f)))/f)*f))**(-4/15))**(11/7) assuming f is positive. f**(-484/105) Simplify ((k**(-22)/k)**(-2/37))**(1/2) assuming k is positive. k**(23/37) Simplify (k*k*(k**7/k)/k)**36/((k*k**9)/(k/((k*k/(k**(2/39)*k*k))/k*k))) assuming k is positive. k**(9479/39) Simplify (w/(w/(w*w/w**(3/10)*w)*w))**(-4/15)/(w**(-8))**5 assuming w is positive. w**(2966/75) Simplify (n*n**0*n**0)/(n*n*n**(-6)*n**(-10)) assuming n is positive. n**15 Simplify l/((l**(14/3)*l)/l)*l*l**11*((l**(-5)*l)/l*l)/((l/(l*l**(-3/5)/l*l*l*l))/l*l) assuming l is positive. l**(86/15) Simplify (r*r**(4/15)*r*r*r)/r**20*(r*r/r**(-7))**19 assuming r is positive. r**(2329/15) Simplify (x/x**(-1/21))/(x*x**(-19/4)*x)*(x**(-1/4)/x)**29 assuming x is positive. x**(-1363/42) Simplify ((d/d**(15/4))/d)**42/((d*(d*d**0)/d)/d**7) assuming d is positive. d**(-303/2) Simplify ((a*a**(-1/10)/a)/a)**(-49)*a**(-16)/a*a*(a/(a/a**(1/4)))/a assuming a is positive. a**(743/20) Simplify ((i**9/i)/i)**(1/2)*i**18*i*i*i**(-19)*i assuming i is positive. i**(11/2) Simplify (((o/o**(-2/9))/o*(o/o**(-2)*o)/o)**23)**(6/13) assuming o is positive. o**(1334/39) Simplify ((v/(v*v**2*v)*v*v*v**(-3))/(v**(2/13)*v*v**(-3)))**(-28) assuming v is positive. v**(784/13) Simplify ((d*(d/(d*d*d**(-1/3)*d))/d)/d*d)**28/((d**1/d)/d**10) assuming d is positive. d**(-110/3) Simplify (l**(-1/5)/l**(-1/3))/(l**5*l**(-1/2)) assuming l is positive. l**(-131/30) Simplify (f/((f**(1/18)*f)/f))**(-36)/((f*f/(f*f*f**10*f))/f*f/(f*f**(-2/7))) assuming f is positive. f**(-156/7) Simplify ((k**(-14)*k)/k**18)/(k**(-2/15)*k**(4/9)) assuming k is positive. k**(-1409/45) Simplify (t**(-1/5))**(-1/61)/((t*t**(2/7))/t)**(-5/16) assuming t is positive. t**(1581/17080) Simplify (((z*z/((z*z**(1/6))/z)*z)/z**(3/10))/(z*((z*z/(z*z**(6/7))*z)/z*z)/z*z**(-2)))**(-4/19) assuming z is positive. z**(-1424/1995) Simplify (((j*j**(-14))/j)/j**6)/((j/(j**(-1/17)*j))/j**(-1/16)) assuming j is positive. j**(-5473/272) Simplify (l/((l**(-12/5)/l)/l))/(l*l*l**(3/10)*l*l)*(l/(l**15*l)*l)**(-23) assuming l is positive. l**(3231/10) Simplify ((p**(2/51))**4)**5 assuming p is positive. p**(40/51) Simplify (q**(-7/5)/q**8)/(q**(-1)*q/(q/(q**(-10)/q))) assuming q is positive. q**(13/5) Simplify s/(s/s**(4/9))*s/(s/(s**(-28)*s))*(s/(s*s*s**(2/77)))/(s/(s/s**(-6))) assuming s is positive. s**(-14956/693) Simplify (q/q**4*q*q)**(-20)/(q**(-7))**(-5) assuming q is positive. q**(-15) Simplify ((w*w/(w**(-2/7)*w*w))**(-5/12)/(w*w**(-2/7))**(-11))**(-2/3) assuming w is positive. w**(-325/63) Simplify t**(14/9)*t**3*t**(1/17)*t**(-2/3) assuming t is positive. t**(604/153) Simplify (q*q**(2/7))**17*(q**(-2))**(-2/49) assuming q is positive. q**(1075/49) Simplify (a**2/(a/a**(-11)))/((a/(a/(a/(a/(a/((a/(a**(-1)/a))/a)*a)*a)))*a)/(a*a*a*a**(3/2)*a)) assuming a is positive. a**(-9/2) Simplify (((n*n*(n*n**1*n)/n)/n**(-3))/(n/(n**(2/9)/n))**(-4))**26 assuming n is positive. n**(3302/9) Simplify (c/c**(-1/16)*c*(c*c**2)/c)/((c/(c*c**(4/5)*c))/(c/(c*c**(-12)/c)*c)) assuming c is positive. c**(1589/80) Simplify ((d/(d/(d/d**(4/17))))**(1/6))**(1/46) assuming d is positive. d**(13/4692) Simplify u/(u**(-8/9)/u*u*u)*(u*u**3*u*u)/u*u*(u*u*(u/(u/(u*u*(u/(u*u**14))/u)))/u)/u**(-3/2) assuming u is positive. u**(-65/18) Simplify ((b*(b/b**(-8))/b)/b*(b*b**(-6))/b)**(16/3) assuming b is positive. b**(32/3) Simplify (((k/k**(-1/3))**(3/2))**(-14))**(-31) assuming k is positive. k**868 Simplify (((h**7*h)/h)/h)**(-6/5)/(h**(2/17)/(h*h*h/h**(-5/3)*h*h*h)) assuming h is positive. h**(89/255) Simplify (y**(1/11)*y**(1/3)*y*(((y/(y/y**0*y))/y)/y)/y*y**(-5/4))**(-2/25) assuming y is positive. y**(101/330) Simplify v/(v/(v**3*v*v))*v**(-2/3)/v*(v**(2/3))**(-7/6) assuming v is positive. v**(23/9) Simplify f**(-9)/(f*f**(-2/23))*(f**12*f)/f*f/(f/(f*f*f**(-10)*f)) assuming f is positive. f**(-113/23) Simplify (l**21*l**1)**(-29) assuming l is positive. l**(-638) Simplify (((a/(a**(-2/57)*a))/(a*a**(-9)*a))**(-10/9))**(-1/8) assuming a is positive. a**(2005/2052) Simplify (w**(-1/9)*w**(-1/8))/((w/(w*(w/
{ "pile_set_name": "DM Mathematics" }
et n(a) be the first derivative of a**3/3 + a**2/2 + 3*a - 86. What is n(x)? 23 Let s(a) = 3*a + 34. Suppose 218 = -33*g - 25*g - 420. Give s(g). 1 Let x(p) = -23*p**2 + 27*p - p**3 + 0*p**3 + 29*p**2 + 13 - 33*p. What is x(5)? 8 Let f(c) = -2983*c**3 - c - 17*c**2 - 2984*c**3 + 4*c + 5968*c**3 - 37. Determine f(17). 14 Let t(z) = 6*z - 93. Let c be -1*(-488)/36 - (-11)/(1881/76). Determine t(c). -9 Let w(n) = -3*n**2 - 7*n + 8. Let u = 11 + -15. Let c(j) = j**2. Let l be ((70/(-10))/(-7))/(0 - 1). Let g(t) = l*w(t) + u*c(t). Calculate g(6). -2 Suppose -177*m - 20 = 3*j - 176*m, 0 = 2*m - 2. Let t(y) = y**3 + 5*y**2 - 20*y - 28. Calculate t(j). 14 Let c(u) = 5*u**3 + 7*u**2 - 8*u - 12. Let y(i) = -5*i**2 - 2*i + 2. Let w(j) = c(j) + y(j). Calculate w(-1). -3 Let a = 11803/6 - 1967. Let s(v) be the third derivative of 0 - 31*v**2 + 1/2*v**4 + 0*v + a*v**3. Give s(1). 13 Let i(d) = -10*d**2 - 6*d - 16. Let y(f) = -3*f**2 - 2*f - 5. Let n be 442/52 + -1*(-6)/(-4). Let r(x) = n*y(x) - 2*i(x). Calculate r(-4). -11 Let m(x) = x**3 + 3*x**2 - 3*x - 5. Suppose -22*f + 23*f = 89. Let z = f - 164. Let s be (-5)/2*(-120)/z. Calculate m(s). -9 Suppose -8*i = 2*i - 470. Suppose i - 29 = 6*o. Let t(y) = 5*y - 9 + o - 4*y - 3*y. Calculate t(-7). 8 Let h(m) = -8*m**2 + 6*m - 18. Let w(d) be the first derivative of -17*d**3/3 + 13*d**2/2 - 39*d + 258. Let a(q) = -13*h(q) + 6*w(q). Determine a(1). 2 Suppose 5*m + 2*z - 19 = 0, -z - 4*z = 15. Let f(s) = -2 - 7*s**2 + 1 - 17*s**2 + 23*s**2 + 5*s + m. What is f(7)? -10 Let h(f) = -f**3 - 7*f**2 + 2*f + 2. Let b be (32 + 2)*1/4*-2. Let q be (b/(-4))/((-75)/20 + 4). Suppose 0 = -4*y + 2*y - 3*i - q, 5 = -5*i. Give h(y). -12 Let p = -277 + 279. Let s(o) = 2*o**2 - o - 2. Let t(j) = -5*j**2 - 6*j - 5. Let m(q) = p*s(q) + t(q). Determine m(-7). -2 Let a(r) be the first derivative of r**3 + 3/2*r**2 + 0*r + 28. Determine a(-3). 18 Let g(z) = z**3 + 4*z**2 - 7*z - 5. Let n = 33716 + -33721. What is g(n)? 5 Let p be -2 + (-35)/42 + (-50)/(-60). Let r(d) = 5*d**3 - 3*d**2 - 3*d + 3. Give r(p). -43 Let b(n) = -2 + 8215*n - 10*n**2 + 0 - 8218*n. Give b(-1). -9 Let z = 1236 + -1238. Let n(f) = -7*f + 6. Let u(a) = 15*a - 10. Let s(k) = 45*k - 31. Let h(b) = -3*s(b) + 8*u(b). Let j(v) = z*h(v) + 5*n(v). What is j(5)? -21 Let b(c) = -161*c - 3. Let u be b(-1). Let o(m) = -m**2 + 163*m - m**2 + 6 - m**3 - u*m - 2*m**2. Let y = -90 - -85. What is o(y)? 6 Let p(y) be the second derivative of 2/3*y**3 - 5/24*y**4 - 1/60*y**5 - 31/2*y**2 - 26*y + 0. Let f(k) be the first derivative of p(k). What is f(-6)? -2 Suppose -2042*z + 406 + 1636 = 0. Let w(k) = -3*k + k**2 + 0*k**3 - 8*k**3 + 2*k. Calculate w(z). -8 Let l(h) be the third derivative of -h**5/60 - 5*h**4/12 + 17*h**3/6 + h**2 - 303. Let o be (-74)/6 + (-22)/(-66). What is l(o)? -7 Let v = 1 + 4. Let s(j) = -4*j - 9. Let f(t) = t + 2. Let a(r) = -5*f(r) - s(r). Calculate a(v). -6 Let p = 10523 - 10506. Let q(r) = r**3 - 16*r**2 - 13*r - 75. Determine q(p). -7 Suppose 2*d + 2 = -2*q, -2*d - 5*q = -q + 4. Suppose -5*u + 31 = -d*u - 2*v, -v - 28 = -5*u. Let k(x) = x**2 - 3*x + 1. Calculate k(u). 11 Let c = -17199/10 - -1720. Let z(k) be the second derivative of 23*k - 1/12*k**4 - c*k**5 - 1/6*k**3 + 1/2*k**2 + 0. What is z(-2)? 15 Let a(w) be the third derivative of -w**5/60 + 3*w**4/8 + 13*w**3/3 - 364*w**2 - 2. Calculate a(10). 16 Let z(h) be the third derivative of 1/24*h**4 + 1/60*h**5 + h**2 + 1/120*h**6 - 143 - 7/6*h**3 + 0*h. What is z(0)? -7 Let r(n) = 6 - 5*n - 13 - 7*n + 11*n - 11. Determine r(-17). -1 Let s = -215 - -232. Let v(c) = 16 - 3*c + 5*c - s + c. Calculate v(-8). -25 Let u be ((-4)/(-2))/1 - -355 - 1. Let r be (-1)/(-2*(-4 + 1422/u)). Let d = 86 + r. Let j(x) = x**2 - 4. Calculate j(d). 5 Let b(n) be the second derivative of n**5/20 + n**4/2 + n**3 - 3*n**2/2 + n - 175. Let f = -18 - -13. Give b(f). -8 Let o(t) = -3*t + 3. Let m be 20*(-5)/30*-3. Suppose 0 = m*r - 14*r + 24. Determine o(r). -15 Let o = -7 + 9. Let k(f) = 6*f - 7. Let t be (1*-2*-2)/(12 - 11). Let b(x) = -5*x + 6. Let y(d) = t*k(d) + 5*b(d). Determine y(o). 0 Let y(v) = 46 - 16 + 17*v**2 - 17 - 18*v**2 - v - 14. What is y(3)? -13 Let f be -2 - 4 - (-4 + 20)*(-3)/2. Let y(h) = -h**3 + 18*h**2 + 2*h + 13. Determine y(f). 49 Let g = 1/4645 - -32513/9290. Let v(r) be the first derivative of 7/3*r**3 - g*r**2 - 1/4*r**4 - 14 - 2*r. Calculate v(5). 13 Let o = -275 + 288. Let f(w) = -7*w + 2*w**2 + 9*w + 2251*w**3 - 2252*w**3 + 8*w + 6*w**2 - o. Calculate f(9). -4 Let n(i) = i**2 + 3*i - 1. Suppose -54 = 4*f + 2*f. Suppose l + l - 8 = 0. Let t = f + l. Give n(t). 9 Let a be (-4 - 0) + (-30)/(1/(-1)). Let l(c) = -a + c**2 + 21 - 8*c + 14*c + 4*c. Suppose 11*s - 8*s = -30. Determine l(s). -5 Let d(y) = 3*y - 5. Let i be d(8). Suppose -m - 2*t = -11, -6*m + i = -2*m + 3*t. Let f(a) = -1 - 5*a - m + 88*a**2 - 94*a**2 - a**3. Calculate f(-5). -2 Let w(f) = f**3 + 26 + 221*f**2 + 9 + 232*f**2 - 32*f - 459*f**2. What is w(9)? -10 Let i(g) = -5*g + 103. Let z(j) = 14*j - 194. Let f(v) = 15*i(v) + 8*z(v). Give f(1). 30 Let t(v) = -v**3 + 25*v**2 + 27*v - 16. Let d = -736 - -762. Calculate t(d). 10 Let g(v) = v**2 + 7*v + 2. Let i = 673 - -224. Let f = i - 902. Calculate g(f). -8 Let s(g) = -151*g + 1512. Let d be s(10). Let o = 20 + -8. Let x(t) = o*t - 11*t - t**d + 4*t - 5. What is x(4)? -1 Let h(g) be the second derivative of g**3/6 + 9*g**2/2 + 229*g. Let z(m) = -m**3 + 3*m**2 + 2*m - 2. Let d be z(4). Give h(d). -1 Let v = -253 - -259. Suppose -7*s - 41 + v = 0. Let y(a) be the first derivative of a**3/3 + 3*a**2/2 - a - 3. What is y(s)? 9 Let t = -12 + 52. Suppose t = 5*p - 3*p. Let s be ((-18)/15)/(4/p). Let i(o) = -2*o - 5. Determine i(s). 7 Let k(l) be the first derivative of l**4/4 - 9*l**2/2 + 9*l - 4209. Give k(2). -1 Let l(p) = 4*p - 1. Let m be (3/(-6))/(2/988). Let q = 249 + m. What is l(q)? 7 Let i(d) be the first derivative of 14/3*d**3 + 13/2*d**2 - 183 + 1/4*d**4 - 5*d. Give i(-13). -5 Suppose 0 = 4*a + 2*p - 86, -4*a - 28 + 111 = 5*p. Let k(j) = -a*j + 5*j + 11*j - 9 + 8*j. Give k(7). 5 Let b(v) be the second derivative of 5*v**3/6 - 11*v**2/2 + 6*v. Let r be b(3). Suppose -2 = r*h + 2*q, 3*h - q + 0 = -14. Let k(w) = 2*w - 4. Calculate k(h). -10 Let d(w) = 8 - 2*w**2 - 8*w - 7*w**2 - 7869*w**3 + 15739*w**3 - 7871*w**3. What is d(-8)? 8 Suppose -20*c = -18*c - 144. Suppose 8*f + c = 26*f. Let s(j) = j**3 - 5*j**2 - 6*j + 6. Determine s(f). -34 Let u(f) be the third derivative of -f**4/24 + 67*f**3/6 - 315*f**2 - 12. What is u(-24)? 91 Let b be (4/10)/(-16 + 2898/180). Let x(l) = 2*l**2 + 5*l - 41. Determine x(b). 11 Let x(p) be the first derivative of p**3/3 + 5*p**2/2 - 85*p + 2768. Calculate x(-12). -1 Let w be 442/(-6) + 36/(-27). Let d be w/(-9) - (-2)/(-6). Let n(c) = c**2 - 3 + 14*c - d*c - 6*c. Determine n(3). 6 Let h(z) be the first derivative of z**4/4 - 2*z**3 - 3*z**2/2 + 8*z - 4940. Calculate h(7). 36 Let k(p) be the second derivative of p**5/20 + 7*p**4/12 + 2*p**3 + 5*p**2/2 - 3*p + 86. Calculate k(-5). -5 Let x(c) = c**3 - 11*c**2 - 11*c - 15. Suppose 0 = -23*g + g + 660. Suppose 0 = -r + 42 - g. Determine x(r). -3 Let i(b) = -b + 51 + 34*b - 177 - b**2 - 7*b. What is i(6)? -6 Suppose -3284*r + 3266*r = -54. Let k(c) be the third derivative of 0 - 1/24*c**4 + 0*c - 1/60*c**5 + 2/3*c**r + 8*c**2. Calculate k(3). -8 Let j(q) be the second derivative of 2*q**3 - 13*q**2 + 92*q. Let i(m) = -7*m + 13. Let x(b) = -5*i(b) - 3*j(b). Give x(12). 1 Let s be ((7 - -5) + -5)*1. Let w(n) = 6 + 2 - s - 13*n. Let l(r) = -6*r + 1. Let x(h) = 5*l(h) - 2*w(h). Calculate x(3). -9 Let r(p) = -4*p + p**2 + 1 + 8 - 31 - 7*p. Determine r(12). -10 Suppose -5*z - 65 = 5*q, -4*q = -q + 2*z + 38. Let i = -12 - q. Let v(c) = 2 - c**3 + c + c**2 - 3 + 0*c. Calculate v(i). -1 Let y(i) = -i**2 + 3*i + 16. Let j(a) = 4*a - 2 - a**2 + 0*a + 20. Suppose 797 = 34*g + 933. Let o(k) = g*j(k) + 5*y(k). Calculate o(0). 8 Let s(o) = 4*o**2 - 4*o + 2. Suppose -10 = -13*f + 14*a - 17*a, 0 = -5*f - 5*a. Calculate s(f). 2 Let g(s) = -2*s**2 - 51*s - 29. Let n = 701 - 726. Calculate g(n). -4 Let b(u) = 3*u - 11. Let w = -493 + 493. Determine b(w). -11 Suppose -23*y - 540 = -1046. Let h(b) = -b**3 + 23*b**2 - 21*b -
{ "pile_set_name": "DM Mathematics" }
03*c**2 + 8*c - 1277*c**2. 77*c**2 + 8*c Collect the terms in -6*f**3 - 88471696*f + 88471696*f + 41*f**2 + 3*f**2. -6*f**3 + 44*f**2 Collect the terms in -1 + 87564885*m - 5 + 6 - 87564852*m. 33*m Collect the terms in -9 - 15901*o - 6 - 13 + 28. -15901*o Collect the terms in -2755473*y**3 + 5510819*y**3 - 2755354*y**3. -8*y**3 Collect the terms in 61138*h - 122870*h + 61708*h. -24*h Collect the terms in 23*w + 39*w - 62*w - 22240*w**2. -22240*w**2 Collect the terms in 6 - p**3 + 2800932*p - 2800934*p + 3*p**3 - 6. 2*p**3 - 2*p Collect the terms in 110640*x + 2 - 4*x**2 - 221272*x + 110632*x. -4*x**2 + 2 Collect the terms in 1740*z + 834*z + 82*z. 2656*z Collect the terms in 10*c + 2606051391391926 - 2606051391391926. 10*c Collect the terms in -11443*p + 3021*p + 2593*p + 2982*p + 2944*p. 97*p Collect the terms in -1 - 12798348993*i**2 + 1 + 12798348971*i**2. -22*i**2 Collect the terms in 4*q**3 - 539228*q - 539222*q - 2*q**3 + 2156895*q - 539223*q - 539222*q. 2*q**3 Collect the terms in -15168*u**2 + 30299*u**2 + 3*u - 15130*u**2. u**2 + 3*u Collect the terms in 44612*p - 5061 + 5061. 44612*p Collect the terms in -7316 - 7314 + 671*n**2 + 14630. 671*n**2 Collect the terms in -66 + 134 + 2636*f - 65 + 640*f. 3276*f + 3 Collect the terms in 2 + 7447*t**2 + 4455*t**2 - 7*t + t. 11902*t**2 - 6*t + 2 Collect the terms in 7670*o + 83*o**2 + 85*o**2 - 167*o**2. o**2 + 7670*o Collect the terms in 1526*g**3 - 3855*g**3 + 2301*g**3. -28*g**3 Collect the terms in -4*z - 2*z + 6*z + 759296*z**2. 759296*z**2 Collect the terms in 586*v**2 - 918*v**2 + 335*v**2. 3*v**2 Collect the terms in 1425689 + 3*o + 2*o - 7*o + 0*o. -2*o + 1425689 Collect the terms in 127 - 253 - 3312*p + 63 + 62. -3312*p - 1 Collect the terms in -59*o**2 - 149*o**2 - 13*o**2 - 415*o**2 - 289*o**2. -925*o**2 Collect the terms in 19964*n**2 - 14076*n**2 - 5888*n**2 - 2*n**3. -2*n**3 Collect the terms in 4*m - 10930 + 5*m**2 - 3*m**2 + 10380. 2*m**2 + 4*m - 550 Collect the terms in -40 - 35 + 11*o**3 - 2929*o + 73 + o**2. 11*o**3 + o**2 - 2929*o - 2 Collect the terms in -13 + 58 - 35 - 421*o**3 - 1275*o**3 - 10. -1696*o**3 Collect the terms in y**3 - 3*y - 41*y**3 + 1741*y**2 + 4*y + 39*y**3. -y**3 + 1741*y**2 + y Collect the terms in -30 - 38 - 246*y - 83 - 118*y + 350*y. -14*y - 151 Collect the terms in -57*i - 46*i + 403*i - 310*i. -10*i Collect the terms in 19220*k + 19383*k - 38609*k + 1243 - 1243. -6*k Collect the terms in -1952*t**2 - 6 - 7 - 2 - 3*t + 20 - 6. -1952*t**2 - 3*t - 1 Collect the terms in -229920750*v + 229922113*v + 2*v**3 + 0*v**3. 2*v**3 + 1363*v Collect the terms in -853*z - 791*z + 2485*z - 852*z. -11*z Collect the terms in -137087*y - 137085*y + 273024*y. -1148*y Collect the terms in 1441652*i + 1441654*i - 2883297*i. 9*i Collect the terms in -13416*r + 31*r**2 + 13416*r + 34*r**2 + 180*r**2 - 241*r**2. 4*r**2 Collect the terms in 10 - 9*b + 2 + 11*b + 6*b + 5*b - 12. 13*b Collect the terms in 3*q**2 + 5071 + 3117 - 8188. 3*q**2 Collect the terms in 206*t**2 - 52*t + 170*t - 53*t - 65*t + 2 + 794*t**2. 1000*t**2 + 2 Collect the terms in 19459473*d**2 + 4*d - 4*d + 254617939*d**2. 274077412*d**2 Collect the terms in -20*q**2 + 54*q**2 - 35*q**2 - 67*q. -q**2 - 67*q Collect the terms in -2623 - 1883*p + 2146 + 3770*p - 1885*p - 10526. 2*p - 11003 Collect the terms in -449*q - 689*q - 444*q - 454*q + 2029*q. -7*q Collect the terms in 137865 - 1986*l**3 + 137864 - 275729. -1986*l**3 Collect the terms in -19415727 + 867*z + 19415727. 867*z Collect the terms in 19039*h + 24811*h + 24806*h - 68651*h. 5*h Collect the terms in -s**2 - 123*s + 86*s - 50*s - 128*s. -s**2 - 215*s Collect the terms in -56*r**3 - 49*r**3 + 491*r**2 + 9569*r**2 + 107*r**3. 2*r**3 + 10060*r**2 Collect the terms in 554856*k - 2*k**3 - 6*k**3 + 9*k**3 - 3*k**3. -2*k**3 + 554856*k Collect the terms in 917 + 5818 - 5*m - 8*m. -13*m + 6735 Collect the terms in 433 - 1393 + 537 + 349*p + 423. 349*p Collect the terms in -289177880461*u + 6*u**2 + 289177880461*u. 6*u**2 Collect the terms in -198300 + 198300 + s + s - 2*s + 7*s**2 + 0*s**2. 7*s**2 Collect the terms in -165*k - 129*k + 514*k + 3 + 99*k + 499*k. 818*k + 3 Collect the terms in 41*y + 42*y - 505*y + 424*y. 2*y Collect the terms in -492*q**2 - 114*q**2 + 610*q**2 - 13*q. 4*q**2 - 13*q Collect the terms in -7 + 14460*d - 29707*d + 7. -15247*d Collect the terms in 4737*b - 13687*b + 5334*b + 4609*b. 993*b Collect the terms in -578*k + 241*k + 22*k**2 - 132*k**2 + 337*k. -110*k**2 Collect the terms in 3724*g - 30 - 11 - 13 + 54. 3724*g Collect the terms in 1 - 4752*o**3 + 2973*o**3 + 2953*o**3. 1174*o**3 + 1 Collect the terms in 172*t**3 - 32*t**2 + 5 + 4*t**2 - 18*t**2 - 2. 172*t**3 - 46*t**2 + 3 Collect the terms in 733*h - 177*h + 3*h**2 + 715*h + 3*h**2 + 128*h. 6*h**2 + 1399*h Collect the terms in -3484181 + 118*s - 3484179 + 6968360. 118*s Collect the terms in 6766*q**3 - 6119*q**3 + 0*q + q. 647*q**3 + q Collect the terms in 3 - 12308139785*x**3 - 3 + 12308139835*x**3. 50*x**3 Collect the terms in -264293*o**3 + 264331*o**3 - 13*o**2 + 30*o**2 - 6*o**2 - 11*o**2. 38*o**3 Collect the terms in 1827*l - 1138 + 4569 - 1145 + 201*l - 1141 - 1144. 2028*l + 1 Collect the terms in 9*j + 35985916 - 35985916. 9*j Collect the terms in 15*j**2 + 5 + 38*j + 46*j - 134*j + 7*j**2 + 45*j. 22*j**2 - 5*j + 5 Collect the terms in -3361 - 37*l - 3427 + 35*l + 10219 - 3431. -2*l Collect the terms in 159*l + 84*l + 64*l - 290*l. 17*l Collect the terms in 1673 + 1837 - 8*m + 7*m + 1301*m**3. 1301*m**3 - m + 3510 Collect the terms in -127*w + 192*w + 40*w**3 - 79*w**3 - 67*w - 21*w**3. -60*w**3 - 2*w Collect the terms in 7326*u - 11177*u + 3847*u. -4*u Collect the terms in -5485*y**3 + y**2 - 5337*y**3 - 19 + 19 + 16160*y**3 - y**2 - 5340*y**3. -2*y**3 Collect the terms in -714*n + 11252 + 11246 - 22498. -714*n Collect the terms in -5629 + 1876 + 1875 + c - 13*c**2 + 6*c**2 + 1876. -7*c**2 + c - 2 Collect the terms in -22272*d**2 + 39096*d**2 - 16832*d**2 - 3*d. -8*d**2 - 3*d Collect the terms in 161 + 165 + 159 + 14110*h - 485. 14110*h Collect the terms in 12*w - 3*w - 8*w - 20080 + 20028. w - 52 Collect the terms in -o - 651860227 + 5*o + 651860227. 4*o Collect the terms in -10833029494356*q**2 + 10833029494356*q**2 + 8*q**3. 8*q**3 Collect the terms in 310*v**2 - 184*v**2 - 217*v**2 + 792*v**2 - 267*v**2. 434*v**2 Collect the terms in -297575*a - 278228*a + 575813*a. 10*a Collect the terms in -8 + 7 + 175*s - 168*s - 8 + 7 + 1. 7*s - 1 Collect the terms in -93 - 47 - 51 + l**3 + 3*l**2 + 4*l**2 - 2*l**2. l**3 + 5*l**2 - 191 Collect the terms in 157*s + 165*s + 26*s - 129*s**3 - 513*s + 165*s. -129*s**3 Collect the terms in 5067 + 17727*f**3 - 5067. 17727*f**3 Collect the terms in -39*d**2 - 41*d**2 - 36*d**2 + 103*d**2. -13*d**2 Collect the terms in 6 - 6 + 229*j**3 - 685*j**3 + 454*j**3. -2*j**3 Collect the terms in 3*x**2 + 195*x + 72062738 - 72062738. 3*x**2 + 195*x Collect the terms in -18166 - 15*j**3 + 22*j**3 + 166*j**3 + 18166. 173*j**3 Collect the terms in 70*z - 70*z - 46*z**3 - 75*z**3 - 69*z**3 + 146*z**3 - 32*z**3. -76*z**3 Collect the terms in 2*w - 18*w + 56*w + 0*w**2 + 0*w**2 - 3*w**2 + 9*w. -3*w**2 + 49*w Collect the terms in 22 - 22 - 145*b + 23 - 8 - 15. -145*b Collect the terms in 75*y**2 - 75*y**2 + 59*y**3 + 31*y**3 + 75*y**3. 165*y**3 Collect the terms in -17639*l**2 + 53012*l**2 - 17644*l**2 - 17668*l**2. 61*l**2 Collect the terms in -51*w + 33*w**3 + 71 - 7*w - 32*w**3 - 388. w**3 - 58*w - 317 Collect the terms in 22531*w**2 + 22064*w**2 - 44527*w**2. 68*w**2 Collect the terms in -631*a - 4*a**3 - 411*a - 404*a + 1446*a. -4*a**3 Collect the terms in -2*a + 75 - 75 - 1572*a**3 - 36*a + 38*a. -1572*a**3 Collect the terms in 59943*i - 24*i**3 - 27*i**3 + 39*i**3. -12*i**3 + 59943*i Collect the terms in -150767*f + 37733*f + 37770*f + 37692*f + 37705*f. 133*f Collect the terms in 15 + 0 + 9*j + 39 - 993*j**2 - 9*j. -993*j**2 + 54 Collect the terms in -8 + 0*r + 2*r - 69 + 9*r**2 - 8 - 4*r - r. 9*r**2 - 3*r - 85 Collect the terms in 36*a**2 + 3*a - 2717 + 17821 - 3*a. 36*a**2 + 15104 Collect the terms in 227*v**2 + 281*v**2 - 2*v + 137126 - 137126. 508*v**2 - 2*v Collect the terms in -895*w + 232*w + 219*w + 234*w + 214*w. 4*w Col
{ "pile_set_name": "DM Mathematics" }
- 3*c = -51, -q + 5*c = -12 - 5. Find the third derivative of 4*l**4 - q*l**2 + 6*l**2 + l**6 - 4*l**4 wrt l. 120*l**3 Let o be (-21 + 19)/(4/(-6)). Find the first derivative of 11 + 14*k**o - 4 + 1584*k - 1584*k wrt k. 42*k**2 Differentiate -22*q - 23 + 28*q + 75*q + 35*q wrt q. 116 Let y = -18 + 16. Let u(m) = m + 4. Let l be u(y). Find the third derivative of -3*r**6 - 2*r**2 + 0*r**l - 2*r**6 + 5*r**2 wrt r. -600*r**3 Let o(m) = -145*m**3 + 22*m**2 - 511*m + 9. Let q(w) = 36*w**3 - 5*w**2 + 128*w - 2. Let c(z) = 2*o(z) + 9*q(z). Find the second derivative of c(x) wrt x. 204*x - 2 Suppose -6*i - 5*y + 97 = -2*i, -111 = -5*i + 4*y. Suppose -l - i + 25 = 0. Find the third derivative of 0*q**l + 2*q**2 - 3*q**2 + 3*q**3 - 2*q**3 wrt q. 6 Let s(w) = 8*w**2 - 11*w - 9. Suppose 11 + 21 = 8*h. Let f(l) = 3*l**2 - 4*l - 3. Let z(d) = h*s(d) - 11*f(d). What is the first derivative of z(o) wrt o? -2*o Find the second derivative of -4 + 310*f**2 + 0 - 97*f + 412*f**2 + 26*f**2 + 8 wrt f. 1496 Let t(a) be the third derivative of 283*a**5/20 + 341*a**3/2 - 77*a**2. Differentiate t(w) with respect to w. 1698*w Let w(t) = -11*t**3 + 72*t**2 + 30*t. Let r(u) = -6*u**3 + 36*u**2 + 15*u. Let k(g) = -7*r(g) + 4*w(g). Find the second derivative of k(m) wrt m. -12*m + 72 Let c(g) be the second derivative of -9*g**5/10 - 131*g**2/2 + 130*g. Find the first derivative of c(n) wrt n. -54*n**2 Let t(q) = q**3 - 14*q**2 + 2*q - 18. Let s be t(14). Find the third derivative of -s*x**2 + 3*x**5 + 21*x**2 + 5*x**5 wrt x. 480*x**2 Find the third derivative of -h**4 - 1840*h**5 + 958*h**5 - 311*h**2 + 1032*h**5 wrt h. 9000*h**2 - 24*h Let l(i) be the first derivative of -80*i**6/3 + i**2 - 36*i - 12. What is the second derivative of l(n) wrt n? -3200*n**3 What is the second derivative of 2*a + a**2 - 64*a**5 - 72*a + a**2 - 38*a wrt a? -1280*a**3 + 4 Find the second derivative of -128*l**2 + 4*l**3 + 124*l**2 - 3*l**3 + 12*l**3 - 8 - 2 - 5*l wrt l. 78*l - 8 Let a be -1 + 0 + 19 + 91 + -97. Let y(t) be the first derivative of 10/3*t**3 + 12 + 0*t**2 - a*t. What is the first derivative of y(n) wrt n? 20*n Let p(o) be the third derivative of -47*o**7/105 - o**6/120 - 4*o**5/15 + 3*o**2 + 3*o. What is the third derivative of p(f) wrt f? -2256*f - 6 Let f = -366 + 733/2. Let j(m) be the third derivative of f*m**3 + 0 - 2*m**2 - 1/12*m**5 + 0*m + 0*m**4. Find the first derivative of j(n) wrt n. -10*n Let l(n) be the third derivative of -n**10/151200 - n**6/144 + 7*n**5/30 - 13*n**2. Let o(g) be the third derivative of l(g). Differentiate o(i) wrt i. -4*i**3 Let s be ((-2)/(-2 + 3))/((-2)/3). What is the third derivative of 41*t**2 + 6*t**3 - 47*t**2 + 5*t**s wrt t? 66 Let m(k) be the second derivative of -3/14*k**7 + 0*k**2 + 0*k**4 + 2/3*k**3 + 0*k**5 + 0 + 9*k + 0*k**6. Find the second derivative of m(h) wrt h. -180*h**3 Find the first derivative of -146*f + 75 - 266*f + 136*f wrt f. -276 What is the third derivative of 125*l**5 - 555*l**2 + 123*l**5 - 372*l**5 + 126*l**5 + 240*l**4 wrt l? 120*l**2 + 5760*l Let a(k) be the second derivative of -3*k**8/280 + k**4/12 - 19*k**3/6 + 24*k. Let y(l) be the second derivative of a(l). Differentiate y(m) wrt m. -72*m**3 Let d(c) be the third derivative of 0*c**4 + 0*c**6 + 0*c**3 + 1/6*c**7 + 0 - 59/60*c**5 - 5*c**2 + c. What is the third derivative of d(i) wrt i? 840*i Let s(r) be the second derivative of 17*r**9/504 + r**5/5 + 7*r**2 + 6*r. Let x(a) be the first derivative of s(a). What is the third derivative of x(o) wrt o? 2040*o**3 Let s be 15/25*5 + (0 - 1). Find the third derivative of 22*x**3 + 7*x**2 + 13*x**s + 0*x**3 wrt x. 132 Let y(m) = -6*m**3. Let h(q) = 13*q**3 + 1. Suppose 2*i - 4 = -2. Let b be -10*i*(-2)/4. Let g(o) = b*y(o) + 3*h(o). Differentiate g(s) wrt s. 27*s**2 Find the third derivative of -6*j**4 - 75*j**2 + 13*j**5 + 11*j**3 - 21*j**3 - 74*j**2 + 10*j**3 wrt j. 780*j**2 - 144*j What is the derivative of -15 + 64*b**3 - 1 - 1 wrt b? 192*b**2 Let s(z) = 12*z**3 - 4*z**2 - 8*z + 63. Let i(h) = 48*h**3 - 17*h**2 - 36*h + 251. Let b(k) = -2*i(k) + 9*s(k). What is the first derivative of b(c) wrt c? 36*c**2 - 4*c Let l(v) be the second derivative of 0*v**3 + 1/2*v**4 + 17*v + 0 + 0*v**6 + 0*v**2 + 0*v**5 + 10/21*v**7. What is the third derivative of l(h) wrt h? 1200*h**2 Let j be 32/72*-6*(-12)/8. Let h(v) be the first derivative of 0*v + 0*v**2 - 8/5*v**5 - v**3 + 0*v**j + 5. What is the third derivative of h(t) wrt t? -192*t Let o(k) = -k**3 + 4*k**2 - 1. Let m be o(4). Let n be m/(-4) - 99/(-36). Find the second derivative of -v - n*v**3 - v**3 - 4*v wrt v. -24*v Let y(v) = -v**3 + v**2 + 3. Let c be y(0). Suppose 2*b + 2 = 3*b. Find the second derivative of -2*m**c + 3*m**4 + b*m**3 - 4*m - 2*m wrt m. 36*m**2 Let u(n) be the first derivative of -7*n**4/4 - 2*n**3/3 + 763*n + 245. What is the first derivative of u(j) wrt j? -21*j**2 - 4*j Suppose 0 = 4*i - 53 - 83. Suppose 0 = -2*u + 2*p - 4*p + i, 2*u - p - 22 = 0. Find the third derivative of -7*k**6 + u*k**3 - 13*k**2 - 13*k**3 - 7*k**6 wrt k. -1680*k**3 What is the first derivative of -10*l - 75*l + 106 + 12*l wrt l? -73 Suppose 5*h + 3*q - 13 = 7, 0 = 2*h + 5*q - 8. What is the second derivative of 4*m**3 - 8*m - 12*m**4 - 4*m**3 + 2*m**h wrt m? -120*m**2 Let i(o) be the first derivative of 0*o + 0*o**2 - o**7 + 0*o**5 + 0*o**6 + 13 + 0*o**4 - 4/3*o**3. Find the third derivative of i(p) wrt p. -840*p**3 Let j(y) be the first derivative of 23*y**4/4 + 10*y**3/3 - 3*y - 68. Find the third derivative of j(d) wrt d. 138 Suppose 0 = 3*w - 32 - 79. Let n(a) = a**2 + 5*a + 3. Let u be n(-5). Differentiate 5*g**u - 5*g**3 - w*g**4 - 4 + 36*g**4 with respect to g. -4*g**3 Let v(p) = -4*p - 6. Let l be v(-4). Let f be l/6 - (-3)/9. Differentiate -2*g**2 - 5 - 6*g**2 + f*g**2 wrt g. -12*g Let v(z) = 10*z**3 + 2*z**2 - 138. Let k(f) = 9*f**3 + 2*f**2 - 138. Let y(x) = 4*k(x) - 3*v(x). Differentiate y(g) with respect to g. 18*g**2 + 4*g Let v(q) be the second derivative of 17*q**7/6 - 71*q**4/12 + 66*q. Find the third derivative of v(y) wrt y. 7140*y**2 Let f(w) be the third derivative of 0 - 16*w**2 + 0*w - 1/168*w**8 + 0*w**4 + 0*w**3 - 1/60*w**5 + 0*w**7 + 0*w**6. Find the third derivative of f(r) wrt r. -120*r**2 Let c be -5 + 44 - 4*-1. What is the third derivative of c*x**3 + 21*x**4 - 11*x**2 - 43*x**3 wrt x? 504*x Suppose 4*y - 12 = -4. Differentiate 0 + y*z + z - 1 + 2*z wrt z. 5 Let a(b) be the third derivative of b**6/120 - b**5/15 - b**4/4 + 5*b**3/6 + 161*b**2. Find the second derivative of a(t) wrt t. 6*t - 8 Let r be (-3)/(-5) - 60/(-25). Suppose -2*o - 2 = 4*p, r*o = -0*p - 4*p - 7. Find the first derivative of -p*d + 8 - d + 5*d wrt d. 2 Let i = 12 + -11. Let k(f) be the first derivative of 1 + i + 2 + f**2 + f**5 + 1. What is the second derivative of k(c) wrt c? 60*c**2 Let k(n) be the second derivative of 5/6*n**4 + 0*n**5 - 1/3*n**6 + 0 + 0*n**2 + 0*n**3 - 11*n. What is the third derivative of k(s) wrt s? -240*s Suppose -4*n - 13 = -33. Find the second derivative of 13*o**2 + 27*o**2 - n*o**2 - 5*o - 11*o wrt o. 70 Let l(d) = -797*d**3 + 128*d**2 + 10. Let p(n) = 798*n**3 - 129*n**2 - 8. Let b(w) = -4*l(w) - 5*p(w). What is the third derivative of b(a) wrt a? -4812 Suppose -4*v - 5 + 13 = 0. Suppose 40 = -5*a + 65. Find the second derivative of -3*n - a*n + n + n**5 + v*n wrt n. 20*n**3 Let a(x) be the first derivative of -3*x**4 + 0*x + 7 - 5/2*x**2 + 0*x**3. What is the second derivative of a(h) wrt h? -72*h Let r(y) = 70*y**4 + 22*y**3 - 2*y + 52. Let h(f) = 35*f**4 + 12*f**3 - f + 26. Let g(p) = -11*h(p) + 6*r(p). Find the second derivative of g(u) wrt u. 420*u**2 Let z(b) be the third derivative of 12*b**5/5 + 47*b**3/2 - 2*b**2 + 17. Differentiate z(x) with respect to x. 288*x Let p = 22 - 19. Suppose 2*q = -p*q + 10. Find the first derivative of 0*h**2 + 2*h**2 + 6*h**q + 4 wrt h. 16*h Let x(g) be the first derivative of g**4/2 - 17*g**2/2 - 6*g - 11. Let q(i) be the first derivative of x(i). What is the derivative of q(o) wrt o? 12*o Let d(p) be the first derivative of p**9/504 - 7*p**5/30 - 5*p**3/3 + 30. Let i(h) be the third derivative of d(h). Find the second derivative of i(v) wrt v. 120*v**3 Let b(v) be the third derivative of 1/
{ "pile_set_name": "DM Mathematics" }
8 PM? 3:16 PM How many minutes are there between 6:48 PM and 1:04 AM? 376 What is 692 minutes after 9:28 PM? 9:00 AM How many minutes are there between 6:22 PM and 12:35 AM? 373 What is 430 minutes before 8:45 PM? 1:35 PM What is 54 minutes after 5:47 AM? 6:41 AM How many minutes are there between 5:02 PM and 12:03 AM? 421 How many minutes are there between 5:38 AM and 12:48 PM? 430 How many minutes are there between 11:17 PM and 5:01 AM? 344 What is 303 minutes before 10:52 PM? 5:49 PM How many minutes are there between 12:19 PM and 7:52 PM? 453 How many minutes are there between 12:18 AM and 1:21 AM? 63 How many minutes are there between 5:23 PM and 5:08 AM? 705 What is 573 minutes after 7:56 PM? 5:29 AM How many minutes are there between 3:45 AM and 3:40 PM? 715 How many minutes are there between 11:39 PM and 9:55 AM? 616 How many minutes are there between 11:44 PM and 9:01 AM? 557 How many minutes are there between 11:20 PM and 7:45 AM? 505 How many minutes are there between 5:19 PM and 9:49 PM? 270 What is 337 minutes after 9:54 PM? 3:31 AM How many minutes are there between 6:34 AM and 1:28 PM? 414 What is 639 minutes before 10:33 PM? 11:54 AM How many minutes are there between 5:17 PM and 5:58 PM? 41 What is 303 minutes after 7:00 AM? 12:03 PM What is 428 minutes after 2:10 AM? 9:18 AM How many minutes are there between 5:47 PM and 8:08 PM? 141 How many minutes are there between 11:57 PM and 11:09 AM? 672 How many minutes are there between 2:52 AM and 2:10 PM? 678 How many minutes are there between 1:25 PM and 10:10 PM? 525 What is 482 minutes after 4:47 AM? 12:49 PM How many minutes are there between 11:03 PM and 6:46 AM? 463 How many minutes are there between 12:23 PM and 10:51 PM? 628 What is 144 minutes before 6:25 AM? 4:01 AM How many minutes are there between 9:31 PM and 10:59 PM? 88 What is 353 minutes before 10:35 AM? 4:42 AM How many minutes are there between 5:25 AM and 9:29 AM? 244 What is 121 minutes after 5:20 PM? 7:21 PM What is 355 minutes after 7:10 PM? 1:05 AM How many minutes are there between 7:49 AM and 5:01 PM? 552 How many minutes are there between 11:08 PM and 1:32 AM? 144 How many minutes are there between 5:20 PM and 11:26 PM? 366 How many minutes are there between 11:37 AM and 7:27 PM? 470 What is 556 minutes before 4:38 PM? 7:22 AM How many minutes are there between 9:57 AM and 3:24 PM? 327 What is 473 minutes after 2:59 AM? 10:52 AM How many minutes are there between 11:47 AM and 5:00 PM? 313 What is 142 minutes after 12:50 AM? 3:12 AM How many minutes are there between 1:02 AM and 12:03 PM? 661 How many minutes are there between 12:14 PM and 11:47 PM? 693 What is 38 minutes after 1:10 PM? 1:48 PM What is 568 minutes after 1:32 PM? 11:00 PM How many minutes are there between 12:45 PM and 9:31 PM? 526 What is 360 minutes after 2:48 PM? 8:48 PM How many minutes are there between 2:03 PM and 11:47 PM? 584 What is 644 minutes after 3:11 PM? 1:55 AM How many minutes are there between 1:57 PM and 11:33 PM? 576 How many minutes are there between 4:32 PM and 2:16 AM? 584 What is 158 minutes after 10:40 PM? 1:18 AM What is 708 minutes after 1:47 PM? 1:35 AM What is 703 minutes before 5:40 PM? 5:57 AM How many minutes are there between 4:39 PM and 5:18 PM? 39 How many minutes are there between 1:03 PM and 9:28 PM? 505 What is 342 minutes before 11:17 PM? 5:35 PM What is 44 minutes before 12:28 PM? 11:44 AM How many minutes are there between 11:19 AM and 10:03 PM? 644 How many minutes are there between 11:53 PM and 1:25 AM? 92 How many minutes are there between 6:36 AM and 3:39 PM? 543 How many minutes are there between 2:24 AM and 7:47 AM? 323 How many minutes are there between 4:20 AM and 2:08 PM? 588 How many minutes are there between 1:08 AM and 7:03 AM? 355 What is 610 minutes before 3:40 PM? 5:30 AM How many minutes are there between 12:47 PM and 11:30 PM? 643 What is 48 minutes after 10:52 PM? 11:40 PM What is 236 minutes after 8:37 AM? 12:33 PM How many minutes are there between 5:18 AM and 5:28 AM? 10 How many minutes are there between 8:07 PM and 12:11 AM? 244 What is 385 minutes before 9:04 AM? 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507 What is 27 minutes before 5:39 PM? 5:12 PM What is 76 minutes after 12:02 PM? 1:18 PM How many minutes are there between 3:45 AM and 4:33 AM? 48 What is 714 minutes before 11:26 AM? 11:32 PM How many minutes are there between 10:39 AM and 1:34 PM? 175 How many minutes are there between 11:09 PM and 12:01 AM? 52 How many minutes are there between 12:05 PM and 7:33 PM? 448 What is 496 minutes before 4:20 AM? 8:04 PM What is 315 minutes after 5:57 AM? 11:12 AM How many minutes are there between 11:54 PM and 1:03 AM? 69 What is 92 minutes after 11:34 AM? 1:06 PM What is 675 minutes after 3:35 AM? 2:50 PM What is 144 minutes before 5:51 AM? 3:27 AM What is 249 minutes after 10:54 PM? 3:03 AM How many minutes are there between 8:42 PM and 6:41 AM? 599 What is 646 minutes before 8:32 AM? 9:46 PM How many minutes are there between 1:56 PM and 5:19 PM? 203 How many minutes are there between 7:10 AM and 5:02 PM? 592 What is 36 minutes before 8:05 AM? 7:29 AM What is 277 minutes after 4:49 PM? 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{ "pile_set_name": "DM Mathematics" }
