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-1) - (-113 - -110))? -2/3 What is the value of (((-32)/18)/(240/360) + 0)/(-6)? 4/9 What is the value of ((-4)/(-6))/((-14)/21) - 165/(-150)? 1/10 What is the value of ((-151 + 146)*(-42)/(-5))/((-8)/(-2))? -21/2 (2724/3178 - (-716)/14)/2 26 What is the value of (-11178)/414 - (-1293)/48? -1/16 What is ((-11)/((-44)/(-10)))/((-3)/(-6))? -5 Evaluate 2/(-15)*(-14 - (-220)/30). 8/9 Calculate 12 - (-50138)/(-2332)*1/(2/4). -31 Calculate (-4)/15 + (-16560)/(-1350). 12 What is (-435)/126 + 7/((-441)/(-18)) + 2? -7/6 Evaluate 15 + (-3584)/200 - -3. 2/25 5*(-4)/50 + (-3)/(-5) 1/5 (1 - (-2)/(-8))/(-15*(-2)/120) 3 Calculate (18648/45)/14 - (-8 - (-344)/40). 29 Evaluate (-588)/(-32) + 125/200. 19 2/(-3) - (-38 + 19)*(-2)/6 -7 What is the value of ((-126)/8 + -3)*(-21)/((-945)/60)? -25 What is the value of (-7)/(-21)*-6 + (-10)/6*3? -7 Calculate 11/2 - 180/(-120). 7 Evaluate 91/637*-2*14/6. -2/3 Evaluate (3 + 3/(-6))/((-117)/(-234)). 5 Evaluate ((-11)/2)/((-1)/(-9) + (-1325)/(-954)). -11/3 Evaluate 4/18*1545/(-8755). -2/51 What is (-2 + 1)/((-343)/(-490))? -10/7 Calculate 6/69 - (37206/1219)/6. -5 Evaluate (154/28 - 7 - -2)/((-55)/2). -1/55 What is the value of (30/(-870)*-29)/(-1 + 14/16)? -8 (-168)/(-12) + 31050/(-2208) -1/16 Evaluate (-11 - -4)*2/(-3)*30/(-20). -7 What is the value of (-420)/(-1470)*(-3)/(-2)? 3/7 Evaluate (70/(-20) + 5)/((-12)/(-44)). 11/2 What is 2190/(-115) - 41/(-943)? -19 (0 + (-6)/(-21))/((-220)/924) -6/5 What is the value of 11/(-44)*(62 - 18)? -11 ((-515)/(-15) + 20/12)*6/27 8 Calculate (-42)/(-6) + (-27)/2 + 9. 5/2 What is ((-10)/80 - 27/40)*(-10)/(-4)? -2 What is (756/273)/(-9)*2/4? -2/13 Calculate 22632/(-1845) - 6*-2. -4/15 What is the value of (-220)/(-28) - (16 - 1800/105)? 9 What is the value of ((-14)/(-18))/((-344)/(-1032))? 7/3 What is (-23)/92 - (3 - 52/16)? 0 Calculate 0*(-2)/(-6) - 37/((-296)/(-112)). -14 Evaluate 1/(-6) + (-238)/(-420). 2/5 (-114)/(-18) + (-40)/(-15) 9 What is ((-11281)/(-4668))/(28/10 + -2) - 3? 1/48 Evaluate ((-1040)/312)/(-9 + -1). 1/3 (-28)/144*(-544)/(-68) -14/9 (144/(-21) - -15) + -8 1/7 What is the value of 63/(693/143) - (-249)/(-19)? -2/19 Calculate 2 - (-126)/(90/(-15)). -19 What is the value of 1432/(-40812)*(-3)/(-2)? -1/19 What is (-1 + (-44)/(-8))/(4/8)? 9 What is (-200)/(-30) + 8/6*(-7 - -4)? 8/3 Calculate -25 + 190/10 - (30/(-6) + 12). -13 Calculate (-36)/33 + 1 - (-3)/(231/(-1456)). -19 -3*(2/16)/(357/(-2856)) 3 Calculate (-43)/(688/(-192))*-1*(-35)/(-20). -21 What is the value of (-1140)/(-180) + (-10)/(-2) + -12? -2/3 Evaluate 689/7579*(-1 + 56). 5 (-2400)/(-168) + -14 - 111/21 -5 What is the value of (-3 + (-207)/(-45))*(-25)/70? -4/7 Evaluate 8/(-6) + (1 + 477/(-324))*-3. 1/12 Evaluate (-12)/(-9) + (-529)/(-69). 9 Calculate 13 - (19 - (-16)/(-3)). -2/3 2/(-23) + (164/(-345))/(2/3) -4/5 Evaluate (94/(-329))/(2/(-98)). 14 What is 75/250 + 3 + (-285)/(-50)? 9 ((-5)/((-15)/27))/(158/(-316)) -18 (-115632)/(-29200) + (-2)/(-50) 4 What is ((-36)/14)/(888/(-560) + 27/15)? -12 What is the value of (-55)/(-155)*252/1386? 2/31 What is the value of 3/(-7)*(-7623)/(-594)? -11/2 Evaluate 2*5/2 - 516/(-86). 11 Evaluate (1/(-3))/(-4 - (-767)/195) - -15. 20 What is 62/13 - (-34)/(34/(-5))? -3/13 ((-240)/(-180)*(-3)/26)/1 -2/13 (-12)/14*3199/(-5484) 1/2 What is the value of 33/(6 + -9) - (-3 - -3)? -11 207/297 + (-14)/161 + (-17)/69 4/11 Evaluate 200/(-250)*(25/(-20))/((-2)/12). -6 Calculate (-23)/30*17/68 - 148/(-1184). -1/15 10/(-3) - (0 - (3 - (-1)/(-1))) -4/3 What is (-226)/46 + (66 - 61)? 2/23 Evaluate -4 + (-126)/(-28) - (-2 - (-7)/4). 3/4 Evaluate (23 - 912/48)/((-16)/30). -15/2 Evaluate 282/(-611)*(-52)/12. 2 (-2 + 30/18)/((-3)/9) + -6 -5 What is (3/(-18) - (246/36 - 7))/1? 0 What is (32/128)/(5/(-24))? -6/5 ((-2856)/91)/(-17) - (8/2 - 2) -2/13 Calculate ((-14)/4)/(1946/1112). -2 What is 2 + (-5635)/1050 + (-1 - 13/(-15))? -7/2 What is the value of 9*(2/(-4) + (-34)/(-204))? -3 (-4307)/3066 + 3/2 2/21 Evaluate (-4)/78 + 15447/(-2223). -7 Calculate (4/(-6))/(13/741) - -19. -19 Evaluate (1 - (-20276)/(-925)) + 21. 2/25 Evaluate (-4*13/(-208))/(2/88). 11 Evaluate (1/(-9))/(-23 - (-24816)/1080). 5 Evaluate (-3567)/6*(-1922)/39401. 29 What is the value of 1482/(-76) + 1/((-12)/(-168))? -11/2 12/(-240)*32/4*25 -10 What is the value of 50/(-625) - 7307/1475 - -5? -2/59 Calculate 132/(-462) + (2982/(-49))/(-3). 20 Evaluate ((-2)/18)/(40/120). -1/3 (63/24)/(1/(-64)*-12) 14 What is the value of (-158)/(-553) + ((-122)/(-14) - 0)? 9 What is the value of ((-89)/356)/((-10)/(-48))? -6/5 Calculate 9 - (623/70 + (-20)/50). 1/2 (-20 + (0 - -18) - (-20)/6)*-6 -8 What is 11 - (-2556)/(-150) - (-22)/550? -6 What is ((-891)/110 + 8)/(4/(-90))? 9/4 Evaluate 1/4*904/(-5537). -2/49 Evaluate (2/8)/((630/(-792))/35). -11 Evaluate 8/(-320)*4*(-4)/(-5). -2/25 Evaluate ((-600)/(-175))/((-20)/(-35)) + (2 - 8). 0 Evaluate ((-12)/54)/((-130)/15 - -9). -2/3 What is -6*((-1403)/(-759) + (-6)/33)? -10 What is the value of ((24 - 7024/312) + (-2)/13)/(-38)? -2/57 ((5/2)/1)/(605/66 + -9) 15 What is the value of 20/6 + (-86812)/25806 - (-6)/(-69)? -2/17 Evaluate 11/(-21)*(-846)/(-4653). -2/21 What is (-6157)/(-2358) - 30/12? 1/9 What is the value of 147/7 + 4*-2*(-23)/(-46)? 17 What is 4/30 - 4550/375? -12 Calculate (8 - (-407)/(-33))/(6/36). -26 What is ((3/(-82))/(-1))/(27/180*5)? 2/41 Evaluate (-102)/6 - (45 + -25 - 13). -24 What is (2444/(-195) + 12)*(-1)/(-4)? -2/15 Evaluate ((-5)/(50/16))/((-38)/(-13 + -6)). -4/5 Evaluate (3/(-9)*14 - -4)/((-158)/(-1659)). -7 Evaluate (-15 - (-1232)/80)/((-2)/55). -11 What is 3/7*322/345? 2/5 Calculate (20 + (-16192)/828)/((-8)/(-9)). 1/2 356*8/(-416) + 7 2/13 What is ((-2)/28)/((-2)/7)*36? 9 What is the value of (12/18)/(316/9006)? 19 Calculate 348/(-29) + 14 + -3 + -8. -9 What is (-8)/(-2) + 4 + 19 + 2717/(-99)? -4/9 9*(-6)/(-72) - ((-70)/10 - -12) -17/4 Calculate ((-2043)/(-54) + -38)/((-1)/3). 1/2 What is (-6)/15*12/(24 - -132)? -2/65 What is the value of (1258/3145)/(16/(-10))? -1/4 What is (-109272)/(-2030) - 55 - -2*(-9)/42? -8/5 Evaluate ((-3)/(-12))/((91/(-56))/13). -2 What is the value of 8 - (-16)/(-20)*(-150)/(-16)? 1/2 Calculate (-4)/14*(55 - 83). 8 What is -7 + 5 + 9 + (-2 - -3)*-10? -3 Calculate ((-2)/8*10 - -2)*(-20628)/(-1910). -27/5 What is 618/126 + 2 - (13 - 6)? -2/21 What is (-26 + -370)/11 - -22? -14 Evaluate -1*4/(-26) + 15 + (-4192)/208. -5 Evaluate ((-9)/(-30))/((-221)/(-2210)). 3 What is (450/250)/((-34)/(-10) - 4)? -3 What is 12 - (-15*5/(-275) + 56/(-44))? 13 Calculate (-17391)/(-682)*(250/108 - 2) + -8. 1/36 What is ((-2)/24)/(32/(21120/(-99)))? 5/9 Evaluate (-1 + 2 + 0)/(4147/(-1131)). -3/11 What is 489/326 - (-2)/8? 7/4 What is the value of 196/(-238)*204/(-24)? 7 What is (33/539)/(36/(-168))? -2/7 Evaluate -4*(0 + 22/352). -1/4 Calculate (288/27)/(126/(-189)). -16 Calculate ((-2)/(-26))/((-60)/144*-6). 2/65 What is the value of 60/(-161) - ((-774)/1386 + (-24)/(-88))? -2/23 Evaluate ((-182)/49 + 2)/(0 + (-3)/(-21)). -12 16 - -5 - (46 + -29) 4 Calculate -9*(-8)/252*(-756)/(-297). 8/11 What is (-1)/10 - (13032/480 + -28)? 3/4 What is the value of -4*5/(-8)*-8*(-19)/114? 10/3 Calculate (24/(-15))/((-594)/11 + 2). 2/65 11130/(-1470) - 8/(-14) -7 (-189)/(-441)*21/(-27) -1/3 What is 61 + -50 + -28 + 4? -13 What is the value of (18/(-30))/((-321)/(-856))? -8/5 ((-264)/(-192)*(-4)/(-6))/((-8)/(-32)) 11/3 Evaluate 48/18*(1 + 4/(-16)). 2 (-1254)/(-1848) - (-9)/12 10/7 What is ((-2)/8)/((-14)/196) - 5? -3/2 What is (31/(-124))/((-4)/176)? 11 What is the value of (-14)/(-8) + (-6)/(-20)*2890/(-340)? -4/5 What is the value of 266/35*(-2)/(-4) - (-1 + 4)? 4/5 What is the value of (1 - 3/2)/((-5211)/135 - -39)? -5/4 Calculate ((-2751)/189 + 13)*(-8)/(-28). -4/9 Calculate (-3*(-1 + 2))/((-45)/(-75)). -5 Calculate 40/7920*-183 + 1/(-6). -12/11 What is -2 + 8*(-8 + -3)/(-22)? 2 What is (27 + 6)/(147/98)? 22 Evaluate (-37)/42 - (-28)/(-42)*-1. -3/14 ((-42)/168)/(2/(-496)*-2) -31 (-12)/(-46) - (-176310)/15019 12 Calculate (-1990)/(-95) + 22 + -43. -1/19 Calculate (-2)/2 + -9*(2288/72)/13. -23 What is the value of -16*1 - 5 - -20*10/40? -16 What is -1 + -27 - (-296 + 287)? -19 What is the value of (11890/779 + -15)/((-10)/(-4))? 2/19 What is (-4 + (-350)/(-105))/((8/
{ "pile_set_name": "DM Mathematics" }
. -2088*n**2 Collect the terms in 25 - 408*m + 1231*m - 411*m + 19 - 410*m. 2*m + 44 Collect the terms in 51*d**2 - 46*d**2 - 12*d**2. -7*d**2 Collect the terms in -72 + 53*g - 126*g + 72 - 29*g**3 + 73*g. -29*g**3 Collect the terms in -80*k**2 - 183399 + 183399 - k. -80*k**2 - k Collect the terms in 2*m + 43 - 217 - 9*m. -7*m - 174 Collect the terms in -125*t - 127*t + 489*t - 124*t - 121*t. -8*t Collect the terms in 216*k**2 - 146*k**2 - 873*k**2. -803*k**2 Collect the terms in -19*h + 4*h - 8*h + 33*h - 9*h. h Collect the terms in 5450 + 65*a**2 - 5450. 65*a**2 Collect the terms in -18*w**3 + 117*w**3 + 3*w**3 + 19*w**3. 121*w**3 Collect the terms in 46*b - 7*b - 33*b - 5*b. b Collect the terms in 34*m**2 - 3*m**2 + 8*m - 16*m + 8*m. 31*m**2 Collect the terms in -27394*b**2 + 50*b**3 + 27394*b**2. 50*b**3 Collect the terms in -4*a**2 - 2*a**2 - a**2 - 10*a**2 + 2*a**2. -15*a**2 Collect the terms in -950 + 950 - 77*n**2. -77*n**2 Collect the terms in -16*r**3 - 74820 + 74820. -16*r**3 Collect the terms in -46*c**2 - 1566*c + 4695*c - 1564*c - 1565*c + 1. -46*c**2 + 1 Collect the terms in 6816*o + 16*o**3 - 13667*o + 6851*o. 16*o**3 Collect the terms in 3 - 1 - 3 + 62534*i. 62534*i - 1 Collect the terms in -21*c - c**3 - 39 + 6*c + 89 + 207. -c**3 - 15*c + 257 Collect the terms in 4*z - 55*z**2 + 4*z + 2*z - 60*z**2 + 117*z**2. 2*z**2 + 10*z Collect the terms in -28*f**2 + 5 - 3098*f + 3098*f. -28*f**2 + 5 Collect the terms in -32675*t**2 + 42163*t**2 - 194623*t**2. -185135*t**2 Collect the terms in 9*k**2 - 23*k**2 + 49*k**2 - 18*k**2 - 13*k**2. 4*k**2 Collect the terms in s**3 + 14*s**2 - 4*s**3 + 7*s**3 - 10*s**2 + 3*s**3. 7*s**3 + 4*s**2 Collect the terms in -9713*b**3 + 19428*b**3 - 9712*b**3. 3*b**3 Collect the terms in 208*s**3 - s + 1267*s**3 - 132*s**3 + s. 1343*s**3 Collect the terms in -3*j - 2*j**3 + 0*j + 0*j**3 - 11 + j. -2*j**3 - 2*j - 11 Collect the terms in 596*t - 994*t + 398*t - 7*t**2. -7*t**2 Collect the terms in -39*b - 90*b - 109*b - 119*b + 453*b. 96*b Collect the terms in 627 + 28*h**2 - 627 + 19*h**2 - 54*h**2. -7*h**2 Collect the terms in -89*q + 130*q - 39*q. 2*q Collect the terms in -1458*q**2 + 709*q**2 + 715*q**2. -34*q**2 Collect the terms in 262*n**2 + 460*n**2 + 1633*n**2. 2355*n**2 Collect the terms in 48 - 21 - 11 - 7*l**2 - 16. -7*l**2 Collect the terms in 1640 - 3*c**3 + 1609 - 3245. -3*c**3 + 4 Collect the terms in -162*r**2 - 162*r**2 - 162*r**2 + 491*r**2. 5*r**2 Collect the terms in 106010*g - 106010*g + 166*g**2. 166*g**2 Collect the terms in 866 + 0*g + 467 - 3*g. -3*g + 1333 Collect the terms in 17*t**2 - 125 + 126 + 20*t**2 - 49*t**2. -12*t**2 + 1 Collect the terms in 3 - 1661*k**2 + 835*k**2 - 3 + 831*k**2. 5*k**2 Collect the terms in 584386*y - 1168773*y + 584388*y. y Collect the terms in -712 + 48 + 345 + 2*n. 2*n - 319 Collect the terms in -1294 + 10*y + 630 + 666. 10*y + 2 Collect the terms in -14*p - 7*p - 1160 + 1160. -21*p Collect the terms in 22*y**3 + 14*y**3 - 14*y**3 + 18*y**3. 40*y**3 Collect the terms in -10*c**3 - 73*c - 48 - 69*c + 142*c. -10*c**3 - 48 Collect the terms in -11174270*d**3 - 11174267*d**3 + 22348540*d**3. 3*d**3 Collect the terms in 19477*b**3 - 2*b**2 + 2*b**2 - 39013*b**3 + 19538*b**3. 2*b**3 Collect the terms in 98*d**3 - 208*d**3 + 74*d**3. -36*d**3 Collect the terms in -8953*l**2 + 17892*l**2 - 8939*l**2 - 2*l**3. -2*l**3 Collect the terms in 4826051*k**2 + 4826042*k**2 - 9652086*k**2. 7*k**2 Collect the terms in -50649*o**3 + 101276*o**3 - 50641*o**3. -14*o**3 Collect the terms in 10121422903 + 20*s**2 - 10121422903. 20*s**2 Collect the terms in -3*d + 17*d**2 - 23*d**2 + 3 + 3*d. -6*d**2 + 3 Collect the terms in 51*d + 0 + 1 - 5 + 2 - 54*d. -3*d - 2 Collect the terms in -3132*z + 6175*z - 3100*z. -57*z Collect the terms in -55 + 25 + 961*y + 13. 961*y - 17 Collect the terms in 4*d**3 + 11*d**3 - 53*d**3 + 18*d**3 + 12*d**3. -8*d**3 Collect the terms in -10 - 178*z**2 + 10 + 177*z**2. -z**2 Collect the terms in 484*g - 157*g + 13 - 161*g - 167*g. -g + 13 Collect the terms in 0*a - 23 - 104*a**3 + 38*a**3 + 0*a. -66*a**3 - 23 Collect the terms in v**2 - 46 - 492 - 4*v**2 + 538. -3*v**2 Collect the terms in 55*n - 11*n - 42*n - 7*n. -5*n Collect the terms in 32*t + 2195 - 2195. 32*t Collect the terms in 935*s - 2799*s + 930*s + 933*s. -s Collect the terms in 7*j - 45*j**3 + 10*j**3 - 9*j + 18*j - 13*j. -35*j**3 + 3*j Collect the terms in 88*m**2 - 358*m + 360*m - 8*m**2. 80*m**2 + 2*m Collect the terms in 3*b**2 - 3*b**2 - 12476*b**3 - 1562*b**3. -14038*b**3 Collect the terms in -u + 93*u**3 + 39 - 12 - 27. 93*u**3 - u Collect the terms in 6579*k + 15521*k + 4042*k. 26142*k Collect the terms in 13*l - 9324*l**2 - 13*l + 35433*l**2. 26109*l**2 Collect the terms in -56*b**3 + 103*b**3 + 2*b**3 - 59*b**3. -10*b**3 Collect the terms in 4*j - 168*j**2 - 123*j**2 - 85*j**2 - 181*j**2. -557*j**2 + 4*j Collect the terms in -99597219*d + 99597219*d + d**2. d**2 Collect the terms in -43 - 187*g**2 + 189*g**2 + 43. 2*g**2 Collect the terms in -8857*n**2 + 2 - 8922*n**2 - 7279*n**2. -25058*n**2 + 2 Collect the terms in 85*x + 2 - 1 + 1 + 0. 85*x + 2 Collect the terms in -21*f + 23 - 50 + 19*f. -2*f - 27 Collect the terms in -2*p + 7*p - 5*p + 0*p - 732*p**3. -732*p**3 Collect the terms in 136*l**2 + 223*l**2 - 516*l**2. -157*l**2 Collect the terms in -87*m**3 - 424*m + 847*m - 423*m + 83*m**3. -4*m**3 Collect the terms in 116*m - 117*m + 16*m + 97*m. 112*m Collect the terms in -287617*j**2 + 23*j**3 + 287617*j**2 - 96*j**3. -73*j**3 Collect the terms in 2 - 2196*l - 2 + 2188*l. -8*l Collect the terms in -10744*b**2 + 21493*b**2 - 10756*b**2 + 5. -7*b**2 + 5 Collect the terms in 577*p**2 + 13*p**2 + 198*p**2. 788*p**2 Collect the terms in 100377*c**2 - 50189*c**2 - 50189*c**2. -c**2 Collect the terms in 485*t**3 + 390*t**3 + 252*t**3 + 166*t**3. 1293*t**3 Collect the terms in -476*n**3 + 185*n**3 + 159*n**3 + 131*n**3. -n**3 Collect the terms in -37 - 31 - 29 - 47*h + 99. -47*h + 2 Collect the terms in -3241 + 3241 + 3125*n**3. 3125*n**3 Collect the terms in -3 - 951*g**2 + 780*g**2 + 7*g**3 + 1 + 2. 7*g**3 - 171*g**2 Collect the terms in -1973 - 1965 - 3*q**3 - 1964 + 5902. -3*q**3 Collect the terms in -570*i + 0 - 646*i + 2 + 1898*i - 614*i. 68*i + 2 Collect the terms in 894*k - 923*k - 859*k - 686*k - 525*k. -2099*k Collect the terms in 1373*g**3 - g + g - 1370*g**3. 3*g**3 Collect the terms in -144*c**3 + 10*c**3 - 134*c**3. -268*c**3 Collect the terms in -3*w + 3*w - 2724*w**3 + 0*w - 2761*w**3 + 5482*w**3. -3*w**3 Collect the terms in -2*x + 11*x**3 - 27 + 4*x**3 + 3*x. 15*x**3 + x - 27 Collect the terms in 179*i + 14*i**2 - 175*i - 4*i. 14*i**2 Collect the terms in -391*s**2 - 7*s**3 + 423*s**2 + 0*s**3 + 623*s**2. -7*s**3 + 655*s**2 Collect the terms in 101065 - 477*a**3 + 6*a**2 - 6*a**2 - 101065. -477*a**3 Collect the terms in -2256 - 42*h**2 + 2256. -42*h**2 Collect the terms in 370*a + 1397*a + 4507*a + 699*a. 6973*a Collect the terms in -15*r + 33*r - 8*r - 12*r + 18. -2*r + 18 Collect the terms in 3218*i**2 + 2967*i**2 - 6207*i**2. -22*i**2 Collect the terms in 0 + 5*i**3 - 1160*i + 0 + 1157*i. 5*i**3 - 3*i Collect the terms in 425*j - 297*j - 118*j. 10*j Collect the terms in -193*b**3 - 195*b**3 + 986*b**3 - 602*b**3. -4*b**3 Collect the terms in 76*l - 39*l - 52*l - 97*l**2. -97*l**2 - 15*l Collect the terms in 1877860*t**3 - t + t - 938930*t**3 - 938929*t**3. t**3 Collect the terms in -18*g + 2*g**3 + 18*g + 491 - 491. 2*g**3 Collect the terms in -574*z - 519*z - 4 - 34*z. -1127*z - 4 Collect the terms in 5942*u**2 - 2988*u**2 - 2955*u**2. -u**2 Collect the terms in 14063*c**2 - 28118*c**2 - 3*c**3 - 32*c**3 + 14055*c**2. -35*c**3 Collect the terms in -15*n - 3 + 1 + 68*n + 2. 53*n Collect the terms in 25 - 25 - 838*c**2 - 375*c**2. -1213*c**2 Collect the terms in -u**3 - 2*u**3 + 427 - 840 + 352. -3*u**3 - 61 Collect the terms in 997 + 44*w**3 - 997. 44*w**3 Collect the terms in 4*z**2 + 2159*z + 9*z**3 - 2159*z - 2*z**2. 9*z**3 + 2*z**2 Collect the terms in 126*r - 42*r - 37*r + r**2 - 47*r. r**2 Collect the terms in 1237*z**2 - 1234*z**2 + 23043 - 23043. 3*z**2 Collect the terms in -3*s**3 - 2044*s**2 + s**3 + 155*s**2 - 6*s + 145*s**2. -2*s**3 - 1744
{ "pile_set_name": "DM Mathematics" }
reatest common factor of 139 and 632033. 139 What is the greatest common divisor of 110 and 17226? 22 Calculate the greatest common factor of 68701 and 39353. 667 Calculate the highest common divisor of 6745 and 1633. 71 Calculate the greatest common divisor of 2987 and 47689. 103 What is the highest common factor of 4920 and 4640? 40 Calculate the greatest common divisor of 1401878 and 226. 226 Calculate the highest common divisor of 162 and 260874. 54 What is the greatest common factor of 409288 and 72? 8 Calculate the greatest common divisor of 1538272 and 424. 424 Calculate the greatest common divisor of 372467 and 59. 59 What is the highest common factor of 175 and 13902? 7 Calculate the highest common factor of 10824 and 367032. 984 What is the highest common factor of 8072705 and 170? 85 What is the highest common divisor of 12575 and 225? 25 Calculate the greatest common divisor of 833 and 6776. 7 What is the greatest common factor of 1496 and 105128? 136 What is the highest common factor of 837 and 6975? 279 What is the highest common factor of 443598 and 306? 102 What is the greatest common divisor of 3041550 and 6? 6 Calculate the highest common factor of 848893 and 1. 1 Calculate the highest common divisor of 747 and 4879404. 747 What is the highest common factor of 535905 and 90? 45 What is the highest common divisor of 3060 and 25551? 153 What is the greatest common factor of 1180 and 82780? 20 What is the highest common factor of 9757 and 22? 11 Calculate the highest common divisor of 19633 and 1537. 29 What is the greatest common divisor of 45 and 1261590? 15 What is the greatest common factor of 362 and 374308? 362 What is the greatest common divisor of 22672 and 443848? 872 What is the greatest common factor of 207 and 442957? 23 What is the greatest common divisor of 2624250 and 12? 6 Calculate the highest common factor of 375 and 540500. 125 Calculate the greatest common divisor of 96 and 18608. 16 Calculate the greatest common divisor of 8686 and 19190. 202 What is the highest common divisor of 768 and 6816? 96 Calculate the greatest common divisor of 2296 and 4536. 56 Calculate the greatest common divisor of 6384 and 2544. 48 What is the highest common divisor of 194 and 4742? 2 What is the highest common divisor of 404784 and 24? 24 Calculate the greatest common factor of 266 and 572852. 14 What is the highest common divisor of 152 and 382717? 19 Calculate the highest common factor of 1721204 and 688. 172 What is the greatest common divisor of 277 and 59? 1 Calculate the highest common factor of 123180 and 6. 6 Calculate the highest common divisor of 876 and 1716. 12 What is the greatest common divisor of 7 and 9898567? 7 What is the greatest common divisor of 4161 and 2337? 57 What is the greatest common divisor of 11800 and 140? 20 What is the greatest common divisor of 29189 and 101? 101 What is the highest common factor of 10062 and 126? 18 What is the greatest common divisor of 10 and 5524? 2 Calculate the greatest common factor of 6486 and 5358. 282 Calculate the highest common divisor of 83336 and 264. 88 Calculate the greatest common divisor of 1194417 and 189. 63 Calculate the highest common factor of 86541 and 2457. 273 Calculate the greatest common factor of 963 and 343149. 321 What is the highest common divisor of 92 and 10588? 4 Calculate the greatest common factor of 97390 and 25. 5 What is the greatest common factor of 3052 and 4796? 436 Calculate the highest common factor of 48 and 236688. 48 Calculate the greatest common divisor of 11573 and 1420. 71 Calculate the highest common divisor of 4063 and 5258. 239 What is the highest common divisor of 496 and 42222? 62 Calculate the highest common factor of 10 and 3401890. 10 Calculate the highest common divisor of 65 and 135. 5 What is the highest common factor of 7584948 and 42? 42 Calculate the highest common factor of 9855 and 7008. 219 What is the greatest common divisor of 555 and 45880? 185 What is the greatest common factor of 291 and 401483? 97 What is the highest common divisor of 3700110 and 4350? 870 What is the highest common factor of 2361 and 1760519? 787 What is the greatest common factor of 242 and 27698? 22 What is the greatest common factor of 5909 and 13072? 19 What is the highest common divisor of 6903 and 147186? 117 What is the greatest common factor of 526 and 764278? 526 What is the highest common divisor of 6167 and 259? 7 What is the highest common factor of 74075 and 15? 5 Calculate the highest common divisor of 2774 and 5396. 38 Calculate the highest common divisor of 8717 and 1035. 23 What is the highest common divisor of 1220 and 324215? 305 Calculate the highest common factor of 272 and 1717. 17 What is the highest common divisor of 1296 and 28? 4 What is the highest common factor of 16416 and 25099? 19 What is the highest common factor of 7474 and 1414? 202 Calculate the highest common divisor of 14 and 241514. 14 Calculate the greatest common factor of 473728 and 512. 128 Calculate the highest common factor of 1035252 and 4023. 1341 What is the highest common divisor of 1822296 and 168? 168 Calculate the highest common divisor of 6 and 55257. 3 What is the highest common factor of 2646431 and 107? 107 What is the greatest common factor of 16400 and 410? 410 Calculate the highest common factor of 185568 and 12. 12 What is the highest common factor of 1110 and 103674? 222 Calculate the greatest common divisor of 130347 and 14. 7 What is the greatest common factor of 486 and 3882? 6 Calculate the greatest common factor of 47677 and 5831. 343 Calculate the highest common divisor of 2970 and 12595. 55 What is the greatest common divisor of 69 and 1599397? 23 Calculate the greatest common divisor of 14 and 1253294. 14 What is the greatest common divisor of 352 and 135586? 22 Calculate the highest common factor of 1680 and 121632. 336 Calculate the highest common factor of 95 and 52554. 19 What is the greatest common divisor of 834 and 46982? 278 What is the greatest common divisor of 58716 and 84? 84 Calculate the highest common divisor of 3790096 and 16. 16 Calculate the greatest common divisor of 1971 and 1467. 9 Calculate the highest common divisor of 828 and 39537. 207 What is the highest common divisor of 415770 and 45? 15 What is the greatest common divisor of 256 and 105856? 128 Calculate the highest common factor of 157191 and 13137. 453 Calculate the highest common factor of 429 and 3732. 3 Calculate the highest common divisor of 334961 and 1221. 407 What is the highest common factor of 7407 and 522605? 823 Calculate the greatest common factor of 2268 and 644. 28 What is the highest common factor of 1984 and 5728? 32 Calculate the highest common factor of 3080 and 4424. 56 Calculate the highest common divisor of 14614924 and 284. 284 What is the highest common divisor of 253985 and 37937? 643 What is the greatest common factor of 109837 and 568? 71 Calculate the greatest common factor of 184 and 19274. 46 What is the greatest common factor of 411 and 231? 3 Calculate the highest common divisor of 8798030 and 30. 10 What is the highest common divisor of 1368 and 3852? 36 Calculate the greatest common factor of 241637 and 121. 121 Calculate the greatest common factor of 2005 and 2807. 401 What is the greatest common divisor of 5212086 and 942? 942 What is the greatest common divisor of 6625 and 198061? 53 Calculate the greatest common factor of 4535 and 45. 5 Calculate the greatest common divisor of 2127474 and 126. 18 Calculate the highest common factor of 23745 and 105. 15 What is the highest common divisor of 2849 and 8701? 77 What is the greatest common factor of 5800 and 20648? 232 What is the greatest common divisor of 1723904 and 962? 962 Calculate the greatest common factor of 290401 and 447. 149 What is the highest common divisor of 6567 and 30? 3 Calculate the greatest common factor of 3136671 and 69. 69 What is the greatest common factor of 2280 and 4845? 285 What is the highest common divisor of 10496 and 5084? 164 Calculate the highest common factor of 1565 and 2170. 5 What is the highest common divisor of 4870 and 1280? 10 Calculate the highest common divisor of 24716 and 508348. 668 Calculate the greatest
{ "pile_set_name": "DM Mathematics" }
j(k) = k**3 - 5*k**2 - k + 7. Let r be j(5). Let m be r/(-2 + q/15). What is the highest common divisor of m and 5? 5 Let i be (-4)/(0 - 4/5) + 135. Calculate the greatest common divisor of 56 and i. 28 Suppose 15 = 5*a - 5. Suppose a*l - 5*m - 74 = 3*l, m = 3*l - 292. What is the highest common factor of 33 and l? 33 Suppose 4*g + 4*w = 16, g + 3*w = -3*g + 18. Suppose -76 + 10 = -11*f. Let c be 9*(-2 + f/(-27)*-30). What is the greatest common factor of g and c? 6 Suppose -2 = -4*h + 14. Suppose 0 = v + u - 204, v + 3*u = -h*v + 1018. Calculate the greatest common divisor of 29 and v. 29 Let v(p) = p**2 + 20*p - 84. Let n be v(6). What is the highest common factor of n and 12? 12 Let q = 429 - 357. What is the highest common factor of q and 252? 36 Suppose -3*o + o = 3*c + 14, 10 = 2*o - 3*c. Let a be (2 + o)/(7/21). Suppose a*v = 4*j + 6, v + 2*v - 5*j = 3. What is the highest common divisor of v and 48? 6 Let n be 22 + 19 + (3 + -1 - 5). What is the greatest common factor of n and 608? 38 Suppose -29*s = 569 - 946. What is the greatest common divisor of 1417 and s? 13 Suppose 5*n + 96 = 4*d, d = 8*n - 10*n + 11. Calculate the highest common divisor of d and 1159. 19 Suppose -5*n + 6*n = 10. Let z(p) = -p**2 + 12*p + 12. Let f be z(n). Let m = f + -22. Calculate the highest common divisor of 2 and m. 2 Suppose -5*u - 17 = -b + 10, 5*b = -2*u. Suppose -b*z + 93 = -35. Suppose -376 = -8*p - 120. What is the greatest common divisor of z and p? 32 Suppose 3*r - 1281 = -4*r. Suppose -4*i = -3*l - r, -3*i - l = -i - 89. What is the greatest common factor of 9 and i? 9 Let c be (5 + (-1512)/(-20))*5. What is the highest common divisor of c and 13? 13 Suppose 16*g = 21*g - 115. What is the highest common divisor of 736 and g? 23 Suppose 127 = 3*c + 5*g, -2*g + 34 + 87 = 3*c. What is the greatest common factor of 403 and c? 13 Suppose 3*i + 5 = 4*m - 0, -4*i + 14 = 5*m. Let q be 1/(m/(-4)) + 10. Calculate the highest common divisor of 8 and q. 8 Suppose 0*b + 6*b = -402. Let x = 99 + b. Calculate the greatest common divisor of 224 and x. 32 Let j = 14 + 62. Let c be (76/6)/((-2)/(-3)). What is the greatest common divisor of c and j? 19 Let z(r) = 5*r - 34. Let q be z(8). Let u(c) = 2*c**2 - 4*c - 20. Let v be u(q). Calculate the greatest common divisor of 4 and v. 4 Let l(x) = -x**2 + 4*x - 88. Let t be l(0). Let d = -77 - t. What is the highest common factor of 88 and d? 11 Let o = -9 + 27. Suppose 0 = 6*n - 78 - o. Calculate the greatest common divisor of 128 and n. 16 Let f(p) = -p + 9. Let o be f(7). Suppose -2*q + 2*k = 68, -2*q + q - 5*k = 58. Let g = q + 54. What is the highest common factor of o and g? 2 Suppose 3290 = -199*w + 234*w. Calculate the highest common factor of w and 4. 2 Suppose 0 = 4*m + 16, -5*u + 5*m - 2*m + 127 = 0. Let h = u + -13. Suppose 6 = q - 14. What is the highest common divisor of h and q? 10 Let v be -20 + (4 - -4) - -880. Calculate the greatest common divisor of 28 and v. 28 Let q(y) = 346*y**2 - 315*y**2 + 0 - 3*y + 2. Let r be q(2). Calculate the highest common factor of r and 24. 24 Let y = 211 + -112. Let x = 455 - 444. What is the highest common factor of y and x? 11 Let q be 2/6 + (-15)/(-9). Suppose 2*y - 22 = y - 4*p, 2*y = -3*p + 24. Suppose -4*x + q*x + y = 0. Calculate the highest common factor of x and 1. 1 Suppose 38*u = 173 + 321. Calculate the highest common divisor of 2249 and u. 13 Let k be ((-17)/((-204)/2424))/(1/4). What is the highest common factor of k and 101? 101 Let r(d) = -d - 3. Let a be r(-6). Suppose -3*l = -m - 44, -2*l + m + 24 = a*m. What is the highest common factor of 35 and l? 7 Let k(t) = -2*t**3 - 29*t**2 - 18*t - 10. Let r be k(-14). What is the greatest common divisor of 713 and r? 23 Let o be 1*4/(-9) - (-2564320)/4464. Calculate the greatest common divisor of o and 42. 14 Let o = 4 + -2. Let i be 2*(-3)/24*(-360)/9. Calculate the greatest common divisor of o and i. 2 Let o(h) = 16*h - 89. Let q be o(7). Calculate the greatest common factor of q and 23. 23 Suppose -2*p = 2*p + 12, -2*p = -3*q + 24. Suppose 0 = -3*m + q*m - 6. Let t = 15 + -13. What is the highest common divisor of t and m? 2 Let z = 3106 - 3076. What is the greatest common divisor of z and 180? 30 Let c be 56 + (-15)/(15/8). Calculate the greatest common divisor of c and 80. 16 Let k(h) = -h**3 + 97*h + 11. Let v be k(-11). Calculate the highest common factor of 55 and v. 55 Let h(u) = 1 + u**3 + 2*u**2 - 7 + 2*u - 4*u**2. Let k be ((-4)/(-6))/(42/189). Let a be h(k). Calculate the highest common factor of a and 1. 1 Suppose 6*j - 5*j - 42 = 0. Suppose x = -4*d + 23, 26 = 2*x - d + 5*d. Suppose 0 = x*p - j. Calculate the greatest common factor of 14 and p. 14 Let x = -317 + 445. Suppose -5*d - 64 = -7*d. Calculate the greatest common divisor of x and d. 32 Let i = -82 - -83. Let a = i - -13. Let m = -65 + 100. Calculate the greatest common factor of a and m. 7 Let p = -37 + 77. Suppose 137*x - 135*x = 10. What is the highest common factor of x and p? 5 Suppose 0 = -5*n - 4 + 19. Suppose -4*w = 3*k - n*w - 62, 4*k + 3*w = 86. What is the highest common factor of 80 and k? 20 Let a = 21 + -11. Let r be ((-4)/a)/((-1)/70). Let b = r + 40. What is the highest common divisor of b and 17? 17 Suppose -2*d + d + 52 = 0. Let k(g) = g**2 + 4*g - 5. Let w be k(-5). Suppose w*r - 39 = -3*r. What is the greatest common factor of r and d? 13 Suppose -h = -4*b + 324, -2*b + h - 168 = -4*b. Suppose -2*a = -62 - b. What is the greatest common factor of a and 12? 12 Let f = -12 - -200. Suppose 0 = 2*x - 5*j - f, x - 2*j - 68 = 27. Calculate the highest common factor of 9 and x. 9 Suppose -4 - 1 = 5*w, w - 69 = 2*i. Let a = i + 39. Suppose 240 = a*g - 2*g. What is the highest common divisor of 15 and g? 15 Let y(s) = -s**2 + 57. Let w be y(7). Let q = 80 - -72. Calculate the highest common divisor of q and w. 8 Let q(u) be the first derivative of 22*u**3/3 - u**2 - 4*u - 2. Let g be q(-3). Suppose -43 = -3*n + 32. Calculate the highest common divisor of g and n. 25 Suppose 2*r + 0*r = 2*j + 38, -4*r = -j - 64. Let x be (-1046)/(-6) - 5/r. What is the highest common factor of x and 29? 29 Suppose 0 = -2*s + 18 + 126. Let o = 23 + -15. Calculate the greatest common factor of o and s. 8 Suppose -3*y - 5*h = -56, 2*h - 118 = -4*y + 4*h. What is the greatest common divisor of y and 15? 3 Suppose -28 = -0*f + 2*f. Let c be (-865)/35 + 4/f. Let u be (0 + -17)/(5/c). Calculate the highest common divisor of 34 and u. 17 Suppose o - 12 = -3*o. Let w(r) = -r**2 - 13*r - 41. Let h be w(-5). Let x(b) = -26*b - 5. Let v be x(h). Calculate the highest common divisor of v and o. 3 Let p be ((-1161)/36)/(3/(-12)). Calculate the greatest common divisor of p and 86. 43 Let g = -19 + 44. Let u = g - 24. What is the highest common divisor of u and 7? 1 Let k(v) = -8*v - 1. Let o(p) = -p. Let h(f) = -k(f) + 2*o(f). Let l be h(3). What is the highest common factor of 171 and l? 19 Let l = 644 + -617. What is the highest common factor of 12 and l? 3 Let n(g) = 12*g + 6 + 21 - 16*g. Let x be n(-18). What is the greatest common factor of 9 and x? 9 Let d be (2 - 30/35)*(-14)/(-4). Suppose d*x = 6*x - 2. What is the greatest common divisor of 11 and x? 1 Suppose -t = 3*n + 7 - 37, -2*n = -2*t - 12. Suppose n*b = 5*b + 140. Let w = b + -30. Calculate the highest common factor of w and 40. 5 Let z = -20 + 23. Suppose 21 = y + z. Calculate the highest common factor of 90 and y. 18 Let p be (-7 - -4)/((-6)/196). Let d = -68 + p. Suppose 3*r - d = 3*h - 0*h, -2*h - 47 = -5*r. What is the highest common divisor of r and 81? 9 Let y be (-1 - 9)*10/(-2). Let i = -112 + 10. Let u be (-4)/20 - i/10. Calculate the greatest common factor of y and u. 10 Let g(z) = z**3 - 3*z**2 - 3*z. Let m be g(4). Let k be (22/(-3))/(m/(-18)). Let l = 5145 - 5123. What is the greatest common divisor of k and l? 11 Suppose 7*d = -3*o + 2*d - 19, -o = 2*d + 7. Let t be (-350)/15 + o/(-9). Let n = 38 + t. What is the highest common divisor of n and 60? 15 Suppose 6 = -3*n + 3*q, -6*n - 4*q = -n - 17. Let d(o) = -o - 2. Let t be d(-3). Calculate the highest common factor of t and n. 1 Suppose -11*b + 9*b - 2*z = -880, 0 = 2*b - z - 871. What is the greatest common factor of b and