7. Let m be x(4). Let q = m - 34. Give v(q). -9 Let n(l) be the first derivative of -1/2*l**2 + 2*l - 6. Determine n(-3). 5 Let b(h) = -h**2 - 6*h + 7. Let l(s) = s**2 + s. Let c(y) = -b(y) - 2*l(y). Let u(r) = r**2. Let d be u(0). Let p = d + 5. Calculate c(p). -12 Let b(s) be the third derivative of -s**6/30 + s**5/30 - s**3/6 - 281*s**2. Calculate b(1). -3 Suppose 0 = 2*f + 1 + 3. Let d(r) be the first derivative of -r**3/3 - 3*r**2 - 3*r - 52. Determine d(f). 5 Suppose -81 = -n - 3*g, -3*g - 350 = -5*n - 7*g. Suppose -24 - n = 9*o. Let l(p) = -p**2 - 11*p - 15. Give l(o). -5 Let j = -9 + 16. Let s(f) = 6 - 10*f**3 - j*f**2 + 8*f**2 - 7. Give s(-1). 10 Let k(d) = d + 6. Let b(z) = z**3 - 6*z**2 + 8*z - 9. Let h be b(5). Give k(h). 12 Suppose -187*p + 193*p - 18 = 0. Let f(q) = 7*q + 4. Calculate f(p). 25 Suppose 3*x + 4 + 5 = 0. Let t = 5 + x. Suppose 0 = -k + 3*k + t. Let z(g) = 11*g**2 + 2*g + 1. Give z(k). 10 Let l(n) = -n - 2. Let u(r) = 3*r - 3. Let k(m) = -l(m) - u(m). Let p(z) = -z**2 + 9*z - 10. Let q be p(7). Calculate k(q). -3 Let n(x) = 3*x**2 - 2*x + 6. Let q = -270 + 274. Determine n(q). 46 Let n(x) be the second derivative of 3*x**3/2 - x**2 - 8*x - 4. Calculate n(1). 7 Let n(u) = -u**3 - 5*u**2 + 3*u - 8. Suppose 6*a - 12 = 3*a. Let t(z) = a*z**2 + 22 + 0*z**2 - 5*z**2 - 3*z. Let k be t(-7). Give n(k). 10 Let w be -2 + 0 + 160/(-32). Let o(c) = -6*c - 6. Let g(s) = 17*s + 17. Let h(i) = -4*g(i) - 11*o(i). Calculate h(w). 12 Let s(k) = 3*k + 0 - 19*k**3 + 6 + 7*k**3 + 11*k**3 + 3*k**2. Determine s(4). 2 Let n(c) = -6*c - 24. Let v be n(-4). Let s(w) = 8 - w + 8*w - 6*w + v*w. Determine s(-8). 0 Let c(n) = -18*n**2 - 3*n - 3*n**2 - 6 + 23*n**2 + 7. Let l be ((-1)/(-3))/(2/(-6)). Let v be 0 - l*(-2 - -4). Determine c(v). 3 Suppose -17*n - 6 = -19*n. Let b be 13/11 - (-4)/(-22). Let r(j) = 24*j + j**n + b - 5*j**2 - 21*j + 1. Give r(4). -2 Let o(k) = 2*k + 33. Let j = 492 - 508. Calculate o(j). 1 Let k(b) = b + 6. Let q(a) = 19 + 12*a + 13*a - 29*a + 7*a. Let c be q(-8). Calculate k(c). 1 Suppose -3*x + 77 = 80. Let l(h) = -2*h**3 + h**2 - h - 1. Give l(x). 3 Let m(u) = 2 - 5*u - 2*u - u + 2*u. Let a be (-1)/4 + 1 - 85/(-68). Give m(a). -10 Suppose -4*m + 2*j = -42, 4*m + 3*j + 5 = 32. Let r(f) = -f**3 + 10*f**2 - 8*f - 13. Give r(m). -4 Let k be -1*(4*3)/(-2). Let i(g) = 6*g**2 - 6*g - 7. Let a(v) be the third derivative of -v**5/60 + v**3/6 - 5*v**2. Let l(s) = -5*a(s) - i(s). Give l(k). 2 Let q(l) = -l**3 + 2*l**2 + 2*l - 4. Let y = 59 - 52. Let o = y - 4. What is q(o)? -7 Let k = -17 + 16. Let r = -6 + 4. Let c = k + r. Let x(s) = s - 4. Determine x(c). -7 Let p(r) = -2*r**2 + 3*r + 2. Let c(t) = t**2 - 14*t + 10. Let y be c(13). Let h(f) = -f**2 + 4*f + 3. Let d(b) = y*h(b) + 4*p(b). Calculate d(-2). -21 Let y(x) = 3 - 67*x - 1 - 71*x + 137*x. Let q(p) = 4*p + 4. Let r be q(-7). Let i be (-4)/(r/(-9) - 2). Determine y(i). 8 Suppose 4*i + 4*f = -0*f - 12, -2*f - 7 = i. Let y(q) be the third derivative of -q**6/24 + q**4/12 - q**3/6 - q**2. Calculate y(i). -4 Let z(v) = -3*v + 4. Let l(x) = 13*x - 19. Let h(k) = -4*l(k) - 18*z(k). Give h(-8). -12 Suppose -7*n = 4*d - 8*n + 4, -16 = -4*n. Let r(x) = 3*x - 5. Let h(u) = 5*u - 7. Let g(v) = -5*h(v) + 8*r(v). What is g(d)? -5 Let f(k) be the third derivative of 2/3*k**3 + 27*k**2 + 0*k + 0 + 1/60*k**5 + 0*k**4. Determine f(0). 4 Let g(c) = -6*c. Let n(y) = -y**3 + 7*y**2 - 2*y - 8. Let s be n(6). Let d be (s/(-12))/(4/(-6)). Suppose 5*i = -4*t - 6, 0 = 3*t + d*i + 1. Give g(t). -6 Let p(z) = 5*z**3 - z**2. Let q be p(1). Suppose q*k = k. Let v(n) be the second derivative of n**4/12 + 5*n**2 + n. Give v(k). 10 Let w be (-2)/(((-50)/35)/5). Let r be w/(-5*(-2)/10). Suppose -5*h - 3 = r. Let f(a) = -a**3 - 2*a**2 - 3*a - 3. Give f(h). 3 Let c(q) = q**2 + 0*q + q + 3*q + 3 + q. Let r(z) = z + 10. Let i be r(-3). Let j = i + -11. What is c(j)? -1 Let o = 17 - 16. Suppose o + 5 = -z. Let w(i) = -i**2 - 7*i - 8. Give w(z). -2 Let x = 10 - 8. Suppose x*v + 0*a + 20 = -2*a, -24 = 2*v + 4*a. Let d be 7 - (v/(-4))/2. Let g(o) = o**3 - 5*o**2 - 7*o - 2. Give g(d). -8 Let i be -4 + (11 - 13) - (-2 + 1). Let j(x) = -x**3 - 3*x**2 + 4*x - 7. Determine j(i). 23 Let t(x) be the first derivative of -3*x**2/2 + 3*x - 108. Give t(-7). 24 Let j(g) = -2*g - 4. Suppose -2*k + 4*a - 5*a - 3 = 0, 15 = -2*k - 5*a. Calculate j(k). -4 Let d(n) = n**3 - 6*n**2 + 2*n + 5. Suppose 5*o - 25 = -0*z + z, -4*o + 6 = 2*z. Determine d(o). -19 Let y(t) = -t**2 - 6*t. Suppose -8 = 4*h - 2*h. Let c be (-4)/(-3)*(h + 1). Calculate y(c). 8 Suppose 0 = 11*i - 95 + 161. Let l(v) = -2*v**2 - 6*v + 5. What is l(i)? -31 Let k be (-18)/(-30) - 15/25. Let i(h) be the third derivative of 2/3*h**3 + 1/15*h**5 + k*h + 0 + 1/8*h**4 + 1/120*h**6 - h**2. What is i(-4)? -8 Let v(m) = -50*m + 332. Let c be v(7). Let f(u) = -u - 33. What is f(c)? -15 Let k(l) = -2 + 3 + 0 + 0. Let b(o) = o. Let p(h) = b(h) - k(h). Determine p(3). 2 Let g(f) = -5*f - 2. Suppose 12 = -2*r + 10. Calculate g(r). 3 Let h be 11/5 - 2/10. Let j be ((-3)/(-5))/((-1)/(-5)). Let i(s) = -s + 2*s + 4*s**h - 5*s**2 + s**3 + j. Determine i(0). 3 Let o(g) be the third derivative of 29*g**2 + 0 - 1/60*g**5 - 2/3*g**3 + 0*g - 5/24*g**4. Give o(-3). 2 Let l(g) = -g - 8. Let m(b) be the second derivative of -b**3/2 - 23*b**2/2 - 17*b. Let a(p) = 8*l(p) - 3*m(p). Determine a(-5). 0 Suppose 2*a + 4*p + 4 = 0, 7*a - 3*a - 2*p = 42. Let i(r) = 2*r**2 - r**2 - 2*r + 6 + a*r. Give i(-4). -2 Let a(c) be the first derivative of 1/2*c**2 + 0*c**3 + 0*c - 1/24*c**4 - 4. Let h(f) be the second derivative of a(f). Calculate h(5). -5 Let z(a) = 3*a - a**2 - 1 + 3*a - 4*a**3 - 4*a. Let x(n) = n**2 + 15*n + 3. Let q be x(-15). Suppose -q = -c - 2*c. Give z(c). -4 Let q(n) be the third derivative of n**5/60 - 7*n**4/24 - 7*n**3/6 - 39*n**2 - 2. Give q(7). -7 Let d be 22/(-33)*(-3)/2. Let z(t) = 5*t**2 + t. Determine z(d). 6 Let d(w) = 2*w - 7. Suppose -4 = 2*c - y, -8 = -5*c - 0*y - 2*y. Suppose 4*h - 3*a - 8 = 0, 4*h + 0*a = -2*a - 12. Let b be (c + -2 - h) + 6. Calculate d(b). 3 Suppose -5*l + 34 = -2*x, x + 39 = 5*l + 2. Let y(h) be the second derivative of h**3/6 - h**2/2 + h. Give y(l). 7 Let v(d) be the second derivative of -d**5/20 - d**4/4 + d**2/2 - d + 3. Calculate v(-2). -3 Let o(d) = -5*d + 4*d + 3*d. Let v(s) = 2*s**2 + 2*s**2 - s**2 - 3 + 5*s - 4*s**2. Let f be v(3). What is o(f)? 6 Let m(q) be the third derivative of 0*q + 0 - 1/120*q**6 + 1/15*q**5 + 1/24*q**4 + 3*q**2 - 1/2*q**3. Give m(4). 1 Let u = 14 - 8. Suppose -2*s = u, -3*r + 0*s - s + 15 = 0. Let w(d) = d**3 - 6*d**2 + d - 6. Calculate w(r). 0 Let k(j) = -3*j + j - 7 + 6*j - 11*j. Calculate k(-3). 14 Let f be (-60)/(-2) - (-8 - -8). Suppose -6*i + i + f = 0. Let t be 19/i - 1/6. Let x(a) = 2*a**2 - 2*a - 2. Calculate x(t). 10 Suppose 2*g - 114 + 30 = 0. Let z = g + -49. Let c(f) = -f**2 - 7*f - 3. Calculate c(z). -3 Let s(f) = -f**2 + 5*f - 5. Let k(l) = -l**2 + 5*l - 3. Let c(v) = 6*k(v) - 5*s(v). Let d be c(-1). Let a(h) = -3*h**3 - h**2 + 2*h - 1. Calculate a(d). -3 Let w(p) = p + 3. Let x = 67 - 55. Suppose 3*d + 5 + 12 = 2*r, -2*d + 2*r = x. What is w(d)? -2 Let u(c) be the second derivative of c**3/3 + c**2/2 - 1547*c. Suppose 4*m + 7 = -1. Determine u(m). -3 Let b = 13 + -10. Let j(l) = l - 6*l**2 + 0*l**2 - l**b + l + 16 - 15. Suppose 3 = 5*u + 33. Calculate j(u). -11 Let n(p) = -p**3 - 7*p**2 + 7*p - 10. Let z be 39/26*44/(-3). Let g = z + 14. Calculate n(g). -2 Let x(b) = -4*b**2 - 2*b - 3. Let m(f) = 3*f**2 + f + 2. Let d(i) = 3*m(i) + 2*x(i). Suppose -4*k - 743 = -739. What is d(k)? 2 Let q(b) be the first derivative of b**3/3 - 4*b + 61. Let t be (-28)/(-6) + 8/(-12). Give q(t). 12 Let m(o) = -6*o - 31. Let b be m(-6). Let u(w) = 0*w**2 + w - 2 - w**3 + 5*w**2 + 3*w**3 - 3*w**3. What is u(b)? 3 Let p(x) = -x**2 - 2 + 8 - 17 + 3 + 14*x. What is p(13)? 5 Suppose -5*l = -4 - 1. Let k be 18/8*(8/(-3))/(-2). Let a(o) = 4 - 18*o - k + 11*o. Determine a(l). -6 Suppose -20 = -5*j - 0*j. Let l(f) = -4*f + 1. Let a(z) = 5*z - 1. Let s(t) = 2*a(t) + 3*l(t). Calculate s(j). -7 Suppose -f + 4 = -13*u + 17*u, f + 12 = 4*u. Let r(q) = q + 11. What is r(f)? 7 Let z(f) = -f**2 + 12*f + 4. Let m(o) = -12*o**3 + 27
{ "pile_set_name": "DM Mathematics" }
+ 4440*sqrt(11) Simplify (1*sqrt(114)*3 - sqrt(114) - (sqrt(114) - -4*(sqrt(114) + 4*sqrt(114))))/((-5*sqrt(486)*-3 + sqrt(486))*4). -19*sqrt(19)/576 Simplify (-5 + (-6*(sqrt(208) + 0) - ((sqrt(208) - -1*sqrt(208)) + 0 + sqrt(208)))**2 - ((-4 + sqrt(208) + 2*sqrt(208)*-4)*-5)**2) + -3. -238360 - 5600*sqrt(13) Simplify (sqrt(208) + -3 + sqrt(78)/sqrt(6) + 0 + (sqrt(65)*1*-1)/((sqrt(135)/sqrt(3) + sqrt(45) + sqrt(45))/sqrt(9)))**2*4. -112*sqrt(13) + 10516/9 Simplify 2*(((-3 + sqrt(3)*2 - 5*(sqrt(3) + sqrt(3)*1))*-4)**2 + -6*sqrt(12)/sqrt(4)*-5*1). 1596*sqrt(3) + 6432 Simplify ((2 + (1*sqrt(832)*-1 - (-1 + -1 + sqrt(832))))*-3 + 1 + -1)**2. -1152*sqrt(13) + 30096 Simplify (0 + (sqrt(448) + 1 + sqrt(448))**2*5*6)*6*-3 + 5. -968215 - 17280*sqrt(7) Simplify -1 + (-4*(sqrt(35) + (-3*sqrt(420))/sqrt(12)))/(sqrt(252)*3). -1 + 4*sqrt(5)/9 Simplify (-6*sqrt(70)*-2 + (sqrt(70) - ((-5*(sqrt(70)*1 + sqrt(70)) - sqrt(70)) + sqrt(70) - sqrt(70))))/(3*sqrt(640)*2*-2). -sqrt(7)/4 Simplify -1*(((((sqrt(3) - (-3 + sqrt(3))) + 4)*-2)**2 - (((3*1*sqrt(3))**2 - sqrt(3)) + (sqrt(147) + -1*sqrt(147))**2)) + 5). -174 - sqrt(3) Simplify (((-1 + (1 + sqrt(720) - sqrt(720)))*-4 + 3)**2 - (-6*3*(-1*sqrt(720) + sqrt(720))*1)**2) + 3. 12 Simplify 4 + (3*sqrt(1584)*2*6)**2 - (sqrt(121) + -6*-1*sqrt(121))/(sqrt(176)*1). -7*sqrt(11)/4 + 2052868 Simplify 4*((-1 + -5*(-1*(2 + sqrt(320)) + 6*(-1 + sqrt(320)))*-6)*6)**2. -83289600*sqrt(5) + 1045163664 Simplify (5*(sqrt(80) + -4) - (sqrt(180) + 0 + 4)) + (((0 + sqrt(80) + sqrt(5) - 6*(sqrt(5) - (0 + sqrt(5) + sqrt(5)) - sqrt(5))) + 3)*3)**2. 932*sqrt(5) + 13062 Simplify -6*2*(sqrt(605) + -1 + 5 + (4 + sqrt(605)*-3)**2)*-4. -12144*sqrt(5) + 262320 Simplify (4 + (-4 + 0 + sqrt(162))**2)*-4 - (-2*(sqrt(2) - (sqrt(2) - 5*sqrt(32)) - (sqrt(4)/sqrt(2) + 3)) + -1). -733 + 326*sqrt(2) Simplify 0 + -2 + (6*sqrt(588)*1 - sqrt(588))/(6*sqrt(486)*-2) + -5. -7 - 35*sqrt(2)/108 Simplify ((-1*sqrt(1792) + sqrt(1792) + sqrt(1792))/(sqrt(44)/sqrt(99)))**2 - (2 + (sqrt(35)/sqrt(80) + 2)**2). -sqrt(7) + 64409/16 Simplify (((6*1*sqrt(150) - sqrt(150)) + sqrt(150) - sqrt(150) - sqrt(150) - sqrt(150))/(-4*sqrt(24)))/(-6*sqrt(40)/(sqrt(16)/sqrt(50))). sqrt(5)/80 Simplify ((sqrt(495) + sqrt(495)*1*-4)/(sqrt(1331)*-2 + sqrt(1331) - sqrt(11)))/((sqrt(441) - (sqrt(441) - -2*sqrt(441)*1))*-3). sqrt(5)/168 Simplify (-5*(-4 + sqrt(162)*1 - (sqrt(120)/sqrt(150))/sqrt(10))*-5)**2*-1. -106800 + 44000*sqrt(2) Simplify (2 + -4 + -5*(1*sqrt(176) + 0 + sqrt(176) + ((sqrt(176) + -2)*-3 - sqrt(176))))**2. -2560*sqrt(11) + 18624 Simplify ((2*sqrt(336)*-2)/sqrt(96))/(2*sqrt(200) + sqrt(200) + sqrt(8) + sqrt(80)/(sqrt(10) - sqrt(90)))*-3. 6*sqrt(7)/31 Simplify 3*((sqrt(2450))**2 + (sqrt(200))**2*-2 + (5*((sqrt(128) - -2*sqrt(128)) + sqrt(128))*-2)**2). 620550 Simplify (-2*1*sqrt(525) + ((sqrt(525) - sqrt(525)*2) + sqrt(525) + sqrt(525))*5)/((sqrt(75) - (3*(sqrt(75) - sqrt(75)*1) + sqrt(75) - sqrt(75)))*1). 3*sqrt(7) Simplify (sqrt(432) + sqrt(432)*-4 + sqrt(432) + sqrt(3) + 5 + (sqrt(300) + -1)*-5 + 5)**2*-3. -48636 + 6570*sqrt(3) Simplify -1 + (sqrt(36)/sqrt(2)*-5 - sqrt(324)/sqrt(2))/(sqrt(144)*4*5). -1 - sqrt(2)/10 Simplify (-1*(6*(3*sqrt(1088) + 5 + 4*(sqrt(1088) - 1*sqrt(1088))) + -3 + 1))**2. 8064*sqrt(17) + 353296 Simplify (-3*(sqrt(209) - (sqrt(209) - -1*sqrt(209))*5)*-6)/((sqrt(2200) + (2*sqrt(2200) - sqrt(2200)))/(sqrt(200) + sqrt(200)*-1 + sqrt(200))). -81*sqrt(19) Simplify -3 + ((1*sqrt(513) + sqrt(57))/sqrt(3)*3 - (-2 + sqrt(2299) + -1 - 6*(0 + sqrt(2299))))**2*5. 2010*sqrt(19) + 426497 Simplify (-5*1*sqrt(51) - (3*sqrt(2499) - sqrt(2499) - sqrt(51)))/((sqrt(60)/sqrt(36))/(-1*sqrt(180))) + -5. -5 + 324*sqrt(17) Simplify 3 + (4 + 6*-4*-3*sqrt(6)/sqrt(27) + 2 + -4)**2. 96*sqrt(2) + 1159 Simplify 4 + ((2*sqrt(180) + sqrt(80)*-2 + sqrt(20))/(2*sqrt(1000)*-1) + -3)**2. 9*sqrt(2)/10 + 2609/200 Simplify -2*(((sqrt(1700) - 6*sqrt(1700)*2) + -1*sqrt(1700) + -3)**2 + -4 + -5*(3 + (0 + sqrt(1700) + -1 - sqrt(1700) - sqrt(1700)))). -489590 - 1540*sqrt(17) Simplify 2*(sqrt(304)/(sqrt(8) - (sqrt(8) + sqrt(40)/sqrt(5))) + sqrt(152)/sqrt(4)*-1 + sqrt(38))/(sqrt(20)/(sqrt(490)*3)). -42*sqrt(19) Simplify 1 + ((-4*-2*sqrt(170) - sqrt(170))/sqrt(5))/(2*1*sqrt(2) + (sqrt(64)/sqrt(4))/sqrt(8)) + 4. 5 + 7*sqrt(17)/3 Simplify 3*sqrt(60)/sqrt(5) - sqrt(60)/(sqrt(5)*3) - (sqrt(96)*5)/(sqrt(2) - -2*sqrt(18)). 52*sqrt(3)/21 Simplify ((3*sqrt(110)*-1)/(sqrt(490)*-2)*5 - (sqrt(33)/(sqrt(9)/sqrt(3)) + (sqrt(66)*-1)/sqrt(6) + sqrt(11) + 0)*6)**2. 52371/196 Simplify (-5*-4*sqrt(95)*1*1)/((sqrt(245) - sqrt(245)*3) + sqrt(245) + sqrt(1980)/sqrt(11)). -20*sqrt(19) Simplify ((-1 + 2*(sqrt(320) - -3*sqrt(320)*-1)*6*-3*-5)*-5)**2. 144000*sqrt(5) + 1036800025 Simplify (3*((-1 + sqrt(192) - sqrt(192)) + 0 - 3*sqrt(24)/(sqrt(8)*2)) + -1)**2. 36*sqrt(3) + 307/4 Simplify 1*(-6*(2 + (sqrt(2057) - sqrt(2057)*-3))**2 + 1 + -5)*4*5. -3950000 - 21120*sqrt(17) Simplify (-1 + sqrt(288) + -3 - (sqrt(288)*-2 + -4)) + ((-3 + sqrt(288) + sqrt(288))**2 + -1 - (sqrt(288)*2*3)**2). -9208 - 108*sqrt(2) Simplify -3 + ((3*(sqrt(304) + (sqrt(304) - 2*sqrt(304) - sqrt(304)))*-3)**2 - ((1 + (sqrt(19) - sqrt(19)*2) + sqrt(19))**2 + -2 + sqrt(304) + -3)). -4*sqrt(19) + 24625 Simplify (-2*sqrt(3000)*4*-6*-1)/(-1*((sqrt(250)*-1 + sqrt(250) - sqrt(250) - sqrt(250))*2 + sqrt(250)*1*3)). -96*sqrt(3) Simplify ((sqrt(117) + -4*((sqrt(117) - -2*sqrt(117)) + sqrt(117) - sqrt(117)))*-2)/((sqrt(9) - sqrt(90)/(sqrt(10) + 2*sqrt(10)))*4)*-4. -33*sqrt(13) Simplify (5*(1*(-5 + sqrt(891) + sqrt(891) + -1 + sqrt(891)) + (-1*sqrt(891) + sqrt(891) + sqrt(891) + 5 - (sqrt(891) - (sqrt(891) + 0))*-1)))**2. -1800*sqrt(11) + 356425 Simplify 4 + 5*((sqrt(40) - sqrt(200)/sqrt(5))*4*-6)/(sqrt(80)/(sqrt(1440)*-2 + sqrt(1440))). 4 Simplify ((sqrt(85) + (sqrt(85) - (6*sqrt(85)*2 - sqrt(85))) + 2*2*sqrt(85))/(-4*(sqrt(45) + 1*sqrt(180))/sqrt(9)))**2. 425/144 Simplify (5*sqrt(88)*-5 + sqrt(88) + (sqrt(88) + -2*sqrt(88)*3 - sqrt(88) - sqrt(88)) + sqrt(88))/(-6*(sqrt(288)*1 + sqrt(288))*-4). -5*sqrt(11)/48 Simplify -2 + 2 + sqrt(128) + 2 + 5 - ((2 + sqrt(128))**2 + 5 + -5)*3. -389 - 88*sqrt(2) Simplify (2*((1*sqrt(216))/sqrt(9) + (sqrt(1944)*-2 - sqrt(24))))/(1*(sqrt(8) + (sqrt(8) - (-1*sqrt(96))/sqrt(12)))*-2). 6*sqrt(3) Simplify ((sqrt(625) - sqrt(25))*1)/(-2*sqrt(5)*-2) - ((sqrt(5) - (sqrt(35)*1)/sqrt(7)) + ((sqrt(330)/sqrt(6))/sqrt(11))**2 + sqrt(5)). -5 Simplify sqrt(76)/sqrt(4)*-1 + (sqrt(19) + 2*sqrt(2299) - sqrt(19)) + 0 + (sqrt(95)/(-3*sqrt(5) - sqrt(5) - sqrt(5)) - (sqrt(1900) - (sqrt(1900) + -1)))**2. 44/25 + 107*sqrt(19)/5 Simplify 5*((-2 + ((sqrt(77)*-2)/sqrt(11) - (sqrt(448) + 0))*3)*2)**2*1. 2400*sqrt(7) + 126080 Simplify (((-3*(1 + sqrt(19) - sqrt(19)) - (sqrt(19) + 0 + sqrt(304))) + 5 - (-1*sqrt(304)*-3 + -5)) + 0)**2. -238*sqrt(19) + 5540 Simplify (2*(-1 + sqrt(468)))**2 - (sqrt(468) + 2)*6 - (-6*sqrt(208) + 2*sqrt(13) + -1)*-5. -194*sqrt(13) + 1859 Simplify 6*-4*(sqrt(108) + (sqrt(108)*3*5)**2 + 4)*2. -1166592 - 288*sqrt(3) Simplify -5 + ((sqrt(117) + -1)*2 + (3*(sqrt(117) - (sqrt(117) + -2 + sqrt(117)))**2 - sqrt(117)) - (((2 + sqrt(832))*2 - sqrt(832))**2 + 4)). -496 - 97*sqrt(13) Simplify (-3*sqrt(21)*-2)/(-1*sqrt(48) + sqrt(3)) - (-2 + sqrt(252)*-4)*2. 4 + 46*sqrt(7) Simplify ((-6*sqrt(144))/(sqrt(12) - sqrt(144)/sqrt(192))*-4 + (-3*(sqrt(135)/sqrt(5) + sqrt(27)))/(sqrt(144)*-5))**2. 1240347/100 Simplify (-3 + (sqrt(17)*4*-1 + sqrt(17) + (sqrt(17) + 1)*-4 - (5*-1*sqrt(153) + sqrt(153))/(sqrt(36)*-5 - sqrt(9))))**2. 1134*sqrt(17)/11 + 117466/121 Simplify (sqrt(605)*-2 + 3 + (sqrt(605) + sqrt(605)*-1)*-5 - (sqrt(180) + 2 + 5 + 1))**2 + 2. 280*sqrt(5) + 3947 Simplify 4*(2*sqrt(136)*6 + sqrt(136))/sqrt(8) - (0 + (-4*(sqrt(17) + -2))**2 + 1). -337 + 116*sqrt(17) Simplify (-2*(-4*(-3*sqrt(110) - sqrt(110)) + sqrt(110)))/((sqrt(40) + -2*sqrt(40))/sqrt(4) + 6*sqrt(10)*1). -34*sqrt(11)/5 Simplify 4 + -3*(-3*((sqrt(2057) + -1 + 0 + sqrt(2057) + sqrt(2057) - sqrt(2057) - 1*sqrt(2057)*-2)*4 + -4))**2. -14219708 + 76032*sqrt(17) Simplify ((1 + -3*2*sqrt(605)*1*3*-3)*-1)**2. 1188*sqrt(5) + 1764181 Simplify -1*sqrt(2736) + 1 + -1*sqrt(2736) + -2 + 2 + ((sqrt(2736) + sqrt(2736) + 1)*-4)**2. 744*sqrt(19) + 175121 Simplify ((4*(5 + (sqrt(1088) - 3
{ "pile_set_name": "DM Mathematics" }
0 - (3 - 0)). Let x = f - 14. Suppose 3*y - 25 = -x*y. Calculate the greatest common divisor of 5 and y. 5 Suppose 189 = 7*b - 161. Calculate the greatest common divisor of b and 125. 25 Let m be 3632/112 - 6/14. Let y = m + -14. Suppose -4*s + 89 = -127. What is the highest common divisor of y and s? 18 Suppose -2*k + 8*g = 13*g - 3702, 0 = 3*k + 5*g - 5558. Calculate the highest common factor of 64 and k. 64 Let n = -127 - -91. Let b = n - -114. Suppose 5*v + b + 1 = 2*l, 71 = 2*l + 3*v. What is the highest common factor of 74 and l? 37 Suppose -307 + 46 = 3*l. Let x be 1/4 + l/(-12)*3. Let n be (-4)/1*110/(-8). What is the greatest common factor of n and x? 11 Suppose 2*f = 6, -2*p + 5*f + 17 = -8. Let b = 102 - 102. Suppose b = 61*t - 58*t - 60. What is the highest common divisor of t and p? 20 Suppose 6 = -2*s, s + 1 = 2*k - 2*s. Let q be (3/k)/(2/(-384)). Let g be 3/(-3) + (-15 - -52). What is the highest common divisor of g and q? 36 Suppose 5*h + 2*u - 39 = 0, 3*u = 5*h - 33 + 4. Suppose 0 = -s - h + 44. What is the highest common factor of s and 111? 37 Suppose f = 4*b + 5*f - 20, -2*b = -5*f - 38. Let l be (-4)/6*27/(-6). Calculate the highest common divisor of l and b. 3 Let l(z) = -46*z - 25. Let y be l(-4). Let m = y - 123. Suppose 266 - 986 = -4*x. What is the greatest common divisor of m and x? 36 Let t = 146 - 122. Suppose 25*f - 27 = t*f. What is the highest common divisor of 3 and f? 3 Let v(x) = -6*x**2 + 2. Let f be v(2). Let g = f + 32. Suppose -3*z + 34 + 56 = 0. What is the highest common factor of g and z? 10 Let y(j) = 32*j**3 - 9*j + 7. Let l be y(2). Calculate the greatest common factor of 455 and l. 35 Let q be 6 + -1 + 39 + -4. Let c = 539 - 379. What is the highest common divisor of q and c? 40 Let o = 109 - 69. Suppose 4*t - 56 = o. Calculate the highest common factor of 12 and t. 12 Let m(k) = k + 9. Let a be m(-11). Let r be (94 + 2)*a/(-4). Calculate the highest common factor of 6 and r. 6 Let j(x) = x**3 + 10*x**2 + 8*x + 10. Let o be 9*(3 - 16/4). Let q be j(o). Let b be (-1 + q/2)*2. What is the greatest common factor of 153 and b? 17 Suppose 5 + 3 = -4*i + 3*c, -2*i - 4 = 2*c. Let f be (14/(-4))/(i/4). Let a(h) = h**2 - 8*h + 11. Let q be a(f). What is the highest common factor of 44 and q? 4 Suppose q - 4 = -3*i - 1, 0 = -q + 2*i + 28. Let c(r) = -12*r + 60. Let x be c(4). What is the highest common divisor of q and x? 6 Suppose -144 = -5*l + 4*b, 3*b = -l + 2*b + 27. Calculate the highest common divisor of 112 and l. 28 Let l(p) = -2*p**2 + 70*p + 6. Let w be l(35). What is the highest common factor of 214 and w? 2 Suppose 3*b + 18 = 3*r, b - 1 = -0*b. Let o be 14/4*(9 + -5). What is the highest common divisor of o and r? 7 Suppose 28 = 2*r - 5*a, 2*r = 5*r + a - 8. Let f = 68 - 64. What is the highest common divisor of r and f? 4 Suppose 0 = -3*b + 6. Let s(n) be the first derivative of -n**3/3 - 7*n**2/2 - 7*n - 9. Let h be s(-5). What is the greatest common divisor of h and b? 1 Let m be (8/6)/((-30)/(-45)). Suppose 7 = -q + 3*w, -m*q + 4*w + 4 - 14 = 0. Let u be 55/((-3 + 2)/q). What is the highest common divisor of 11 and u? 11 Suppose v = 5*v - 60. Suppose v = -11*r + 14*r. What is the highest common factor of r and 55? 5 Let i be (-3 + -17)/((-6)/27). Suppose i = -4*v + 290. Let z = 11 + -1. What is the highest common divisor of v and z? 10 Let h be ((-1)/2)/((-3)/(-6)). Let c be 18/(-9*h/24). Calculate the highest common factor of 72 and c. 24 Let s = -82 - -1206. Suppose 956 + s = 13*q. Calculate the greatest common divisor of q and 64. 32 Let i be 2/6 + (-66)/(-18). Let q be (-1 + 0 + i)*2. Let u be (38/q + -3)*9. Calculate the greatest common divisor of 120 and u. 30 Let u be 9/(-6)*16/(-6). Let p = 88 - 56. What is the greatest common factor of u and p? 4 Let g be (-366)/(-54) + ((-20)/(-18))/5. Let b be (-2)/2*14/(-2). Calculate the greatest common divisor of g and b. 7 Let w be 4/(-30)*-6*5. Suppose -3*j = -w*j + 4. Suppose 0 = -3*b - 4*v + 38, -j*b - 4*v = -28 - 24. Calculate the greatest common factor of 126 and b. 14 Suppose 37*o - 36*o = 2. Suppose 0 = -0*u + 2*u - o*b - 56, 0 = -u + 4*b + 40. Calculate the highest common divisor of 12 and u. 12 Let f(b) = b**3 - 4*b**2 - 5*b + 6. Suppose 10 + 15 = 5*z. Let w be f(z). Let r = 46 + -31. Calculate the greatest common factor of r and w. 3 Suppose 57 = -2*s + 4*s - 3*t, 4*s + t - 79 = 0. What is the greatest common factor of s and 147? 21 Let q(m) be the first derivative of m**4/2 + m**3/3 - m**2/2 + 3*m + 7. Let t be q(-2). Let r = t - -23. What is the greatest common factor of 40 and r? 8 Suppose -f = -3*c - 42, -4*c + 7 = -2*f + 3*f. Let d = 65 + -29. What is the highest common factor of f and d? 9 Suppose 0 = -43*i + 31 + 227. What is the greatest common factor of i and 384? 6 Let r(i) be the third derivative of -i**6/120 - i**5/12 + i**4/8 - 4*i**3/3 + 13*i**2. Let x be r(-6). Calculate the highest common factor of 70 and x. 10 Let g be (-22)/(-99) + 52/9. Suppose 2*d - 4*d = 4. Let f(n) = -22*n - 2. Let u be f(d). Calculate the greatest common factor of u and g. 6 Let a be -15*10 - 4/(-2). Let o = a + 240. Let m(y) = 7*y - 12. Let p be m(5). What is the highest common divisor of o and p? 23 Let b(c) = 4*c**2 + 42*c - 207. Let i be b(-16). Suppose 0 = -u + 5*y - 0*y + 39, 0 = 5*y + 10. What is the greatest common divisor of u and i? 29 Suppose 5*i - 64 = 3*v, 2*i - 8*v - 13 = -11*v. What is the highest common factor of 11 and i? 11 Let y(j) = 4*j**3 + 2*j**2 - 3*j + 1. Suppose 0 = -2*n + n + 1. Let x be y(n). Let k = -11 + 17. Calculate the highest common divisor of k and x. 2 Let w = 68 + -14. Suppose v - 6 = -3*g + 10, 2*g = -5*v + w. What is the greatest common factor of 80 and v? 10 Suppose -z - 4*y = 0, z - 2*y = -y + 10. Let s(t) = -3*t + 244. Let d be s(60). What is the greatest common divisor of z and d? 8 Let u be 214/9 + (-2)/(-9). Suppose -3*g + u = -12. What is the greatest common factor of g and 96? 12 Suppose 0 = -40*h + 37*h - 3, 3*h = o - 23. What is the greatest common divisor of 3020 and o? 20 Let x(v) = -v**3 + 2*v**2 + 3*v - 3. Let p be x(-3). Suppose -3*q + p = 9. Let a = 155 - 91. Calculate the greatest common factor of q and a. 8 Let m(u) = -6*u**2 + 76*u + 48. Let z be m(13). Calculate the highest common divisor of z and 715. 11 Suppose 0*v - 4*d + 166 = 3*v, 57 = v + d. Let q be 32/24 + v/3. What is the greatest common factor of 55 and q? 11 Suppose -3*m + m + 52 = 0. Let u(x) = x**2 + 20*x + 105. Let a be u(-13). Let h = m - a. What is the highest common divisor of 6 and h? 6 Let w be 1 + -4 - (5 + -80 - -2). Calculate the greatest common divisor of w and 105. 35 Suppose 0 = -312*r + 329*r - 17629. Calculate the greatest common divisor of 61 and r. 61 Let r = 22 + -16. Let i = 13 - r. Suppose 6 = i*t - 15. What is the highest common divisor of 12 and t? 3 Let c(w) be the first derivative of -w**3/3 - 13*w**2/2 + 6*w + 11. Let m be c(-11). What is the highest common divisor of 28 and m? 28 Suppose 7*t = 8*t - 3. Suppose -y + t*y + 2*h = 120, -3*h - 212 = -4*y. Let s be 14/4*(4 + 0). What is the greatest common divisor of y and s? 14 Suppose s + 4*j - 32 = -12, -5*s + j + 142 = 0. What is the highest common divisor of s and 70? 14 Let k be 28/6 + 20/(-30). Let i = 20 + k. Let c be i/(-12)*34/(-4). Calculate the greatest common factor of 187 and c. 17 Suppose 45*h - 76*h = -5890. Calculate the greatest common factor of 50 and h. 10 Let b be -6*(80/(-5) + 6 - 1). What is the greatest common divisor of b and 30? 6 Let o = 274 - -13. Let y be o/6 + (116/(-24) - -5). What is the greatest common factor of y and 6? 6 Let q be 6 - (7 - 4) - (-2 + -31). Calculate the highest common factor of q and 1152. 36 Let z(x) = 98*x**2 - x - 1. Suppose -4*s + g - 9 = 0, 2*g - 4*g = s - 9. Let o be z(s). Calculate the greatest common factor of o and 28. 14 Suppose i - 6 = -h - 2, 0 = -3*h + 5*i - 4. Suppose h*f = f + 23. Calculate the highest common factor of 46 and f. 23 Let f(s) = 25*s**2 - 3*s - 4. Let c be f(2). Calculate the greatest common divisor of c and 30. 30 Let u be ((-96)/10)/((-24)/80). Suppose 0 = -5*w - t + 955, -3*t + 6*t = 3*w - 591. Calculate the highest common factor of w and u. 32 Let f(b) = 17*b - 3. Let n
{ "pile_set_name": "DM Mathematics" }
539. Determine w(v). -5 Let b = -44 - -46. Let a(r) = r**3 + 9*r**2 - 10*r**b - 8*r**2 - 17 + 16*r. Let z be a(7). Let c(v) = v**3 + 3*v**2 + 2*v. Give c(z). -6 Let p = 4702 + -4703. Let w(u) = -22*u**2 - 21*u + 1. What is w(p)? 0 Let h(d) = 52*d + 1. Let m(n) = -935*n - 35. Let c(f) = 18*h(f) + m(f). Let v(j) = 2*j**3 - 3*j**2 - 5*j + 4. Let t be v(3). Determine c(t). -1 Suppose 4*n - 318 = 390. Suppose -n + 16 = -7*b. Suppose 9*k + 4 = -b. Let u(z) = z - 4. What is u(k)? -7 Suppose k - 8*k + 133 = 0. Let d(l) = 25*l - 45*l + k*l. What is d(5)? -5 Suppose -84*q - f = -81*q + 5, -5 = 2*q + f. Let j(m) = -m**2 + 3*m + 6. Let v(p) = -2*p**2 + 7*p + 11. Let z(s) = -9*j(s) + 4*v(s). Calculate z(q). -10 Let p(c) = -15*c + 3. Let y = 85 - 80. Suppose -3*m + 11 = y*k, m - 2 = -2*k + 2. Calculate p(m). -27 Let y(d) = 2*d**2 + 4 - 28*d - 1 - 7 - 1 + 21*d. Give y(-4). 55 Let p(o) = o - 7. Let i be p(4). Let v = -2 + i. Let r(g) be the third derivative of g**6/120 + g**5/12 + g**4/8 + 7*g**3/6 - 92*g**2. Calculate r(v). -8 Let r(f) = -f**2 - 25*f + 1536. Let g be r(-54). Let j(s) = 4*s**2 + 119*s - 25. Give j(g). 5 Let r(x) be the first derivative of -x**3 - x**2 + x - 7732. Let l(m) = m. Let z be l(2). Determine r(z). -15 Let a(g) = g**2 + 12*g + 4. Suppose -3*f = 9*f - 1332. Let v = f + -121. Determine a(v). -16 Let b(r) be the second derivative of -r**5/20 + 5*r**4/2 + 32*r**3/3 + 4*r**2 + 15*r. Let g be b(32). Let c(k) = k**3 - 9*k**2 + 8*k - 1. Determine c(g). -1 Suppose 15*y = 12*y + 6. Suppose 4*h - 29 = -s, y*h - 4*s = -0*h + 10. Suppose 9*t = 11 + h. Let o(k) = -k**3 + 3*k**2 - k + 1. Give o(t). 3 Let m(s) = 3*s + 6. Suppose 3*j + 4 = 3*i + j, -3*j = 5*i - 13. Let d be 1*((i - -4)/3 + 2). Suppose 4*p + 1 = 4*v - 9*v, 4 = 2*p + d*v. What is m(p)? -6 Let j(w) = 5*w + 13. Let b = 9395 - 9398. What is j(b)? -2 Let k(u) = 5*u + 4*u**2 - 8*u - 3*u**2. Let y(s) = -6*s**3 - 2*s**2 - s + 1. Let r be (-1 - 1 - -3)/(-1). Let w be y(r). Determine k(w). 18 Let j(k) = 4*k**2 + 7 - k**2 - 9*k - 2*k**2. Let p(q) = -q - 1. Let d(u) = -u**2 + 18*u + 12. Let a(m) = d(m) + 4*p(m). Let i be a(14). Give j(i). -1 Let w(x) = 2*x - 2. Let y = 220 + -482. Let n = y + 270. What is w(n)? 14 Let m(x) = 9*x**3 - 7*x**2 - 2*x + 1. Let f(i) = 4*i**3 - 3*i**2 + i. Let h(j) = -2*f(j) + m(j). Determine h(-2). -3 Let m(u) = -42 + u - 41 - 2*u + 85 - 25*u**2. Determine m(1). -24 Let t(r) = 19*r**3 + 14*r - 46 - 18*r**3 + 9*r**2 + 44. Give t(-7). -2 Let p(f) = -2*f**3 - 23*f**2 - 8*f + 10. Let k be (385/105)/(1*5/(-15)). Calculate p(k). -23 Let o(h) = 24*h**2 + 720*h + 1. Let d be o(-30). Let i(g) = 11*g. Give i(d). 11 Let j(h) = 5*h - 20. Suppose 3*u - q + 75 = 0, -4*q + 90 = -5*u - 42. Determine j(u). -140 Let t(r) be the first derivative of r**4/4 + 22*r**3/3 + 21*r**2/2 - 3*r - 3486. Determine t(-21). -3 Let z(p) = -p**3 - 440 - 6*p + 155 - 14*p**2 + 145 + 149 + 15*p**2. What is z(0)? 9 Let r be (-44)/(-8)*232/638. Let m(t) be the first derivative of -23 + 3/2*t**r + t. What is m(-2)? -5 Suppose 3*k = -3*w + 48, 7*w + 50 = 4*k + 4*w. Let d(l) = k*l + 12*l + 4 + 14*l - 38*l. Determine d(-8). -12 Let v(n) = 10*n. Suppose 16 = 41*b - 37*b. Let t(k) = -27*k + 107. Let q be t(b). Calculate v(q). -10 Let g(b) be the third derivative of b**5/60 + b**4/6 + 2*b**3/3 - 14*b**2. Let h(q) = -2*q. Let x be h(-1). Suppose 9*s - x*s + 28 = 0. Give g(s). 4 Let j(z) be the first derivative of -z**4/4 + 29*z**3/3 - z**2/2 + 20*z + 4522. Determine j(29). -9 Let w(z) = 3*z**2 - 4*z - 3. Let h(l) = 4*l + 24. Let a be h(-4). Suppose 104*b + a = 100*b. Determine w(b). 17 Let u be 252/(11 + -5) + (-3)/3. Let b(y) = u*y - 26*y + 5 - 18*y - 2. What is b(5)? -12 Let l = 867 - 453. Suppose 65*s - 106 = l. Let t(z) = 5 + z - 5. What is t(s)? 8 Let u be (-3168)/121 + 2/11. Let r = 33 + u. Let n(c) be the third derivative of c**5/60 - 3*c**4/8 - c**3/3 - 197*c**2. Calculate n(r). -16 Suppose -8*s + 182 = -s. Suppose -2 = 4*v - s. Let y = 0 - v. Let g(b) = b - 1. What is g(y)? -7 Let m = 4 + -6. Let g = -424 - -426. Let p(u) = 10 + u**2 - 4*u**g + 5 - 18 + 5. Calculate p(m). -10 Let w = -14690 - -14697. Let b(t) = 2*t. Give b(w). 14 Let x(i) be the third derivative of 17*i**6/40 + i**4/8 + i**3/3 - 2567*i**2. Give x(-1). -52 Let u(s) = 8*s**2 - 14*s - 19. Suppose l = -b - 3*l + 12, 0 = 5*l - 20. Let t(c) = 3*c**2 - 5*c - 6. Let r(w) = b*u(w) + 11*t(w). Determine r(0). 10 Let d(r) = -9*r**2 + 6*r + 36. Let q(x) = 5*x**2 - 2*x - 19. Let b = -1 - 6. Let j(w) = b*q(w) - 4*d(w). What is j(8)? -27 Let k(f) = -15*f - 27*f + 6*f + 677 - 5*f - 506. Determine k(5). -34 Let x(d) = -2*d**3 + 10*d**2 + d + 1. Let k be (90/75)/(3/5). Let t be k + (-7)/(-3) + 46/69. Give x(t). 6 Suppose -4*p - g - 24 = 0, -352*g = 5*p - 357*g + 30. Let s(m) = -m**2 - 2*m - 7. What is s(p)? -31 Let o = -443 + 438. Let w(g) = 4 + g**3 + 0*g**2 - 5*g + 2*g + 4*g**2 + g. Give w(o). -11 Let c(l) = l**3 + 5*l**2 + 3*l - 2. Let u be (-4 - -4)/((0 - -3) + -2). Suppose -4*z + 0*z - 3*z = u. Suppose z = 3*p + 3 - 0, v - 2*p = -1. Give c(v). 7 Suppose -4*s = 20, 2*s - 19 - 15 = 4*m. Let n(u) be the second derivative of u**4/6 + 23*u**3/6 + 5*u**2 - 8059*u. Calculate n(m). -1 Let n(m) = -12*m + 3. Suppose -4*g = 2*l - 262, 0 = 4*g - 6*g + 2. Suppose 0 = -x - l + 131. Calculate n(x). -21 Let i(u) be the third derivative of -3*u**5/40 - 3*u**3/2 - 183*u**2. Let g(r) be the first derivative of i(r). Determine g(-1). 9 Let z(h) = -h**2 - 8*h - 12. Let q(j) = -j**3 + 5*j**2 - 19*j + 56. Let i be q(4). What is z(i)? 4 Let y(s) = 11*s + 104. Let u = -5893 + 5886. Determine y(u). 27 Let s(n) = -38*n**3 + 13 - 12 + 19*n**3 + 20*n**3 - 2*n + 6 + 4*n**2. Suppose -4*a + 5 = -5*a. Calculate s(a). -8 Let t(x) = -5*x + 9*x - 16*x - 48 - x**2. Give t(-9). -21 Let b(x) = -10*x - 12. Suppose -9 = -3*z + r + 10, 21 = 2*z + r. Determine b(z). -92 Suppose -17*o + 849 - 594 = 0. Let i(c) = -c**3 + 16*c**2 - 16*c + 7. Calculate i(o). -8 Suppose -96 = -3*t + 18. Let v = -37 + t. Suppose -x - 3 = w - v, 5*x = 3*w - 18. Let d(k) = -k. Give d(w). -1 Suppose 3*p + b + 29 = 4*p, -p + 28 = -2*b. Let m = p + -28. Let q(t) = 5*t**m - 6 + 3 + 4*t**2 + 4. Calculate q(-1). 10 Let c(m) = m**2 - 7*m - 5. Suppose -4*q = -6*q. Suppose -4*t + 4*v + 8 = q, 0*v + 2*v - 2 = -t. Suppose 0 = -2*d - 0*d, 24 = 4*k - t*d. Determine c(k). -11 Let y(h) = h**2 - 7*h - 26. Let x = 9688 + -9682. Give y(x). -32 Let x(b) be the third derivative of -b**6/120 + b**5/60 + 5*b**4/24 + 5*b**3/6 - 6*b**2 + 44. What is x(-2)? 7 Let w(c) = -48 + 0*c**2 + 17*c - 41*c + c**2 + 26*c. Give w(6). 0 Let b(v) = 2*v**3 - 3*v**2 - 2*v + 6. Let c(d) = 2*d**3 + d**2 - d. Let i(a) = -b(a) + 2*c(a). Calculate i(-4). -54 Let d(s) = s**3 - 12679 + 16*s**2 + 4219 + 4238 + 39*s + 4250. Give d(-13). 28 Let u(f) be the third derivative of f**6/15 + f**5/60 + f**4/12 - f**3/6 + 25*f**2 + 19. Determine u(-2). -65 Let l(y) = y**3 + 4*y + 4*y**2 - 4*y - 5 - 5*y. Let n(v) = -6*v**2 - 83*v - 266. Let q be n(-9). Determine l(q). -5 Let f(q) = -q - 21. Let v(l) = 14*l + 148. Let o(r) = 10*f(r) + v(r). Determine o(25). 38 Let m(n) = -15*n + 1. Let j be (-520)/(-140) - 2/(-7). Suppose 0 = -8*u + j*u + 12. Suppose -3*h + 7 = -0*f + 2*f, u*f = -h. Give m(f). 16 Let j(a) be the second derivative of a**8/6720 + a**7/420 + a**5/24 - 5*a**4/12 - a**3/3 + 3*a - 5. Let q(s) be the third derivative of j(s). Determine q(-6). 5 Let w(d) be the first derivative of -3*d - 1 + 2*d**2 + 1/4*d**4 - 2/3*d**3. Suppose 8 = 4*v - 2*n, 3*n + 8 = 517*v - 513*v. Give w(v). 5 Suppose i = 10*i - 9. Let x(t) = 10*t - 2. Let p(l) be the third derivative of l**4/24 + l**3/6 - 14*l**2. Let q(j) = i*p(j) - x(j). Calculate q(4). -33 Let c(a) = -7*a**2 - 3*a - 6. Let z(r) = -3*r**2 - 2*r - 3. Let u(m) = -2*c(m) + 5*z(m). Let o(h) be the first derivative of u(h). Give o(-3). 2 Let v(l) = l**3 - 6*l**2 - 7*l + 2. Suppose 184*p - 140 = 164*p. Determine v(p). 2 Suppose -r - 26 = 5*t, 3*t - 49*r + 13 = -47*r. Let w(h) = 2*h + 10. Determine w(t). 0 Let i(q) = -18*q - 175. Let v be i(-10). Let h(x) = 0*x - 19*x**2 + 2*x - v*x - 7 + 18*x**2. Give h(-5). -17 Let i(w) = 39*w**2 + 3*w + 8 + 7*w + 39*w**2 + 5*w**3 - 79*w**2. Let g(f) = -4*f**3 + f**2 - 8*f - 9. Let r(d) = 4*g(d) +
{ "pile_set_name": "DM Mathematics" }
e there in 23.17596ng? 0.00000002317596 What is 6252.661 centimeters in kilometers? 0.06252661 What is eighteen fifths of a litre in millilitres? 3600 What is 425.9269 centuries in months? 511112.28 How many seconds are there in 1/15 of a week? 40320 What is 77795.13ml in litres? 77.79513 What is 54/5 of a tonne in kilograms? 10800 What is seventeen quarters of a century in months? 5100 How many microseconds are there in 99.77748s? 99777480 How many millilitres are there in seven quarters of a litre? 1750 How many centuries are there in 29.23478 decades? 2.923478 How many millilitres are there in 76.33797l? 76337.97 How many minutes are there in 69.53531 weeks? 700915.9248 How many millilitres are there in 1969.359 litres? 1969359 Convert 52.22181 litres to millilitres. 52221.81 What is 69.94694kg in milligrams? 69946940 What is 416.6857 millilitres in litres? 0.4166857 How many years are there in fifty-three fifths of a century? 1060 What is 1.705552 nanograms in kilograms? 0.000000000001705552 How many decades are there in 49.56261 centuries? 495.6261 How many millilitres are there in 4.655066l? 4655.066 Convert 6175.029l to millilitres. 6175029 What is three fifths of a millimeter in micrometers? 600 How many litres are there in 3.81474ml? 0.00381474 How many meters are there in 72/5 of a kilometer? 14400 How many decades are there in 113.5783 millennia? 11357.83 How many months are there in 1/15 of a century? 80 Convert 62.72166 centimeters to micrometers. 627216.6 How many minutes are there in sixty-two sevenths of a week? 89280 What is 0.9819128ml in litres? 0.0009819128 How many months are there in thirty-seven halves of a decade? 2220 What is 181.4353mg in nanograms? 181435300 What is 2512.8402ns in minutes? 0.00000004188067 How many millilitres are there in 1829.182l? 1829182 What is 1/5 of a millennium in months? 2400 Convert 18.41953ns to milliseconds. 0.00001841953 What is 5.701326ml in litres? 0.005701326 How many milligrams are there in 3/50 of a gram? 60 How many micrometers are there in nine tenths of a centimeter? 9000 What is 31/2 of a tonne in kilograms? 15500 What is 29/5 of a centimeter in millimeters? 58 What is one sixth of a century in months? 200 How many milliseconds are there in sixteen fifteenths of a minute? 64000 How many minutes are there in 1/4 of a week? 2520 What is 5/4 of a litre in millilitres? 1250 How many millilitres are there in 0.6465254 litres? 646.5254 What is three fifths of a millennium in decades? 60 How many millilitres are there in twenty-one halves of a litre? 10500 What is 482.3071 meters in kilometers? 0.4823071 How many milligrams are there in seven halves of a gram? 3500 What is four fifteenths of a week in minutes? 2688 What is one sixteenth of a millimeter in nanometers? 62500 What is 1009.5549 months in years? 84.129575 What is 28/15 of a minute in seconds? 112 How many months are there in fifty-five thirds of a decade? 2200 Convert 0.3912083 centimeters to micrometers. 3912.083 What is one twentieth of a millennium in years? 50 What is 3/40 of a tonne in grams? 75000 Convert 5287.538 days to microseconds. 456843283200000 How many millilitres are there in 0.1873282l? 187.3282 What is 42/5 of a meter in millimeters? 8400 Convert 0.743432 litres to millilitres. 743.432 How many nanoseconds are there in 3/40 of a microsecond? 75 How many nanoseconds are there in 0.4593785 weeks? 277832116800000 Convert 0.0188112 kilograms to micrograms. 18811200 Convert 5.03301mg to kilograms. 0.00000503301 Convert 8.42177 millilitres to litres. 0.00842177 What is 62451.92km in centimeters? 6245192000 What is 1.180527 millennia in months? 14166.324 What is 0.5625499 nanometers in centimeters? 0.00000005625499 How many litres are there in 69008.09 millilitres? 69.00809 Convert 13.72125 millilitres to litres. 0.01372125 What is thirty-seven fifths of a meter in millimeters? 7400 What is 6518.688 litres in millilitres? 6518688 What is nine tenths of a century in decades? 9 What is 20.867214 months in years? 1.7389345 What is five quarters of a litre in millilitres? 1250 How many millilitres are there in five quarters of a litre? 1250 What is twenty-one eighths of a microgram in nanograms? 2625 How many months are there in 9667.625 decades? 1160115 What is 19/4 of a litre in millilitres? 4750 How many decades are there in 17/4 of a millennium? 425 What is 5/4 of a litre in millilitres? 1250 What is 981.31 kilometers in nanometers? 981310000000000 How many seconds are there in 761645.7us? 0.7616457 Convert 4729.04ng to grams. 0.00000472904 What is 47.84373g in kilograms? 0.04784373 How many centimeters are there in thirty-three tenths of a meter? 330 How many minutes are there in 5/6 of a week? 8400 How many seconds are there in 70/9 of a hour? 28000 What is 443614.9mg in grams? 443.6149 What is 720.0134 decades in months? 86401.608 How many minutes are there in 6/5 of a hour? 72 What is 21/8 of a week in minutes? 26460 How many nanometers are there in 3/8 of a micrometer? 375 What is one quarter of a meter in millimeters? 250 What is seven quarters of a litre in millilitres? 1750 What is 4.333587 tonnes in kilograms? 4333.587 What is 21/5 of a kilometer in meters? 4200 What is 20.3331 nanograms in kilograms? 0.0000000000203331 What is 44.5738 millennia in centuries? 445.738 How many litres are there in 8460.637ml? 8.460637 What is eleven quarters of a hour in minutes? 165 What is two sevenths of a week in minutes? 2880 What is 29/5 of a hour in minutes? 348 Convert 9.163034l to millilitres. 9163.034 How many micrograms are there in 5.245687 milligrams? 5245.687 What is one sixteenth of a tonne in grams? 62500 How many millilitres are there in 44/5 of a litre? 8800 What is 12/25 of a litre in millilitres? 480 Convert 9550.983 millennia to months. 114611796 What is 1/4 of a millimeter in micrometers? 250 Convert 40.21211g to nanograms. 40212110000 How many millilitres are there in one fifth of a litre? 200 Convert 861845.4 milliseconds to hours. 0.2394015 How many centimeters are there in one tenth of a kilometer? 10000 What is 28.7651 seconds in nanoseconds? 28765100000 What is one fifth of a hour in minutes? 12 How many hours are there in 344110.9 weeks? 57810631.2 What is three tenths of a week in minutes? 3024 Convert 6.6157 hours to microseconds. 23816520000 What is one quarter of a kilogram in grams? 250 Convert 95.80098 milligrams to tonnes. 0.00000009580098 How many months are there in 395.4064 millennia? 4744876.8 What is 700263.3 litres in millilitres? 700263300 What is fifty-four fifths of a meter in centimeters? 1080 How many kilograms are there in 95604.29g? 95.60429 What is eighteen fifths of a tonne in kilograms? 3600 How many centimeters are there in 6/25 of a meter? 24 How many kilometers are there in 822486.6mm? 0.8224866 How many nanograms are there in 81/4 of a microgram? 20250 What is 6550.666 centimeters in micrometers? 65506660 How many years are there in 67.94286 millennia? 67942.86 How many meters are there in one quarter of a kilometer? 250 What is nineteen quarters of a millimeter in micrometers? 4750 Convert 8.073584us to seconds. 0.000008073584 What is 8/7 of a week in days? 8 How many micrograms are there in 0.3724766 nanograms? 0.0003724766 Convert 99112.08 minutes to microseconds. 5946724800000 How many millilitres are there in 0.6983349l? 698.3349 What is eighty-one halves of a litre in millilitres? 40500 How many milliseconds are there in 25881.32 weeks? 15653022336000 Convert 22.36626 millilitres to litres. 0.02236626 What is 11/2 of a micrometer in nanometers? 5500 What is 69/2 of a litre in millilitres? 34500 What is 3850.857 months in millennia? 0.32090475 What is one quarter of a gram in milligrams? 250 What is 295082.3 millennia in centuries? 2950823 Convert 47.48788ml to litres. 0.04748788 What is five quarters of a week in minutes? 12600 What is 6/5 of a microgram in nanograms? 1200 How many microseconds are there in 17240.03 milliseconds? 17240030 How many grams are there in seven quarters of a kilogram? 1750 What is four thirds of a week in hours? 224 What is seven eighths of a micrometer in nanometers? 875 How many grams are there in 95313.53t? 95313530000 How many