{ "pile_set_name": "DM Mathematics" }
168 and 12. 168 What is the smallest common multiple of 8152 and 4? 8152 Calculate the smallest common multiple of 28 and 2088. 14616 Calculate the common denominator of -43/44 and 101/144. 1584 Calculate the common denominator of 56/143 and 31/52. 572 What is the common denominator of -53/1490 and -58/9? 13410 What is the least common multiple of 10 and 472? 2360 Calculate the common denominator of -49/171 and 12/95. 855 Find the common denominator of -56/2277 and -8/81. 20493 Calculate the common denominator of -71/42 and -13/56. 168 What is the smallest common multiple of 8 and 6076? 12152 Calculate the common denominator of -139/1386 and 73/4620. 13860 Calculate the common denominator of -21/16148 and -33/16. 64592 What is the lowest common multiple of 5337 and 6? 10674 What is the least common multiple of 725 and 5? 725 Calculate the smallest common multiple of 18 and 7288. 65592 Calculate the least common multiple of 14256 and 72. 14256 Calculate the common denominator of -61/20 and -17/8548. 42740 Calculate the common denominator of 143/70 and -93/2450. 2450 What is the lowest common multiple of 112 and 94? 5264 Find the common denominator of -41/126 and 80/63. 126 Calculate the least common multiple of 7 and 7. 7 Calculate the smallest common multiple of 80 and 1040. 1040 Calculate the smallest common multiple of 3956 and 16. 15824 What is the common denominator of 82/195 and 29/455? 1365 Calculate the common denominator of 9/220 and 85/4. 220 What is the lowest common multiple of 8800 and 792? 79200 Calculate the smallest common multiple of 125 and 625. 625 Calculate the lowest common multiple of 20 and 406. 4060 What is the common denominator of -25/1293 and 29/165? 71115 Calculate the least common multiple of 346 and 5. 1730 Find the common denominator of 93/1034 and -49/188. 2068 Find the common denominator of 43/4137 and -88/189. 37233 Calculate the least common multiple of 203 and 203. 203 Find the common denominator of -97/494 and -37/190. 2470 What is the smallest common multiple of 450 and 12? 900 Find the common denominator of 57/2224 and 111/10. 11120 What is the smallest common multiple of 40 and 475? 3800 What is the smallest common multiple of 360 and 48? 720 Calculate the least common multiple of 68 and 176. 2992 What is the common denominator of 67/483 and -141/3220? 9660 Calculate the lowest common multiple of 16640 and 14560. 116480 Calculate the least common multiple of 68 and 68. 68 Find the common denominator of -101/30 and 62/63. 630 What is the common denominator of 107/30 and 145/66? 330 What is the common denominator of -117/448 and -13/6? 1344 What is the least common multiple of 618 and 3? 618 Calculate the lowest common multiple of 1408 and 20. 7040 Find the common denominator of 53/24 and -71/32. 96 What is the lowest common multiple of 44 and 100? 1100 Calculate the common denominator of 97/2230 and -11/2. 2230 What is the smallest common multiple of 78 and 120? 1560 Calculate the common denominator of -71/508 and 41/232. 29464 Calculate the smallest common multiple of 306 and 732. 37332 Calculate the common denominator of 1/90 and -33/190. 1710 What is the common denominator of -79/108 and 31/2? 108 What is the least common multiple of 3 and 3824? 11472 Calculate the lowest common multiple of 297 and 1728. 19008 Calculate the least common multiple of 26 and 10. 130 What is the smallest common multiple of 100 and 100? 100 Find the common denominator of 97/48 and 19/63. 1008 Find the common denominator of -121/24 and -115/54. 216 What is the lowest common multiple of 4998 and 2940? 49980 Calculate the common denominator of -95/82 and 69/4. 164 Find the common denominator of 53/12 and 133/24. 24 Calculate the least common multiple of 48 and 144. 144 Calculate the smallest common multiple of 862 and 120. 51720 Calculate the common denominator of -71/3 and 97/160. 480 What is the common denominator of 61/256 and 137/192? 768 What is the common denominator of -111/20 and -65/3652? 18260 What is the common denominator of 70/27 and -16/15? 135 Calculate the smallest common multiple of 45 and 210. 630 Calculate the common denominator of 85/189 and -39/10. 1890 Calculate the smallest common multiple of 11 and 9. 99 Find the common denominator of -95/154 and -105/44. 308 Calculate the lowest common multiple of 22 and 55. 110 What is the common denominator of -31/80 and -13/2256? 11280 Calculate the smallest common multiple of 225 and 1377. 34425 What is the least common multiple of 522 and 1392? 4176 Calculate the least common multiple of 2 and 1127. 2254 Calculate the least common multiple of 14 and 1568. 1568 Calculate the common denominator of 73/1629 and -73/15. 8145 Find the common denominator of 77/3006 and -67/1503. 3006 What is the lowest common multiple of 440 and 50? 2200 Calculate the lowest common multiple of 22 and 4394. 48334 Calculate the common denominator of 34/43 and 83/6. 258 Calculate the least common multiple of 60 and 72. 360 What is the lowest common multiple of 80 and 185? 2960 Find the common denominator of -47/1359 and 23/4983. 14949 Calculate the lowest common multiple of 25 and 145. 725 Calculate the common denominator of -52/6915 and -63/3688. 55320 What is the smallest common multiple of 50 and 150? 150 What is the least common multiple of 7 and 945? 945 What is the common denominator of 79/126 and -137/42? 126 Calculate the lowest common multiple of 112 and 63. 1008 Calculate the smallest common multiple of 22 and 96. 1056 What is the lowest common multiple of 240 and 18? 720 What is the common denominator of -14/275 and -18/7? 1925 What is the lowest common multiple of 2 and 9? 18 What is the least common multiple of 13 and 3? 39 Calculate the least common multiple of 1098 and 366. 1098 Calculate the smallest common multiple of 1223 and 5. 6115 What is the lowest common multiple of 12 and 8? 24 What is the least common multiple of 8442 and 28? 16884 What is the common denominator of 9/209 and -49/893? 9823 Calculate the common denominator of -38/15 and 86/651. 3255 Calculate the lowest common multiple of 256 and 176. 2816 Find the common denominator of -101/552 and -71/246. 22632 What is the common denominator of 5/128 and -83/80? 640 What is the common denominator of -39/5 and -7/4? 20 What is the common denominator of -13/15 and 187/930? 930 What is the lowest common multiple of 1496 and 528? 8976 Calculate the least common multiple of 518 and 6. 1554 What is the lowest common multiple of 452 and 10? 2260 Calculate the smallest common multiple of 150 and 40. 600 What is the least common multiple of 102 and 93? 3162 Find the common denominator of -61/15 and -61/21. 105 Find the common denominator of -1/12 and -4/3. 12 Calculate the smallest common multiple of 2538 and 12. 5076 Calculate the smallest common multiple of 775 and 620. 3100 Find the common denominator of -13/98 and 68/441. 882 What is the common denominator of 47/420 and -45/224? 3360 Calculate the common denominator of -83/2091 and 59/21. 14637 Calculate the lowest common multiple of 1008 and 384. 8064 What is the common denominator of 47/2310 and -53/462? 2310 Calculate the common denominator of 23/130 and 47/13. 130 Calculate the common denominator of -9/4 and 85/704. 704 What is the smallest common multiple of 196 and 98? 196 What is the common denominator of 7/9 and -173/90? 90 Calculate the common denominator of -167/2280 and 5/1596. 15960 What is the common denominator of 123/2690 and 83/2690? 2690 What is the common denominator of 68/275 and -79/500? 5500 Find the common denominator of -31/6 and 19/98. 294 What is the common denominator of -49/55 and 13/4? 220 Calculate the common denominator of 85/189 and -22/3639. 229257 What is the smallest common multiple of 3726 and 297? 40986 Calculate the common denominator of 39/4408 and -73/5510. 22040 Calculate the smallest common multiple of 27 and 186. 1674 Calculate the lowest common multiple of 22 and 660. 660 What is the common denominator of 73/5740 and -65/14? 5740 Find the common denominator of -29/20 and 149/24. 120 Calculate the smallest common multiple of 780 and 312. 1560 Calculate the common denominator of -43/9 and -2/1489. 13401 Calculate the common d
{ "pile_set_name": "DM Mathematics" }
j + 100. Solve -3*q = -7*q - j for q. -5 Let p(y) = 5*y**2 - 31*y + 9. Let i be p(6). Solve -i = 3*k - 0*k for k. -1 Let k(c) = -8*c - 106. Let n be k(-14). Solve i + 20 = n*i for i. 4 Let g be (-28)/(-6)*(-36)/(-42). Suppose -i + 10 = -2*i. Let a be g/i + (-36)/(-15). Solve -a*q = -q for q. 0 Suppose -2*c + 12 = 2. Suppose 30 = -c*k + 7*k. Suppose -k = -2*h - 3*h. Solve -h*w = -2*w for w. 0 Let r be (-41)/(-82) - (-66)/4. Solve 3*q = -14 + r for q. 1 Let c(k) = -k - 26. Let y(b) = 4*b + 129. Let q(z) = -11*c(z) - 2*y(z). Let t be q(-9). Solve -t = 3*f + 14 for f. -5 Let d be (2 + -4 + 0)/(2/(-152)). Suppose 149 = -3*w + d. Solve m + 6 - w = 0 for m. -5 Let n = 10 - 6. Let w = 12 + -10. Suppose -3*o + 7*o - 40 = -w*l, o = -n*l + 59. Solve 5*d = -l - 6 for d. -4 Let a be 7/(14/228) + (1 - -2). Suppose -5*q + a = 4*j, -2*q - 13 = -3*j - 69. Solve 7*w + q = 2*w for w. -5 Let j(y) = 3*y**3 + y**2 - 21*y + 21. Let b be j(1). Solve -7*x = -31 - b for x. 5 Suppose -3*v = -5*v - 50. Let x = v + 27. Suppose -l - x*l = -h - 45, -85 = -5*l + 5*h. Solve 3*o = -5 + l for o. 3 Let w be ((-2)/5)/((-99)/1485). Solve 2*a - w = -0*a for a. 3 Let x(v) = v**3 - 7*v**2 + 2*v + 7. Let t be x(7). Suppose -t + 6 = -3*r. Suppose -2*u + 3*u = -r*d, -u = d. Solve -5*j + u*j + 10 = 0 for j. 2 Let u(c) = 18*c - 195. Let v be u(11). Solve d = -v*d + 8 for d. 2 Let x = 35 - 32. Suppose -3*z + x*k = -18, -5*k + 2 = 3*z - 16. Suppose -3*j + 5*b = 15, -j + 2*b - 6*b = -12. Solve j = s - 2 + z for s. -4 Suppose -5*q = -4*w - q + 36, 3*q + 17 = w. Solve -g + 8 = w for g. 3 Let r(x) = -x**3 + 8*x**2 - x + 9. Let i be r(8). Let k be (i + -1)/(-8 - -9). Suppose k = 4*j + w - 17, -3*w + 0 - 19 = -2*j. Solve 0 = -j*s + 3*s - 10 for s. -5 Let i be (-1 - 28)*(2 - 3). Suppose 5*w - 31 - i = 0. Suppose -16*d + w*d = 0. Solve -s + 0*s + 4 = d for s. 4 Let l = 14 + -14. Suppose l = -3*s + s - 8, 0 = -y - s - 1. Let r be (5 + -7)/((-1)/y). Solve 0*n - 2*n = -r for n. 3 Let v = 33 + -29. Let y be v/(32/44) + (-4)/8. Suppose -f = -4*f + 9. Solve -y*x + f = -7 for x. 2 Let x(a) = a**2 + 6*a - 4. Let k be x(-7). Suppose 7*p - 5*n = k*p + 4, -4*p - 2*n = -32. Solve -3 = -d - p for d. -3 Let v be (-2)/(-22) + (-2349)/(-297). Solve 2*k = v*k - 12 for k. 2 Let d be (2/4)/(1/2)*7. Solve -3*m = -d + 1 for m. 2 Let f = 595 - 593. Suppose 1 + 7 = 2*t + 4*o, t - o = 16. Solve f*n + t = 5*n for n. 4 Suppose 48*v = 45*v + 12. Let n be (-2)/(-6)*(v - 1). Solve -n = t - 2*t for t. 1 Suppose 51*m - 476 = 17*m. Solve 0 = -3*i + 1 + m for i. 5 Suppose -5*r + 3*f - 4*f + 12 = 0, 2*r + f = 6. Suppose 0*q - 14 = r*q. Let i = q - -12. Solve -7 = i*u - 2 for u. -1 Let x(n) = -n**3 + 44*n**2 - n + 63. Let p be x(44). Solve p*z = 16*z - 12 for z. -4 Let o(f) = f**3 - 6*f**2 - 13*f - 7. Let q be o(8). Let t = 32 - q. Solve 0 = 4*y + t + 5 for y. -5 Let k(i) = 17 - 8 - 3*i - 15. Let v be k(-7). Solve -4*s - 3 = -v for s. 3 Suppose -747 + 2817 = 30*h. Solve 67*i + 2 = h*i for i. 1 Let k = 76 + 77. Suppose k - 147 = 3*d. Solve -d*f = -4*f - 6 for f. -3 Suppose 107*i - 187 = 134. Let a = 4 + -4. Solve 2*j + j - i = a for j. 1 Suppose 5*p + 47 = g, 22 = 4*p + 2. Let m = g - 68. Solve m*n + 2 = -10 for n. -3 Let i = -30 - -35. Suppose 4*v = -4*l + i + 11, -1 = -v. Let s be 0 - 1 - (-6)/2. Solve l - s = -w for w. -1 Suppose 81 = -6*w + 21. Let q = w - -11. Suppose 0 = -0*u + 2*u. Solve u = x - 0*x + q for x. -1 Suppose 4*h - 20 = -0*h. Let w = 660 + -660. Solve w*d = d + h for d. -5 Suppose 5*d = -132 - 103. Let g = d - -80. Let a = 41 - g. Solve -a = 3*u - 20 for u. 4 Suppose 2*c + 4*m = -0*m - 52, -c = -2*m + 30. Let y be 2/3 + c/(-12). Solve 0 = -y*w - 0*w + 6 for w. 2 Let m(l) = l**3 + 7*l**2 + 6*l + 1. Let t be m(-6). Let a(c) = -7*c - 7. Let q be a(-3). Let k = q + -12. Solve -t = -k*f - 3 for f. -1 Let z(b) = -b**2 + 17*b - 39. Let k be z(12). Solve 3*p = -4*p - k for p. -3 Suppose 0 = -2*u - 13 - 7. Let k = -7 - u. Suppose -3*n + 4*c = -10, -k*n + 4*c - 3*c = -7. Solve 3*b = -n*b + 25 for b. 5 Let v = -32 - -35. Suppose -v*m - q + 13 - 5 = 0, 0 = 3*q - 15. Solve -m = -4*g - 5 for g. -1 Let y be 4/(16/12) - 2. Solve 5*f - y + 21 = 0 for f. -4 Let r be 0/(-4) + 3 + -2 + 0. Solve -3*j = r - 1 for j. 0 Let h = -6 - 5. Let b = h - -13. Suppose 0*o = b*o. Solve o = 2*v - 5 - 3 for v. 4 Let o = -11 + 8. Let p be -3*(2/o + 4). Let b = p + 14. Solve b*h + 0 = 4 for h. 1 Suppose 4*h - l - 3 = 0, 3*l + 0*l = 15. Let k be 1/5 - h/10. Solve n - 3*n = k for n. 0 Suppose 3*w - 2*b - 17 = -0*b, 3*b = -3. Suppose w*t + 2*t = 42. Solve -t - 3 = 3*q for q. -3 Let w = -24 + 26. Suppose 0 = -h - 5*x - 4, 2*x + w = 3*h - 3. Solve 2*u - 3 + h = 0 for u. 1 Let p be (-2)/4*-4 + (-10 - -10). Solve p = -2*l + 4 for l. 1 Let w be 24/16 - (-9)/(-6). Solve v + 7*v - 16 = w for v. 2 Let q be (-9)/(216/(-28)) + 1/(-6). Let a be 1/q*(4 - 4/(-4)). Solve 10*f + 10 = a*f for f. -2 Let w be 1/((-1)/1)*-9. Suppose w*b - 51 = -6. Solve 21 + 4 = -b*v for v. -5 Let i be 90 - 72 - -1*(-4 + -1). Solve -12*c = -i*c - 4 for c. -4 Let l = 7 + -7. Suppose 0 = 5*k + 60 - 85. Solve -k*t + l*t = 10 for t. -2 Let b(a) = -a**2 - 8*a - 3. Let p be b(-7). Suppose p*h = -20, -h = -3*k + 4 + 10. Let r = k - -1. Solve -26 = r*c - 6 for c. -5 Suppose 84 - 44 = 20*t. Solve 0 = t*n - 23 + 33 for n. -5 Suppose 20 = -4*o, -9*c - 3*o = -4*c - 15. Solve -14*j + 16*j + c = 0 for j. -3 Suppose 38*m - 36*m = 4. Let t be 11 - (-1 - (m - 6)). Solve 0 = -4*y + 2*y + t for y. 4 Let x(m) = m**3 + 14*m**2 + 6*m - 84. Let i be x(-13). Solve i*o = -38 + 66 for o. 4 Let l be (5 - 2) + 0 + 12. Let f be 8 + 1*4/2. Suppose 15 = 5*j - f. Solve j*a + l = 2*a for a. -5 Suppose 67 = -3*i - 5*s + 346, -2*i + 161 = -5*s. Suppose -7*n - 4 = -i. Solve -2*y - n = y for y. -4 Let t be ((-60)/(-6))/(4 - 2). Suppose -14 = -5*r + u, 2*r = t*u + 2 - 1. Solve 0 = 4*h - r*h + 4 for h. -4 Suppose -9*a = -6*a - 54. Let d = -18 + a. Solve d = 2*z + 3*z + 10 for z. -2 Suppose -3*m - 3*i - 21 = 60, m + 27 = 2*i. Let k = m - -32. Solve -20 = k*j - 0 for j. -4 Suppose -a + 4*s - 32 = 3*a, -5*a - 4*s = 58. Let q be 22/(-3) - a/30. Let z(v) = -v**3 - 6*v**2 + 5*v - 4. Let o be z(q). Solve -4*b - b = o for b. -2 Let a(w) = -5*w - 5. Suppose -4*d + 3*j + 42 = 0, -2*j + 36 = 5*d - 5. Let r be a(d). Let s = -30 - r. Solve m + s = -4*m for m. -4 Let t = -17 - -19. Suppose -5*b - 134 = -159. Solve 9 = b*k - t*k for k. 3 Let j(a) = -4*a**2 + 17*a - 1. Let u be j(4). Solve r = u*r + 8 for r. -4 Suppose 5*g - 7*r - 27 = -11*r, -3*r + 15 = 2*g. Solve -g*c - 2 = 4 for c. -2 Suppose d - 33 = -5*y - 10, 0 = 2*d - 2*y - 22. Suppose 0 = n - 16 + d. Solve n*p = p for p. 0 Suppose 17*i = 12*i + 25. Let n be (i/(-15))/((-1)/6). Suppose 0 = -5*d - k + 15, -n*k + 5*k = 3*d - 27. Solve -d*x = x for x. 0 Let t(w) = -2*w + 7. Let v be t(2). Let l = -102 - -104. Solve v = -l*a + 1 for a. -1 Let d be (-1)/(3*4/(-60)). Suppose 6*n = d*n. Solve 3*a - 7*a = n for a. 0 Let r(l) = -l**3 + 4*l**2 + 11*l + 34. Let c(m) = 6*m**3 - 19*m**2 - 56*m - 171. Let k(x) = 2*c(x) + 11*r(x). Let d be k(-5). Solve 0 = -2*z + 6*z - d for z. 3 Suppose -z + 3*z = 2. Let n be 144/9 - 4 - 12. Solve -4*s - 5 + z = n for s. -1 Suppose 111 = 13*s - 32. Solve -s*i + 6 = -17*i for i. -1 Let j = 5 - 5. Let c(u) = -5*u**2 + 23*u - 15. Let l(p) = -p**2 + p + 1. Let t(m) = -c(m) + 4*l(m). Let y be t(18). Solve -g - 1 - y = j for g. -2 Let f = -133 - -133. Solve f = -w - w + 6 for w. 3 Suppose 0*f + 16 = 3*f - 4*g, -5*f - 2*g = -44. Suppose 42*s - 79 = 131. Solve -s*u + f = -7*u for u. -4 Let j = -2375 - -2380. Solve 42*z = 37*z + j for z. 1 Suppose 11*u = 16*u - 2*a - 195, -15 = -3*a. Solve 84 + u = 25*m for m. 5 Let y be (4/2 + -1)/(36/468). Solve -5*r = -y + 3 for r. 2 Let p = 382 - 334. Solve p*x = 52*x - 8 for x. 2 Let m(c) = c**3 + 7*c**2 + c + 21. Let n be m(-7). Solve -r + 16 = n for r. 2 Suppose q = 4*r + 22, 2*r + 0*r + 5*q = -22. Let u be (-26)/r + 10/15. Suppose j = w - 8, u*w = 2*j - 5*j. Solve -3 = -3*c + w for c. 2 Let m be (-3 - 17)/(-4) - 3. Suppose 2*o - m = 14. Let h = o - -7. Solve 0 = -4*y + 3 - h for y. -3 Suppose -q + 2*r + 44 = -0*r, -r = -3*q + 122. Let v = q - 38. Solve 1 = -c + v*c for c. 1 Suppose 5*z - 84 - 36 = 0. Let j = 24 - z. Solve 4*l - 5
{ "pile_set_name": "DM Mathematics" }
w(r) = 12*r - 2. Let y(d) = 2*c(d) + w(d). Let m(o) = -1. Let z(i) = -i**2 - 1. Let b(v) = m(v) - z(v). Calculate y(b(j)). 2*j**2 Let c(v) = -10325*v. Let b(q) = -28*q**2. Calculate b(c(m)). -2984957500*m**2 Let g(m) = 3*m. Let f(p) = 10670*p + 873. Let d(t) = -49*t - 4. Let n(h) = 873*d(h) + 4*f(h). What is g(n(y))? -291*y Let w(u) = -5*u. Let v(r) = -7*r + 61. Let q(d) = -3*d + 32. Let b(j) = -5*q(j) + 2*v(j). Give w(b(g)). -5*g + 190 Let y(v) = 2*v**2. Suppose -c + 5*c - 8 = 0. Suppose -c*p - 8 = -5*x, 0 = 4*x - p + 6*p - 13. Let u(d) = x*d - 2*d - 2*d. Calculate y(u(s)). 8*s**2 Let b(x) = 2*x**2. Let q(f) = -892*f + 21. Calculate b(q(a)). 1591328*a**2 - 74928*a + 882 Let p(l) = -14*l. Let x(r) = -5*r. Let y(b) = -3*b**3 - 3*b**2 - b + 3. Let g be y(-2). Let z(d) = g*x(d) - 6*p(d). Let a(t) = 19*t**2. What is z(a(u))? -19*u**2 Let x(s) = -984*s**2. Let g(f) = -2*f**2 - 198*f - 149*f + 347*f. Determine x(g(i)). -3936*i**4 Let d(a) = -a**2. Let r(v) = 2957*v**2. What is d(r(i))? -8743849*i**4 Let o(d) be the second derivative of -5*d**3/6 + 21*d - 1. Let j(v) = 4*v**2 - 3 + 2 + 1. Give o(j(f)). -20*f**2 Let b(n) = 5*n. Let k(u) = 5*u - 15. Let d be k(8). Let o = 29 - d. Let t(l) = -o*l - l - l + 3*l. Calculate b(t(p)). -15*p Let w(x) = 7*x. Let h(y) = 26*y - 17*y - 9*y - 6*y. What is h(w(a))? -42*a Let c(p) = 477*p**2. Let o(y) = y - 30. Give o(c(m)). 477*m**2 - 30 Let x(g) = 5*g. Suppose 7 = -2*b + 3*p + 2, 5*p - 5 = 5*b. Let r(j) = -j**2 - 3*j**b + 27 - 27. Calculate r(x(d)). -100*d**2 Let p be ((-18)/(-108))/(1 - -1). Let s(q) be the third derivative of 0*q**3 + p*q**4 + 0 + 0*q + 2*q**2. Let i(o) = 3*o. What is s(i(h))? 6*h Let w(i) = -2*i**2. Let h(n) = -15759 + 154*n**2 + 15759. Give h(w(a)). 616*a**4 Let y(a) = -4*a. Let z(k) be the third derivative of 49*k**5/20 + 3*k**2 + 2*k. Calculate z(y(b)). 2352*b**2 Let q(j) be the first derivative of -8*j**3 - 2. Let s(c) = -c - 57804 + 57804. What is q(s(w))? -24*w**2 Let p = -8 + 10. Let w(m) = 3*m - p*m + 2*m. Let y(q) be the second derivative of 5*q**3/6 + 2*q. Determine y(w(x)). 15*x Let r(f) = -3*f + 2. Let b(p) = 3*p - 3. Let v(o) = 2*b(o) + 3*r(o). Let w(h) be the first derivative of 7 + 0*h - 1/3*h**3 + 0*h**2. What is v(w(c))? 3*c**2 Let z(x) = -x**2. Suppose -16 + 54 = 19*f. Let d(k) be the second derivative of 0*k**f + 0*k**3 - 4*k + 0 + 3/4*k**4. Give z(d(p)). -81*p**4 Let q(d) = 29*d. Let j(f) be the third derivative of f**7/5040 - 7*f**5/20 - 24*f**2. Let m(w) be the third derivative of j(w). Determine m(q(u)). 29*u Let a(r) = -1793*r. Let u(j) = -199*j**2. Determine u(a(x)). -639754951*x**2 Let f(m) = 2545*m + 4. Let q(g) = -7*g. Calculate f(q(x)). -17815*x + 4 Let p(j) be the first derivative of -13*j**4/24 - j**2/2 + 20*j + 54. Let t(q) be the second derivative of p(q). Let s(g) = -4*g**2. Determine s(t(l)). -676*l**2 Let o(v) = 9*v. Let g(p) be the first derivative of -p**2/2 - 224. Calculate o(g(u)). -9*u Let d(k) = -21*k**2. Let w(u) = -10861*u. Give w(d(x)). 228081*x**2 Let l(f) = -161*f. Let y(s) = -2*s**2 - 3*s - 6. Let b(v) = -10*v**2 - 14*v - 28. Let c(u) = 3*b(u) - 14*y(u). Calculate l(c(q)). 322*q**2 Let w be 6/(-2) + 11 + -6. Let q(f) = -13*f**w - 18*f**2 + 33*f**2. Let b(k) = -3*k - 5. Let p(v) = -3*v - 4. Let c(y) = -4*b(y) + 5*p(y). What is q(c(i))? 18*i**2 Let j(s) = 7*s**2 - 5*s. Let b(r) be the second derivative of -r**3 - 74*r. What is b(j(m))? -42*m**2 + 30*m Let c(x) = -6*x - 3. Let j(v) = 11*v**2 + 6*v. Let z(i) = 9*i**2 + 5*i. Let m(k) = 5*j(k) - 6*z(k). Give m(c(l)). 36*l**2 + 36*l + 9 Let p(v) = -2*v**2. Let d be (-1 - (-1 + 0))/(6 - 4). Let y(g) be the second derivative of 1/3*g**3 + d*g**2 + 0 + g. Give p(y(q)). -8*q**2 Let f(g) = 21*g. Let n(j) = 6*j + 2*j + j - 11*j. Determine n(f(u)). -42*u Let x(k) = 2*k**2. Let d(z) = -168*z**2 + 133*z. Determine d(x(t)). -672*t**4 + 266*t**2 Let o(v) = -2*v**2. Let m(p) = 3*p + 9622*p**2 - 9625*p**2 + p. Calculate m(o(z)). -12*z**4 - 8*z**2 Let z(l) be the first derivative of 0*l + 1/2*l**2 - 10. Let a(o) = -8*o. What is z(a(x))? -8*x Let p(c) = -51703*c. Let f(v) = v. What is p(f(x))? -51703*x Let f(t) = -2*t. Let q(n) = -9 - 23870*n + 23870*n + 5*n**2. Calculate q(f(w)). 20*w**2 - 9 Let d(x) = 6016*x - 1. Let b(m) = m**2. Determine d(b(l)). 6016*l**2 - 1 Let f(v) = 34*v. Let c(g) = -434*g + 2. Calculate c(f(k)). -14756*k + 2 Let j(h) = 17*h**2. Let q be (-26)/(-4) - (-3)/18*-3. Let d(c) = -20*c. Let l(f) = 7*f. Let r(y) = q*d(y) + 17*l(y). Determine r(j(a)). -17*a**2 Let t(a) = -180*a + 31. Let r(n) = -8*n. Calculate t(r(w)). 1440*w + 31 Let o(p) be the second derivative of -p**4/12 + 65*p. Let n(g) = -2*g**2 + 1. Give o(n(l)). -4*l**4 + 4*l**2 - 1 Let k(h) = 8641*h. Let a(f) = -203*f. Give a(k(j)). -1754123*j Let d(g) be the first derivative of -g**2/2 - 155. Let p(u) be the first derivative of -4*u**3 + 2. Give p(d(w)). -12*w**2 Let g(b) = 263*b. Let c(k) = -57*k. Calculate g(c(m)). -14991*m Let y(j) = -2*j**2. Let n(v) be the third derivative of -11*v**4/12 + 19*v**2. Give y(n(f)). -968*f**2 Let i(m) = -537 - 15*m + 274 + m**2 + 263. Let a(g) = -5*g. Give a(i(p)). -5*p**2 + 75*p Let c be (-3)/(0 + -5 - -2). Let m(v) = 9 + v - c - 8. Let n(r) = -5 + 5 - r. What is m(n(p))? -p Let p(b) = 3*b. Let s(y) = -4*y. Let g(c) = 7*p(c) + 5*s(c). Let d be 486/8 - 13/(-52). Let w(q) = 61 - q - d - 3*q. Calculate w(g(a)). -4*a Let t be ((54/20)/9)/(12/10). Let f(b) be the second derivative of -b + 0*b**3 + 0*b**2 + t*b**4 + 0. Let w(x) = -x**2. Calculate w(f(y)). -9*y**4 Let k(j) = -2*j**2 - 9 + 1 + 8. Let v(t) be the second derivative of 0*t**3 + 0 + 0*t**2 - 2*t + 1/6*t**4. Calculate v(k(c)). 8*c**4 Let g(l) = -68*l. Let h(j) = 18*j + 4. Let c(k) = -22*k - 5. Let q(y) = 4*c(y) + 5*h(y). Calculate q(g(t)). -136*t Let c(i) = -3*i. Let y(z) = -z + 1. Let t(s) be the second derivative of 0 - 5*s - 1/2*s**2 + 1/3*s**3. Let x(v) = -2*t(v) - 2*y(v). Give c(x(w)). 6*w Let k(o) be the second derivative of -14*o**4 - 48*o - 2. Let z(c) = -3*c**2. Give z(k(s)). -84672*s**4 Let p(q) = -q. Let r(v) = -402*v**2 + 9 - 400*v**2 + 801*v**2. Calculate p(r(y)). y**2 - 9 Let c(b) = 2*b + 129. Let u(g) = 874*g**2. Calculate c(u(l)). 1748*l**2 + 129 Let p(h) = 32*h**2 - h - 46*h**2 + h. Let x(m) be the first derivative of -2*m**2 - 8*m**2 - 5*m**2 + 16*m**2 + 9. What is p(x(w))? -56*w**2 Let v(f) be the third derivative of 7*f**4/24 + 3*f**2. Let d(q) = 5 - 8*q**2 + 7*q**2 - 5. Calculate d(v(r)). -49*r**2 Let m = 30 - 28. Let r(n) = -2*n**m + 8167*n - 8167*n. Let l(o) = 3*o. What is l(r(g))? -6*g**2 Let r(t) = 3*t. Suppose 4 = -u + 93. Let b(x) = -x + u + 11*x - 89. Give r(b(g)). 30*g Let q(n) = 3*n. Let x(m) = 1878455*m**2. Determine x(q(r)). 16906095*r**2 Let h(m) = 242*m**2. Let t(j) = -406*j. Give h(t(b)). 39890312*b**2 Let j(d) = 3*d**2. Let w(a) = 3*a**2 - 1387*a. Give w(j(x)). 27*x**4 - 4161*x**2 Let g(q) = 6*q**2. Let j(k) = -2530*k. Calculate j(g(o)). -15180*o**2 Let z(a) = 57*a. Let c(p) = 4*p**2 - 607. Calculate z(c(x)). 228*x**2 - 34599 Let y(s) = -s. Let n(l) = -12444*l. Determine n(y(u)). 12444*u Let y(q) = 1542*q**2. Let m(h) = -50*h + 3 - 3 + 101*h - 49*h. What is m(y(d))? 3084*d**2 Let m(o) = -27*o**2. Let a(c) = -c + 2. Let z(r) = r - 1. Let n(f) = f**2 - 3*f - 12. Let i be n(5). Let b(k) = i*z(k) - a(k). Determine b(m(y)). 27*y**2 Let d(u) = -2*u. Let j(r) = -138822*r. Give j(d(y)). 277644*y Let x(d) = -d. Let r(g) = -16*g + 46*g + 7 + 77*g - 2 + 3*g. Determine x(r(y)). -110*y - 5 Let s(n) = 15380*n**2. Let c(o) = 16*o. Calculate s(c(u)). 3937280*u**2 Suppose -6 = -3*u - 3*k + 6, 2*u = 5*k - 6. Let r(c) be the third derivative of 0*c**3 + 0*c + 0 - 3*c**u - 1/24*c**4. Let b(o) = 6*o**2. Give r(b(d)). -6*d**2 Let g(r) = -r**2. Let q(w) be the third derivative of 0*w**3 + 0*w**4 + 17/60*w**5 + 49*w**2 + 0 + 0*w. Determine q(g(h)). 17*h**4 Let a(h) = 19*h**2. Suppose 5*d = -0*d + q + 96, 80 = 3*d + 5*q. Let b(k) = -d*k + 11*k + 7*k. What is a(b(z))? 76*z**2 Let v(t) = t - 10. Let g(u) be the third derivative of -u**4/12 - 43*u**2 - u. Calculate v(g(p)). -2*p - 10 Let j(x) = -2*x. Let p(c) = 32*c**2 + 329 + c - 11*c**2 - 329. Calculate j(p(y)). -42*y**2 - 2*y Let i(r) = -6*r. Let s(o) = 13 - 11 + 11 + 60*o - 13. Determi
{ "pile_set_name": "DM Mathematics" }