{ "pile_set_name": "DM Mathematics" }
integer? 6 What is 857955 to the power of 1/5, to the nearest integer? 15 What is the cube root of 1452037 to the nearest integer? 113 What is 132464 to the power of 1/3, to the nearest integer? 51 What is the cube root of 9934633 to the nearest integer? 215 What is 256633 to the power of 1/7, to the nearest integer? 6 What is 253248 to the power of 1/2, to the nearest integer? 503 What is the square root of 192199 to the nearest integer? 438 What is 171537 to the power of 1/4, to the nearest integer? 20 What is the square root of 154830 to the nearest integer? 393 What is the third root of 2654808 to the nearest integer? 138 What is the third root of 33667698 to the nearest integer? 323 What is 6606848 to the power of 1/10, to the nearest integer? 5 What is 705488 to the power of 1/2, to the nearest integer? 840 What is the third root of 19929985 to the nearest integer? 271 What is 4689666 to the power of 1/2, to the nearest integer? 2166 What is the third root of 2993643 to the nearest integer? 144 What is the square root of 134046 to the nearest integer? 366 What is 8740353 to the power of 1/2, to the nearest integer? 2956 What is 6029601 to the power of 1/8, to the nearest integer? 7 What is 631991 to the power of 1/2, to the nearest integer? 795 What is the cube root of 788044 to the nearest integer? 92 What is 1294449 to the power of 1/7, to the nearest integer? 7 What is the fifth root of 1153052 to the nearest integer? 16 What is the square root of 1152238 to the nearest integer? 1073 What is 1156277 to the power of 1/3, to the nearest integer? 105 What is the eighth root of 9041520 to the nearest integer? 7 What is 16011696 to the power of 1/2, to the nearest integer? 4001 What is 940088 to the power of 1/9, to the nearest integer? 5 What is 109693 to the power of 1/8, to the nearest integer? 4 What is the square root of 726308 to the nearest integer? 852 What is 2309762 to the power of 1/2, to the nearest integer? 1520 What is 6331091 to the power of 1/4, to the nearest integer? 50 What is the third root of 2629 to the nearest integer? 14 What is the square root of 34156 to the nearest integer? 185 What is 130202 to the power of 1/4, to the nearest integer? 19 What is the cube root of 16667491 to the nearest integer? 255 What is 543817 to the power of 1/2, to the nearest integer? 737 What is the fifth root of 615003 to the nearest integer? 14 What is 80653 to the power of 1/8, to the nearest integer? 4 What is the seventh root of 2971984 to the nearest integer? 8 What is the cube root of 255253 to the nearest integer? 63 What is the sixth root of 8296194 to the nearest integer? 14 What is the third root of 619321 to the nearest integer? 85 What is 4046637 to the power of 1/2, to the nearest integer? 2012 What is the square root of 11048750 to the nearest integer? 3324 What is 8024233 to the power of 1/8, to the nearest integer? 7 What is 425337 to the power of 1/3, to the nearest integer? 75 What is the seventh root of 16160412 to the nearest integer? 11 What is 12534873 to the power of 1/4, to the nearest integer? 60 What is the ninth root of 169560 to the nearest integer? 4 What is 276382 to the power of 1/10, to the nearest integer? 4 What is the fifth root of 161252 to the nearest integer? 11 What is the square root of 1860769 to the nearest integer? 1364 What is the third root of 8921265 to the nearest integer? 207 What is 457000 to the power of 1/5, to the nearest integer? 14 What is the square root of 5700691 to the nearest integer? 2388 What is 466433 to the power of 1/3, to the nearest integer? 78 What is 237515 to the power of 1/4, to the nearest integer? 22 What is 202204 to the power of 1/2, to the nearest integer? 450 What is 402104 to the power of 1/4, to the nearest integer? 25 What is 909301 to the power of 1/10, to the nearest integer? 4 What is the fifth root of 404387 to the nearest integer? 13 What is the cube root of 6401853 to the nearest integer? 186 What is the eighth root of 28824 to the nearest integer? 4 What is 3827028 to the power of 1/2, to the nearest integer? 1956 What is 393296 to the power of 1/2, to the nearest integer? 627 What is the square root of 1096916 to the nearest integer? 1047 What is the square root of 104216 to the nearest integer? 323 What is the cube root of 1053459 to the nearest integer? 102 What is 4734923 to the power of 1/3, to the nearest integer? 168 What is 1618278 to the power of 1/2, to the nearest integer? 1272 What is 74898 to the power of 1/5, to the nearest integer? 9 What is the cube root of 31690817 to the nearest integer? 316 What is the seventh root of 1538795 to the nearest integer? 8 What is the eighth root of 1624016 to the nearest integer? 6 What is the square root of 14437002 to the nearest integer? 3800 What is the eighth root of 671266 to the nearest integer? 5 What is the fifth root of 10664857 to the nearest integer? 25 What is the square root of 326821 to the nearest integer? 572 What is the fourth root of 102911 to the nearest integer? 18 What is the cube root of 709842 to the nearest integer? 89 What is 12643514 to the power of 1/2, to the nearest integer? 3556 What is the fourth root of 326360 to the nearest integer? 24 What is the square root of 321094 to the nearest integer? 567 What is the third root of 6376004 to the nearest integer? 185 What is 272524 to the power of 1/3, to the nearest integer? 65 What is 24429627 to the power of 1/3, to the nearest integer? 290 What is 83487 to the power of 1/9, to the nearest integer? 4 What is 119290 to the power of 1/2, to the nearest integer? 345 What is 5619 to the power of 1/3, to the nearest integer? 18 What is the fourth root of 16046693 to the nearest integer? 63 What is the third root of 33031932 to the nearest integer? 321 What is 4921450 to the power of 1/2, to the nearest integer? 2218 What is the cube root of 6086351 to the nearest integer? 183 What is 57056 to the power of 1/6, to the nearest integer? 6 What is 111057 to the power of 1/5, to the nearest integer? 10 What is 678015 to the power of 1/9, to the nearest integer? 4 What is 254586 to the power of 1/9, to the nearest integer? 4 What is the fifth root of 310183 to the nearest integer? 13 What is the third root of 2895487 to the nearest integer? 143 What is 11763121 to the power of 1/3, to the nearest integer? 227 What is 176494 to the power of 1/7, to the nearest integer? 6 What is 3596060 to the power of 1/9, to the nearest integer? 5 What is the square root of 8962179 to the nearest integer? 2994 What is 1086557 to the power of 1/3, to the nearest integer? 103 What is the cube root of 655514 to the nearest integer? 87 What is the cube root of 450125 to the nearest integer? 77 What is the cube root of 8091844 to the nearest integer? 201 What is the fourth root of 506956 to the nearest integer? 27 What is the cube root of 8908634 to the nearest integer? 207 What is 6383978 to the power of 1/7, to the nearest integer? 9 What is the cube root of 25733636 to the nearest integer? 295 What is the third root of 4945009 to the nearest integer? 170 What is 10614109 to the power of 1/8, to the nearest integer? 8 What is the third root of 1575127 to the nearest integer? 116 What is the third root of 28539838 to the nearest integer? 306 What is 18183766 to the power of 1/2, to the nearest integer? 4264 What is the fourth root of 150310 to the nearest integer? 20 What is the seventh root of 956231 to the nearest integer? 7 What is the third root of 10710400 to the nearest integer? 220 What is the tenth root of 4655265 to the nearest integer? 5 What is 11038081 to the power of 1/2, to the nearest integer? 3322 What is the square root of 376290 to the nearest integer? 613 What is 356129 to the power of 1/2, to the nearest integer? 597 What is 9139554 to the power of 1/4, to the nearest integer? 55 What is 1053702 to the power of 1/9, to the nearest integer? 5 What is 12547525 to the power of 1/10, to the nearest integer? 5 What is the third root of 314974 to the nearest integer? 68 What is 926985 to the power of 1/2, to the nearest integer? 963 What is the ninth root of 1539656 to the nearest integer? 5 What is the cube root of 4589990 to the nearest
{ "pile_set_name": "DM Mathematics" }
, j: 7}? 1/8 Two letters picked without replacement from hhrhhgghgg. Give prob of sequence hr. 1/18 Calculate prob of sequence tt when two letters picked without replacement from tztuzzutuutzuuz. 2/35 Three letters picked without replacement from qpoogqgxqmg. What is prob of sequence xog? 1/165 Two letters picked without replacement from {i: 4, k: 10}. Give prob of sequence ki. 20/91 Calculate prob of sequence bn when two letters picked without replacement from {v: 2, n: 2, b: 4, w: 1, d: 5}. 4/91 Four letters picked without replacement from {v: 6, r: 7}. Give prob of sequence rvvr. 21/286 Two letters picked without replacement from vfnnq. Give prob of sequence fv. 1/20 Calculate prob of sequence tnnd when four letters picked without replacement from {n: 4, d: 2, t: 1}. 1/35 What is prob of sequence uwo when three letters picked without replacement from owuowooggogow? 3/286 Four letters picked without replacement from {k: 1, m: 1, q: 2, u: 2, r: 1}. What is prob of sequence ukqu? 1/210 Two letters picked without replacement from wwoovow. What is prob of sequence vo? 1/14 Four letters picked without replacement from {f: 1, n: 1, z: 1, t: 5, g: 2, r: 3}. What is prob of sequence zggt? 1/1716 Three letters picked without replacement from tttttt. What is prob of sequence ttt? 1 Four letters picked without replacement from aoaoooaaoaaoa. Give prob of sequence aaoo. 21/286 What is prob of sequence uuug when four letters picked without replacement from {g: 1, m: 4, u: 9}? 3/143 Calculate prob of sequence rrm when three letters picked without replacement from mmrrmmmr. 5/56 What is prob of sequence eemd when four letters picked without replacement from {m: 2, d: 3, e: 3, k: 2, a: 3}? 3/1430 Four letters picked without replacement from okkoiokik. What is prob of sequence koki? 1/42 Two letters picked without replacement from mxkmnkmkkdk. Give prob of sequence xn. 1/110 Calculate prob of sequence ph when two letters picked without replacement from {p: 2, x: 5, h: 13}. 13/190 What is prob of sequence mmm when three letters picked without replacement from mxmmmxmm? 5/14 What is prob of sequence uruu when four letters picked without replacement from {r: 3, u: 15}? 91/816 Three letters picked without replacement from sqssscqsqcll. What is prob of sequence scc? 1/132 Three letters picked without replacement from vgggvggv. What is prob of sequence gvg? 5/28 Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwcwww. 5/6 What is prob of sequence kw when two letters picked without replacement from {k: 5, w: 3}? 15/56 Calculate prob of sequence jjii when four letters picked without replacement from jijiijjijiiiii. 60/1001 Three letters picked without replacement from {x: 3, k: 1, e: 2, t: 4}. What is prob of sequence xxk? 1/120 Four letters picked without replacement from emeweolywemewemoe. Give prob of sequence ymwm. 3/9520 What is prob of sequence lule when four letters picked without replacement from uell? 1/12 Two letters picked without replacement from {u: 2, r: 10, s: 4}. Give prob of sequence uu. 1/120 What is prob of sequence qgqo when four letters picked without replacement from {g: 2, o: 5, q: 9}? 3/182 Three letters picked without replacement from {y: 3, r: 1, s: 2, m: 1}. What is prob of sequence syy? 2/35 Calculate prob of sequence jij when three letters picked without replacement from jjjjijjijjjjj. 5/39 What is prob of sequence tz when two letters picked without replacement from {l: 1, t: 2, n: 10, z: 2, d: 5}? 1/95 Calculate prob of sequence nuu when three letters picked without replacement from nunnnnnnnuun. 9/220 Calculate prob of sequence ks when two letters picked without replacement from {j: 1, k: 3, d: 1, s: 1, z: 1}. 1/14 What is prob of sequence fqff when four letters picked without replacement from {f: 15, q: 3}? 91/816 Three letters picked without replacement from {m: 6, n: 1, q: 1, k: 5, z: 6}. Give prob of sequence nzk. 5/969 Four letters picked without replacement from {d: 3, f: 8}. What is prob of sequence ddff? 7/165 What is prob of sequence sqqx when four letters picked without replacement from qfcfxfcssxqqxfqqcsx? 5/1938 Two letters picked without replacement from {y: 6, j: 2, x: 4}. What is prob of sequence xy? 2/11 Two letters picked without replacement from {f: 2, u: 2, x: 1}. Give prob of sequence uf. 1/5 Calculate prob of sequence lltl when four letters picked without replacement from {l: 3, t: 1, m: 1}. 1/20 What is prob of sequence ieui when four letters picked without replacement from eeeeeueeeeieie? 1/1092 Two letters picked without replacement from {r: 3, v: 2}. What is prob of sequence rv? 3/10 What is prob of sequence akxp when four letters picked without replacement from rrxpparkarkrrkkk? 1/2184 Four letters picked without replacement from {c: 1, n: 5, b: 2, x: 1}. Give prob of sequence nnnc. 5/252 Two letters picked without replacement from owdtmytmyytodyo. Give prob of sequence yy. 2/35 What is prob of sequence gjg when three letters picked without replacement from vgujjvjgjvzzgrz? 4/455 Two letters picked without replacement from {p: 4, u: 2, i: 8}. Give prob of sequence ip. 16/91 What is prob of sequence lcc when three letters picked without replacement from {x: 3, c: 4, l: 1, v: 2}? 1/60 Three letters picked without replacement from {z: 2, j: 1, u: 6, f: 2, l: 3}. Give prob of sequence fzf. 1/546 What is prob of sequence zzz when three letters picked without replacement from zjczzzzzjzczjcjzzcz? 55/323 Calculate prob of sequence rfr when three letters picked without replacement from {r: 2, f: 1, c: 1, l: 1, q: 1, a: 2}. 1/168 Two letters picked without replacement from xtrjr. What is prob of sequence jr? 1/10 Three letters picked without replacement from {l: 4, k: 6, q: 2, n: 1, j: 7}. What is prob of sequence kkk? 1/57 Two letters picked without replacement from qdededdeeed. Give prob of sequence ee. 2/11 Three letters picked without replacement from sjlpsyjjj. What is prob of sequence lss? 1/252 Two letters picked without replacement from hycyyyuj. Give prob of sequence yc. 1/14 Four letters picked without replacement from rccrrccrrrrcrr. Give prob of sequence crrr. 15/143 Three letters picked without replacement from nnllnl. Give prob of sequence lnl. 3/20 What is prob of sequence tjtt when four letters picked without replacement from jjtttj? 1/20 Calculate prob of sequence aa when two letters picked without replacement from {x: 11, a: 5}. 1/12 What is prob of sequence dkm when three letters picked without replacement from kkdddkodokmcod? 5/546 Three letters picked without replacement from lceicccccccccl. Give prob of sequence cel. 5/546 What is prob of sequence mxd when three letters picked without replacement from {m: 4, e: 1, x: 1, s: 4, d: 1}? 2/495 Three letters picked without replacement from {k: 6, x: 2, g: 1, j: 4, w: 2}. Give prob of sequence xgw. 2/1365 Three letters picked without replacement from gxxbexgxkabgxbbxb. What is prob of sequence egg? 1/680 Two letters picked without replacement from {s: 1, e: 1, r: 1, o: 2, i: 1, x: 2}. Give prob of sequence ri. 1/56 Two letters picked without replacement from {d: 4, z: 2, o: 3, t: 1}. Give prob of sequence dt. 2/45 What is prob of sequence pp when two letters picked without replacement from zpppzppppzpzzppp? 11/24 Four letters picked without replacement from {b: 3, k: 6, g: 1, e: 2, f: 7}. What is prob of sequence kkke? 5/1938 Three letters picked without replacement from {k: 1, d: 1, h: 2, u: 2, l: 4}. Give prob of sequence uhd. 1/180 Four letters picked without replacement from howsvoyvs. What is prob of sequence owyv? 1/756 Two letters picked without replacement from xnxxxnxxnnnxx. Give prob of sequence xn. 10/39 What is prob of sequence iir when three letters picked without replacement from {o: 1, r: 2, i: 7}? 7/60 Calculate prob of sequence vk when two letters picked without replacement from {k: 2, v: 1}. 1/3 Two letters picked without replacement from {j: 2, a: 3, l: 4}. Give prob of sequence la. 1/6 Calculate prob of sequence crs when three letters picked without replacement from rrrrscsslcrcs. 5/143 Calculate prob of sequence nj when two letters picked without replacement from fjjjjjjnq. 1/12 Three letters
{ "pile_set_name": "DM Mathematics" }
? 2*a**2 - 10*a - 1 Let p(r) = -5*r + 4. Let f(q) = 5*q - 5. Let i(b) = -4*f(b) - 5*p(b). Let k(x) = 4*x. Determine -5*i(m) + 6*k(m). -m Let m be 2*(-1)/(-2)*9. Let j(a) = -m*a + 0*a - 1 + 2*a + 4. Let y(g) = g - 1. Give j(f) + 5*y(f). -2*f - 2 Let j(d) = 8*d**2 + 17*d + 30. Let g(m) = -3*m**2 - 6*m - 10. Determine -11*g(y) - 4*j(y). y**2 - 2*y - 10 Let c(p) = 2*p + 9. Let w(t) = -2*t - 9. Determine 3*c(j) + 4*w(j). -2*j - 9 Let c(q) = 8*q - 2. Let g(y) = 7*y - 1. Calculate -3*c(m) + 4*g(m). 4*m + 2 Let x(o) = 8*o - 5. Let r(p) = 17*p - 11. Determine 6*r(m) - 13*x(m). -2*m - 1 Let x(k) = -14*k + 17. Let t(w) be the third derivative of -5*w**4/24 + w**3 - 8*w**2. Give 17*t(u) - 6*x(u). -u Let i(l) = -l**2 + 4. Suppose q + 9 = 7. Let u(k) = -k**3 - 2*k**2 + 5. Give q*u(n) + 3*i(n). 2*n**3 + n**2 + 2 Let n(m) be the first derivative of m**3 - 5*m**2/2 - 2*m + 121. Let g(c) = 2*c - 2 + 1 - 4*c + c**2. Let r = -3 + 6. Calculate r*n(f) - 8*g(f). f**2 + f + 2 Let g(s) = 2*s**2 + 4*s - 5. Let w(h) = 4 + 4*h + h**2 - 8 + 0. Let a be w(-4). Let r(j) = j**2 + 3*j - 4. Determine a*r(k) + 3*g(k). 2*k**2 + 1 Let c = 2 + 0. Let n(g) = 6*g**3 + 0*g - c*g + 13*g. Let v(i) = i**3 + 2*i. Let b be 11/(-1 + 4 + -2). What is b*v(h) - 2*n(h)? -h**3 Let k(o) = 5*o**2 + 3*o - 2. Let q(l) = 9*l**2 + 5*l - 4. Suppose -62 = -5*b - 2. Let s be (-2)/(-2 + b/9). Give s*q(w) - 5*k(w). 2*w**2 - 2 Let g(p) = 2*p**2 + 4*p + 1. Let u(v) = 3*v**2 + 1 + 14*v - 13*v + v - 2*v**2. Determine 3*g(j) - 5*u(j). j**2 + 2*j - 2 Let l(v) = -3*v**2 - v + 1. Let q(s) = -10*s**2 - 3*s + 2. What is -8*l(x) + 3*q(x)? -6*x**2 - x - 2 Let x = -8 + 12. Let d(o) = 3*o + 3. Let i(f) = -2*f - 2. Give x*d(z) + 5*i(z). 2*z + 2 Let m(d) = 47*d**2 - 5*d + 1. Let x(z) = 12*z**2 - z. What is 2*m(n) - 9*x(n)? -14*n**2 - n + 2 Let h be (1/(-3))/(3/(-45))*-2. Let o(b) = -9*b**3 + 5*b**2 - 5*b - 5. Let d(y) = 5*y**3 - 3*y**2 + 3*y + 3. Give h*d(g) - 6*o(g). 4*g**3 Let o(y) = y**3 - y**2 + 1. Let w = 3 + -1. Let a(d) = 7*d**w + d + 2 + 4 - 3*d**3 - 13*d**2 + 10*d**3. What is a(i) - 6*o(i)? i**3 + i Let v(u) = -16*u - 4. Let w(h) = -1. What is -2*v(t) + 8*w(t)? 32*t Let u(p) = 3*p - 8. Let o = -29 - -15. Let t be (-4)/(-8)*o - -3. Let w(y) = y - 3. Determine t*u(l) + 11*w(l). -l - 1 Let q(b) = b - 4. Let f = -21 - -27. Suppose -d + 2 = 1. Let a be 0 - -26 - (1 - d). Let l(j) = -4*j + 17. Give a*q(y) + f*l(y). 2*y - 2 Let p(j) = -2*j - 8. Let t(k) = -k - 8. Calculate -2*p(r) + 3*t(r). r - 8 Let w(y) be the first derivative of y**2/2 - 2*y + 1. Let v(o) = 1. Let q(h) = 8. Let i(t) = q(t) - 5*v(t). Determine 2*i(x) + 3*w(x). 3*x Let u(m) = m - 1. Let f(c) = 7*c - 8. Determine -f(j) + 4*u(j). -3*j + 4 Let q(r) be the third derivative of r**4/8 - r**3 + 19*r**2. Let a(h) = -6*h + 13. What is 4*a(o) + 9*q(o)? 3*o - 2 Let m(o) = -4*o**2 + 4*o - 2. Let k(i) = 7*i**2 - 7*i + 5. Let y(s) = -3*k(s) - 5*m(s). Let f(x) = -3*x**2 + 2*x - 11. Determine 3*f(g) - 7*y(g). -2*g**2 - g + 2 Let m(l) = -2*l**3 + 5*l**2 + 9*l - 12. Let q(g) = 3*g**3 - 4*g**2 - 8*g + 10. Give -5*m(z) - 6*q(z). -8*z**3 - z**2 + 3*z Let v(k) = -9*k + 4. Let h be (-32)/(-6)*(-6)/(-4). Let l(s) = -14*s + 6. Let y(f) = -4*f - 1. Let o be y(1). Determine h*v(x) + o*l(x). -2*x + 2 Let t(q) = 2*q**3 + q**2 - 3*q - 1. Let z(n) = 4*n**2. Let a be z(1). Let m(j) = -3*j**3 - j**2 + 4*j + 1. Determine a*t(f) + 3*m(f). -f**3 + f**2 - 1 Let a(k) = 48*k + 5. Let q(h) = 336*h + 36. Give 36*a(f) - 5*q(f). 48*f Let p(k) = 3*k**3 + 2*k**2 + k. Let s be 15/(-10) + (-7)/(-2). Let w(x) = 7*x**3 + 5*x**2 + 2*x - 1. Give s*w(m) - 5*p(m). -m**3 - m - 2 Let p(c) = 5 + 50*c - 49*c - 3*c**2 + 1. Let r(m) = -5*m**2 + 2*m + 11. Give 7*p(l) - 4*r(l). -l**2 - l - 2 Let x(u) = u**3 + 5*u**2 + 3. Let o be x(-5). Let t(d) = 0 - d**3 + 0 - d**o. Let p(v) = -2*v**3. Suppose 4*l = 2*q + 4, 5*l - 14 + 3 = q. Give l*p(f) - 4*t(f). 2*f**3 Let r(o) = 1. Let q(n) = n + 2. Determine -q(c) + 4*r(c). -c + 2 Suppose 3*x + 0 = -15. Let n(g) = -4*g**2 + g + 5. Let v(a) = -a**2 + 1. Determine x*v(y) + n(y). y**2 + y Let x(q) = 2*q**3 - 7*q - 9. Suppose -3*r = -r - 4. Suppose 3*t + 5*b - 3*b + 7 = 0, 3*b + 15 = 0. Let d(k) = -t + 4 + 1 + 3*k - k**3. What is r*x(j) + 5*d(j)? -j**3 + j + 2 Let b(h) = -4*h + 2 - 2*h**2 - 1 - h. Suppose -32 = 5*i + 4*j, -2*j - 5 = 5*i - 7*j. Let z(k) = 2*k + 11*k - 2 - 7*k + 0 + 3*k**2. What is i*b(t) - 3*z(t)? -t**2 + 2*t + 2 Let y be -1 + 8 + (-2)/2. Let h(d) = 2*d + 1. Let r be h(2). Let v(z) = 5 - 2 + 8*z + 5*z**2 + 1 - r. Let n(k) = -9*k**2 - 15*k + 2. Determine y*n(o) + 11*v(o). o**2 - 2*o + 1 Let k(j) = j + 1. Let b(i) = 2*i + 2. Give -4*b(y) + 9*k(y). y + 1 Let t(h) = -3*h + 27. Let m(d) = -20*d + 176. What is 5*m(y) - 32*t(y)? -4*y + 16 Let t(y) = 8*y + 1. Let r(v) = 16*v + 2. Calculate -6*r(a) + 13*t(a). 8*a + 1 Let b(o) = o. Let v(a) = a**2 + 3*a. Let k be v(-2). Let x(p) be the first derivative of -5*p**2 + 5. What is k*x(l) - 22*b(l)? -2*l Let o(f) = 55*f - 11. Let d(u) = 14*u - 3. Give 11*d(i) - 3*o(i). -11*i Let c(y) = 2*y - 9. Let t(m) = -3*m + 13. What is -8*c(r) - 5*t(r)? -r + 7 Let p(k) = -2*k + 4. Suppose -5*j + q = 3*q - 18, -5*q + 24 = 2*j. Suppose 0 = -4*f + j*f - 8. Let x(d) = -3*d + 5. Give f*p(v) + 3*x(v). -v - 1 Let g(l) = -l + 3. Let s(h) = -h + 1. What is -g(v) + 2*s(v)? -v - 1 Let t(b) = -b**2 + 2*b + 2. Suppose -4*a + 205 = 2*o + 1, -3*a - 5*o + 153 = 0. Let j(w) = -9*w**2 + 17*w + 17. Give a*t(c) - 6*j(c). 3*c**2 Let f(u) = -8*u**3 - 5*u**2 - 9*u - 3. Let n(v) = v**3 + v**2 + v. What is f(r) + 5*n(r)? -3*r**3 - 4*r - 3 Let l(v) = -v**3 - 9*v**2 - 4*v. Let j(x) = -3*x**3 - 17*x**2 - 7*x. Calculate 4*j(r) - 7*l(r). -5*r**3 - 5*r**2 Suppose 2*q + 1 = 9. Let x(y) = 14*y - 23*y + 3 + 5*y. Let o(a) = 3*a - 2. Calculate q*x(t) + 5*o(t). -t + 2 Let h(c) = 5*c**2 + 32*c + 14. Let x(q) = -2*q**2 - 11*q - 5. Let p(j) = 2*h(j) + 7*x(j). Let i(o) = -o**2 - 4*o - 2. What is 7*i(f) - 2*p(f)? f**2 - 2*f Let g(r) = 3*r**2 - 6*r + 3. Let d(u) = 10*u**2 - 17*u + 10. What is 2*d(x) - 7*g(x)? -x**2 + 8*x - 1 Let z(r) = 3*r**2 - 3*r. Let m be z(2). Let v(d) = 7*d**2 + 7*d. Let l(j) be the second derivative of 2*j**4/3 + 4*j**3/3 - 2*j. What is m*l(c) - 7*v(c)? -c**2 - c Let o(j) be the first derivative of -2*j**2 - 2*j - 23. Let x(z) = -1 - 3*z - 2*z - 2. What is -4*o(r) + 3*x(r)? r - 1 Let a(t) = -24*t**3 - 23*t**3 + 46*t**3. Let g be (0 - 1)/(3/15). Let r(q) = -3*q**3 - q**2 - 2. Give g*a(w) + r(w). 2*w**3 - w**2 - 2 Let b be (-2 - 96/42) + (-4)/(-14). Let r(a) = -13*a**3 + 4*a**2 - 3*a - 9. Let t(p) = -6*p**3 + 2*p**2 - p - 4. What is b*r(u) + 9*t(u)? -2*u**3 + 2*u**2 + 3*u Let a(u) = u - 1. Let b(s) = -s + 1. Let f(h) = -5*a(h) - 6*b(h). Let c(k) = -8*k + 10. Give 2*c(w) + 18*f(w). 2*w + 2 Suppose 3*g = -0 - 6. Let h(d) = -d**2 - d. Let m(w) = w**3 - 2*w + 1. Give g*h(s) + m(s). s**3 + 2*s**2 + 1 Let n(o) = -o + 7. Let x(j) = -5*j + 35. What is -22*n(i) + 4*x(i)? 2*i - 14 Suppose 9 = 12*y - 3. Let m(g) = -1. Let w(a) = 5*a**2 - 5. Determine y*w(s) - 5*m(s). 5*s**2 Let h(s) = -2. Let k(f) = f**2 + f - 7. Determine -6*h(a) + 2*k(a). 2*a**2 + 2*a - 2 Let p(f) = 4*f**2 + 6*f - 7. Let t(x) = x**2 - x + 1. Give p(a) + 6*t(a). 10*a**2 - 1 Let p(z) = -z - 1. Let s(i) = -23*i - 15. Let d(n) = -6*n - 4. Let l(x) = -22*d(x) + 6*s(x). Give l(h) - 4*p(h). -2*h + 2 Let s(w) = 1 - w - 37*w**2 - 45*w**2 + 81*w**2. Let j(u) = 2*u**3 + 7*u**2 + 9*u - 6. Give j(r) + 6*s(r). 2*r**3 + r**2 + 3*r Let z(b) = -6*b**2 + 3*b. Let y(j) be the second derivative of 13*j**4/12 - 7*j**3/6 + 21*j. What is 3*y(n) + 7*z(n)? -3*n**2 Let z(d) = -d**2 - d - 4. Let f(x) = x + 3. Determine -3*f(u) - 2*z(u). 2*u**2 - u - 1 Let w(j) = -8*j**2 + 2*j + 1. Let i(r) = -7*r**2 + r + 1. Calculate 6*i(p) - 5*w(p). -2*p**2 - 4*p + 1 Let r(j) = 4*j - 10. Let k(l) = l - 1. Calculate -5*k(s) + r(s). -s - 5 Let a(x) = 21*x**2 + 26*x + 11. Let l(w) be the third derivative of w**5/15 + 5*w**4/24 + w**3/3 - 11*w**2. Give -2*a(k) + 11*l(k). 2*k**2 + 3*k Suppose 6 + 0 = f. Let q(g) = g. Let k = 9 + -10. Let j(l) = 5*l. Give f*q(y) + k*j(y). y Let v(g) = -60*g + 8. Let z(p) = -40*p + 5. Calculate 5*v(c) - 8*z(c). 20*c Let y = -11 - -15. Let j = y + -7. Let f(u) = -5*u + 3. Let n(p) = 4*p - 3 - 2 + 3. What is j*n(
{ "pile_set_name": "DM Mathematics" }
-4*c - s + 3 = 3*h for h. 1 Let u(y) = y**3 - 6*y**2 + 6*y. Let c be u(5). Suppose 5*f + 4*g - 28 = 0, -5*f - c*g = -2*f - 22. Solve -4*i + 11 = 2*b - 5*i, -b - i + f = 0 for b. 5 Let s = -66 - -30. Let f = s - -61. Suppose -3*w + 15 = 4*q - 2*q, -2*q - f = -5*w. Solve 2*i + 15 = -5*j, -3*j + 4*i + 17 = -q*i for j. -1 Suppose b + 2*b - 3 = -3*d, 9 = 5*d + 3*b. Solve -3 = -3*u + d*q, 2*q + 15 = -q for u. -4 Let l(a) be the first derivative of -17*a**2/2 + a - 5. Let w be l(-1). Solve -4*g + 0*i - 37 = 5*i, w = -g - 3*i for g. -3 Let b be 1*-18*(-2 - 10/(-6)). Solve z = 3*y + 10, -3*y - z = 2 + b for y. -3 Let w(a) = -a**3 - 5*a**2 + 11*a - 17. Let o be w(-7). Solve 0 = -2*i + 4*r - 8, i - 2*r + o*r = 12 for i. 4 Let p(x) = -2*x - 1. Let m be p(5). Let y = 14 + m. Let j(c) = -c**2 - 7*c + 10. Let l be j(-7). Solve y*b - 5*v - 6 = l, 2*b - 8 = 2*v for b. 2 Suppose -r + 0 = -2. Let z(d) = d**3 - 2*d**2 - 2*d + 3. Let c be z(r). Let y be 0 + c + (5 - 2). Solve -y*g = -5*u - 16, 9*g + 3*u + 22 = 4*g for g. -2 Let b(f) = -f**3 + f - 2*f - 1 - 2*f + 2*f**2 + 5*f. Let p be b(2). Solve -25 = 5*k - 3*d, 2 + p = -k - 2*d for k. -5 Suppose a - 21 + 6 = 0. Solve 0 = 3*s + 5*r + 6 + a, -3*r - 9 = 0 for s. -2 Suppose -6*p - 2 = -8. Let t(z) = 3*z**2 - 1. Let y be t(p). Solve 14 = 3*w - 4*w - 4*x, -5*w - y*x = -2 for w. 2 Let h = 27 + -16. Suppose -h = -2*d + r, -d - 5*r - 3 - 19 = 0. Solve d*t - x = -4*x, -3*x + 5 = 2*t for t. -5 Suppose 4*a - 16 = k - 2*k, -2*k + 4*a - 4 = 0. Solve z = -3, 3*n + k*z + 5 = 2 for n. 3 Let m(w) be the third derivative of -w**4/24 + 2*w**2. Let o be m(0). Solve o*b + 4*b = -3*s - 3, -2*b = -4*s - 26 for b. 3 Let f(z) = -z + 4. Let i be (-2)/(-5) + (-24)/(-15). Suppose 0 = 5*p + i + 13. Let o be f(p). Solve -5*a - h - 1 = 0, -o*h + 2*h = -3*a - 23 for a. -1 Let j = -4 + 6. Solve -j*r - 10 = -6*r + 5*l, 4*l = -3*r + 23 for r. 5 Let t = 11 - 6. Suppose -5*i + t = -20. Solve 3*c = -2*l + 4*l - 7, -4*c + 6 = i*l for c. -1 Let r = 23 - 20. Solve -2*f = -5*b + 19 - 4, -2*b = r*f + 13 for f. -5 Let h(c) = c - 5. Let r be h(9). Let x = 0 - -2. Suppose -2*f - 9 + 41 = -2*p, x*f + 5*p - 4 = 0. Solve -f = -2*g + r*v, 0 = -5*g + 2*v - v + 21 for g. 4 Suppose 4*w + w - 15 = 0. Solve c + 0*i + i - w = 0, 0 = -c - 2*i + 7 for c. -1 Suppose -w - 3*b + 18 = 0, 2*w - 6*w + 44 = 5*b. Suppose -j + 4*j = -w. Let k be j/7 + (-60)/(-14). Solve 0 = -a - k*q - 2 - 5, 0 = 5*q + 15 for a. 5 Let j = 37 + -18. Let m = j + -9. Solve 4*p + 4*q = 24, 0 = -5*q + 3*q + m for p. 1 Suppose 4*w = 28 + 16. Suppose -3*l + 1 + 0 = -k, 16 = -2*k - l. Let o = k + w. Solve -o*s - 4*u - 6 = -s, 2*u - 10 = 5*s for s. -2 Let z = -15 + 19. Let h be 2 + 0*(0 + 1). Let d = h - 0. Solve 0 = -z*q + o - 21, d = -3*q - 2*o - 0 for q. -4 Let r = -14 + 18. Suppose 0*p + 4*h + 11 = 3*p, 1 = p - r*h. Solve -5*x = -2*v - 13, -4*v - p*x + 1 = 12 for v. -4 Let l(p) = p**3 - 7*p**2 - 7*p - 6. Let c be 1 + 6 - (2 + -3). Let v be l(c). Suppose -10 + 4 = -3*b. Solve -3 = j, v*m = 3*j + 1 + b for m. -3 Suppose 7*a - 22 = 4*a + m, 5*a = 5*m + 40. Let c(f) = 2*f + 2*f**2 + f**3 + 2*f - a*f**2 + 2. Let h be c(4). Solve -h*g - 5 = -5*p, -3*g = 2*p - g - 2 for p. 1 Suppose -5 - 1 = -2*h. Suppose -q - h*z = -5, -3*q - 4*z = -8*q + 6. Solve q*p + 2*o = 2, o + 14 = -3*p + 7*p for p. 3 Let s = 5 + -3. Let y be (s*-2)/(-1 + -1). Suppose -5*c + 4*q = -19 - 11, 4*q = -4*c - 12. Solve 4*m = m, 0 = c*i - y*m for i. 0 Let q be 2 + -2 + 4 + 0. Suppose -5*b = -3*r + 121, 2*r - 3*r - 4*b = -12. Let d = r - q. Solve -4*y + d + 0 = -4*i, 5*y = 3*i + 31 for y. 5 Let g = 27 + -18. Solve -6*w = -w - 2*a + g, -2*a = 2*w + 12 for w. -3 Suppose -53 = -2*p - 3*k, 3*p - 5*k - 48 = 3. Suppose -p = 4*x - 2*x. Let j be 1/(-2) + x/(-2). Solve -s = -3*u - 11, -6*u + u = -j*s + 35 for s. 5 Suppose 0 = 2*j - 4*k + 18, 5*j = 6*j + 4*k - 21. Solve -3*f = -4*x + 1, 0*f = 2*x - f + j for x. -2 Let z = 24 + -13. Let a = z - 11. Solve 4*k - 5*s - 3 = a, 4*k + 2*s = 6*s + 4 for k. 2 Let c be (-3 - 1)*1*-1. Suppose -c = -2*g + 2. Let q be (-8)/10 + (-60)/(-75). Solve q*k - 13 = -g*k - 4*l, 4*k + 4*l - 12 = 0 for k. -1 Suppose r - 5*a + 13 = -4, 0 = 2*r - 5*a + 14. Solve 0 = -5*u + 2*c + r*c - 50, 3*c - 15 = 0 for u. -5 Let h(m) = -3*m**2 - 9*m + 3. Let n(z) = 7*z**2 + 18*z - 6. Let g(r) = -9*h(r) - 4*n(r). Let i be g(8). Solve 4*l + 5*y = -5, i*l + 0*y + 3*y = -16 for l. -5 Suppose 2*l - 5*b + 10 = 0, -b - 7 = -3*l + b. Let y = l - -6. Let h = 6 + y. Solve 0*o - o = 3*x - h, 2*o - 14 = -2*x for x. 5 Let h = -63 + 65. Solve 0 = -3*p - 3*r, 5*p + h*r - 6*r = -36 for p. -4 Let o(h) = -40*h**3 + h**2 + 2*h + 2. Let i be o(-1). Solve 5*y + i - 16 = -3*m, 0 = -4*y - 4*m - 28 for y. -2 Let r = 20 + 0. Suppose 4*v = 4*q + r, -2 = v - 2*q - 9. Suppose -d - 3*m = -10, -3*m + 2 + 4 = 0. Solve i - p = 5, -d*i + 2 - 10 = v*p for i. 1 Let j be (2/2 + -1)*1. Suppose 4*v + 20 = 0, j = -t - 0*v + 3*v + 17. Solve -2*l - 12 = -2*u, l = u - t*u for l. -3 Let k(d) = -d**2 + 2*d + 3. Suppose -2 = -5*v + 13. Let w be k(v). Solve w = -5*x + 3*s - s + 18, 2*x - 3 = 5*s for x. 4 Suppose 0 = -y - 0*y. Suppose -9*r + 6*r + 12 = y. Solve -4*a + 29 = 5*m, 0*a = -5*a + r*m - 15 for a. 1 Let k(w) = -w + 2. Let z be k(-5). Suppose -2 = -f + 2. Suppose 0 = f*r - 3*v + 4, -4*r + 2 = -7*r + 2*v. Solve -27 = 3*x + 4*s, -20 = x + z*s - r*s for x. -5 Let h = -2 - -3. Let g = h + -1. Suppose -2*x + 10 = -g*x. Solve -x*c + c = 3*b + 7, 4 = -c for b. 3 Let u(m) = -52*m + 1. Let q be u(2). Let k = q - -159. Let n be (k/(-6))/((-2)/3). Solve -5*y + n = 3*b, 2*b + 1 + 3 = 0 for y. 4 Suppose -2*u + v = -0*v - 27, -5*u = -4*v - 60. Suppose s = -5*i + 3 + 1, -2*i - 20 = -5*s. Let b = 0 + i. Solve -2*f = -3*w + 3 + 8, b = -5*f - 4*w - u for f. -4 Suppose -5*p + 6*p + 4 = 0. Let o = p - -5. Suppose -o - 1 = -x. Solve -3*b - 11 = -x*b + 3*l, b + 5*l = -15 for b. -5 Let i be ((-4)/5)/(1/25). Let g = 24 + i. Solve -4*r = 3*l + 8, -g*r + 17 = r - 3*l for r. 1 Suppose -4*b + 0 - 36 = -2*a, 0 = 4*a + b - 54. Solve z = 2*i + a, 3*i + 9 + 14 = 2*z for z. 4 Let i = 14 + -5. Let s = i + -4. Let f(j) = j**2 - 6*j + 7. Let m be f(s). Solve b - 5 = 0, m*r - 7 = -5*b + 16 for r. -1 Suppose 4*v - x - 10 = 0, -2*x = -6*x - 8. Let u = 5 - v. Solve -2 = 3*k + k - u*l, 2*k = 3*l + 2 for k. -2 Suppose 5*w + 3 = -3*p + 28, p = w - 5. Solve -5 = -w*q - 2*t, 5*t - 3 = q - 4*q for q. 1 Let k be 0 + (3 - (2 + 7)). Let f be k*(-4)/(16/14). Solve 3*i = -5*c + 7*i + f, -5*i = -5 for c. 5 Suppose 3*w - 8*w = 125. Let k be (-189)/(-15) - 10/w. Let z be -2*(-2)/2 - -35. Solve z - k = j - 5*r, r = -j for j. 4 Let u = -4 - -8. Suppose 0 = 5*c - u*m - 5 - 11, 4*m = -16. Suppose 0 = -j + 2 - c, 2*j - 4 = -2*p. Solve p = 3*a - 4*d + 3, 2*a = -3*a + d - 22 for a. -5 Let l(x) = x**2 - 7*x - 4. Let o be l(6). Let d = -8 - o. Suppose d*s = s. Solve r - 3 = -y, s*r - 2*y + 3 = -r for r. 1 Suppose -7*b + 25 = -2*b. Solve v - 4*w = 5*v + 12, -5*w = 3*v + b for v. -5 Suppose -3*r = -0*r - 9. Let i be 4/(-14) + 16/56. Suppose r*w - w = i. Solve 5*n - u - 17 = w, -1 = n - u - 2 for n. 4 Suppose 4*t - 52 = -9*t. Solve i + 2*i = -4*p + 5, t*p - 9 = i for p. 2 Suppose 3*w - 32 = -w. Solve -x - 1 - w = -3*o, -2*o - 5*x = 11 for o. 2 Suppose 4*y = y + 3. Solve -g + 14 = -3*v, -y = -2*g - 2*v - 5 for g. 2 Let p be 4/(-6) - 44/(-3). Suppose -16 = -4*g, -3*l + 13 = 3*g - 8. Suppose p = l*q + 5. Solve -2*x + 1 = -2*i - 1, 11 = q*x - 5*i for x. -3 Suppose -70 = -y - 0*y. Suppose 4*q + 0*h - 56 = 4*h, 2*h - y = -5*q. Let n(s) = -s + 1. Let o be n(-5). Solve -o*b + 25 = -b, -2*t = -2*b + q for t. -2 Suppose -85 = -5*z + 4*v, 0*v - 2*v - 49 = -3*z. Solve -2*i - 3*g + z = 0, 5*g - 30 = i - 6*i for i. 5 Suppose -8 = -2*z - d - 18, -3*z + d = 15. Let j = z - -1. Let f be (-18)/(-12)*j/(-3). Solve 4*v + 22 = -5*i, -v + 5 = -4*v + f*i for v. -3 Let d be 6/8*(-36)/3. Let z(n) = -n**3 - 8*n**2 + 10*n + 9. Let m be z(d). Suppose m = -i + 5*i. Solve 2 = -2*b - 3*v, i*v - 1 = b + 2*v for b. -1 Let h = 24 - 21. Let c = 5 - 2. Suppose -y + z + z + 13 = 0, 5*y - c*z = 37. Solve -h*p + 5*p - 3*r - y = 0, -3*p + r = 3 for p. -2 Suppose 2*y + 7 = -0*y - 5*b, 18 = 3*y - 2*b. Suppose s + s = -0*s. Solve 3*a - 3*q + s*q + 9 = 0, -3*a - y*q + 26 = 0 for a.
{ "pile_set_name": "DM Mathematics" }
= 0 - -0.1. Which is the nearest to v? (a) i (b) 1/5 (c) -2 a Suppose -4*h + 12 = -2*d - 0*d, 0 = 5*h + 3*d - 4. Let x be (-3)/9*(-3)/h. Let a be (-4)/18 - 80/45. What is the nearest to x in -0.5, a, -3? -0.5 Let v = 1.9 - 10.4. Let s = v - -8. What is the nearest to 1 in 0, -2/5, s? 0 Let f be (-5)/(-42) + 8/(-28). Let u = 42 + -43.7. Let k = 2 + u. What is the nearest to -0.1 in -2, k, f? f Let t = -1 - -6. Let q = 227 + -230. Let g = -60/161 - -2/23. Which is the nearest to g? (a) q (b) t (c) 0.1 c Let n be (-1 + 1)/(3 + -1). Let w = -2 + 3. Let i = 1 - w. Which is the nearest to n? (a) i (b) 0.3 (c) 4 a Let n = 0.1 - 0.2. Let f = 2.1 - 2. Let w = -2 - -1. What is the nearest to w in f, n, -3? n Let m be (-1*(-1)/2)/(6/4). Let k(z) = -2*z + 1. Let r be k(-1). Suppose 4 = p + p, -5 = r*b + 5*p. What is the nearest to m in b, -1/2, 3? -1/2 Let x = 0.9 - -0.1. Let w = -0.28 + 0.69. Let v = w + 0.09. Which is the nearest to 0.1? (a) -0.4 (b) x (c) v c Let m be (-4)/(-10)*(-5)/(-10). What is the closest to -0.1 in -2, -1/3, m? -1/3 Let s = -38 + 27. Let t = s + 8. Let n = -1.2 + 0.2. Which is the closest to 0.1? (a) t (b) 3/4 (c) n b Let s be 3/9*3*(-2)/(-8). Which is the closest to s? (a) 0.4 (b) -0.05 (c) -4 a Let z = -16 - -18. Let s = 1.7 - z. Which is the closest to -1/3? (a) 1 (b) -2/7 (c) s c Let p = 75 - 75.3. Which is the closest to -5? (a) 4/5 (b) 2/9 (c) p c Let o = 37 + -147/4. Let v = 3/91 + 167/455. What is the nearest to v in 0.3, 2/9, o? 0.3 Let k = 17.6 - 20. Let g = -0.6 + k. Which is the closest to -2/3? (a) -2 (b) 2 (c) g a Let x(v) = v**2 - 4. Let g be x(4). What is the closest to 0.1 in 0, g, 2/9? 0 Let l = 1.007 - 0.007. Which is the closest to l? (a) 4 (b) -3 (c) -0.5 c Suppose 5 = t - 5*q - 1, 5*t + q - 4 = 0. Which is the closest to t? (a) -3 (b) 3 (c) 0 c Let g = -31 - -61/2. What is the nearest to -2/5 in g, 2, -5? g Let i = 16 + -110/7. Let z = -3.6 - 0.4. Let q = z + 4. Which is the nearest to q? (a) 1 (b) 4/3 (c) i c Suppose -2*v - 3*l = -2*l - 11, -5*v + l = -17. Which is the closest to 1? (a) 2/17 (b) -5 (c) v a Let u = -803/5 - -160. Suppose -1 = i, 5*i = -3*w - 0*i - 2. Which is the nearest to 1? (a) -5 (b) w (c) u b Let x = 0.33 - 0.28. Which is the nearest to 0? (a) 0.3 (b) -2 (c) x c Let t be 21/14*(-1 + -5). Let o = 5 + t. Let v = -29 - -57/2. Which is the nearest to v? (a) -1/2 (b) o (c) 2/13 a Let z = 8.2 + -8. Suppose -3*k + 3*i - 3 = -0, -5*k - 12 = 2*i. What is the nearest to 0.1 in k, 5, z? z Let f = 2.2 + -2. Let j = -0.06 + 3.06. Let b = 1 + j. What is the nearest to -2 in b, -0.4, f? -0.4 Let s be 2 + (90/4)/(-9). What is the closest to s in -3, 5, 1/2? 1/2 Let d = 1.3 + -1.2. What is the nearest to -0.2 in -1, d, 0.5? d Let y = -0.2 + 0.3. Let t = -3/53 - 97/159. Which is the nearest to -2/3? (a) y (b) t (c) 0.3 b Let p be 5/(-20) + 61/4. Suppose -y + 4*y = p. Suppose -2*h - 4*h + 6 = 0. What is the nearest to 2/5 in 5/4, h, y? h Let b = -0.18 - -3.18. What is the closest to -0.1 in b, 2, -0.06? -0.06 Let i = 28 + -29. Which is the closest to i? (a) 0.5 (b) 3/4 (c) 3/2 a Let b = -5 + 9. Let p = b + -3.6. Let c = 0.8 - -0.2. What is the nearest to -1/3 in 5, p, c? p Let j = -4 - -6. Let f = -3 + 3.3. What is the closest to 0 in 0.4, f, j? f Let t = 6.3 + -6. Which is the nearest to -0.2? (a) 0.2 (b) 4 (c) t a Let m = 3.3 - 0.3. Let v = 0.4 - 0.1. What is the closest to 2 in m, v, -2/3? m Let y = -6.94 - 0.06. Let o = y - -8. What is the closest to -0.1 in 0.2, -5, o? 0.2 Let x = -38 - -35. What is the nearest to -1 in 0.05, 0.4, x? 0.05 Let k = -122.8 + 123. Which is the nearest to -0.1? (a) k (b) -5 (c) 3/7 a Let t = -59/2 - -30. What is the nearest to -2 in t, 3/4, -0.2? -0.2 Let r = -5 + 1. Let h = -48.1 - -48. Let w be 2/1 + 38/(-16). What is the nearest to r in w, 4/3, h? w Let s = 46 + -53. What is the nearest to 2/5 in -1, -3, s? -1 Let q = 63/10 - 461/70. Which is the nearest to q? (a) 15 (b) 0.1 (c) -1/8 c Let z = -4 + 5. Let q = z - -1. Let w be (-6)/9 + (3 - 2). What is the closest to 0 in q, w, 2/3? w Let t be 1*(-6 + -1 + 4). Which is the nearest to 1? (a) t (b) 2/9 (c) -4/7 b Let d = -8 + 8. Let a be (4/(-6) + 1)/1. Let w = -39 + 271/7. What is the nearest to a in 1, w, d? d Let x(r) = r**2 + 15*r - 29. Let l be x(-17). Let m = -26 + 103/4. Which is the closest to m? (a) -0.1 (b) -2 (c) l a Let u = 0.3 + -0.1. Let t = 2 + -3. Let y = 1 + -2. Which is the closest to t? (a) -5/6 (b) u (c) y c Let b be (-32)/(-120)*(-10)/(-4). What is the nearest to 0.1 in -2/9, b, 0? 0 Let d = 14 - 13.8. What is the closest to -2 in -0.2, -1, d? -1 Suppose -2*r = -3*t - 96, 2*t = r + t - 50. Let g be (-4)/(-18) + (-93)/r. What is the closest to 1/3 in 2, 1, g? 1 Suppose 2*r + 0*s + 8 = -4*s, -5*s - 16 = 4*r. Let q = -296 + 1771/6. Which is the nearest to 0? (a) -5/2 (b) q (c) r b Let j be 108/(-84) + (-3)/(-3). Which is the closest to 5? (a) j (b) 9 (c) -0.5 b Let x(n) = n**2 + 18*n - 20. Let z be x(-19). What is the closest to 13 in 4/5, z, 0? 4/5 Let y = -6.4 + 6.7. Suppose 3*u + 31 = -4*d - 9, 4*u = -5*d - 52. Let r be (-75)/(-220) - (-2)/u. What is the closest to -2/9 in r, -4, y? r Let h be 5 + -9 + 23/5. What is the closest to 0.1 in h, 1/2, -1? 1/2 Let f = 0.2 - 4.2. Let o = -0.7 + -0.3. What is the closest to 2/3 in f, o, 2? 2 Suppose 2*f = 3*f + 2. Let u be 10/(-6) + (-4)/f. Let d be -2 - (2/4)/((-3)/30). Which is the closest to u? (a) -2 (b) d (c) -0.5 c Let k = 44 + -45. Which is the nearest to -0.1? (a) -4 (b) k (c) 4 b Let n = -0.3 - -1.9. Let j = n - 1.3. Which is the closest to -1? (a) -4 (b) j (c) -0.3 c Suppose 3*u - 3*w + 3 = 0, -u + 7 = 3*w - 4. Let n = -0.2 + 0.1. What is the closest to -0.1 in n, u, -0.4? n Let q = -15 - -9. Let b = q + 2. What is the nearest to 2 in b, 3/7, 1/4? 3/7 Let h = -29 - -33. Which is the closest to -1/6? (a) 3 (b) h (c) 0 c Let w = 4 - 0. Suppose -2 - 2 = w*z. Which is the nearest to 0.1? (a) 0 (b) z (c) 1/4 a Suppose 4*v + 16 = 0, 4*v - 40 = -3*u + 4*u. Let f be (-21)/49 - 38/u. Which is the nearest to f? (a) -2/7 (b) -0.5 (c) -0.4 a Let i = 6 - 10. Which is the nearest to 1/2? (a) 2 (b) i (c) -2/17 c Let p = 112.98 - 112. Let k = 0.02 + p. Let n be 1 - 2 - 11/(-9). Which is the nearest to k? (a) 1/2 (b) n (c) 0.4 a Let z = 0.3 - 0.6. Let i be 25*(0 + (3 - 2)). Let s be 4/i*10/4. What is the nearest to s in z, -0.4, 0? 0 Let x = -3.3 + 3. Let m = 0.3 + 2.7. Which is the nearest to -1/3? (a) 2/17 (b) x (c) m b Let f(o) = o**3 + o**2 - o + 38. Let n be f(0). Let r be 24/6 - 148/n. What is the nearest to 1 in 0, r, 0.1? r Let s = -5 - -7. Let d = -0.104 + -10.696. Let g = -11 - d. What is the nearest to 1/2 in -5, s, g? g Let i(t) = 2*t - 4. Let v be i(3). Suppose o - v = -7. Let k be 6/(-22)*(-1)/(-3). What is the closest to 1 in o, -0.5, k? k Let l = -38.2 + 38. Let t be 10/66 - (-1)/(-3). Let d = 1/85 + -89/340. What is the nearest to d in t, 0.3, l? l Let i = 6 - 6.1. Let k = 16 - 16. Which is the nearest to i? (a) 0.2 (b) -0.3 (c) k c Let n = -38 - -34.07. Let j = 0.07 - n. Which is the closest to 0? (a) -3/2 (b) -2 (c) j a Let o = -0.7 - -0.2. Let v = 2 - 1. Suppose 0 = 3*w - 18*w - 15. What is the closest to w in -1/3, o, v? o Let p = 7 + -2. Let l = 2 + -2. Suppose 2*h + 5*z - 29 = -1, l = 2*z - 8. What is the closest to 1 in h, p, -0.5? -0.5 Suppose 2*v + 0*v = 170. Let x = v + -429/5. Which is the closest to 0? (a) x (b) 2 (c) -5 a Let a = -1 - -0.9. Let m be (-1)/(-6)*4 + -1. Let x = -0.4 + 0.6. What is the nearest to a in x, 0.1, m? 0.1 Let z = -144.13 - -144. What is the nearest to z in 5, 5/4, -4? 5/4 Let y(n) = 3*n**2 - 4*n + 2. Let l be y(2). Let h be (5/60)/(l/(-16)). Let p = -2 - -1.5. Which is the closest to 2/5? (a) 2 (b) p (c) h c Let h be -2*3/(42/5). Let i = 3/14 + h. Let y = 5.9 - 0.9. Which is the closest to 1? (a) i (b) y (c) 1/7 c Let h = -3 + 10. Let d = -12 + h. What is the closest to 1/4 in -3/7, 4, d? -3/7 Let l = -11.982 + -0.018. What is the closest to -0.1 in l, -0.2, -0.4? -0.2 Let y = 2.05 - 0.05. Let t = -0.13 + -5.87. Let l = -6.3 - t. Which is the closest to -1? (a) y (b) l (c) 0.1 b Suppose 4
{ "pile_set_name": "DM Mathematics" }
8. Let u(v) = v**3 + 16*v**2 - 3*v + 13. Let b be u(i). Let p = b + -163. Is 8 a factor of p? True Let j = 411 - 335. Suppose -694 - j = -55*z. Does 13 divide z? False Suppose -5*o = -1022 - 14698. Is o a multiple of 60? False Does 30 divide (-157)/((-101444)/4830 + 21)? False Suppose 0 = w - 146 - 1498. Suppose 4*p - 633 + w = 5*j, 3*j - 605 = 4*p. Is 12 a factor of j? False Let z(c) = -9*c - 9*c + 21*c + 15. Let s be z(-5). Suppose n - 3*w + w - 133 = 0, -5*n + w + 665 = s. Does 23 divide n? False Let z be ((-4)/(-6))/(2 - 66/36). Suppose -2*j + 84 = z*j. Suppose -648 = -j*o + 5*o. Is 9 a factor of o? True Let j(u) = -90*u + 13. Let n(a) = 90*a - 12. Let v(i) = -5*j(i) - 4*n(i). Is v(3) a multiple of 21? False Suppose -v - 4*m + 21 = 0, -3*m - 5 = -4*v + 3. Suppose -68 = -v*o + 17. Let p = 23 + o. Is 8 a factor of p? True Let b be ((-2)/(-5))/((-1)/(-5)). Is 29 a factor of (-4)/(-1) + 146 + 27 + b? False Let l(k) = 2*k**3 - 23*k**2 + 12*k - 9. Let a be l(11). Let i be (-8)/10 + (-8760)/(-75). Suppose -h - i = -a*h. Does 23 divide h? False Suppose 5*v = 3*v - a + 26, -3*v - 2*a = -38. Let n = v + -12. Suppose -m - 5*b + 81 = 0, 4*b - 5 = n*m - 111. Is 24 a factor of m? False Suppose -5*f - 10 = -4*a, -6 = 2*f + 4*a - 6*a. Suppose 0 = -f*k - 3*r + 271, -8*r = -5*k - 5*r + 688. Let g = -77 + k. Is 12 a factor of g? True Let n(i) = -i**3 - i**2 + 4*i - 6. Let u be n(-3). Suppose -41*x + 44*x - 96 = u. Does 32 divide x? True Let g(v) = -7*v**2 + 5*v + 3. Let b be g(3). Let l = b - -171. Does 7 divide l? True Let r be (309/(-2))/((-4)/8 - -1). Let a = 678 + r. Let c = a - 216. Does 14 divide c? False Does 2 divide 1331*(-9 + (-444)/(-42) + (-8)/14)? False Does 10 divide (-3 - (-112)/(-6))/(13 + 5628/(-432))? True Suppose 5*a = p - 20005, -70*p - 2*a = -74*p + 79948. Does 7 divide p? True Let i(h) = -13*h**2 + h**3 + 18*h + 4*h - 3*h + 5 + 0*h. Let o be i(9). Let r = -38 - o. Is r a multiple of 22? True Let b(u) = -2*u**3 - u**2 - 47*u + 16. Does 4 divide b(-8)? True Let h = 279 - 273. Does 22 divide 235 - ((-9)/h + 4/8)? False Let m(w) = 97*w - 2. Suppose -2*c + 10 = 2*x, -4*x - 5*c = -6*x - 18. Is 60 a factor of m(x)? False Let o(h) = h**3 - 2*h**2 - 9*h + 9. Let g be o(4). Suppose -l + 28 = -g*n, -3*l + 4 = -n + 2*n. Suppose -2*r + 2*m - 61 = -l*r, 10 = 5*m. Does 21 divide r? False Suppose 53 = -2*s - 229. Let p = -99 - s. Let w = p - 16. Is w a multiple of 26? True Let h = -33 - 138. Is 21 a factor of (-14)/(h/18 - -9)? False Let p be (7 + 154/(-21))/(1/12). Let q(u) = 6*u**2 - 10*u + 2. Is 27 a factor of q(p)? False Suppose 3*x = -d + 867, 3*d - 2609 = 64*x - 65*x. Suppose -6*f - d = -1440. Does 64 divide f? False Let n be (35/(-7))/(-3 - -2). Suppose n = -3*k + 2, 3*k = 3*f - 141. Is f a multiple of 14? False Let h = 13742 - 3002. Is 60 a factor of h? True Let v(b) = b**2 - 10*b - 17. Let c be v(-4). Is 13/(c/765) - (2 - 3) a multiple of 58? False Let u(g) = -32 + 27 - 10*g + 4*g. Let h be u(-1). Is 12 a factor of -1 - -106 - 4/h? False Is 126 a factor of (29 - 15) + -13 + (-1 - -8043)? False Suppose -33*j + 35*j = -14. Let k(c) = c**3 + c**2 + 10*c + 21. Let b be k(j). Let h = b + 504. Is 23 a factor of h? True Let s be 12*(-4)/(-6)*(-18)/(-24). Suppose -s = -5*k + 3*k. Suppose k*a - 61 = -25. Does 8 divide a? False Suppose -10*k + 89*k - 6303 = 46*k. Is k a multiple of 2? False Suppose 4259 = s + y - 2463, 3*s + 4*y = 20168. Is 64 a factor of s? True Suppose 140 = 3*c + 83. Suppose -c*n - 3311 = -26*n. Does 43 divide n? True Let h = 295 - 298. Does 32 divide 323 + (0/h - 3)? True Let w(j) = -5*j + 59. Let p be w(11). Suppose 3786 = p*c + 466. Is 26 a factor of c? False Suppose 2819 = -o + 334. Is 3 a factor of o/(-45) - 4/18? False Let d(i) = i - 7. Let r be d(0). Let h(m) = -30 + 116*m**2 + 3*m + 100*m**2 - 214*m**2. Does 6 divide h(r)? False Suppose u + 5*r - 5494 = 0, 0 = 477*u - 476*u - 4*r - 5458. Is u a multiple of 7? True Let p(i) be the second derivative of 13/6*i**3 - 1/12*i**4 - 11*i + 0 + 3*i**2. Does 7 divide p(11)? True Suppose -3*x = -3*u - 0*u - 3, u + 11 = 3*x. Suppose -2*w - x*v = 13, 5*w - 4*v = -0*v - 16. Let f(s) = -44*s + 8. Is 30 a factor of f(w)? False Suppose 3*m - m - 2 = 5*y, 2*y - 5*m = -5. Let k = -9547 - -9549. Suppose -4*g - k*j + j = -572, y = j. Is g a multiple of 13? True Let i = 59 + -71. Let l(j) = j**3 + 16*j**2 + 22*j - 11. Is 43 a factor of l(i)? True Suppose -v + 212 = 86. Let a be (v/10 - 0) + 4/10. Suppose -a = 3*i - 31. Does 2 divide i? True Let n be (5/(-10))/(14/8 + -2). Let g = -482 + 811. Suppose -8*w = -4*w - 3*f - g, f - 157 = -n*w. Is 13 a factor of w? False Suppose 2*f + 135 = 99. Is (-3)/(f/3)*194 a multiple of 16? False Suppose -225 - 127 = -16*c. Suppose -c*l - 294 = -6762. Is l a multiple of 98? True Let f = -48680 - -69664. Does 38 divide f? False Suppose 3*p - 1 - 21 = -u, 2*u = 8. Suppose 30 = -p*h - 0*h. Does 15 divide 14/10 + (-3)/h + 58? True Let v(j) = j**2 - 9*j - 22. Let c be v(11). Let n = 103 + -99. Suppose n*f = i - 88, c = -2*i - 3*f + 58 + 74. Is i a multiple of 9? True Suppose w = 2*u - 6*u + 1193, 3*w + 5*u = 3572. Suppose 3*q - w - 3014 = 0. Suppose 9*o - 93 = q. Does 11 divide o? False Let c(m) = 6*m**3 + 3*m**2 + 5*m - 1. Suppose 4*b + 63*o - 65*o = 20, 3*b + 5*o = -11. Does 30 divide c(b)? False Let d = -10095 - -14655. Is 95 a factor of d? True Let o = 138 + -93. Let v = o + -42. Suppose -27 = -0*i - v*i. Is i a multiple of 4? False Let b(u) = -u + 5. Let n be b(5). Let q be ((-344)/(-20))/((-8)/(-20)). Suppose 0 = -c - 7 + 2, 2*f + c - q = n. Does 6 divide f? True Suppose -o = 3*o - 1256. Let t = -3505 - -3516. Suppose o - 28 = t*x. Does 26 divide x? True Suppose 10*m - 33*m - 23 = 0. Let b(s) = -70*s**3 + 3*s + 3. Is b(m) a multiple of 5? True Let t be 0/1*(12/(-4) + 2). Let c be (1 - t) + -95 - (-4 - -7). Let k = -1 - c. Is k a multiple of 8? True Is (50/(-1))/((-66)/(-44) - (-161)/(-106)) even? True Let y be ((-2)/(-6))/(1*(-5)/(-45)). Let v = 9 - y. Suppose 2*z + v*z = 296. Is z a multiple of 20? False Let z(a) = a**3 - 15*a**2 + a - 10. Suppose -2*b + 25 + 14 = 3*k, -2*k + 39 = -3*b. Let g be z(k). Suppose -g = 2*l + 3, -4*l + 127 = q. Is q a multiple of 13? True Let b = -237 + 236. Let m(d) = -265*d**3 - d**2. Does 22 divide m(b)? True Let j = 708 - 635. Suppose -j*p + 64*p + 4185 = 0. Is p a multiple of 15? True Suppose 0 = x + 4, 4*o - 4*x = -6 + 34. Suppose -2*k + 2384 = 3*y, o*k + 5 = 2*k. Is y a multiple of 7? True Let d be -2*(-54)/4 + (-52)/26. Is 3 a factor of d - 6/(-24)*0? False Let k = -311 - -961. Suppose -k - 648 = -11*p. Is 7 a factor of p? False Suppose 2*s = -4*z + 120 + 2326, 5*s - 6067 = 2*z. Suppose 15*m = -0*m + s. Is m a multiple of 2? False Let u be (2 - 16/4)*-3. Suppose u = t + 3*t - 3*k, 0 = -3*t - 4*k + 17. Suppose -5*q = -t*q - 32. Is q a multiple of 16? True Suppose 36 = f - 9. Suppose f*a = 51*a - 180. Does 10 divide a? True Let n = -21998 + 35699. Is n a multiple of 115? False Let v(a) = -35 + 68*a**2 + 17 + 25 - 23*a. Is v(-3) a multiple of 16? True Suppose -z = -5*k + 984316, 3*k + 4*z = 251666 + 338942. Is 14 a factor of k/160 - 4/10? False Suppose 7 = -26*l + 27*l. Does 5 divide 60/14*(-2 - (l - 44))? True Suppose 4*z = 3*l + 192, -123 = 2*l - z - 0*z. Let g = l + 141. Does 10 divide g? False Suppose 0 = 5*l + c - 1297, 3*c + 686 = 2*l + 157. Suppose -l*h + 266*h = 540. Is h a multiple of 10? True Is 190/7*(379 + 48) a multiple of 5? True Let j be (-12 + 2)*(-1)/(15/5118). Let v = j - 2290. Is 17 a factor of v? True Let f(q) = 2*q - 6. Let u be f(7). Let t(r) = 5 - 16 + 2*r + 52*r**2 - 51*r**2. Is 23 a factor of t(u)? True Let b(m) = m**2 + 17*m + 79. Let q be b(-10). Suppose -471 = -q*h - 156. Is h a multiple of 2? False Suppose 0 = 6*p - p - 15, l + 3*p = 12. Let i(y) = -y**3 + 7*y**2 - 2*y + 2. Does 7 divide i(l)? False Suppose 4*c = -i + 26738, 63*c = -5*i + 61*c + 133816. Does 9 divide i? True Let b be (2 + -2 + 1)/(7/21). Suppose 146 = x + 6*s - b*s, 410 = 3*x + 2*s. Is 10 a factor of x? False Let k(r) = r + 5. Let d be k(-10). Is (6 - 10/d)*20 a multiple of 16? True Is (-126)/567 + (-111)/(-135) + 10917/5 a multiple of 104? True Let j be 24/132 - 1096/(-22). Let v(d) = -d - 3. Let u be v(22). Let c = j - u. Does 5
{ "pile_set_name": "DM Mathematics" }
s 36 a factor of v? True Let i(z) = 14 + 25*z + 2*z**3 + 0*z**3 + 21 - 3*z**3 + 25*z**2. Let f be i(26). Does 15 divide 1623/f - 3/9? True Suppose -d + 35772 = 2*q, -8*d - 89411 = -5*q - d. Is 112 a factor of q? False Let b(p) = -8*p**2 + p + 1. Let t be b(1). Let l be ((-8)/64)/((-1)/t)*16. Does 10 divide 1/3 - (560/l - -1)? False Suppose -b - 3 = 0, -2*o + 12 = -o - 3*b. Let z be 17370/207 - (-2)/23. Suppose 0 = -o*w + z + 30. Does 19 divide w? True Let k(x) = 2*x - 3. Let f(b) = -45*b - 145. Let m(o) = -f(o) - 3*k(o). Is 10 a factor of m(5)? False Does 43 divide (-68674)/(-22) - (21 - 6300/308)? False Suppose 5*t = -6*w + 48611, 8*w + 32356 = 12*w - 4*t. Is 88 a factor of w? True Let q(x) = x. Let v(j) = j + 5. Let k(o) = -2*q(o) + v(o). Let u be (-3 - 52/(-20))/((-5)/(-100)). Does 13 divide k(u)? True Let n(p) = -2*p**2 + 28*p - 2. Let u be n(12). Suppose -5*w + 5*o = 2*o - 190, -w - o = -u. Is 41 a factor of w? True Let w(h) = 229*h**2 + 709*h - 4957. Does 10 divide w(7)? False Let r(j) = -12 - 14 + 26*j + 13*j + 2*j. Let m be r(11). Suppose -2*v + z + 421 = 2*v, 4*v = 5*z + m. Does 35 divide v? True Let l be 72/15 + 44/(-55). Suppose -3*v = -5*v - 3*w + 1111, 0 = -l*v + 5*w + 2255. Is 40 a factor of v? True Is (-27)/(378/196) - -20966 a multiple of 18? True Suppose -9718 = 463*b - 451*b - 57466. Does 23 divide b? True Suppose 3*g = -2*q + 40892, -70*q + 69*q - 3*g + 20446 = 0. Is q a multiple of 16? False Does 27 divide (-235)/35 + 6 + (-956390)/(-70)? True Let s(v) = -v**3 + 2*v - 9. Let n be s(-3). Let i(q) = 11*q + 36. Is 24 a factor of i(n)? True Suppose 182*i - 1036 = 175*i. Is 19 a factor of ((-65)/20 - -5)*1*i? False Suppose -1536*t = -1586*t + 460500. Is t a multiple of 6? True Let l(k) be the first derivative of 29*k**2/2 - 18*k - 32. Is 31 a factor of l(5)? False Suppose -64*p = -71*p + 14. Let k(y) = -5*y - 1. Let d(s) = 6*s + 2. Let u(x) = 4*d(x) + 3*k(x). Is 3 a factor of u(p)? False Let a be (204/15)/(((-6)/(-10))/3). Let r = -66 + a. Does 10 divide ((-18)/(-36))/((-2)/(-664)*r)? False Suppose 33480 = o + 80*d - 83*d, -5*d - 33492 = -o. Does 78 divide o? True Let b = 13 + -19. Let c(j) = 13*j + 26. Let m be c(b). Does 17 divide m/((2/(-7))/(11/11))? False Suppose -2*l + 36 = 3*r + l, 5*l - 25 = 0. Suppose r*j + 8 = -20. Is 1 - j/((-4)/(-131)) a multiple of 34? False Is 54 a factor of (-61)/(366/60) - -1954? True Suppose 0 = -4*x - 3*n - 9, x + 38*n = 43*n + 15. Suppose x = 32*p - 26*p - 1428. Is 7 a factor of p? True Let y = 58882 + 2333. Does 14 divide y? False Suppose 5*f - 16 - 49 = 0. Let n = f - 9. Suppose l - 31 = 3*h, 2*l + 33 - 125 = -n*h. Does 20 divide l? True Let n(y) = 23*y - 320. Let u be n(14). Suppose 0 = -u*b - 2 - 2, 6364 = 5*p + 3*b. Is 15 a factor of p? False Let m(f) = -297*f - 3809. Does 188 divide m(-41)? False Suppose 2*m - 69 + 49 = 0. Suppose -m*x + 2998 = -5*x - 4*i, 0 = 3*x - i - 1796. Is x a multiple of 67? False Let p(s) = 6551*s**2 + 50*s - 111. Is 58 a factor of p(2)? False Let y(s) = -s**2 - 22*s - 16. Let v be y(-15). Suppose -93*l + 652 = -v*l. Is l a multiple of 11? False Suppose -13*o = -11*o - 208. Suppose o = -46*c + 48*c. Is ((-27)/6)/(0 - 2/c) a multiple of 13? True Let i(h) = h**2 + 10*h - 9. Let j be i(1). Suppose 2*w - 71 = 5*f - 28, -4*w - j*f = -74. Does 2 divide w? False Let q be 778 + 18 + (1 - -5). Suppose -d + 4*a = 3*d - 640, -3*a - q = -5*d. Is 23 a factor of d? True Suppose y - 5 = -4*d, 0*d + d + y = 5. Let v = d + -1. Does 12 divide 69 + (0 - ((v - 2) + 5))? False Let h = 238 - 197. Suppose -19*c - 14168 = -h*c. Is 14 a factor of c? True Let y(l) = -l**2 - 20*l - 23. Let c be y(-19). Let r be (-3)/12 - (c - 39/(-4)). Does 9 divide (-3)/(-2) + ((-237)/r - 5)? True Let v(z) = 4*z**3 + 45*z**2 + 5*z + 16. Let u be v(-11). Suppose 6097 = -69*t + u*t. Does 29 divide t? False Let y be (17/(425/(-60)))/(8/(-100)). Is y/75 - (-292)/20 a multiple of 6? False Let q(j) = 82*j**3 + 4*j**2 - 4*j - 6. Let w be q(-2). Let t = -300 - w. Is 13 a factor of t? True Let p(f) = 3*f**3 - 43*f**2 - 27*f + 89. Let l be p(16). Suppose 2*y - 1141 = 4*z + l, -12 = -4*z. Is y a multiple of 85? False Suppose -3*j = 3*h - 16221 - 46665, -62850 = -3*j + 3*h. Is j a multiple of 124? True Does 199 divide (-62505)/(-9) + -5*108/60? False Suppose -132*l + 32*l = -35900. Does 2 divide l? False Let q(y) = 146*y**3 - y**2 - y + 2. Let c be 27/21 + -3 + (-76)/(-28). Let z be q(c). Suppose 7*x - 295 - z = 0. Is 23 a factor of x? False Does 52 divide (511/5 - -2)*(247/(-13) - -44)? False Is 80 a factor of (-702)/(-156) - (-60782)/4? True Let q(a) = a**2 + 112. Let g be q(0). Let v(x) = 166*x + 4. Let j be v(0). Suppose -3*k + 0*i + 79 = i, j*k + 3*i = g. Does 4 divide k? False Suppose -2*c - 8 = 0, -207*n = -202*n + 2*c - 23832. Is 5 a factor of n? False Let u(a) = 8*a**2 - 62*a + 525. Does 3 divide u(17)? False Let q(t) = -t**3 + 12*t**2 - 2*t + 36. Let m be q(12). Suppose -4*z = -2*x - 12, -4*z + 6*z - 4*x = m. Is z even? True Let s(h) = 8 + 2*h**2 - 12*h - 7*h - h**2. Let x be s(18). Is 2625/x*(36/15)/(-3) a multiple of 14? True Let w = 15401 - 11419. Does 4 divide w? False Let s(a) = a**3 - 6*a**2 - 3*a - 9. Let g be s(6). Let r(j) = j + 26. Let m be r(g). Is m*4/(-24) + 1181/6 a multiple of 13? False Let s(l) = -67*l**3 - 9*l**2 - 16*l + 20. Is s(-5) a multiple of 165? True Let l = 2057 - -977. Is 8 a factor of l? False Suppose 0 = 4*u - 3*l - 129852, -71*u + 32441 = -70*u + 2*l. Does 93 divide u? True Let h(n) = n**3 - 21*n**2 + 48*n - 51. Let i(m) = -m**2 - 1. Let s(j) = h(j) + 3*i(j). Is 5 a factor of s(22)? False Let u(p) be the third derivative of -1/30*p**5 + 17/24*p**4 + 0*p + 0*p**3 - 1/120*p**6 - 22*p**2 + 0. Is u(-7) a multiple of 21? True Let o = 390 - 371. Is 15 a factor of o + 766 - -1*4? False Let l = -621 + 626. Suppose 4*d = -12, 4*o - 790 = -l*d + 327. Does 3 divide o? False Let u = 5750 + -2642. Suppose 4*g = u - 24. Does 69 divide g? False Suppose 0 = -30*h + 246929 + 4441. Does 85 divide h? False Let q = 59 + -59. Suppose q*i + 4*i = 100. Suppose -o = -i - 7. Is o a multiple of 8? True Let r(s) = 3*s**2 + 17*s + 11. Let w = 29 + -34. Let k be r(w). Is (4/(-6) + 167/3)*k a multiple of 11? True Let f(a) = -a**3 + 20*a**2 - 18*a - 25. Let w be f(19). Let h(b) = -25*b - 50. Is 10 a factor of h(w)? True Let n(y) = 1785*y + 4830. Does 51 divide n(7)? False Suppose z - 3*u - 581 = 0, 0*u + 2*u + 1729 = 3*z. Let i = z + -359. Is i a multiple of 9? True Let l(t) = 9*t**2 - 77*t - 1648. Does 124 divide l(-35)? False Let i = -916 - -1430. Let p = i + -402. Does 16 divide p? True Let a(b) = -7*b - 96. Let l be a(-14). Suppose -z - 2*h - 950 = -5*z, -h = l*z - 485. Does 15 divide z? True Suppose 216 = -0*x + 3*x. Suppose -17*m + 28 = -23. Let p = m + x. Does 13 divide p? False Suppose 0 = 17*w - 0*w - 9639. Let h = 17 - 10. Suppose h*l - w = -2*l. Is 9 a factor of l? True Is (-448)/(-12)*72732/176 a multiple of 38? True Suppose 12 = -6*g - 0*g. Let w be -5 + (-2)/g + 18. Does 38 divide (2 - (-60)/(-35)) + 1060/w? True Let q = 133 - 131. Suppose 1208 = q*m - 4*j, -1142 = 5*m + j - 4129. Is m a multiple of 26? True Let d = 48057 - 26958. Does 10 divide d? False Suppose -3*u - 131 = -143, 3*z = 4*u + 27908. Is z a multiple of 26? True Suppose -2*j = 5*f - 683, -4*j + 1331 = -0*f + 3*f. Let b = -233 + j. Let k = -14 + b. Is k a multiple of 27? False Let s = 9964 - 6208. Is 3 a factor of s? True Suppose 2*o - 378 = -2*w, -5*o + 4*w + 952 = 2*w. Suppose -z + 344 = 4*h, -2*h - 9*z = -4*z - o. Does 5 divide h? True Let q(f) = -8*f + 90. Let u be q(8). Suppose 4*a + 5*r - 22 = 0, -4*a + 3*r + u = 6*r. Is a a multiple of 3? False Suppose 0*i = -2*k - 3*i - 31, k = -2*i - 13. Is 46 a factor of (-6)/(1/(k/3))*17? True Let t = 5018 + -8762. Does 14 divide (t/240)/(3/(-70))? True Does 29 divide (9 + (-213)/21 - -1) + (-101292)/(-14)? False Let c = 17 - 17. Suppose -5*z = -5*n - 2*z + 77, -3*z - 12 = c. Suppose -n*o + 416 = -9*o. Is 26 a factor of o? True Suppose 0 = 2*w + 3*w + 3*r - 6, 0 = 2*w + 4*r + 6. Let v be (-1)/((w/(-105))/(-1)). Let o = v + 91. Is o a multiple of 24? False Let s(w) = w + 1. Let h(b) = -218*b + 65. Let t(o) = -h(o) - 3*s(o). Does 18 divide t(4)? True Suppose -6*j - 5*r = -7*j + 1465,
{ "pile_set_name": "DM Mathematics" }
u + 14*u + 20 = 0. Sort -3, u, -2 in ascending order. -3, -2, u Let j be (-14)/(-28) + 11/2. Sort 3, 0, j, -2. -2, 0, 3, j Suppose -5*x = -5*c + 55, 3*c + 4*x = 2 + 17. Suppose 3 + c = 3*h. Let t = -7 - -6. Put 2, h, t in increasing order. t, 2, h Let b = 2.8 + -3. Let c = -0.3 + b. Suppose p + 21 = 22. Sort p, -3/7, c in descending order. p, -3/7, c Let b be -20 + -2 + 3 - 2. Let s = b + 23. Sort s, 3, -3 in decreasing order. 3, s, -3 Let j be 4 - 4/56*52. Sort j, 2, 2/11 in descending order. 2, j, 2/11 Let x = -135 - -135. Let w = -36 - -21. Put w, x, 0.1 in decreasing order. 0.1, x, w Let h be 2*16/(-15) - -2. Let j = 0.34 + 0.16. Sort h, -5, j. -5, h, j Let f(u) = -5*u + 9. Let w be f(2). Let q = -19 - -41/2. Sort -0.2, w, q in descending order. q, -0.2, w Let x(i) = -i**2 - 3*i - 4. Let t be x(-3). Put 1, t, 3 in decreasing order. 3, 1, t Let i = -10 - -17. Suppose 0 = -3*m - 1 + i. Suppose -3*g - 4*h + 15 = 0, m*h + 0*h = 6. Sort 0, g, 3. 0, g, 3 Let p = 40 + -27. Let y = -17 + p. Put 4, -1, y in ascending order. y, -1, 4 Suppose 1 = -26*t + 27*t. Sort 0.4, 0.3, -1/2, t in descending order. t, 0.4, 0.3, -1/2 Let q = 0.43 + -0.29. Put 2, -2/11, q in increasing order. -2/11, q, 2 Let q = 55/4 - 14. Put -0.3, 8/13, q in increasing order. -0.3, q, 8/13 Let l = -0.18 + 8.18. Let c = l + -8.3. Let b = 4.6 + -0.6. Sort c, 3/8, b. c, 3/8, b Let g(v) = -v**3 - 7*v**2 + 9*v + 7. Let p be g(-8). Let n = 78 - 77. Sort 0, n, p in descending order. n, 0, p Suppose 0 = 5*y + 12 - 2. Let t be (3/(-9))/((-1)/y). Sort 1, t, -2/9 in decreasing order. 1, -2/9, t Suppose 4*t - 6 + 22 = 0. Let g be ((-2)/(-2) - t)/(-1). Put 4, g, -3 in ascending order. g, -3, 4 Let v be ((-4)/(-4) - -7)*(-1)/2. Sort -21, v, -1 in decreasing order. -1, v, -21 Suppose 3*m + 5*v - 51 = 0, 2*m - 34 = -v - 4*v. Let o = -10 + m. Suppose 4*f - 1 = o. Put -2, f, 4 in increasing order. -2, f, 4 Let j = 0.287 - -0.013. Let w = 0.9 - 0.4. Put j, -2, w in descending order. w, j, -2 Suppose 0*u = u - 1. Let m(a) = -a**3 + a**2 - 2*a + 1. Let d be m(u). Sort -2, 2, d in increasing order. -2, d, 2 Let z = -2 - -3. Let g(d) = -d**2 - 3*d + 2. Let s be g(-3). Suppose l + 3 = s*l. Sort l, -4, z. -4, z, l Suppose 3*c - 3*l + 9 = 0, -5*c - 3 = -3*c - 5*l. Let v(s) = s - 5. Let g be v(4). Let j be 5/2 + g + -2. Put c, 5, j in ascending order. c, j, 5 Let w = 14 + -16. Let i = 0 + w. Put i, -0.4, 0.3 in ascending order. i, -0.4, 0.3 Let h = -41 - -37. Let k = 11 + -7. Suppose -k*j - 5*u = -0*j - 22, -5*j = 3*u - 21. Put 1, h, j in ascending order. h, 1, j Suppose 2*s - v = 3*v + 6, -3*v = 0. Put s, 2, -4 in descending order. s, 2, -4 Let k be (-3)/((45/(-6))/5). Suppose 59 = 3*d - 0*d - 4*p, -2*d + 16 = k*p. Let t = 8 - d. Put 2, 4, t in increasing order. t, 2, 4 Let i = -9 + 8.5. Sort 3, i, -3 in descending order. 3, i, -3 Let t = 16/29 + -214/493. Let g = 7 - 1. Sort t, g, -0.3 in decreasing order. g, t, -0.3 Suppose 4*j - 3 = 3*k - 4, -5*j - 5*k = -25. Suppose 3*i + 2*i - 20 = 0. Sort j, -5, i in increasing order. -5, j, i Suppose 0 = 5*z + 3*k - 22, 5*k + 12 = 2*z + 3*k. Sort -9, z, 3 in increasing order. -9, 3, z Let o = 1/11641 - 171294/58205. Let v = 22/7 + o. Suppose n = -n - 4*z + 10, -6 = -2*n - 2*z. Put -0.2, v, n in descending order. n, v, -0.2 Let j(c) = 36*c**3 - 41*c**3 + 1 - 2 - c**2 - 2*c. Let i(u) = u - 7. Let p be i(6). Let f be j(p). Put 4, f, -3 in decreasing order. f, 4, -3 Let g(z) = z - 9. Let v be g(7). Let h be v/(-8) - (-1)/(-2). Let a = 2.3 + -2. Sort 3/2, h, a in descending order. 3/2, a, h Let n = 76.8 - 77. Sort 4, n, 0.5, -0.21 in descending order. 4, 0.5, n, -0.21 Let w = -0.32 - -0.82. Sort w, 1/3, 3, 0.1 in increasing order. 0.1, 1/3, w, 3 Suppose -5*u = -r + 8, 5*u + 2*r - 1 = -0*u. Let x(l) = -8*l + 5 + l - l**2 + 0*l**2. Let c be x(-7). Put c, 1, u in increasing order. u, 1, c Let n = 0.57 - 0.07. Sort 2/3, n, 2/7 in decreasing order. 2/3, n, 2/7 Let j = -11 + 31. Let v = j + -24. Suppose -3*q - 27 = 4*o, 2*o - 4*q - 26 = 4*o. Put 0, v, o in ascending order. v, o, 0 Let x = -5.5 - -5. Put x, 2, 0, 0.07 in ascending order. x, 0, 0.07, 2 Let t = 0 + -1. Let a = t + -4. Let f = 4.8 + a. Sort -5, f, -1. -5, -1, f Suppose -3*q - 26 = -8. Sort -4, q, 0 in descending order. 0, -4, q Suppose -3 = -2*b + 7. Suppose y + b = -5*h, -6*y + 3*y - h + 13 = 0. Suppose -r + y = 4*r. Put 1/2, -0.3, r in decreasing order. r, 1/2, -0.3 Let j(k) = 2*k - 2. Let u be j(2). Let d(g) = -5*g**u + 5*g - 2 + 4*g**2 - 2. Let z be d(5). Sort z, 0, 4 in decreasing order. 4, 0, z Let f(b) = 0*b**2 - 5*b - b**3 + 10*b - 4*b**2. Let o be f(-5). Suppose o = 3*z - 15, -p + 0*z - 4*z = -21. Put 3, -3, p in increasing order. -3, p, 3 Let g be (6/(-12))/(2/16). Let k be g/(-26) - (-82)/(-26). Put 0, -4, k in ascending order. -4, k, 0 Let a = -345 - -582. Suppose -a = -5*o + 83. Let z be (-1 - -4) + (-216)/o. Sort 0.4, z, -1 in descending order. 0.4, z, -1 Let b be 1 - 5/2*2. Let s be 12/(-27) + b/18. Sort 0.1, 2, s in decreasing order. 2, 0.1, s Let m = 7 - 8. Let n be m*((-6)/(-3) + -3). Sort n, -5, 2 in decreasing order. 2, n, -5 Let k be -3 + (8/(-3))/(-1). Suppose -3*m + 20 = 2*m. Put -4, m, k in descending order. m, k, -4 Let b(x) = -x**2 + 2*x. Let u be b(3). Suppose 0 = -2*t - 3*t + 4*a - 2, -t + 11 = 3*a. Suppose 1 = t*y - 3. Put y, 0, u in ascending order. u, 0, y Suppose 0*j = j - 8. Suppose -2 - 22 = -4*r. Let z = r - j. Put -5, -4, z in descending order. z, -4, -5 Let b = -5 + 8. Suppose 3*a - b*t = -3, -3*t + 21 = 3*a - 0*t. Suppose 5*o + z - a = 2*z, -z = 3. Put o, -4, -3 in decreasing order. o, -3, -4 Let y = 3 + -4. Let n = -3 + y. Sort n, 3, -3. n, -3, 3 Let o = -19 + 17. Let n = 2 + -2.3. Sort o, 1/7, n. o, n, 1/7 Suppose -11 = 7*o - 32. Put o, -2, 0 in ascending order. -2, 0, o Let o = -167 - -164. Let k be (-20)/(-6)*12/10. Sort k, 0.04, o in decreasing order. k, 0.04, o Let b be (421/3 - 3)/2. Let c = -68 + b. Let f be -4 - -1 - 35/(-14). Sort f, c, 1/6 in descending order. c, 1/6, f Let r(f) = f**3 - 8*f**2 - 10*f + 12. Let y be r(9). Suppose -y*u = 12 - 6. Sort -2/15, -1/9, u in decreasing order. -1/9, -2/15, u Let b = -7 - -8. Let u = -0.62 + 0.32. Sort u, 0.3, b in descending order. b, 0.3, u Let a(n) = -8*n - 29. Let q be a(-4). Sort 2, 5, q. 2, q, 5 Let n = -6 + 3. Let f = 0.43 + -0.83. Sort f, 0.4, n. n, f, 0.4 Let u be (-70)/(-9) - 2/(-9). Suppose z = 5*z - u. Suppose -11 = -y + 5*h, 2*h = -y - z - 8. Sort y, -5, -3. -5, y, -3 Let m = 20 - 28. Let o = m - -3. Let d = 0.3 + -3.3. Sort -2, d, o. o, d, -2 Let a(i) = i**3 + i**2 - 2*i - 1. Let f be a(-1). Suppose 8 = 3*v - f. Let l = v + -3. Put 2, l, 4 in increasing order. l, 2, 4 Let f = 1.3 + -0.3. Let x = f - -2. Sort -3/4, x, -5 in decreasing order. x, -3/4, -5 Let i(l) be the second derivative of -l**5/20 + l**3/3 - l. Let w be i(2). Let c be 1/(-2) - 1/(-2). Sort -3, c, w in decreasing order. c, -3, w Suppose 3*j + 5 = -4. Let a be (-9)/(-3) + j + 1. Sort a, -1, 0 in ascending order. -1, 0, a Suppose -20 - 7 = b + 5*n, 12 = -3*n. Put b, -1, -0.5 in decreasing order. -0.5, -1, b Let g = 1465/9 + -163. Let d = 13/11 - 37/22. Sort g, d, 5 in decreasing order. 5, g, d Let m = 38 + -75/2. Sort -1/3, m, -5 in decreasing order. m, -1/3, -5 Let m = 0.36 - 0.16. Put 2, m, -0.3 in decreasing order. 2, m, -0.3 Let b = -10 + 4. Put 2, b, 1 in decreasing order. 2, 1, b Let r = -65 + 61.95. Let i = -0.05 - r. Sort 4, i, -5/2. -5/2, i, 4 Let p(x) = x**3 + 23 - 25 + 0*x + 5*x**2 + 0*x**2 - x. Let q be p(-5). Sort -5, -4, q in ascending order. -5, -4, q Let f = 14 + -12. Let v = -2 + 1. Put v, -5, f in descending order. f, v, -5 Let k = -0.9 + 1. Let v = k - 0. Let o = v + -0.1. Sort o, -3/7, 2/3 in decreasing order. 2/3, o, -3/7 Let k(l) = -l + 18. Let o be k(11). Sort o, 2, -3 in ascending order. -3, 2, o Let h = 46 + -48. Put h, -4, -5 in decreasing order. h, -4, -5 Suppose -2*i = 13 - 3. Suppose 0 = -t + 5*o - 15, 3*t = 5*t + 4*o - 26. Sort t, 1, i in increasing order. i, 1, t Let d = 295/9 - 33. Let j(f) = -f - 11. Let r be j(-12). Let s be (5/2)/r + -3. Put d, -0.1, s in descending order. -0.1, d, s Let f = -0.35 + 0.05. Sort -1/3, 5, f. -1/3, f, 5 Suppose -3 = 2*b + 13. Let t be -4 - -1 - b/3. Let j be (-16)/108*(-6)/(-4)