+ -79762. Is r prime? False Let l be 6/10 - (-3520078)/145. Suppose -5*p + 11*t + 40468 = 14*t, l = 3*p - 2*t. Is p a prime number? True Suppose 15*n - 6 = 13*n. Suppose 4*b + 3*z - 4*z - 23 = 0, n*b = 3*z + 6. Is b prime? True Let c(k) = 158*k - 3. Let z be c(2). Suppose 3*g = 4*a + 174, z = 5*g - 0*g + a. Suppose g + 25 = b. Is b a prime number? False Let w(y) be the third derivative of y**6/120 + 8*y**5/15 - y**4/3 + 19*y**3/6 - 31*y**2 - y. Is w(-26) prime? True Let i = -11992 + 20731. Suppose 0 = -4*a + 5*q - 3074, a = 3*a - 4*q + 1540. Let f = i - a. Is f a composite number? True Let u be 2/(-2)*(3 - 3) - 31. Is (-32 - u)/(2/(-4886) + 0) a composite number? True Suppose -5*i + 107 = -73. Let a(z) = -390*z - 166*z - 217*z - i. Is a(-5) composite? True Let r(y) = 3*y**2 - 18*y + 51. Let g be r(4). Suppose -g*f = -20656 - 12122. Is f prime? False Suppose 99*q - 101*q + 146776 = k, -2*q = -k + 146772. Is k composite? True Let u(t) = 16267*t - 3768. Is u(17) prime? True Let l be (-176)/(-110) - 2/(-5). Suppose -3*j - 4*t = -965, -l*j - 2*t - 3*t = -648. Is j prime? False Let h(i) = -12*i**3 + 29*i**3 - 9*i**3 - 12*i**2 - 6*i**3 - 17*i - 10. Is h(15) prime? False Suppose -10867973 = -124*d - 1952497. Is d prime? True Is ((-183268)/16)/(5/(-20)) a prime number? True Is 3*8/120*2755535 a composite number? False Let z = 36 + -32. Let n(x) = 21*x + 10. Let u be n(z). Suppose -w + u + 67 = 0. Is w composite? True Let u = 99 + -88. Let t be (-10)/(-2) - 6 - u. Let y = 18 + t. Is y composite? True Let s = 5033108 + -1608103. Is s a prime number? False Let g be -2 + 0 + 2 - 3. Let j = g + 15. Is (595 - j)/(1 - 0) composite? True Suppose -1 = -2*a + 3*b, 4*b + 1 - 23 = -2*a. Suppose 30 = a*x + x. Let i = x + 576. Is i a composite number? True Suppose -3*b + v + 11 = 0, 4*b = -v + 4*v + 23. Let k(a) = 13*a - 155. Let c be k(12). Is ((-233)/(-2))/(c/b) prime? True Suppose t + 7*l = 8*l + 180109, 10*t = -l + 1801112. Is t a composite number? True Let c(o) = -o**3 + 7*o**2 - 10*o + 3. Let t be c(5). Suppose -u + t + 3 = 0. Is (301/(-2))/((-3)/u) a composite number? True Suppose 364 = 6*n + 8*n. Suppose n*s - 30*s + 32 = 0. Let c(w) = 19*w + 25. Is c(s) prime? False Let u(d) = 4*d + 1. Suppose -3*i - 14 = -5*i. Let l be u(i). Is 191/(-4 - l/(-7)) prime? False Let n = 137584 + 5173. Is n a composite number? False Let c(g) = -2*g + 21. Let z be -4 + (-4)/(-8)*14 - -5. Let i be c(z). Suppose 0 = -3*t + 5*t - 5*v - 183, -2*v - 447 = -i*t. Is t a prime number? True Is -7 - -186893 - (-2)/2 composite? True Let y be (-4)/(-6) + (-5)/((-45)/52176). Suppose -y = -3*j - 10*j. Is j a composite number? True Suppose 2*h - 56 - 19 = -5*f, 5*h - 45 = -3*f. Let c(q) = 4*q + f*q**2 - 1 - 2 + 3*q**3 - q**3 - q**3. Is c(-9) a prime number? False Let b(f) = f**3 + 27*f**2 - 49*f - 49. Suppose -191 = 4*p - 87. Is b(p) a prime number? True Suppose 0 = 62*v - 1461007 - 3195751. Is v a prime number? True Suppose -160*y - 479603328 = -544*y. Is y prime? False Let y be (-130)/15*-9*8/12. Let j(w) = 130*w + 309. Is j(y) a prime number? True Suppose 0 = -0*d + 2*d - 64. Let g be d/1*(4 + -3). Let q = 153 - g. Is q a composite number? True Suppose 1259520 = 6*t + 2*u, -t - u = -124544 - 85374. Is t prime? False Let f = 174878 + -26215. Is f a prime number? True Let v = 4779 + -2606. Suppose -4*p - v = -61345. Is p a prime number? False Let m(y) = 1 - 3153*y**2 + 15*y + 134*y**3 - 331*y**3 + 3151*y**2. Is m(-4) a prime number? True Let f(q) = -2*q**3 - 74*q**2 + 75*q + 59. Is f(-52) composite? False Let u be (11/22 - (-5)/(-2)) + 2. Suppose j - 2*g - 4 = u, 0 = -j + 3*j - g - 5. Suppose 0 = y + 2*q - 1191, -j*q - 677 - 518 = -y. Is y a composite number? False Let y(i) = 183*i - 265. Suppose 15*q + 31 = 211. Is y(q) prime? True Suppose -2*g + 265468 = 5*z, 2*g - 85214 = 5*z + 180314. Is g a composite number? False Suppose 0 = -4*r + 29*r. Suppose r = 5*b - 17*b + 8028. Is b prime? False Let f be 15 - 14 - (1 + -1024). Is 0 - 3 - (27/9 - f) composite? True Let c(j) = -2*j**2 - 4*j. Let r be c(5). Let q = -73 - r. Is 3490/6 - (-2)/q a prime number? False Suppose -162*m - 81 = -159*m. Is 3 + (-220896)/m + 2/3 a composite number? True Let o be (1 + -2)*0/(-2). Let h(g) = 3*g + 2715. Let f be h(o). Let a = -1574 + f. Is a composite? True Let k(i) = 3*i**3 - 3*i**2 - 5*i + 2. Let t be k(4). Suppose 6*o - 6 + t = 0. Is 0*(-5)/o - -1057 a composite number? True Is 2 + (-336)/156 + (-150570)/(-26) prime? True Suppose -7*g = 1 - 15. Suppose 0*w - 5*w - 2*r + 25972 = 0, 2*r - g = 0. Let u = w - 3209. Is u composite? True Let y(j) = 3*j**3 - 8*j**2 - 8*j - 1102. Let w(x) = x**3 - 3*x**2 - 3*x - 367. Let d(f) = 11*w(f) - 4*y(f). Is d(0) prime? False Let g(f) = 3*f**3 - 54*f**2 - 31*f + 29. Is g(30) prime? False Suppose -3*r + 3 = 0, 3*y = -28*r + 27*r + 424699. Is y a prime number? False Let m(h) = -191*h**2 + 29*h - 43. Let r(n) = 191*n**2 - 25*n + 43. Let o(j) = 5*m(j) + 6*r(j). Is o(4) a prime number? True Suppose d = 3*f + 111044, 97*f = -3*d + 100*f + 333102. Is d composite? False Let l(p) = p**2 + 9*p + 77533. Let q be l(0). Suppose 6*n - q = -17*n. Is n a composite number? False Let g = 323040 - -397475. Is g prime? False Suppose 607336 = -84*f + 92*f. Is f prime? False Let b(v) = 2*v - 18. Let l be b(6). Let t be (-15)/l*2*(0 + -2). Let m(z) = 8*z**2 - z + 29. Is m(t) a prime number? True Suppose l - a = 26229, 32528 = 4*l - a - 72400. Is l a composite number? True Let j = 4124 - 2075. Let a = -832 + j. Suppose -3*m = -2*p + a, -7*p + 6*p + 4*m + 601 = 0. Is p a prime number? True Suppose -242221 = -2*x + 5*o, -328906 = -5*x - 5*o + 276734. Is x prime? True Let f be 16 - (-14 + 384/16). Let c = 1343 + 4405. Suppose 18*a - f*a = c. Is a a prime number? True Suppose 4*r = 3*l - 5*l + 135198, -4*r = 3*l - 202791. Suppose 27*g + l = 30*g. Is g prime? True Let t be ((-8)/10)/(34668/8670 + -4). Is t + ((-36)/(-4))/3 prime? False Let k be 3/(3/(-10))*1/(-2). Suppose -k*f = -10772 + 282. Is (13/13)/(2/f) a composite number? False Let j(m) = 49759*m - 138. Is j(5) prime? True Suppose -496*j = -506*j + 820. Suppose -2*o + 3*p + 1841 = 0, -o + 2*p + p + 928 = 0. Let l = j + o. Is l a prime number? False Let o(x) = -648*x - 7859. Is o(-32) a composite number? True Suppose -2*a - 35*k = -38*k - 3287, 4*a - 4*k = 6572. Is a prime? False Let t be (19 + -33)*(-6)/21. Suppose -8566 = -t*n + 36142. Is n prime? True Suppose -2*d - 3*d = 0. Suppose 4*w + d*h - 5*h - 74784 = 0, 0 = -5*w - 4*h + 93521. Is w prime? True Let f(n) = 2 + 3*n - 15*n**2 + 11*n - n**3 - 18 - 17. Let y be f(-16). Is y/(1/4) + (-2 - -1115) prime? True Let z = -101125 + 200192. Is z a prime number? False Let w(m) be the third derivative of 116*m**5/15 - m**4/2 + 17*m**3/6 + 5*m**2 - 5*m. Is w(4) composite? False Let w(n) = n**2 + 2*n - 28. Let v be w(-22). Let j = v - 188. Suppose -o + 259 = -4*q, -j = -o - 0*q - 3*q. Is o a composite number? False Let d be 96*5/(-15)*3. Let o = d + 95. Is o/((0 - 2)/1670) a prime number? False Let p(q) = -376*q**2 - 5*q + 7. Let i(a) = a**2 + 6*a - 1. Let z(b) = -2*i(b) - p(b). Is z(-4) composite? False Suppose 6*w - 207 = -3*w. Is ((-1187)/(-2))/(w/46) prime? True Is -9*(-2)/(-3) - -455207 a composite number? False Is 89288933/122*2/6 - 4/(-24) prime? False Suppose 529585 = 13*q + 38848. Suppose -32*a + 217003 + q = 0. Is a composite? True Let i = -15884 - -240742. Is i prime? False Suppose -5*q = -2870 - 18810. Let c = -993 + q. Is c composite? False Let b = -466 + 468. Suppose 2*t - 3512 = 3*c, -b*c = 2*t + t - 5281. Is t composite? False Is (15 - 660/45)/(1/2484507*1) a prime number? True Is -2 + 6 - (-18626 - -7) a composite number? True Is (4 - (-76)/(-20))/((-1)/(-322165)) a composite number? False Let k = 349 - -63. Let w be 1/(24/k) + (-1)/6. Suppose 0 = t + w - 108. Is t a prime number? False Let y be 1 - 1 - (-6)/2. Let n be (114/(-15))/(y/(-15)). Let w = -15 + n. Is w prime? True Suppose -4*c = 4*d - 497468, 53*d = 3*c + 50*d - 373137. Is c prime? False Let i be (-1 + 543)/((-8)/20). Let g = i - -1965. Suppose 4*p = 2*p + g. Is p a prime number? False Let f(u) = -496*u**3 + 2*u**2 + 82*u - 51. Is f(-9) prime? False Let m(s) = 80*s**2 - 12*s - 29. Let j be m(-13). Suppose 5*i - 17279 = b, 0
{ "pile_set_name": "DM Mathematics" }
1/3)) assuming w is positive. w**(557/84) Simplify (((k**0*k)/k**(-1))/(k/k**(-5))**(1/10))**(4/27) assuming k is positive. k**(28/135) Simplify (k**(3/4)*k/k**(1/3))**(-26)/((k**(2/9)/k**(1/2))/(k/k**(-1/4))**(-17/2)) assuming k is positive. k**(-3397/72) Simplify (((o**(-5)*o)/o)/o*o*o)**3*(o/o**(-18))/o**(-25) assuming o is positive. o**32 Simplify (((w**1*w)**(1/8)/(w/((w/(w**(-2/7)/w))/w))**(2/13))**22)**28 assuming w is positive. w**(2354/13) Simplify ((g**11)**(-3/7)/(g**(3/31)/(g**(-31)/g)))**(-13) assuming g is positive. g**(103844/217) Simplify (((c**(-1)/(c/(((c/c**(-19))/c)/c)))**(-1/11))**(1/33))**(-41) assuming c is positive. c**(656/363) Simplify (((g*g**1*g*g*g*g)/g)**(5/8)*g**(-2/9)/(g*g**(1/3)*g))/((g*(g*g*g**(-1))/g*g)**(-25))**(-31) assuming g is positive. g**(-111559/72) Simplify (n*n**(-7)*n*n*(((n**(-2/13)/n)/n)/n)/n*((n/(n*n*n/(n**7*n)))/n)**(-45))**(-34) assuming n is positive. n**(103054/13) Simplify (((h*h**(-3/5))/(h/(h**(-2/3)*h*h*h)))/(h*h*h**(1/3)*h)**(-45))/((h*(h*(h/h**(-1/4))/h*h)/h)**(2/59))**(-1/26) assuming h is positive. h**(6982903/46020) Simplify ((((n**2/n)/(n/(n**(-9)/n)*n))**(2/5))**(2/37))**(-1/7) assuming n is positive. n**(44/1295) Simplify ((((h*h/(h/(h*h/(h/(h*h**(1/11)*h*h*h))*h))*h)/h)/(h**(2/17)*h))**(-1/9))**(-1/7) assuming h is positive. h**(1117/11781) Simplify ((o**4)**22)**(17/4)*((((o/(o/(o*o*o/(o/((o/o**(-14))/o*o)))))/o)/o)/(((o**(2/15)/o)/o)/o*o))**(-19) assuming o is positive. o**(803/15) Simplify (y/y**(-27))/((y**21*y)/y*y)*y/y**(-30)*y*y/y**(-1/12) assuming y is positive. y**(469/12) Simplify ((m/((m/(m/(m*m**(-17/6))))/m)*(m**(2/9)*m)/m*m)/(m**8*m)**(1/3))**42 assuming m is positive. m**(259/3) Simplify ((m**2)**(-2/7))**(3/23)/(((m*m**(-1)*m)/((m*m**(6/11))/m))/(m*(m*m*(m/(m**(-2/7)/m))/m)/m)**(-18)) assuming m is positive. m**(-15097/253) Simplify ((k**5/k)/k**6)**(13/5)/(((k/((k/k**(2/7)*k)/k*k*k))/(k**(1/2)*k))/(((k**(-5/2)/k)/k*k)/(k*k/(k/(k**2*k*k))))) assuming k is positive. k**(-367/35) Simplify (j**(-1)/j)/j*j**(2/7)/j*j**1/j**(-1/8)*(j**1)**26*j**(-5)*(j*j**(-7))/j assuming j is positive. j**(639/56) Simplify (u**(1/2)*u**(9/5)*(u**(-7)/u)**(-9/13))**37 assuming u is positive. u**(37703/130) Simplify (o*o*((o**(1/2)*o)/o*o)/o*o)**(-5/8)*(o*(o**8*o)/o*o)/o**(-5/6)*((o**0/o)**(1/51))**(-15) assuming o is positive. o**(7295/816) Simplify (y**(-1/10)*y*y/y**(2/5))**(2/31)/(y**(-6)/(y*y**2*y*y*y)*(y*y**(-2/3))**(-1/29)) assuming y is positive. y**(32656/2697) Simplify (f**13/(f/(f**4*f))*(f/f**8)/f**(-3/5))**(12/7) assuming f is positive. f**(636/35) Simplify ((v**6*v)/(v*v*v**(1/3)/v*v*v)*(v/(v/((v*v/(v/(((v/(v**2/v))/v)/v*v)))/v)*v))**(-23))/((v*v**(1/4))**(-6)*(v**(2/5))**6) assuming v is positive. v**(1643/30) Simplify ((c*c*c*c**(-2/5))**(-20/9))**2/((c*c*c*c*c*c**(5/4)*c*c*c)/c**(-1/3))**(-2/5) assuming c is positive. c**(-139/18) Simplify (((p**(-6/7)*p**(-6/7)/p)**0)**(4/17))**(-9/7) assuming p is positive. 1 Simplify (((j*j*j*(j**0*j)/j)/(j*j/j**(2/7)))/((j/(((j*j*((j/(j**4/j)*j*j)/j*j)/j*j)/j)/j))/j**5))/((j**1)**(-2/19))**(-5/13) assuming j is positive. j**(9069/1729) Simplify (((a/a**(1/4))/a*a**(-4)*(a**4)**(4/11))**8)**(-42) assuming a is positive. a**(10332/11) Simplify (f*(f*f*f**(1/20)*f)/f*f)**50*(f*f**(-10))**(-10) assuming f is positive. f**(585/2) Simplify (v**(-1/7)*v**8)**11*((v*v**1*v)**(1/4))**28 assuming v is positive. v**(752/7) Simplify (m/(m*m/(m/(m**(-39/4)/m))))/m**(5/6)*((m**(-4/27)/m)/m*m)/(((m*m**45)/m)/m) assuming m is positive. m**(-3805/108) Simplify ((c**(2/69))**(-11/3)*(c/c**(3/10))**36)**(-2/117) assuming c is positive. c**(-51944/121095) Simplify (y*y**8*y/y**(-5)*y**9*y/y**(-2/5))/((y*y**7*y*y*y)/(y*y**5))**(-2/77) assuming y is positive. y**(9829/385) Simplify (f/f**(15/2))**(-3/11)/((f*f/f**(-41))/f**(-29)) assuming f is positive. f**(-1545/22) Simplify ((i**(-2))**(-23)/(i*i**(-2))**(-11))/(i**8/((i/i**(-1))/i*i)*((i*i/i**(1/4))/i)**(-10/3)) assuming i is positive. i**(63/2) Simplify ((i/(i*((i**(2/69)/i)/i)/i)*i/i**(-3/7))/(i**(9/4)*i*i**(12/11)))**(3/20) assuming i is positive. i**(1247/141680) Simplify ((a**(2/7))**40)**(2/23)/((a*a**(-1/4)*a*a)**(1/37)/(a**0/(a*a**(2/7)))) assuming a is positive. a**(-8727/23828) Simplify (((l*l/(l*(l*l**15/l)/l*l))/l*l)**19/((l*l**2*l)/(l**(-1/3)*l)))**(-16/5) assuming l is positive. l**(12928/15) Simplify (((x**1/x)/x)**(-7/4)/(x**(2/13)/x**(-4)))/((x**(-5)*x*x**(-1/4)*x)/(x*x/(x*x/(x*x*(x*(x/(x*x**(-1/3)*x))/x)/x*x))*x)**(-20)) assuming x is positive. x**(-1787/39) Simplify (q**(1/4)*q)**26*q*q**(-1/4)*q*q**(-4)*((q/((q/(q*q**(-2)*q))/q*q))/q)**(1/25)*(q**(-2))**36 assuming q is positive. q**(-4179/100) Simplify (a*a**(-2/11)/a*a/(a**(-1/2)*a))**(-1/29)/(a**(-5/2)*a*((a**(-1/2)*a*a)/a)/a)**(6/31) assuming a is positive. a**(7439/19778) Simplify h**(-2)/h**(2/13)*(h/(h*h**(-2/7)))**(-5)*(h*h/(h**(-1/4)/h)*h*h**(-2/7))/(h**(-1)/(h**(3/2)*h)) assuming h is positive. h**(1413/364) Simplify (((b**6/(b/(b/(b/(b**9*b*b)))))**37)**(-9/7))**(-42) assuming b is positive. b**31968 Simplify (q**2*q/q**(-3)*q)/(q**(-1/3)/q)**(-16/3)*(q**(2/13)/q**(-1/4))/((q*q/(q/((q*q*q/(q/q**(-2)))/q*q)*q))/((q*q/q**4)/q)) assuming q is positive. q**(-1267/468) Simplify ((p*p/(p/(p**13*p)))/p)/(p*(p*p*p**(-41))/p)*(p*p**26)/(p**(-44)/p) assuming p is positive. p**125 Simplify (k*k/(k/k**(-3/13)*k)*k)**9*(k/k**(-1/4))/k*(k/(k*k**(2/55)*k))/k assuming k is positive. k**(14691/2860) Simplify ((n/(n/((n/(n/(n*(n*n/n**1)/n)))/n)*n))**20)**(2/61)*((n/(n*n/n**(-3)*n))/((n*n**(-1/3)*n)/n))/(n**(2/7)/n)**(-1/34) assuming n is positive. n**(-276281/43554) Simplify ((x/(x*x**(1/4)*x))**(-9/4))**13*(x**(-2)*x)/x**(-2)*(x*x*x*x/x**(-1)*x)**(8/13) assuming x is positive. x**(8581/208) Simplify ((f*f*f**(-1))**(-5/2)/((f**(-1/9)*f)/(f*f**(-2))))/((f/(f**(-2/5)*f)*f**(-3/2)/f)/(f/f**(2/5)*f)**(-2/57)) assuming f is positive. f**(-401/171) Simplify ((w**(-42)*(w/(w*w/w**19))/w)/(w**(-34))**(5/3))**(1/26) assuming w is positive. w**(95/78) Simplify (i/((i*i*i/(i**6*i*i))/i)*i**(-1/2)*i)**(5/8)*((i*i**(-1/5))/((i/(i*i**(1/5)*i))/i))/((i/(i*i**(-1/2))*i)/i)**31 assuming i is positive. i**(-125/16) Simplify ((k**(-25)*k*k)/k)**5/(k**(-1/44))**(-19/2) assuming k is positive. k**(-10579/88) Simplify (w/(w**34/w))/w**(-3/22)*w**(4/3)*w/w**(-15/2)*w assuming w is positive. w**(-694/33) Simplify ((k**(1/8)/k)**(4/29)/((k*k**(-2/3)*k*k)/(k*k/(k**(-1/25)/k)*k)))**10 assuming k is positive. k**(6899/435) Simplify ((j**1*j)/(j*j**(1/6))*((j/(j*j**(-3/2)))/j*j)/(j/j**(-1/2)))/(j**(1/7)*(((j*j**(2/21))/j*j)/j)/j*(j**0/j)/j**(2/13)) assuming j is positive. j**(1501/546) Simplify (((((o/((o*o*o**7)/o)*o)/o)/o)/(o/o**(2/9))*(o*o*o*o/o**(-8)*o)/(o*o**8))**(3/40))**(-14) assuming o is positive. o**(301/60) Simplify ((v*v**1)**(-1/19)/(v**(1/4))**10)/((v**(-2/5))**(6/11)*v**(-2)/v**4) assuming v is positive. v**(7551/2090) Simplify ((((q**16/q)/q)/q**30)/(q**(-6)/(q/q**(1/13))))**(-7/6) assuming q is positive. q**(413/39) Simplify ((g/((g**(2/3)*g)/g*g))/(g*(g*g/((g*g**5*g)/g))/g))**(-25)/((g**(-1))**(5/4)*g**(1/3)*((g/(g*g*g**(-4)*g)*g)/g)/g*g) assuming g is positive. g**(-1013/12) Simplify ((s**(-1/2))**(2/47))**(-6)*(s/s**(-3))/(s/(s/s**3))*(s**6*s)/(s*s**(-2/11)/s) assuming s is positive. s**(4296/517) Simplify ((n*(n*n*(n*n*n/n**(-1)*n)/n)/n)**1/((n**(-3)/n)/n**(1/2)))/(n*n**(4/5)/n*n*n*n*n**(-3/4))**(4/41) assuming n is positive. n**(4183/410) Simplify ((y/(y**7/y))/((y*y**(1/6)*y)/y))**(5/2)*((y/(y*y**(-1/3)))/((y**(-2/5)*y)/y))/((y/(y*y**5/y)*y)/(y/y**(-3))) assuming y is positive. y**(-461/60) Simplify ((t*t**(2/51)*t)/t**(-14)*(t**(1/2)*t)/t**20)**(-2/21) assuming t is positive. t**(251/1071) Simplify (((w*w**(-14))/(w**1/w))/((w*w**(-6))/w*w*w**(13/5)))**(-45) assuming w is positive. w**477 Simplify ((r**(-4/3)/(r*r*r**(3/26)*r))/(r**(-1))**4)**(-3/7) assuming r is positive. r**(5/26) Simplify (a**(2/59)*a)/(a*a**(1/30)/a)*a/(a*a**(-1/7))*a**(11/6) assuming a is positive. a**(6147/2065) Simplify ((f*f/f**(-1)*f*f)**(-44))**(-2/87)*(f*f**(-4)*f*f**8*f)/(f**1)**43 assuming f is positive. f**(-2692/87) Simplify w**(-3)/w**(4/7)*(w*w**(-4/9)/w)/w**(1/4)*((w**(-1))**(-9))**(-1/6) assuming w is positive. w**(-1453/252) Simplify (l*l**(-1)*l)**(
{ "pile_set_name": "DM Mathematics" }
s -35910 rounded to the nearest 1000? -36000 Round 2.9358 to the nearest integer. 3 What is 0.04611 rounded to three decimal places? 0.046 What is 14210000 rounded to the nearest 100000? 14200000 What is 0.045436 rounded to 4 decimal places? 0.0454 Round 0.0053889 to five decimal places. 0.00539 What is 0.00001322 rounded to 7 dps? 0.0000132 What is -1317.91 rounded to the nearest 10? -1320 What is 4139 rounded to the nearest one thousand? 4000 What is -0.00035322 rounded to six decimal places? -0.000353 Round -88100 to the nearest 10000. -90000 What is -161316 rounded to the nearest 10000? -160000 What is 17.21 rounded to the nearest integer? 17 Round -0.0000006011 to 7 dps. -0.0000006 What is 1757.3 rounded to the nearest 100? 1800 Round 1157000 to the nearest ten thousand. 1160000 Round -24.5474 to 1 dp. -24.5 What is -0.000005897 rounded to 7 dps? -0.0000059 What is -56950000 rounded to the nearest 1000000? -57000000 Round -0.0180502 to 3 dps. -0.018 What is -120.4 rounded to the nearest integer? -120 What is -6924 rounded to the nearest 1000? -7000 Round 119.7 to the nearest one hundred. 100 Round -1151 to the nearest 10. -1150 What is -12870 rounded to the nearest 1000? -13000 What is 24490000 rounded to the nearest one million? 24000000 Round 25606.2 to the nearest 1000. 26000 Round -0.000007331 to six dps. -0.000007 What is -0.30035 rounded to two dps? -0.3 Round -0.000182437 to five decimal places. -0.00018 What is 0.12298 rounded to 3 dps? 0.123 What is 0.0000003362 rounded to 7 decimal places? 0.0000003 What is -0.107055 rounded to two dps? -0.11 What is 0.0184 rounded to 2 decimal places? 0.02 Round 0.0008133 to four decimal places. 0.0008 Round -0.00002294 to six dps. -0.000023 What is -642.3 rounded to the nearest ten? -640 What is 443500 rounded to the nearest ten thousand? 440000 Round 0.08488 to two dps. 0.08 What is -660 rounded to the nearest one hundred? -700 Round 0.01268 to three decimal places. 0.013 Round 0.61167 to 2 decimal places. 0.61 What is -1762.1 rounded to the nearest 10? -1760 What is -3790000 rounded to the nearest 1000000? -4000000 What is -0.906 rounded to one decimal place? -0.9 What is -0.11617 rounded to 3 dps? -0.116 What is -9134.5 rounded to the nearest 100? -9100 Round -264.8 to the nearest integer. -265 What is -0.01772 rounded to three decimal places? -0.018 Round 1308000 to the nearest 100000. 1300000 Round 2304.3 to the nearest one hundred. 2300 Round -36149000 to the nearest 100000. -36100000 Round 0.15852 to two dps. 0.16 Round 4285000 to the nearest 100000. 4300000 Round 0.00000093568 to 7 decimal places. 0.0000009 Round -0.000030539 to 6 dps. -0.000031 Round -0.00011672 to five dps. -0.00012 What is -0.0363 rounded to 2 dps? -0.04 Round 0.15822 to 3 decimal places. 0.158 What is -0.0000061144 rounded to seven dps? -0.0000061 Round -0.000020876 to 7 decimal places. -0.0000209 Round -0.0058563 to four decimal places. -0.0059 What is -13.5035 rounded to the nearest integer? -14 Round -0.00003968 to five decimal places. -0.00004 Round -3626.2 to the nearest one hundred. -3600 What is -0.00066 rounded to four dps? -0.0007 What is -63220 rounded to the nearest 1000? -63000 Round 0.003049 to five decimal places. 0.00305 Round -1186900 to the nearest 100000. -1200000 What is -0.09721 rounded to 2 dps? -0.1 What is -0.0000085 rounded to 6 dps? -0.000009 What is -0.0000193 rounded to six dps? -0.000019 What is -5720000 rounded to the nearest 1000000? -6000000 What is -3303.34 rounded to the nearest 100? -3300 Round -0.059989 to 2 dps. -0.06 What is -0.000001483 rounded to seven decimal places? -0.0000015 Round 0.00000732 to five decimal places. 0.00001 Round 227611 to the nearest one thousand. 228000 What is -0.0578 rounded to 2 dps? -0.06 What is 534.1 rounded to the nearest 100? 500 Round 4.408 to one decimal place. 4.4 What is 0.000003862 rounded to 6 decimal places? 0.000004 Round -0.03864 to 3 decimal places. -0.039 Round -60.5 to the nearest ten. -60 What is -0.0070356 rounded to three decimal places? -0.007 What is -0.0808 rounded to 2 decimal places? -0.08 Round -170900 to the nearest 10000. -170000 What is -0.002953 rounded to four dps? -0.003 What is 9850000 rounded to the nearest one hundred thousand? 9900000 Round -3.9656 to 2 decimal places. -3.97 Round -0.000004234 to seven dps. -0.0000042 What is 8.84 rounded to the nearest 10? 10 What is -0.0001457 rounded to five dps? -0.00015 Round 0.11343 to three decimal places. 0.113 What is 1587000 rounded to the nearest 10000? 1590000 What is 172.6 rounded to zero dps? 173 Round -17442 to the nearest one thousand. -17000 Round -443000 to the nearest ten thousand. -440000 Round -0.0000286297 to six dps. -0.000029 Round -0.0010359 to four dps. -0.001 What is -0.016014 rounded to four decimal places? -0.016 What is 0.327 rounded to 1 decimal place? 0.3 What is 0.00001805 rounded to 6 dps? 0.000018 What is -0.0054358 rounded to four decimal places? -0.0054 What is -0.00009298 rounded to six dps? -0.000093 Round -0.000019256 to 7 decimal places. -0.0000193 Round 0.00013517 to 6 dps. 0.000135 What is -0.0346 rounded to two dps? -0.03 Round -135590 to the nearest 10000. -140000 Round -0.000016088 to six dps. -0.000016 Round -66.88 to the nearest integer. -67 What is 5.674 rounded to one dp? 5.7 What is -0.0029516 rounded to 3 decimal places? -0.003 Round 32595 to the nearest 10000. 30000 What is 0.00005735 rounded to 5 decimal places? 0.00006 What is 214430 rounded to the nearest 1000? 214000 Round -0.00002749 to 6 decimal places. -0.000027 Round 60650 to the nearest 1000. 61000 What is -22840 rounded to the nearest 1000? -23000 Round -0.052569 to 2 decimal places. -0.05 Round -124.64 to zero dps. -125 What is 0.00229 rounded to 4 dps? 0.0023 What is 0.113579 rounded to three decimal places? 0.114 What is -0.0016004 rounded to 5 dps? -0.0016 What is -0.000052 rounded to six decimal places? -0.000052 What is 0.000011183 rounded to seven dps? 0.0000112 Round -0.0085593 to five dps. -0.00856 What is 0.87645 rounded to 3 decimal places? 0.876 What is 0.00000596 rounded to seven dps? 0.000006 Round 698080 to the nearest one hundred thousand. 700000 Round -0.00000856 to six decimal places. -0.000009 Round -310600 to the nearest one million. 0 Round -0.00498 to three dps. -0.005 Round 1034900 to the nearest 100000. 1000000 What is 0.000048112 rounded to 5 decimal places? 0.00005 What is -0.07225 rounded to one dp? -0.1 Round -871610000 to the nearest one million. -872000000 Round 24242 to the nearest 100. 24200 Round 968040 to the nearest one thousand. 968000 What is -0.01047 rounded to three dps? -0.01 Round 69.55 to the nearest 10. 70 What is 385000 rounded to the nearest 10000? 390000 Round -588.91 to the nearest 10. -590 What is -0.011052 rounded to four decimal places? -0.0111 What is -0.0071217 rounded to 5 dps? -0.00712 What is 0.0003417 rounded to 6 decimal places? 0.000342 Round -0.00003393 to 6 dps. -0.000034 What is 0.06119 rounded to 2 decimal places? 0.06 Round 0.019702 to four decimal places. 0.0197 What is 0.00000996 rounded to five decimal places? 0.00001 What is -551.68 rounded to the nearest 100? -600 What is 0.07339 rounded to 2 dps? 0.07 Round -4130 to the nearest one thousand. -4000 What is -39010000 rounded to the nearest one million? -39000000 Round 19877.7 to the nearest one hundred. 19900 What is 25.281 rounded to one dp? 25.3 What is -14870000 rounded to the nearest 1000000? -15000000 What is -3.205 rounded to the nearest integer? -3 Round 10310 to the nearest 100. 10300 Round 4600 to the nearest ten thousand. 0 Round 6.3112 to 0 dps. 6 What is 0.000003511 rounded to six dps? 0.000004 Round 961000 to the nearest one hundred thousand. 1000000 Round 0.02821 to 3 decimal places. 0.028 What is 69800000 rounded to the nearest 1000000? 70000000 What is 0.00000129722 rounded to 7 decimal places? 0.0000013 Round 7320000 to the nearest one million. 7000000 What is 59367 rounded to the nearest 1000? 59000 Round 514.24 to the nearest ten. 510 What is 1254500 rounded to the nearest 100000? 1300000 What is 276200 rounded to the nearest one hundred thousand? 300000 What is -2461000 rounded to the nearest 100000? -2500000 What is 0.00000017318
{ "pile_set_name": "DM Mathematics" }
9775. Is l a prime number? False Suppose 17*x = -8*x + 205803 - 69028. Is x prime? True Let w(q) = 80*q**2 + 2*q - 3. Let d = -3 - 0. Let j be w(d). Suppose 0 = l + 4*h - j, -h + 1346 = -5*l + 4943. Is l a composite number? False Suppose -57*b - 23*b + 3102160 = -0*b. Is b a composite number? True Let q be 4/(-14) - 395/(-35). Let o = -6 + q. Suppose w = 5*w - n - 4345, 0 = o*w + 2*n - 5441. Is w composite? False Suppose 0*y + 12 = y. Let r be (381/(-6))/((-2)/y). Suppose -2*s + r + 1561 = 0. Is s prime? True Let y(v) = 4644*v**2 + 2*v - 18. Let r be y(3). Let t = r + -22795. Is t a composite number? True Let j(z) = 164*z - 28. Let b be j(-2). Let o = b - -1683. Is o a prime number? True Suppose 151 = 11*o - 25. Suppose -2*f - 34762 = -o*f. Is f prime? False Suppose 136*u - 32*u - 8757944 = 0. Is u a composite number? False Suppose 3*z - 7 = -4. Let u be -2 + 1/(z/6). Suppose -582 = -u*y + 1874. Is y a composite number? True Let i(b) = -b**2 + 19. Let p be i(7). Let m = p + 27. Is (-218 + 2)/(-4) + m prime? False Is (-6 - 511071/(-27)) + (-16)/(-36) prime? False Suppose -3*y + w + 30898 = 0, -6*w - 41224 = -4*y - 10*w. Is y composite? False Let r = 314601 - 132022. Is r a prime number? True Let g(c) = 29*c**2 - 13*c. Let y be g(4). Suppose y = 4*j - 5*j. Is (-2 + (2 - 1))*j/4 a prime number? True Let z(l) = l**2 + 12*l - 20. Let o(n) = -6*n + 2. Let q be o(0). Let v be z(q). Is (-15)/60 - (-1626)/v composite? True Let k(f) = 1205*f + 1347. Is k(10) prime? True Suppose 22*m - 8706030 = 7*m - 15*m. Is m composite? False Let s = -111 + 113. Suppose -s*t + 7*t + 2*r - 131 = 0, -2*t + 2*r + 44 = 0. Let p(d) = 5*d + 77. Is p(t) composite? True Let k(f) = -f**3 - 3*f**2 - f + 32. Suppose 490*x + 13 = 489*x. Is k(x) a prime number? False Suppose 0 = -22*n + 507545 + 125813. Is n prime? True Let r = 25294 - 2585. Is r a prime number? True Let w(p) = 167*p**3 - p**2 + 31*p - 154. Is w(5) composite? True Let y be ((-256)/4)/(-4) + 3 + -2. Suppose -5*o = 4*p + y, -3*p + 29 = -7*p - o. Is 986/((-22)/(-8) + 6/p) a composite number? True Let n = 20008 + 7094. Let y = n - 17869. Is y a prime number? False Suppose 163*s = 32515144 + 150295387. Is s prime? False Let h = -11125 - -20185. Suppose -20*i = -25*i + h. Let l = 2651 - i. Is l a composite number? False Suppose -s + 30827 = 4*v, 2*v - v = -3*s + 7715. Let j = 13903 - v. Is j prime? True Suppose -4*k = 3*i - 4*i + 517, 3*i + 3*k - 1536 = 0. Suppose 5*g - 15978 + i = 0. Is g composite? True Let g(y) = 119*y**2 + 2*y - 5. Let x be g(2). Suppose -2*z = 86 - 82. Is z/(-1) + x + 2 prime? True Is 20 - (-273616 + -11 + 6) a prime number? True Suppose 5*u - w = 2270352, -7*u + 11*u = -4*w + 1816296. Is u a prime number? False Let z = -68834 - -125029. Is z composite? True Let k be (-27)/(-4) - (-81)/(-108). Suppose 0 = k*b - 22682 + 1040. Is b composite? False Suppose 2*a + 5846 = -5*r, -5*a + 17 = 32. Let t(k) = k**3 + 3*k**2 - 4*k + 3. Let i be t(-10). Let f = i - r. Is f composite? True Is (-37023882)/(-69)*(-2)/(-4) composite? True Let x = 1757 - 935. Suppose 8*h = 137 + 1151. Let b = x + h. Is b a composite number? False Let r(x) = 1218*x**2 + 39*x - 2. Is r(5) prime? True Let y = -6223 + 3126. Let r = -1044 - y. Is r a composite number? False Let c = 44975 - -42878. Is c composite? False Let m(v) be the first derivative of 25*v**3 - 24*v**2 + 28*v - 83. Is m(15) a prime number? True Let r(v) = -5*v**3 + 39*v**2 + 51*v + 29. Is r(-30) prime? True Let o(h) = 10*h**3 - 26*h**2 - 20*h + 43. Is o(21) composite? True Let g(o) = 209*o**2 + 334*o + 31. Is g(-24) composite? True Is -9*(-1)/30 + (-647467)/(-10) composite? False Suppose 36*v - 212 = 32*v. Suppose 61 - v = -4*l. Is ((-9)/(-27))/(l/(-354)) a composite number? False Let t = 730 - -11005. Suppose 4570 + t = 3*x. Is x composite? True Let o(c) = 48*c**2 - 9*c + 184911. Is o(0) a prime number? False Let m(o) = 15*o**3 - 2*o**2 - o + 5. Suppose 5*t = -4*a + 45, 3*a + 3*t + 7 = 37. Suppose a*x = 35 - 15. Is m(x) a composite number? False Let u(y) = -4268*y + 3987. Is u(-80) a composite number? True Let n be (-6 - (-112)/35)/(1/(-835)). Suppose -4*x + n = 110. Is x a composite number? False Suppose -5*g + 9*g = 472. Let z = g + 153. Suppose 4*p = -4*j + 256, -3*p - p + j + z = 0. Is p composite? False Let z(c) = -59*c**3 + 64*c**2 - 18*c - 79. Is z(-20) a composite number? True Is (-16)/312 - 57999937/(-663) prime? True Is ((-6)/8)/((-69)/42528196) composite? False Let n = 829452 - 427311. Is n a composite number? True Let f(n) = 6*n**3 - 24*n + 19. Let q(l) = 11*l**3 - 49*l + 39. Let v(g) = -5*f(g) + 3*q(g). Is v(12) a composite number? True Is (-73877)/(4531/(-161) + 28) composite? True Let s = -34 + 467. Suppose -3*t = -i + 151, 12*i - 4*t = 9*i + s. Is i a prime number? True Let d(q) = 50833*q - 20. Is d(7) a composite number? False Let k = 39 + -26. Let s be (-1 - 1/(-3))*(k + -16). Is ((-5002 - 4)/s)/(-1) prime? True Suppose -5*z + 23009 = -h, z + h = -0*z + 4597. Suppose 3*b - 13847 = 5*v, 2*b - b = -2*v + z. Is b composite? True Let y = -186267 + 468004. Is y a prime number? True Suppose -5*d + 607570 = 4*f, 443047 = 3*d + 3*f + 78505. Is d prime? False Suppose 156 - 176 = -4*h. Suppose -3*g + 5*g - h*v = 34896, v - 17455 = -g. Is g a prime number? False Suppose -144*v + 134*v = 5560. Let x = 1927 - v. Is x a prime number? False Let v(t) = 1815*t**3 + t**2 + 15*t - 2. Is v(3) a composite number? False Let w(v) = v**2 - 6*v - 6. Let n be w(6). Let i(p) = 2*p + 2. Let t be i(n). Is t/25 + (-314)/(-10) a composite number? False Is (1*4 - (-53079)/39) + -4 a prime number? True Suppose 4*j = 2*v + 20, -v - 2*v = -5*j + 25. Suppose v = -y + 2*q - 0*q + 23560, -y - 3*q + 23565 = 0. Let t = y + -14029. Is t a prime number? True Is (336094/(-5))/(-9 + -2 - 318/(-30)) prime? False Suppose 4*h - 16 = 0, 0 = -4*u - h + 4*h + 44. Suppose -q = -3*m - 14917, -16*m + 59696 = 4*q - u*m. Is q composite? False Let a be (-3)/(-2) - (-3 - (-20)/8). Suppose -216 = -u - 0*g + 5*g, 2*g + 440 = a*u. Is u a composite number? True Let d = -358 + -253. Let a = d - -1660. Is a a composite number? False Let x(q) = -73*q + 47. Suppose 0 = 5*b + 5*y + 120, 5*b + 118 + 2 = 3*y. Is x(b) composite? True Let a(i) = -9*i + 3. Suppose -45 = 2*k + n - 4*n, 0 = -k - 2*n - 5. Let d be a(k). Suppose 5*p = 2*y - 83, -y - 2*y + 3*p + d = 0. Is y a prime number? False Let k(h) be the third derivative of h**5/20 + 23*h**4/24 + 59*h**3/2 - 142*h**2. Is k(-11) a prime number? False Let o = -5148 + -11288. Let a = -10309 - o. Is a a composite number? True Let o be ((-58)/(-4))/(-2 - (-49399)/24696). Suppose 18*w + i - 51144 = 14*w, 4*w = 2*i + o. Is w a composite number? True Let g be (-36)/(-28) + -1 - (-164)/14. Let j = -12 + g. Let q(t) = t**2 + 3*t + 46. Is q(j) a prime number? False Let g = 19462 - -42997. Is g composite? False Suppose -5*c = 3*v - 20, 12*v - 9*v = -3*c + 6. Suppose 24665 = c*g + 7683. Is g composite? True Let q(x) = -26*x**3 - 5*x**2 + 10*x + 39. Is q(-10) composite? False Suppose 2*z - 1000 = -6302. Let x = -918 - z. Is x a composite number? False Suppose 37*n = 43*n - 17478 - 96204. Is n composite? False Let a(j) be the third derivative of j**5/60 + 3*j**4/8 + 10723*j**3/6 - 12*j**2. Is a(0) composite? False Suppose -18*d = -8*d + 90. Let y(b) = 37*b**2 - 3*b - 59. Is y(d) a prime number? False Let u(n) = n**3 + 42*n**2 + 47*n + 32. Let j be u(-32). Suppose -j = -3*q + 3718. Is q a composite number? True Is (-192)/(-27 - -3) + 91*107 prime? False Let h(f) be the first derivative of -11*f**4/2 - 5*f**3/3 - 8*f**2 - 31*f + 202. Is h(-4) composite? False Suppose -8*x = 49 - 65. Let l(y) = 67*y**3 - y + 1. Is l(x) composite? True Suppose 8*m = -m - 9. Let x(v) = 37*v - 234*v - 236*v + 57 - 53. Is x(m) a composite number? True Suppose -142*p + 26935687 + 13357519 + 14518652 = 0. Is p composite? True Suppose 5 = 5*v, 0*m + m + 2*v = 17. Is (m/(-21))/(-5) + (-162384)/(-14) prime? False Let o = 150216 - -75517. Is o a composite number? False Suppose -280*u + 255618460 = -11*u + 71*u. Is u prime? False Let m be (2 + -5)/(66/(-77726)). Suppose w + m = 5*b - 54574, 23240 = 2*b + w. Is b a composite number? False Is (1/(3 - 0))/((-14)/111640368*-8) a prime number? True Let y(d) = 47