{ "pile_set_name": "DM Mathematics" }
*2 - 194*b - 29. What is g(-12)? -5 Let j(r) = -9*r**2 - 64*r - 17. Determine j(-7). -10 Let l(j) = 4*j - 11. Calculate l(4). 5 Let b(o) = -2*o**2 + 16*o - 5. Determine b(8). -5 Let m(t) = -2*t - 9. What is m(9)? -27 Let c(k) = 53*k**3 + k**2 + k - 1. Give c(1). 54 Let l(x) = x**2 - 16*x + 37. Calculate l(12). -11 Let p(v) = 2*v**2 - 5*v - 17. Give p(3). -14 Let n(q) = q + 32. Calculate n(12). 44 Let z(y) = y**3 - 7*y**2 + 22*y - 58. Calculate z(5). 2 Let m(d) = 3*d - 8. Calculate m(-4). -20 Let n(h) = 4*h**3 + h**2 - 2*h + 3. Determine n(2). 35 Let t(d) = -d**3 - 9*d**2 + 4. Give t(-9). 4 Let z(u) = 7*u + 2. Give z(-13). -89 Let h(u) = -u**2 - 9*u - 1. Give h(-9). -1 Let v(r) = -155*r + 2164. Give v(14). -6 Let b(v) = 3*v**2 - 5*v. Give b(2). 2 Let y(a) = a**3 - 5*a**2 - 7*a - 2. Determine y(7). 47 Let y(l) = 21*l + 114. Calculate y(-6). -12 Let d(t) = 4*t + 3. Give d(-2). -5 Let f(u) = -2*u**2 + u + 30. Determine f(-5). -25 Let k(p) = p**3 - p**2 + 2*p - 1. Determine k(3). 23 Let i(o) = -3*o**2 + 12*o - 18. What is i(9)? -153 Let u(p) = -p**2 - 15*p - 25. Calculate u(-13). 1 Let d(w) = 2*w**2 - 20*w + 31. Give d(8). -1 Let p(v) = 13*v**2 - 2*v - 3. What is p(-1)? 12 Let s(x) = -x - 18. Determine s(13). -31 Let v(r) = r**2 + 10*r + 15. Calculate v(-2). -1 Let j(q) = 27*q + 178. Determine j(-7). -11 Let d(j) = -2*j**2 - 11*j - 8. Calculate d(-8). -48 Let r(l) = -76*l - 4. Determine r(-1). 72 Let v(c) = c**3 + 2*c**2 - 2*c + 1. What is v(0)? 1 Let w(f) = -6*f**2 - f + 7. Determine w(-2). -15 Let l(d) = -2*d**2 + 9*d - 18. Give l(6). -36 Let s(d) = -d**3 - 3*d**2 - 9. Determine s(-4). 7 Let i(g) = -g**3 - 11*g**2 + 27*g - 3. Determine i(-13). -16 Let y(m) = -m**3 + 7*m**2 + m - 7. Determine y(8). -63 Let g(u) = u**2 + 5*u + 7. Calculate g(-7). 21 Let h(t) = -t**2 - 2*t - 30. Give h(0). -30 Let t(c) = -c**2 - 19*c - 19. What is t(-1)? -1 Let r(g) = -8*g - 27. Calculate r(-3). -3 Let g(d) = -d**2 - d + 17. What is g(0)? 17 Let y(q) = q**3 + 3*q**2 - 13*q - 13. Give y(-5). 2 Let y(i) = -5*i - 48. Calculate y(-13). 17 Let y(i) = -i**3 - 9*i**2 - 3*i - 12. Determine y(-8). -52 Let r(s) = -6*s - 13. Calculate r(-3). 5 Let l(q) = 2*q**2 + 29*q - 603. Give l(-26). -5 Let m(i) = -i**3 + 33*i**2 + 4*i - 110. Calculate m(33). 22 Let w(x) = x**3 + 20*x**2 + 37*x + 16. Determine w(-18). -2 Let b(n) = 2*n. Determine b(-1). -2 Let s(k) = k + 54. Determine s(-18). 36 Let y(m) = m**3 + 7*m**2 - 3*m - 4. Determine y(-7). 17 Let r(k) = -5*k**2 + 3*k - 3. Give r(-5). -143 Let w(m) = -m**2 + 6*m + 55. What is w(-5)? 0 Let q(g) = g**3 + 5*g**2 + 2*g + 50. What is q(-6)? 2 Let z(i) = 25*i. Calculate z(-2). -50 Let v(g) = -g**3 - g**2 + 4*g - 4. Give v(0). -4 Let f(d) = 4*d**2 + d - 3. Determine f(5). 102 Let r(t) = 2*t**2 + 5*t + 4. What is r(-1)? 1 Let w(g) = -2*g**2 - 53*g + 40. What is w(-27)? 13 Let c(y) = 13*y**2 - y - 1. Give c(-2). 53 Let i(r) = r**2 - 8*r. Determine i(8). 0 Let q(w) = -w + 50. Give q(-12). 62 Let z(i) = -i**2 + 21*i - 62. Determine z(4). 6 Let f(s) = 23*s + 45. Give f(-2). -1 Let m(y) = y**2 - 3*y - 7. Calculate m(-3). 11 Let f(d) = -12*d + 14. Determine f(2). -10 Let y(j) = j**2 - 7*j - 4. Give y(6). -10 Let d(g) = -2*g**2 + 18*g - 19. Determine d(8). -3 Let t(c) = c**3 - 7*c**2 + 6*c + 4. Give t(5). -16 Let b(f) = -2*f**2 - 3*f + 2. Give b(-6). -52 Let q(i) = 18*i + 27. Determine q(-2). -9 Let d(s) = -2*s**2 + 12*s + 2. Calculate d(5). 12 Let o(i) = -3*i**2 + 3*i - 9. What is o(-4)? -69 Let p(s) = s**3 + 13*s**2 + 2*s - 6. Determine p(-13). -32 Let w(o) = 2*o + 2. What is w(-1)? 0 Let x(s) = -s**3 - 28*s**2 - 49*s - 26. What is x(-26)? -104 Let n(t) = -t**2 + 13*t + 22. Determine n(15). -8 Let o(r) = -5*r - 195. Give o(-41). 10 Let j(k) = k**2 - 10*k + 18. Calculate j(9). 9 Let p(h) = h**3 - 6*h**2 - 12*h + 18. Determine p(6). -54 Let j(l) = -l**3 + 2*l**2 - 1. Calculate j(1). 0 Let k(j) = -5*j - 29. What is k(-6)? 1 Let l(u) = -u**3 - 5*u**2 - 3*u - 8. What is l(-5)? 7 Let i(s) = 3*s**2 + 12*s + 7. What is i(-3)? -2 Let d(m) = -29*m - 87. Calculate d(0). -87 Let b(y) = -28*y - 509. Determine b(-18). -5 Let g(k) = k**3 + 15*k**2 - 16*k + 4. What is g(-16)? 4 Let o(g) = g**2 - 7*g + 3. Determine o(3). -9 Let x(f) = 2*f - 2. Determine x(-2). -6 Let k(i) = -i - 9. Determine k(-21). 12 Let u(q) = q**3 - 8*q**2 - q + 1. What is u(8)? -7 Let a(f) = f**3 + f**2 - f + 11. Determine a(0). 11 Let c(r) = 9*r + 45. Determine c(-6). -9 Let f(z) = 2*z**2 + 6*z - 6. Give f(-6). 30 Let t(j) = -j**2 + 14*j - 9. Give t(14). -9 Let f(z) = z**3 - z**2 + z + 88. What is f(0)? 88 Let z(w) = w**2 - 19*w + 65. Determine z(4). 5 Let f(j) = j**3 - 6*j**2 + 4*j + 6. Determine f(4). -10 Let t(p) = 2*p + 11. What is t(-8)? -5 Let y(r) = r**3 - 10*r**2 + r - 11. Give y(10). -1 Let n(v) = v**2 - 12*v + 6. What is n(11)? -5 Let f(h) = -h**3 - 4*h**2 + 22*h + 6. Determine f(3). 9 Let t(n) = 10*n + 20. Give t(-6). -40 Let n(a) = -a**2 - 13*a - 54. Give n(-9). -18 Let f(r) = r**3 + 9*r**2 - 6*r - 56. Determine f(-9). -2 Let f(u) = u**2 + 8*u - 4. What is f(-4)? -20 Let o(p) = p**3 + 7*p**2 + 12*p + 29. Determine o(-6). -7 Let b(v) = v**3 + 6*v**2 + 3*v + 3. Calculate b(-4). 23 Let r(w) = w**3 + 12*w**2 + 13*w. Give r(-10). 70 Let w(g) = 14*g**3 - 1. Determine w(-1). -15 Let r(s) = 8*s + 56. What is r(-6)? 8 Let g(f) = 3*f + 13. Determine g(-9). -14 Let o(h) = h**3 + 9*h**2 + 2*h. What is o(-7)? 84 Let r(q) = q**2 + 12*q + 10. Calculate r(-8). -22 Let s(a) = 3*a**2 - 8*a + 7. What is s(5)? 42 Let b(g) = 2*g**2 - 19*g - 20. Give b(-1). 1 Let i(m) = -4*m - 17. Determine i(-4). -1 Let m(w) = 2*w - 11. What is m(12)? 13 Let x(t) = 41*t + 31. Calculate x(-2). -51 Let x(p) = 6*p - 6. Give x(5). 24 Let y(n) = -n**3 + 9*n**2 - 2*n - 9. Give y(7). 75 Let u(m) = m**3 - 9*m**2 + m - 3. What is u(9)? 6 Let c(i) = -i**3 + 14*i**2 + 10*i - 134. Give c(14). 6 Let w(l) = -l**3 + 5*l**2 - l - 15. Calculate w(5). -20 Let m(c) = -6*c**3 + 5*c**2 + 3*c + 2. Give m(2). -20 Let z(m) = -m**3 - 14*m**2 + 8*m - 16. Give z(-15). 89 Let s(b) = 5*b**2 - 105*b - 7. Give s(21). -7 Let h(a) = 4*a**3 + 9*a**2 - 27*a - 3. Give h(-4). -7 Let f(x) = 107*x - 112. What is f(1)? -5 Let p(k) = -6*k + 20. Give p(3). 2 Let h(l) = -l**2 - 3*l. Calculate h(4). -28 Let q(h) = -9*h**2 - 3*h + 1. What is q(2)? -41 Let h(n) = 4*n**2 - 34*n + 63. Give h(3). -3 Let i(p) = -5*p**2 + 7*p - 1. Calculate i(2). -7 Let y(l) = -l**3 + 13*l**2 + 87*l + 60. What is y(18)? 6 Let t(o) = 4*o + 20. Give t(-5). 0 Let h(d) = -d**3 + 15*d**2 - 12*d - 32. Give h(14). -4 Let w(z) = -z**3 - 4*z**2 + z - 6. Calculate w(-4). -10 Let s(x) = -4*x**2 + 96*x + 33. What is s(24)? 33 Let o(v) = v**3 - 12*v**2 - 2*v + 6. Give o(12). -18 Let n(x) = -x**3 + 12*x**2 - 9*x - 12. Give n(11). 10 Let n(d) = d**2 + 34*d + 224. Determine n(-10). -16 Let t(l) = -11*l - 67. Determine t(-7). 10 Let d(k) = -k**3 - 7*k**2 + 4*k - 13. What is d(-8)? 19 Let j(a) = -a**3 - 6*a**2 + 9*a + 10. Give j(-6). -44 Let t(n) = n**2 + 7*n - 1. Give t(-7). -1 Let w(d) = -d - 4. Give w(5). -9 Let y(w) = 2*w + 1. Determine y(-2). -3 Let l(n) = -3*n**2 + 6*n - 4. What is l(2)? -4 Let n(h) = -5*h**2 + 4*h - 1. Give n(2). -13 Let l(z) = -z**3 + 7*z**2 + 5*z + 20. What is l(8)? -4 Let s(r) = -40*r + 324. Give s(8). 4 Let d(q) = -6*q**2 + 17*q + 7. Give d(3). 4 Let y(h) = -h**2 - 2*h - 12. Calculate y(5). -47 Let o(k) = -k**3 - 9*k**2 + 21*k + 15. What is o(-11)? 26 Let o(k) = k**3 - 9*k**2 - 17*k + 59. Determine o(10). -11 Let z(k) = -2*k**2 + 5*k - 18. Calculate z(0). -18 Let m(f) = f**2 + 5*f + 1. What is m(-6)? 7 Let s(d) = -d**2 + 5. Give s(0). 5 Let v(u) = -12*u + 7. Calculate v(3). -29 Let n(l) = -l**2 - 8*l - 3. What is n(-9)? -12 Let b(y) = -3*y**2 + 10*y + 10. Determine b(5). -15 Let b(w) = w**2 - 6*w - 25. Give b(10). 15 Let s(y) = y**2 - 11*y - 41. Calculate s(14). 1 Let q(c) = -11*c + 368. What is q(32)? 16 Let v(y) = -y**3 - 5*y**2 + 11. Determine v(-3). -7 Let y(z) = -z**2 - z - 6. What is y(0)? -6 Let x(b) = -b**2 - 7*b + 15. What is x(-9)? -3 Let g(s) = s**2 + 5*s + 4. What is g(-8)? 28 Let d(v) = -v**3 + 6*v**2 + 8*v + 8. Determine d(7). 15 Let f(w) = -12*w - 79. What is f(-7)? 5 Let b(o) = -o**2 + 4*o - 10. What is b(4)? -10 Let g(j) = j**3 - 7*j**2 + 5*j + 1. De
{ "pile_set_name": "DM Mathematics" }
-g. What is the units digit of g? 4 Suppose -5*d + 9 = -11. Suppose d*v = -23 + 155. What is the tens digit of v? 3 Suppose -1 = -4*r + 3. Suppose -z = -1 - 1. What is the units digit of z*(3 + (0 - r))? 4 Suppose d = m - 1, -4*m + d + 0*d + 16 = 0. Let z(v) = v**3 - 6*v**2 + 4*v + 6. What is the units digit of z(m)? 1 Let k(z) = -12*z - 19. What is the units digit of k(-6)? 3 Let b = -3 + 6. Suppose 0 = -b*d + 2*d + 1, 16 = 2*f - 4*d. What is the tens digit of f? 1 Let f be 2/((4 - 2) + -3). What is the tens digit of ((-4)/10)/(f/70)? 1 Suppose -8*x = -3*x - 2*q + 334, 0 = -x - 5*q - 83. Let z = -41 - x. What is the tens digit of z? 2 Let b(f) = f**3 - 14*f**2 + 18*f - 18. What is the tens digit of b(13)? 4 Suppose -p + 38 + 43 = 0. Suppose 0*i = 3*i - p. What is the units digit of i? 7 What is the units digit of 1 + (-20)/5 + 55? 2 Suppose -2*p + 273 = 3*h + 3*p, -2*h = 5*p - 187. What is the tens digit of h? 8 Let v(p) = -3*p - p + 11 + 5*p. Suppose 0*k = 5*k + 25. What is the units digit of v(k)? 6 Let t be 5*(-2 + 3/1). Suppose -3*b - 28 = -t*b. What is the tens digit of b? 1 Let i be 0 + 1*(-11)/1. Let k = 4 - i. Suppose -k = -3*b + 9. What is the units digit of b? 8 Suppose -5*p + 17 = -b, 2*b + 3*p - 14 = p. Let t be 9/b*(-6)/(-9). What is the units digit of 4*t*(-9)/(-12)? 6 Let i(v) = -3*v - 1. Let l be i(-1). Suppose 5*n = l*n - 3. What is the units digit of (-1)/((n/2)/1)? 2 Let g = -173 - -254. What is the tens digit of g? 8 Suppose 3*u + 0*w + 104 = -w, -4*u - 144 = -4*w. Let k = u - -77. What is the tens digit of k? 4 Let x be (-120)/(-9)*(-12)/5. Let v = 45 + x. What is the tens digit of v? 1 Suppose f + 2*f = n + 2, -4*f + 20 = 3*n. Suppose -64 = -n*w + v - 0*v, -v - 16 = -w. What is the tens digit of w? 1 Suppose 8*v - 7*v = -1. What is the tens digit of (109 + v)/3 + 1? 3 Let d be ((-4)/(-6))/(4/(-42)). Let m(s) = s**2 + 8*s + 10. What is the units digit of m(d)? 3 Suppose 106 = 4*l - 102. Let x = l - 75. Let w = x - -39. What is the units digit of w? 6 Let b(a) = 8*a**2 + a + 1. What is the tens digit of b(-4)? 2 Suppose -32 = -5*r + 2*i, -5*i + 10 + 2 = -r. Suppose r = b - 1. What is the units digit of b? 9 Let b = -87 + 33. Let y = -9 - b. What is the tens digit of y? 4 Suppose 0*o - 1 = 2*o - 3*n, 4*n - 12 = 0. Suppose -5*x - 31 = 2*m - 8, -o*x - m - 16 = 0. Let f(r) = -r. What is the units digit of f(x)? 3 Suppose 5*k - 5*z = 0, -k + 0*z = 3*z - 16. What is the units digit of 6/k + (-3)/6? 1 Let v(i) = -4*i - 4. Let w be -1 - (-2 - 0) - 4. What is the units digit of v(w)? 8 Suppose 3*x + 22 + 8 = 0. Let s(t) = t**2 + 11*t + 13. Let y be s(x). Suppose -y*n + 2 = -31. What is the units digit of n? 1 Let z(h) = 4*h**2 + 3*h - 1. Let a be z(2). Let q = a - 8. What is the units digit of q? 3 Let z = 9 - 14. Let p = z - -6. Let w = p + 0. What is the units digit of w? 1 Suppose 0 = 2*d + 2*p + 56, -p - 31 = d + p. Let a = -18 - d. What is the units digit of a? 7 Suppose 0 = -5*q + 18 - 3. Suppose 4*k - 16 = 3*k. Suppose -4*l + q*l = -k. What is the units digit of l? 6 Let x(g) = -3*g + 4. Let w be x(3). Let m(s) = -s**3 - 4*s**2 - 3*s - 2. What is the units digit of m(w)? 8 Suppose s = 2*j + 263, -s - 4*s + 1308 = -3*j. What is the tens digit of s? 6 Let q(r) be the first derivative of r**2/2 - 12*r + 1. Let k be q(9). Let c = k + 4. What is the units digit of c? 1 Let a = 2 - 5. Let m = a + 4. What is the units digit of m/3*3*8? 8 Let q = -1 - -1. Suppose 0*n = 5*n. Suppose -4*r + n*r + 28 = q. What is the units digit of r? 7 Suppose 0 = -3*k - 29 + 8. Let b(c) be the first derivative of c**4/4 + 8*c**3/3 + 5*c**2/2 - 6*c + 1. What is the units digit of b(k)? 8 Suppose 8*h - 354 - 110 = 0. What is the tens digit of h? 5 Let d(x) = 28*x**3 - x**2. Let c be d(1). Let m = 41 - c. What is the tens digit of m? 1 Suppose 3 = 2*f - 1. Let i = f - -8. What is the tens digit of i? 1 Let q(w) = 2*w + 43. What is the tens digit of q(-11)? 2 Let d = -18 + 10. Let m(u) = -3*u - 3. Let b be m(d). Suppose 4 = y + k, -4*y - 3*k = -0*y - b. What is the units digit of y? 9 What is the tens digit of (4 - -1 - -2)*4? 2 Let z(p) = p**3 + p**2 + p. Let k(c) = -10*c**3 - 3*c**2 - 3*c. Let a(u) = k(u) + 4*z(u). Let s be a(-1). What is the units digit of 2/s - (-15)/9? 2 Suppose -4*x = -4*p + 288, 0 = -3*p + p - 5*x + 116. What is the units digit of p? 8 Let c(t) = -t**3 + 5*t**2 + 6*t + 2. What is the units digit of c(6)? 2 Suppose -2*g - 2 = -10. Let p = g - 2. Suppose p*a - 39 = -a. What is the tens digit of a? 1 Let y = 6 + -6. Let z(g) = -g**2 - g + 5. What is the units digit of z(y)? 5 Let k(s) be the second derivative of s**6/360 + s**5/40 + s**4/4 + 2*s. Let j(h) be the third derivative of k(h). What is the units digit of j(4)? 1 Suppose -m - 4*m + 30 = 0. Suppose 0 = m*t - 7*t + 10. Suppose 2*d = 14 + t. What is the units digit of d? 2 Let t be (-6)/14 - (-72)/21. What is the units digit of (-4)/(t/36*-2)? 4 Let q(c) = -2*c - c - c - c + 12. What is the units digit of q(-7)? 7 Let f be (15/9 + -2)*-48. Suppose -13 = -p + f. What is the units digit of p? 9 Suppose 2*g - 5*o = 128, 4*o - 2*o - 192 = -3*g. Suppose -5*s + 27 + 21 = 2*d, -2*d + g = -3*s. What is the tens digit of d? 2 Suppose 1 = u + 4. Let l be (u/(-9))/((-3)/261). Let j = l - -45. What is the units digit of j? 6 Let u(q) = -1. Let r(i) = i**3 + i - 4. Let d(o) = r(o) - 4*u(o). What is the units digit of d(1)? 2 What is the units digit of (((-3)/(-2))/3)/(1/58)? 9 Suppose 5*d = -3*x + 43, -4*d + 29 = -5*x - 35. Let y(f) = -4*f + 16. Let g(j) = 3*j - 17. Let v(a) = -3*g(a) - 2*y(a). What is the units digit of v(d)? 8 Suppose 0 = -p - p. Let d(u) = u + 6 + 1 - 2*u. What is the units digit of d(p)? 7 Let f = -10 - 6. Let h = 41 + f. What is the tens digit of h? 2 Let p(s) = s**3 + 15*s**2 - 18*s - 12. What is the tens digit of p(-16)? 2 Suppose 0 = 10*f - 5*f - 510. What is the units digit of f? 2 Let s = 41 - 23. Let u = -9 + s. Suppose -2*c = -l - 18, c - 2*l = -5*l + u. What is the units digit of c? 9 Let a(m) = 7*m + 19. Let t(h) be the third derivative of -5*h**4/6 - 28*h**3/3 - 3*h**2. Let l(x) = -17*a(x) - 6*t(x). What is the units digit of l(-9)? 4 What is the units digit of 8*3 + (-13 - -15)? 6 Let z = -20 + 21. What is the units digit of z? 1 Let n = 21 + -17. Suppose -4*y + 8*y + 4*r = 112, 0 = -n*y - 3*r + 111. What is the units digit of y? 7 Let q(r) = 35*r + 9. What is the hundreds digit of q(4)? 1 Suppose 58 = -f - 2*f - 2*n, 4*n - 60 = 2*f. Let x = 22 - f. What is the units digit of x? 4 Suppose 3*d + 5*l = 104, 62 = 2*d + 5*l - 14. What is the units digit of d? 8 Let i(v) = 11*v - 8. What is the tens digit of i(4)? 3 Suppose -4*z + 2*l + 774 = -0*z, 0 = 5*z - 3*l - 969. What is the tens digit of z? 9 Let n(v) = -v**3 - 6 - 1 - 8*v**2 - 7*v + 3. Let m be n(-7). Let o = m - -7. What is the units digit of o? 3 Let u = -6 - -81. Suppose i = -4*i + u. What is the tens digit of i? 1 What is the units digit of (-180)/(-4) - -3 - -1? 9 Let u(s) = 2*s + 3. Let n be u(6). Suppose 0 = k + 5*j + n, -2*k + 6*j + 45 = j. What is the tens digit of k? 1 Suppose -2*a - 38 = -0*p - 4*p, -p + 17 = 2*a. Suppose p = 4*d - 9. Let j = 12 - d. What is the units digit of j? 7 Let m(c) be the third derivative of -c**4/8 - c**3/6 - c**2. What is the units digit of m(-2)? 5 Let y be (-3 - -2)*2*2. Let t(f) = 4 + 1 + 3*f - 2 + f**2. What is the units digit of t(y)? 7 Suppose -6*y - 30 = -9*y. What is the units digit of y? 0 Let y(f) = -f**3 - 9*f**2 + 5. Let o be y(-5). What is the tens digit of o/(-4) - (-9)/(-12)? 2 Let a(w) = w**3 + 6*w**2 + w - 6. Let u(p) = -3*p + 1. Let n be u(2). What is the tens digit of a(n)? 1 Let j(w) = w - 2. Let h be j(11). Suppose 3*n = -0*n + h. Suppose 14 = -2*v + n*v. What is the tens digit of v? 1 Let w(m) = m**2 + 4*m + 2. Let i be w(-3). What is the units digit of (2/6)/(i/(-24))? 8 Suppose 0 = -0*v + v. Suppose v = 3*k - k, -2*d + 2 = 2*k. What is the units digit of d? 1 Let q be (-1)/4 + 162/8. Suppose -5*o = q, 8 = -3*z + 5*o + 67. Suppose -2*c + 35 = -5*p, c = -0*c + p + z. What is the units digit of c? 0 Let u(w) = w - 8. Let j be u(6). What is the units digit of 16/20 - j/10? 1 Let c(i) = -i**2 + 6*i - 4. Let h be c(4). Suppose 0*s + 72 = h*s. W
{ "pile_set_name": "DM Mathematics" }
= -3*w - 75. Let d be (-3)/(-6) - w/2. Suppose -3*n = -2*c + 2*n - 5, -3*c - 3*n + 24 = 0. Solve d = 2*z - c*z for z. -4 Let x(g) = -14*g + 1. Let w be x(1). Let q = w + 20. Solve -18 - q = 5*o for o. -5 Let r(o) = -5*o - 9 - 41*o**2 + 22*o**2 - 5*o + 20*o**2. Let n be r(11). Solve 5*s - 3 - n = 0 for s. 1 Suppose -3*i + i + 6 = 0. Suppose -10*y = -9*y - i. Solve 0 = -y*d + 16 - 4 for d. 4 Let q be 2/(-3) + (-55)/(-15). Let f(x) = x**3 - 3*x**2 + 2*x + 1. Let p be f(2). Solve 2*w = q*w - p for w. 1 Let h be -1 - 2 - (3 + -6). Let c(o) = 7*o**2 - 8 - 1 - o**3 - o - 3*o + 6*o. Let r be c(7). Solve r*n - 18 + 3 = h for n. 3 Let n(h) = 41*h**3 - 1. Let b be n(-1). Let f be (-4)/6 - b/9. Let o be 4/(-6) + (-76)/(-6). Solve t = f*t + o for t. -4 Let a(i) = 3*i**2 + 6*i + 6. Let t be a(-4). Suppose -2*u + t = -3*r - u, 40 = -4*r + 3*u. Let b(q) = -q**2 - 11*q - 5. Let l be b(r). Solve -l*s = -0*s for s. 0 Suppose 3*a - 5 = -5*x, 5*a + 3*x = -0 + 3. Suppose a = 4*n + n - 20. Let s be 2/n + (-3)/6. Solve s = -2*o - 2 for o. -1 Let a be 1 + 3/(1 + 2). Suppose -a*l - 2 + 10 = 2*z, -4*l = -z + 9. Suppose -2*v + 8 = 0, 0 = -2*s + z*v - 0 - 12. Solve 0*o + 16 = -s*o for o. -4 Let s be 22/8 + 4/16. Let x(k) = -4*k - 13. Let w(z) = -2*z - 6. Let j(r) = -13*w(r) + 6*x(r). Let p be j(s). Solve 3*a + 0*a - p = 0 for a. 2 Let c(a) = -a**2 - 5*a - 2. Let h be c(-4). Let m be 0*(0 + -3 + h). Suppose -j - v + 2 = 0, 2*j - 2*v - 7 = -3. Solve m = -3*u - j*u for u. 0 Suppose 3*r - 4*k = 0, -5 = -2*r + k - 0. Suppose -178 + 41 = -5*x + 4*h, 85 = r*x + 5*h. Let q be 10/(-4)*(-30)/x. Solve 12 + 3 = -q*j for j. -5 Let p(x) = -3*x**2 - 34*x - 9. Let m be p(-11). Let f be (12/10)/(3/10). Suppose -f*c + 16 = -m*w, -w - 3*c + 20 = 2*c. Solve w = 2*d - 3 + 5 for d. -1 Let k be -3 - (1*-28)/4 - -1. Solve k*g = g - 12 for g. -3 Let x = -6 + 10. Let f = 6 - x. Let g(a) = 2*a**3 + a**2 - a. Let k be g(1). Solve 0 = h - k*h - f for h. -2 Let p(v) = v. Let n be p(3). Solve 3*u = -n - 0 for u. -1 Suppose 5*n + 4*v + 1 = 13, -2*n + 4*v = -16. Solve n*b - 2 + 6 = 0 for b. -1 Let i(n) = 2*n - 1. Suppose -5*a = -0*a - 15. Let s be i(a). Solve 0 = -2*k + s*k + 3 for k. -1 Suppose 1 - 3 = k. Let d be -1 - -1 - 0 - k. Let r = 3 + -1. Solve -r + 0 = d*h for h. -1 Let a = 5 - 3. Suppose 4*x = x - 2*w + a, -35 = -5*x + 3*w. Suppose -z - 2*c + 1 = 3, -2*c + 16 = x*z. Solve 0 = 2*b - 0 - z for b. 3 Suppose 2*i = 4*i. Let t be (-9 - -6) + (0 - -7). Let c be t*4*(-12)/(-64). Solve j + c*j + 16 = i for j. -4 Suppose 3*l = 3*d - 1 + 4, 4*d - 3*l = -1. Suppose d*g = -3*g + 25, -3*c + 5*g = 25. Solve c = -4*h - h + 15 for h. 3 Let a be (4/(-10))/(2/10). Let v be 2/4 - 1/a. Suppose -2*u + 9 = v. Solve x + u = 5*x for x. 1 Let s = -6 + 7. Let u(i) = -4*i**3 + i**2 + 2*i + 1. Let x be u(-1). Solve k - s = -x for k. -3 Let x be (15/10)/((-6)/(-8)). Solve 0 = -0*a + a + x for a. -2 Let d be -2 + 10 + -2 + -1. Suppose -35 = -4*m - 5*f + 2*f, 5*f = d. Let k be 6/21 + 4/(-14). Solve m = -2*g - k for g. -4 Let t(b) = b**2 - b + 2. Suppose a = -4*a + 15. Let i be t(a). Solve 3*p = 1 + i for p. 3 Let r(y) = y + 4. Let l be r(-4). Let u be (l - 1)*(5 + -6). Let v be u/(-4) + (-74)/(-8). Solve -4*h + 1 - v = 0 for h. -2 Let h(y) = y + 2. Let g be h(-2). Suppose -3 = -z - g*z. Suppose -z*j = 3*a - 18, -2*j + 4*a - 8 = -4*j. Solve 4*t - j = 8 for t. 4 Suppose 5*z - 6 = -1. Solve z + 2 = -q for q. -3 Suppose 4*j + 3*i + 2 = -18, -2*i - 12 = 2*j. Let y be j/(((-6)/(-9))/(-1)). Suppose 44 = 5*q + y*l, q - 5*q + 22 = -2*l. Solve 2*w - q*w = -20 for w. 4 Let f be 2/(-4)*(1 - 1). Let x(t) = -2*t**3 - 51*t**2 + 27*t + 27. Let z be x(-26). Solve j + f = -z for j. -1 Let z(v) = v**2 + 5*v. Let f(a) = -3*a**3 + a**2 + 4*a - 3. Let g be f(2). Let s = g - -10. Let h be z(s). Solve h + 4 = 4*o for o. 1 Let d be 2/(-9) - 66/(-54). Suppose -4*m = -0*m. Suppose -5*n + m*n = 0. Solve g + d - 5 = n for g. 4 Suppose 3*x - 100 = -5*n, -6*x = 2*n - 2*x - 54. Let k = n + -11. Let s be (6/(-4))/(9/(-24)). Solve k*t = s*t for t. 0 Let c(r) be the second derivative of -r**5/20 + 3*r**4/4 - 5*r**3/3 + r**2 + r. Let s be c(8). Let l = -7 - s. Solve -l = -2*p - 1 for p. 3 Suppose -l - 17 = 16. Let k be l/55 + 8/5. Solve 3 + k = -q for q. -4 Let c be 5/10 + (-10)/(-4). Suppose -c*n = 2*n - 5. Solve -3*l - n - 8 = 0 for l. -3 Let p(v) = v**2 - 5*v + 6. Let u be p(5). Let x be 0/(0 + -2 + 0). Let c(q) = -q**2 + 7*q - 4. Let k be c(6). Solve -u = k*n - x*n for n. -3 Suppose -5*p - 5*u + 35 = 0, 0 = -3*p + p - u + 10. Let a = -1 - -6. Let l(z) = z**3 + 2*z**2 - 3*z - 2. Let k be l(-2). Solve -a*f - p = -k*f for f. -3 Suppose -5*p + 2 = 4*k + 10, 5*p = 4*k - 32. Let i = -4 - p. Solve 4*s + 0*s + 8 = i for s. -2 Suppose 16*l - 32 = 48. Solve -l*s + 0 = 10 for s. -2 Suppose 2 = -4*a + 30. Solve 4*o - 5 - a = 0 for o. 3 Suppose 4*i + 3 - 11 = 0. Let m = -2 - 0. Let j be 11/1 + (m - -3). Solve -i*b = b + j for b. -4 Suppose -18 = -4*s - 2. Suppose -3*u - 6*l = -3*l - 21, -2*u = -5*l + 21. Suppose 4*a + u*z - 27 = z, z - 13 = -2*a. Solve -3 = s*n - a*n for n. 1 Let b(x) = x**3 + 3*x**2 - 5*x - 1. Let m be b(-4). Let c = -3 + 1. Let j = -1 - c. Solve 2*s = m - j for s. 1 Let k be 1/(-2)*2*-2. Suppose v = k*v. Let s = 1 + 1. Solve s*x = -v*x for x. 0 Let m(v) = -v**3 - v**2 - 2. Let r be m(-2). Solve 0*i - r*i - 8 = 0 for i. -4 Suppose -5*z = 4*m - 27, 4*m - z = 3*z. Solve 0*x - 3*x - m = 0 for x. -1 Suppose 7 = 5*c - 8. Solve c*u - 10 = 2 for u. 4 Suppose 5*u = 9*u - 20. Solve -2*a - u = -7*a for a. 1 Let c = -13 + 18. Suppose j + 3*s - 19 = 0, 0 = s + 2 - 0. Suppose 55 = 3*q - 0*q + 2*l, 0 = -5*l + j. Solve -c*k = -2*k + q for k. -5 Let n(f) = -f**3 + 6*f**2 - 6*f + 2. Let m be n(5). Let r be m*(2 + (-11)/3). Suppose 1 = -t + r. Solve 15 = s + t*s for s. 3 Let k(j) = -2*j. Let l be k(-3). Solve 5*q - l = -1 for q. 1 Let p be (15/6 + 0)*-2. Let n = -7 - p. Let a = n - -3. Solve a = 4*c + 17 for c. -4 Let u(d) = -d + 5. Let b(i) = -i + 6. Let h(k) = -4*b(k) + 5*u(k). Let m be h(-4). Solve c = -0*c + m for c. 5 Suppose 4*r - 2*s = 12, 0 = r + 5*s - 3*s - 8. Let z be 1/r + 477/12. Suppose 8 = -2*v + z. Solve 4*q + 4 - v = 0 for q. 3 Let i(k) = 2*k**2 - 5*k + 4. Let h be i(2). Solve -h*o + 0 = 2 for o. -1 Let k(m) = -m**2 + 9*m + 10. Let s be k(10). Solve -u - 6 + 2 = s for u. -4 Let y(l) = 15*l**3. Let n be y(1). Suppose -4*t + t = -3*d + n, -3*d + t + 13 = 0. Suppose b = -z + 13, -z + 12 = -2*b + 29. Solve -2*x - d = -b for x. 3 Let v(b) = b**3 - 8*b**2 - 3*b - 18. Let c(r) = -r + 1. Let h(x) = -5*c(x) - v(x). Let s be h(9). Solve 5*p - 4*p = -s for p. -4 Let d(f) = -3*f - 21. Let m be d(-7). Solve -o + m*o + 5 = 0 for o. 5 Let t(z) = -2 + z + 0 - 2. Let p = -11 + 19. Let a be t(p). Solve y + 0 = -a for y. -4 Let p be 0/(-4) - (-3 + 0). Solve w + 2*w = p for w. 1 Suppose -7*z + 25 = -2*z, -2*z + 22 = -3*q. Let j be 1/q - 231/(-28). Solve -2*r = -0*r + j for r. -4 Suppose -12*g = 2*g. Let r(x) = -x - 3. Let b be r(-5). Solve g = u + b for u. -2 Let f(w) = -w**2 - 9*w - 12. Let n be f(-6). Solve n = 5*k - 2*k for k. 2 Suppose -3*k + 6*p = 2*p, -5*k + 26 = 2*p. Let t be (-1)/(-4) - 1/k. Suppose -5*a + 5 = 0, -3*a = -j - t*a + 1. Solve -j = 3*z - 16 for z. 4 Let m = -6 + 8. Suppose 13*l = 18*l - 10. Solve -l*y - m = -10 for y. 4 Suppose 2 = -s - 1. Let j = s + 3. Let m(b) = b + 5. Let z be m(-3). Solve 2*p + z*p = j for p. 0 Let v be 4/(-16) - (-1)/4. Solve -2*j - 3*j + 15 = v for j. 3 Suppose 2*m - 5 = c - 26, 0 = 5*c - 2*m - 97. Suppose 0*d - 8 = -2*d. Solve -1 - c = -d*l for l. 5 Let u(c) be the third derivative of -c**4/24 - c**3/6 - 2*c**2. Let q be u(-1). Solve q*v - 8 = 2*v for v. -4 Suppose y + 5 = 4*w + 23, 3*y = -3*w - 6. Solve 0 = -2*b + 4 + y for b. 3 Let o(g) = -g**3 - 8*g**2 + 10*g + 12. Let r be o(-9). Solve -1 - 5 = r*b for b. -2 Let p be (11 + -14)*(-2 + 1). Let a = p + 3. Solve -a*u = -3*u + 6 for u. -2 Let v be (40/24)/(1/3). Solve v*m = 3*m + 2 for m. 1 Let g(a) = -3*a**2 - 9*a. Let w(n) = 10*n**2 + 27*n. Let d(r) = 7*g(r) + 2*w(r). Let m be d(-8). Solve -m - 1 = -3*l for l. 3 Suppose -3*w + 11 = -4, 0 = -5*m - 4*w + 25. Suppose -t + 4*l + m = 0, 4*t - 3 = 2*l + 1. Solve 0*g = g - t for g. 1 Let o = 5 + -3. Solve o*b = -b + 9 for b. 3
{ "pile_set_name": "DM Mathematics" }
(-6)/3)*(-1013649)/3081. 94 (52/8)/((-14014)/(-47432)) 22 Evaluate -8*-190*20/(-1600). -19 What is the value of -2*1/75*-10*(-2033)/8132? -1/15 (14/(-36))/(2436/1044)*-4 2/3 Calculate (696/(-20))/3*50/8*158/(-1580). 29/4 -11*(-30)/(-79200)*-15 1/16 What is the value of (-1948)/10227*(-273)/(-2)? -26 What is the value of ((-119990)/(-497))/(-65)*1? -26/7 Evaluate ((-12)/18)/((-22)/198*-228). -1/38 Evaluate (9315/(-92))/(-27)*(280/196)/((-9)/(-7)). 25/6 What is ((-1596)/154)/(-21*72/(-8316))? -57 (1/(30/20))/((-200)/29700) -99 What is the value of 3/(-2)*((-58)/87)/(1/(50/(-1)))? -50 (-32459)/(-384871)*4*3/84 1/83 What is the value of (-30)/((6930/4)/63)*3/1? -36/11 What is ((696/(-256))/29)/((-50)/(-16)*198/(-165))? 1/40 13*(-14)/(-182)*648/(-81) -8 What is (1/((-2)/1))/(((-46)/92)/((-115)/10))? -23/2 What is 5*((-3572)/(-4465))/(4/(-122))? -122 What is the value of ((-190)/(-19))/(-5)*(-60)/12*4/(-50)? -4/5 Calculate 21/(-20)*(421/6315)/(6/50). -7/12 Evaluate 3/12*10*25*684/(-163875). -6/23 What is the value of 3441/(-248)*(-52)/117*-6? -37 What is (-6)/(-16)*(27140/354)/46? 5/8 Calculate ((-5635)/69)/49*12/340. -1/17 388/(-97)*279/(-62) 18 What is (414/21)/((-13521)/(-63098))? 92 Evaluate ((-350)/85)/(578/(-4913)). 35 Evaluate (18744/(-11502))/(10/(-270)). 44 What is the value of -10*(-2)/6*((-175488)/14624)/((-16)/6)? 15 Evaluate (-114)/(-114)*25/4*58/2465. 5/34 190/(-190)*(-51)/1 51 What is the value of (-35)/450*((-6)/(-22))/(14/11)? -1/60 36/585*(-30)/(-4)*(-18)/108 -1/13 Calculate (-1360)/(-5304)*42/140. 1/13 Evaluate ((-594)/(-264))/(441/56). 2/7 (1712/107)/(144/45) 5 Calculate 357/(629/37)*1. 21 What is 4/(-5)*270/324*(-1278)/12? 71 Calculate ((-9)/6)/((-2)/104)*2989/(-2562). -91 Evaluate (-64)/2*(2*-3)/(-2)*5674/(-8511). 64 Evaluate (7/(-2))/(-1463*(-47)/12502). -7/11 What is the value of (63/(-63))/(20/2030*7/4)? -58 What is ((-5685)/1516)/(1*3/16)? -20 ((1*3/6)/((-51)/2091))/(1/1) -41/2 What is 5*24/12480*143*4*14? 77 What is 20/66*(-7617)/(-12695)? 2/11 What is 12844/(-51376)*2*-242? 121 (-39)/(((-503)/1509)/((-4)/6)) -78 What is the value of (185/222)/(1200/540)? 3/8 Evaluate (1*(-2)/(-32))/((-14)/(-294)*98/84). 9/8 Calculate (2/16*2)/(250/(8000/108)). 2/27 What is the value of (82/(902/(-473)))/2? -43/2 ((-33)/4)/(5760/4608) -33/5 What is the value of ((-41985)/933)/((-9)/(-3))? -15 Calculate -11*(-4)/(-14)*((-4)/(-28))/((-4620)/(-135828)). -66/5 Evaluate 47232/(-2624)*(-22)/48. 33/4 What is the value of 10*97/((-97000)/900)? -9 What is 2930/(-879)*(-2325)/(-250)? -31 6/(-9)*4459/455*5/(-2) 49/3 Evaluate (2555436/163810)/(((-5)/(-10))/((-5)/3)). -52 Evaluate ((-2436)/(-63))/(-3*(-4)/(-3)*61/732). -116 What is the value of (-24)/(-2024)*(-66)/36? -1/46 What is the value of (4444/(-2626))/(8/(-26))*18/(-33)? -3 (-1)/(2/(-10))*((-163)/489)/(15/(-27)) 3 What is the value of (2/((-16)/(-12)))/((-247875)/661)*-10? 1/25 Calculate -15*(-4)/40*2*11/(-3). -11 Evaluate (-3)/(-90)*81*10*8/8. 27 Calculate (((-80)/124*-1)/2)/6*(-1518)/(-1265). 2/31 What is the value of -1*(-15)/3*-2*15/240*-8? 5 What is the value of 1494652/40396*(6/3)/((-4)/(-2))? 37 Evaluate (-7)/42*3*(357/6)/17. -7/4 300/(-135)*((-12)/(-2))/((30/5)/(-36)) 80 What is ((-2)/(-35)*(-462)/198)/((-120)/(-36))? -1/25 Calculate -22*((-3)/((-63)/3))/(1204/(-4214)). 11 What is (-136)/28*1119594/(-47702)? 114 Evaluate 55/(-44)*2*(-3)/5*13888/(-168). -124 (3*(-32)/(-40))/((-18)/12)*15 -24 What is the value of ((-80)/(-6))/(71435/12246)? 16/7 Evaluate ((-4)/11)/(((-940644)/(-1749))/58). -2/51 ((-2823821)/(-21021))/(26/12) 62 Evaluate 253980/35275*10/(-42). -12/7 Calculate (-297*(-12)/180)/((-111)/(-185)). 33 Calculate (-6)/(-15)*(167670/(-1748))/(-243). 3/19 (165620/(-9100))/(35/(-150)) 78 What is ((-520)/39)/(-40)*29/((-116)/96)? -8 Evaluate (4/(444/(-185)))/(25/(-270)). 18 What is the value of ((-16)/4)/((-28)/(-3248)*-16)? 29 What is the value of (30/218)/3*(-234)/(-585)? 2/109 Calculate (-12441)/3003*21/(3/1). -29 What is the value of (-30)/75*(-20)/(-30)*(-15)/2*23? 46 Evaluate ((-1)/((-40)/76))/(17865/(-19850)). -19/9 Evaluate 27/120*((900/(-81))/(-10))/((-6)/9). -3/8 What is (10/18)/(5*((-22)/55)/2)? -5/9 What is the value of ((-1)/(-6))/((-5)/9*43/(-4300)*20)? 3/2 Evaluate (7/28)/((-3)/(-102)*117/702). 51 Evaluate 13*34/4641*14/(-3). -4/9 What is ((-4)/7)/(3024/(-3024)*((-6)/1113)/1)? -106 Calculate (-3)/((-96)/32*5/(-15)*87). -1/29 Calculate 31/5115*(-72)/((-216)/18). 2/55 Evaluate (26/(-13))/((-18)/5040*-20). -28 What is (-3)/9*-46*158/((-35392)/336)? -23 Calculate 40/(-6)*(-111)/(-111)*6/20*15. -30 -4*5/(-6)*6351/(-31755) -2/3 What is the value of (((-26)/(-104))/((-7)/(-3948)*-3))/(18/18)? -47 Evaluate (-36)/(-2)*(1/15)/(1466/(-80630)). -66 ((-8)/6*(-18)/300)/(417/695) 2/15 What is the value of (110/99)/(-170*(-18)/1620)? 10/17 Calculate 2*-7*2295/(-10710). 3 Calculate -27*6/18*((-1344)/(-18))/16. -42 What is (4196920/(-16142))/(13/(-4))? 80 Evaluate (517/(-705))/(63/(-189)*12/(-10)). -11/6 What is the value of (98172/360)/101*(-35)/(-168)*2? 9/8 Evaluate 4*(-60)/(-408)*(-40)/(-400). 1/17 Evaluate 13/((-158)/79*(-104)/1360). 85 What is the value of (-8)/(-1)*10/56*448/512*32? 40 Calculate (5/(-35))/(339/49833). -21 What is the value of (10*9*(-8)/168)/((-50)/420)? 36 What is the value of ((-56)/91)/((-688)/(-258))? -3/13 Calculate (10/(450/27))/((-3672)/(-720)). 2/17 26/91*(964/7230)/((-4)/455) -13/3 Evaluate ((-174)/(-5))/(189/(-315)). -58 (0/(((-18)/(-3))/3))/((-12)/2) 0 Evaluate (4/16*-3)/(((-27108)/1152)/(-251)). -8 Evaluate 2/(-4)*(1680/(-1960))/(15/1645). 47 Calculate (5/80*-270*2)/(7/84*-3). 135 (((-14448)/56)/(-43))/10 3/5 ((-5902)/19749)/((-728)/252) 3/29 (((-4940)/1885)/19)/(-2) 2/29 Calculate ((-12)/4*(-60)/90)/(2/34). 34 Evaluate (-84)/96*715/455*(-18)/(-33). -3/4 Calculate (-27)/(-2646)*-42*(-21)/(-5). -9/5 ((-236)/(-6726))/(11/1254) 4 What is -30*920/(-3200)*-2*(-6)/(-27)? -23/6 What is (-1*1)/((8*3741/(-116))/(-6))? -1/43 Calculate (-8)/30*5670/13608. -1/9 What is the value of ((-1100)/1000)/(6/45)*20/(-3)? 55 10*((-72)/3150)/(((-4)/90*-3)/(-2)) 24/7 (-3)/(-5)*153365/9948 37/4 Calculate (-24)/(-432)*-6*17/((-68)/(-672)). -56 Calculate 72/(-20)*(-6)/156*(-940)/47. -36/13 What is the value of (39/(-8))/((-1356)/(-904))? -13/4 Evaluate ((-29382)/63661)/((-1)/(-143)). -66 What is ((-68)/(-748))/(19/(-10868)*-559)? 4/43 What is ((2/1*3/6)/(-1))/((-10667)/(-565351))? -53 Calculate (40/(-28))/(((-17748)/3808)/(-29)). -80/9 (4278/7130*(-9)/((-81)/(-150)))/(-4*1) 5/2 What is (-231)/3*56/((-56)/1)? 77 What is the value of 3*((-3040)/(-2280))/((-1)/(39/(-36)))? 13/3 What is the value of ((-5016)/(-4788))/((16/(-36))/(1/((-3)/4)))? 22/7 What is ((-144)/(-33))/((-3140)/8635)? -12 Evaluate (((-11)/(-66))/(1/(-2)))/(5/4575*-5). 61 Calculate (-120)/(-225)*9280/128*-3. -116 (-42)/(-12)*(45/(-21))/5 -3/2 Evaluate (-28)/((9*2/63)/(88/(-154))). 56 What is the value of ((-5470)/4376)/((15/424)/((-9)/(-12)))? -53/2 ((-9)/(-51))/((-489)/(-326)) 2/17 Evaluate (-65)/((665/(-126))/19*(-48)/(-128)*-8). -78 Evaluate (-113)/(-791)*(-4116)/(-224). 21/8 Calculate -2*((-6)/(-15))/(12/(-1530)*6). 17 Evaluate ((-2)/33*-6)/(116142/1031877). 42/13 What is (-10*(-4)/(-176))/((70/231)/(6/(-11)))? 9/22 What is the value of (124/651)/(23/((-1104)/(-544)))? 2/119 (29/174)/((1/(-132))/(12*105/(-504))) 55 What is (-21)/(-14)*-1*(-20)/240*32? 4 What is (4/(-568))/(84*86/28896)? -2/71 What is the value of (76/(-494))/(1023/(-2418))? 4/11 Calculate 5/1*-1*(-8)/((-280)/(-399)). 57 What is -1*8/(-24)*(-17)/((-663)/13)? 1/9 What is the value of 10/45*5094/119992? 1/106 What is the value of ((-274)/(-411))/((-2)/(-11))*-3*-1? 11 18/81*9*(-5292)/216 -49 Calculate ((118508/530)/86)/(1/5). 13 What is (1/2*360/54)/(8*2/(-408))? -85 Calculate (19*13/48906)/((-4)/((-60)/(-5))). -1/66 Evaluate (12/(-5))/((-425)/((-12163500)/648)). -106 (-165)/(-18)*244/2684 5/6 Evaluate ((-36)/(-7))/(11254/39389). 18 Evaluate 1190/136*(-912)/266. -30 What is ((-55530)/(-33935))/((9/8)/((-33)/(-4)))? 12 What is ((-3)/(-97))/(-5*171/570)? -2/97 What is -2*15/40*(-740)/(-333)*-9? 15 What is the value of 14*((-850)/(-50))/(-34)? -7 What is (-250)/(-40)*(-5320)/(-950)? 35 What is the value of ((-150)/(-9))/(380/(-1900)*5/3)? -50 ((
{ "pile_set_name": "DM Mathematics" }
-18 = -4*i - 2*q. Suppose 834 = i*k + 4*k. Is 31 a factor of k? False Let x(w) = -4*w**2 - 12*w - 13. Let r be x(-2). Is 39 a factor of ((-132)/10 - r)*-5? False Suppose 111 + 9 = 8*u. Let p = 21 - u. Is -3 - (-3)/p*66 a multiple of 14? False Let c be 724/(-11) - (3 + 31/(-11)). Is 53 a factor of (-18)/99 + (-77034)/c? False Let f(t) = t**3 + t**2 - t + 1. Let r(s) = 4*s**3 - 21*s - 29. Let v(i) = 2*f(i) - r(i). Does 28 divide v(-6)? False Let o = -2594 - -544. Does 45 divide 34/(-136) + o/(-8)? False Suppose -8*f - 22 = -182. Let v be (f/(-70))/((-2)/14). Suppose 0*p = -4*r - 4*p + 216, -3*p + 104 = v*r. Does 6 divide r? False Does 47 divide (3 - 4)*-3341 + (-7 - -8)? False Suppose -4*p - 40 = -8*p. Suppose -p*z - 17*z + 4158 = 0. Does 22 divide z? True Let g(b) = b**3 - 6*b**2 - 3*b - 14. Let y be g(7). Suppose -8*n + y*n = -60. Does 13 divide (-4536)/(-22) + n/55? False Suppose 2 = -7*j + 30. Suppose q - 2*s = 185, -q - j*s - s + 199 = 0. Is q a multiple of 31? False Suppose 5*k - r = -13344 + 70558, 2*k = -5*r + 22864. Does 55 divide k? False Suppose -58*p - 12 = -61*p. Suppose -11 = -5*b + p*i, -b + 5*b - i - 11 = 0. Is 313/b - (-6)/9 a multiple of 5? True Let n be 30/40 + (-9)/(-4). Let h(z) = 13*z - 5. Let v be h(n). Suppose -v - 53 = -i. Is 29 a factor of i? True Let z(j) = 19*j**2 + 17*j - 147. Is 43 a factor of z(-26)? True Suppose 1572 = -3*s + 9*s. Let q = -134 + s. Is 2 + -2 + 4 + q a multiple of 38? False Suppose -3*n - 4*j = -1877, 0 = -5*n - j + 1375 + 1776. Suppose 0 = -2*h + n + 305. Suppose h = -3*z + 15*z. Is z a multiple of 11? False Let b(q) = -42*q**3 - 6*q**2 + 21*q + 150. Does 128 divide b(-7)? False Let q(n) = -8*n - 2*n + 15*n**2 - 6 + 3*n. Let a be (-18)/(-15)*540/162. Is q(a) a multiple of 35? False Suppose 0 = 2*h + 54 + 956. Let p = h - -161. Is 13 a factor of (p/(-20))/(2/10)? False Suppose 0 = 5*i - 11*x - 6208, 800 = 2*i + 5*x - 1608. Is i a multiple of 6? True Does 3 divide (-3)/(-12) + (-4)/(-80)*11415? False Suppose x = 5*x - 16, 0 = 5*h - 2*x - 37117. Is h a multiple of 11? True Suppose 2*g = 3*t + 339, -4*g + 3*g + 3*t + 174 = 0. Suppose -5*c = 3*a + a - g, -4*a + 3*c = -157. Does 5 divide a? True Suppose 5*b = -548 - 397. Let w = b - -301. Does 16 divide w? True Let m(t) = 2*t**3 + 14 - 10 - 5 - 2*t**2 - 3*t**2 - t. Let b(i) = -3*i**3 + 11*i**2 + 2*i + 2. Let v(o) = 3*b(o) + 7*m(o). Is 26 a factor of v(2)? False Let h(b) = -b**2 + 121*b + 81. Is 97 a factor of h(54)? False Suppose 0 = 3*k + i - 10, -2*k - 4*i + 0 = -10. Suppose 2*j + k*j - 60 = 0. Suppose -10*m + j*m = 64. Is 8 a factor of m? True Suppose 235*h - 2094650 = 1272195. Is h a multiple of 182? False Let t be (1/(-15)*-12)/((-2)/(-10)). Suppose t*a = 18 - 18. Suppose a = 2*v - 5*g - 56 + 8, 5*v - 87 = -4*g. Is v even? False Suppose 3*i + 4*y + 3771 - 14827 = 0, 4 = y. Does 9 divide i? False Let o(m) = -11*m**2 + 7*m + 9. Let w be o(4). Let d = w + 224. Suppose d + 107 = 2*h. Is 8 a factor of h? True Suppose -941346 = -15*q - 16*q. Does 126 divide q? True Suppose -16*i - 42 + 26 = 0. Is i/((-5)/855) - 3 a multiple of 3? True Let g(n) = -n**3 + 7*n**2 + n - 7. Let o be g(-3). Suppose 16 = -4*s, 2*r - 3*s + 6*s = o. Is 23 a factor of (-3*r)/(-2) + 0/2? True Let s = -65 + 74. Suppose -s*l + 135 + 153 = 0. Is l a multiple of 8? True Let u be 0/(0 + (-2 - 10)/4). Suppose u = -y + 2, 176*w - 5*y - 956 = 175*w. Does 42 divide w? True Suppose -3*g = -5*h - 6195, -5*g + 4*h + 535 = -9803. Does 5 divide g? True Let a(r) = -14 + 4 + 10*r - 12. Let i = -3685 + 3691. Is a(i) a multiple of 17? False Suppose -16*r - 31*r + 181444 = -56940. Does 15 divide r? False Let f = -12 - -20. Let g(c) = -4*c**3 - 3*c**2 - 2*c. Let q be g(-1). Suppose 0 = a + 4, -v = -0*v + q*a - f. Is v a multiple of 4? True Let t(l) = -l**2 + 20*l + 35. Let r be t(18). Let p = 70 - r. Is 5681/26 + p/(-2) a multiple of 36? False Let b(n) = -n**2 - 39*n + 1627. Is b(0) even? False Suppose 0 = -4*l - 5*u + 568, 2*l + 0*u - 284 = -u. Suppose 48*j - 47*j + 86 = 0. Let y = l + j. Does 28 divide y? True Suppose -12*n + 56*n - 289506 = 23*n. Is 156 a factor of n? False Let j = -72 + 74. Suppose 0 = j*w - 5*h + 3, -2*h = -h + 1. Is 25 a factor of 2 - 0 - (-62 - (2 + w))? False Suppose -531696 = -31*k + 175*k - 4808496. Is k a multiple of 98? False Let a(x) = x**2 - 2*x - 31. Let p be a(9). Does 12 divide (-1 - 40)*p/(-32)? False Suppose -4*s - 228 = -2*b, 3*s - 6 - 6 = 0. Is b a multiple of 2? True Let h(y) = -y**3 - y**2 + 12*y + 12. Suppose 0 = -2*s - 4*r - 28, 7 - 44 = 3*s + 5*r. Let g be h(s). Let o = 61 - g. Is 4 a factor of o? False Let x = 0 + 0. Let t be x - 242/(-2) - -2. Let f = 38 + t. Is f a multiple of 23? True Let t(v) = 233*v**3 + v**2 + 2*v - 4. Let r be t(1). Suppose 1080 - r = 2*g. Is 10 a factor of g? False Let d(i) = -i**3 + 3*i**2 + 11*i - 2. Let q be d(5). Suppose -3*m + q*x + 167 = 2*x, m - 4*x - 41 = 0. Is 20 a factor of m? False Suppose 69*w - 66*w = -30. Is 20 a factor of 5/3*(-480)/w? True Suppose -3*r - 15 = 0, 2*t - r + 26 = r. Let q(x) = -10*x - 69. Does 12 divide q(t)? False Let f(y) be the first derivative of 5/2*y**2 - 9*y + 19. Is 3 a factor of f(4)? False Let a be 116/(-24) - (-3)/(-18). Suppose -60*x + 48*x = 204. Let w = a - x. Is w a multiple of 4? True Is 18/(58740/(-3672) + 16) a multiple of 36? True Let f(n) be the first derivative of 23*n**4/24 - 10*n**3/3 + 15*n**2/2 + 20. Let j(b) be the second derivative of f(b). Is j(3) a multiple of 6? False Suppose -58 + 70 = 12*z. Let q(i) = 1385*i**3 + 2*i**2 - 5*i + 4. Is 33 a factor of q(z)? True Let b(h) = -492*h - 2388. Is 149 a factor of b(-23)? False Let w be 4*24/20 - 8/10. Suppose -4*k + 1699 = 5*x, 3*k + 422 = 4*k + w*x. Does 44 divide k? False Suppose -x = 7*q - 5815, x + 1442 + 213 = 2*q. Is 20 a factor of q? False Let s = 1656 - -142. Is s a multiple of 62? True Let w(x) be the second derivative of 15*x**3 - 185*x**2/2 + 20*x - 3. Does 60 divide w(13)? False Suppose -3785*x - 27267 = -3846*x. Is x a multiple of 119? False Let g = -9597 + 11161. Does 23 divide g? True Suppose -227 + 31 = -3*b + 4*k, -5*b + 3*k + 345 = 0. Let s = 58 - b. Let a = 31 - s. Is 14 a factor of a? False Suppose -2*t + 3*i + 71 = 0, -11*t + 59 = -9*t + i. Suppose t*g - 27*g = 1404. Is g a multiple of 50? False Let i = 5201 - 316. Is 119 a factor of i? False Suppose 0 = 2*x - 7*a + 2*a - 21958, 0 = -3*x - 4*a + 32868. Is x a multiple of 35? False Let a be 10/(-8) + 6066/72. Suppose c + a = 314. Is c a multiple of 5? False Let y = 4854 - -3330. Does 22 divide y? True Let z = -14908 + 21491. Is 165 a factor of z? False Suppose 5*u - 22 = -4*q, 0 = 4*u - q - 0*q - 5. Suppose -5*z = u*d + d - 79, 4*d - 140 = 2*z. Let b = 51 - d. Is 6 a factor of b? True Let n = -9 - 13. Let c be (-62)/n + 20/110. Is ((-2)/6)/((-2)/c)*88 a multiple of 4? True Suppose 7*y = -9*y + 3*t + 132569, 0 = -3*y + 5*t + 24870. Is y a multiple of 175? False Suppose 45*s - 40*s = 2*y + 3841, 4*s = 5*y + 3066. Does 2 divide s? False Is (-4)/(-12) - ((-34713)/27 - -6) a multiple of 13? False Suppose -4*l - 3*a = -1047, -l = 4*a - 3*a - 263. Let b = l + -165. Is 12 a factor of b? False Let n(t) = -24*t**2 + 124*t - 9 - 3*t**2 + 12*t + 1 + 5. Is n(5) even? True Let i be 1 + ((-1596)/(-1))/4. Suppose -5*j + i = 5*j. Let s = j + -32. Is 4 a factor of s? True Suppose 72*r = 3*z + 67*r - 27912, -2*z - 2*r = -18576. Is z a multiple of 24? False Let u be 2 + (-2)/((-6)/(-519)). Let k = -70 - u. Let a = 212 - k. Does 37 divide a? True Let j(x) = -23*x - 220. Let k be j(0). Is 88/k + 904/10 a multiple of 2? True Let z be 116/(-29) - (-9 - -2). Suppose 0*x + 2*x + z*p = 381, -x + 5*p = -158. Does 44 divide x? False Suppose 0 = -2*w - 2*w - 116. Let n = w + 29. Let s = n - -40. Is 11 a factor of s? False Let v = 295 + -299. Let c(j) = 5*j + 44. Is c(v) a multiple of 4? True Suppose 94*g - 2065264 = 1314882. Does 11 divide g? True Let d(h) = 4*h**2 + 17*h - 1388. Is d(37) a multiple of 89? True Let d(w) = 5 + 0 - 5*w - 5*w**2 - 3*w - 3*w**2 + 115*w**3 - 116*w**3. Let x(i) = 2*i + 1. Let g be x(-5). Is d(g) a multiple of 37? False Suppose -6*w + 4788 = 288. Suppose 0 = 5*b - w - 325. Suppose -4*m = j - b - 225, -4*m - 2*j = -444. Is 10 a factor of m? False Let h(g) = -19
{ "pile_set_name": "DM Mathematics" }
(-4455)/(-18)))/(282/1551))/(2/(-390)) -65 What is ((120/(-63))/(-20))/((-13)/182)*30/4? -10 ((27/(-42))/(192*103/11536))/(11/(-24)) 9/11 7300/2336*560/(-25) -70 ((-12)/(-168)*-4)/(33/(-28)*184/69) 1/11 What is ((-1690)/1183)/(55/7)? -2/11 What is the value of (-5353*193/122748)/(2/24)? -101 (-320)/360*(-522)/22504 2/97 1*(-2)/2*(-630)/294*-14 -30 86056/(-6246)*(-9)/18 62/9 Evaluate (-6)/9*(-95)/((-3895)/2214). -36 Evaluate (-5)/(-42*(-54)/15876). -35 Calculate (-35)/(48/64*(-20)/30). 70 (79/8)/(6/40*(-1100)/1320) -79 8592/3222*15/(-25)*15/2 -12 Evaluate (-31)/(1271/(-697))*(-10)/(-765). 2/9 Calculate (1733/15597*1*-9)/(17/4). -4/17 What is 880/(-550)*(60/(-72))/(2/6)? 4 Calculate -3*(-8)/12*3*(-17)/44625*-7. 2/125 Calculate ((21/3)/(3/(-1)))/(210/(-3600)). 40 What is the value of 6/(-49)*-7*(-1456)/(-39)*1? 32 What is the value of (-86)/129*(-2997)/74? 27 What is the value of ((-70)/84*(-180)/25)/((-63)/588)? -56 6/(-1)*2/2*12614/(-2226) 34 (112/(-8))/((-2)/(-14)*(-308)/(-44)) -14 What is 130/165*-2*11/44*-6? 26/11 Evaluate -192*(3/(-24)*8)/(2/((-10)/15)). -64 2/(((-17)/(-1))/((-272)/48*-3)) 2 Evaluate 6/(((-4088)/(-657))/(-28)). -27 Calculate 83/664*(-232)/(-3)*33/11. 29 Calculate (7/(336/(-64)))/((-100)/(-975)). -13 What is ((-30)/55)/2*-5*462/1680? 3/8 Evaluate ((-26)/(-182)*(-70)/6)/((-11)/(-660)). -100 What is the value of (((-1960)/2520)/(15/225))/(2/12)? -70 Calculate ((-21)/(-12))/((-930216)/9408). -2/113 What is (6/(-5))/(80/((-390000)/(-4095)))? -10/7 What is the value of -36*(-285)/(-950)*20/18? -12 Evaluate (15/(-6))/(48/(-5184)*-135). -2 What is (((-14)/8*(-12264)/146)/6)/((-2)/4)? -49 (72947/4904*(1*-8)/4)/(4/(-16)) 119 Calculate ((1/33)/((-4088)/(-44968)))/(((-2)/(-444))/(-1)). -74 (12240/(-54))/(-34)*42/140 2 Evaluate (-13)/(-117)*-33*(-18318)/781. 86 Evaluate 660/(-420)*2002/(-121). 26 What is the value of ((-6)/7)/(448/(-2156))*304/(-19)? -66 Evaluate (-144*(-1281)/4941)/(4/(-6)). -56 (((35/(-2))/5)/((-273)/195))/(-7) -5/14 Calculate ((-186865)/(-1710))/(-281)*27/(-14). 3/4 What is the value of (752/8836)/(16/1128)? 6 (715/1859)/((-3)/(-273)) 35 ((-44)/(-7))/((-42)/(-147))*(-57)/((-2052)/72) 44 What is (4/((-5)/(10/4)))/(56*(-28)/147)? 3/16 What is (148590/(-34671))/(30/(-196))? 28 Calculate (192/18)/(3/((-621)/46)*6/4). -32 Calculate ((-5)/(-3))/(699/2796*10/21). 14 Calculate 944/1003*12/(-24). -8/17 ((-9)/2)/(((-15318)/5520)/(-37)) -60 Evaluate (143/2860)/((6/28)/((-153)/(-17))). 21/10 What is (((-90)/(-10))/1)/(312/(-416))? -12 Evaluate 116*(-89)/(-3738)*21. 58 What is 53/((-3074)/145)*(-8)/(-12)*30? -50 ((-6293)/31)/((-392)/56) 29 What is the value of ((-35952)/(-128400))/(4/400*4)? 7 Evaluate (-107)/(-3)*(-64)/(1024/240)*1/5. -107 Calculate (-8037)/1551*143/156. -19/4 Calculate 75/(-12)*(-7424)/(-1160). -40 What is ((-19767)/(-599)*10/275)/(1/(-20)*-1)? 24 Evaluate (((-168)/(-49))/(-6))/((-20)/560*-10). -8/5 What is the value of -1*14*(-9)/126*2/(-3)*1? -2/3 Calculate (-1394)/6273*1026/4. -57 Evaluate (-58)/1392*-198*35/15. 77/4 175650/(-5855)*3*(-12)/18*4/10 24 What is (-1)/(-3)*(-3222)/(-13425)? 2/25 What is the value of (-3*1)/((-12120)/2020)*-1*1? -1/2 What is the value of (-36)/14*-2*(-8)/(-136)*119? 36 ((-4)/(-9))/(80/72*3*1023/165) 2/93 Calculate (45/35)/(-13*((-360)/105)/(-24)). -9/13 What is the value of (22/(-77)*-56)/(12/45)? 60 (((-4)/(-14))/(63/(-1029)))/((-4784)/21528) 21 (792/990)/(((-12312)/45)/12) -2/57 What is (((254/(-6))/(-1))/((-238)/(-52122)*-73))/(-1)? 127 What is ((-3)/((-48)/236))/(138/207*(-3)/8)? -59 ((5000/(-120))/25)/(((-35)/196)/(-1)) -28/3 Evaluate ((-32)/7616*-51)/((-6)/(-40)). 10/7 What is the value of 1458/1053*(-39)/12*(-32)/(-6264)? -2/87 (-116688)/352*(-22)/(-143) -51 What is (13926/(-211))/(15/(-10))? 44 Calculate (1/(-15))/(2*(-2)/12)*374702/(-8714). -43/5 ((9/(-21))/(4/(-28)))/(178/(-2492)) -42 (((-5984)/170)/88)/((-1)/(-5)*-2) 1 What is the value of (17460/(-135))/194*13/((-39)/(-252))? -56 Calculate (-86*10/(-5))/((-8)/((-140)/(-35))). -86 Evaluate (-97877)/(-7529)*(-1)/(-1222)*6. 3/47 Evaluate (1*27/405*-25)/(-5*(-1)/42). -14 243/(-864)*77/693 -1/32 Calculate (14/21)/((1216/(-57))/32)*-1. 1 ((30/6)/(-50)*3)/(((-45864)/(-390))/14) -1/28 Calculate 31/(6324/85)*(-29)/290. -1/24 What is ((-1)/(4/2))/(((-3585)/(-103248))/((-20)/(-6)))? -48 What is 168/(-392)*(-252)/486*(-6)/(-3)? 4/9 Evaluate (75/(-5250))/((-64)/224). 1/20 Evaluate (-26)/39*(4/16)/(((-290)/20)/29). 1/3 Evaluate 21/(-2)*(-24279)/(-218511). -7/6 (4/((-80)/(-54)))/(13/65*48/24) 27/4 What is (-2)/(((96/(-252))/((-40)/(-28)))/(2/12))? 5/4 Evaluate ((-213)/4970*14)/(24/(-25))*(-8)/430. -1/86 ((-294)/343)/((-41)/(-574)) -12 What is the value of ((-143220)/(-15015))/(1/13*-2)? -62 Evaluate (-9*(-70)/(-2835))/((-6)/(-297)). -11 What is ((-76)/(-76))/((-4)/56*28/(-184))? 92 What is the value of ((-2261)/15029)/(187/(-22))? 2/113 What is 10260/(-17100)*(2/(1*12/(-7)))/1? 7/10 What is the value of (69/((-31671)/(-90)))/(1*20/24)? 4/17 (20/(-3)*5)/((-41)/((-2952)/16)*3) -50 Calculate 5762/(-268)*280/(-430). 14 Evaluate 182/(-52)*2268/294. -27 ((-228)/(-34580)*-65)/((-3)/7) 1 (-3)/(-6)*-5*529/(-92)*-8 -115 Calculate (6*(-15)/(-210))/((-80)/5600). -30 What is the value of (-4)/(-5)*135/4*3486/(-2241)? -42 Calculate (-6)/135*9*5*17/(-425). 2/25 ((-12)/7)/(-1)*(-321)/3424*14/12 -3/16 41/(-451)*((-39501)/294)/57 3/14 What is ((-162)/405)/((-4)/(-5))*(-17)/((-34)/420)? -105 Calculate 95*8/24*518/740*(-4)/(-42). 19/9 Evaluate ((-2)/14)/(-38*29/609). 3/38 Evaluate (21/(-35))/(209*2/110). -3/19 ((-20)/(-14))/((6960/700)/(-87)) -25/2 Calculate (-115)/552*12*18/36*(-16)/(-6). -10/3 ((-143)/(-117))/((-5)/(-225)) 55 What is the value of (354/(-23010))/((-60)/585)? 3/20 What is (((-8910)/44)/27)/((-475)/(-380))? -6 Evaluate (-45)/((-69)/((-506)/22)). -15 What is the value of ((-1521)/52)/(27*19/(-912))? 52 Evaluate (-3)/(-4)*4160/(-468)*(-14)/((-504)/(-162)). 30 Evaluate 14/1*(-18528)/(-2895)*5/7. 64 (32/960*30)/((-3)/(-3)) 1 (-140)/7350*28/80*4 -2/75 (6/(-30))/((-2)/(-15))*((-4600)/(-5313))/(-50) 2/77 ((-47)/((-4136)/22))/(27/(-270)) -5/2 What is ((-45)/20)/((-61)/(-244))*-17*(-4)/(-12)? 51 Evaluate (-1)/((6/(-15))/((-78)/(-13))). 15 Calculate ((10/45)/((-12)/(-18)))/((-9)/45). -5/3 ((-2)/80*-1)/(((-196)/(-2205))/(8/(-12))) -3/16 What is ((-1750)/750)/((-2)/8*8/42)? 49 (6720/2520)/(4/27)*(-2)/(-4) 9 What is the value of 46*(-4)/(128/48)*4/6? -46 What is the value of (-11557)/(-102362)*1/7? 1/62 Calculate (14/(-1))/7*660/5016. -5/19 Evaluate (-94)/(-141)*-8*66/4928. -1/14 Evaluate (0/2)/1*(1860/810)/62*-27. 0 What is the value of (-2)/(-66*(-16)/(-192))*275/30*1? 10/3 Calculate (18*8/396)/(2/((-8)/((-368)/22))). 2/23 What is the value of -2*(-2)/(-7)*(-161)/(-828)*414? -46 Evaluate 32/(256/(-2472))*((-10)/25)/((-6)/(-5)). 103 What is the value of (3405/(-1362))/(5/(-8))? 4 Calculate 3/1*(-46)/(-30)*(-125)/125. -23/5 What is (252/2002)/((-59)/((-124608)/144))? 24/13 What is the value of ((-4)/14)/((((-630)/3969)/((-11)/198))/4)? -2/5 Evaluate (469152/45612)/(8/21). 27 -2*(-32)/(-15232)*-14 1/17 Evaluate (-1)/((1/(-3))/(795/(-8109))). -5/17 Calculate (320/(-1920))/((-45)/(-24570)). -91 What is 201/(-16750)*(-4840)/(-726)? -2/25 What is the value of 296/(-8288)*5*14/4? -5/8 What is the value of (3164/(-339))/(4802/49)? -2/21 (((-676)/3718)/(9/(-22)))/(-12) -1/27 What is the value of ((-90)/8*(-12)/3)/((-21377)/21377)? -45 (8820/308)/15*(-5)/35 -3/11 Evaluate (6*2/49*7)/((-510)/170). -4/7 Evaluate (5/250*-2)/(709/24815). -7/5 What is ((-24)/9*279/(-12))/(35*(-146)/(-2555))? 31 What is the value of (45*(-12)/66)/(86394/37268)? -60/17 What is the value of (18/(-8)*127*(-744)/(-779526))/(-2*1)? 3/22 18/(-27)*24/36 -4/9 What is 25119/(-5582)*8/210? -6/35 What is the value of (19/836*-8)/((-2460)/990)? 3/41 (13/(390/15))/((-15)/(93*60)*-2) 93 What is the value of (4263/145)/(1/(-20*7/(-84)))? 49 (135/36)/5*16554/(-1869)*(-14)/18 31/6 What is ((-104)/70)/((-35)/980*-8)? -26/5 What is (-8)/13*72/16*29*(-2106)/7047? 24 What is (24/(-30))/(2020/(-93425))? 37 What is ((6/11)/(-1))/((-6)/7)? 7/11 What is the value of ((-2190)/10804)/(225/(-20))? 2/111 What is ((-52)/130)/(((-32)/240)/(485/(-15)))? -97 Evaluate (-404)/808*(-5)/(25/(-460)). -46 Calculate
{ "pile_set_name": "DM Mathematics" }
what is 111555 - 31200? 40355 In base 10, what is -5639 + 92? -5547 In base 2, what is -1111111111100 + -10110? -10000000010010 In base 8, what is 43465 + -1527? 41736 In base 14, what is -2 + -27ac20? -27ac22 In base 5, what is 111303 + 10420334? 11032142 In base 10, what is 33744 + 42? 33786 In base 14, what is 15bdd6 - 94? 15bd42 In base 13, what is -10832 + -6276? -16aa8 In base 9, what is -8242 - -658? -7473 In base 5, what is 13334201404 + 10? 13334201414 In base 14, what is -381109 + 39? -3810b0 In base 15, what is -b62a4 - 166? -b641a In base 2, what is 10101010 + 110010111101001111000? 110010111101100100010 In base 8, what is -542253102 + 3? -542253077 In base 11, what is -a50 + a192? 9242 In base 3, what is 1 - -1012000111020020? 1012000111020021 In base 4, what is 2010331323310 - 11? 2010331323233 In base 5, what is 14 - 143334012? -143333443 In base 9, what is 4 - -38663065? 38663070 In base 6, what is -4304534 - -255? -4304235 In base 6, what is 43222414 - 45? 43222325 In base 15, what is 4ceb723 - 1? 4ceb722 In base 5, what is 102132034 - -141? 102132230 In base 11, what is -711 + -16767a? -168290 In base 11, what is 94091 - -110? 941a1 In base 8, what is -1 + -2767757004? -2767757005 In base 10, what is -892 + 7121? 6229 In base 14, what is b454539 - c? b45452b In base 4, what is 11000113100223 + 2? 11000113100231 In base 5, what is 11 - -40303344? 40303410 In base 8, what is -373633464 - 5? -373633471 In base 5, what is 1241104 - 2020233? -224124 In base 7, what is -5115164 - -430? -5114434 In base 2, what is -100001110 - 101110110001110? -101111010011100 In base 11, what is 35 - -1068895? 106891a In base 13, what is 1863b + -553? 180b8 In base 4, what is 110132130302033 - 10? 110132130302023 In base 5, what is -21113110241 + -20? -21113110311 In base 4, what is 21310 - -11021? 32331 In base 12, what is -57289 + -8? -57295 In base 16, what is 28c80 + -4c7? 287b9 In base 12, what is -228277 + 518? -22795b In base 8, what is 4 + -7601453? -7601447 In base 12, what is 4 - -9577a8? 9577b0 In base 13, what is 16c7 - 1a36? -33c In base 15, what is -5 + 1067010? 106700a In base 15, what is 135 + 17e3d? 18073 In base 4, what is -130123033 - -100? -130122333 In base 7, what is -31 + 12541451? 12541420 In base 13, what is 5 - 32b875? -32b870 In base 2, what is 10 - -100101000001011011000111? 100101000001011011001001 In base 11, what is 834851a4 + -5? 8348519a In base 11, what is 3 - 5639840? -5639838 In base 15, what is 7 - -1c7392? 1c7399 In base 15, what is 1600 - 189a? -29a In base 16, what is -18 + -99f95? -99fad In base 2, what is 10001110101101000000011 + -101? 10001110101100111111110 In base 10, what is -1156 - 20313? -21469 In base 6, what is -150313535 + -1? -150313540 In base 11, what is -1a159a54 - -7? -1a159a48 In base 10, what is 4 - 207008563? -207008559 In base 6, what is 33 + 42131551? 42132024 In base 6, what is -320124514101 - -2? -320124514055 In base 12, what is 1457 + 389? 1824 In base 7, what is 0 + 10360265336? 10360265336 In base 12, what is -5 - 6507b45? -6507b4a In base 3, what is -220112000220 + -10221200? -220122222120 In base 4, what is 0 + 2122120323003? 2122120323003 In base 13, what is 2 - -c1b8545? c1b8547 In base 2, what is 11101 + 100011110011110100100000? 100011110011110100111101 In base 12, what is -1538a7 + -57? -153942 In base 15, what is 4702b + -67? 46eb4 In base 6, what is 2 - 3240101202? -3240101200 In base 10, what is 1414654 - -2? 1414656 In base 15, what is 3 + -10d140? -10d13c In base 8, what is 1266571 + 163? 1266754 In base 7, what is -14566 - 6351? -24250 In base 4, what is -210122310 - -1? -210122303 In base 16, what is -1a0f2b + 3? -1a0f28 In base 5, what is 301410130 + 14? 301410144 In base 15, what is 2 + -4ee687? -4ee685 In base 3, what is -2 - -20200220020101? 20200220020022 In base 2, what is -111010000 + 111111111111100? 111111000101100 In base 2, what is -111111101 + 100001010111100? 100000010111111 In base 8, what is 16014 - -1101? 17115 In base 8, what is -3417262 + -5? -3417267 In base 5, what is 2 - 10204240031? -10204240024 In base 4, what is 200231 - -3112332? 3313223 In base 5, what is -124430120 - -4221? -124420344 In base 9, what is -53704510 - 5? -53704515 In base 5, what is 2 - 300201101221? -300201101214 In base 4, what is -330 + 113122130? 113121200 In base 2, what is 10 + -111111110011110000000? -111111110011101111110 In base 14, what is a7d - 22? a5b In base 4, what is 1032010223113 - 1? 1032010223112 In base 13, what is -6379a7 + 8? -63799c In base 16, what is 3 + -23c6400? -23c63fd In base 5, what is 1042 - 224234342? -224233300 In base 16, what is 2e89 + dfe1? 10e6a In base 8, what is 134036 - -557? 134615 In base 2, what is 1011000010010110 - 10101000001? 1010101101010101 In base 2, what is 100110001 - 10100110010000000? -10100101101001111 In base 10, what is 0 + 16771621? 16771621 In base 12, what is 101 - 22233? -22132 In base 2, what is -10110 - -100101111111010110011? 100101111111010011101 In base 5, what is -1102120023 + 1021? -1102114002 In base 12, what is -80 - 23b3a? -23bba In base 6, what is 5545031 + -2014? 5543013 In base 14, what is -b3d3c7 - 1? -b3d3c8 In base 10, what is -18437 - 24080? -42517 In base 3, what is -101 + 10002201122212? 10002201122111 In base 16, what is -294281 + 2? -29427f In base 2, what is 1110000101 - 101010110001010111001? -101010101111100110100 In base 9, what is 587 + -26502? -25804 In base 12, what is 10a8b + 289? 11158 In base 16, what is -519a - -b4c? -464e In base 11, what is 3 + -13a4496? -13a4493 In base 5, what is 21042022 + -222? 21041300 In base 2, what is 100111000001001000100 - -1111? 100111000001001010011 In base 3, what is -2002021 + 210120001? 201110210 In base 12, what is -7a56 - -1a27? -602b In base 10, what is -435114 + -152? -435266 In base 6, what is -3013132 - -4333? -3004355 In base 8, what is 5 - 46122277? -46122272 In base 7, what is -464 + 225633? 225136 In base 4, what is -2020332 - -321011? -1033321 In base 13, what is 144c - 4a? 1402 In base 14, what is -574ac4 + 2? -574ac2 In base 4, what is 10332201232 + -1112? 10332200120 In base 12, what is 1638a40a + 3? 1638a411 In base 10, what is -1456 - 2033? -3489 In base 14, what is 83ab - c72? 7539 In base 10, what is 99916 + -171? 99745 In base 10, what is 104 - -117737? 117841 In base 5, what is -10443140 - 20203? -11013343 In base 10, what is 1407 + 8186? 9593 In base 3, what is 121120222101 + 1221? 121121001022 In base 13, what is 4 - -71058? 7105c In base 14, what is -b2039865 - -5? -b2039860 In base 4, what is 2003030 + 301330? 2311020 In base 6, what is -4004332 + -2015? -4010351 In base 12, what is -210344 + -1184? -211508 In base 15, what is 2 - -b1b5a5? b1b5a7 In base 13, what is -2 - -1065267? 1065265 In base 3, what is 22210 + -101022220? -101000010 In base 7, what is -1114 - -245155? 244041 In base 10, what is 5752 + -272? 5480 In base 6, what is -5 - 410253455? -410253504 In base 10, what is 17398 - -1134? 18532 In base 4, what is -3 + -1031231222300? -1031231222303 In base 11, what is -9832247 + 2? -9832245 In base 7, what is -33 - -10044043? 10044010 In base 11, what is -2a17 - -14878? 11961 In base 4, what is -22201003021 + 1? -22201003020 In base 5, what is -14311422241 + 132? -14311422104 In base 5, what is -2030 + -111033312? -111040342 In base 6, what is -1131323 - -40001? -1051322 In base 2, what is -110111100101101000 - 0? -110111100101101000 In base 16, what is 8711e - -6? 87124 In base 6, what is -2 - 55112312? -55112314 In base 2, what is 100110010 + -1110100100110? -1101111110100 In base 2, what is -10 - -1100001100001010010101000? 1100001100001010010100110 In base 14, what is 1d + -1d1c6? -1d1a7 In base 12, what is -12 + -25812a0? -25812b2 In base 7, what is 3206 - -13136? 16345 In base 10, what is 2672 - -83580? 86252 In base 12, what is -10 - -2043a35? 2043a25 In base 14, what is -22da - -2809? 50d In base 10, what is -1 - 5504887? -5504888 In base 7, what is 215411264 + 1? 215411265 In base 12, what is 8a516 + -815? 89901 In base 10, what is 4 - 452530? -452526 In base 3, what is -1101 + 1002221121002? 1002221112201 In base 10, what is 77794324 - -4? 77794328 In base 2, what is -100 + 100110100001111001100001? 1001101
{ "pile_set_name": "DM Mathematics" }