{ "pile_set_name": "DM Mathematics" }
unded to the nearest 10? -40 Let a = -5.29 + 5.290161. Round a to four dps. 0.0002 Let b = 10116118.99957 + -10116030. Let r = -92.8 + 3.8. Let t = r + b. Round t to four decimal places. -0.0004 Let q = -0.0136001 - -0.0133. What is q rounded to five decimal places? -0.0003 Let n = -25.1 + 14. Let w = n + -0.9. Let h = -12.18 - w. Round h to 1 decimal place. -0.2 Let d = 2531.987819 + -2532. What is d rounded to four dps? -0.0122 Let z(n) = n**2 + 12*n + 3. Let c be z(-11). Let h be ((-31758)/c + (-1)/(-4))*-1. What is h rounded to the nearest one thousand? -4000 Suppose b - 30 = -5*b. Let c(o) = -201*o**2 + 6*o - 5. Let n be c(b). Round n to the nearest 10000. -10000 Let h = 0.24 - 0.25. Let u = -0.018 + h. Round u to two dps. -0.03 Let f(v) = -v**2 - 3*v + 2. Let g be f(2). Let r = -11 - g. Let m be (32/12 + r)*159. What is m rounded to the nearest ten? -50 Let w = 252 + -252.0065. What is w rounded to four dps? -0.0065 Let k = 2.44 + -2.4465. Round k to 2 decimal places. -0.01 Let h = 0.965877 - 21.966017. Let d = -21.11 - -0.11. Let k = d - h. Round k to 5 dps. 0.00014 Let n = -0.408 - 43.492. Let h = -42 - n. Let l = h + -1.89999976. What is l rounded to 7 dps? 0.0000002 Let k = -125096498.9000222 - -125096333.9. Let v = 165 + k. What is v rounded to 5 dps? -0.00002 Let v = 172 + -287. Let n = v + -5. Let j = n + 120.071. Round j to 2 decimal places. 0.07 Let b = 107 - 98. Suppose -11*l + b*l = -906. Round l to the nearest 100. 500 Let l = 9.75 + -8. Let v = l + 0.5. Round v to 1 dp. 2.3 Let a = -1441576256 - 60283628. Let f = 1501859722.9999933 + a. Let o = -161 - f. What is o rounded to six decimal places? 0.000007 Let y = 4.3 + -4. Let v = y + -0.30044. Round v to four decimal places. -0.0004 Let o = 225 - 220.37. Let k = -4.6299809 + o. Round k to 6 decimal places. 0.000019 Let x = 20869761.67 + -20870071.6700814. Let g = -310 - x. What is g rounded to 5 dps? 0.00008 Let n = -0.002 + 0.058. Let j = n - 0.05600061. What is j rounded to seven dps? -0.0000006 Suppose -15*n = 16*n + 4411300. What is n rounded to the nearest ten thousand? -140000 Let w = -930.9 - -935.899984. Let a = 5 - w. Round a to five dps. 0.00002 Let i = -13 - -13. Let l = i + -4. Let g = -3.9984 - l. What is g rounded to three decimal places? 0.002 Let b = 16 + -14. Let n be (-1)/(-1)*(b + 2). Suppose -1614 = n*m + 3946. What is m rounded to the nearest one hundred? -1400 Let r(g) = -556998*g**2 - 6*g + 4. Let v be r(1). What is v rounded to the nearest one hundred thousand? -600000 Let q = 1.136 + -1.22. Let y = q + 0.08399781. Round y to 7 dps. -0.0000022 Let a = -570.72 + 552. Round a to the nearest integer. -19 Suppose 0 = -2*i - 477 + 1815. Suppose -5*a = 4*v + 104780, -4*a + 104075 + i = -4*v. Let q = 12190 + v. Round q to the nearest one thousand. -14000 Let m = -5248255.9999976 + 5248222. Let l = m + 34. What is l rounded to 7 decimal places? 0.0000024 Let m = -22557 + -70043. What is m rounded to the nearest ten thousand? -90000 Let d(v) = -13*v + 415*v**2 - 125*v**2 - 106*v**2 - 12. Let q be d(-6). Round q to the nearest 1000. 7000 Let k = 7541 - 7540.6269. Round k to two dps. 0.37 Let l = -30 - -75. Let z = 86150.84023 + -86195.84. Let i = z + l. What is i rounded to 4 dps? 0.0002 Let v = -0.0599 - -0.0596772. What is v rounded to five decimal places? -0.00022 Let f = 61.93692 - -0.09308. Let n = -1.03 + f. Let l = -50.9 + n. Round l to the nearest integer. 10 Let o(i) = i**3 - 10*i**2 - 24*i + 17. Let g be o(12). Suppose g*q = 7*q - 7240. Round q to the nearest ten. -720 Let y = -44 - -11. Let l = -32.99999948 - y. Round l to seven dps. 0.0000005 Let p = 6.83 - 0.33. Let g = p + 1.7. What is g rounded to the nearest integer? 8 Suppose 3*j - 2 = -f, 0 = -3*j - 0*j - 4*f + 8. Let v be j - (-1)/(-3) - (-277559)/87. Round v to the nearest one hundred. 3200 Let n = 5 - 5.2. Let c = 0.2 - n. Let f = c + -0.400008. What is f rounded to 6 dps? -0.000008 Let n = 1801.001009 - 1801. What is n rounded to five dps? 0.00101 Let d = 9284.06779 - 9284. Round d to 2 decimal places. 0.07 Let p = 1218001192 - 1218001343.0000002. Let x = p - -151. What is x rounded to seven dps? -0.0000002 Let y = -307438.9747241 - -307439. Let k = 0.0253 - y. What is k rounded to six decimal places? 0.000024 Suppose -29*r + 31*r = -6. Let h be (4/r)/((-13)/536250). Round h to the nearest ten thousand. 60000 Let b = 50018508 - -11981492. Suppose q + 4*q - b = 0. Round q to the nearest 1000000. 12000000 Let b(q) = -121899*q - 121. Let p be b(21). Round p to the nearest 1000000. -3000000 Suppose -3*y + 19 - 7 = 4*z, -4*z = -5*y + 20. Suppose -5891890 - 5608104 = -5*m - 2*v, 0 = m + y*v - 2299988. What is m rounded to the nearest 1000000? 2000000 Let k = -46 + 91. Suppose 3*q = -0*q - k. Let u be ((-400)/q)/(2/(-100500)). Round u to the nearest one hundred thousand. -1300000 Let w = 93.961 + -94. Let g = w - 0.045. What is g rounded to two decimal places? -0.08 Let t = -73.254371 + 96.2543706. Let c = -23 + t. What is c rounded to 6 dps? 0 Let c = -36.76 + 39. Round c to 1 dp. 2.2 Let s = 0.02 - -5.58. Let v = 4 - s. What is v rounded to zero decimal places? -2 Let a = -6.17 - -6. Let m = 0.05 + a. Let h = 1.82 + m. What is h rounded to the nearest integer? 2 Let t = -229.5 - -15.5. Let s = t - -89. Let o = -141.1 - s. Round o to 0 dps. -16 Let i = -0.0701 - -323.0701. Let f = 323.00000147 - i. Round f to 7 decimal places. 0.0000015 Let r = -240.6737 - -240.8. Let u = 0.133 - r. What is u rounded to three decimal places? 0.007 Let p = 22 - -463. Let t = 530.9 - p. What is t rounded to the nearest ten? 50 Let x be 1/(-2)*-4 - -54486. Suppose 2*g + x = -2*g. Let r = g + 4322. Round r to the nearest 1000. -9000 Let l = -165 + 99. Let n = -65.9999913 - l. What is n rounded to 6 decimal places? 0.000009 Let w = 36158930.7000029 - 36158925. Let m = 47 - 41.3. Let r = w - m. Round r to six decimal places. 0.000003 Let w = -111 + 190. Let h = 78.999894 - w. Round h to five dps. -0.00011 Let d(m) = 70940*m**2 + 19*m + 190. Let f be d(-10). What is f rounded to the nearest 1000000? 7000000 Let p be (0/4)/(4 + -5). Let z be (0 + 0)/1 + p. Suppose 4*w - 5*a = -7235566 - 3604409, z = 4*a + 20. Round w to the nearest one hundred thousand. -2700000 Let f = 1.9770654 + 0.0230666. Let h = f - 2. What is h rounded to 5 decimal places? 0.00013 Let c = -0.3 + -0.14. Let v = -0.439999 - c. What is v rounded to five decimal places? 0 Let x = 9328.443 + -9333. Let o = x - -4.8. Round o to two decimal places. 0.24 Let d = 0.34 - 0.18. Let m = 0.160083 - d. What is m rounded to five decimal places? 0.00008 Let c(a) = -1369*a**3 - a**2 + 2*a - 2. Let y(i) = i**3 + 7*i**2 + 9*i - 4. Let n be y(-5). Let b be c(n). Round b to the nearest 100. -1400 Let f = 1121216113 - 1121210597.05183. Let c = f + -5489.948. Let z = 26 - c. Round z to four dps. -0.0002 Suppose 0*w + 4*h + 11 = -w, -3*h = 4*w + 31. Let z(n) = n**3 + 6*n**2 - 2*n - 4. Let q be z(w). What is q rounded to the nearest 10? -40 Let c(k) = -12004*k**2 + 1. Let x(g) = -36011*g**2 - g + 2. Let n(m) = -8*c(m) + 3*x(m). Let l be n(-1). What is l rounded to the nearest ten thousand? -10000 Let p = 534361.700052 - 534367. Let x = p - -5.3. What is x rounded to 5 dps? 0.00005 Let b = -551 + 303. Let q = -248.0565 - b. What is q rounded to 3 decimal places? -0.057 Let k be (-6)/(-3) - (-7 + -1). Suppose 0 = s + k + 3. Let f = 4 + s. Round f to the nearest integer. -9 Let k(h) be the second derivative of 51*h**3/2 + h**2/2 + 6*h. Let j be k(7). Let a be 25/10*25*j. Round a to the nearest ten thousand. 70000 Let r = -11.974 - -12. Let o = r - 0.0112. Round o to 3 dps. 0.015 Let y(r) = -r**3 + 7*r**2 - 7*r + 14. Let k be y(6). Suppose 3*g + 2 = k. Suppose g*n = 18078041 + 2921959. What is n rounded to the nearest one million? 11000000 Let m be 0 + (3957*(-20)/(-12) - -5). What is m rounded to the nearest one hundred? 6600 Let c = 57 - 57.004965. Let p = c + 0.005. What is p rounded to five dps? 0.00004 Suppose 0 = 121*i - 149*i + 63196. Round i to the nearest 100. 2300 Let x = 153.000002128 - 153. Round x to 7 decimal places. 0.0000021 Let c = 174.716 + -175. What is c rounded to two decimal places? -0.28 Let z = 58781 - 29681. Round z to the nearest 10000. 30000 Let
{ "pile_set_name": "DM Mathematics" }
= a - -4.79. What is the nearest to u in -1, -1/6, y? -1/6 Let k = 567 + -591. Let v = k + 21. Which is the nearest to -2/3? (a) 2/11 (b) v (c) -10 a Let d = -3609.07 - -3692. Let s = -0.92 - 82.08. Let k = s + d. Which is the nearest to 2? (a) -0.4 (b) k (c) 0.5 c Let l = -8958 + 8957.6. What is the closest to -3.8 in 1/6, l, 1? l Let h = 438 + -437.6. Let y = 0.4 - -0.6. What is the closest to -1 in y, h, -2/21? -2/21 Let f = 1.2 + -5.8. Let k(a) = a**3 - 10*a**2 - 16*a + 56. Let w be k(11). What is the closest to 0.2 in f, w, -3? w Let z = 7226/2065 + 306/59. Let o be ((-42)/8)/(25/40). Let t = o + z. Which is the nearest to t? (a) 5 (b) -0.1 (c) 3 b Let u be 78 + (-4 - (-7 - -1)). Let v = 319/4 - u. What is the nearest to v in -5, -0.05, 1? -0.05 Let l be 6052/(-4005) - (-7)/5. What is the closest to -0.2 in 0.2, l, -18/13, 5? l Let z be -2*(-1)/(3/(-6)) - 0. Let d = 1175 - 1187. Which is the closest to 2/5? (a) z (b) -2/11 (c) d b Let q = 0.40332 - -0.09668. What is the closest to -2 in -0.7, 1/3, q, -0.6? -0.7 Suppose 0 = -5*h + 52 - 187. Let o = -79/3 - h. Let z = 9 - 8.1. Which is the closest to o? (a) -3/8 (b) -2/3 (c) z c Let l be 4 + (-10)/14 + -3. Let p = 1430 + -1428. Which is the closest to -4? (a) l (b) p (c) 4 a Let t = 97/2 + -46. Let o = -7034/30843 - -20/3427. Which is the nearest to -1/4? (a) o (b) t (c) -1 a Suppose 0 = 44*m - 28*m - 4848. Let d = m - 2119/7. Which is the nearest to 1? (a) d (b) 12 (c) 2 a Let h = 1.3 - 1.4. Let f = -6.7 + 7. Let d = -2645 - -44959/17. Which is the closest to d? (a) h (b) 4 (c) f a Let i = 10.9926 - 9.9926. Let n = 1 - -3. What is the closest to 2/3 in i, -4, n? i Let z = -215.359 + 214.4. Let y = 0.87 + z. Let f = y + -0.011. What is the nearest to -1 in 4, f, -3? f Let t = 9/1844 - 235/922. What is the nearest to -17 in -4, 2, -3/4, t? -4 Let k = 3.24818 - 0.24818. What is the closest to k in 1, 0.5, 0.1, -9? 1 Let n = 1851/8 - 3303/8. Let s = n + 183. Which is the nearest to -1/2? (a) -1 (b) s (c) 3 a Let v = -5596 - -5593. What is the closest to -0.0717 in -4/7, 4, v? -4/7 Let s = -13587 - -13587. What is the nearest to -0.1 in -5/4, s, -7/34, -2? s Let q = 2.3551 - 2.4551. Which is the nearest to 0.048? (a) q (b) 4/3 (c) -3 (d) 0.4 a Let i = -0.1025 + 2.1325. Let s = i - 1.53. Suppose -3*k = -3*v - 5*k - 9, 0 = -5*v + 3*k + 4. Which is the closest to -0.1? (a) 0.3 (b) v (c) s a Suppose -3*w - w + 4 = 0. Let p(u) = u**3 + 3*u**2 + 3*u + 1. Let o be p(-1). Which is the closest to w? (a) -5 (b) 9 (c) o c Suppose 0 = 2*u - 4*u - 4. Let b = -10774/393527 + 3/2039. Let m = b - 291/3667. What is the closest to 1 in 0.2, u, m? 0.2 Let m = 254 - 1777/7. Let j be -2*44/(-24) + -4. Which is the closest to j? (a) m (b) 0.5 (c) -3 a Suppose -10*w + 3*w + 1190 = 0. Suppose -18*n = -170 + w. Which is the nearest to 2? (a) -1/6 (b) n (c) 8 (d) -1 b Let s(f) = 5*f**2 + 58*f + 215. Let d be s(-6). What is the nearest to d in 3/5, 0.01, -1? 3/5 Let c = -27 - -13. Let d = 13 + c. Let l = -0.1974 + 1.1974. What is the closest to d in -3/2, l, 2? -3/2 Let d = 3.32 - -346.68. Let r = d - 346. Which is the nearest to r? (a) 4 (b) -1/10 (c) 0.5 a Let c be 0 - -2 - (1 - 8). Suppose 14*u - 297 + 255 = 0. Suppose -c = 4*d - u*j, -10 = 4*d - d + j. What is the nearest to 0.2 in 0.5, 5, d? 0.5 Let i be 6 + (-6006)/882 + 4/42. What is the nearest to -10 in 4, i, -1? -1 Let c(s) = 4*s + 16. Let y be c(-5). Let b be (-1)/((-6)/y + 18/12). Let j be (-5 - -1)*2/(-20). What is the closest to j in 0, 0.2, b? 0.2 Let h = -230/21 - -3868/357. What is the closest to -2 in 2, 3/95, h? h Suppose y = -3*q + 13, 0 = 2*y + q - 1 - 0. Let g be (4*(-5)/240)/(42/48). Which is the closest to -117/7? (a) 0.5 (b) y (c) -3 (d) g c Let r(q) = q**3 + 7*q**2 - 8*q. Let w be r(-8). Let t = -0.7 + 0.5. Which is the closest to w? (a) -1/3 (b) t (c) 1 b Let x = -291.9757 + -0.0243. Let f = 291.9 + x. Let t = 0.3 + -0.2. Which is the closest to f? (a) t (b) -0.01 (c) -1/2 b Suppose 37*y - 24 = 13*y. Let j = -0.16 - -15.16. Let i = 95.8 + -96. What is the closest to j in y, i, -2/7? y Let o be 9 + 1 + -5 + 33/(-9) - 0. What is the closest to 1 in -27, o, 4/5, -2? 4/5 Let h = 13804 + -13804.05. Which is the closest to -4? (a) 5 (b) h (c) -133 b Let m be 0*(-1 + 0 - -2)*-1. Let t = -53 + 50. What is the nearest to 9 in m, t, 3? 3 Let p = 23598 + -23599. Let y = 0.07 + 4.93. What is the nearest to p in -4/7, y, -1/3? -4/7 Let j be (4/20)/(50/100). Which is the closest to 4/35? (a) j (b) -0.4 (c) -1 (d) 0.2 d Suppose 0 = w - 65 + 25. Let o be (45/w + -1)/1. Let r = -2.7 + -0.3. Which is the nearest to r? (a) 0.4 (b) o (c) -0.1 c Let h = -3.88 + 3.68. Let p be ((-8)/(-10))/((-16)/(-40)). Let q be 3 + -3 - (-3 - p). Which is the nearest to -1? (a) q (b) h (c) 0.2 b Let h(c) = -c + 4. Let p be h(6). Let s be p/(-3) - 8/12. Let x = -1967 + 3927/2. What is the closest to x in 3/7, s, 2/11? s Let q = -0.5186 + 0.7186. Suppose 3*r + 5*f + 17 = -0*r, 3*r = 4*f + 19. What is the closest to -0.08 in -2, q, r? q Let w be (-1)/(34/68 - (-2)/(-3)). Let k be -9 + (-116)/(-12) - 1/w. Let g be (-1)/((-2)/(-8)*-2). Which is the closest to k? (a) -4 (b) 0.5 (c) g b Let d = 1.52 + -0.22. Let x = d - 1. Let z be 8 + 150/(-18) - 17/(-33). What is the nearest to x in -4/7, z, -2? z Let s = 13 - 18. Let c = -8872.2 - -8110. Let f = -762 - c. What is the closest to 2 in s, f, -2? f Suppose 9*o = -36*o + o + 176. Which is the closest to -107? (a) -0.3 (b) -2 (c) o (d) 1/4 b Let c(g) = 1. Let i(a) = -2*a**2 - 14. Let o(z) = -12*c(z) - i(z). Let j be o(1). What is the nearest to 0.1 in 0.2, 0.03, j? 0.03 Let g = 0.10457 + -0.13457. What is the closest to -2/3 in 1, 3/5, g, 5? g Suppose 0 = -m + z - 3, 0*m + 2*z = -2*m - 14. Let r = 0.839 + -0.8953. Let u = -0.2437 + r. What is the closest to -1 in m, u, -1? -1 Let n = 2.6 + -2.5. Suppose 7*x = -2*i + 3*x - 20, 2*i - 2*x - 10 = 0. Suppose -22*j - 16 - 8 - 20 = 0. Which is the closest to n? (a) j (b) 4 (c) i c Suppose 87*p = 86*p - 1, 2*p + 14 = 4*k. What is the nearest to k in -2, -11, 0.5? 0.5 Let j(u) = u**3 - u + 2. Let n be j(0). Suppose -4*y + n*y = 0. Let i = 160432/145 + -32098/29. Which is the closest to 3/4? (a) -3 (b) i (c) y c Let i = -845 - -4212/5. Let p = 6 - 6.5. Let u = p - -1. Which is the closest to i? (a) 1/4 (b) u (c) -1/6 c Let p be (-1)/7*(-1953)/(-372). Let y be (-5 + (-144)/(-30))/((-2)/(-8)). Which is the closest to 8? (a) 4 (b) y (c) p a Let t = -4027 - -24217/6. Let q = -32/3 + t. Let m = 1079/8 - 1075/8. Which is the nearest to -2? (a) q (b) -3/8 (c) m a Let p be 10/126 + 14/(-63). Let l be (4/(-30))/(4 + (-96)/30). Let s = l - 1/2. Which is the closest to s? (a) -2 (b) p (c) 4 b Suppose 3*d - 4*q - 3 = -10, 0 = 4*d + 4*q. Let o be (-20 + 9)/(d/(-1)). Let n be (-2)/o + (-108)/110. Which is the closest to -1? (a) n (b) 3 (c) -1/2 a Suppose -57*q = -58*q + 7. Let l(u) = u**3 - 7*u**2 + 2*u - 11. Let s be l(q). Suppose s*p - 4 = -7. What is the closest to -1/4 in p, 2/5, -2? 2/5 Let q = 77 + -79. Let t be (-2)/(-7) - (-2 + 1854/21). Let g = -62 - t. Which is the closest to g? (a) -4 (b) q (c) -1 c Suppose -2*h + 4 = 0, -7*h - 64 = 2*v - 9*h. Let i be (-30)/(-12) - (-57)/v. What is the closest to -0.2 in i, 1, -5? i Let v(w) = 2*w + 18. Let p be v(-11). Let x be 24*(p - 1/(-3)). Let m = x - -173/2. Which is the closest to -0.2? (a) m (b) -2/11 (c) 0.15 b Let f = -0.4932 + -0.0068. Which is the nearest to -1/4? (a) f (b) 0.22 (c) -0.02 c Let p = -25119 + 25119.5. Let f = -482 - -12046/25. What is the closest to -2 in p, -3, f, -2/3? -3 Let j = -211/1580 + -21/316. What is the nearest to -1/3 in 5, 1/3, j? j Let o = 17 + -15.06. Let d = o - -0.06. Let j = 0.92 + 0.08. What is the closest to 0 in -4, j, d? j Let k = -0.1186 + -1.8814. Let x = 0.05 + 0.05. What is the closest to 2/5 in 0.3, x, -12, k? 0.3 Let l = 0.04491 - -0.04509. Which is the closest to 0.1? (a) l (b) -1 (c) -0.5 (d) -1/16 a Let g = -105335 + 12218775/116. Let v = g + -1/58. Suppose 3*y - 2 = 5*y - 5*a, 3*y - 5*a - 2 = 0. What is the nearest to v in -4/7, y, -4/3? -4/7 Let p = 0.02342 + -1.02342. Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
)/(-9))/((-18 + 12)/12). -8/3 Calculate 8/55*(228 + -153) - 11. -1/11 (-6)/33 + 136/(-544)*984/(-22) 11 Calculate 30/(-6) + ((-1)/(-7) - (-380)/35). 6 Calculate (7/(-4))/((-9)/(-14 - -23)). 7/4 What is the value of -10 - -3 - -7 - -2? 2 (-175)/315*339/(-10) + (-10)/12 18 What is (56086/14505)/(4/(-30))? -29 What is 1332/(-4320) + 8/30? -1/24 Evaluate (189/(-2520))/((-2)/((-10)/9)). -1/24 What is the value of (21/(-216) - (-2)/9)/(-9 - -7)? -1/16 What is the value of (-58)/(-203) + ((-4)/(-10) - 227/280)? -1/8 What is (-3)/7 - 19257/(-40131)? 2/39 Evaluate -16 - 4 - 55632/(-2562). 12/7 Calculate (-9)/(-27) - (147/36 + -3). -3/4 What is the value of 18/3 - 1/((-54)/(-300))? 4/9 (-9)/((-81)/(-4)) + 5 + 869/396 27/4 What is (12 - (-165)/(-22))*(-15)/((-135)/(-12))? -6 Evaluate -7 + (-713)/(-23) - 3. 21 (616/(-42) + 14)*-18 12 What is the value of (-7 - 0)/((-2924)/(-129) + -23)? 21 What is ((-6)/15)/((-49)/(-98))? -4/5 (-18)/(-30) + ((-285)/(-25) - 9) 3 What is the value of -1 + 27 - 7644/312? 3/2 (-53)/(-371) + (-142)/14*(-14)/(-14) -10 Calculate (-454)/(-24) - (-9 - 1498/(-168)). 19 (-2 + (-252)/(-98))/(3 - 1) 2/7 Calculate (-170)/14 + 111/777. -12 (-19)/76 - 106/(-8) 13 Calculate 23/(115/35) + -2 + (-183)/33. -6/11 Calculate ((-5)/10)/(24/8*18/81). -3/4 23/((-7820)/3100) + 9/1 -2/17 Evaluate (82/(-12) - -6)/(110/88). -2/3 What is the value of 1*(-1121)/228 + (-2)/24? -5 What is -2 + 27/(-15)*1425/(-1368)? -1/8 Evaluate -19*2 - (-2791 - -2742). 11 Calculate -4*16/608 - (-2 - 870/(-399)). -2/7 Evaluate 10/50*0 + -9. -9 Calculate 26/(13520/184) - 2/10. 2/13 What is the value of (2/(-8) + (-28)/(-48))/(1025/(-83025))? -27 What is (26/(-13) + 3)*4? 4 What is the value of -33 + 41128/1248 - 1/(-12)? 1/26 Calculate (-12)/(-30)*(0 - 0 - 10*-3). 12 Evaluate (((-12)/38)/2)/(-12*29/(-232)). -2/19 What is the value of 198/12 + -11 + 0 + 1? 13/2 Evaluate (4/12)/((-4)/18) + (-657)/438. -3 What is the value of ((-25)/45)/(20/8) + 0? -2/9 Evaluate (-45)/(-180) + (-65)/100 - (-2)/10. -1/5 Evaluate (-42)/(-49)*(-168)/(-32). 9/2 Evaluate (219 + -213 + 10/(-2))*(-38)/(-2). 19 Calculate 60/(-210) + ((-150)/(-63) - 2). 2/21 What is the value of ((-6)/(-20))/(-1*27/(-12) + 6)? 2/55 (-12)/(-90) + (-104)/30 - (4 + -7) -1/3 Evaluate 296/(-24) - (-390)/(-585). -13 Calculate (4 - 238/51)*1/(-3). 2/9 (45/243)/(40/24*(-6)/(-4)) 2/27 30/(-25) + (27 - (-4540)/(-175)) -1/7 (-8 - (-14 + -2))/14 - (0 + 1) -3/7 (6453/(-729) - -9)/(-4) -1/27 What is ((-567)/14)/(-3)*(-12)/(-27)? 6 Evaluate -3 + 44/(-7) - (-12)/42. -9 Calculate (1 - -1)*(-6)/(-4) - 5161/1191. -4/3 What is ((-10)/(-35) + 938/147)/(10/30)? 20 What is (20/(-136))/(-4*(-50)/320)? -4/17 ((-77)/(-55))/((4/(-5))/(1 - 0)) -7/4 What is ((-4)/16)/(27/2052)? -19 16/((-8)/4) - 3052/(-3528)*9 -3/14 Calculate ((-255)/(-9) + -20)/(3 - -2). 5/3 Evaluate 2 + -6 - (78 + -72). -10 What is the value of 56/(-35) - (12444/30)/17? -26 What is ((-10)/(-5))/(5 + (-1339)/273)? 21 What is ((-47)/(-141))/((-2)/(-3))*(-4)/5? -2/5 Evaluate (8/1 - 465/93)*6/(-81). -2/9 Calculate -2 + -3*4/4*1. -5 Calculate 20/(-5)*8/(-24)*(-6)/(-124). 2/31 Calculate (4*10/(-160))/((-3)/(-8)). -2/3 Calculate -6 + 20/(-5) - 8/((-8)/4). -6 Calculate 8 + ((-46)/(-20))/(52/(-208)). -6/5 What is (-117 + 101)*4/(-6)*120/64? 20 What is (4 - (969/(-68) + (-2)/(-8))) + -3? 15 Calculate (-46)/529 + 2160/35420. -2/77 What is the value of 2/(-11 + 200/30)? -6/13 -2 - ((-202)/17 - -18 - 2*4) -2/17 Evaluate (1/5 + 9324/(-370))/1. -25 Evaluate (-8)/(-30)*(-385)/44. -7/3 Calculate 13 + (0 - -5 - (32 - 24)). 10 Evaluate (-4 + (-32)/(-9))*-18*16/64. 2 (8/(-6))/((-125)/150 + 14/12) -4 What is the value of (4 + (13 - 5 - 7))*48/20? 12 What is (-1276)/40 - 864/(-27)? 1/10 What is 1/19 - (14 + (-11288)/323)? 21 What is ((-3)/117)/((-2)/12)? 2/13 174/9860*-34 + 1 + (-144)/10 -14 1*4*(-75)/(-42) + (-13)/91 7 What is the value of (-56)/(-672) - 532/48? -11 What is 15/5*7/(-175) - (-16)/200? -1/25 What is 2*((-51)/34 - -7)? 11 Evaluate 135/108 - 585/(-180). 9/2 What is the value of (-15)/(4080/(-512)) + -2? -2/17 What is -2 - -1 - (-216)/240 - 1434/60? -24 ((-5)/(-14))/(45650/19173) 3/20 Evaluate 2 - 4/5 - (-8 + 17 - 9). 6/5 (8 - 7210/903)/((-6)/(-18)) 2/43 What is 6/26*20/(-30)? -2/13 What is the value of (21/((-420)/(-64)))/(((-12)/15)/(-4))? 16 Calculate (-22 + 10 + 11)*(4 - (-536)/(-132)). 2/33 (205/(-2255))/(2/(-10)) 5/11 Calculate ((-3)/4)/(-6*(-21)/(-112)). 2/3 32/(-6) - 1/(6/(-42)) 5/3 Calculate (-6*19/(-4))/(9/6). 19 7291/43746 + 0 + (-25)/186 1/31 What is (91/21)/((-24)/36)*2? -13 600/(-25) - (460/(-80) + 6/8) -19 What is (-7*(-99)/308)/((-33)/88)? -6 Evaluate (-15)/(-66)*16/(-200)*-10. 2/11 Calculate (6/(-8))/(10 - 13) - 429/3300. 3/25 What is the value of 5/1 + (-5 - 30/(4 - 7))? 10 Calculate -3 - 4 - (8 - (-1881)/(-126)). -1/14 Calculate (0 + (-5)/(-6))/(11*175/(-3465)). -3/2 Evaluate (-1432)/(-120) + -12 - (-3)/(-5). -2/3 What is (45/(-9) - (-84)/18)/(42/(-224))? 16/9 Calculate ((-9)/(-60))/((-105)/28 + 3). -1/5 Evaluate 4/(-3)*(6 + (9 - (-1215)/(-80))). 1/4 6 + (6/(-96))/((-8)/(-776)) -1/16 What is 18/(-324) - (-28)/(-360)? -2/15 What is (-6039)/29524 - (-4 + (-126)/(-33))? -1/44 Evaluate (-30)/(-5) + 17/1 - (-9 + 17). 15 What is (-1*10/2)/(493/1479)? -15 What is the value of 1/6 - (-7161)/(-1386)? -5 Evaluate -3 - (18/6 - 1)/((-2)/7). 4 Calculate (1 + (-17)/20)*(589/(-93) - -7). 1/10 Evaluate 75/(-3) - (-195)/39. -20 Calculate (-2 + (-8)/6)/(364/546). -5 What is the value of (54/(-120) - (-1)/4)/(12/8)? -2/15 What is (192/128)/((9/(-48))/1)? -8 What is 4/30 + (-28)/420? 1/15 Evaluate 10*(-51)/19125*(1 - 6). 2/15 What is the value of (-2216)/(-72) - (-144)/648? 31 (35 - 1) + (-180422)/5310 1/45 What is 585 - 574 - 79/7? -2/7 What is the value of 3 + 70/(-60)*6 + (-30)/(-4)? 7/2 ((-2)/(-6))/((-3)/90 + 0) -10 Calculate 147/42*-8 + 15. -13 ((-16)/(-60))/(30/(-125)) -10/9 Calculate (3/6 - 1)/((169/416)/13). -16 What is the value of 117007/(-5324) - (1 + -23)? 1/44 (-93568)/(-5168) + (-36)/((-8)/(-4)) 2/19 What is the value of 36/(-399)*35*(-19)/2? 30 1*(-8)/1 - (-7828)/988 -1/13 What is (-6 - -4)/((-5)/(-5))? -2 What is the value of (36/33)/(444/6512)? 16 Evaluate (-8)/(-20) + (-19)/35 + 935/77. 12 What is the value of ((-10)/1190)/(2/(-34))? 1/7 What is the value of (233 + -237)/(16/(-28))? 7 What is the value of -20 - (-39)/26*70/15? -13 What is (-4)/10 + 2032/4445? 2/35 What is -10*22/(-14) - 46/(-161)? 16 Calculate (4*-1)/(3*192/36 + -2). -2/7 -34 - 40303/(-574) - 36 3/14 (-3 + 1)*1*(-68)/4 34 ((-1)/(-2)*36/(-1602))/(5/10) -2/89 What is (-1)/(20 + (-9207)/459)? 17 Evaluate 6 - 30/(-21) - 16*2/4. -4/7 Evaluate 63/(-14)*(-62)/93. 3 What is the value of (1 + 5)*1/(45/(-18) + 2)? -12 What is ((-16)/216 - (-86)/432)*(-68 + 0)? -17/2 25/(-14) - 855/1197 -5/2 (24/(-54) + (-4)/18)/((-2)/36) 12 Calculate (-84)/105*((-10)/(-4))/(1/2). -4 What is the value of 960/(-3040) + (-1692)/57? -30 What is the value of (7/((-70)/(-12)))/(627/(-2090))? -4 What is the value of (-3 - (9 + -14)) + 6 - 6? 2 Evaluate ((-6)/8)/(72/6708*13) + 5. -3/8 What is the value of (-3)/30*45/54*-2? 1/6 What is (3 - (10/(-4)*-1 + 1))*6? -3 What is the value of (-1770)/(-7434) + (-3)/(-7)? 2/3 What is the value of ((-302)/(-17214))/((-5)/90)? -6/19 Evaluate ((-4365)/582)/(3/(-2)). 5 Calculate (-1 + 910/950)/(8/(-20)). 2/19 What is the value of (-1)/8 + (-7636)/1120 + (-126)/(-18)? 2/35 What is ((-7007)/(-21))/(-13) - -13 - -13? 1/3 Evaluate (5 - -6) + 120/(-10 - 2). 1 What is the value of (-2)/4*6 + -8 - (-94)/(-47)? -13 Calculate 7 - 250*((-119)/(-252))/17. 1/18 What is 73/(-2555)*3*-5? 3/7 What is the value of 429/(-26)*(-18)/231? 9/7 158/(-22) - (69 + -76) -2/11 2 + (-60)/5 + 11 + -14 -13 What is the value of (-1 + 0)*19/6 + (-28)/(-168)? -3 What is (-2)/(-44 - (-14 + -26))? 1/2 What is the value of (-17)/(4624/32) + (-90)/102? -1 Evaluate (-4504)/(-5630)*(-15)/4. -3 What is ((-423)/(-3807))/((3/(-4))/(9/6))? -2/9 Calculate (-115)/5 - 1*-1*(1 - 4). -26 Calculate 21*-21*40/980. -18 What is the value of 11 - (-9 - -3) - (-5 + 2 + 6)? 14 What is the value of ((0/(-3)*12/72)/(-3))/(-3)? 0 (-1178)/260 - (-3070)/99775 -9/2 What is -1*5/(140/196)? -7 What is the value of 10 - (101371/10452 - 2/(-8))? 2/39 Evaluat
{ "pile_set_name": "DM Mathematics" }
-32788623 divided by -15547 2109 Divide -63036060 by -1. 63036060 Divide -210370507 by -210370507. 1 Calculate -250090 divided by -178. 1405 Calculate -539268 divided by 157. -539268/157 What is 93568670 divided by 20105? 4654 Calculate 751792383 divided by 83532487. 9 -203826240 divided by 192 -1061595 Divide -10578 by 2563. -10578/2563 Divide -72712131 by -3657. 19883 What is 49505445 divided by -1431? -34595 Divide 4 by -1989774. -2/994887 Divide -2 by -37818564. 1/18909282 Divide -148974 by -145. 148974/145 734185351 divided by 6 734185351/6 Calculate 6589400 divided by 1317880. 5 -17429 divided by -472 17429/472 What is -301294 divided by 16? -150647/8 Calculate 0 divided by -2478437. 0 Divide -34055346 by 11351782. -3 Calculate -1935351 divided by 19549. -99 Calculate 561731 divided by -16. -561731/16 7679750 divided by -1535950 -5 -431673981 divided by 4 -431673981/4 -627 divided by 410709 -209/136903 Divide -25728156 by -2858684. 9 Calculate 67642288 divided by -1207898. -56 Divide -67482792 by 165399. -408 Calculate 1682107 divided by 240301. 7 Divide -858663 by 108. -95407/12 What is 39214824 divided by 594164? 66 What is 2849888 divided by -89059? -32 Calculate -9 divided by -2112430. 9/2112430 3309037 divided by 6 3309037/6 What is 395965834 divided by 4082122? 97 1843022938 divided by -1 -1843022938 Divide 175179040 by -1904120. -92 What is -10988392 divided by 86? -127772 Calculate -40339865 divided by -6. 40339865/6 -894370075 divided by 1865 -479555 Calculate -194 divided by 11056. -97/5528 Divide 653525 by 214. 653525/214 -3788300 divided by -757660 5 Divide -225742420 by -594059. 380 Divide -80698068 by -407566. 198 Divide -18 by -349955. 18/349955 Calculate 1837862 divided by -13. -141374 Divide 15640 by 1559. 15640/1559 Calculate -5373 divided by 8. -5373/8 Divide -9163080 by -4. 2290770 What is 269458596 divided by -4? -67364649 What is -18660300 divided by -150? 124402 Divide 1599 by -4842. -533/1614 Divide 9310984 by 2327746. 4 99 divided by 2362978 99/2362978 Divide 189428627 by 9781. 19367 Divide 92047728 by -30682576. -3 Divide -94058403 by 111. -847373 Calculate 392956488 divided by 6. 65492748 19249688 divided by 60 4812422/15 Calculate -27487418 divided by 4. -13743709/2 -61647894 divided by -49161 1254 What is -360453112 divided by -260443? 1384 What is 34809684 divided by 63754? 546 -101385260 divided by 20277052 -5 Calculate 5 divided by 4018145. 1/803629 What is 0 divided by -2706949? 0 What is 22441230 divided by -1611? -13930 What is 4 divided by 21209? 4/21209 Divide -11876380 by 4. -2969095 Divide -23071 by -138. 23071/138 What is -98922780 divided by 846? -116930 Calculate 174386599 divided by 1. 174386599 What is 760060 divided by -27145? -28 Calculate 56502360 divided by 135. 418536 Divide 65972459 by 1. 65972459 Calculate -304629912 divided by 555894. -548 Calculate 248539280 divided by 176. 1412155 140046357 divided by -43131 -3247 What is 591786 divided by -13? -45522 Divide 12536412 by -35116. -357 Calculate 24110 divided by -19. -24110/19 Divide -4789 by -2793. 4789/2793 Calculate 11463047 divided by 138109. 83 What is 0 divided by -4624155? 0 Divide 2398800 by 30. 79960 What is -6622875 divided by 441525? -15 Divide -159010606 by 159010606. -1 What is -1116758 divided by -75? 1116758/75 Calculate 195215580 divided by -420. -464799 -11852445 divided by -37155 319 Divide -13802850 by 8325. -1658 Calculate -30 divided by -164435. 6/32887 Calculate -1040 divided by -3707. 1040/3707 What is 87314994 divided by -6? -14552499 Divide 4 by -5260939. -4/5260939 Calculate -116240 divided by -690. 11624/69 Calculate 12248892 divided by 4082964. 3 What is -4833601 divided by -60? 4833601/60 -380743397 divided by -1 380743397 4 divided by -149425236 -1/37356309 Calculate -22640457 divided by 1253. -18069 37847888 divided by 4 9461972 What is -350 divided by -8435? 10/241 -5159768 divided by -5 5159768/5 Divide 115 by 3629. 115/3629 What is 2195064 divided by -2? -1097532 -6550431 divided by 2183477 -3 Calculate -457215012 divided by -23094. 19798 Divide -4497528 by -16908. 266 Divide 7813401 by 2. 7813401/2 Calculate 16991 divided by 30. 16991/30 Divide -38 by -429999. 38/429999 What is 7 divided by -29050? -1/4150 -33 divided by 126342 -11/42114 What is 2 divided by -8437844? -1/4218922 -53931833 divided by -7 53931833/7 Divide 163 by 1988594. 163/1988594 Divide 5105483 by 58. 5105483/58 Calculate 8844699 divided by 2948233. 3 Calculate 114928485 divided by -1094557. -105 Calculate 16 divided by 4486632. 2/560829 2237600 divided by -40 -55940 Calculate 1875530324 divided by -6. -937765162/3 What is 444540 divided by 6? 74090 Calculate 34139804 divided by 6. 17069902/3 What is -303789941 divided by 91? -3338351 Divide 15 by -718966. -15/718966 What is 33868692 divided by 78948? 429 Calculate 13815028 divided by 3453757. 4 What is -1 divided by 1295666? -1/1295666 What is -44 divided by 98342? -22/49171 2538 divided by -6500 -1269/3250 Calculate 1052110 divided by 5. 210422 Divide -107022540 by 32829. -3260 What is 35173202 divided by -59314? -593 2635420 divided by -658855 -4 Calculate -365893 divided by 4. -365893/4 940163908 divided by -1094 -859382 What is 30219 divided by -914? -30219/914 Calculate -6673156 divided by 854. -7814 What is -5894798 divided by -9254? 637 Divide 488861103 by 3. 162953701 15747036 divided by -4 -3936759 Calculate 149755391 divided by 5163979. 29 Divide 1014 by -7608. -169/1268 -1 divided by -16916863 1/16916863 Divide -256753612 by 6. -128376806/3 What is -9175740 divided by -187260? 49 1608 divided by -18106 -804/9053 What is -142579892 divided by -27014? 5278 What is -117765675 divided by 9? -13085075 -160833 divided by -812 160833/812 Divide -204699 by 36. -68233/12 What is -20152304 divided by 1259519? -16 Calculate -1 divided by -45110630. 1/45110630 Divide -394448 by -356. 1108 Calculate 0 divided by 48110682. 0 Divide 1345 by 17031. 1345/17031 Calculate 384335 divided by -326. -384335/326 30484656 divided by 10161552 3 Calculate 314890784 divided by -322634. -976 What is 11590379 divided by -1? -11590379 What is 2232 divided by 406213? 2232/406213 Divide 2307196 by -4. -576799 Divide -1086481430 by -5. 217296286 Calculate 79758756 divided by -13761. -5796 Divide 71245790 by 1. 71245790 Divide -171094272 by -768. 222779 What is -4752246 divided by 62? -2376123/31 -58307621 divided by -28073 2077 What is 2176426 divided by 1162? 1873 What is -66378 divided by 515? -66378/515 Calculate 11011313 divided by -1973. -5581 Divide 281 by -787031. -281/787031 What is -79791767 divided by -14? 79791767/14 Divide 9 by 173338976. 9/173338976 Calculate 6470185 divided by -2. -6470185/2 Calculate 36189139 divided by -2711. -13349 Divide 97092108 by 39087. 2484 Divide 10630 by -230. -1063/23 -9205498 divided by -2 4602749 123904000 divided by 225280 550 Calculate 3549128 divided by -44. -80662 Divide 71286 by 11824. 35643/5912 Calculate 0 divided by 1900509. 0 What is 2888354 divided by 206311? 14 Calculate -161966450 divided by 111701. -1450 Calculate -91844392 divided by 45922196. -2 -5 divided by -3240941 5/3240941 Divide -1028759 by 709. -1451 Divide -2534044 by -53. 2534044/53 What is -19611498 divided by 179922? -109 What is -3265695 divided by -31? 105345 Divide -20731106 by -1718. 12067 What is 8986 divided by 11? 8986/11 49 divided by 570215 49/570215 Divide -5547780 by 102. -54390 Calculate -55 divided by 346092. -55/346092 Divide -209012150 by -5. 41802430 Divide 3092522 by 8. 1546261/4 Calculate -13170209 divided by -2. 13170209/2 Divide 6109534 by 4951. 1234 Divide -120497139 by -729. 165291 Divide -1095805314 by -3. 365268438 Divide 210 by 2050259. 210/2050259 Divide 3821325 by -1. -3821325 -217554 divided by 148 -108777/74 Calculate -19850233 divided by 2. -19850233/2 752039400 divided by -210 -3581140 Calculate 11298245 divided by 2259649. 5 Calculate -172302 divided by 22. -86151/11 Calculate 320597130 divided by -35. -9159918 What is 8820581 divided by -2? -8820581/2 What is 572871 divided by 15? 190957/5 1315920 divided by 2 657960 -9728 divided by 11912 -1216/1489 Calculate 83813535 divided by -5. -16762707 What is 59347 divided by 475? 59347/475 -69213333 divided