0000 Suppose -4*q - 22208 = -4*x, -5*x + 3*q = 8*q - 27800. Let f be x/7*(-350)/2. Let w = f - -279900. What is w rounded to the nearest 10000? 140000 Let q = 73711.9870039 - 73712. Let i = -53.013 - -53. Let o = q - i. What is o rounded to 6 dps? 0.000004 Suppose -108900 = -131*c + 130*c. What is c rounded to the nearest ten thousand? 110000 Let g(v) = -120 + 3105*v**3 + 16*v**2 + 112 - 5*v**2. Let d be g(-14). Let r = d - -917972. What is r rounded to the nearest 1000000? -8000000 Let w = -21 - -23. Suppose 2*h + w*h = 5012. Let n = -547 - h. Round n to the nearest one thousand. -2000 Let n(j) = -j**2 + 2*j + 2622. Let h be n(0). Let g = 5612 - h. What is g rounded to the nearest 1000? 3000 Let l = -15.9 + -1.1. Let f = -12499.0580025 - -12516.058. Let n = l + f. What is n rounded to six dps? -0.000003 Let o = 65190 + -65217.007. Let a = o - -27. What is a rounded to 3 dps? -0.007 Let u = -229.4058 + 0.5058. Let z = u + 220. Round z to the nearest integer. -9 Let o = -184 - -183.9509. Let g = -43.1509 + o. Round g to the nearest integer. -43 Let t = -8 - -19. Let f = -11.11 + t. Round f to 2 decimal places. -0.11 Let x = 144 + -143.997865. What is x rounded to 3 decimal places? 0.002 Let x(t) = -2*t**2 - 5*t + 7. Let f be x(5). Let a = f + 92. Round a to the nearest ten. 20 Let j(g) = 6*g + 215. Let z be j(0). Round z to the nearest 100. 200 Let a be (-3510)/(-8)*(-69 + 61). Round a to the nearest 100. -3500 Let a = 8320.8154603 - 8995.81541. Let y = -675 - a. What is y rounded to 5 decimal places? -0.00005 Let m(h) = -2*h**3 - 2*h**2 + 1. Let d be m(1). Let g be (-14)/((d/12)/1). Suppose -i + 3*c + 8 = -2*i, -2*i - g = -4*c. Round i to the nearest ten. -20 Let r = -2849529917.679267 + 2890889513.6792. Let a = 41359758 - r. Let x = -162 + a. What is x rounded to five decimal places? 0.00007 Let n(h) be the third derivative of 143999*h**5/60 - h**4/3 - 5*h**3/2 + 13*h**2. Let l be n(-5). What is l rounded to the nearest one million? 4000000 Let w = 19 - 11. Let s = -6 + w. Suppose 544000 = 2*r + s*r. What is r rounded to the nearest 10000? 140000 Let a = -5.6 + 5.554. Let l = a - -0.017. What is l rounded to two decimal places? -0.03 Let g = 4 - 0. Suppose g*x - 2*x = 6. Let a be (264/(-9))/(-4)*x. Round a to the nearest 10. 20 Let u = 53 - 39. Let t(p) = -5154*p**2 + 11*p + 30. Let z be t(u). What is z rounded to the nearest 100000? -1000000 Let q = -103.1752 + 0.0752. Let x = q - -109. What is x rounded to zero decimal places? 6 Let p = 0.52 - 29.52. Let k = -29.5 - p. What is k rounded to 1 decimal place? -0.5 Let y = 0.096 - 0.11642. Round y to three decimal places. -0.02 Let i = -3.9 - 0.1. Let y = -29.3 + i. Let d = y - -35. Round d to zero decimal places. 2 Let d = -27.3 - -186.3. Let z = d - 172.2. What is z rounded to the nearest integer? -13 Let h(i) = -9248998*i**3 + 5*i - 7. Let b be h(1). Round b to the nearest 100000. -9200000 Let d = 1.6 - 1.613. Let f = 0.0130074 + d. What is f rounded to 6 decimal places? 0.000007 Let w = 2.749 - 1.087. What is w rounded to one dp? 1.7 Let v(n) = -9*n - 12. Let r(l) = -1. Let p(y) = 4*r(y) - v(y). Let a be p(-6). Let x = a + 166. What is x rounded to the nearest one hundred? 100 Suppose -49*v = -21*v + 30408. What is v rounded to the nearest 100? -1100 Suppose 0 = -0*w - 5*w + 42500000. What is w rounded to the nearest one million? 9000000 Let c = 5636314990 + -2192314900. Let g be 4/14 - c/21. Let j be g/(-8) + (-3)/6. Round j to the nearest one million. 21000000 Let l = -50.6 - 216.4. Let g = 267.129 + l. Let x = 0.12899867 - g. What is x rounded to 7 dps? -0.0000013 Suppose 2*q + 12981 = d - 122658, 4*q - 271310 = -2*d. Suppose 5*y + 672015 = 2*f, -y - d = -2*f + 536356. Round f to the nearest 10000. 340000 Let h = -15.3803765 + 15.38. Round h to five decimal places. -0.00038 Let g = 1.95 + 9.9. Let o = -12 + g. Let q = 0.1499999 + o. What is q rounded to 6 decimal places? 0 Let y be 187621 + (-1 - (3 + -4)). Let d = 3887621 - y. Round d to the nearest 1000000. 4000000 Suppose -3*b + 0*b + 625476 = 0. Suppose -708492 + b = -5*y. What is y rounded to the nearest 1000000? 0 Let u(y) = -5403*y**2 + 7*y - 4. Let d be u(1). Round d to the nearest 10000. -10000 Let y = -515123843372913 - -515124154068443.000143. Let h = y + -310695375. Let m = 155 - h. Round m to 5 decimal places. -0.00014 Let c = 47 + -48.6. Let o = c - -1.1. Round o to one dp. -0.5 Let k = -0.2135 + -558.8865. Round k to the nearest one hundred. -600 Let l = -375461 - -375618.083. Let t = l - 139.17. Let x = t + -17.8. Round x to two decimal places. 0.11 Let c = -4 + 8. Suppose -184 = 2*y + c*v, -4*y - 306 - 35 = -v. Let g = 64 - y. Round g to the nearest 100. 200 Let k = 66 + -46.6. Let d = 19.39826 - k. What is d rounded to 3 decimal places? -0.002 Let l(x) = 4*x**2 - 29*x + 35. Let w be l(7). What is w rounded to the nearest ten? 30 Let a = -836 - -835.697. What is a rounded to 2 dps? -0.3 Let q = 133.0291 - 133. Let m = -0.029607 + q. What is m rounded to five decimal places? -0.00051 Let z = 2.4 + -2.9. Let q = z + -1.8. What is q rounded to the nearest integer? -2 Let f be (-3)/((-189)/(-14)) + 544342/18. Let d = f + -130241. Round d to the nearest one hundred thousand. -100000 Suppose -p + m = -105493 + 34785, -3*p - 2*m = -212134. What is p rounded to the nearest 10000? 70000 Let s = -0.303 + 0.303355. What is s rounded to 5 decimal places? 0.00036 Let x = -197 + 196.669. What is x rounded to two decimal places? -0.33 Suppose -t - 2*b = -3249 + 8356, 5122 = -t + b. What is t rounded to the nearest 1000? -5000 Let h = -3187 + -1202. Let k = 2389 + h. What is k rounded to the nearest ten thousand? 0 Suppose 67*h + 11620 = 77*h. Round h to the nearest 100. 1200 Let y = -111.933 - -112. Let t = y + -0.168. What is t rounded to two dps? -0.1 Let h = 1.7 + 18.3. Let g = 20.00165 - h. Round g to 4 dps. 0.0017 Suppose 3*l + 2*l = 5. Let w be (-1 - 18/(-6))/(l/(-5100000)). Round w to the nearest 1000000. -10000000 Let o = 2.58 + -1.36. What is o rounded to one decimal place? 1.2 Let m = 49.24447 - -0.06553. Let v = -49 + m. Round v to 1 dp. 0.3 Let i = 2209.0000002802 - 2209. Round i to 7 decimal places. 0.0000003 Let g = -32 - -35.4. Let q = g + -3.09. Let y = q + -0.83. What is y rounded to one dp? -0.5 Let t(q) = -2*q - 67556*q**2 - 6*q - 20 + 0*q. Suppose -14*j + 19*j = -75. Let w be t(j). What is w rounded to the nearest one million? -15000000 Let a = -4510962 - -4511248.0129. Let h = 286 - a. What is h rounded to three dps? -0.013 Let r = 517429 + 442571. What is r rounded to the nearest one million? 1000000 Suppose 36 = 5*y + 11. Suppose -5*m + 8 = -3*m, 2*m + 5449992 = -y*n. What is n rounded to the nearest 100000? -1100000 Let b = 13.3788826 - 6.078897. Let n = b + -7.3. What is n rounded to six dps? -0.000014 Suppose r + 7 = 4. Let i be -3 - (38905 - 5) - r. Round i to the nearest ten thousand. -40000 Suppose 8*g = 7*g + 6775345. Let p = g - 9515345. What is p rounded to the nearest 100000? -2700000 Suppose -2*b - 3*b + 60 = 0. Suppose -5*f = -2*m + 1304 - 258, -b = -4*m. What is f rounded to the nearest 10? -210 Suppose -277610425 - 12519575 = -57*g. Round g to the nearest 100000. 5100000 Let n = 2.01 - 1.42. Let r = n - -2.51. Round r to 0 dps. 3 Let a = 374.0977533885 - -709044.7122398115. Let o = 709419 - a. Let l = -0.19 + o. Round l to six decimal places. 0.000007 Let d = -1.182 - -1.1303. Let u = -26.1517 - d. Round u to the nearest integer. -26 Suppose 25*l = 28*l + 3*a + 24615, 3*a = -15. What is l rounded to the nearest one thousand? -8000 Let m = 0.013299 - 0.0135. Round m to 4 decimal places. -0.0002 Suppose -2*b - 223248 = -91648. Round b to the nearest 1000. -66000 Let w = -0.94047 - -0.8692. Round w to three decimal places. -0.071 Let g = -0.809 - -1.447. What is g rounded to 1 decimal place? 0.6 Let q = -1632321 + -2051687. Let y = 1135992 - q. Round y to the nearest 100000. 4800000 Let p(z) be the third derivative of -31*z**5/20 + 7*z**4/24 - 5*z**3/3 - 11*z**2. Let f be p(-6). What is f rounded to the nearest one thousand? -3000 Let p = 2692727.68709 - 2692790. Let h = p + 62.673. Let b = 0.36 - h. What is b rounded to 4 decimal places? -0.0001 Let b = -1998 - -1998.000863. What is b rounded to
{ "pile_set_name": "DM Mathematics" }
3? 12 Let q(s) be the second derivative of s**4/12 - s**3/2 + 6*s**2 - 8*s. What is the remainder when q(-6) is divided by 34? 32 Let k = -14 - -22. Let t(v) = v**3 - 9*v**2 + 8*v + 9. What is the remainder when t(k) is divided by 23/5 - 6/10? 1 Let w(q) be the first derivative of 2*q**3/3 - 3*q**2/2 - 4*q - 4. Let t be w(3). Suppose t*k - 149 = 41. What is the remainder when k is divided by 10? 8 Let q = 629 - 615. What is the remainder when 81 is divided by q? 11 Suppose -22 = -24*h + 22*h. What is the remainder when (-194)/(-6) - 2/6 is divided by h? 10 Let d be -10*((-6)/(-10) + -1). Suppose -3*f + 5*g = -d*f + 17, f - 4*g = 26. Let v = 66 + -24. Calculate the remainder when v is divided by f. 20 Let k = 390 + -323. What is the remainder when k is divided by ((-81)/(-12))/(21/112)? 31 Suppose 5*g - 31 = -2*o, -3*o = -o - 4*g - 22. Let v = 5 + -3. What is the remainder when o is divided by v? 1 Suppose -6*w = -2*w - 220. Let a = w + -12. Calculate the remainder when a is divided by 23. 20 Suppose -70 + 10 = -5*z. Let x = z + -19. Calculate the remainder when (-153)/x - 3/(-21) is divided by 5. 2 Suppose -4*k - 21 = -237. Let j = -37 + k. Let y = 35 - j. Calculate the remainder when y is divided by 11. 7 Suppose -26*c + 24 = -2. What is the remainder when 3 is divided by c? 0 Suppose -3*h - 5*m = h - 23, -15 = -5*m. Suppose -5*d + h*d + 54 = 0. What is the remainder when 21 is divided by ((-4)/3)/((-4)/d)? 3 Let n = 305 + 289. What is the remainder when n/8 + (-28)/(-16) + -2 is divided by 26? 22 Let v(b) = -b**3 + 6*b**2 + b - 8. Let j be v(6). Let h = j - -34. What is the remainder when h is divided by 7? 4 Let c(a) = 2*a**3 - 46*a**2 + 20*a - 50. Calculate the remainder when c(23) is divided by 59. 56 Let v(o) = -o + 20. Calculate the remainder when v(-11) is divided by 13. 5 Let c = -346 + 430. Calculate the remainder when c is divided by 45. 39 Let q = -2211 - -2252. What is the remainder when 490 is divided by q? 39 Let n be (-6)/(-12) - ((-1038)/(-4))/(-3). Suppose 5*z - 4*z = 2. Suppose -z*s + 67 + n = 0. What is the remainder when s is divided by 20? 17 Let x = -36 - -41. Suppose 13*l - x*l = 48. Calculate the remainder when l is divided by 2. 0 Let q(x) = -12*x - 194. Calculate the remainder when q(-23) is divided by 42. 40 Let t(r) = 3*r**2 + 3*r + 2. Suppose -2*s - 2*m = -20, -2*s + 7*m + 20 = 2*m. What is the remainder when s is divided by t(-1)? 0 Suppose 5*x = 2*x + 69. Let j = -17 + x. Calculate the remainder when 30 is divided by ((-34)/4)/(j/(-12)). 13 Suppose -2*x + 2*t + 8 = 0, 0 = -4*x + 4*t - 3*t + 13. What is the remainder when (-2 + x)/2 + (-574)/(-4) is divided by 29? 28 Suppose -2*t - 4*s = -2, -t + 1 = -s - 3. Let v(c) = -c**3 - 13*c**2 + 6*c + 10. Let f be v(-13). Let g = f + 79. What is the remainder when g is divided by t? 2 Suppose -645 - 595 = -5*i + 2*h, 25 = 5*h. What is the remainder when i is divided by 32? 26 Suppose 2*h - 5*d = 558, 14*d = 4*h + 15*d - 1138. What is the remainder when h is divided by 22? 20 Let b = -69 - -71. Calculate the remainder when 46 is divided by (-2)/(b/(-50)*2). 21 Let w = -611 + 707. Calculate the remainder when w is divided by 9. 6 Suppose s + 113 = j, 3*j + 565 = 8*j - s. What is the remainder when 788 is divided by j? 110 Suppose 0 = -3*v - 2*s + 210, -350 = -5*v - 2*s - 3*s. Calculate the remainder when v is divided by 39. 31 Suppose -16*j + 592 = 16. Let o(i) = i + 3. Let k be o(-7). What is the remainder when j is divided by (-1)/k + 600/32? 17 Let k = -195 + 217. Calculate the remainder when 124 is divided by k. 14 Let l(d) = 5*d - 31. Let n be l(7). Suppose 2*y = -a + 4, a + 2*y + 44 = n*a. What is the remainder when 57 is divided by a? 9 Suppose -2*v - 2*v = 3*m - 1127, -2*m + 723 = -3*v. Suppose -p - 96 + m = 0. Suppose 7*g - 14 = p. Calculate the remainder when g is divided by 15. 11 What is the remainder when 157 is divided by -1 - 0 - 144/(-3)? 16 Let o = 37 - 57. Let f = o - -41. Suppose -f*q + 38 = -19*q. Calculate the remainder when 36 is divided by q. 17 Suppose -3*w - 9 = 0, -4*p + 5*w = -6*p + 33. Let s = 50 - p. Calculate the remainder when s is divided by 7. 5 Suppose -2*g - 4*q + 2 = 0, -2*q = 4*g - 0*q - 16. Suppose -g*m - 128 = -3*j, j - m - 37 - 3 = 0. Calculate the remainder when j is divided by 13. 10 Suppose 15*w = 19*w - 700. Calculate the remainder when w is divided by (-6 - 145/(-15))/((-1)/(-6)). 21 Calculate the remainder when (2/1)/(4/(-12)) + 1044 is divided by 80. 78 What is the remainder when (-1)/(-2)*(-702)/(-9) is divided by 31? 8 Let y be ((-2)/4)/((-1)/12). Suppose -2*r - 48 = -y*r. What is the remainder when r is divided by 4/(-32)*2*-28? 5 Let z(a) = -a**2 + 31*a + 56. Let x be z(26). Let p = x + -172. Suppose -4 = -3*j + 2*j. What is the remainder when p is divided by j? 2 What is the remainder when 145 is divided by 4/((-180)/(-939)) - 12/(-90)? 19 Let n = 85 - 67. Suppose -4*l = 5*w - 8, 5*l + 4*w = -0*w + 19. Calculate the remainder when n is divided by l. 4 Calculate the remainder when 325 + -41 + 37 + (-6)/2 is divided by 20. 18 Let d be (-310)/(-110) + 2/11. Let q(b) = 4*b**2 + 1. What is the remainder when q(d) is divided by 10? 7 Suppose -5*u + 85 = -4*n + 56, 0 = -5*u + 5*n + 30. What is the remainder when u is divided by 3? 2 Let z = 848 + -820. Calculate the remainder when 111 is divided by z. 27 Suppose 5*n + 2*q = -q - 3, 2 = -2*q. Suppose 0 = -3*a - p + 28, 2*a = -4*p - n + 12. Calculate the remainder when 79 is divided by a. 9 Let b = -2195 - -2220. Calculate the remainder when b is divided by 6. 1 Let l = 53 + 45. Let m be l/7*(-1 + -1). Let j = m + 69. What is the remainder when j is divided by 11? 8 Let v = 135 + -46. Let p = -49 + v. Calculate the remainder when p is divided by 14. 12 Suppose -3*u + 66 = 3*l, -2*u - 2*u - 110 = -5*l. Let s = 42 - l. Calculate the remainder when 79 is divided by s. 19 Calculate the remainder when 24 is divided by 20/(-8)*(-238)/35. 7 Let l be (-1 + 2/2)/(-1). Suppose l = -0*u - 5*u + 115. What is the remainder when 32 is divided by u? 9 Suppose -5*r + 20 = -3*r. Calculate the remainder when r is divided by (-15 - 0)/5 + 2 + 7. 4 Let b = 313 - 298. What is the remainder when 147 is divided by b? 12 Let i = 53 - 37. Calculate the remainder when 127 is divided by i. 15 Let i = -177 + 194. What is the remainder when i is divided by 7? 3 Suppose 2*n + 0*n = -d + 12, 4*d - 3*n = -7. Suppose -10*l = -d*l - 56. Suppose -4*c + 13 = -3*c. Calculate the remainder when c is divided by l. 6 Let c = 110 - 45. Suppose 4*z - c = 23. Let b = z + -1. Calculate the remainder when 103 is divided by b. 19 Suppose -259*c + 6440 = -252*c. What is the remainder when c is divided by 28? 24 Let r(z) = z**3 + z**2 - z. Let c = -8 - -9. Let w be r(c). What is the remainder when 85 is divided by w/(0 + (-2)/(-44))? 19 Let c = -223 - -331. Calculate the remainder when c is divided by 37. 34 Let x be (18/10)/(24*(-5)/(-400)). Let a be (-2 + -1 + 1)*-2. Let c = x + a. Calculate the remainder when c is divided by 3. 1 Let x = -322 + 335. Calculate the remainder when 258 is divided by x. 11 Suppose -2 = v - 3*m + 5, 12 = 4*v - 2*m. Suppose 4*w = 3*t + 54 + 43, 3*t - 101 = -v*w. What is the remainder when w is divided by 22/(-12)*-3 - 1/(-2)? 4 Suppose -5*c - 120 = -7*c. What is the remainder when c is divided by -31*(0 + 4/(-4))? 29 Suppose 8*u = 118 - 30. Suppose o = -3 + u. What is the remainder when 53 is divided by o? 5 What is the remainder when 76 is divided by (-9)/21 - (-5 - (-744)/(-21))? 36 Let p(h) be the third derivative of h**4/12 + 5*h**3/6 - 2*h**2. What is the remainder when 18/(-18) + (-2)/((-2)/43) is divided by p(5)? 12 Let o = 10 - 7. Calculate the remainder when 1/((-7)/(-102)) + 30/70 is divided by (0 + -2)/(o/(-6)). 3 Let u(g) = -4*g. Let q(k) = 7*k**2 - 6*k + 1. Let c be q(3). Suppose -2*t + c = 4*d, 3*d - 4*t - 17 = -2*t. What is the remainder when u(-4) is divided by d? 7 Suppose -5*k - 4*h = -161, 3*h + 30 = 2*k - 39. Calculate the remainder when k is divided by 17. 16 Suppose 112 = -4*m + 276. Calculate the remainder when 940 is divided by m. 38 Let s(v) = 5*v + 14. Let q(w) = -w. Let a(z) = 3*q(z) + s(z). Let x be a(-6). Suppose -x*f - 7 + 31 = 0. Calculate the remainder when 21 is
{ "pile_set_name": "DM Mathematics" }
undreds digit of p(0)? 1 Let n(d) = 33*d - 6. What is the tens digit of n(6)? 9 Let s(l) = -l**3 + 6*l**2 + 7*l. Let x be s(7). Suppose m + 4*q - 18 = x, -m = 5*q - 0 - 17. Let f = -6 + m. What is the units digit of f? 6 Let b be (-5)/1*(-1 + 0). Suppose 243 = -5*r - 3*c, 0*r - 4*r - 187 = -b*c. What is the tens digit of (r/28)/(4/(-42))? 1 Let b = 58 + -16. Let g = b - -37. What is the units digit of g? 9 Let o(r) = 3*r**2 + 5*r - 19. Let b(a) = -2*a**2 - 4*a + 18. Let q(v) = 4*b(v) + 3*o(v). What is the tens digit of q(6)? 4 Let i(u) = 7*u**3 - 19*u**2 + 19*u + 28 + 9*u**3 - 15*u**3 + 4*u. What is the hundreds digit of i(18)? 1 Let o = -22 - -32. Suppose 2*w = -0*w - o. Let m(d) = -d**2 - 7*d - 7. What is the units digit of m(w)? 3 Let y = -809 + 1523. What is the tens digit of y? 1 Suppose -4*d = -d. Suppose g - c - 12 = d, -3*g - 2*c + 36 = 2*c. Let z(o) = 2*o - 17. What is the units digit of z(g)? 7 Suppose -2*m - 3*f = 10, -m + 21 = 4*m - 4*f. Let t(o) = 32*o + 8. Let j(k) = 32*k + 7. Let p(r) = 7*j(r) - 6*t(r). What is the units digit of p(m)? 3 Suppose 2*z + 2*z = 4. Let h(j) = 35*j + 1. Let k be h(z). Let w = k + -21. What is the units digit of w? 5 Let h = 1402 - 1110. What is the hundreds digit of h? 2 Let b(z) = -81*z - 121. What is the hundreds digit of b(-21)? 5 Suppose 1678 = -10*w + 12*w. What is the units digit of w? 9 Let v(i) = -i**3 - 6*i**2 + 8*i - 1. Let f be v(-6). What is the units digit of (-1108)/(-7) - (-14)/f? 8 Suppose -4*o = -5*k + 13845, 0 = 2*o - 3 - 7. What is the hundreds digit of k? 7 Let n = 875 + 318. What is the hundreds digit of n? 1 Let v(p) = -2*p**3 - 8*p**2 - 3*p - 4. Let k be v(-4). What is the units digit of ((-7)/(-4) + -1)*k? 6 Let m(k) = 137*k**2 - 17*k + 33. What is the hundreds digit of m(-5)? 5 Let p = 123 - -888. What is the thousands digit of p? 1 Let d(j) = -j**2 + 6*j - 7. Let n = -9 + 14. Let x be d(n). What is the units digit of ((-1)/2)/(x/28)? 7 Suppose -2 = -3*r - 4*h, 5*r - 2*h + 8 = -6. Let k be 4/18 - (-384)/(-27). What is the tens digit of k/r*(-60)/(-28)? 1 Suppose 5*v - a - 24 = 16, -4*v = 2*a - 32. Let q = -6 + v. Suppose -q*p + 0*p + 50 = 0. What is the units digit of p? 5 Let r = -5741 - -8530. What is the units digit of r? 9 Suppose -2*p + 4*r + 14 = -110, -r = 4*p - 275. What is the tens digit of p? 6 Let l(i) = -39*i - 9. Let p(d) = 10*d + 2. Let g(j) = 5*l(j) + 21*p(j). Let y = -260 + 263. What is the units digit of g(y)? 2 Let t be (-3 - (-18)/4)*-14. Let z = 24 + t. Suppose 8 = -4*q, -z*n + 2*n + 72 = -4*q. What is the units digit of n? 4 Suppose 2*l - 1172 = -2*u, -7*l + 3*l = -2*u - 2368. What is the tens digit of l? 9 Suppose -14 = -4*b + 26. Suppose 0 = 4*c - b*c + 360. What is the tens digit of c? 6 Suppose -3*c = s - 9, 3*s - 5*c = -5 - 10. Suppose f = 4*q + 23 + 30, s = 3*f + 5*q - 108. What is the units digit of (-2 - (-3 - 3)) + f? 5 What is the units digit of (-5 + 11646/27)*3? 9 Let i = 1431 + -684. What is the tens digit of i? 4 What is the thousands digit of (-309 - 15)*(-12)/16*14? 3 Let i be 2/(-4) + (117/6 - -5). Let f = 40 - i. What is the tens digit of f? 1 Let u = 1263 + -824. What is the hundreds digit of u? 4 Let c(n) = -96*n + 2. Let m be c(5). What is the tens digit of m/(-6) + 2/(-3)? 7 Suppose 0 = 3*f - 5*b - 4, 3*b + 2*b - 17 = -4*f. Let y = -6 + 13. Suppose 0 = -f*u - y + 55. What is the tens digit of u? 1 Let a(q) = -q**2 + 9*q - 14. Let w be a(5). Let d = 55 + w. What is the tens digit of d? 6 Suppose -71*c + 94560 = -11*c. What is the thousands digit of c? 1 Let b be (-1)/((-1)/(-6))*-4. Let q = 28 - b. What is the tens digit of (-155)/(-10) + (-6)/q? 1 Let m(v) = 37*v**3 + v**2 - v - 2. What is the hundreds digit of m(2)? 2 Suppose z - 3*d + 21 = 4, -3*z - 51 = -3*d. Let a = z + 40. What is the tens digit of a? 2 Let b(w) = w**3 - 4*w**2 - 28*w - 87. What is the units digit of b(14)? 1 Suppose 0 = -5*z - t + 7552, -9*t + 6050 = 4*z - 4*t. What is the tens digit of z? 1 Let i(v) = 3*v**2 - 10*v + 22. Let x be i(14). Suppose 4*m - x = -m. What is the tens digit of m? 9 What is the tens digit of 6380/14 + 8*(-13)/(-364)? 5 What is the hundreds digit of (46 + 0)/(32/160)? 2 Suppose -33*t + 25*t = -13480. What is the units digit of t? 5 Let w(b) be the first derivative of b**3/3 - 3*b**2/2 + 15*b - 16. What is the units digit of w(9)? 9 Let r(a) = -35*a + 13. What is the units digit of r(-4)? 3 Let c = -2643 - -5332. What is the tens digit of c? 8 Let o(i) = -i**3 + 10*i**2 + 15*i - 13. Suppose -207 + 75 = -12*l. What is the tens digit of o(l)? 3 Let u(m) be the third derivative of 3*m**4/8 - 7*m**3/6 + 28*m**2. Suppose -w - 23 = -5*c + 3*w, -3*c = -5*w - 19. What is the units digit of u(c)? 0 Let j be 6/(-21) + 16/7. Suppose -100 = -j*s - 2*s. Let w = s - 18. What is the units digit of w? 7 Suppose 5*i = -15, -4*i - 694 = -22*d + 20*d. What is the tens digit of d? 4 Suppose 0*r - r = -29. Suppose f + 83 = 5*z, 2*z + 0*f + f = r. What is the tens digit of z? 1 Let m = -373 + 1492. What is the tens digit of m? 1 Let p = -115 - -174. Let l = p + 27. What is the tens digit of l? 8 Let i = 1011 + -509. What is the hundreds digit of i? 5 Let v = 993 - 199. What is the hundreds digit of v? 7 Let y(k) = 9*k**2 - 25*k + 163. What is the units digit of y(20)? 3 What is the hundreds digit of (-10)/(-2 - -4) + 401? 3 Let t = -6 - -9. Suppose t*h - 6 = 4*k, 3*k + 2 = h + 4*k. Suppose 5*m = -2*r + 11 + 100, -99 = -5*m + h*r. What is the tens digit of m? 2 Let a(t) be the first derivative of -t**4/4 - 20*t**3/3 - t**2 - 21*t + 24. What is the units digit of a(-20)? 9 Suppose 4*h - 1 = -141. Let y = h + 58. What is the tens digit of y? 2 What is the units digit of ((-20)/30)/((-1)/105)? 0 Let p be 5*((-840)/(-25))/4. Let z = -36 + p. Let b(s) = 8*s + 5. What is the tens digit of b(z)? 5 Suppose 117 = -7*k + 8*k. Suppose 9*u - k = 36. What is the units digit of u? 7 Suppose 5*r - d - 441 = 0, 301 = 4*r - 2*d - 47. Let g = -51 + r. Let y = g + -25. What is the tens digit of y? 1 Suppose -24 = -24*o + 312. What is the tens digit of o? 1 Suppose -38 = -d - 0*d. Let b be (-14)/63 - d/(-9). What is the units digit of -4 - (-8)/b - -45? 3 What is the hundreds digit of 461/3 + (-44)/12 + 3? 1 What is the hundreds digit of 528 + (-4 - 1) + (-9)/(-3)? 5 Let o(s) = -10 + s**2 + s + 3 + s. Let u be o(7). Suppose 2*x + 2*x = u. What is the units digit of x? 4 Let w(k) be the first derivative of -k**4/4 + 13*k**3/3 - 8*k**2 + 2*k + 16. What is the tens digit of w(11)? 6 Suppose 15*c - 7724 - 19066 = 0. What is the tens digit of c? 8 Let l(t) = t**2 + 20*t - 29. Let x be l(-21). Let r(y) = -17*y - 19. What is the tens digit of r(x)? 1 Let w(o) = 18*o**2 - 4*o + 21. What is the tens digit of w(5)? 5 Suppose -9*u + 11*u - 766 = 0. Suppose 4*v = -5*x + u, -54 = -3*x - 3*v + 174. What is the tens digit of x? 7 Let y = 4561 - 1443. What is the thousands digit of y? 3 Suppose -9*n + 54 = -8*n. Suppose -5*k + n = -2*k. Let i = k - -12. What is the units digit of i? 0 Let f(h) be the third derivative of 5*h**4/24 + 2*h**3 - 8*h**2. What is the tens digit of f(5)? 3 What is the units digit of 1/(505/126 - 4)? 6 Let r = 564 - 103. What is the units digit of r? 1 Let k(b) = b. Let j(m) = 42*m + 84. Let t(l) = j(l) - 36*k(l). Let i(o) = 2*o + 28. Let p(n) = -8*i(n) + 3*t(n). What is the units digit of p(0)? 8 Suppose -1 = 2*z + 9, -n - 3*z = -2621. What is the thousands digit of n? 2 Suppose 17*z = 5555 + 4322. What is the units digit of z? 1 What is the units digit of 1*(6/(-1) - -547)? 1 Let n(z) = -z**3 - z - 98. Suppose 0*r = 4*r - 4*u - 16, -3*r + 4*u + 16 = 0. Let x be n(r). What is the units digit of x/(-6) + 5/(-15)? 6 Suppose p - 26 = -22. Suppose -d - 2*j + 0*j + 71 = 0, -4*d = p*j - 280. What is the units digit of d? 9 Suppose -l - 4*j + 21 = 0, -5*l - 3*j + 0 + 20 = 0. What is the units digit of (-140)/(-2) - l/(-1)? 1 What is the hundreds digit of (-3)/(-4)*2852 + 10? 1 Let z(p) = -7*p - 39. Let g(m) = 21*m + 118. Let v(s) = 2*g(s) + 7*z(s). What is the tens digit of v(-14)? 6 What is the hundreds digit of (-974584)/(-234) - (-1)/9? 1 Let s(p) = 396*p - 653. What is the tens digit of s(10)? 0 Let l(h) = 7*h - 27. Suppose 58 = 3*x + 2*t, -2*x - 3*t - 34 = -3*x. What is
{ "pile_set_name": "DM Mathematics" }
(b) -11/4 (c) -2/9 c Which is the nearest to 2/3? (a) 0.5 (b) 184.213 (c) -12/7 a What is the closest to 3/2 in -8037, 0.1, 3, -2/75, 3/5, -5? 3/5 Which is the closest to -1? (a) 1/11 (b) 0.7 (c) 4/3 (d) -285 a What is the closest to 6/97 in -8/3, -5, -7/9? -7/9 What is the nearest to -12/7 in 4/7, 2/5, 0.19, -193? 0.19 Which is the closest to 0.5? (a) -1/7 (b) 5 (c) -460157 a What is the nearest to -163105 in -3, -2/5, -0.3? -3 Which is the nearest to -1015/9? (a) 4 (b) 22.45 (c) 3 c What is the closest to 1 in -5, 1/10, -0.120211, -1/5, -2? 1/10 Which is the closest to 3/10? (a) -601 (b) -186 (c) -59 c Which is the nearest to -87? (a) 14/3 (b) -0.04 (c) 183 (d) -4 d Which is the closest to 1? (a) 1/35114 (b) 0.024 (c) 89 b Which is the nearest to -0.2? (a) -5177 (b) 12 (c) 0.2 (d) 2 c Which is the nearest to 0.1? (a) 7 (b) -1/62 (c) -6 (d) -5 (e) 7/5 b What is the nearest to -2/5 in -1, 112, 0.116657? 0.116657 What is the nearest to 1 in 2/33, 2.6, 1/6, -149, -359? 1/6 What is the nearest to -1/2 in 1075150, -2/5, -1? -2/5 What is the nearest to 56 in 5, -8/11, 1/4, -3, 0.4, -4? 5 What is the nearest to 4 in 971/5, 2, -3/5? 2 What is the nearest to 1/2 in -0.016, -19, -2/5? -0.016 Which is the nearest to 4? (a) 7/32415 (b) -1/2 (c) 37 a What is the closest to -3 in 1/5, 296463, -8? 1/5 What is the closest to -1/91 in 22.9, -20/9, -3? -20/9 What is the nearest to -0.2 in 1/3, 5, -2, -8190? 1/3 Which is the nearest to -1? (a) 5 (b) -2/7 (c) -171478 (d) -1/7 b What is the closest to 225 in -0.2, 4, -1878, 5? 5 What is the closest to -2 in 114, 1/13, 50, -5, -3? -3 Which is the nearest to -10? (a) -3/8 (b) 5 (c) -0.1 (d) -4/3 (e) 197 d Which is the closest to 40? (a) 3 (b) 1/8 (c) 1/12 (d) -4 (e) 5 e What is the nearest to -1/5 in 1, -59, 13/2, -13, -2? 1 Which is the closest to 2? (a) -0.2 (b) 21 (c) 0.9 (d) 148 (e) 0.1 c What is the nearest to 15 in 8, -3, 60? 8 Which is the closest to -1/3? (a) -3 (b) -0.5 (c) 4 (d) 87 (e) -2/217 (f) 5 b Which is the nearest to -738.6? (a) -0.1 (b) 2/5 (c) 131 (d) 1 (e) -0.4 e Which is the nearest to 4? (a) -1501 (b) -2/3 (c) 2 (d) -17 (e) -4 (f) 1/3 c What is the nearest to -2 in 1.4, -0.08, -1007, 0, 12? -0.08 Which is the nearest to -7? (a) -0.1 (b) -1 (c) -2/3 (d) -10648 b Which is the nearest to -22/299? (a) 4/3 (b) 0.2 (c) -2/11 c Which is the nearest to -23? (a) 1058 (b) 1 (c) -0.5 c Which is the nearest to -1? (a) -586.1 (b) -0.095 (c) -1/2 c What is the nearest to 144/49 in -0.5, 4/7, -0.3, 15, -5? 4/7 What is the closest to -860/7 in -11, 4, 2/3, 21, 0? -11 Which is the nearest to 32? (a) -3/1255 (b) 1/5 (c) -2/43 (d) 5 (e) -1/6 d Which is the nearest to 0.1? (a) 4 (b) -15/7 (c) 24 (d) 3 (e) 3471 b Which is the closest to -1175.5? (a) 36 (b) 0.1 (c) 2 (d) -12 d What is the nearest to 2/465 in -6, -0.4, -0.2691, 0.06? 0.06 Which is the closest to -3/7? (a) 15/4 (b) 1 (c) -3/229 (d) -1 c Which is the closest to 0? (a) 312 (b) 2 (c) 0.4 (d) -8.175 c Which is the closest to 22473? (a) 0.058 (b) -0.4 (c) -5 a Which is the nearest to 4? (a) 0.5 (b) -1 (c) -345/8 (d) 4 (e) -88 d What is the closest to 1/10 in 2/701, -1/6, 16, 8? 2/701 What is the nearest to -6011 in 2, -0.3, 0.5, 0.3, -3? -3 What is the closest to -342.3 in 5/2, -98, 5/6? -98 Which is the closest to -0.06? (a) 3 (b) 10 (c) -1.1 (d) 0.263 (e) 0.2 (f) 0.1 f Which is the nearest to 0.2? (a) -0.03232 (b) -1/4 (c) 0.2 (d) 2 (e) -5 (f) -7/92 c What is the nearest to 2/5 in 0.3, 9/22, 2/5, -3? 2/5 Which is the nearest to -2? (a) 1863 (b) -4 (c) -6 (d) 1/4 (e) 1 (f) -0.4 f What is the closest to 2/7 in -1/70, 32/3, 0.6, -4? -1/70 What is the closest to -2/41 in 395/6, 2/3, 17/4, 2/21? 2/21 What is the nearest to 0.1 in 0.13, 2/7, 4, 5/8, -1/5, -4? 0.13 Which is the nearest to -0.3? (a) 2434 (b) 2/459 (c) -0.5 c What is the nearest to -0.09 in -2, 15, 44, 57.3, 0.3? 0.3 Which is the nearest to -233? (a) 4/9 (b) -62 (c) -2 (d) 2/11 (e) 2/13 (f) 1/8 b What is the nearest to 7 in 36, 864, 20/3? 20/3 Which is the closest to -36/11? (a) -931 (b) 2 (c) 0.3 (d) 0 (e) 9 d What is the closest to -0.99 in 2, 4/17, 171, -1? -1 Which is the nearest to -1? (a) 0.12 (b) -3 (c) 5 (d) -17/11 (e) 0.5 d What is the nearest to -0.1 in -1/4, 14417, 0.06, 1/2, -1? -1/4 What is the nearest to 0 in 2, 28, 3/2, -2/221, 0? 0 What is the closest to -1.7 in -903486, 5, -0.4? -0.4 Which is the nearest to -5994? (a) -25 (b) -7 (c) -2 a Which is the nearest to 1? (a) 67533 (b) 4 (c) -15/11 c Which is the nearest to -4? (a) 0.09 (b) 31 (c) 10.8 (d) -1 (e) 3 d Which is the closest to 0.244? (a) 8 (b) -2/81 (c) 0.1 (d) 161 c What is the closest to 0.7 in -3, -5, -1/6, 67813? -1/6 What is the nearest to 0 in 0.3, -1, -1878, 2, -9/8? 0.3 What is the closest to 0 in -2288, -4, -0.9? -0.9 Which is the nearest to -270? (a) 2/19 (b) 12 (c) 3 (d) -2590 a What is the closest to 2/5 in -0.5, -3, -0.2, 86/13, 0.4, -1/15? 0.4 Which is the closest to 234? (a) -1/7 (b) 5/182 (c) 2 (d) -3/7 (e) 7 e What is the closest to 912 in -0.5, 17/37, -6, -1? 17/37 Which is the closest to 2? (a) 1/2 (b) 1.09 (c) 4 (d) 2 (e) -2 (f) 0.011 d What is the nearest to 995 in 0.9, -280, -2/9, -12? 0.9 What is the closest to -2 in -1, -12, 0, 47, -5? -1 What is the nearest to -2 in 5/7, -7/3, -1.78, 7? -1.78 Which is the nearest to -1? (a) 5974 (b) -285 (c) 0 c What is the nearest to -25 in -0.1, 0.1, 1/6, -1245, 0.3? -0.1 What is the nearest to -0.2 in 45, 7/10, 3, -1/7? -1/7 Which is the closest to -1? (a) -3 (b) 0.4 (c) 2.65 (d) 3/38 (e) -26 d What is the closest to 0.2 in -80903, 12, 2? 2 Which is the nearest to 1? (a) 1 (b) 3/2 (c) -0.0383 (d) -11 (e) 2 a What is the nearest to -1 in -2584, -0.4, 25097? -0.4 What is the closest to -0.1 in 2/19, -366, -5, 1/4, 16? 2/19 What is the nearest to -2/71 in -4, -1/35, -195, 4? -1/35 What is the closest to -871 in -16, -2/11, -2, 1, 0.5? -16 Which is the nearest to 0? (a) 2340 (b) 2/33 (c) -80 b Which is the nearest to 1? (a) -2/9 (b) 0 (c) -0.037 (d) -1/6 (e) 9.4 (f) -0.0374 b Which is the nearest to -1761? (a) -0.5 (b) 0 (c) -422 c What is the nearest to 45.7 in 3, -8, 42.84? 42.84 What is the closest to -52 in 1, 5, 947, -6, -0.3, -0.1? -6 Which is the nearest to -4.351? (a) 1 (b) 3/7 (c) -0.3 (d) 0 c Which is the nearest to -3? (a) 8 (b) -79/62 (c) -4 c Which is the nearest to 0? (a) 12 (b) 114 (c) 1 (d) -10.1 c Which is the closest to -3? (a) -95703 (b) -2 (c) 0.3 b What is the closest to 1 in 7/8, -1/6, -340.7? 7/8 What is the nearest to -2/3 in -1331, 1, -3, -0.5, 0.33, -1/8? -0.5 What is the nearest to -20302 in 24, 9/2, -4, -3? -4 Which is the nearest to -0.1? (a) -5/2 (b) -383 (c) 67538 a What is the nearest to 0 in -4, 5, -8433, 0, 3? 0 What is the nearest to 0.1 in 0.16, 5, 25/56, 18, -1.5? 0.16 What is the nearest to 0.447 in -0.4, -2, -1/806, -0.2, 3? -1/806 Which is the closest to 0.5? (a) 160 (b) 7/5 (c) -0.5 (d) 217 b Which is the nearest to -68/5? (a) 69 (b) -1/6 (c) 2/355 b Which is the nearest to -45? (a) -3/4 (b) -2 (c) 0.23 (d) -3 (e) -1197 (f) -1/2 d Which is the nearest to 9? (a) 337 (b) 92 (c) 38 c What is the nearest to 175 in -4/9, -1/4, -6.6, 5, -20/11? 5 What is the nearest to -0.03 in 6, 170, 2/5, 0.5, -5? 2/5 Which is the closest to 1? (a) -0.4 (b) -59 (c) -0.12 (d) 3/5 (e) -7 d Which is the closest to -7/4? (a) -11 (b) -0.4 (c) -1.13 (d) -2 (e) 0 d What is the nearest to 13 in -821, 1, 0.097, -3? 1 What is the closest to -41565 in 4/3, 302, 2/17? 2/17 Which is the closest to 1? (a) -2.19 (b) 1 (c) 0.01 (d) 4/7 (e) -3/7 b What is the nearest to 1 in 19, 5, 7, -0.13, -28? -0.13 Which is the nearest to -1/3? (a) -17 (b) -43020 (c) -0.5 (d) -0.1 c Which is the nearest to 0.09? (a) 0.19 (b) -1318 (c) 5 (d) 0.2 (e) 0 e What is the nearest to -6/7 in -5, -21, 2/109? 2/109 Which is the nearest to -0.713? (a) -1 (b) 0.06 (c) 0.04 (d) 2 a What is the closest to 3.6 in -0.2, 1/3, 8/15, -4, 3, -270? 3 What is the nearest to -2 in -2/17, 0.1, -6, 0.14887? -2/17 Which is the closes
{ "pile_set_name": "DM Mathematics" }