{ "pile_set_name": "DM Mathematics" }
2*x**2) as u*x**3 + i*x**2 + a + o*x and give u. -483 Express n**3 + 0*n**3 + 0*n**3 + (-n + 2*n + 0*n)*(-57*n**2 - 50*n**2 - 7*n**2) + n**2 - 2*n**3 - n**2 in the form u + v*n**2 + b*n**3 + r*n and give v. 0 Express -323 - 10*t + 5*t + 0*t + 0*t + 4*t as m + q*t and give q. -1 Rearrange -25*c - 25*c + 46 + 81*c - 11*c to f + w*c and give w. 20 Express 96*d**2 + 2*d**4 - 249*d**2 - 15*d**3 + 155*d**2 - 6*d - 2 in the form c + v*d**2 + s*d**3 + g*d + m*d**4 and give c. -2 Rearrange (-4 + 0 + 2)*(9117 - 9117 - 23*u**2)*(-35 + 16 - 6) to m*u**2 + p*u + k and give m. -1150 Express 5*j - 4*j - 2*j + (2 + 2 - 2)*(0 + 0 - j) + 3 - 3*j - 3 + (10 - 140 - 18)*(2*j + 0 + 0) in the form m + k*j and give k. -302 Rearrange -4*w**2 - 19*w - 72*w**2 + 146*w**2 to m*w**2 + j + d*w and give m. 70 Express f + 0*f + 41607 - 43770 - 3*f**2 in the form s*f + z*f**2 + a and give z. -3 Express 1522 + 1520 + 4293*x - 3042 as o + c*x and give c. 4293 Express 69 + 70 + 9*w**2 + 339*w - 141 - 164*w in the form r*w + p*w**2 + q and give r. 175 Express 3 + 22 - 6 + 24743*d - 24668*d in the form r*d + j and give r. 75 Rearrange -239*m - 9*m**2 + 68*m**3 + 252*m + 10*m**2 to the form k*m + p*m**2 + n*m**3 + c and give n. 68 Express (-43 + 43 - 13*r)*(2524 - 2524 + 393*r) in the form i + f*r**2 + b*r and give f. -5109 Rearrange -2*j**3 - 14*j**2 + 14*j**2 + 152 to the form t*j**2 + u*j**3 + h*j + g and give g. 152 Rearrange (-1109*l - 9110*l - 4374*l - 1476*l - 838*l)*(3 - l - 1 + 0*l) to n*l + a + s*l**2 and give n. -33814 Rearrange (-q**3 - 3*q**3 + q**3)*(-5 + 2 + 1)*(-4 + 3 + 0) + 11838*q - 762*q**3 - 11838*q to the form u*q**3 + p*q**2 + s + o*q and give u. -768 Rearrange -198707*y + 865*y**2 + 198707*y + 4*y**3 to the form s*y**2 + q*y + i*y**3 + b and give i. 4 Rearrange (-175*m - 297 + 297)*(1 - 11 - m + 8) to the form c + y*m + l*m**2 and give y. 350 Rearrange (-2 + 3 - 3)*(2*o + 3*o - 3*o + (-2*o + 2*o - o)*(-11 - 35 + 136))*(-2*o - 2*o + 12*o) to n + l*o + a*o**2 and give a. 1408 Express -129 - u + 76*u**3 + 8*u**4 - 4*u**2 + 2*u**2 + 69 - 67*u**3 + 62 in the form g*u**3 + b*u**2 + o + j*u + f*u**4 and give o. 2 Rearrange (2*p - 2 + 2)*(19542 - 19542 - 1041*p + (1 - 1 - 2)*(0*p - 2*p + 0*p)) to the form u*p + x + k*p**2 and give k. -2074 Express -1254 + 2487 - 1232 + 46*g**2 in the form b*g**2 + v + o*g and give v. 1 Express 819*u**2 + 205*u**2 + 356*u**2 + 1033*u**2 as a*u**2 + y*u + k and give a. 2413 Rearrange p**2 + 75*p**3 + 3*p - 7 + 51 + 2 - 37*p**3 - 36*p**3 to v*p**3 + j*p**2 + z + x*p and give x. 3 Express (8 + 14 + 8)*(-1 + 0 - 1)*(-3 + 3 + 402*d - 1078*d - 599*d) in the form x + m*d and give m. 76500 Express 2247*o - 740*o - 743*o - 752*o + 200 in the form v + z*o and give z. 12 Rearrange (-4545 + 8396 + 1715)*(10*m - 10*m + 9*m**2) to t*m + u*m**2 + k and give u. 50094 Rearrange -254 + m**3 - 113*m + 23*m**2 + 251 + 113*m to the form b*m + s + p*m**2 + a*m**3 and give a. 1 Express (-c - c - c)*(20 + 18 - 15)*(-4 - 9 - 6) as x + u*c and give u. 1311 Express 2337 - 588 + 1052*b - 580 - 585 - 579 as m*b + p and give p. 5 Express -8*o**3 - 176504*o**4 + 4*o + 176491*o**4 + 11*o**3 - 6*o**2 in the form g*o**2 + b*o**4 + u + v*o**3 + s*o and give g. -6 Express 34 + 44*c + 50*c - 15*c in the form p + i*c and give p. 34 Rearrange -6*n + 15046*n**2 - 15044*n**2 + 7*n + 119*n**3 to the form i*n**2 + u*n + k*n**3 + r and give i. 2 Rearrange 217*y + 15*y**2 + 3 - 10*y**2 - 3 - 177*y to g + s*y + h*y**2 and give h. 5 Rearrange -17788*c + 1039*c - 7310*c to g*c + s and give g. -24059 Express (-581 - 816 - 432)*(-7*y + 10*y - 12*y) as z*y + x and give z. 16461 Rearrange (13 - 11 - 3)*(4 - 4 - d)*(-253 - 312 - 195) to the form v*d + k and give v. -760 Rearrange 25*i - 306 - 21*i - 209 + 856 + 832 to p*i + m and give p. 4 Rearrange 4 - 7*f**2 + 4*f - 4*f**2 - 18 - 2*f + 13*f**2 to r*f + c + l*f**2 and give r. 2 Express (6302 + 8827 - 4847)*(6*i + 0*i - 3*i) + (-2 + 6 - 2)*(-3 + 3 - i) as g*i + f and give g. 30844 Rearrange 42*x**3 - 683*x**3 - 7917284 + 2*x**2 - 2*x + 7917284 to r*x**2 + s*x**3 + c + l*x and give r. 2 Rearrange (-4*k - 5 + 5)*(-111*k**2 + 7*k**3 + 228*k**2 - 116*k**2) to m*k**4 + d*k + n*k**2 + t + y*k**3 and give m. -28 Rearrange 2*u**2 + u**4 + 11 + 2*u + 1 - 11 + 0 - 4*u**3 to l + x*u + y*u**4 + v*u**2 + z*u**3 and give l. 1 Express (5 - 4 + 5)*(-2 + 2 - 2*g) + 15*g + 260 + 27*g - 37*g as u + c*g and give c. -7 Rearrange 2*s + 111 + 567 + 1501 to v*s + l and give l. 2179 Rearrange o - 2*o - 25 + 37 + (-10*o + 37*o + 82*o)*(0 - 4 + 1) to q + g*o and give g. -328 Rearrange -2*j**3 - j**3 + j**3 + (1 + 2*j - 1)*(25*j**2 - 31*j**2 - 40*j**2) + 3*j**3 - 6*j**3 + j**3 to the form w*j**2 + a*j + q*j**3 + c and give q. -96 Express 3*n**2 - 36*n**3 + 15*n**4 - 51*n**3 - 47*n**3 - 2*n - 1 + 133*n**3 in the form i*n**3 + x + k*n + g*n**2 + r*n**4 and give g. 3 Express -116*v**2 + 23 - 20*v - 23 - 4*v**2 as z*v + r + y*v**2 and give z. -20 Express 2 + 8*y - 6*y + 6000*y**2 - 485*y**2 - 2180*y**2 + 8154*y**2 as h*y**2 + b*y + r and give r. 2 Express ((-5 + 3 + 1)*(2*s - 6 + 6) + 2 - s - 2 - 3*s - 2*s + 2*s)*(16 - 1046*s + 524*s + 46 + 506*s) in the form c*s**2 + b*s + v and give b. -372 Rearrange (3154 - 3119 + 0*v**2 + 23*v - 2*v**2)*(2 - 2*v + 2*v + 2*v) to the form u*v + y*v**3 + s + i*v**2 and give i. 42 Rearrange 101 + 61 - 345*j + 339*j - 33 to the form f*j + b and give b. 129 Express 2077*d - 5112*d + 10727*d in the form k + i*d and give i. 7692 Express (-3*p + 3*p + 2*p)*(0*p**2 + 2*p**2 + 0*p**2) + (-35*p - 32 + 52 - 23)*(-p**2 - 2*p**2 + 2*p**2) in the form o*p**2 + v*p + z*p**3 + j and give o. 3 Rearrange -160991*c - 5 - 8*c**2 + 160991*c to the form t*c + g + y*c**2 and give y. -8 Express (-6 - 3 + 3)*(5*o - 10 + 10) + (4 - 2 - 1)*(0*o + 11*o - 3*o) in the form z + d*o and give d. -22 Rearrange 11 - 111 - 584*a**4 + 2*a**2 + 99 to k*a + c*a**4 + u + p*a**3 + v*a**2 and give u. -1 Express 244 + 3586*p**2 - 5*p**3 - 3584*p**2 - 118 in the form g*p**2 + u + o*p**3 + b*p and give o. -5 Rearrange -6695*m**2 + 0 + 33572*m + 0 - 33572*m to the form i*m**2 + w + g*m and give i. -6695 Rearrange (-6*c - 6*c + 4*c)*(-1677*c**2 + 1333 - 668 - 665) to the form q + s*c**3 + x*c**2 + u*c and give s. 13416 Express (2 + 0 + 0)*(u - u - u)*(-482*u**2 - 1281*u**2 + 238*u**2) as w*u**3 + l + t*u**2 + v*u and give w. 3050 Rearrange (-6 + 4 - 3)*(3*k + 5*k - 322 - 6*k) to the form w + y*k and give w. 1610 Express (7250 + 9459 + 13388)*(r**2 - 2*r**2 + 2*r**2)*(-2*r + r - r) as j + a*r + y*r**3 + w*r**2 and give y. -60194 Rearrange 277 - 382 - 34*b**2 - 2*b + 291 to z*b + s + v*b**2 and give z. -2 Rearrange 2*s**2 - 2*s**2 + 2*s**2 + 238 + 2628*s**3 - 238 to i*s + w*s**3 + j*s**2 + h and give j. 2 Express 1067*l**2 - 664*l**4 - 2*l + 2 + 101*l**4 - 2*l**3 - 1069*l**2 as q*l**3 + h*l**2 + r*l + i*l**4 + w and give r. -2 Rearrange -55*d**2 + 3*d**3 - 27*d**2 + 77*d**2 + 40*d - 2*d**3 to q*d**3 + u + n*d**2 + b*d and give b. 40 Express 168 + 290 + 196614637*x - 196614638*x in the form m*x + y and give m. -1 Rearrange ((1 + 5 - 1)*(-28*j + 2 - 2) + (1 - 2 + 3)*(8 + 2*j - 8))*(-5*j + j - j) - 2*j**2 + 0*j**2 + j**2 to t + k*j + y*j**2 and give y. 679 Rearrange (0 - 1 + 2)*(3*p + p - 2*p)*(10119 + 38994 - 4996 - 4377 + 63020) to t*p + u and give t. 205520 Rearrange (2*t - 2*t + 2*t)*(6*t**3 - 2 + 2) - 1 - 552*t**4 + 2*t**3 + 61*t + 279*t**4 + 271*t**4 to the form j*t**4 + y*t + k*t**2 + b + v*t**3 and give v. 2 Express (266*h + 6*h + 119*h)*(19*h**2 + 0*h**2 + 2*h**2) in the form r*h + t*h**2 + l + v*h**3 and give v. 8211 Rearrange (105*q + 181*q - 79*q + 64*q)*(-q**2 - 2*q**3 - 7*q**2 + 4*q**3) to the form s*q**2 + y*q**3 + l*q**4 + j + u*q and give y. -2168 Express (3 - 1 + 14)*(22 - 54 - 114)*(0 + 2*b + 0) as q + j*b and give j. -4672 Rearrange 14*k - 13*k + 34*k**2 - 403 + 402 to s + t*k + r*k**2 and give t. 1 Express 6 + 2223*m**2 - 6 + 8924*m**2 in the form c*m**2 + q*m + f and give c. 11147 Rearrange 7*z - 3 + z**3 - 1 + 1567432*z**2 - 1567431*z**2 - 7*z**4 to the form d*z**3 + k*z**4 + n + y*z + w*z**2 and give w. 1 Express t**2 + 94 + 85 + 3*t**3 + t - 52 + 0*t in the form y*t + a*t**2 + i + u*t**3 and give u. 3 Rearrange 31*f**3 - 6*f + 11*f**3 + 14*f**2 - 38*f**3
{ "pile_set_name": "DM Mathematics" }
range 4 + 3 - 15*l + 12*l to s*l + v and give s. -3 Express (-3*u + 7*u**2 + 3*u + (-5*u + 3*u + 5*u)*(u + 0*u + u))*(1 + 4 - 4)*(2 - 8 + 2) in the form k*u**2 + b + j*u and give k. -52 Rearrange (g - 2*g**2 - g)*(-3*g - 2*g + 3*g)*(-7*g - 3*g - g) to i*g**2 + j + l*g**4 + f*g**3 + w*g and give l. -44 Express 23*i**2 - 62 + 63 + i + 0*i in the form v*i + h*i**2 + q and give h. 23 Express -5*m**4 + 2*m**2 + 2*m**4 - 3*m + 4*m as l*m**4 + f*m**2 + t*m + n*m**3 + j and give f. 2 Express -2*t - t + 0*t - 3*t - t + 2*t + (1 + 1 + 1)*(1 + 2*t - 1) as l + g*t and give g. 1 Rearrange (0 + 1 + 1)*(2*r - 4*r + 2 + 0*r) + (-5 + 5 - 4*r)*(-1 - 2 + 5) to the form q + m*r and give m. -12 Rearrange -4*q**2 + 4*q - 15*q**2 - 3*q to the form x*q**2 + i + l*q and give l. 1 Express 35 - 7*n - 35 in the form j*n + l and give j. -7 Express -2*h**2 - 2*h**4 + 0*h**4 + 5*h**2 + 2*h**3 - h**2 + h as i*h**4 + t*h**3 + p + g*h**2 + q*h and give g. 2 Rearrange 22 + 2*w**3 - 4*w - 20 + 2*w to the form n*w + a*w**2 + g + s*w**3 and give g. 2 Express (-3*b - 2*b**2 + 3*b)*(-1 + 1 - 2) + (3 - 3 + 1)*(2 + 2*b**2 - 2) in the form r + n*b**2 + c*b and give n. 6 Rearrange 27*r**3 - 3*r**2 - r**2 + 6*r**2 - r**2 to the form u*r**2 + p*r + n*r**3 + j and give u. 1 Rearrange (-2 + 2 + 3)*(5*m - 1 + 1 + (0 - 5 + 3)*(2*m - 3*m - m)) to the form y + z*m and give z. 27 Rearrange -6*i**2 + 3*i**2 - 5*i**2 + 4*i**2 to d*i + g + j*i**2 and give j. -4 Rearrange -2*s**2 - s**3 - 5*s + 0*s + 10*s - 2 + s**2 to the form k*s**2 + i*s**3 + h + v*s and give v. 5 Express (-4*y**2 + 5*y**3 + y**2 + 0*y**2)*(3 - 2 - 3) in the form f*y + n*y**2 + t*y**3 + w and give n. 6 Rearrange -9 + 4*f + f + 9 to the form b*f + s and give b. 5 Express 11*b - 21*b - 7*b - 2*b as d + m*b and give m. -19 Rearrange (-t**3 - 6 + 3*t**4 + 6)*((1 + 0 + 1)*(0 - 2 + 3) + 2 - 4 + 1) to the form l*t**4 + i*t + k*t**3 + r*t**2 + z and give l. 3 Rearrange -f**3 + 0*f + 2*f**4 + 29 - 32 + 2*f to the form b*f**2 + w*f**4 + l*f**3 + n*f + c and give w. 2 Express (0 + 1 - 2)*(-7*y - 2*y + 4*y) + (-26 + 26 - 11*y)*(1 + 0 + 0) as l + j*y and give j. -6 Express 2*b**4 + 2*b + 319*b**2 - 1 - 319*b**2 as k*b**3 + c*b + h*b**4 + m + u*b**2 and give h. 2 Express 4 + 5*i**2 - 7 + 5 in the form x + g*i**2 + u*i and give g. 5 Express -2*n + n**2 + 26 + 2*n**4 - n**3 + 2*n**3 - 26 as g*n**4 + l*n + a*n**2 + z*n**3 + y and give y. 0 Express (2*d + d + 0*d)*(1 - d - 1 + (3 - 2 - 3)*(-5*d - d + 3*d)) in the form q*d + t + v*d**2 and give v. 15 Express (-376*d**3 + 5 - 2 + 3*d + 381*d**3)*(4*d - 6*d + 4*d) in the form c*d**2 + w*d**3 + y*d + k*d**4 + l and give y. 6 Express -2*w**3 + 4*w + w - 8 - 5*w + 2*w**2 - w as u + h*w + s*w**3 + z*w**2 and give s. -2 Express 21 + 11*s**3 + 2*s**2 - 20 + 6*s**3 in the form j*s**2 + c*s + p + z*s**3 and give c. 0 Rearrange (-20*q - q + q)*(0*q + 0*q + 2*q**2) to g*q**3 + m*q + d + h*q**2 and give g. -40 Rearrange n**3 - 1 - 1 + 29*n**2 - 35*n**2 to v*n + b*n**2 + s*n**3 + d and give d. -2 Rearrange (-6*z**2 + 10*z**2 + 2*z**2 + 2)*(-5 + 7*z + 5) to the form j + k*z + v*z**3 + a*z**2 and give k. 14 Rearrange 8 + 10 - 29*m + 1 - 20 to the form h*m + s and give s. -1 Express (m - 7*m + 4*m)*(-121 - 8 - 10) in the form l + c*m and give c. 278 Rearrange (26 + 34 + 23)*(r**2 + r**2 - 5*r**2) to the form s*r**2 + l + c*r and give s. -249 Rearrange (x - x - x + (-2*x - 1 + 1)*(-1 - 1 + 1))*(8 - 8 + 9*x**3) to the form i*x + g + u*x**4 + h*x**2 + b*x**3 and give u. 9 Express (0 + 1 + 0)*(1 - 1 - u)*(-3 + 6 - 2)*(6*u**2 + 15*u**2 + 12*u**2) as n*u**2 + y*u + v*u**3 + t and give v. -33 Rearrange -19*c + 8*c + 17*c + 24*c to the form d + i*c and give i. 30 Rearrange (3 - 2 + 2)*(-5*j**3 + 3*j**2 + 6*j - 6*j) to the form x*j**3 + v*j + c + q*j**2 and give x. -15 Rearrange 4*l**2 - 13*l**2 + l**3 + 2 - 4 + 0*l**3 to w*l + z*l**3 + t + b*l**2 and give t. -2 Express (-2*u + u + 0*u)*(-7 - 4*u + 4 + 1) as n*u + s*u**2 + y and give s. 4 Rearrange (-4*i**2 + 5*i**2 + 0*i**2)*(8 - 2 - 2) + 2 - 2 - 5*i**2 to n*i + k*i**2 + z and give n. 0 Rearrange (-3 - 3 + 4)*(10 + 40*z - 38*z - 3)*(2 - z - 2) to u*z**2 + s*z + y and give s. 14 Rearrange (-4 + 4*f + 4)*(7*f - 5*f + 7*f) to the form y*f**2 + x + i*f and give y. 36 Express (183 - 45*g - 183)*(0 + 0 - g)*(1 + 4 - 3) - 1 - 3*g**2 + 1 as u + c*g**2 + w*g and give c. 87 Express (-24 + 25 - 23)*(o - 2*o + 0*o) as c*o + n and give c. 22 Express -94*c - 56*c + 16*c + 2*c in the form y*c + q and give y. -132 Rearrange 6 + i**3 + 2*i - 2*i**4 - 3*i + 2*i**2 + 8 - 7 to o*i**3 + y*i + m*i**2 + n + d*i**4 and give y. -1 Express 2*v**2 + 16*v**3 + 2 - 3*v - 47*v**3 + 30*v**3 in the form q*v**2 + w*v + n + b*v**3 and give n. 2 Rearrange 4*x**2 - 8*x - x**3 + 5*x - 3*x**2 to the form b*x**2 + d + u*x**3 + r*x and give u. -1 Rearrange l**2 + l**2 + 2*l**2 - 3*l - 2*l**2 to g + r*l**2 + i*l and give r. 2 Express -1 - 2*a**4 + 4*a**4 + 69*a - 61*a + 0 as g*a + b*a**4 + h + l*a**2 + z*a**3 and give h. -1 Rearrange -2*m**3 + m**3 - m**3 + (-m**2 + 4*m**2 - 2*m**2)*(-4*m + 4*m - 2*m) - 13*m**3 + 15 - 15 to the form z*m**2 + o*m**3 + y + p*m and give z. 0 Express w**2 + w**2 - 3*w**2 + (0*w + w + 0*w)*(-w + 0 + 0) + (-9*w + 2*w + 0*w)*(-w - 4 + 4) as t*w**2 + h*w + j and give t. 5 Rearrange -1 - 5 + 6 + 4*l to f + a*l and give a. 4 Rearrange (1 - 1 - 1 + (0 - 5 + 2)*(-2 + 1 + 0) + 6 - 1 - 4 + 1 - 1 - 1)*(5*v**2 - 4*v**2 - 23*v - 2*v**2) to the form h*v**2 + d*v + c and give h. -2 Express -m**2 + 2 - 2 + (2*m**2 + 3*m**2 - 3*m**2)*(0 - 1 - 1) + 8*m**2 - 4*m**2 - m**2 in the form q*m**2 + i + t*m and give q. -2 Express -4*o - o - 2*o + 2*o as b + v*o and give v. -5 Rearrange -v**2 + 2*v**3 + 2*v**2 - 2*v**4 + 0*v**2 to t*v**3 + k*v**4 + x*v + g*v**2 + d and give k. -2 Express -z - 6*z + z + z as p*z + h and give p. -5 Rearrange (2*z + z - 2*z)*(-2 + 4 - 1)*(-71*z - 22*z + 5*z) to the form i + x*z + l*z**2 and give l. -88 Express (5*d**2 - 2*d + 2*d)*(4*d - 11 + 11) + 2*d**2 + d**3 - 2*d**2 as y*d + n*d**2 + s + w*d**3 and give w. 21 Rearrange (-50*x - 10 - 10 + 48*x)*(-2*x + x - 2*x) to v + m*x**2 + d*x and give m. 6 Express (-3*g + 0*g + 6*g + (1 - 6*g - 1)*(-3 - 1 + 6))*(2*g**3 + 0*g + 0*g) as s*g**4 + v + z*g**2 + i*g + o*g**3 and give s. -18 Express 11 - 21*c - c**2 + 41*c - 12*c in the form j*c + o + y*c**2 and give o. 11 Express 532 + p**4 + 3*p**3 - 535 - p**3 in the form u*p**4 + y*p + c*p**2 + b + w*p**3 and give u. 1 Rearrange -4 - y - 7*y**4 + 4*y**3 + 2 - 100*y**2 + 97*y**2 to the form x*y + w*y**3 + z*y**2 + u + s*y**4 and give s. -7 Express -2*u**3 + 26*u + 22*u - 34*u + 51*u as p*u**3 + t + s*u + h*u**2 and give s. 65 Rearrange (-1 + 1 + 3)*((-2*w**2 - 3*w**2 + 7*w**2)*(0 - 3 + 5) - 2 - w**2 + 2) to p*w**2 + l*w + t and give p. 9 Express 2*p - 3*p - p - 13*p**2 + 0*p in the form n + z*p**2 + m*p and give z. -13 Express -23*p**2 + 2 + 5*p**4 + 6*p**2 - 4*p**4 + 14*p**2 + 3*p**3 in the form q*p + k*p**2 + t + g*p**4 + j*p**3 and give k. -3 Rearrange (3*u**2 - u**2 + u**2)*(-4*u + 3*u + 2*u) + (1 - 1 - u)*(5 - 5 - 2*u**2) to the form q*u**3 + m + t*u + g*u**2 and give q. 5 Rearrange (w - 4*w + w)*(-1 + 5 - 2) + 18*w - 11*w - 14*w to y*w + g and give y. -11 Rearrange (-7 + 5*p + 7)*(0*p + p + 2*p) + (-p - p + 3*p)*(-3*p + 2*p + 0*p) + 3*p**2 + p**2 - 2*p**2 to j + i*p**2 + s*p and give i. 16 Express 0 + 0 - 3*x + 28*x as h*x + q and give h. 25 Express -7*h**3 + 2*h**2 + 9*h**3 - 4*h**3 - 6 in the form l*h**2 + t + w*h + c*h**3 and give c. -2 Rearrange (2 - d - 2)*(-6*d - 6*d + 20*d) - 5*d**2 + 4*d**2 + 2*d**2 to the form b*d + t + r*d**2 and give r. -7 Rearrange (-5 + 2*h + 0*h + 31)*(5*h**2 - 4*h**2 + 0*h**2) to s*h**2 + a*h**3 + k*h + c and give s. 26 Express 12*u**4 + 10*u**3 - 16*u**4 + 6*u**4 + (4*u**2 + 3*u**2 - 5*u**2)*(1 - 1 - 2*u**2) as o*u**3 + s + p*u**4 + i*u**2 + t*u and give o. 10 Rearrange (-o + o + 3*o**2)*(2*o + 3*o + 33*o) to a*o**3 + g*o + k + j*o**2 and give a. 114 Express 15*n**3 - 5 + 7 - 3 as d*n**2 + p + x*n**3 + i*n and give x. 15 Rearrange -21*v + 18*v + 24*v to q + z*v and give z. 21 Rearrange 9*r - 6 - 9*r + 4 + 3*r**2 to w + n*r + v*r**2 and give v. 3 Rearrange (8*z**3 + z**3 + 3*z**3)*(1 + 0 - 2) to the form s*z + i + w*z**3 + y*z**2 and give i. 0 Rearr
{ "pile_set_name": "DM Mathematics" }
the z'th term of -1962, -3922, -5882? -1960*z - 2 What is the w'th term of 12, 58, 134, 240, 376? 15*w**2 + w - 4 What is the i'th term of -10, -16, -36, -76, -142, -240, -376? -i**3 - i**2 + 4*i - 12 What is the l'th term of -81, -172, -323, -534, -805, -1136, -1527? -30*l**2 - l - 50 What is the j'th term of -352, -346, -336, -322, -304, -282? 2*j**2 - 354 What is the s'th term of 53, 55, 57, 59, 61, 63? 2*s + 51 What is the a'th term of -141, -143, -157, -189, -245, -331, -453, -617? -a**3 + 5*a - 145 What is the t'th term of -41, 2, 125, 370, 779, 1394, 2257? 7*t**3 - 2*t**2 - 46 What is the a'th term of -9, 14, 63, 150, 287, 486, 759, 1118? 2*a**3 + a**2 + 6*a - 18 What is the h'th term of -194, -184, -176, -170, -166? -h**2 + 13*h - 206 What is the h'th term of -1007, -1014, -1023, -1034? -h**2 - 4*h - 1002 What is the j'th term of 789, 788, 787, 786, 785, 784? -j + 790 What is the k'th term of -20, -9, 10, 37, 72, 115, 166? 4*k**2 - k - 23 What is the n'th term of -11, 2, 23, 52, 89, 134, 187? 4*n**2 + n - 16 What is the l'th term of 174, 343, 510, 675, 838, 999? -l**2 + 172*l + 3 What is the m'th term of 6, -22, -76, -162, -286, -454, -672? -m**3 - 7*m**2 + 14 What is the t'th term of 41, 69, 81, 77, 57, 21, -31? -8*t**2 + 52*t - 3 What is the z'th term of 79, 198, 327, 472, 639, 834, 1063, 1332? z**3 - z**2 + 115*z - 36 What is the z'th term of 18, 14, -14, -78, -190, -362, -606, -934? -2*z**3 + 10*z + 10 What is the q'th term of -9, -4, -1, 0? -q**2 + 8*q - 16 What is the p'th term of 39, 78, 117, 156, 195, 234? 39*p What is the u'th term of 6, 13, 20, 27, 34? 7*u - 1 What is the v'th term of 27, 48, 67, 84, 99? -v**2 + 24*v + 4 What is the c'th term of -97, -187, -275, -361, -445, -527? c**2 - 93*c - 5 What is the t'th term of -30, -106, -232, -408, -634, -910, -1236? -25*t**2 - t - 4 What is the a'th term of 9, 37, 121, 291, 577, 1009, 1617, 2431? 5*a**3 - 2*a**2 - a + 7 What is the m'th term of 43, 61, 91, 133, 187? 6*m**2 + 37 What is the k'th term of 29, 25, 21? -4*k + 33 What is the z'th term of -21, -40, -57, -72? z**2 - 22*z What is the w'th term of -230, -228, -226? 2*w - 232 What is the d'th term of 515, 1062, 1607, 2150, 2691, 3230? -d**2 + 550*d - 34 What is the x'th term of 5635, 5636, 5637, 5638, 5639? x + 5634 What is the x'th term of -342, -686, -1030, -1374? -344*x + 2 What is the j'th term of 291, 292, 305, 336, 391, 476, 597? j**3 - 6*j + 296 What is the p'th term of -11, -16, -19, -20, -19, -16, -11? p**2 - 8*p - 4 What is the q'th term of -2, -13, -36, -77, -142? -q**3 - 4*q + 3 What is the m'th term of -83, -114, -149, -188, -231, -278, -329? -2*m**2 - 25*m - 56 What is the h'th term of -21, -12, -1, 12, 27, 44? h**2 + 6*h - 28 What is the u'th term of -16, -135, -334, -613, -972? -40*u**2 + u + 23 What is the v'th term of 3, -85, -229, -429, -685, -997? -28*v**2 - 4*v + 35 What is the w'th term of 22, 95, 216, 385? 24*w**2 + w - 3 What is the w'th term of 255, 480, 671, 828? -17*w**2 + 276*w - 4 What is the a'th term of -24, -74, -122, -168, -212? a**2 - 53*a + 28 What is the n'th term of -501, -499, -495, -489, -481? n**2 - n - 501 What is the t'th term of 144, 108, 56, -18, -120, -256, -432? -t**3 - 2*t**2 - 23*t + 170 What is the a'th term of 172, 173, 182, 205, 248, 317? a**3 - 2*a**2 + 173 What is the u'th term of 530, 537, 564, 623, 726, 885, 1112, 1419? 2*u**3 - 2*u**2 - u + 531 What is the o'th term of 13, 43, 89, 151, 229, 323? 8*o**2 + 6*o - 1 What is the t'th term of -98, -197, -294, -389, -482? t**2 - 102*t + 3 What is the b'th term of 17, 15, 17, 23, 33? 2*b**2 - 8*b + 23 What is the t'th term of 32, 37, 54, 89, 148, 237, 362, 529? t**3 - 2*t + 33 What is the g'th term of 27, 64, 117, 192, 295, 432, 609, 832? g**3 + 2*g**2 + 24*g What is the f'th term of -48, -52, -56, -60, -64? -4*f - 44 What is the k'th term of -7506, -7518, -7518, -7500, -7458, -7386, -7278, -7128? k**3 - 19*k - 7488 What is the a'th term of -1212, -2423, -3634? -1211*a - 1 What is the x'th term of 21, 48, 83, 120, 153? -x**3 + 10*x**2 + 4*x + 8 What is the b'th term of 1143, 2280, 3419, 4560, 5703? b**2 + 1134*b + 8 What is the k'th term of 1147, 2317, 3499, 4699, 5923, 7177, 8467? k**3 + 1163*k - 17 What is the i'th term of -10, -25, -48, -79? -4*i**2 - 3*i - 3 What is the n'th term of 26, 28, 28, 26? -n**2 + 5*n + 22 What is the h'th term of 4257, 4247, 4239, 4233, 4229, 4227, 4227? h**2 - 13*h + 4269 What is the c'th term of -35, -43, -65, -107, -175, -275? -c**3 - c**2 + 2*c - 35 What is the u'th term of 207, 414, 621, 828? 207*u What is the u'th term of 40, 63, 86, 109? 23*u + 17 What is the w'th term of -19, -34, -53, -76, -103, -134, -169? -2*w**2 - 9*w - 8 What is the a'th term of -4, -15, -26, -37, -48, -59? -11*a + 7 What is the r'th term of 222, 139, 56, -27, -110? -83*r + 305 What is the q'th term of -3, -17, -41, -75, -119? -5*q**2 + q + 1 What is the x'th term of 48, 54, 60, 66? 6*x + 42 What is the x'th term of -5, -47, -135, -293, -545? -4*x**3 + x**2 - 17*x + 15 What is the t'th term of 66, 113, 194, 315, 482? t**3 + 11*t**2 + 7*t + 47 What is the x'th term of 117, 238, 361, 486? x**2 + 118*x - 2 What is the i'th term of 100, 106, 116, 130, 148? 2*i**2 + 98 What is the f'th term of -41, -90, -127, -146, -141, -106, -35, 78? f**3 - 56*f + 14 What is the k'th term of -1580, -1591, -1604, -1619, -1636, -1655? -k**2 - 8*k - 1571 What is the a'th term of -11952, -11953, -11954, -11955? -a - 11951 What is the o'th term of -1, 61, 127, 197, 271? 2*o**2 + 56*o - 59 What is the q'th term of 347, 1404, 3165, 5630? 352*q**2 + q - 6 What is the u'th term of -58, -63, -70, -79, -90? -u**2 - 2*u - 55 What is the n'th term of -102, -88, -64, -30? 5*n**2 - n - 106 What is the b'th term of 136, 1000, 3340, 7894, 15400? 123*b**3 + 3*b + 10 What is the s'th term of -2098, -2099, -2100, -2101, -2102, -2103? -s - 2097 What is the o'th term of 153, 233, 317, 405, 497? 2*o**2 + 74*o + 77 What is the l'th term of 96, 198, 300, 402? 102*l - 6 What is the r'th term of -15, -103, -309, -681, -1267, -2115, -3273? -8*r**3 - 11*r**2 + r + 3 What is the h'th term of -4108, -16399, -36878, -65539, -102376, -147383? h**3 - 4100*h**2 + 2*h - 11 What is the o'th term of 38, 42, 46, 50, 54? 4*o + 34 What is the p'th term of 132, 123, 120, 129, 156, 207, 288? p**3 - 3*p**2 - 7*p + 141 What is the i'th term of 29, 163, 513, 1187, 2293, 3939? 18*i**3 + 8*i + 3 What is the h'th term of -2, -24, -76, -170, -318, -532, -824? -2*h**3 - 3*h**2 + h + 2 What is the k'th term of -21, -47, -89, -153, -245, -371, -537? -k**3 - 2*k**2 - 13*k - 5 What is the y'th term of 758, 747, 722, 677, 606? -y**3 - y**2 - y + 761 What is the z'th term of -13, -2, 11, 26, 43? z**2 + 8*z - 22 What is the b'th term of 674, 675, 676, 677, 678? b + 673 What is the q'th term of -2577, -2579, -2581, -2583, -2585? -2*q - 2575 What is the k'th term of 5, 88, 227, 422, 673, 980, 1343? 28*k**2 - k - 22 What is the p'th term of 611, 589, 555, 503, 427, 321? -p**3 - 15*p + 627 What is the o'th term of -265, -1279, -2975, -5359, -8437, -12215? -o**3 - 335*o**2 - 2*o + 73 What is the o'th term of 4, 3, 2, 1? -o + 5 What is the a'th term of 428, 1708, 3840, 6824, 10660? 426*a**2 + 2*a What is the j'th term of 37456, 74911, 112366? 37455*j + 1 What is the j'th term of 6, 22, 70, 168, 334, 586, 942? 3*j**3 - 2*j**2 + j + 4 What is the u'th term of 2312, 2313, 2316, 2321, 2328? u**2 - 2*u + 2313 What is the g'th term of 756, 756, 760, 768, 780, 796? 2*g**2 - 6*g + 760 What is the y'th term of 58, 117, 176, 235, 294, 353? 59*y - 1 What is the i'th term of -664, -666, -668? -2*i - 662 What is the n'th term of -142, -99, -26, 77, 210, 373, 566? 15*n**2 - 2*n - 155 What is the u'th term of 14, 37, 72, 125, 202, 309, 452? u**3 + 16*u - 3 What is the q'th term of -43, -89, -135? -46*q + 3 What is the x'th term of -56, -113, -170, -227, -284? -57*x + 1 What is the p'th term of -510, -974, -1438, -1902? -464*p - 46 What is the c'th term of -16, -102, -260, -502, -840? -2*c**3 - 24*c**2 + 10 What is the g'th term of -11, 5, 25, 49, 77, 109, 145? 2*g**2 + 10*g - 23 What is the s'th term of 109, 75, 39, 1, -39, -81? -s**2 - 31*s + 141 What is the l'th term of -212, -265, -368, -527, -748, -1037, -
{ "pile_set_name": "DM Mathematics" }
/20 - a**2/2 + 2*a - 16998. Let t(v) = -3*v**3 + 4. Calculate g*p(c) + 3*t(c). 3*c**3 Let s(l) = -3*l + 5. Let q(y) = 14*y + 74. Calculate -q(b) - 3*s(b). -5*b - 89 Let n(d) = 14*d**3 + 2*d**2 - 3*d - 3. Let f(c) = -13*c**3 - 2*c**2 + 4*c + 4. Suppose 14*b - 66 = -24. What is b*f(x) + 4*n(x)? 17*x**3 + 2*x**2 Let z(w) = 5*w**3 - 1636*w**2 + 9*w. Let a(q) = -2*q**3 - 3*q. Determine 3*a(p) + z(p). -p**3 - 1636*p**2 Let q(d) = 21*d. Suppose 4*c = 3*z - 57 + 68, 6*c - 15 = 3*z. Let f(k) = -1. Determine z*q(a) + f(a). -21*a - 1 Let q(y) = 1451*y**3 + 11*y - 7. Let f(x) = -727*x**3 - 5*x + 3. What is 7*f(g) + 3*q(g)? -736*g**3 - 2*g Let r(p) = 2*p**2 - 6*p - 2. Suppose -52*w + 39*w = -26. Let l(j) = -4*j + 5*j - 62*j**2 + 61*j**w. What is 6*l(k) + r(k)? -4*k**2 - 2 Suppose 6*m + 94 = 1054. Let o(s) = s - 81 + m + s**3 - 80. Let p(z) = -5*z**3 - 2*z**2 - 6*z + 4. Determine -6*o(f) - p(f). -f**3 + 2*f**2 + 2 Let j(o) = o**2 + 1. Let y(m) = -6*m**2 - 2*m - 8. Let f(c) = -c**2 - c - 3. Let h(b) = 6*f(b) - 2*y(b). Give h(l) - j(l). 5*l**2 - 2*l - 3 Let z(r) = 7*r**2 + 2*r - 2534. Let n(u) = 22*u**2 + 7*u - 7681. Give 2*n(v) - 7*z(v). -5*v**2 + 2376 Let j(b) = 11*b**3 - 7*b**2 - 36*b - 5. Let l(q) = 4*q**2 + 21*q - 18. Let g be l(1). Let f(u) = 5*u**3 - 3*u**2 - 18*u - 2. Calculate g*f(o) - 3*j(o). 2*o**3 - 18*o + 1 Let u(m) = 8*m**3 + 6*m**2 - 26*m + 40. Let f(h) = -h**2 + 4*h + 1. Determine -6*f(p) - u(p). -8*p**3 + 2*p - 46 Let v(x) be the first derivative of -x**3/2 + 3*x**2/2 + 34*x - 66. Let u(l) be the first derivative of v(l). Let f(j) = -2*j + 3. Calculate 4*f(c) - 3*u(c). c + 3 Let b(q) = 2108*q + 1. Let c(j) = -6*j. Calculate b(l) + 4*c(l). 2084*l + 1 Let p be ((-4)/16)/((-90)/(-720)). Let o(n) = n**3. Let d(x) = -10*x**3 + 1. Calculate p*d(h) - 18*o(h). 2*h**3 - 2 Suppose 0 = -33*k + 47 + 52. Let g(c) = c. Let z(i) = 4*i**2 - 10*i - 160 + 160. Give k*z(y) + 30*g(y). 12*y**2 Let r be (2/(-6) - (-28)/(-6)) + 56. Suppose -r*z = -49*z - 6. Let f(a) = 4*a + 7. Let x(p) = 7 + 2*p - 2 - 1. Calculate z*f(u) - 5*x(u). 2*u + 1 Let l(s) = 2*s**2 - 5*s + 662. Let w(v) = -v**2 + 2*v - 333. Determine 4*l(g) + 10*w(g). -2*g**2 - 682 Let b(a) be the third derivative of -a**6/40 + a**5/10 - a**4/4 + 5*a**3/6 + a**2 - 209*a. Let d(u) = 5*u**3 - 11*u**2 + 11*u - 9. Determine -11*b(q) - 6*d(q). 3*q**3 - 1 Let j(m) = -6*m + 6. Let l(i) = 12*i - 13. Let t(h) = h**3 + 53*h**2 + 2*h + 103. Let g be t(-53). Calculate g*l(o) - 7*j(o). 6*o - 3 Let z(b) = -100*b + 21. Let j(q) = q**2 - 208*q + 41. What is 2*j(d) - 5*z(d)? 2*d**2 + 84*d - 23 Let m(h) = -h**2 + 1. Suppose -u + 0 = 3. Let f(k) = -3 - 6*k**2 - 6 + 4*k**2 + 0*k**2 - 7 + 21. Calculate u*m(p) + f(p). p**2 + 2 Let v be (2/8*-1)/(715/52 - 14). Let f(z) = -2*z - 6. Let x(t) = t**2 - t + 1. What is v*f(i) - 2*x(i)? -2*i**2 - 8 Let p(v) = v + 27 - 96 + 21 + 24 + 25. Let k(f) = -3*f**3 - 2*f**2 + 3*f + 11. Calculate k(o) - 3*p(o). -3*o**3 - 2*o**2 + 8 Let v(w) = 88*w**2 - 8*w - 433. Let c(u) = -23*u**2 + 2*u + 108. Give -23*c(s) - 6*v(s). s**2 + 2*s + 114 Let g(s) = s - 1. Let d = 1844 + -1848. Let y(q) = 12*q**2 + q - 1. Calculate d*y(n) + 4*g(n). -48*n**2 Let l(u) = 12. Let z(a) = -538*a**2 - 109. Give 18*l(x) + 2*z(x). -1076*x**2 - 2 Let j(g) = -2*g**2 - 2*g + 1. Let v(o) = 2*o**2 - 30*o - 151. What is 2*j(b) + v(b)? -2*b**2 - 34*b - 149 Let g(d) = -d**2 - d + 1. Let c = 37 - 21. Let r = -8 + c. Let h(z) = z - 2. Let q be h(r). Let b(v) = 3*v**2 + 2*v - 2. What is q*g(n) + 3*b(n)? 3*n**2 Let w(l) = -189*l - 7. Let b(g) = -g + 3. Let n(r) = -7*b(r) + w(r). Let t(q) = -33*q - 5. What is 5*n(k) - 28*t(k)? 14*k Let m(v) = 20*v + 4. Let g(d) = -40 - 87 - 7*d + 209 - 83. Calculate -17*g(p) - 6*m(p). -p - 7 Let a(w) = 2*w**2 + 4*w - 1. Suppose 2*q = 3*v, 5*q - v + 2*v = 51. Let h(r) = 7*r**2 + 17*r - 5. What is q*a(b) - 2*h(b)? 4*b**2 + 2*b + 1 Let f(c) = -6*c**2 + 116*c - 1196. Let s(h) = -8*h**2 + 151*h - 1595. Determine -13*f(m) + 10*s(m). -2*m**2 + 2*m - 402 Let f(b) = -15*b + 229. Let a(h) = 7*h - 108. What is -13*a(x) - 6*f(x)? -x + 30 Let r(s) = 332*s - 15. Let g(f) = -112*f + 5. Calculate -7*g(k) - 2*r(k). 120*k - 5 Let g(n) = -83*n**2 - 5*n + 5. Let b(y) = -208*y**2 - 13*y + 13. Let s(q) = -9*q**2 + 25*q - 7. Let i be s(3). Calculate i*g(w) + 5*b(w). 39*w**2 Let p(d) = 8*d**2 - 6*d + 67. Let j(f) = 3*f**2 - 2*f + 22. What is 13*j(k) - 4*p(k)? 7*k**2 - 2*k + 18 Let n(x) = 3*x - 9*x + 7*x - 1. Let m(a) = 3*a**2 - 11*a + a + 8 - 5*a + 5*a. Let r(g) = -2*m(g) - 18*n(g). Let f(u) = -u**2. Determine 5*f(w) - r(w). w**2 - 2*w - 2 Let r(u) = -u**2. Let f(o) = -7 - 99*o**2 - 8 + 92*o**2 + 5. Let v(z) = -f(z) + 5*r(z). Let a(b) = b**2 + 4. What is -12*a(c) + 5*v(c)? -2*c**2 + 2 Let c(g) = 2675*g**2 - 2*g. Let l(h) = -644667*h**2 + 483*h. Determine 483*c(a) + 2*l(a). 2691*a**2 Let r(m) = 27*m**3 - 4*m**2 + 8*m + 6. Let n(o) = 2*o + 2. Give 5*n(x) - r(x). -27*x**3 + 4*x**2 + 2*x + 4 Let c be (7 - 5)*(-3)/6. Let b(x) = -x**3 - x**2 + 1. Let z(k) = 24*k + 3*k**2 - 23*k - 2 + 1 + 2*k**3. Determine c*z(f) - 3*b(f). f**3 - f - 2 Let c(i) be the third derivative of -7*i**6/120 + 3*i**5/20 + 5*i**4/24 + 2*i**3/3 - 4852*i**2. Let f(g) = -g**3 + g + 1. Determine -c(a) + 5*f(a). 2*a**3 - 9*a**2 + 1 Let t(j) = -3*j**2 + 2*j + 1. Suppose 17*o = 135*o + 7*o + 375. Let a(q) = -q**2. What is o*a(y) - t(y)? 6*y**2 - 2*y - 1 Let j(t) = -9*t**2 - 12*t - 7. Let o(m) = -8*m**2 - 11*m - 6. Let n = -217 - -221. Suppose 70 = 14*i - n*i. What is i*o(a) - 6*j(a)? -2*a**2 - 5*a Let n(w) = -18*w + 753. Let m(x) = 12*x - 504. Calculate -8*m(t) - 5*n(t). -6*t + 267 Let j(f) = f**2 - f - 1. Suppose -4*r + 3 = 19. Let k = 74 - 71. Let d(h) = -5 + k - 13*h**2 - 12*h**2 - 2*h + 30*h**2. What is r*j(t) + d(t)? t**2 + 2*t + 2 Let i(f) = -11*f - 125. Let p(z) = -3*z + 6. What is i(w) - 2*p(w)? -5*w - 137 Let y(j) = 18*j**3 + 3*j**2 + 22*j + 15. Let i(g) = -5*g**3 - g**2 + g - 2. What is -3*i(h) - y(h)? -3*h**3 - 25*h - 9 Let x(i) = 16 - 6 - 9 - 9 + 7. Let y(f) = -f**3 - 6*f**2 - 7*f - 1. Let a be y(-5). Let r(z) = z - 2. Give a*x(k) - 4*r(k). -4*k - 1 Let z(y) = -46*y**3 - 6*y**2 - 3*y - 20. Let f(q) = 138*q**3 + 16*q**2 + 8*q + 62. What is -3*f(l) - 8*z(l)? -46*l**3 - 26 Let n(y) be the third derivative of -y**5/60 - y**4/6 + 11*y**3/6 - 2780*y**2. Let z(k) = -k**2 - 3*k + 11. Give 5*n(v) - 6*z(v). v**2 - 2*v - 11 Let y(s) = s**2. Let h be 24*((-3)/(-6) + 0). Suppose 2*t + h = 4*t. Suppose -7*w + 8*w = -t. Let z(d) = -4*d**2 - d - 2. Calculate w*y(i) - z(i). -2*i**2 + i + 2 Let u(w) = w**2 + 12*w - 2. Let z = -4657 + 4652. Let d(n) = 2*n**2 + 24*n - 4. What is z*u(m) + 3*d(m)? m**2 + 12*m - 2 Let l(i) = -6*i - 7. Suppose 134*u = 137*u - 9, -3*v + 5*u - 9 = 0. Let n(c) = -5*c - 7. Determine v*l(p) - 3*n(p). 3*p + 7 Let a(t) = 7802*t + 5*t**2 + t**2 - 1 - 3*t**2 - 7794*t. Let g(x) = -2*x**2 - 4*x + 1. Calculate 3*a(d) + 5*g(d). -d**2 + 4*d + 2 Let g(k) = 5309*k + 246. Let w(a) = -5311*a - 197. Give -4*g(c) - 5*w(c). 5319*c + 1 Let v(o) = -12*o**2 + 5*o + 5. Let t(k) = 119*k**2 - 49*k - 49. Let l be (-1 + 3 + -3)/((-1)/(-3)). Let a be 6/5*-41 - l/15. Give a*v(s) - 5*t(s). -7*s**2 Let z(w) be the second derivative of 49*w**5/20 + w**4/6 + w**3/3 + 7751*w. Let b(i) = 49*i**3 + 3*i**2 + 3*i. What is -2*b(a) + 3*z(a)? 49*a**3 Let u(n) = -11*n**2 + 4*n - 1. Let t(r) = 3*r**2 + 17*r - 1. Let g(c) = 2*t(c) + u(c). Let i(f) = -14*f**2 + 115*f - 8. What is -11*g(k) + 4*i(k)? -k**2 + 42*k + 1 Let f(n) = 363*n - 362*n + 0 + 0. Let d(t) = t**2 - 2*t - 173. Let g be d(14). Let u(l) = -2*l + 1. Calculate g*f(q) - 2*u(q). -q - 2 Let z(g) = g. Let b be 9/27 - (-16)/(-12). Let l(n) = -16*n - 7. Let j(s) = 34*s + 15. Let r(f) = -6*j(f) - 13*l(f). Calculate b*r(u) + 5*z(u). u - 1 Let j(w) = -17183*w**3 - 15*w - 15. Let b(z) = -326469*z**3 - 286*z - 286. Calculate -15*b(f) + 286*j(f). -17303*f**3 Suppose -5*k + a + 31 = 0, -2*a - 125 + 126 = -k. Let z(g) = 9*g**2 + 7*g + 8. Let m(x) = -6*x**2 - 5*x - 5. Determine k*m(o) + 5*z(o). 3*o**2 + 5 Let c(g) = -25*g**2 + 7*g + 112. Let m(r) = 30*r**2 - 9*r - 113. Calculate 5*c(i) + 4*m(i). -5*i**2 - i + 108 Let h(t) = 156*t**2 + 8*t + 160. Let n(u) = -104*u**2 - 5*u - 114. What is 5*h(c) + 7*n(c)? 52*c**2 + 5*c + 2 Suppose 5*r = 11*r
{ "pile_set_name": "DM Mathematics" }
g, -36*g + 35*g = 0. Which is the closest to -1/8? (a) -1/2 (b) w (c) l b Let y = 996.3 + -996. Which is the nearest to 4/3? (a) y (b) -5 (c) 1/4 a Let j = 840 - 530. Let q = 2483/8 - j. Which is the nearest to q? (a) -1/5 (b) -1 (c) -0.5 a Let m = -4285/11 - -389. Let k = m - -13/44. What is the closest to k in -0.4, 0, -2/7? -2/7 Let u = -151 - -150.665. Let b = 0.065 - u. What is the closest to -7 in b, 5, 3? b Let l = 0.297 + 0.203. Which is the closest to 0? (a) l (b) 1/6 (c) -4/31 c Let g = 0.71 + -0.71. Which is the nearest to g? (a) 0.6 (b) 7 (c) 2/9 c Let j = 0.92 - 2.92. Which is the closest to 2? (a) j (b) 1 (c) -5 (d) -1/11 b Let t be (-1)/(-5)*(-90)/(-54). Let m(n) = -n + 12. Let g be m(4). Which is the closest to g? (a) t (b) 2/7 (c) -0.2 a Let p = 10 - -2. Let o = -19 - p. Let d = -30.9 - o. Which is the closest to d? (a) -1/2 (b) -1/3 (c) -0.02 c Let l = 47 + 37. Let x = -85 + l. Which is the closest to x? (a) 4 (b) 3/11 (c) 0.2 c Suppose 74*d - 70*d - 12 = 0. What is the closest to -0.2 in d, -1/5, 1/22? -1/5 Let d = 0.98 - 1.88. Let m = 3.9 + d. Which is the nearest to m? (a) -2/7 (b) 0.3 (c) 5 c Let s = -0.08 - -0.18. Let y = -13/22 - -87/110. What is the closest to y in -0.4, -0.1, s? s Let r = 664 + -660.23. Let v = 0.23 + r. Let i be 2/(-7)*(-5)/(-10). Which is the nearest to 2? (a) v (b) 0.2 (c) i b Let i be 1*(3 + 66/(-21)). Suppose 8*g + 62 = 70. What is the nearest to g in 1, -4, i? 1 Let k = 24 + -15. Let h be (-6)/92*12/k. Which is the nearest to 1/2? (a) -2/7 (b) h (c) 2 b Let v = -504 - -535.7. Let a = 32 - v. What is the closest to 2 in a, 3, 0.4? 3 Let l = -256.1 - -256. Let u = 32 - 32.24. Which is the nearest to l? (a) u (b) 0.5 (c) 0.2 a Let w be (-8)/58 + 0/(-4). Let k = w + 49/145. Let g = -0.3 - -0.2. Which is the closest to 0.1? (a) g (b) k (c) -3 b Let d = 0.0694 - -0.0306. Which is the closest to d? (a) 3 (b) 24 (c) 0.1 c Let q be (2 + -1)*(-5 - 10). Let h be 21 + -20 - q/(-13). What is the nearest to 0.1 in h, 1, 0.5? h Let u = -473/5 - -951/10. Let m = -0.08 - 0.12. Which is the closest to m? (a) u (b) -4/9 (c) -5 b Suppose 2*k + 7 + 7 = 3*p, -5*p = -k - 28. What is the closest to 2/3 in 4, p, 0.3, 1? 1 Let r = -27 + 26.7. Suppose -5*c + 5 = -10. Suppose -2*j - 5*s + 13 = 0, c*j - s - 8 = 3*s. What is the nearest to -2 in j, -0.01, r? r Let s = -1.92 - -1. Let o = 1.12 + s. Let w = 3 + -4. Which is the closest to o? (a) w (b) -0.2 (c) -0.5 b Let n be 1/10*-2 - 251/(-5). Let l be (-5)/(-6)*(-4)/n*2. Which is the closest to 0? (a) -0.5 (b) 3/2 (c) l c Suppose v - 6*v = 2*l, 3*l = 0. Let o be 1*(-2 + 0 + -2 + v). Which is the closest to o? (a) 2 (b) -2 (c) -2/3 b Let u be 3/2*4 - 43/7. Which is the closest to -4/3? (a) u (b) -5 (c) 4 (d) 0 a Let l = -5.1 + -0.9. Let p = l + 5.5. What is the closest to -0.2 in p, -0.2, 1/5? -0.2 Let m = 565/72 - 61/8. What is the closest to 0.05 in 3/2, 14, m? m Let y = -30.44 + 30. Let j = y - 1.56. Which is the nearest to 1? (a) 8 (b) j (c) 2 c Let l be 0/1 + (-6)/(-14). What is the nearest to -1 in l, -6, -3? l Let j(z) = -z**3 + 2*z**2 + 4*z - 2. Let h be j(3). Suppose 0 = -q + 2*o + 8, 5*o - 5 = -4*q + 4*o. Which is the nearest to 2/3? (a) 4 (b) h (c) q b Let f be 6/45 - 184/30. Let p be (f/(-15))/((-32)/(-10)). Let t(q) = q - 5. Let d be t(6). Which is the nearest to -0.1? (a) 0.5 (b) p (c) d b Let v = -5 - -4.94. Let f = 1562.5 - 1563. Which is the closest to -1? (a) -1/3 (b) v (c) f c Suppose -135 = -14*d + 5*d. Suppose -5*y + 5 = -d. Which is the closest to 0? (a) 0.5 (b) 5 (c) y a Let q = 18/13 + -409/286. Let u = q + 27/110. Let l = -0.9 + 0.6. Which is the closest to 0? (a) -1 (b) l (c) u c Let s = 1 + 0. Let x be (-21)/(-18)*576/(-896). Which is the nearest to s? (a) 2/21 (b) x (c) 0.06 a Let q be (126/33)/14 + (-174)/33. Which is the closest to -1/2? (a) 0.5 (b) q (c) -2 a Let r be (-3)/4 - (-2)/4. Let q be 2 + 3/3 - -8. Suppose -4*v - 15 = t, 3*v + q = v + 3*t. What is the nearest to 0 in v, r, 0.1? 0.1 Suppose 0 = -k + 3*k - 5*x - 27, -x = 5*k - 27. Let z = 17 - 14. What is the closest to 1/2 in -0.2, k, z? -0.2 Let x = -15.5 + 15.3. Which is the closest to -0.1? (a) -6/7 (b) 1/2 (c) x c Suppose 2*q - 4 - 2 = 0. Let h be 2/3 + 320/(-390). What is the nearest to -0.1 in 1/3, q, h? h Let k = -181/450 + 9/50. Let x = -0.4 - -0.5. Let p = 0.3 + -0.5. Which is the closest to p? (a) k (b) -1 (c) x a Let p be 2/((-70)/(-20) + -3). Let m = 246337/85 - 2898. Let n = -2/17 - m. Which is the closest to n? (a) -2/11 (b) p (c) 0.3 a Let h = -111 + 111.047. Let s = 1.047 - h. Let p = -3 + 3.2. Which is the closest to s? (a) 0 (b) p (c) 0.5 c Let s = -380.8 + 381. Which is the nearest to s? (a) 4 (b) -0.5 (c) 0.01 (d) -0.04 c Let m = 2 + 0. Let n = 19715.7 - 19716. What is the closest to -0.06 in n, m, -2/9? -2/9 Suppose 5*r + 2*c + 5 = 2*r, c = -1. Let d = -14.4 - -18. Let z = -0.6 + d. What is the closest to r in z, 2/11, -3? 2/11 Let f = 1/534 - -529/2670. Which is the nearest to 2/69? (a) 0.4 (b) 2/3 (c) f c Let k(w) = w**2 - 5*w - 5. Let i be k(6). Let q be (-11)/22*(0 - 0). Let f = -17 - -50/3. Which is the closest to f? (a) q (b) i (c) 4 a Let y be (12*(-10)/40)/4. Let i = -0.8 + 0.3. Which is the nearest to 1? (a) i (b) y (c) -3 a Let h = 45/76 + -16/19. Which is the closest to -0.007? (a) 1/12 (b) -2/13 (c) h a Let j be -23 - -22 - (-14)/12. Let o = 737/321 + 4/107. Which is the nearest to -1? (a) 1 (b) o (c) j c Let h = 702 - 707. What is the nearest to h in 0.04, 3, 0.02? 0.02 Let z be 84/(-14) + 6 + -1. What is the nearest to 2 in 1/193, z, 0.5? 0.5 Let g = -0.7503 - 0.2497. Let p = 1 + 0. Let i be 0 + 1/(p/1). What is the closest to 1 in -0.2, g, i? i Let x = -0.212 - 57.188. Let z = -57 - x. Which is the nearest to 0.3? (a) z (b) 3 (c) 1/2 a Let y = 22.6 - 23. Let x be ((-2)/2)/(-3) - 1. Let q = 1.036 - 0.036. What is the closest to q in y, x, 0.1? 0.1 Let u = 607.028 - 612. Let o = -0.028 + u. Which is the nearest to -2/5? (a) o (b) 5 (c) -0.4 c Suppose -21 + 27 = 2*f. Which is the closest to 1/2? (a) f (b) 25 (c) -2/7 c Let i = -1.2 + 5.2. Which is the closest to -1? (a) 109 (b) 0.4 (c) i b Let m = -2.19 + 2.29. Which is the closest to m? (a) -0.1 (b) -2/7 (c) 40 a Let w = 5 + -6. Let k = 0.55 + -0.1. Let m = 0.45 - k. What is the closest to w in -5, -1, m? -1 Let n = -152 - -152.2. What is the nearest to 1/4 in n, -0.1, 3, -4/9? n Let x be (-3)/(-4)*1/(-3). Let f = 24/55 + -2/55. Let g = -16.5 - -16.8. Which is the nearest to f? (a) g (b) x (c) -2 a Suppose -4*i + 12 = -4*d, -i = -4*d - 3 - 0. Suppose q + 3*u + 15 = d, -u = -2*q + 4*u + 3. Which is the nearest to -0.1? (a) q (b) 0.5 (c) 0.2 c Let u be (-20)/(-30)*36/(-32). What is the closest to 3 in -1/9, 3/4, u, -0.3? 3/4 Let s = 8/3 + -7/3. Which is the nearest to 0.1? (a) -0.4 (b) -0.003 (c) s b Let z = 192 - 191.98. Which is the closest to z? (a) 2/11 (b) -1/7 (c) 3 a Let p = -6.02 + 6.52. Which is the nearest to -1/3? (a) -9 (b) p (c) 9 b Let u(a) = a**3 + 8*a**2 + a - 16. Let l be u(-7). Let s = -26 + l. What is the nearest to s in -1/5, 0.09, 0.5? 0.09 Let p be (-2 - (-96)/44) + 16/154. Which is the closest to p? (a) 2/7 (b) -3 (c) -1/3 a Let t be -3 + -2 - (-4 + 1/(-1)). Which is the nearest to t? (a) 0.3 (b) -1 (c) -5/3 (d) -1/38 d Let r = -1.418 - -1.318. Let m = 0.5 - 0.2. Which is the nearest to r? (a) 0 (b) m (c) 0.4 a Let r = -4/101 - 295/202. Which is the closest to r? (a) 4 (b) 0 (c) -1/4 c Let u = -14.444 + 0.344. Let q = -14.03 - u. Which is the closest to 3? (a) q (b) 3 (c) -2/9 b Let w = -38 - -33. Let n be (1 - 1)/(3 + -1). Suppose -2*x = -n*x. What is the nearest to 0 in x, -0.4, w? x Let w = -0.57 - -0.06. Let x = w + 1.51. What is the nearest to x in 0.3, 0.5, 3? 0.5 Let l = 64.1 - 64. Let k = -64 - -58. What is the closest to l in 2/5, k, 4? 2/5 Let k(j) = j**2 - 3*j + 3. Let x(s) = s**2 - 4*s + 2. Let o(h) = -2*k(h) + 3*x(h). Let w be o(5). Let b = 2 + -6. What is the closest to 0.2 in b, 2, w? 2 Let f = 80 + -79.7. Let p be (1/(-5))/(8/20). Which is the nearest to p? (a) -2/9 (b) 0.5 (c) f a Let w = 1468 - 14
{ "pile_set_name": "DM Mathematics" }
.18, -1 Sort -66, -6, 5, 13, 3. -66, -6, 3, 5, 13 Sort 1/11, 2/17051, -0.05 in descending order. 1/11, 2/17051, -0.05 Sort -166, 0, -0.12, -2, -1, -0.2 in increasing order. -166, -2, -1, -0.2, -0.12, 0 Sort 2, -7147, 18, -4. -7147, -4, 2, 18 Sort -1, -4692, 0 in ascending order. -4692, -1, 0 Put -100, -1/4, 1/2, 1215/7 in decreasing order. 1215/7, 1/2, -1/4, -100 Put -3, 450, -16 in increasing order. -16, -3, 450 Sort -69, 158, 1/4 in descending order. 158, 1/4, -69 Sort 4, -7, 119, -3, 1 in increasing order. -7, -3, 1, 4, 119 Put 3, 4, 50, -5, 10, 5 in increasing order. -5, 3, 4, 5, 10, 50 Sort 30333, 2/7, -2 in decreasing order. 30333, 2/7, -2 Put 1, -11516, 2/5 in decreasing order. 1, 2/5, -11516 Put -4, 1, -42748 in decreasing order. 1, -4, -42748 Sort 45, -4, -3, 5, 39 in decreasing order. 45, 39, 5, -3, -4 Sort 0, 4, 3, -1260, 5 in decreasing order. 5, 4, 3, 0, -1260 Sort -2, 929, 3 in increasing order. -2, 3, 929 Sort 0.5, 0.2, -59, -144 in decreasing order. 0.5, 0.2, -59, -144 Sort 1, -16, 5, 2, 1820 in increasing order. -16, 1, 2, 5, 1820 Put -7, 0, 3, -82, 17, -1 in ascending order. -82, -7, -1, 0, 3, 17 Put 1.7, 4/3, -7, 1/82 in decreasing order. 1.7, 4/3, 1/82, -7 Sort -3, 10, 7, -9 in descending order. 10, 7, -3, -9 Sort 1, 21, 3, 4, 5, 1223 in decreasing order. 1223, 21, 5, 4, 3, 1 Put 378, -0.4, 10, 3/5 in decreasing order. 378, 10, 3/5, -0.4 Put 12.8, -1/6, 0, 0.01 in descending order. 12.8, 0.01, 0, -1/6 Sort -1, -47, 35, 3 in increasing order. -47, -1, 3, 35 Put 45, 12, -0.1, -4 in decreasing order. 45, 12, -0.1, -4 Put -0.1, -2433, -1/5 in increasing order. -2433, -1/5, -0.1 Put -2/7, -3075, 7 in decreasing order. 7, -2/7, -3075 Put -2/7, -3, -1/7, -51.1 in descending order. -1/7, -2/7, -3, -51.1 Sort 824, 3, -9, 1, -3, -4 in increasing order. -9, -4, -3, 1, 3, 824 Sort 1, 80, -110 in increasing order. -110, 1, 80 Put 1, -173, -5, 4 in decreasing order. 4, 1, -5, -173 Put 31, 15, -3, -80 in ascending order. -80, -3, 15, 31 Sort -0.1, 12, 0.3, 481, 2. -0.1, 0.3, 2, 12, 481 Put -47, -5, -440/3, -0.4, 1/8, 2 in decreasing order. 2, 1/8, -0.4, -5, -47, -440/3 Sort -33, 101, -3, -4, -5 in descending order. 101, -3, -4, -5, -33 Sort -29, -91, -2, 0 in ascending order. -91, -29, -2, 0 Sort 2/3, 106, 4, 1, -39, -2/7. -39, -2/7, 2/3, 1, 4, 106 Sort -0.1, -2, 253, 1/4, 0.3 in descending order. 253, 0.3, 1/4, -0.1, -2 Put -1, -95, 0, 2, 3 in decreasing order. 3, 2, 0, -1, -95 Sort -0.5, 0.5, 17, -2, -0.065, -11 in decreasing order. 17, 0.5, -0.065, -0.5, -2, -11 Put -3, 60968, 16 in descending order. 60968, 16, -3 Sort 2, -23162, -2/17, -5, 0.3. -23162, -5, -2/17, 0.3, 2 Sort 0, 42, -4, 2, -1, -3 in decreasing order. 42, 2, 0, -1, -3, -4 Put 5/2, 5, -18, -2.23 in ascending order. -18, -2.23, 5/2, 5 Sort -1/276, -1502, 1 in decreasing order. 1, -1/276, -1502 Sort 1, -2, 0.7, 2, 0.029 in increasing order. -2, 0.029, 0.7, 1, 2 Sort -5, -6, -255, 4, 2, 3 in descending order. 4, 3, 2, -5, -6, -255 Put 3, -1, 11, 0, 10, -112 in ascending order. -112, -1, 0, 3, 10, 11 Put 23, -3, -2, -5, -14, -142 in increasing order. -142, -14, -5, -3, -2, 23 Sort -6, -5, -1537 in descending order. -5, -6, -1537 Put 1, 1306, -2 in ascending order. -2, 1, 1306 Sort 26, -0.3, 13, 0.7 in increasing order. -0.3, 0.7, 13, 26 Put 3, 2642, 10 in increasing order. 3, 10, 2642 Put -52, -3, 210, 7, 2 in decreasing order. 210, 7, 2, -3, -52 Put 3, -220, -4, 5, -9 in ascending order. -220, -9, -4, 3, 5 Put -5, -58, -8/7, 5, -0.01 in increasing order. -58, -5, -8/7, -0.01, 5 Sort -51, -1/21, 1, -12 in decreasing order. 1, -1/21, -12, -51 Sort 3, 117, 27, -3, 6 in increasing order. -3, 3, 6, 27, 117 Sort 4, 2, 12, -60 in increasing order. -60, 2, 4, 12 Put -584, 5, -0.5, 12, 0.1 in ascending order. -584, -0.5, 0.1, 5, 12 Put 3/2, 13, -1/5, -0.4, 17, 0 in ascending order. -0.4, -1/5, 0, 3/2, 13, 17 Sort -25, -2, 2923. -25, -2, 2923 Put -105, -91, -4, -1, 11, -3 in decreasing order. 11, -1, -3, -4, -91, -105 Sort -25, 857, -4, -2. -25, -4, -2, 857 Sort -49, -8, 2, -29 in descending order. 2, -8, -29, -49 Put -0.1, -2/85, 27.45 in ascending order. -0.1, -2/85, 27.45 Sort 3, -4, 6550, -0.18, 4. -4, -0.18, 3, 4, 6550 Put 13, 867, -3, 1, 5, 2 in descending order. 867, 13, 5, 2, 1, -3 Sort -4, 6, 34, 4. -4, 4, 6, 34 Sort -3, 2, 4, 125, 1 in descending order. 125, 4, 2, 1, -3 Sort -62/21, -5, 2/27, -0.4. -5, -62/21, -0.4, 2/27 Sort -16, 12, -25 in increasing order. -25, -16, 12 Put -14361, 2, -2, -5 in ascending order. -14361, -5, -2, 2 Put -4, 37, -1/6, -8 in decreasing order. 37, -1/6, -4, -8 Sort -4, -3, -1990. -1990, -4, -3 Sort -4984/15, 8, -0.4. -4984/15, -0.4, 8 Sort -3, 1, 49, 6, 0 in ascending order. -3, 0, 1, 6, 49 Sort 5, -4243, -7, -2. -4243, -7, -2, 5 Sort 772, 3, 11, 2, 0 in decreasing order. 772, 11, 3, 2, 0 Sort 32, 500, -3, -5, -4, 1. -5, -4, -3, 1, 32, 500 Put 1554, 0.3, -7.2 in ascending order. -7.2, 0.3, 1554 Sort -0.1, -8052, 1/5, 3, 2/5 in descending order. 3, 2/5, 1/5, -0.1, -8052 Sort -3, 5, 2, -206/3. -206/3, -3, 2, 5 Sort -1360, 73, -2. -1360, -2, 73 Put -2, -6136, 4, 0 in ascending order. -6136, -2, 0, 4 Put 25, -4/7, 0.02, -0.94, 0 in decreasing order. 25, 0.02, 0, -4/7, -0.94 Sort 0.428, -3, -1249. -1249, -3, 0.428 Put -5, -1, 2, 4, 5, 18 in decreasing order. 18, 5, 4, 2, -1, -5 Sort 5, 0, -347, -1 in increasing order. -347, -1, 0, 5 Sort -5, -3, 5, -195, 74 in increasing order. -195, -5, -3, 5, 74 Sort -2, 27, -5, 5, 2. -5, -2, 2, 5, 27 Put -2930, -2/7, 6, -5/4, 0.2 in descending order. 6, 0.2, -2/7, -5/4, -2930 Sort -21, -9171, 4, -4 in increasing order. -9171, -21, -4, 4 Put 1591, -5, 4 in decreasing order. 1591, 4, -5 Sort -70, 75, -2. -70, -2, 75 Sort -4, -112, -25, 118 in descending order. 118, -4, -25, -112 Put 0.3, 4, 6, -0.5, 2/7, -3244 in decreasing order. 6, 4, 0.3, 2/7, -0.5, -3244 Sort 3, -106, -1, -4, 1. -106, -4, -1, 1, 3 Sort 22, 1/9, 16, -0.5, 3, 0 in descending order. 22, 16, 3, 1/9, 0, -0.5 Sort -3, -926, -16 in ascending order. -926, -16, -3 Sort 1, 2/73, -1.7, -1/9, -1/7, -5 in descending order. 1, 2/73, -1/9, -1/7, -1.7, -5 Put 2/5, 16, 0.03, -7, -5, 2/7 in increasing order. -7, -5, 0.03, 2/7, 2/5, 16 Sort -2, 7, 2, -8, 0, -43 in descending order. 7, 2, 0, -2, -8, -43 Put -289, 4, -8, -2, -1, 7 in decreasing order. 7, 4, -1, -2, -8, -289 Sort -3, 2, -9, -22, 6 in ascending order. -22, -9, -3, 2, 6 Sort 4, -5, 1, -13, -39 in decreasing order. 4, 1, -5, -13, -39 Sort 2/3, -308/9, -7, 3, -3/2 in ascending order. -308/9, -7, -3/2, 2/3, 3 Put -156, 1, -8 in decreasing order. 1, -8, -156 Put 3, -5, -19, 1, -134 in decreasing order. 3, 1, -5, -19, -134 Sort -1, 5910, 6 in decreasing order. 5910, 6, -1 Put 4, -5, -16880, 5 in descending order. 5, 4, -5, -16880 Sort -2, -1893, -118. -1893, -118, -2 Sort -2/7, -1/11, 1/8, 18, 23 in ascending order. -2/7, -1/11, 1/8, 18, 23 Sort 35, 5, -270 in decreasing order. 35, 5, -270 Sort -14, -4, 5, 101, -1 in increasing order. -14, -4, -1, 5, 101 Sort -10, 40279, -1. -10, -1, 40279 Sort 4, -5570, 3, 12 in descending order. 12, 4, 3, -5570 Sort 0.3, 1, -34, -27.5, -3 in decreasing order. 1, 0.3, -3, -27.5, -34 Sort -2, 102.2633, -0.2. -2, -0.2, 102.2633 Put -2, -17, 32, -8, -3 in increasing order. -17, -8, -3, -2, 32 Put -16, 4, -5, 3, 0, -149 in increasing order. -149, -16, -5, 0, 3, 4 Sort 50, 1124, -2. -2, 50, 1124 Sort 5, -189, 94, 4 in descending order. 94, 5, 4, -189 Sort -11, -967, -9 in increasing order. -967, -11, -9 Sort -0.1, -2, -1/7, -1, -7203 in ascending order. -7203, -2, -1, -1/7, -0.1 Sort 0.4, 5, 24760 in ascending order. 0.4, 5, 24760 Sort 3, 5, -2, 4, 87, -6 in descending order. 87, 5, 4, 3, -2, -6 Sort -3, 7, -5, 0, -96, 22 in increasing order. -96, -5, -3, 0, 7, 22 Put 4, -1, -57, -3465 in increasing order. -3465, -57, -1, 4 Put -1, -0.8, -2/35, 3, -465 in increasing order. -465, -1, -0.8, -2/35, 3 Put -2/3, -32.9, -1/3, 2/3, 0.3 in decreasing order. 2/3, 0.3, -1/3, -2/3, -32.9 Sort -3, 3914, 3, -5 in ascending order. -5, -3, 3, 3914 Sort -6, -1, 4, 50, -5 in increasing order. -6, -5, -1, 4, 50 Sort -16/59, -4/7, -1/3, -0.01, 1/5 in descending order. 1/5, -0.01, -16/59, -1/3, -4/7 Put -0.21, -7, -86, 0.2, -2/7 in increasing order. -86, -7, -2/7, -0.21, 0.2 Put -0.3, -5, -4,
{ "pile_set_name": "DM Mathematics" }
- 27. Sort x, d, 1. d, x, 1 Suppose -v = -m - 2, 2*m = -3*v + 2*v + 8. Sort -6, 1, v, -2 in ascending order. -6, -2, 1, v Let m(y) = -y**2 - 13*y - 13. Let r be m(-12). Sort 0, r, 4, -2 in ascending order. -2, r, 0, 4 Let o = 10 - 6. Let h(m) = m**3 - 5*m**2 + 4*m - 2. Let a be h(o). Let s = -89 - -88.6. Put s, -0.1, a in descending order. -0.1, s, a Let c = 38 + -37.7. Suppose -4*m - 2*y + 4*y + 34 = 0, 0 = m - 3*y - 21. Suppose 0 = 2*i - m - 4. Sort c, -2/13, i in ascending order. -2/13, c, i Let q = -7 - -2. Put 5, q, 2 in ascending order. q, 2, 5 Let g = -2303/13 - -177. Let m be (6/14)/(3/2). Sort m, 0.3, g in increasing order. g, m, 0.3 Let g = -11 + 15. Suppose 2*u - 14 = -4. Let i = 0.14 - -2.86. Sort u, i, g in increasing order. i, g, u Let q = 140 + -419/3. Sort q, 2, -0.4 in descending order. 2, q, -0.4 Let f = 21/4 + -5. Let k be 0 + -1 - 4218/(-4848). Let n = 1/202 + k. Sort f, 0, n in increasing order. n, 0, f Let q(n) = n**3 - 6*n**2 - 2*n + 8. Let a be q(6). Let w = -4 + 6. Sort -0.05, a, w in decreasing order. w, -0.05, a Suppose -2*i - 13 = -3. Suppose -r - 3*r = 28. Let n = r + 10. Put n, i, -2 in decreasing order. n, -2, i Suppose 4 = -2*c - 0*c. Let t be 1*((-6)/c - -2). Sort 3, t, 0 in ascending order. 0, 3, t Let q be (-30)/(-9) + (1 - 4). Let d = -164/255 + -2/85. Let o be -1 - ((-1 - -2) + -1). Put q, d, o in decreasing order. q, d, o Let r = -4.96 + 5. Sort -3/2, r, -0.2, -0.5 in descending order. r, -0.2, -0.5, -3/2 Let m = -139/720 + -1/144. Sort 0.03, m, 0.3 in decreasing order. 0.3, 0.03, m Let h(t) = -t**2 - 9*t - 4. Let d be h(-8). Sort -3, -5, d in increasing order. -5, -3, d Let y = -1.969 + -0.031. Sort y, 0, -0.4 in increasing order. y, -0.4, 0 Let l = -8 + 3. Let r = -6.08 - -6. Let b = -2.92 + r. Sort l, b, -2. l, b, -2 Let w be 12/5 - 6/15. Sort w, -2, -4. -4, -2, w Let y be (-4)/(21 - 1) - (-12)/10. Put 4, -2/9, y, -2/3 in decreasing order. 4, y, -2/9, -2/3 Let f = -0.1 - 2.9. Let o be 217/245 + 6/(-10). Sort 0.5, o, f in descending order. 0.5, o, f Let d = 0.3 - -0.1. Sort -1, 1/7, d in decreasing order. d, 1/7, -1 Let i = 12 - 15. Let n be 2/(-9) - 4/(-18). Put i, 3, n in decreasing order. 3, n, i Let y be (-3)/(-4) + (-11)/4. Put y, 3, -9 in ascending order. -9, y, 3 Suppose -c - 7*c - 24 = 0. Put -1, c, 0 in decreasing order. 0, -1, c Let p(l) = 3*l - 1. Let x be p(-3). Suppose 0*o + 8 = 2*o + 2*c, -2*c = -o + 7. Sort x, 2, o in ascending order. x, 2, o Let x be 5/6*24/80. Let k be 70/28*(-8)/(-10). Put k, x, 0.4 in decreasing order. k, 0.4, x Suppose u + 4*x + 24 - 7 = 0, -x - 4 = 0. Let l be 5/(-6) - (-2 - u). Let i = -1/6 - l. Sort i, -0.5, 4 in ascending order. -0.5, i, 4 Let h = -0.1 - -0.1. Let i = h + -2. Let q(s) = s**3 + 5*s**2 - s - 3. Let t be q(-5). Sort t, 1, i in decreasing order. t, 1, i Let c = 60 + -56. Put -5, -2/15, -3, c in decreasing order. c, -2/15, -3, -5 Suppose -m + 4*m - 3 = 0. Let n be 2 - (48/27)/m. Let k = -4 - -1. Sort n, k, -5 in increasing order. -5, k, n Suppose 3*o - 4*o = -2. Sort 3, 5, o. o, 3, 5 Suppose 4*r = -3*c - 15, 3*r - 6*r - 2*c - 11 = 0. Let w be 2 - 5 - (3 - 2). Sort r, -2, w in decreasing order. -2, r, w Let u = 6 - 6.3. Suppose 0*w - 17 = 5*v - 2*w, -2*w = 4*v + 10. Sort -4, u, v in descending order. u, v, -4 Let s be 6/27 - (-22)/(-18). Let r be ((-6)/(-5))/((-12)/40). Sort r, s, -2. r, -2, s Let g(y) = -6*y. Let j be g(-1). Sort 4, -5, j in ascending order. -5, 4, j Let q(a) = 7*a + 4. Let d be q(-1). Suppose 0 = -5*f - 2*v + 68, 0*v = 3*f - 5*v - 16. Let c be (2/3)/(2/f). Sort d, -4, c in descending order. c, d, -4 Suppose 194*v + 6 = 197*v. Let y = 0.6 + -1. Sort v, 4, y in descending order. 4, v, y Let b = 0 - 2. Let q = b - 2. Let k = -4 - -2. Put q, -3, k in increasing order. q, -3, k Suppose -a + 6 = -0*a. Let m = a - 9. Sort -1, -0.5, m in decreasing order. -0.5, -1, m Let s be (150/14)/(-3) + (-12)/(-21). Put s, 3, 2 in descending order. 3, 2, s Let f(l) = 2*l**2 - l - 16. Let i be f(-3). Sort 15, i, -2. -2, i, 15 Let f(z) = z**3 - 4*z**2 - z + 9. Let c be f(4). Sort c, -2, -1 in ascending order. -2, -1, c Let q be ((-8)/(-6))/((-6)/(-27)). Suppose -q*y = -3*y - 6. Let p = 0.2 - 4.2. Sort p, y, 3. p, y, 3 Let v = -69 - -65. Put -1, -0.4, v in descending order. -0.4, -1, v Let t = -850 - 82. Let s be 2/(-8) + t/(-80). Let b = 12 - s. Put b, 3/4, -3/5 in descending order. 3/4, b, -3/5 Let c = -63 - -191/3. Let p = 1 + 2. Suppose 5 = i + p. Put c, 1, i in descending order. i, 1, c Let x = -4 - -7. Let b = -0.13 - 0.17. Sort x, -1, b. -1, b, x Let d = -30 + 26. Let u = -1 - 0. Put 0, u, d in descending order. 0, u, d Let z = -100.3 + 100. Put 4, -0.4, z, -13/4 in decreasing order. 4, z, -0.4, -13/4 Let v(i) be the second derivative of i**3/6 - 6*i**2 - 7*i. Let r be v(9). Let c be (-2)/8 + 26/8. Sort 4, c, r in decreasing order. 4, c, r Let y = 5.6 + -0.6. Put y, -2/9, -4 in increasing order. -4, -2/9, y Let i(u) = u**3 - 6*u**2 + u - 7. Let z be i(6). Let h(c) = -c**2 - 9*c - 6. Let q be h(-7). Let w = q - 3. Put -2, z, w in ascending order. -2, z, w Let z = -0.55 - -0.05. Let v = z - -1. Let p = 1.2 + -0.2. Sort v, -4, p. -4, v, p Suppose 2*k = 5*w + 3 + 3, -5*k + 3*w = 4. Suppose 2 = -4*b + 6. Put b, k, 5 in descending order. 5, b, k Let l(n) = 3*n**2 + 5*n. Let f be l(-2). Put 5, -3, f, 0 in decreasing order. 5, f, 0, -3 Let i be 20/(-3)*21/14. Put -4, -5, i in descending order. -4, -5, i Suppose 0 = 2*h - h. Put h, -4, -5 in descending order. h, -4, -5 Let c = 72 - 77. Let w = 8 - 5. Put c, w, -19 in descending order. w, c, -19 Let k = 16/15 - 5/3. Let r be 40/50 + 2/10. Sort -1, r, k. -1, k, r Let d be (-1)/((12/15)/(-4)). Suppose d*m + 13 = 2*m + f, -4*f = m - 13. Sort 2, m, 0. m, 0, 2 Suppose 3*y + 0*y = 30. Sort y, -5, 3 in ascending order. -5, 3, y Suppose -3*w + 4*w = -2. Let z be (-2)/(-30)*(-5)/w. Let v = 2 + -4. Put 0, z, v in ascending order. v, 0, z Let z be (-4)/(-10) - 144/210. Let k = 12 - 12.1. Put z, k, -2/3 in increasing order. -2/3, z, k Let y = -44 + 48. Put -0.1, 1/7, y in decreasing order. y, 1/7, -0.1 Let f = -704/3 + 232. Let w = 4 + f. Sort 1/3, 0.4, w in ascending order. 1/3, 0.4, w Let a = -2.46 + 0.46. Put -3/5, -4, 0.4, a in descending order. 0.4, -3/5, a, -4 Let c = 3 + -1. Let b = -0.03 - 0.37. Put b, -2, c in decreasing order. c, b, -2 Let m = 18 + -10. Suppose -5*l + u - 2 = -4, -3*u = 4*l + 6. Suppose -q + 3*q + m = l. Sort 5, q, -1 in descending order. 5, -1, q Let o(y) = y**2 + y. Let n be o(-2). Let q = n + -4. Let m = 48 - 46. Sort m, q, 5 in descending order. 5, m, q Let j(c) = c + 2 - 3 - 30*c**2 + 28*c**2. Let b be j(1). Sort b, 5, -5 in ascending order. -5, b, 5 Suppose -4*f = f + 5. Sort f, -4, -3 in decreasing order. f, -3, -4 Let v = -79 + 557/7. Sort 0, v, 0.1 in decreasing order. v, 0.1, 0 Suppose 3*g - 3*p - 23 = -8, 2*g = -2*p - 6. Suppose -6*a + 5*y - 10 = -a, -5*y = 5*a. Sort a, -0.6, g. a, -0.6, g Let b be -2 + (-4)/4 + 2. Put b, -7, 2 in increasing order. -7, b, 2 Let t = 0.63 + -0.03. Let i = -0.4 - t. Let k = -1103/13 - -85. Sort k, i, 0.4 in decreasing order. 0.4, k, i Let g(c) be the second derivative of c**5/20 + c**4/2 + 2*c**3/3 - 5*c**2/2 + 4*c. Let a be g(-5). Put 5, 3, a in decreasing order. 5, 3, a Suppose -2*b + 13 = n, 0*n + 4*n + 4*b - 36 = 0. Let j = 10 - 11. Put j, 3, n in decreasing order. n, 3, j Let y = 4.056 - 0.056. Put y, 1/7, -1 in decreasing order. y, 1/7, -1 Let y be 91/(-104)*(-6)/7. Put 1, -5, y in decreasing order. 1, y, -5 Let w(h) = -h**3. Let q be w(-1). Suppose 4*u - 3*u - 2 = 0. Put q, u, -2 in increasing order. -2, q, u Suppose 2*i - 7 = 3. Suppose i*x + 4*d + 24 = 4, -3*d = -5*x - 20. Let c(z) = z**2 + 10*z + 12. Let h be c(-9). Put h, 2, x in increasing order. x, 2, h Let h(d) = -d**3 + 3*d**2 + d - 4. Let i be h(3). Let q be ((-6)/(-9))/((-2)/(-3)). Put 4, i, q in decreasing order. 4, q, i Let k = 47 - 42. Sort 19, -2/7, k, 0.4 in decreasing order. 19, k, 0.4, -2/7 Suppose 4*s - 16 = 2*s. Sort 3, s, -4 in increasing order. -4, 3, s Suppose -12 = 9*k - 13*k. Suppose -k*s = 2*s - 5. Sort 3, s, 0. 0, s, 3 Let m(f) = -f**3 - 7*f**2 - 6*f + 8. Let k be m(-6). Suppose k*q - 20 = 4*q. Sort 4, -5, q in increasing order. -5, 4, q Let v(h) = 2*h**2 + 2*h - 2 +