Express -82*h**3 + 145*h**3 - 3*h**2 - 61*h**3 - 2 - 2*h + 143*h**4 + h**2 as o*h**3 + t*h**2 + y + r*h**4 + q*h and give q. -2 Express (2 + 103 - 795765*r + 795762*r)*(-3 + 4 + 4) in the form y + q*r and give y. 525 Rearrange (4*n + n - 4*n)*(206 + 385 + 1201)*(0 + 5 - 2) to the form z + a*n and give a. 5376 Rearrange 9997*g + 8491*g - 29536*g + 9445*g to the form y + c*g and give c. -1603 Rearrange 46*l + 24*l + 128*l**2 - 4 - 70*l + 143*l**2 to the form z*l + p + m*l**2 and give p. -4 Rearrange 4 + 0 + 301*s + 237*s + 163*s - 170*s to the form k*s + o and give o. 4 Rearrange 15*q**4 + 22*q**4 - 55*q**4 + 20*q**4 + 22 - 2*q + 11 + 4*q**2 to d*q**3 + v + b*q + a*q**4 + p*q**2 and give v. 33 Express (-5 + 3 + 0)*(2*c**3 - c**3 - 2*c**3)*(-228 + 386 + 6943)*(-2*c + 0*c + 4*c) in the form t*c**4 + h*c + s*c**2 + a + d*c**3 and give t. 28404 Rearrange (1 - 2 + 0)*(26*a**2 - 44*a**2 - 118*a**2)*(-2 + 2 + a**2) to the form s*a**3 + l*a**4 + c*a**2 + q + z*a and give q. 0 Rearrange -113 - 438 + 6 - 46 + 7*i**2 to the form f*i**2 + z*i + x and give f. 7 Express (-13 + 4 - 2)*(-1 - 2*z + 1) + 38*z - 60*z - 70 + 24*z as g + a*z and give g. -70 Express 5639*m**2 - 18471*m**2 + 2*m**3 + 3798*m**2 + 4742*m**2 as v*m**2 + i*m + u + p*m**3 and give u. 0 Rearrange 78*a**2 + 155 - 22*a**2 - 39*a**2 - 27*a**2 + 128 to u*a + h*a**2 + c and give c. 283 Express (1 - 2 + 3)*(34*u + 26*u - 7*u)*(-37 + 5 + 898*u - 900*u) as h*u + y + v*u**2 and give v. -212 Express -y + 5 - 5 + (3*y + 2 - 2)*(1 + 1 + 1) + 403 - 2*y - 391 - 4*y as d + h*y and give d. 12 Rearrange -10*a**3 + 7*a**3 - 16 - 37*a**2 + 36*a**2 - 5*a + 2*a - 3*a to k*a**3 + r*a**2 + y + u*a and give u. -6 Rearrange -863 - 67 + 59 - 179 - v to q*v + c and give q. -1 Express -124*x + 368*x - 11 - 112*x - 141*x as y + l*x and give l. -9 Express ((3*b - 7*b + 3*b)*(3 - 2 + 1) - 3*b + 5*b + b + (3*b - 4*b - b)*(2 - 2 + 2))*(-1042 + 148 - 518 - 754) in the form o*b + z and give o. 6498 Express 30 + 3*g**2 - g**3 - 1193*g - 1200*g - 1199*g + 0*g**2 + 3589*g as m*g**2 + i + q*g + b*g**3 and give i. 30 Express (-1722 - 576 - 1655 + 67)*(5*d**2 + 2*d**3 - 5*d**2) in the form c*d**2 + i + z*d**3 + j*d and give z. -7772 Rearrange -8551*y**2 + 2*y**3 + y**3 + 4659*y**2 + 4250*y**2 to the form w*y**3 + u*y + o + t*y**2 and give t. 358 Rearrange 4504 - 27*s**3 - 74*s - 2255 - 2248 to u*s**3 + p + r*s + c*s**2 and give r. -74 Express (117*d + 18*d - 59*d)*(11*d - 38*d - 38*d) in the form c + h*d**2 + s*d and give h. -4940 Rearrange -1078730 - 3*b - 2*b**2 + 1081711 + 2*b to the form o*b**2 + i*b + z and give z. 2981 Express 31*l + 26*l - 41*l**4 + 39*l**4 + 3 in the form b*l**3 + s*l**2 + x*l**4 + o + u*l and give x. -2 Express (-2*u**4 + 0*u + 0*u)*((-201 + 422 + 221)*(-1 - 3 + 2) + 4 - 4 - 5) in the form o*u**4 + s*u**3 + z + v*u**2 + x*u and give o. 1778 Rearrange (466*r - 802*r - 479*r)*(-13 - 15 - 3 - 7 + 1) to the form w*r + f and give w. 30155 Rearrange 8519*v + 11714*v + 2976*v to i + h*v and give h. 23209 Rearrange -323 - 2*h**2 + 3849*h - 11550*h + 3851*h + 3850*h to j + f*h + m*h**2 and give j. -323 Rearrange -3 + 4*c**3 - 182690*c**2 + 15*c - 3*c**3 + 182698*c**2 + c**4 to the form b + k*c**3 + j*c**2 + n*c + o*c**4 and give b. -3 Express 2*d - 12*d**2 - 2*d + 30*d + 45*d**2 - 2 + 15*d - 44*d + (-d - 2*d + 6*d)*(0*d - 7*d - 2*d) in the form r + s*d**2 + l*d and give r. -2 Express ((3 - 5 + 0)*(-102*q + 49*q + 9*q) + 6 - 4 - q - 8)*(-5*q - q + 3*q)*(-4*q**2 - 5 + 5) in the form r*q**4 + n*q + g*q**2 + a + h*q**3 and give g. 0 Rearrange (379 + 379 - 761 - 141*s**2)*(-1 - 4 + 4) + (-1 - 2*s + 1)*(0*s + 0*s - s) + 88 - 88 + 26*s**2 to o*s**2 + w*s + n and give n. 3 Express -44 + 41 + 2*z**2 + 2*z**3 - 9*z - 4*z**3 + 11*z**4 + 6*z in the form o*z + r*z**2 + s + x*z**3 + y*z**4 and give o. -3 Rearrange 319*y - 654*y + 469 + 334*y to m*y + p and give p. 469 Express 305*t + 138*t + 169*t - 3 in the form x*t + c and give x. 612 Express (1 - 1 + 2*r**3)*(r + 3 - 3) + 959*r + 956*r - 2877*r + 7248*r**4 + 962*r as j*r**2 + v*r**3 + p*r**4 + u*r + x and give p. 7250 Express (2*p**2 + 3*p**2 + 10*p**2)*(111*p**2 + 3 - 215076*p - 26*p**2 + 215079*p) as d*p**3 + b*p**4 + l + a*p**2 + i*p and give b. 1275 Rearrange -22 - 31 + 54 - 27*n + 29*n + 43*n**2 to the form x + z*n**2 + i*n and give x. 1 Express (4 - 4 + 1)*(-1 + k + 1)*(0*k + 5*k - 2*k) + 466*k + 27*k**2 + 464*k - 933*k + 2 as s*k + p + q*k**2 and give p. 2 Express (5 + 4 - 6)*(-k + k - 89*k**2) + (-3*k + 2*k + 3*k)*(-4*k + 4*k + 2*k) in the form b + g*k + a*k**2 and give a. -263 Rearrange -31626*a**2 - 380 - 2*a**4 + 1 + 6*a + 31624*a**2 - 2*a - 2*a to q*a + w*a**4 + r + b*a**2 + y*a**3 and give b. -2 Express -3*m + m + 3*m + (-37 + 11 - 6)*(64*m + 1400*m + 576*m) as c + g*m and give g. -65279 Rearrange -129 - 4*q**2 + 7*q**2 - 3 - 197 to the form x + p*q**2 + o*q and give x. -329 Express 751*f**3 + 19 - f**2 + 0 + 758*f**3 - 1481*f**3 - 2*f**2 as u*f**3 + g*f**2 + v*f + j and give u. 28 Rearrange (50 - 43 + 29)*(-o**2 + 0*o**2 - 3*o**2)*(3 - 4*o - 3) to the form w*o**2 + v*o**3 + z*o + p and give v. 576 Rearrange (0 - 3 + 4)*(0*f - 5*f + 2*f)*(-45*f**2 + 17*f**2 + 11*f**2) + 3 - 28*f**3 + 0 - 4 to the form a*f + c + y*f**2 + p*f**3 and give p. 23 Rearrange (-5394*q - 148 - 100 + 5395*q)*(-347*q - 23*q - 159*q) to the form b*q + m + n*q**2 and give b. 131192 Express 86002*w**2 - 86003*w**2 + w**3 + 2 - 6 - 233*w in the form o*w + t*w**2 + z*w**3 + j and give t. -1 Rearrange (21 + 24*r - 3 - 16)*(36 - 36 - 6*r)*(-r + 3*r - 4*r)*(-r + 3*r - r) to a*r**2 + w + c*r**4 + z*r**3 + i*r and give i. 0 Rearrange -2*o**3 + 34*o**2 - 27 + 13*o + 33*o**2 - o**3 + 2*o**3 - 64*o**2 to i*o**2 + m*o + u + y*o**3 and give m. 13 Rearrange 3 + 2 - 699*d - 2324*d - 5 to o*d + v and give o. -3023 Rearrange -c**3 - 92*c**2 + 85*c**2 + 8 + 28*c + 3*c**2 to h + x*c**3 + o*c**2 + l*c and give l. 28 Express -150*m**2 - m - 50*m**4 - 3 + 23*m**4 + 66*m**2 + 25*m**4 as s*m**2 + w*m**4 + n*m + b*m**3 + d and give s. -84 Express (36*n**2 - 3347*n - 3353*n + 6689*n)*(-2*n - 290 - 7*n + 290) in the form y*n + p + h*n**3 + z*n**2 and give h. -324 Express -691*a**3 - 695*a**3 + 2771*a**3 + 22 - 692*a**3 - 696*a**3 - a in the form o*a + g*a**2 + x + w*a**3 and give w. -3 Express 888*g**2 + 33*g**3 - 1779*g**2 + 895*g**2 + 2 + 17*g**3 as w*g**3 + v + h*g + d*g**2 and give w. 50 Rearrange 0 - 2990*r**2 - 6168*r**2 + 0 + 15455*r**2 to m*r**2 + l + u*r and give l. 0 Rearrange -2*q + 0*q + 3*q + (2*q + 2*q - 2*q)*(1 + 4 - 4) - 16 + 16 + 7*q + 8*q - 3571 + 3571 to the form a + j*q and give j. 18 Express -51 - 426*r - 177*r + 1 + 52 in the form x*r + f and give f. 2 Express -s**2 + s**2 + 2*s**3 + (28*s**2 + 12641 - 12641)*(26 - 4*s - 26) in the form q + m*s**3 + b*s**2 + t*s and give m. -110 Express -6*g**4 + 279*g - 7*g**2 + 2 + 11*g**2 - 2*g**3 - 287*g in the form r*g**2 + k*g + y*g**3 + q*g**4 + d and give k. -8 Express -3*c**3 - 4*c + 4*c**3 - 6*c**4 + 5*c**4 + 3*c**4 - 11*c**2 + 0*c in the form g*c**3 + r*c**4 + z + q*c + w*c**2 and give q. -4 Rearrange -148*d**3 + 72*d**4 - 2 + 305*d**3 - 156*d**3 - 25*d**2 + 25*d**2 - 30*d to the form k*d**2 + x*d**3 + p*d + s + a*d**4 and give s. -2 Rearrange -64*u + u**2 - 346 + 3*u**3 + 688 + 2*u**3 - 343 - 7*u**3 to the form l*u**2 + w*u + b*u**3 + i and give b. -2 Express ((g - 1 + 1)*(2 + 1 - 1) + 73 - 8*g - 73 + (3*g + g - 3*g)*(1 - 4 + 1))*(41 - 24 - 23) in the form c*g + n and give c. 48 Express (6*m - 9*m - 6*m)*(3*m - m + m)*(-269*m - 30*m - 245*m) as u + h*m**2 + d*m**3 + b*m and give d. 14688 Rearrange (12303*s + 14159*s - 20004*s)*(0*s**2 - s**2 - s**2) + s**3 + 2*s**3 - s**3 to b*s + n*s**2 + c*s**3 + h and give c. -12914 Rearrange -27*o**2 - o + o - 385*o**2 + 1 - 48*o**2 to the form r*o + w + n*o**2 and give w. 1 Express -2*b + 2*b - 2*b**4 + (47 - 47 - b**3)*(1 - 1 - 12*b) in the form i*b**2 + v*b + j + f*b**4 + a*b**3 and give f. 10 Express 139*i**2 - 154*i**2 - 7*i - 2924*i**4 + 2934*i**4 in the form b*i**2 + t*i**4 + j + c*i**3 + o*i and give o. -7 Express (193*k - 11374*k + 192*k - 5625*k)*(0*k**3 - 2*k**3 + 3*k**3) as h + t*k**3 + r*k**4 + q*k**2 + o*k and give r. -16614 Rearrange (28*b - 431*b + 3 - 249*b - 3 - 1)*(-7*b - 6*b + 0*b) to the
{ "pile_set_name": "DM Mathematics" }
= j*b + 12, -4*i = -b + 4*b + 12. Solve i = -2*k + 3*k - 3 for k. 3 Suppose 40 = 4*p - 3*r, 0 = -p - 10*r + 8*r + 10. Suppose -2*g = -2*q - g + 9, 5*q - g - 21 = 0. Solve q*t = -t - p for t. -2 Suppose 0*g = -3*g + 9. Let s = -764 - -768. Solve g = -s*n - 1 for n. -1 Suppose 0 = 20*x - 19*x + 4. Let l(z) = z**3 + 4*z**2 + 2. Let j be l(x). Suppose j*y = -0*y - 2*k + 22, 35 = 4*y + k. Solve -y = -4*a - 0 for a. 2 Suppose 45*d - 26*d - 38 = 0. Solve d = -10*x - 48 for x. -5 Let i(p) = -p**2 + 10*p + 302. Let r be i(23). Solve 18 = -r*k + 15 for k. -1 Suppose -4*r = 2*r + 54. Let x(z) = -z**3 - 9*z**2 - 3*z - 11. Let o be x(r). Solve 2*u - o = 6*u for u. -4 Let y(j) = j + 7. Suppose -4*x + d - 17 = 0, x + 20 = d - 6*d. Let w be y(x). Suppose 2*z - 16 = -w*z. Solve -z*a + 10 = -2*a for a. 5 Let u be 2 - -1*(-3 - -1). Suppose u = 4*z, -4*g + 2 = z - 38. Let f = g - 8. Solve 0 = -f*p + 5*p + 9 for p. -3 Let u be 6/4*(1 - -7). Suppose -4*m - u = -7*m. Suppose -4 = -m*y + 8. Solve 0*v + 6 = y*v for v. 2 Let k = 10 - -7. Let u(g) = -4*g**3 - g**2 - 2*g - 3. Let o be u(-2). Let t = o - k. Solve i = -2*i + t for i. 4 Suppose -5*y = 5*g, -g - y = 4*g - 8. Let u be (3/2)/((-9)/(-204)). Let j = 34 - u. Solve j = 2*a + g*a + 4 for a. -1 Let c(v) = 44*v - 127. Let k be c(3). Solve k*q + 11 + 4 = 0 for q. -3 Let v(l) = 4*l - 30. Let x be v(8). Let b be (-3 - -3)/(x/2). Solve b = 4*i + 1 - 5 for i. 1 Let n = 75 - 77. Suppose 3*a - u = a + 10, 3*a - 9 = 3*u. Let b = n + a. Solve p + 4 = b*p for p. 1 Let z be (-3 + 0)*1/(-3). Solve 19 + z = -5*v for v. -4 Let y be -14*(2/(-4) + (-3 - -3)). Suppose 5*z - y*z = -4. Solve 6*h = z*h - 20 for h. -5 Let t = 18 + -8. Suppose -j - l + 12 = 0, 2*l + t - 41 = -3*j. Let r be (16/7 - 2)*j. Solve -r*m + 1 - 7 = 0 for m. -3 Let v be (2/(-4))/((-3)/(-78)). Let s be v + 6 + -2 - -1. Let g = s - -12. Solve -5*u = 16 + g for u. -4 Let f = -782 - -786. Solve f = 2*s + 6 for s. -1 Let y = 111 - 102. Let t be 0/1 + 6 + -1. Let i = y - t. Solve 0 = -i*w - 19 + 7 for w. -3 Let m(s) = s**3 - 2*s**2 - 2*s - 1. Let t be m(3). Solve 2 = 3*b - t*b for b. 2 Let y = -599 + 612. Solve 13 = -y*w - 39 for w. -4 Let r be 4 + -1 + (7 - 5). Solve -12*z = -r*z + 28 for z. -4 Suppose 0 = q + 3*b - 23, 4*q = -0*q - 3*b + 110. Let o = 141 + -97. Let v = o - q. Solve 7*i + v = 4*i for i. -5 Suppose 12*j = 9*j + 24. Solve 4*h - 6*h - j = 0 for h. -4 Suppose 0 = -n - 135*i + 132*i + 5, -2*n = i - 30. Solve -n*u + 13*u = -20 for u. 5 Suppose 9*c - 268 = -70. Solve 18*m - 20 = c*m for m. -5 Suppose 2*h = 4*l - 10, 11*h = -5*l + 9*h - 10. Solve 2*x + 4 = -l*x for x. -2 Suppose -3*b - 252 = -3*t - 2*b, 181 = 2*t - 5*b. Let u = t + -82. Solve -4*v + 15 = -u for v. 4 Let f = 537 - 521. Solve -y = 3*y + f for y. -4 Let j be (120/(-18))/((-14)/21). Solve 14*o + 20 = j*o for o. -5 Let s be ((-58)/4)/(5/(-10)). Let w = s - 25. Solve 2*p - p - w = 0 for p. 4 Let t(f) = 3*f**2 - 3*f + 2. Let i(y) = -y**3 + 4*y**2 - 5*y + 2. Let m be i(3). Let g be 0/3 + -2 - m. Let o be t(g). Solve 0 = 2*j - o - 0 for j. 4 Let b(p) = p**3 + 13*p**2 - 19*p - 65. Let h be b(-14). Solve -h*o = -0*o - 15 for o. 3 Let g = -4 - 11. Let z be 68/(-20) - 6/g. Let d(t) = -2*t - 2. Let i be d(z). Solve -3*y = -i*y for y. 0 Suppose -15*y + 13*y + 6 = 0. Suppose 2*c + 5*l + 7 = -0*c, -4*l = 3*c. Suppose -y*m = c - 10. Solve 0 = -m*h - h - 6 for h. -2 Suppose 28*q = 9*q + 57. Solve -13*f = q - 3 for f. 0 Suppose x + 2*x = 0. Suppose 2*i + 4*a + 10 = -0*a, x = -2*i + a + 15. Suppose 4 = 2*r + 2*r - f, i*r + 8 = -2*f. Solve -2*v + r*v - 6 = 0 for v. -3 Let d be (-2 + 1)*(-1 + -4). Let u(l) = -2*l**2 - 11*l - 5. Let w(q) = -8*q + 4. Let m be w(1). Let i be u(m). Solve -22 = -d*f - i for f. 3 Suppose -5*t = i - 25, 0*i = 5*t + 4*i - 25. Suppose -2*o + t = -19. Solve 2*h - o = -2*h for h. 3 Let n = 12 + -12. Suppose n*l + l = -5*u + 23, 0 = -u + 4*l - 8. Suppose 0 = u*s - 2*y + 4*y - 10, -2*y + 10 = s. Solve -f + 2 + s = 0 for f. 2 Let t = 22 - 13. Suppose -3*q + 93 = -5*a, 4*q + 4*a - 89 = -a. Let c = -24 + q. Solve k + c*k = t for k. 3 Let h be 220/24 + 3/(-18). Suppose d = 6*d + 4*j - 80, -d = -2*j - 16. Let f = d - h. Solve f - 27 = 5*i for i. -4 Let x be 6 - (120/12 + -4). Solve x*f - 50 = 25*f for f. -2 Let m(u) = -u + 12. Let o be m(9). Suppose -2*r = o*r. Let i(d) = 12*d - 92. Let z be i(8). Solve 3*y + z + 11 = r for y. -5 Let r(c) = -c**2 + 6*c - 3. Let w be r(5). Suppose -n - 1 = -w. Let j be 4 + 0 + (-1 - n). Solve j*z = -2*z + 12 for z. 3 Let r be 2*3/(-6) + 6. Let p be (-4 - -8 - 4)/(-5). Solve p = r*l - 3*l - 8 for l. 4 Let x = -73 - -75. Suppose p + 2*p = 3*c - 24, 5*c + x*p = 5. Solve 2*v = c*v for v. 0 Let q = -27 + 61. Let c = q + -20. Solve -5*k + 1 = -c for k. 3 Suppose -253 = -24*l + 83. Solve -3*c = 29 - l for c. -5 Let g(b) = -3*b**3 - b**2 + 6*b + 5. Let d be g(-2). Solve -d = -3*t - 28 for t. -5 Suppose -15*m + 11*m - 284 = 0. Let g = 93 + m. Let z = 7 + -4. Solve 5*p = -z - g for p. -5 Suppose 5*w + 5*o = -0*w + 175, -2*w = -5*o - 77. Let v be 9/(w/(-16)) + 5. Solve -6*i = -5*i - v for i. 1 Let t(g) = -9*g**2 - 4 - 1 + 5 - g**3. Let n be t(-9). Let f = 3 + n. Solve -o + f = -4*o for o. -1 Let h(s) be the third derivative of -s**5/60 + 7*s**4/12 - 7*s**3/3 + 8*s**2. Let n be h(12). Solve 5 = -5*x + n for x. 1 Let m be (-6 - -2 - -4)/(-2). Suppose 5*x - 2 = u - m, -4 = 2*u. Solve 0 = -x*t - 5*t + 15 for t. 3 Suppose -9 = -3*g - 3*z, -4*z + 16 - 4 = 0. Suppose -2*c - 1 = r, -5*r = -9*r - 4*c. Solve i - 5 + r = g for i. 4 Suppose 11*k - 53 - 57 = 0. Suppose 0 = -2*o + 10 + k. Solve -w - 4*w + o = 0 for w. 2 Let f(v) = v**2 + 16*v + 56. Let s be f(-16). Suppose 0*q = -4*q + u + 84, -3*q - u + s = 0. Solve q = -6*a + 2*a for a. -5 Suppose -145 - 275 = 4*n. Let q = 106 + n. Solve -k - 2 - q = 0 for k. -3 Let s(c) = 2*c - 38. Let r be s(0). Let w = r + 40. Suppose 0 = -0*n - w*n. Solve 2*u - 6 = -n*u for u. 3 Let d = 2 + -1. Let k = 137 - 131. Suppose -3*h + k = -h. Solve d + h = o for o. 4 Let d(l) = l**3 + 9*l**2 - 11*l - 5. Let f be d(-10). Let w(m) = 3 - 5*m**2 + 2*m**3 - m**3 - 19*m + 21*m. Let z be w(f). Solve -4*c = z + 3 for c. -4 Let z be 106/36 + (-15)/(-270). Solve -z*a - 13*a + 64 = 0 for a. 4 Suppose 2*q = -0 + 16. Let w(l) = 2*l**3 + 2*l**2 - 4*l + 2. Let h be w(1). Suppose 3*f - 8 = -d + 7*f, -h = -4*d + f. Solve d = 4*m - q for m. 2 Suppose -4 = 3*u - 79. Suppose -3*q - 3*m + u = 2*m, m = 2*q - 8. Solve -q*f + 1 = -6*f for f. -1 Let j(g) = -g**3 - 6*g**2 + g + 4. Let c be j(-6). Let t be (-2)/c + -3 + 6. Suppose -n = -t + 2. Solve 0 = 4*k - n*k + 6 for k. -3 Suppose 4 = 2*g - 4. Suppose -5*j = s + 20, -3*s + s + g*j + 16 = 0. Let p(w) = -w**2 + w + 4. Let o be p(s). Solve 5*r - r + o = 0 for r. -1 Suppose 6*l - 47 = -11. Suppose 4*c - p + 12 = 3*p, 0 = c - 2*p + l. Solve c*n = -5*n - 15 for n. -3 Let j(o) = 2*o - 6. Let n be j(4). Suppose -4*l = 4*p - 20, 5*p = -l - 0*l + 25. Solve l = -q - q - n for q. -1 Let d = 184 + -169. Solve 16*o = d*o + 2 for o. 2 Let g(r) = r - 11. Let d be g(13). Suppose -p + 5*p = 0, -d*f + 8 = -p. Let y = -18 - -34. Solve -f*w - y = -0 for w. -4 Suppose 7*q - 8*q + 4 = -2*x, -4*q + 40 = 4*x. Solve q*j - 20 = 13*j for j. -4 Let m = -41 + 68. Let d = m - 23. Solve -d*f - 15 = -f for f. -5 Let h = 77 - 52. Suppose 5*n - h = 4*z, 5*n - 8*z + 3*z - 25 = 0. Solve 11 + n = 4*d for d. 4 Let v be ((-18)/15)/((-1)/5). Let l(z) = -z**3 + 6*z**2 + 10. Let x be l(v). Solve -x = -4*j + 6 for j. 4 Let y be (42/(-30))/(2/(-10)) + 3. Solve y*r = 7*r - 12 for r. -4 Let k = 550 + -550. Solve k = -5*s + 90 - 100 for s. -2 Suppose 4*w = 7*w - 2*s - 2, -4*w = -2*s - 2. Solve 2 = -2*l - w*l for l. -1 Let f(m) = 3*m - 11. Let w be f(11). Suppose w = 8*d - 2. Solve d*s - 2*s + 1 = 0 for s. -1 Let k be -2*(333/(-18) + (-18)/(-3)). Solve -k = q - 6*q for q. 5 Suppose 0*r + 108 = -3*h + r, 4*r = 12. Let g = 38 + h. Solve g*d - 6*d + 12 = 0 for d. 4 Let m = 3171 + -3167. Solve -3 = -m*y - 23 for y. -5 Suppose 0 = 4*y + 3*g + 39, -4*y = -y + 5*g + 43. Let s be (5 + -4 + 1)/(y/(-3)). Solve 2*c - 1 - s = 0 for c. 1 Let o(j) = 0*j**2 + 0*j**2 - 2*j**2 + 20*j + 21 + j**2. Let u be o(21). Solve u*d + d = 5 for d. 5 Suppose -2*p = -a - 0*a - 57, 0 = -a + 1. Solve -p*l
{ "pile_set_name": "DM Mathematics" }
*m + 4*p, -m + 2*p + 62 = 20. Calculate the remainder when r is divided by m. 15 Let b = -38 + 3. Let q = 38 + b. Suppose 2*p = -q*p - 4*w + 117, 0 = -2*p - 5*w + 57. Calculate the remainder when p is divided by 8. 5 Let r be (-5 + (1 - -14))/2. Suppose 3*n = -r*i + 83, 0*i - 4*i + 59 = -5*n. Calculate the remainder when 238 is divided by i. 14 Suppose -42*g + 46*g = -4*x + 340, -3*g + 257 = 4*x. Calculate the remainder when 526 is divided by g. 28 Calculate the remainder when 509 is divided by (((-480)/1800)/(2/(-159)))/((-2)/(-10)). 85 Suppose -7*h + 4*h - 10 = -d, -5*h = -4*d + 5. What is the remainder when ((-1)/(2 + h))/(47/9729) is divided by 18? 15 Suppose -16 = 200*u - 202*u. Let d = -24 + 43. Suppose 5*o - 56 - d = 0. What is the remainder when o is divided by u? 7 Suppose -20 + 84 = 3*u + i, 2*i = -4*u + 86. Suppose -u*z - 588 = -33*z. What is the remainder when 194 is divided by z? 47 Let j be (13 - 3)*(-1)/2. Let g(m) be the third derivative of -m**5/60 - 3*m**4/8 - 7*m**3/6 - 4*m**2. Calculate the remainder when 24 is divided by g(j). 11 Let p = 2144 - 2136. Let u = 1 + 2. Suppose 0*v + u*v = b - 18, -2*b + 58 = 5*v. What is the remainder when b is divided by p? 0 Suppose -24 = -43*z + 39*z, z = -5*d + 21481. Calculate the remainder when d is divided by 20. 15 Calculate the remainder when 14*(-45)/(-105) - 2/((-6)/12915) is divided by 13. 8 Suppose -148 = -5*d - 3*y, 2*d + 10*y - 7*y - 52 = 0. Calculate the remainder when 245 is divided by d. 21 Let w = 6296 - 5779. Calculate the remainder when w is divided by 76. 61 Let d = 1 - -72. Let h = 30 + -45. What is the remainder when d is divided by (-7)/((-21)/h) - -20? 13 Let a = -192 + 215. What is the remainder when a is divided by 5*6*8/60? 3 Let f(k) = -3*k**3 + 30*k**2 - k + 12. Let u be f(10). Let s(w) = 46*w - 80. Calculate the remainder when 23 is divided by s(u). 11 Let l(u) = -u**2 + 35*u - 301. Suppose -2*z + z + 2*o = -32, 5*z = 2*o + 168. What is the remainder when z is divided by l(18)? 4 Suppose -130 = u - 3. Let s = -96 - u. Suppose -3*v + 89 = -2*v. What is the remainder when v is divided by s? 27 Let r(u) = -15*u + 15. Let m be r(-2). Let j = m - -8. Let s(w) = -w**2 + 8. Calculate the remainder when j is divided by s(0). 5 Let w(f) = 58*f - 85. Let o be w(-7). Let g = -481 - o. What is the remainder when 77 is divided by g? 7 Suppose i + q + 0*q = 210, 0 = 3*q - 15. Calculate the remainder when 552 is divided by i. 142 Let u(p) = p**3 + 2*p**2 - 47*p + 7. Let l be 6/42 - (186/(-21) - -3). What is the remainder when -1 - -12*13 - 1 is divided by u(l)? 11 Let w(c) = -17*c - 381. Let u(j) = -j - 3. Let t be u(7). Let y = t - -20. Calculate the remainder when w(-23) is divided by y. 0 Let u(c) be the third derivative of c**4/8 + 8*c**3/3 - 18*c**2. Let w be u(-3). Calculate the remainder when 1*334/w - 4/(-14) is divided by 19. 10 Suppose 0 = 2*w - 3*n - 1458, 6*n = 3*w + 3*n - 2187. What is the remainder when w is divided by 251? 227 Suppose 0 = 8*z - 4*z + 3*r - 2412, z + 2*r = 613. Calculate the remainder when z is divided by 205. 187 Suppose 3*j - 689 = 4*c, 0*j - 3*c - 690 = -3*j. Suppose -81*l - 48 = -89*l. What is the remainder when j is divided by 8/l*(-78)/(-4)? 23 Let m(p) = 8*p**2 + 149*p + 50. What is the remainder when m(-19) is divided by 5? 2 What is the remainder when 2043 is divided by (-5)/((-10)/84) + (-30 - -29)? 34 Let r(y) = -y**2 + 8*y + 1. Let q(o) = -2*o**3 - 4*o**2 + 5. Let a be q(-2). Let t be r(a). What is the remainder when (-2)/t - ((-97)/8 - 6) is divided by 3? 0 Let q(p) = p**3 + 16*p**2 + 17*p + 36. Let z be q(-15). Suppose 24 = -z*s + 9*s. Suppose 5*x = 17 + s. Calculate the remainder when 18 is divided by x. 3 Let a = -39 - -81. Suppose 0 = -b - 5*c - 4, c + 13 = 2*b - 34. Calculate the remainder when a is divided by -3 - (-2)/3*b. 9 Let i = -1149 + 1173. Let w = -8 + 6. Calculate the remainder when 59 is divided by 12/i + (-9)/w. 4 Calculate the remainder when 398 is divided by 1/((8/(-4))/((12 - 7) + -285)). 118 Let x be ((-5 + -4)/(-3))/1. Suppose -4*o + 8*c = 3*c - 127, 5*o = -x*c + 131. Calculate the remainder when o is divided by 12. 4 Suppose 0 = 5*o - 12*o. Suppose o = -3*d - 10 + 40. Suppose 80 = -0*i + d*i. Calculate the remainder when i is divided by 5. 3 Let o be (-3118)/11 - -2 - 72/132. Let a = 299 + o. What is the remainder when a is divided by 10? 7 Let o(f) = -f**3 + 20*f**2 - 18*f - 19. Let n be o(19). Suppose -10 + n = -2*t. Calculate the remainder when 68 is divided by 3 - ((-99)/t + 1/(-5)). 22 Suppose -3*f + 6*f - 57 = 0. Suppose g + 4 = 0, 2*b - 3*b - 4*g - 623 = 0. Let p = 852 + b. What is the remainder when p is divided by f? 17 Let n be -6*(-515)/55 - 8/44. Let t = n - 51. What is the remainder when 36 is divided by t? 1 Let h = -19549 - -23174. Calculate the remainder when h is divided by 31. 29 Suppose -3*a = 2*g - 14, -7*g + 28 = 4*a - 2*g. Suppose -u + a*u = -2*p + 3, -4*p = -u - 9. Calculate the remainder when -38 + (9 + 59 - 9) is divided by p. 1 Let n(r) = -5*r - 22. Let s be (182/(-42))/((-2)/6). Let k be n(s). Let b = k + 133. Calculate the remainder when b is divided by 16. 14 What is the remainder when (1054/(-4))/(2/(-4)) is divided by 10 + -2 + 0 + 2 + 53 + 3? 65 What is the remainder when (-57)/((-1083)/3686) - (-1 - -8) is divided by 98? 89 Suppose 2824 + 3470 = 6*p. What is the remainder when p is divided by 50? 49 Suppose 38*k + 300 = 43*k. Suppose -c + k = -35. Let g = 133 - c. What is the remainder when 147 is divided by g? 33 Let x = -2960 - -3230. What is the remainder when x is divided by 56? 46 Let r = -4 + 20. Suppose 4*g + 7*g = 550. Suppose g*p - 48*p - 10 = 0. Calculate the remainder when r is divided by p. 1 Suppose 6240 + 332 = 31*o. Calculate the remainder when (-53)/o + (-594)/(-8) is divided by (5 + -15)*(-3)/2. 14 Suppose -25056 = 72*s - 168*s. Calculate the remainder when 276 is divided by s. 15 Let r(p) = -4*p**2 - 12*p + 11. Let t be r(1). Let a(f) = -f**3 + f**2 + 27*f - 9. Calculate the remainder when 98 is divided by a(t). 2 Suppose 3*h - 3*s = 4*h - 9, -9*s - 18 = 0. Calculate the remainder when 16228 is divided by h. 13 Suppose -4*f - 4*o + 406 = -5*o, -o - 2 = 0. Suppose -2*i = -0*i + 5*u - 788, 0 = -3*i - 5*u + 1187. Calculate the remainder when i is divided by f. 96 Let a be (-771)/(-9) + 3/9. Let c = 8 + a. Let d = c + -61. Calculate the remainder when 96 is divided by d. 30 Suppose -129 = 4*l + 2*b - 3*b, -3*l = 2*b + 94. Calculate the remainder when -6*(1 - 2)/((-1)/l) is divided by 28. 24 Suppose 0 = 15*w + 15*w - 4*w - 88894. What is the remainder when w is divided by 12? 11 Suppose -2*g + 0*a + 2*a + 22 = 0, -4*g + 36 = 4*a. What is the remainder when 57 is divided by g*(9/2)/3? 12 Let y(z) = -z**2 - z + 35. Suppose 38*u - 39*u = -5*f - 19, -2*f = -u + 16. Calculate the remainder when y(0) is divided by u. 7 Let u = -130 + 114. What is the remainder when 53 + 4*(-20)/u is divided by 5? 3 Suppose -x + 3123 = 4*c, 0 = 2*c - 2*x - 1508 - 36. What is the remainder when c is divided by 169? 103 Let x = 3986 + -3917. What is the remainder when 405 is divided by x? 60 Let h(v) = -24*v + 246. Let z be h(31). Let o = z + 502. Calculate the remainder when 45 is divided by o. 1 Let d = 3 - -1. Suppose -4*y + 33 = -3*j + 7, -4*j - 4*y - 16 = 0. Calculate the remainder when j/1 + 266/14 is divided by d. 1 Suppose 0 = 34*z - 6*z - 252. Let q be 2 - (-2 - -1 - 24). Suppose 4*a = 5 + q. What is the remainder when z is divided by a? 1 Let y = -3146 + 3157. What is the remainder when 351 is divided by y? 10 Suppose 4*v - 2 - 438 = -5*d, -4*d + 311 = -5*v. Let l = 1013 - 595. Calculate the remainder when l is divided by d. 82 Suppose 28*q - 40 - 1696 = 0. What is the remainder when 495 is divided by q? 61 Calculate the remainder when 1232 is divided by 4 + -16*(-2)/8 + 297. 12 Suppose -3*l = -4*l + 3*v + 363, 4*v = 4*l - 1492. Suppose -2 = t + 5*b + l, -3*b = -5*t - 2040. Calculate the remainder when 2/(4 - t/(-102)) is divided by 24. 20 Calculate the remainder when 152 is divided by (-19224)/(-445) - (1 - 8/10). 23 Let v(m) = 247*m**2 - 36*m - 2. Let d be v(2). Suppose -39*j + 3688 = -d. Calculate the remainder when j is divided by 11. 8 Let h = -2 - -77. Suppose -62 = -5*f
{ "pile_set_name": "DM Mathematics" }
in 42.93138kg? 0.04293138 How many millimeters are there in fourty-five quarters of a meter? 11250 How many hours are there in seven eighths of a day? 21 What is 25/8 of a kilogram in grams? 3125 What is 1/27 of a day in seconds? 3200 How many nanograms are there in twenty-seven halves of a microgram? 13500 What is 0.7024075 millennia in decades? 70.24075 How many millimeters are there in three tenths of a meter? 300 What is one twentieth of a microsecond in nanoseconds? 50 Convert 21.2388 nanoseconds to minutes. 0.00000000035398 Convert 28.85232ml to litres. 0.02885232 How many years are there in one tenth of a decade? 1 What is 5.901193 litres in millilitres? 5901.193 How many seconds are there in 7/18 of a day? 33600 How many kilograms are there in 17/4 of a tonne? 4250 How many centimeters are there in 6/25 of a meter? 24 Convert 4.579988ng to micrograms. 0.004579988 How many minutes are there in five quarters of a week? 12600 How many millilitres are there in five quarters of a litre? 1250 How many weeks are there in 849758.91 hours? 5058.08875 How many seconds are there in 1/54 of a week? 11200 How many kilograms are there in twenty-six fifths of a tonne? 5200 How many hours are there in four thirds of a day? 32 How many meters are there in 8746.463 micrometers? 0.008746463 How many hours are there in fifty-nine thirds of a week? 3304 How many seconds are there in 22/9 of a hour? 8800 How many milliseconds are there in 5/4 of a second? 1250 How many seconds are there in 31/2 of a hour? 55800 How many centimeters are there in three sixteenths of a kilometer? 18750 What is 251.556 micrometers in kilometers? 0.000000251556 How many millilitres are there in 96036.95l? 96036950 Convert 56919.76 decades to years. 569197.6 How many nanoseconds are there in 757.032 microseconds? 757032 What is four fifteenths of a day in seconds? 23040 How many litres are there in 100.4882ml? 0.1004882 What is three tenths of a millimeter in micrometers? 300 What is 16/9 of a week in minutes? 17920 Convert 688.5801 hours to milliseconds. 2478888360 What is 27/4 of a millimeter in micrometers? 6750 How many millilitres are there in one tenth of a litre? 100 What is 8.308153um in kilometers? 0.000000008308153 What is 49828.716 minutes in weeks? 4.943325 How many litres are there in 74.17477ml? 0.07417477 How many kilograms are there in eighteen fifths of a tonne? 3600 How many minutes are there in 16/9 of a day? 2560 Convert 15035154.12ms to weeks. 0.0248597125 How many millilitres are there in 1504.458 litres? 1504458 What is fourty-six fifths of a week in minutes? 92736 What is 58.76723 microseconds in nanoseconds? 58767.23 How many millilitres are there in 3/5 of a litre? 600 How many millilitres are there in 7/2 of a litre? 3500 How many minutes are there in 5/6 of a hour? 50 What is 5/8 of a kilometer in centimeters? 62500 How many millilitres are there in 3/5 of a litre? 600 How many millilitres are there in 3/25 of a litre? 120 What is 8.092568 millennia in decades? 809.2568 How many months are there in 7/16 of a century? 525 Convert 55913.2 meters to micrometers. 55913200000 How many years are there in 56.72679 millennia? 56726.79 What is thirteen fifths of a millennium in decades? 260 How many minutes are there in 2.391763 hours? 143.50578 How many years are there in 25.031208 months? 2.085934 Convert 17.49867 millilitres to litres. 0.01749867 What is 10/3 of a decade in months? 400 How many microseconds are there in 25/4 of a millisecond? 6250 How many millilitres are there in 48/5 of a litre? 9600 What is four fifteenths of a minute in seconds? 16 What is 16/7 of a week in hours? 384 How many milligrams are there in 25772.61 grams? 25772610 Convert 1202.554 kilometers to millimeters. 1202554000 Convert 7.832496 tonnes to grams. 7832496 How many milligrams are there in 24.60915 grams? 24609.15 What is 3/5 of a century in decades? 6 How many milligrams are there in 21.40166ug? 0.02140166 What is eight sevenths of a week in days? 8 Convert 18.50461g to nanograms. 18504610000 How many micrometers are there in 15/4 of a centimeter? 37500 What is 3409.164 litres in millilitres? 3409164 What is 1/20 of a gram in milligrams? 50 How many years are there in 9/10 of a millennium? 900 What is 0.9171628g in tonnes? 0.0000009171628 Convert 0.5502647km to millimeters. 550264.7 How many micrometers are there in 3/8 of a millimeter? 375 How many litres are there in 6490.117 millilitres? 6.490117 How many micrograms are there in 1/5 of a milligram? 200 What is 11/2 of a millennium in years? 5500 Convert 0.0660981kg to milligrams. 66098.1 What is 5.685943 nanograms in grams? 0.000000005685943 How many hours are there in 829724.58 microseconds? 0.00023047905 How many seconds are there in two fifteenths of a week? 80640 How many millilitres are there in 0.7357145 litres? 735.7145 How many milliseconds are there in 786.0836us? 0.7860836 How many milligrams are there in 7094.88 grams? 7094880 What is 5/8 of a gram in milligrams? 625 Convert 3981.471 millimeters to nanometers. 3981471000 How many microseconds are there in 9765.417 hours? 35155501200000 How many hours are there in five sixths of a week? 140 Convert 2326.543 days to nanoseconds. 201013315200000000 What is 102105.2 millimeters in centimeters? 10210.52 What is 956272.5 months in decades? 7968.9375 How many minutes are there in 25/2 of a day? 18000 What is 11/2 of a microgram in nanograms? 5500 What is 63710.94ml in litres? 63.71094 What is 7/6 of a decade in months? 140 Convert 23.2456986 microseconds to days. 0.0000000002690474375 How many meters are there in 3/25 of a kilometer? 120 How many months are there in three sixteenths of a millennium? 2250 What is three tenths of a litre in millilitres? 300 What is one tenth of a century in years? 10 How many grams are there in one-hundred-and-one halves of a kilogram? 50500 Convert 46.11121 minutes to microseconds. 2766672600 How many centuries are there in 2567.97 millennia? 25679.7 What is 5082.059ng in micrograms? 5.082059 How many years are there in three tenths of a century? 30 How many micrometers are there in thirty-three tenths of a centimeter? 33000 What is one sixteenth of a gram in micrograms? 62500 How many millilitres are there in 0.622747l? 622.747 What is 3/40 of a litre in millilitres? 75 Convert 795.8708 litres to millilitres. 795870.8 How many milligrams are there in 34.37719t? 34377190000 How many kilometers are there in 74.54449 nanometers? 0.00000000007454449 Convert 847443.4ug to milligrams. 847.4434 How many years are there in six fifths of a millennium? 1200 Convert 20702.418 months to millennia. 1.7252015 How many nanograms are there in fourty-two fifths of a microgram? 8400 What is 27/2 of a gram in milligrams? 13500 What is 13/8 of a microgram in nanograms? 1625 How many microseconds are there in 0.605556 weeks? 366240268800 How many milliseconds are there in 1018.3 minutes? 61098000 What is seventy-three thirds of a year in months? 292 What is 72217.03 micrograms in tonnes? 0.00000007221703 How many micrometers are there in 88/5 of a millimeter? 17600 What is 11.05937km in millimeters? 11059370 What is 18/5 of a millennium in years? 3600 What is 516.1224um in millimeters? 0.5161224 Convert 0.3543378 years to millennia. 0.0003543378 What is 9/10 of a day in minutes? 1296 How many nanograms are there in 5/8 of a microgram? 625 What is 7/25 of a litre in millilitres? 280 What is seventy-five halves of a minute in seconds? 2250 What is nine tenths of a litre in millilitres? 900 How many meters are there in 96349.06nm? 0.00009634906 What is 3/8 of a litre in millilitres? 375 Convert 3560.49 days to milliseconds. 307626336000 Convert 44260.55 nanograms to micrograms. 44.26055 How many minutes are there in 95.7405 hours? 5744.43 How many milligrams are there in thirteen quarters of a gram? 3250 How many years are there in 1/4 of a century? 25 Convert 38.33549 days to minutes. 55203.1056 Convert 0.4151306 years to centuries. 0.004151306 How many months are there in four thirds of a millennium? 16000 How many millilitres are there in 7/4 of a litre? 1750 How many milliseconds are there in 7509.808 weeks? 4541931878400 Convert 0.9891511 millenn
{ "pile_set_name": "DM Mathematics" }