{ "pile_set_name": "DM Mathematics" }
t a(v) = -2*v + 3. Let c = 6 + -12. Let g(y) = c*b(y) + 22*a(y). Let t(k) = -k**2. Give t(g(x)). -4*x**2 Let z(d) be the third derivative of d**4/8 + 7*d**2. Let o(k) = -3*k**2. Give z(o(y)). -9*y**2 Let b(f) be the third derivative of 0*f + 7*f**2 - 1/6*f**4 + 0*f**3 + 0. Let p(n) = -3*n. Give b(p(h)). 12*h Let i(n) = n. Let l = 25 + -19. Let x(h) = -3*h**2 + l*h**2 - h**2 + 0*h**2. Calculate x(i(w)). 2*w**2 Suppose -h = h - 4. Let n(d) = -3*d**2 - 2*d**2 + h*d**2. Let o(c) = c**2 + c**2 + 0*c**2. Calculate o(n(l)). 18*l**4 Let q(j) be the third derivative of -j**8/10080 + j**5/20 + j**2. Let a(l) be the third derivative of q(l). Let z(o) = 3*o - 5*o + 4*o. Calculate a(z(i)). -8*i**2 Let h(x) = 1137*x**2. Let z(v) = 3*v. Calculate z(h(y)). 3411*y**2 Let r(g) = -g. Let u(v) = v**2 - 1549*v. Determine r(u(h)). -h**2 + 1549*h Let t(o) = -o**2. Let c(p) = -p**2 + 8*p**2 + 8*p**2 - 19*p**2. Determine c(t(s)). -4*s**4 Let w(b) = -5*b**2. Let d(s) = -31*s**2. Determine w(d(h)). -4805*h**4 Let d(t) = -2*t. Let w(z) = -27*z**2 - 2*z. Let f(r) = -108*r**2 - 9*r. Let y(c) = -2*f(c) + 9*w(c). What is d(y(b))? 54*b**2 Let y(b) = -2*b. Let q(x) = 7 + 10*x**2 - 7. Calculate y(q(f)). -20*f**2 Let n(w) = 120*w**2. Let c(v) = 79*v. Determine c(n(x)). 9480*x**2 Let o(t) = -4*t. Let n(d) = -2*d + 5*d + 0*d + 4*d. What is n(o(r))? -28*r Let l(z) = -z**2. Let h(g) be the second derivative of -g**4/6 + 13*g**3/2 - 38*g + 2. Determine h(l(u)). -2*u**4 - 39*u**2 Let u(x) = 3*x**2. Let k(h) = -5*h - 158. Give k(u(a)). -15*a**2 - 158 Let r(o) = -2*o. Let p(y) = -38*y + 11*y + 4*y - 19*y. Give p(r(h)). 84*h Let h(g) = -2*g**2. Let t(v) be the second derivative of -6*v**3 - 29*v. Calculate h(t(q)). -2592*q**2 Let s(v) = -v - 3. Let h(i) = 2*i + 2. Let r(k) = 3*h(k) + 2*s(k). Let f(d) = -d - 6. Let w(b) = b + 5. Let l(y) = 5*f(y) + 6*w(y). Give r(l(u)). 4*u Let h(g) be the first derivative of -g**2 + 2. Suppose -6*z - 20 = -11*z. Let c(x) = -x - z*x + 0*x + 8*x. Determine h(c(m)). -6*m Let d(a) = 74*a. Let b(n) = n. Calculate d(b(u)). 74*u Let g(q) = -5*q. Let j(l) = -4*l**2 + 180*l. Calculate j(g(p)). -100*p**2 - 900*p Let w(a) = -8*a**2. Let j(z) = z**2 - 5*z - 5. Let u(f) = -f - 1. Let n(v) = j(v) - 5*u(v). Calculate n(w(p)). 64*p**4 Let t(c) = -c + 1. Let v(m) = 6*m - 3. Let d(y) = -3*t(y) - v(y). Let f(r) = -2*r**2. Calculate f(d(w)). -18*w**2 Suppose -5*v + 27 = 7. Let z(s) = s - s + v*s. Let r(t) = t - 1 - 1 + 2. What is r(z(i))? 4*i Let b(u) = -u + u - u + 0. Let y(l) = l - 5. Let a(s) = 6. Let j(w) = -5*a(w) - 6*y(w). Calculate b(j(g)). 6*g Let n(w) = -3*w**2. Let y(x) = -4*x**2 + 0*x**2 + 7*x**2. Calculate n(y(j)). -27*j**4 Let r(g) = -8*g. Let m(y) = y**2 + 4*y**2 - 4*y**2. What is m(r(a))? 64*a**2 Let l(b) = -7*b. Let f(h) = -h**2 - 59*h + 59*h. Determine f(l(c)). -49*c**2 Let r(w) = -3*w. Let q(t) be the second derivative of -3*t**4/4 - 10*t. Calculate r(q(x)). 27*x**2 Let h(y) = -y**2 + 3*y + 3. Let t(z) = z**2 + z + 1. Let j(q) = -2*h(q) + 6*t(q). Let p(s) be the second derivative of -s**3/6 + 15*s. Give p(j(f)). -8*f**2 Let u(n) = -2*n**2. Let y(b) = -869*b. Determine y(u(j)). 1738*j**2 Let w(i) = 22*i**2 - 1. Let f(a) = -3*a**2. Determine f(w(t)). -1452*t**4 + 132*t**2 - 3 Let n(o) = 27*o - 55*o + 27*o. Let d(m) be the second derivative of -m**4/2 + m. What is n(d(b))? 6*b**2 Let i(g) = -2*g. Let d(k) = -k**2 + 4*k. Calculate i(d(b)). 2*b**2 - 8*b Let v(g) = -2*g + 2*g - g. Let u(s) = -5*s. Let a(x) = -26*x. Let p(h) = -2*a(h) + 11*u(h). Calculate v(p(z)). 3*z Let o(a) = -9*a. Let t(n) = 58*n**2 + 5*n. Calculate o(t(x)). -522*x**2 - 45*x Let x(j) = -j**2. Let r(w) = -1 + 4 + 4*w + 4*w - 3*w. Let k(t) = 24*t + 14. Let z(m) = 6*k(m) - 28*r(m). Give z(x(p)). -4*p**2 Let o(s) = s**2. Let n be ((2 - 1)*0)/1. Let r(m) = n*m + 5 - 3*m**2 + 2*m + 3*m. Let f(d) = -5*d**2 + 8*d + 8. Let w(k) = -5*f(k) + 8*r(k). What is w(o(v))? v**4 Let t(p) = 44*p**2. Let a(y) = -10*y + 3*y + 3*y + 3*y. What is a(t(s))? -44*s**2 Let t(z) = -7*z - 3. Let w(v) = 6*v**2. Determine t(w(x)). -42*x**2 - 3 Suppose 0 = f, 3*f + 8 = w + f. Let k be 14/w + (-5)/(-20). Let h(a) = -7*a + 7*a + k*a**2. Let s(d) = 7*d. Determine h(s(n)). 98*n**2 Let q(t) = 10*t - 16*t + 8*t. Let x(u) = -4*u**2. What is q(x(c))? -8*c**2 Let i(t) = t + 3. Let p(u) = u - 1. Let w(f) = -6*f - 1. Let m(x) = -4*p(x) - w(x). Let o(r) = -5*i(r) + 3*m(r). Let b(l) = -11*l**2. Give b(o(v)). -11*v**2 Let r(w) = 13*w + 10*w - 10*w. Let k(v) = v. Determine k(r(x)). 13*x Let b(h) = 5712*h - 2. Let j(d) = -2*d**2. Give j(b(c)). -65253888*c**2 + 45696*c - 8 Let k(h) = -h**2. Let z(v) = 11*v**2 + 4*v. Let a(c) = -154*c**2 - 55*c. Let n(q) = 4*a(q) + 55*z(q). Determine n(k(y)). -11*y**4 Let y(c) = -5*c. Suppose -6*o + 4 = -4*o. Let d(g) = g**2 + 6*g + 5. Let k be d(-6). Let h(p) = -1 - k + 6 + 2*p**o. Determine y(h(u)). -10*u**2 Let l = 7 - 17. Let i(b) = 9*b. Let x(d) = -2*d. Let o(m) = l*x(m) - 2*i(m). Let n(k) = -10*k**2. What is n(o(h))? -40*h**2 Let j(w) = w - 3*w + 18*w. Let o(y) = 2*y. Calculate j(o(m)). 32*m Let p(l) be the second derivative of -l**6/72 - l**3/3 + 8*l. Let r(s) be the second derivative of p(s). Let i(d) = -2*d. Determine i(r(y)). 10*y**2 Let z(m) = 22*m. Let o(q) = 50*q**2. What is o(z(c))? 24200*c**2 Let n(u) = u**2 + 6*u + 1. Let d be n(-6). Suppose -3 = -2*h + d. Let s(g) = g**h + 4 - 4. Let k(w) = 3*w**2. What is k(s(q))? 3*q**4 Let s(h) = 2*h**2 + 3*h + 3*h - 6*h. Let g(t) = -7*t**2. Determine g(s(c)). -28*c**4 Let b(w) = 5*w**2. Let j(z) = -z + 145. Determine j(b(s)). -5*s**2 + 145 Let z(g) = -g + 5. Let n(b) = -4*b. Calculate n(z(s)). 4*s - 20 Let m(l) = -4*l**2. Let q(j) be the first derivative of 3*j + 0*j**3 + 3 + 0*j**2 + 1/12*j**4. Let z(r) be the first derivative of q(r). Determine m(z(n)). -4*n**4 Let t(c) = c**2. Let n(z) = -59*z. Determine t(n(l)). 3481*l**2 Let s(x) = -x. Let f be -1 - 1 - (-2 + -3). Let m(j) = j + 3 - f. What is s(m(k))? -k Let p(l) = 2*l. Let u = -23 + 25. Let c(b) = 21*b. Let w(r) = u*c(r) - 18*p(r). Let t(a) = -2*a**2. Give t(w(z)). -72*z**2 Let s(t) = -2*t**2. Let o(n) = 70*n**2. Determine s(o(c)). -9800*c**4 Let x(m) = -m. Let z(v) be the third derivative of 0*v**3 - 2*v**2 + 1/24*v**4 + 0 + 0*v. Determine z(x(q)). -q Let s(o) = -o**2 - 9*o - 5. Let u be s(-8). Let g(k) = 9*k**2 - 3 + u - 2*k**2. Let z(d) = d**2. What is g(z(b))? 7*b**4 Let v(a) = 11*a + 2. Let y(h) = -441*h - 81. Let x(t) = -81*v(t) - 2*y(t). Let n(u) = -4*u**2. What is n(x(d))? -324*d**2 Let c(m) be the second derivative of -m**4/12 - 14*m. Let t(p) = 58*p. Determine c(t(i)). -3364*i**2 Let v(n) = 2*n**2. Suppose 4*h = 2*o - 22, 0*o - o = -3*h - 14. Let f(r) = o*r**2 - 5*r + 5*r + 0*r. Calculate f(v(l)). 20*l**4 Let s(q) = q. Let y(r) = 641*r**2. Give s(y(v)). 641*v**2 Let x(d) = d - 2. Let w(i) = 3*i - 5. Let o(p) = 2*w(p) - 5*x(p). Let c(g) = 4*g - 3*g + 2*g. Determine o(c(t)). 3*t Let o(j) = 2*j**2. Let l(m) = 388*m + 15. Determine l(o(h)). 776*h**2 + 15 Let m(q) = -q + 9*q + 3*q. Let p(d) = -49 + 101 + d - 52. What is p(m(z))? 11*z Let w(y) = -3*y**2. Let f(z) = 190*z + 51. Determine w(f(q)). -108300*q**2 - 58140*q - 7803 Let f(m) = 4*m**2 + 5*m - 5. Let o(y) = y - 1. Let i(l) = -f(l) + 5*o(l). Let w(s) = -2*s**2. What is i(w(u))? -16*u**4 Let x(k) = -k - 10. Let m be x(-7). Let r(s) = -5*s + 4. Let a(l) = -4*l + 3. Let g(b) = m*r(b) + 4*a(b). Let c(d) = d - 2 + 2. Give g(c(h)). -h Let x(l) = -6*l. Suppose -32 = v - 0*v + 2*u, -4*u = -5*v - 118. Let a = -16 - v. Let y(t) = 5*t - a*t + 3*t. Calculate y(x(i)). 12*i Let k(b) = -9*b**2. Let m(i) = -i**2 + 213*i - 2. Give m(k(j)). -81*j**4 - 1917*j**2 - 2 Let o(n) be the third derivative of -n**6/180 + 2*n**3/3 - n**2. Let b(z) be the first derivative of o(z). Let s(k) = -3*k**2. Calculate b(s(r)). -18*r**4 Let d(f) = -13*f - 2. Let h(s) = 90*s + 15. Let i(r) = -15*d(r) - 2*h(r). Let x(w) = w - 2*w + 2*w. What is i(x(q))? 15*q Let h(k) = -108*k**2. Let w(c) = -65*c**2. Determine w(h(p)). -758160*p**4 Let p(y) = -2*y**2. Let b = 1 + 2. Let c be (3/(-2))/(b/(-6)). Let g(v) = 6 + c*v - 6. Give p(g(t)). -18*t**2 Let z(k) = 36*k**2. Let n(x) = 7*x**2. Determine n(z(d)). 9072*d**4 Let j(r) = 2*r. Let p(g) be the second derivative of g**4/2 + 15*g.
{ "pile_set_name": "DM Mathematics" }
44 What is prob of sequence ff when two letters picked without replacement from cckqffffkkkfckfkf? 21/136 Two letters picked without replacement from hffffhhfhhfff. What is prob of sequence ff? 14/39 Two letters picked without replacement from {t: 1, m: 3, e: 1, v: 5, f: 4, h: 1}. What is prob of sequence vm? 1/14 Calculate prob of sequence zrg when three letters picked without replacement from zgkrghzzrggg. 1/44 Three letters picked without replacement from pvhpvk. Give prob of sequence pkh. 1/60 Calculate prob of sequence ylhk when four letters picked without replacement from {l: 1, x: 6, y: 5, k: 1, h: 2}. 1/3276 Calculate prob of sequence dd when two letters picked without replacement from {k: 5, e: 2, d: 13}. 39/95 What is prob of sequence rn when two letters picked without replacement from {r: 6, j: 8, o: 3, n: 2}? 2/57 Calculate prob of sequence pmpm when four letters picked without replacement from {m: 8, n: 5, p: 5}. 7/459 Three letters picked without replacement from {b: 1, a: 11, p: 6, j: 1}. Give prob of sequence abp. 11/969 What is prob of sequence wr when two letters picked without replacement from {r: 1, x: 1, k: 1, w: 2}? 1/10 Two letters picked without replacement from {y: 9, i: 2}. Give prob of sequence yy. 36/55 Two letters picked without replacement from {y: 1, e: 8, o: 2, h: 2}. What is prob of sequence ey? 2/39 What is prob of sequence yc when two letters picked without replacement from yssyyssyusyc? 5/132 What is prob of sequence uu when two letters picked without replacement from {u: 2, a: 18}? 1/190 Four letters picked without replacement from qqqssqqssssqqsss. Give prob of sequence ssss. 9/130 Calculate prob of sequence vzzv when four letters picked without replacement from vvvvzz. 1/15 Two letters picked without replacement from {p: 3, k: 4, d: 4, g: 3, y: 2}. Give prob of sequence dk. 1/15 Four letters picked without replacement from {v: 1, a: 4, k: 1, c: 2, u: 2}. What is prob of sequence auca? 1/105 Three letters picked without replacement from tnzpnznzutpnuzv. What is prob of sequence nuv? 4/1365 Calculate prob of sequence qocc when four letters picked without replacement from {c: 3, o: 3, i: 6, q: 3}. 3/1820 Two letters picked without replacement from xxghjhjgjhggxhhhhhjh. Give prob of sequence jh. 9/95 Calculate prob of sequence nnny when four letters picked without replacement from ynynnnynnynnnnnnynn. 455/3876 Four letters picked without replacement from {c: 2, z: 4, j: 1, q: 1, w: 1}. Give prob of sequence zzqz. 1/126 What is prob of sequence uktt when four letters picked without replacement from ttkuuttkuututtkut? 3/170 Calculate prob of sequence ly when two letters picked without replacement from {n: 4, y: 1, s: 1, l: 5}. 1/22 Three letters picked without replacement from cfkqf. What is prob of sequence qck? 1/60 What is prob of sequence vi when two letters picked without replacement from {g: 4, v: 1, y: 1, i: 2, n: 1}? 1/36 Calculate prob of sequence sp when two letters picked without replacement from ypseeyjayeesay. 1/91 Four letters picked without replacement from mjjfaanjmfjjmmj. What is prob of sequence ajjf? 1/273 What is prob of sequence cr when two letters picked without replacement from {n: 5, b: 2, i: 3, r: 1, e: 3, c: 1}? 1/210 Four letters picked without replacement from {i: 2, e: 3, t: 4}. Give prob of sequence tiee. 1/63 What is prob of sequence lndn when four letters picked without replacement from tntlltnltlnlltttdtt? 1/2584 Two letters picked without replacement from {o: 1, m: 2, v: 3, w: 1}. What is prob of sequence vv? 1/7 What is prob of sequence aaaa when four letters picked without replacement from yyyaaaaaaya? 7/66 Two letters picked without replacement from qzlzqrqerz. What is prob of sequence zz? 1/15 What is prob of sequence pfp when three letters picked without replacement from fpp? 1/3 Three letters picked without replacement from vmdhd. What is prob of sequence ddh? 1/30 Two letters picked without replacement from {p: 3, w: 2, j: 1, k: 1, f: 1, n: 3}. What is prob of sequence pp? 3/55 Two letters picked without replacement from {l: 3, d: 1, p: 3}. What is prob of sequence pd? 1/14 Two letters picked without replacement from csdyydddscxy. Give prob of sequence dc. 2/33 Two letters picked without replacement from oyyyykyip. What is prob of sequence oy? 5/72 Three letters picked without replacement from {t: 1, m: 4, b: 2, f: 1, i: 1}. Give prob of sequence fbt. 1/252 Two letters picked without replacement from uvuuuuuuuuuuuuuuvu. What is prob of sequence uv? 16/153 Calculate prob of sequence iii when three letters picked without replacement from iiiixiiiiiili. 15/26 Two letters picked without replacement from {u: 1, w: 3, o: 2, b: 3, c: 4, s: 3}. Give prob of sequence oc. 1/30 Calculate prob of sequence pppp when four letters picked without replacement from {p: 6}. 1 Two letters picked without replacement from {c: 1, m: 3, o: 1, r: 6, w: 3}. What is prob of sequence wo? 3/182 What is prob of sequence fxjt when four letters picked without replacement from rxjxfnnt? 1/840 Four letters picked without replacement from xyyqyfhzhxx. What is prob of sequence zqyh? 1/1320 Three letters picked without replacement from kpdkiiiapbdpdpa. Give prob of sequence iap. 4/455 What is prob of sequence cxlx when four letters picked without replacement from wwwwxwlwvxlxlvclx? 1/1190 Two letters picked without replacement from {r: 8, m: 1, n: 1, x: 3, z: 1, a: 2}. Give prob of sequence ma. 1/120 What is prob of sequence sq when two letters picked without replacement from {m: 1, e: 1, q: 3, s: 4, v: 7, h: 2}? 2/51 Three letters picked without replacement from {b: 3, m: 5}. Give prob of sequence bmb. 5/56 Two letters picked without replacement from kburakbqbuuq. What is prob of sequence qk? 1/33 Calculate prob of sequence tzft when four letters picked without replacement from {z: 3, t: 2, f: 1, v: 7, y: 1}. 1/4004 Calculate prob of sequence rk when two letters picked without replacement from {k: 1, r: 1, q: 1}. 1/6 Three letters picked without replacement from {p: 1, s: 3, d: 4}. What is prob of sequence sss? 1/56 Two letters picked without replacement from {y: 4, t: 10, m: 2}. Give prob of sequence ym. 1/30 Four letters picked without replacement from bknwx. What is prob of sequence xwbn? 1/120 Three letters picked without replacement from {g: 3, l: 2, z: 7}. What is prob of sequence lgl? 1/220 Four letters picked without replacement from uuxxux. Give prob of sequence xuuu. 1/20 What is prob of sequence xll when three letters picked without replacement from tlxassnl? 1/168 Three letters picked without replacement from uuu. What is prob of sequence uuu? 1 Calculate prob of sequence ummh when four letters picked without replacement from {u: 3, z: 1, m: 6, h: 2}. 1/66 What is prob of sequence we when two letters picked without replacement from {w: 4, a: 1, i: 5, e: 1}? 2/55 What is prob of sequence pd when two letters picked without replacement from {d: 2, s: 3, p: 6, j: 1, r: 3}? 2/35 Three letters picked without replacement from sassvaaccva. Give prob of sequence csc. 1/165 Calculate prob of sequence zog when three letters picked without replacement from ooozogggoogooggzggg. 8/323 What is prob of sequence lhaa when four letters picked without replacement from {h: 3, l: 3, r: 8, a: 2, i: 3}? 1/5168 Calculate prob of sequence dd when two letters picked without replacement from dzdzdzz. 1/7 Two letters picked without replacement from {g: 2, l: 2}. Give prob of sequence gg. 1/6 What is prob of sequence lw when two letters picked without replacement from {w: 14, l: 1}? 1/15 Three letters picked without replacement from viqvvqvvviiiivvvi. What is prob of sequence vvq? 3/85 Two letters picked without replacement from {h: 2, u: 3, l: 2, n: 2}. Give prob of sequence nn. 1/36 Three letters picked without replacement from {u: 5, b: 2}. Give prob of sequence ubu. 4/21 Two letters picked without replacement from elelllllllllllllllle. Give prob of sequence ee. 3/190 Four letters picked without replacement from iuhphhpixuucpc. Give prob of sequence xcpp. 1/2002 Calculate prob of sequence hj when two letters picked without replacement from {d: 6, m: 3, j: 3, n: 1, h: 1}. 3/182 Calculate prob of sequence tz when two
{ "pile_set_name": "DM Mathematics" }
= o**3 - 12*o**2 + 2*o - 14. Let p(g) = g + 12. Let h be p(0). Let q be t(h). Calculate the greatest common factor of q and 10. 10 Let b(f) = -f**3 + 12*f**2 - 10*f + 8. Let l be b(8). Calculate the highest common factor of l and 23. 23 Suppose -7 - 11 = -x. Suppose -x = -2*o + 5*k + 25, 0 = 3*o + 5*k - 77. Calculate the highest common divisor of o and 3. 3 Suppose 3*q = n + 7 + 2, 0 = -3*n. Let y be -220*(33/15 - q). Let c be 16*(-1 + 0 - -2). Calculate the greatest common divisor of y and c. 16 Let f = 6 + 13. Calculate the greatest common factor of f and 19. 19 Suppose -91 = -5*a + n, n + 0*n = 4. What is the highest common factor of a and 19? 19 Suppose 3*v - 155 = -5*j - 58, v - 31 = -3*j. What is the greatest common factor of v and 85? 17 Let b be (-24)/3*(-6)/4. Suppose -8 - b = -l. Calculate the greatest common factor of l and 80. 20 Let k = 384 - -150. Suppose -a - 3*a = -5*x + k, -x = 5*a - 130. What is the highest common divisor of 10 and x? 10 Let y be ((-24)/4)/(-2) + 13. Calculate the highest common divisor of 24 and y. 8 Let b be (1224/51)/(0 + (-3)/(-32)). Calculate the greatest common divisor of b and 16. 16 Suppose -2*m = -30 - 42. What is the greatest common divisor of 24 and m? 12 Suppose -14 = -0*z - 2*z + 2*i, i + 23 = 5*z. Suppose -5*b - 2*j = -14 - 32, -z*b + j + 42 = 0. Calculate the greatest common divisor of b and 70. 10 Let b = -11 - -15. Suppose 4*r = -4*q + 4 - 0, 0 = 4*q + b. Let i be (-2)/(10/(-4) + r). What is the greatest common factor of i and 4? 4 Let p(y) = 2*y**2. Let d be p(-1). Suppose -2*g + 4*i + 24 = -0*i, -d*i = -3*g + 28. Calculate the greatest common factor of g and 40. 8 Suppose -11*g - 168 = -15*g. What is the highest common factor of 28 and g? 14 Suppose -3*m = -5*m + 6. Suppose -m*q + 10 = -71. What is the greatest common divisor of 3 and q? 3 Suppose 0 = 5*j + 5*s - 90, -j + 0*j + 4*s + 23 = 0. Calculate the highest common factor of j and 38. 19 Let r(h) = -h + 18. Let z be r(0). What is the highest common divisor of z and 162? 18 Suppose -5*z - 5 = -5*p, -z = p + 1 - 2. Suppose -u + 15 = -p. Let l = -5 - -9. What is the greatest common factor of u and l? 4 Let v(f) = 3*f**2 - 2*f + 1. Suppose -6 = 4*j + 5*c, -j + c = -c - 5. Let l be v(j). Calculate the greatest common divisor of l and 10. 2 Suppose 0 = 2*s - 0*s - 4. What is the greatest common divisor of s and 14? 2 Suppose -7*g - 32 = -4*r - 2*g, r - g = 7. Suppose 2*m = m - 2*z + 3, -3 = -m + 4*z. Suppose 13 = m*x - 14. What is the greatest common divisor of r and x? 3 Let u be 2 + -1 + (-25)/(-5). Calculate the greatest common divisor of 18 and u. 6 Suppose -2*y + 2*o + 16 = -o, 5*y - 4*o - 33 = 0. What is the greatest common factor of y and 40? 5 Let a = 4 - 2. Let x(w) = w**3 + 9*w**2 - 7*w + 4 - 2*w**a - 2*w. Let g be x(-8). Calculate the greatest common divisor of 4 and g. 4 Let y be (4 + -18)/((-4)/6). Calculate the highest common divisor of y and 35. 7 Let o = -67 + 113. What is the greatest common factor of 23 and o? 23 Let s be 50 - ((-8)/4 - 2). Calculate the greatest common divisor of s and 6. 6 Let a(u) = u**2 + 4*u - 2. Let q be a(-6). What is the greatest common factor of q and 15? 5 Let m = 332 + -196. What is the greatest common factor of m and 8? 8 Let d be (-26)/(-1) + 2 + -4. Suppose d = -0*o + 2*o. Calculate the greatest common factor of o and 8. 4 Let c be 2 + 52 + -3 + 0. Calculate the greatest common divisor of c and 17. 17 Let j(z) = 5*z**2 - 2*z - 1. Let o be j(-1). Let s = o - 13. Let f = s - -13. What is the greatest common divisor of f and 18? 6 Let s be (-2)/(-5) + (-552)/30. Let m be (3 + 2)*s/(-5). Let l = -98 - -143. What is the greatest common divisor of m and l? 9 Let b be (1 - (44 + 3))/(-1). Calculate the greatest common divisor of 69 and b. 23 Let n be 24/56 + 2038/14. Suppose 2*v - n = 104. What is the highest common factor of v and 50? 25 Suppose 0 = -9*z + 4*z + 55. Let d = z - 21. Let c = d + 76. What is the greatest common divisor of 6 and c? 6 Let y = 75 - 54. Suppose 13 = f - y. What is the highest common divisor of f and 17? 17 Let h(g) = -5*g**2 + 6*g - 1. Let y be h(-6). Let z = -96 - y. Calculate the greatest common divisor of z and 11. 11 Let c = 20 - -20. Let m(n) = n**3 + 6*n**2 + n. Let r be m(-5). What is the highest common factor of c and r? 20 Suppose -5*h = 3*s + 2*s, 2*h = 2*s - 4. Let w be (8/6)/(h/(-3)). Suppose c - 31 = -o, w*o - 59 = -5*c + 95. What is the highest common factor of 10 and c? 10 Let f = -3 - -12. Let y be 36/10*5/1. Calculate the highest common divisor of f and y. 9 Let a be -3*(-1)/((-6)/4). Let c be 12*-1*a/2. Let o(r) = -r**3 - 2*r**2 - r. Let q be o(-4). Calculate the highest common divisor of c and q. 12 Let t be (-48)/(-14)*(-1 + 8). Let p be (-2 - 1)*(-4)/6. Suppose p*s - 9 = 3*m, -s - 3 = -2*m - 5. What is the highest common factor of t and s? 12 Suppose 2*s - 156 = -4*t, 54 = -0*s + s - 4*t. Calculate the highest common factor of s and 14. 14 Let r(j) = 6*j + 2*j**3 - 5*j**3 + 2*j**3 + 6*j**2 + 4 - 2. Let h be r(6). Calculate the greatest common divisor of 19 and h. 19 Suppose -7*u = -12*u + 15. What is the highest common factor of 3 and u? 3 Let d = 0 - -52. Calculate the greatest common divisor of d and 416. 52 Let y be 9/(-3)*(-74)/6. Let q = y - -26. Let t be (-432)/(-60) - 2/10. Calculate the greatest common factor of t and q. 7 Let b(n) = n - 20. Let t be b(13). Let r(y) = y**3 - 5*y**2 + 2*y + 1. Let k be r(5). Let d = k + t. What is the highest common factor of 4 and d? 4 Let a be (-15)/(-3) + (-1)/1. Suppose -3*v = -v - a. Let w be (4/2)/(2/v). What is the highest common factor of 8 and w? 2 Suppose 84 = -7*k + 3*k. Let g = k + 28. Calculate the greatest common factor of 77 and g. 7 Let y be (-68)/(-6) - (-2)/3. Let r be 12/1 + (0 - 0). Calculate the greatest common factor of r and y. 12 Let z(m) = -2*m - 13. Let r be z(-7). Suppose 5*u - 15 = 2*u. Suppose 4*s - 34 = -q, 2*q + 44 = 5*s - u. What is the highest common divisor of r and s? 1 Let f = -15 - -19. Let s be (0 - -6)*12/18. What is the highest common factor of f and s? 4 Let s be (-30)/4*(12/(-4) + -13). Calculate the greatest common factor of s and 15. 15 Suppose 36 = -0*v - 4*v + 4*c, -3*v - 2*c = 7. Let t = v + 5. Suppose t = 5*u - 171 - 149. Calculate the greatest common factor of 8 and u. 8 Suppose -u + 82 = 5*q - 3*u, -74 = -3*q - 5*u. Suppose -v - q = -4*v. What is the highest common divisor of v and 6? 6 Let q(c) = 68*c**2 - c. Let u be q(-1). Let t = -17 + u. Suppose 171 + 193 = 14*s. Calculate the highest common divisor of t and s. 26 Suppose 16 = 4*f + 3*x - 17, -f - 5*x = -21. Calculate the greatest common divisor of f and 9. 3 Suppose -5*c - 6*y = -y - 645, 2*y - 518 = -4*c. Suppose 5*a = -d + 93 + c, -a = 2*d - 401. Let t = 215 - 197. Calculate the highest common factor of d and t. 18 Let h(j) = 16*j - 5 + 11 + 6. Let t be h(-8). Let b = 164 + t. What is the highest common factor of 6 and b? 6 Let o = 55 + 2. Let p = -41 + o. What is the greatest common divisor of p and 16? 16 Suppose 4*t - w = 383, 2*t + 2*w - 3*w = 191. Suppose 2*q - 48 = -2*q. What is the greatest common factor of q and t? 12 Suppose 0 = -t + 12 + 8. Let p be 352/t + (-4)/(-10). Calculate the highest common divisor of p and 2. 2 Let q = 42 + -20. Calculate the highest common divisor of 132 and q. 22 Let t = -8 + 10. Suppose -6*n = -2*n - 4*s - 28, -t*n + 34 = 3*s. Calculate the greatest common divisor of n and 77. 11 Suppose -2*l = -3*l + 5*t + 28, l - 19 = 2*t. Calculate the highest common divisor of 143 and l. 13 Let q be 1 + -2 + 37 + 3. Let v = q + -27. Suppose 0 = 2*f - 6 - 30. Calculate the greatest common divisor of v and f. 6 Suppose 0 = 3*x - p + 28, -3*x - 2*p - 2*p - 8 = 0. Let m = x + 14. Calculate the greatest common divisor of 3 and m. 3 Let i = -6 - -5. Let o be (-3)/i - 134/(-2). Calculate the greatest common factor of 14 and o. 14 Let y(k) = -2*k + 52. Let r be y(22). Calculate the greatest common factor of 32 and r. 8 Let o(u) = -92*u**3 + u**2 + u - 1. Let q be o(-1). Calculate the highest common divisor of 13 and q. 13 Suppose -4*j + 108 = -4*k, 0 = -3*j - 3*k - 2*k + 57. Suppose 3*s - 30 - 42 = 0. Let r be -48*(-15)/s*2. Calculate the greatest common divisor of j and r. 12 Let a
{ "pile_set_name": "DM Mathematics" }
o(c). Suppose 527 = 6*h - m. Is 11 a factor of h? False Suppose -2*k + 9*k = -112. Is (k/4 - -3)*-159 a multiple of 13? False Suppose -10908 = -2*h - 7*h. Suppose -2*n - h = -4*l, -3*n + 266 + 1249 = 5*l. Is 32 a factor of l? False Let f(z) = -8*z**2 + 25*z + 115. Let u be f(-5). Is 16 a factor of 10/u*-6 - (-1566)/7? True Let r = 16368 - 7493. Is 210 a factor of r? False Let u(n) = n**3 + 2*n**2 + n + 1. Let j be u(-2). Let x be (-32 - (5 + j))*-1. Does 9 divide -1 - (3*x)/(-4)? False Let h be 101643/969 + 2/19. Let f be (-2 - -3) + 4*62. Let s = f - h. Is 12 a factor of s? True Suppose 4*r - 12 = 2*r - p, -p = -2*r + 16. Suppose -3294 = -r*y + 619. Does 13 divide y? True Suppose 219*x - 149930 = 133018. Is x a multiple of 2? True Let j = 10691 + -8582. Does 12 divide j? False Let l(i) = -216*i**3 - 2*i. Let x(h) = -2*h**3 - h**2 + h + 2. Let r(b) = l(b) - x(b). Let w(s) = s + 1. Let j be w(-2). Is 12 a factor of r(j)? True Suppose -q + c + 5043 = 0, -5*q - 5*c + 25191 = -18*c. Is q a multiple of 8? False Suppose -459 = -129*p + 126*p. Let m = p + 151. Is 36 a factor of m? False Let u be (-1)/(14/(-4)) + 135476/154. Let f = u + -807. Is f a multiple of 3? False Suppose 122*w - 123*w = -8. Suppose -2*v = c - 83, 9*c + 4*v - 73 = w*c. Does 7 divide c? False Let x = -6257 + 9281. Is x a multiple of 144? True Let l = -121 + 133. Suppose -3*t + 328 = 2*h, 4*h + 5*t - 664 + l = 0. Let z = h + -94. Is z a multiple of 44? False Let h = -10909 + 25413. Is 148 a factor of h? True Let y = 682 - -24863. Does 65 divide y? True Let h = -34 - -30. Is 31 a factor of ((-2)/h)/((-4)/3392*-2)? False Suppose -30 - 104 = -2*s. Suppose -4*o + 1088 = 2*r, -r - s = o - 338. Does 21 divide o? True Suppose -2*x = -4*x - 5*u - 5, 2*x - 4*u - 22 = 0. Suppose 4*q - p = -0*p + 46, 3*q - 46 = -x*p. Is (306/(-15))/(q/(-80)) a multiple of 34? True Let w = -1442 - -2307. Suppose -428 = -o + s, -2*o + 7*s = 2*s - w. Does 13 divide o? False Suppose -31*o - 14410 - 10590 = -51*o. Does 125 divide o? True Let b(m) = 216*m**2 - 2*m - 2. Suppose -4*z - 12 = 8*z. Is 24 a factor of b(z)? True Let w(o) = o + 3*o - 5*o - 19. Let c be w(-7). Let s = 120 + c. Is s a multiple of 12? True Let i(v) be the third derivative of v**6/120 - v**5/15 - 11*v**4/24 + v**3/6 - 10*v**2. Let b be i(6). Suppose b*x - 98 = -28. Is 3 a factor of x? False Is (-4)/6 - 4*(-11)/(-99)*-16233 a multiple of 6? False Let t = 221 - 194. Suppose 21*w - t*w = -84. Does 14 divide w? True Suppose 0 = -341*y - 56635 + 862418. Is y a multiple of 5? False Let y be 2030/(-56) - ((-2)/8)/1. Let m = -33 - y. Suppose i - 231 = -4*g, -m*g = -8*i + 4*i - 178. Is 8 a factor of g? False Let k(g) = -2*g**2 + 75*g - 1. Let z be k(35). Suppose 0 = -15*c - z + 1089. Is c a multiple of 13? False Let o = -272 - 169. Let h = o + 509. Is 34 a factor of h? True Suppose -3*y + 1244 = 4*o, o + 3*y - 7*y = 292. Let j be (-969)/19*4/(-6). Let t = j + o. Is 57 a factor of t? True Let d = -1691 + 3214. Is 35 a factor of d? False Let d(s) = 6*s**2 + 82*s - 5392. Is d(-77) a multiple of 18? True Let x = 53 + -58. Let v(a) = -5*a - 18. Let o be v(x). Suppose 0 = -o*b + 269 + 32. Is b a multiple of 4? False Let i = 882 + -94. Is 42 a factor of -3 + i + -1 + 3? False Let y be (-20 + 28)*(-1)/((-4)/(-5)). Let i(h) = 4*h + 52. Let r be i(y). Suppose x - r*x + 792 = 0. Is 12 a factor of x? True Let f be 9/3*(-3)/(-3). Suppose 0*u + 3*c = 2*u - 89, -c + 161 = f*u. Let l = 100 + u. Does 38 divide l? True Suppose 371*n = 601*n - 295*n + 1234220. Is n a multiple of 94? True Let f = 340 + -145. Let y = -23 - -21. Is 615/f + y/13 even? False Let b = -16165 - -34309. Does 252 divide b? True Suppose 5*l = -5, x = -3*x + 5*l + 657. Let g = x + -116. Does 13 divide g? False Does 73 divide -17338*1/(-6)*(-1 - (19 + -23))? False Is 2518/8 - (3 + 247/(-76)) a multiple of 5? True Suppose 0 = 8*h + 116 - 28. Let b(i) = -5*i + 55. Is 10 a factor of b(h)? True Let s(z) = 1396*z + 4522. Does 7 divide s(37)? False Suppose -34*b + 26306 = -129647 - 338407. Is b a multiple of 30? False Let q be ((-2)/4*(27 + -27))/(-1). Suppose 2317 = 3*k + n, q = 5*k + n - 0*n - 3861. Is 13 a factor of k? False Let m = 104 + -88. Let k be (-1774)/(-6) - m/(-48). Suppose -k = -4*w - 4*j, 3*w - j - 228 = 2*j. Is 25 a factor of w? True Suppose 6*a - a + 10 = 0. Let j(m) = 2*m + 3. Let l(z) = 45*z + 7. Let u(y) = 4*j(y) - 2*l(y). Is u(a) a multiple of 18? True Let n = -6739 + 10839. Suppose 0 = 4*k - b - n, 1359 = k - 4*b + 319. Does 16 divide k? True Suppose -18*x = 42*x - 408660. Is 25 a factor of x? False Let x(o) = -1199*o - 26. Let h be x(-4). Let u be 2/6*h/2. Suppose 8*y = -155 + u. Is 16 a factor of y? True Suppose 4 = j + 14. Let d = 90 - j. Is d a multiple of 10? True Let f(s) = s + 319. Let u be (-1 + 1)*1/2*-2. Let d be f(u). Suppose 10*z - d = -z. Is z a multiple of 15? False Let y(b) = -197*b - 1668. Is y(-10) a multiple of 2? True Suppose 10*t - 30430 = -7*t + 7*t. Is 4 a factor of t? False Let q(o) = 111*o - 89. Let h(n) = -226*n + 177. Let x(s) = -4*h(s) - 9*q(s). Is 15 a factor of x(-14)? False Let q(f) = 43*f**2 + 36*f - 179. Does 21 divide q(16)? False Let f be 6*6/(-24)*152/(-6). Suppose j + 33 = f. Suppose -j*g + 2*w - w = -390, 3*g + w = 226. Is g a multiple of 9? False Let p = 34 - 12. Suppose -p = -5*a + 58. Let q = 3 + a. Is 2 a factor of q? False Suppose -4*a + 3*a - 8*a = 0. Suppose 2*h - k - 11 = a, h + 19 = 5*h - 5*k. Does 34 divide ((-10)/h)/((2/(-84))/1)? False Let v be (-1)/(-11) + -3*(-177)/(-33). Is 14 a factor of (v/24)/(-1 - (-4629)/4635)? False Let l be (205 - 0 - -1)*(-5)/10. Let x = -90 - l. Is x a multiple of 2? False Let b be 30/(-72)*-44 + (-1)/3. Let o(l) = -15*l**2 + b - 5*l - 14*l**2 - 11*l**2 + 44*l**2. Does 28 divide o(5)? False Suppose 1556*w = 1593*w - 580234. Is w a multiple of 95? False Let c = -1926 - -5536. Does 4 divide c? False Suppose 3*d + 383 = s, d = s - 3*s + 780. Suppose 2*w = -3*b + 1097, 10*b = -w + 14*b + 576. Suppose 7*x - w = s. Is 27 a factor of x? True Let c = 245 + -127. Let p = c - -134. Suppose -d + 3*z = -61, 3*d - p + 49 = 5*z. Is d a multiple of 19? True Let o = 16034 - 15945. Is 3 a factor of o? False Let g(h) = 26*h**3 + 3*h + 2. Let d be g(-1). Let o = 31 + d. Let k(s) = 13*s + 2. Is 23 a factor of k(o)? False Suppose -w + 5*k + 2794 = 0, 2*w - k - 3493 = 2095. Is w a multiple of 10? False Let d = -2 - -17. Suppose -13*c + d*c = 298. Let h = -85 + c. Is 16 a factor of h? True Let p be 3/(-27) + (-31605)/(-135). Suppose 9*w - 11*w = -p. Does 9 divide w? True Let a(r) = -293*r + 14932. Is a(-80) a multiple of 181? True Suppose 0 = 3*k + 6, 127*d - 18950 = 125*d - 5*k. Does 20 divide d? True Suppose 5191008 = 261*t + 120*t + 664728. Is t a multiple of 120? True Let o be (-2)/(40/(-15) + 2). Let w(u) = 0*u**o + 16*u - 12*u**2 - 23*u - 18 - u**3. Is 8 a factor of w(-12)? False Let t be -24*39/(-6)*(-64)/(-24). Suppose -6*p + 22*p = t. Suppose -33*g = -p*g - 231. Is g a multiple of 33? True Let i(a) = -13*a - 29. Let u be i(-6). Let o = u + -53. Let v(f) = -f + 2. Is v(o) a multiple of 3? True Let j(m) = 43*m**3 + 5*m**2 - 19*m - 7. Does 21 divide j(5)? False Let z = 38298 - 24278. Is 38 a factor of z? False Suppose -1101 = 297*z - 300*z. Let h = z - -39. Does 6 divide h? False Suppose -2*z = -3*f - 21, -f + 4*z - 9 = 8. Is 16 a factor of 202 - -6 - ((-2 - f) + 1)? False Suppose -458500 = 1733*x - 1758*x. Does 20 divide x? True Does 17 divide 34*7*(-2811)/(-42)? True Suppose 4*u = 2*m - 34, 4*u + 16 = 4*m - 36. Suppose 7*c + m*c = 1072. Suppose c*s - 71*s + 1364 = 0. Is 54 a factor of s? False Suppose 5*g + 8093 = h, 0 = 5*h + 261*g - 264*g - 40311. Is h a multiple of 79? True Let w(g) = -g**3 + 3*g**2 - 5*g + 8. Let x be w(4). Let r be 940/x - (-6)/(-14). Let c = 0 - r. Is 8 a factor of c? False Let g(q) = -9*q + 28*q + 3 - 152 + 18. Is 3 a factor of g(11)? True Suppose -285*z = -295*z + 80. Is z - 12 - (-7 - 0) - -578 a multiple of 47? False Let w(a) = -16*a**2 - 103*a + 51. Let t be w(-13). Let p(c) = -20*c + 2. Let v be p(3). Is (t/5)/(-3) + v/(-145) a multiple of 11? True Suppose 0 = 17*n - 49355 - 154628. Is n a multiple of 169? True Let n(i) = 16*i**2 + 4*i - 5*i + 4*i + 7. Suppose 9*h + b + 13 = 5*h, 8 = -3*h
{ "pile_set_name": "DM Mathematics" }
8? -12061403 26023536 (base 7) to base 8 10777453 Convert -3552593 (base 10) to base 13. -975035 11303012320 (base 4) to base 6 52325144 542a5 (base 11) to base 14 20a6a What is 320115 (base 6) in base 3? 1022121202 Convert b47c00 (base 13) to base 9. 7835074 What is -1021121000020 (base 3) in base 16? -a63bc Convert -811336 (base 12) to base 3. -10210022010120 Convert 310512142 (base 7) to base 2. 1000101011100100111011011 Convert 3608880 (base 9) to base 4. 13131111201 What is -3483926 (base 12) in base 16? -9a816e What is 73b5b8 (base 13) in base 3? 12002200021120 Convert -650306 (base 7) to base 15. -23735 What is -1882648 (base 12) in base 6? -302152132 -18bc68 (base 14) to base 13 -2496c7 925c3 (base 14) to base 15 6e623 What is -100011010001010100 (base 2) in base 16? -23454 What is a654ad (base 15) in base 16? 78c7ae Convert 530303 (base 9) to base 6. 10431050 What is -42252233 (base 6) in base 12? -4b7079 -101302410 (base 6) to base 9 -3256716 Convert -24002240 (base 5) to base 6. -4410114 What is -23312122 (base 7) in base 8? -7652746 What is -1469220 (base 10) in base 3? -2202122101120 What is -4332176 (base 8) in base 7? -12601565 -6244452 (base 8) to base 10 -1657130 Convert 16a9300 (base 11) to base 16. 2c32eb What is 311024311 (base 5) in base 16? 135700 Convert 6074 (base 15) to base 12. b947 What is -10001000010011010000 (base 2) in base 5? -120331123 -3b5816 (base 13) to base 14 -296d02 Convert 735458 (base 14) to base 3. 21022212101101 258733 (base 12) to base 16 96717 Convert -10301123 (base 4) to base 7. -110663 -1340125 (base 6) to base 7 -432206 -1ca276 (base 15) to base 6 -50010550 -340523 (base 8) to base 6 -2244311 -24c975 (base 16) to base 7 -26330526 Convert -2afa00 (base 16) to base 15. -3a97c7 Convert -100110101010101100 (base 2) to base 13. -57121 What is -16de9 (base 16) in base 6? -2001401 What is 2212122001 (base 3) in base 16? dd11 100112011102220 (base 3) to base 14 95a94c -102112000 (base 3) to base 13 -3a8c 21455221 (base 7) to base 4 13002220210 183479 (base 10) to base 6 3533235 What is 419961 (base 13) in base 10? 1535106 131535324 (base 6) to base 7 31120324 Convert -432122 (base 7) to base 11. -51538 Convert e1f61 (base 16) to base 15. 134377 Convert 566650 (base 7) to base 6. 2054444 Convert 233424341 (base 5) to base 13. 2b91b4 38558 (base 10) to base 14 100a2 What is 1284745 (base 9) in base 12? 2a037b What is -3321221 (base 4) in base 2? -11111001101001 Convert 4373064 (base 8) to base 5. 300132030 What is 453395 (base 13) in base 10? 1635197 What is 18575d (base 16) in base 14? 2d74cd What is -5a348 (base 11) in base 2? -10101001110010010 -8c8986 (base 14) to base 13 -cb80bc 111430433 (base 5) to base 16 79cb4 Convert -120212022010 (base 4) to base 2. -11000100110001010000100 Convert 3a18b (base 16) to base 2. 111010000110001011 260ef4 (base 16) to base 8 11407364 What is 10232000031 (base 4) in base 16? 12e00d 54011311 (base 6) to base 5 401303211 What is 321226 (base 9) in base 13? 69036 Convert -bb5c6 (base 15) to base 16. -9156f 2703558 (base 9) to base 8 5510326 -11001011110011111111 (base 2) to base 16 -cbcff What is 227336 (base 9) in base 5? 13332344 -2554350 (base 6) to base 16 -2219a Convert 10936 (base 13) to base 10. 30127 Convert 871180 (base 9) to base 4. 1332300201 41c8e (base 15) to base 6 4250125 What is 500550254 (base 6) in base 4? 200031122122 -100011100010100000 (base 2) to base 6 -3041532 Convert 151245121 (base 6) to base 9. 5826884 2301126 (base 8) to base 6 21205050 1002371 (base 8) to base 15 530b2 What is -5745100 (base 10) in base 16? -57a9cc Convert -133455523 (base 6) to base 4. -22102300023 Convert 3143551 (base 6) to base 7. 1210234 Convert -1104478 (base 10) to base 16. -10da5e 2c95b (base 13) to base 5 10210313 -10303224103 (base 5) to base 8 -51735423 Convert 14515360 (base 8) to base 13. 8c1708 What is -148318 (base 11) in base 13? -80c9c What is -22515164 (base 9) in base 15? -e5ec5a Convert -30122121000 (base 4) to base 7. -36441240 -135465 (base 7) to base 12 -13040 -386004 (base 11) to base 15 -c0366 What is -43347 (base 10) in base 2? -1010100101010011 Convert 311541 (base 8) to base 16. 19361 Convert 10514437 (base 9) to base 16. 4da331 -110110001011010 (base 2) to base 5 -1341423 Convert -25407 (base 10) to base 4. -12030333 What is -20301411 (base 5) in base 8? -503740 Convert 1011102445 (base 6) to base 14. 15509c1 -31122310201 (base 4) to base 16 -35ad21 -11202221221 (base 3) to base 11 -646a6 -1176205 (base 8) to base 3 -121121021022 Convert -401256 (base 9) to base 10. -237138 What is 1144551 (base 7) in base 14? 3b161 -2632107 (base 8) to base 3 -1101022020112 -1010011101111011111010 (base 2) to base 13 -751005 Convert -ba25 (base 15) to base 10. -39410 256a84a (base 13) to base 7 201326610 Convert -211101222022 (base 3) to base 13. -125981 What is 1350552 (base 6) in base 16? 12b84 4632631 (base 8) to base 10 1258905 What is -71f788 (base 16) in base 3? -112001110110021 Convert 20112100000 (base 4) to base 11. 1265103 What is -2155584 (base 9) in base 10? -1158862 1133651 (base 7) to base 4 202322222 Convert 20c410 (base 15) to base 4. 11330321211 What is 10132 (base 5) in base 8? 1233 225651 (base 9) to base 15 2a1b7 What is -7a692 (base 12) in base 8? -477116 What is -3222200302 (base 4) in base 3? -1210210122101 365514 (base 9) to base 5 24024301 Convert 283fd (base 16) to base 13. 5a068 -14833 (base 13) to base 5 -2214433 -413232 (base 9) to base 5 -30321020 Convert 90a5b (base 12) to base 2. 101101111011100111 Convert -145d66 (base 14) to base 11. -4438a7 Convert 4207656 (base 9) to base 2. 1000100101001100011110 10001001010100100100001 (base 2) to base 7 53150535 98bc8 (base 16) to base 15 c5573 Convert -1e255d (base 15) to base 12. -5b2274 Convert 20233131 (base 4) to base 15. a920 Convert -1305561 (base 7) to base 9. -278260 What is 3323212302 (base 5) in base 16? 6e7f69 -264786 (base 12) to base 7 -5233014 What is 105010442 (base 6) in base 12? 783a22 -133232130 (base 5) to base 8 -2460542 -884b14 (base 13) to base 2 -1100001111100100011000 Convert 2bc79 (base 15) to base 4. 202132011 -10010010010111 (base 2) to base 12 -5507 What is -216342613 (base 7) in base 2? -110010000011001000110110 -232354 (base 7) to base 12 -20161 Convert 143413034 (base 5) to base 11. 481709 -4092b (base 15) to base 10 -204566 What is -12dcb0 (base 14) in base 13? -19b1c0 20231303002 (base 4) to base 12 92222a Convert 398b1 (base 16) to base 9. 388275 What is -27a78 (base 13) in base 7? -426406 -1012021110 (base 4) to base 5 -33143231 12160440 (base 7) to base 15 1680a3 57c85 (base 15) to base 12 11595b What is -1744266 (base 9) in base 10? -974166 -51b98 (base 12) to base 11 -73521 721523 (base 9) to base 5 102140440 What is 550a9 (base 11) in base 15? 18a6e Convert 114112 (base 12) to base 9. 461425 What is 14862343 (base 9) in base 7? 120042105 648961 (base 11) to base 8 3750602 Convert 233101022 (base 4) to base 10. 193610 What is 103102301023 (base 4) in base 7? 60663136 535240412 (base 6) to base 2 100100001101011001011000 Convert -b5132d (base 14) to base 5. -3031032032 What is -313023212 (base 4) in base 12? -aa972 e6b41 (base 15) to base 4 2302212100 What is -1103132310 (base 4) in base 11? -2139a5 What is -1324121 (base 5) in base 13? -c266 What is -340003 (base 13) in base 11? -769789 4343c (base 16) to base 15 5697b Convert -2142113321 (base 5) to base 3. -22201222111222 13304100 (base 5) to base 4 200323310 What is 1173275 (base 9) in base 13? 194a11 Convert -7748 (base 12) to base 4. -3031220 What is c16ab (base 14) in base 13? 1338b1 What is -991ee (base 15) in base 4? -1312300301 What is 1451156 (base 8) in base 13? 116778 What is -12010020110 (base 3) in base 5? -11211101 -2273570 (base 8) to base 14 -12214c 110000100000101001 (base 2) to base 12 96ba1 Convert -635220 (base 8) to base 14. -57184 Convert 3252c2 (base 13) to base 16. 120b12 -582945 (base 10) to base 5 -122123240 What is -40315 (base 13) in base 7? -655414 Convert 11737101 (base 9) to base 4. 111330130231 Convert 5712984 (base 10) to base 2. 10101110010110001011000 Convert -240405 (base 8) to base 11. -56820 136073 (base 8) to base 13 18c19 2456960 (base 10) to base 12 9a5a2
{ "pile_set_name": "DM Mathematics" }
14319. Is u a composite number? True Let z be (-17731)/(-21)*(-5 + 35). Suppose 6*s - z = -3472. Is s a prime number? True Suppose -157*v = 15*v - 31580060. Is v a prime number? False Suppose -57*f = -55*f - 18. Suppose f*o - 104347 + 13456 = 0. Is o prime? True Let v = -5037 + 3030. Is (-5)/(10 + -20) + v/(-6) prime? False Suppose -4*t = -3*j - t + 27, t + 13 = 2*j. Let o be 2*(-3 - -1*16). Suppose j*m - o - 122 = 0. Is m prime? True Suppose 33*j + 2279357 = 10771346. Is j a prime number? False Let z be (20/(-15) - -1)*-15. Let s = 143 - 140. Suppose -7*o + 5865 = -3*o - d, -z*o + s*d + 7333 = 0. Is o composite? True Suppose 0 = 69*r - 2709934 - 503603. Is r composite? False Let r = -39174 + 192941. Is r prime? False Suppose 0 = -7*c + 5*c + 14. Let b(a) = a**2 + 1 - 11*a + 47*a**2 + 12 + c. Is b(11) composite? True Suppose 117379 + 21 = 10*h. Suppose -4*z - 16*z = -h. Is z a prime number? True Let q(j) = 564*j**2 + 42*j - 89. Is q(2) a prime number? True Is -25 + 1 - (-1251 + -14896) composite? True Suppose -12*f + 947531 + 4545937 = 0. Is f composite? False Let m = -5 + 9. Is (5945/20)/(((-2)/(-2))/m) a prime number? False Let t be 1/(-2)*(2 + -10). Suppose 3*n = n + 3*d + 512, -5*n = -t*d - 1273. Is n a prime number? False Suppose -5*x - 4*w = -9886, -4*w - 6526 - 1390 = -4*x. Let g = 2855 - x. Is g composite? False Let b(z) = 5768*z - 423. Is b(7) composite? False Suppose -v + 4*v = 12. Suppose 0 = l - 4*p + 3*p + 7, 0 = -2*l - v*p + 10. Is (-1)/l + (-4010)/(-3) composite? True Suppose -1282142 = -49*u - 215461. Is u composite? True Let b(i) be the third derivative of -1/4*i**4 + 16*i**2 - 1/60*i**5 - 7/6*i**3 - 11/120*i**6 + 0 + 0*i. Is b(-2) prime? True Suppose 26*r - 24*r = -4*a + 74948, -4*r = -12*a + 224844. Is a a prime number? False Suppose 2 = -4*h + 22. Suppose 3*s = -k + 13, -5*k + 17 - 8 = s. Suppose 5*j - s*d = 6579, -h*j + 2*d = -d - 6583. Is j composite? False Let i be 2/(-9) - 2*316/72. Let k be 22/10 - i/(-45). Suppose -2*d - 13 + 5 = 0, -k*b + 1574 = -d. Is b prime? False Let g = -345892 - -491883. Is g composite? False Let y(s) = 3*s**2 - 25*s + 13. Let b be y(8). Suppose -34 = -5*w + 3*w + b*z, 0 = w - 5*z - 22. Suppose 0 = -w*h + 16*h - 1484. Is h a composite number? True Suppose 120265 = 3*a - 5*k, -4*k = a + k - 40115. Is 1/(a/(-10025) - -4) a composite number? True Let r = -8083 + 13554. Is r a composite number? False Suppose -3*h = 4*y - 18236, -2*y - 2*y = -3*h + 18196. Let o = -436 + h. Suppose a - 6 = 4*a, 2*z + 5*a = o. Is z a prime number? False Suppose -30*m + 254031 = 2*i - 31*m, 2*m = -10. Is i prime? False Suppose 131*a = 136*a - 15. Suppose -a = 4*v - 5*v. Is 6641/v + (-52)/(-39) a composite number? True Let h be 10163*4 + (-70)/10. Suppose 3*m - 2*u = h, -2*m + 27097 = -2*u + u. Is m prime? False Let n(k) = -1429*k + 120. Let o be n(-6). Let d = 6697 + o. Is d a composite number? False Let n be (-39)/5 - (-3)/(-15). Let q be ((-60)/8)/(12/n). Suppose -4*b + z + 2*z = -2815, -698 = -b - q*z. Is b a prime number? False Let u be 2286 + -5*(0 - 1). Suppose 5*j - 11384 - u = 0. Is j a prime number? False Let g = 42 + -42. Suppose 0 = -g*x + 4*x. Let o(b) = b**3 - b**2 + 319. Is o(x) composite? True Suppose -1685597 = -8*u - 3*y, 5*y - 62 + 27 = 0. Is u a prime number? False Suppose 23*d - 28 - 18 = 0. Suppose 3*h - 20917 = -d*x, 3262 = 2*h - 5*x - 10670. Is h prime? True Let r = 435644 + -134333. Suppose -455*v = -464*v + r. Is v prime? True Suppose -20*l = -31*l + 1263141. Let h = l - 71926. Is h composite? True Let k(u) = 3*u**3 - 13*u**2 - 10*u + 3. Let c be k(5). Suppose 3*i - 72088 = 7*y - 12*y, c*y + 72096 = 3*i. Is i composite? True Let x be (-4*419)/(10 - (-210)/(-20)). Suppose x = 5*z - 2083. Is z composite? False Let d(h) be the first derivative of 446*h**3/3 - 21*h**2 + 203*h + 216. Is d(6) prime? True Suppose -7*h = 21*h - 10581004. Is h prime? False Suppose v = -2*j + 154, -8*v = -6*v - 2*j - 302. Let c = 267 - v. Suppose 3*u - c - 62 = 0. Is u prime? True Suppose 13124 = 4*c - 5*u, -5*u + 12547 - 2669 = 3*c. Let m = c + -2250. Let f = -495 + m. Is f a composite number? False Let l = 119747 + -79464. Is l a composite number? False Let i = -23 - -3382. Is i a prime number? True Let f = 907 - -2020. Is f a prime number? True Let n = -83145 + 126240. Suppose -n = -30*p + 8175. Is p a prime number? True Suppose 3*y - 2*g = 21, -5*g + 3*g = 2*y - 14. Suppose -2*x - y + 15 = 0. Suppose -6 = 3*l, -2*l = x*h - 511 - 1297. Is h a prime number? False Let h(n) = n + 27. Let g be h(-14). Let z(o) = -o + 16. Let x be z(g). Suppose -x*d + b + b + 1889 = 0, 3*b = -3*d + 1899. Is d a composite number? False Suppose -1091*m = -1104*m + 29003. Is m a composite number? True Suppose 6 = 3*m, 2*m = 4*f - 0*f - 8. Suppose -4*w = -f*s + 1441, w + 1174 + 743 = 4*s. Is s composite? False Let n be (-1495 - 13)/((-15)/(-6) + -2). Let x = 53675 + n. Is x a prime number? False Suppose 9*c - 2*c + c = 67880. Is c a composite number? True Suppose -2*q + 34588 = -8840. Let v = q + -15041. Is v composite? False Suppose n + 23 = 2*h - 38, 5*h = 3*n + 150. Suppose -h = -3*j + 9. Is 7/(j/830) - -4 a prime number? True Let d be (2/5 - 1)/(214/(-4280)). Suppose d*w + 5*w = 62747. Is w prime? True Let y(r) = 3*r**3 + 92*r**2 + 282*r - 58. Is y(-23) a composite number? False Let c = 20 + -13. Suppose -43652 = -0*f - c*f. Suppose 6*j - 10*j + f = 0. Is j a prime number? True Suppose 0 = -4*i + 5*p + 14, 4*i - 1 + 3 = -3*p. Suppose 0 = -a + i, -5*c + 9*a + 2227 = 6*a. Is c a prime number? False Suppose 3*g - 12801 = -3*q, q - 10993 = -3*g + 1814. Suppose 0 = 2*v + 2*x - 16228, -5*x = 4*v - 28183 - g. Is v composite? False Suppose 0 = -2*y - 56*a + 51*a + 12273, 0 = -5*y - 5*a + 30690. Is y a composite number? True Let u = 7987 + -17144. Let w = -5506 - u. Is w prime? False Let m = 486457 - 272058. Is m composite? False Suppose 2*c + 3*u - 9 = 0, -2*c + 5 = 5*u - 10. Suppose c*t - 3*q + 93 = t, 4*t + q = 339. Let g = 489 + t. Is g a prime number? False Let l(z) = z**3 + 4*z**2 + 3*z - 4. Let i be l(-3). Let s be (-22)/(-8) - (-3)/i. Suppose -2*v = -s*f + 612, v - 480 = -3*f + 422. Is f a prime number? False Suppose 3*l - 7850 = -3*v - 98, -3*l + 7749 = 4*v. Suppose 438 - l = -7*i. Is i prime? True Suppose -32 = -9*t + 4. Suppose 0*n - 23 = -n + t*y, -2*n = -y - 11. Suppose -c + 0 + 4 = 0, -2*c = n*l - 2255. Is l a prime number? False Let x = 34 - 30. Suppose 4*w - 2812 = 2*w + 3*d, -x*d = -3*w + 4217. Is w a prime number? False Suppose -1170*w - 9233497 = -2358*w + 1175*w. Is w a composite number? True Suppose -2*c - c - 42515 = -5*r, -2*r + 17020 = -4*c. Let b = r + -16160. Is (3/(-4))/(5/b) composite? True Let r = 2206 + 28291. Is r prime? True Suppose 9348038 = 113*w + 188*w - 10389435. Is w a composite number? True Suppose 120*g + 3*c - 576474 = 117*g, -3*c = g - 192152. Is g prime? True Let u = -137944 - -349503. Is u composite? False Suppose -4*u = 20, 2*t + u = 19 + 28. Suppose 19*n - t*n + 22085 = 0. Is n a prime number? False Suppose 4*k + g = 388088, -49*g + 485113 = 5*k - 47*g. Is k a prime number? True Suppose 58*j - 88723 = 41*j. Suppose j + 22499 = 2*c. Is c prime? True Let u be 2/4*-4*9/(-6). Let a be ((-1)/u - -1) + 10928/(-3). Let h = a - -5399. Is h prime? False Let w = -158974 - -379979. Is w composite? True Let h = -293 + 293. Suppose v = h, -4*m + 55869 = -m + 5*v. Is m prime? False Suppose -q = -z - 8, 19*q + z - 10 = 17*q. Let n(r) be the first derivative of r**4/4 + 7*r**3/3 + 2*r**2 + 5*r - 6. Is n(q) a composite number? True Suppose 0 = -i - 5*a - 6689 - 5541, -i - 12245 = 2*a. Let l = i + 27440. Is l a composite number? True Let f(g) = 1104*g**2 + 339*g + 1. Is f(-20) a composite number? False Let d be (-75)/(-225)*(0 + 69). Let s(j) = -j**2 + 49*j - 7. Is s(d) prime? False Suppose 20*j + 0*j = 1040. Suppose -9822 = j*w - 58*w. Is w prime? True Let l = 36327 - 15058. Is l a composite number? False Suppose 4*n - 3*c - 33 = 0, 4*c = -18*n + 50*n - 124. Suppose 3*b + 15 = 8*b. Is 6 - b - (n - (1168 + -3)) prime? False Let q = 2028897 - 1348138. Is q prime? True Suppose 0 = 34*w - 1360829 - 6626349. Is w a composite number? False Suppose 0 = -100*q - 39*q + 11782057. Is q a composite number? True Let g be (189/
{ "pile_set_name": "DM Mathematics" }
*y**2 + 171*y**3 to x*y + d*y**2 + u + l*y**3 and give l. 491 Rearrange 6*j**2 + j**3 - 3 - 3*j**3 + 0*j**2 + 2*j - 11*j**2 + 4*j**2 to the form v*j**3 + d*j + r*j**2 + z and give z. -3 Rearrange (2 - 11*a - a**2 + 163*a**3 - 8 - 165*a**3)*(-1 + 1 + 2*a) to f + u*a**4 + p*a**2 + m*a**3 + i*a and give u. -4 Express 7 - 8 + 3*v**2 + v**4 + 4 - v as u*v + p*v**3 + t + m*v**4 + w*v**2 and give w. 3 Express 3 + 4 - 1 + 1 + 4*d in the form y*d + g and give g. 7 Rearrange -35 - 28 + 96 + 195*m - 33 to x + h*m and give h. 195 Rearrange 7*v - 2*v**2 + 3*v + 9*v - 12*v to the form u*v + d*v**2 + y and give d. -2 Express -q + 19 + 12 - 25 in the form o + b*q and give o. 6 Rearrange (414 - 67 - 94)*(4*z + z - 4*z)*(-2*z**3 + 3*z**2 - 3*z**2) to q*z + h*z**3 + u*z**2 + y*z**4 + j and give y. -506 Express (-n**2 - n**2 + 5*n**2)*(-68 - 256 + 49)*(4*n + 3*n - 5*n) as o*n + g*n**2 + p*n**3 + c and give p. -1650 Rearrange 8 - 2*j**4 - j + j**3 - 12*j**2 - 1 - 8 to the form k + z*j**3 + u*j**2 + x*j**4 + v*j and give z. 1 Rearrange -2*k - 19*k**4 - 24*k**4 + 2 + 44*k**4 - 2*k**2 + 3*k + k**3 to l*k**4 + a*k**2 + f + o*k**3 + w*k and give w. 1 Express 84*o - 198*o - 1911*o + 55*o - 462*o in the form b*o + n and give b. -2432 Express -3*s**2 - s**2 - 16*s - 9*s**2 + 3*s**2 + 3*s**2 in the form f + y*s + a*s**2 and give y. -16 Express 2*l**3 - 40*l**2 - 4*l**3 + 9 + 45*l**2 in the form n*l + u + v*l**2 + o*l**3 and give o. -2 Express (-4*j - 2*j + 5*j)*(-9 - 38 + 19)*(4 + 3*j - 4) as s + l*j + k*j**2 and give l. 0 Express -1 + 1 + 1232*s - 1254*s as m + r*s and give r. -22 Rearrange (d - 1 + 1 + (-2 - 2*d + 2)*(4 + 1 - 3) - 3 + 3 + 2*d + 80 - 195 + 43 - d)*(2 - 6 + 21) to the form w*d + v and give v. -1224 Express 0 - 71*o**3 - 1 + 117*o**3 + o**4 in the form y*o**3 + i*o**4 + x*o + b*o**2 + q and give i. 1 Express 3 + 6 + 9*x - 3*x**4 - 3*x + 4*x**3 - 8 in the form i*x**2 + z*x**4 + p*x + a*x**3 + t and give z. -3 Rearrange -309*q + 877*q + 3 - 291*q - 307*q to d*q + k and give d. -30 Express (0 - 5 + 1)*(-3*k + k + 5*k)*((-2*k - 2*k + 6*k)*(-4*k + 4*k + 3*k) - 4*k + 4*k + 10*k**2) as j*k + u*k**3 + d + m*k**2 and give u. -192 Rearrange (0*j**2 + j**2 + 4*j**2)*(-3*j + 4*j - 4*j + (1 - 3 + 4)*(-2*j + 4*j + 2*j)) to s*j**2 + b*j**3 + o + x*j and give b. 25 Express -145*c + 5*c**2 + 18*c**2 + 21*c**2 + 153*c in the form m + p*c + i*c**2 and give p. 8 Rearrange -2*o**2 + 12*o + o**2 - 1 - 3*o - 7*o to b + y*o + m*o**2 and give b. -1 Rearrange -52*t + 17*t + 12*t + 7*t + 267*t**2 + 15*t to the form x*t**2 + i*t + a and give x. 267 Rearrange (-47*b**4 + 378*b**4 - 43*b**4 + 255*b**4)*(1 - 3 + 1) to v*b + n*b**4 + o*b**3 + d + z*b**2 and give o. 0 Rearrange 455*t - 85*t**2 + 247*t**2 - 82*t**2 - 79*t**2 to k + s*t**2 + f*t and give f. 455 Express -3*c**2 + 2*c**2 + 2*c**2 - 2729*c + 2729*c + 119*c**2 + (-7*c + 2*c + 3*c)*(0*c - c + 0*c) as i + a*c**2 + s*c and give a. 122 Express (2*c**2 + c**2 - 4*c**2 + c + 4)*(-340 - 359 + 783)*(-2*c + 6*c - 3*c) as j*c**3 + o*c + n + m*c**2 and give o. 336 Rearrange -27 + 16 - 53*v - 28 + 52*v to the form q + j*v and give q. -39 Express -c**4 + c + 34*c**3 - 94522*c**2 + 94522*c**2 in the form v*c**4 + b*c + i*c**3 + x + y*c**2 and give v. -1 Express c**3 + 1 - 2 + 30*c**2 + 9*c**2 + 2*c - 29*c**2 in the form v*c**2 + u*c**3 + p + m*c and give v. 10 Express 479*g**3 + 2*g - g + 138 - 2*g**2 + 3*g**4 - 479*g**3 in the form k + r*g**2 + x*g + y*g**3 + t*g**4 and give x. 1 Express 1 - t - 1 + (0 + 0 - 3)*(-t + 0*t - t) + (-3 - 1 + 3)*(-202 - 354*t + 202) in the form d + u*t and give u. 359 Express (0*i + 9*i + 3*i)*(-1 - 3 - 1) in the form r + l*i and give l. -60 Express 310 + 35*d - 310 as c + y*d and give y. 35 Rearrange -237*j**2 - 166*j**2 - 573*j**2 to l*j + b + q*j**2 and give q. -976 Rearrange -48*p + 70*p - 37*p + (2 - 3 - 2)*(-2*p - 3*p + 2*p) - 5 - p + 5 + 0 + 0 + 2*p to a + f*p and give f. -5 Express (-2 + 0 - 1)*(-12 + 8*s + 12)*(1 - s - 1 + (-2 + 1 - 1)*(0*s + 5*s - 4*s)) as w*s**2 + b*s + o and give w. 72 Express -6*c**2 + 11*c**2 - 2*c**2 + c + (-23*c + 0 + 0)*(-2*c + 2*c + c) in the form v + q*c**2 + u*c and give q. -20 Express 33*t - 35*t - 4*t**3 - 4 - 3 - 2*t**2 + 5 in the form g*t**3 + k + v*t + h*t**2 and give h. -2 Express 91*l**3 - 24 - 185*l**3 - 2*l**2 - l + 0*l**2 + 92*l**3 as o + d*l**2 + g*l + p*l**3 and give g. -1 Rearrange 23 + 2407*g + 16 + 15 - 54 to w*g + v and give w. 2407 Express (-6*k**2 - 4*k**3 + 6*k**2)*(-329 + 158 + 121)*(7 - 2 - 3) in the form m + t*k + l*k**3 + y*k**2 and give l. 400 Rearrange (518 - 1001 + 545)*(11*x**2 - 5*x**2 + 2*x**2) to k*x + w*x**2 + s and give w. 496 Express (3*f**2 - 5*f**2 + f**2)*(f**2 + f - f) + (16*f**3 - 43*f + 43*f)*(-13 + f + 13) in the form w*f**2 + o*f**4 + q*f**3 + b + a*f and give o. 15 Rearrange 2*d**3 - 4*d**3 + 1674 - 1352 + (4*d**3 - 6*d**3 + d**3)*(-1 + 3 - 3) to the form t*d**3 + i*d**2 + p*d + u and give u. 322 Express -9*d - 15*d + 23*d - d - 3*d - 2*d + 5*d - 2*d - 4*d - 2*d + 2 - 2 + (4 - 2 + 0)*(-d - d + d) - 3*d + 2*d - d in the form r + t*d and give t. -14 Express 31*r**4 - 2*r**4 + 20*r**4 + (-2*r**2 - 4*r**2 + 5*r**2)*(4*r**2 + 0*r**2 - 3*r**2) as y*r**3 + p*r**4 + f*r**2 + l + t*r and give p. 48 Express 37*s + 41*s - 112*s + 2*s**2 + 34*s as w*s**2 + f*s + t and give w. 2 Express -307 + j**2 - 3*j**2 + 318 - 3*j**3 in the form x + t*j**2 + z*j + l*j**3 and give t. -2 Rearrange (-1180*w - 509*w + 449*w - 434*w)*(-1 - 3 + 2) to the form i + t*w and give t. 3348 Express 86 + 31 - 115 - 144*d - 38*d as x + k*d and give k. -182 Express 97*w**2 + w - 2*w - 127*w**2 in the form a + b*w + l*w**2 and give l. -30 Rearrange -h - 45*h**2 - 74*h**2 + 35*h**2 + 4*h to i*h + f*h**2 + d and give i. 3 Express j**3 + 2*j**3 - 5*j**3 + (-1 + 1 - 8)*(-j**3 + 15 + 5*j - 6*j + 0*j) as z*j**2 + l*j**3 + f*j + p and give f. 8 Express 3*m**2 + 7*m**2 + 19*m**2 + 3 - 15*m**2 in the form k + w*m + y*m**2 and give k. 3 Express -199*v + 406*v + 65*v**2 - 208*v in the form a + z*v**2 + k*v and give z. 65 Express (-n + 1 - 1)*(6*n + 18*n - 4*n - n) as t + v*n + a*n**2 and give a. -19 Rearrange -6*r - 258 - 265 + 526 to f + b*r and give b. -6 Express 9*s**3 - 508*s - 1 - 508*s + 5*s**2 + 1514*s - 500*s in the form u*s**2 + z*s**3 + n + i*s and give z. 9 Express 479*v**2 - 100*v + 2*v**3 - 3*v**3 + 204*v - 104*v as w + q*v**2 + x*v + f*v**3 and give x. 0 Rearrange (-6*s**3 + 3*s**3 - s**3)*(-20*s - 74*s - 1103 + 1103) to i + v*s**3 + n*s**2 + f*s + o*s**4 and give o. 376 Express (3*m**2 + 2*m**3 - 3*m**2)*(22 + 2*m - m - 108) - 25*m**3 + m**4 + 25*m**3 as j*m**4 + r*m**3 + b*m + c*m**2 + z and give j. 3 Rearrange (4*v + 2*v - 4*v + (0*v + 0*v + v)*(-9 - 2 - 10))*((1 - 2*v - 1)*(v + 2*v - v) - 1 - 3*v**2 + 1) to the form k*v**3 + t*v + x*v**2 + r and give r. 0 Express (17*d - 5 - 81*d + 4)*(-3*d + 7*d - 3*d) + 2*d**2 - 9*d**2 - 6*d**2 in the form k + s*d**2 + g*d and give g. -1 Express f - 26*f**3 - 99 - 90 + 189 + 6*f as a*f + p*f**2 + l*f**3 + w and give a. 7 Express 122*l + 3*l - 71*l - 350*l - 361*l in the form j*l + h and give j. -657 Rearrange (0 + 0 + 2 + (-3 + 0 + 5)*(2 + 0 + 0))*(128*p + 104*p - 88*p + 29*p) to i*p + v and give i. 1038 Rearrange 2*w**2 - 2 + 6 + 2 - 16*w - 4*w**2 - 3 to p + l*w**2 + u*w and give l. -2 Express -27 - 12 - 2*w**2 + 5 + 3*w**2 - 6*w**2 + 5*w**2 + (w - 3 + 3)*(0 - w + 0) as m + x*w**2 + v*w and give m. -34 Express 108*m - 110*m - 3 + 4 + 0 as i + h*m and give i. 1 Rearrange (-3*p - 3*p + 4*p)*(-51 - 19*p**2 - 13 + 62) to y*p**3 + k*p + z*p**2 + t and give z. 0 Express -3*a**2 - 26*a + 1010 - 1012 - 12*a as r*a**2 + p*a + i and give p. -38 Rearrange 9*b - 616*b**2 - 9*b - 24*b**2 - 264*b**2 to n + x*b**2 + u*b and give x. -904 Rearrange 1303*x**3 + 22*x**4 - 1295*x**3 - 23*x**4 + x**2 - 3*x + 7*x to q*x**2 + b*x + s + j*x**3 + z*x**4 and give z. -1 Rearrange -1 - 9*k**2 + 7249*k**4 - 7252*k**4 - 3 to the form s + w*k**2 + o*k + h*k**3 + d*k**4 and give w. -9 Rearrange -6042*b**2 + 6040*b**2 + 0*b + b**4 + 8*b + 2 to h*b + w + z*b**3 + q*b**2 + y*b**4 and give h. 8 Rearrange -80334 + 322*j + 80334 - j - j + 3*j + (1 - 4 + 1)*(-2*j - 3*j + 3*j) + j + 3 - 3 + 5 - 5 - j to c*j + w and give c. 327 Express (-1 + 2*r + 1)*(1 - 30*r + 5*r**2
{ "pile_set_name": "DM Mathematics" }
st 1000000. -16000000 What is -47.59 rounded to the nearest integer? -48 What is 455000 rounded to the nearest one hundred thousand? 500000 What is 338880 rounded to the nearest ten thousand? 340000 Round 73.761 to the nearest ten. 70 Round -41862 to the nearest 100. -41900 Round 1124300 to the nearest 10000. 1120000 What is 0.7243 rounded to 2 decimal places? 0.72 What is 21854 rounded to the nearest 1000? 22000 Round -136.1 to the nearest ten. -140 Round -581830 to the nearest ten thousand. -580000 Round -1626000 to the nearest one hundred thousand. -1600000 Round -25710000 to the nearest 1000000. -26000000 What is -2400000 rounded to the nearest 10000? -2400000 What is 1224 rounded to the nearest one hundred? 1200 What is -0.4648 rounded to 2 decimal places? -0.46 Round 5330.9 to the nearest one thousand. 5000 Round 2414.8 to the nearest 1000. 2000 Round -9800 to the nearest one thousand. -10000 Round -620200 to the nearest one hundred thousand. -600000 What is 82.601 rounded to the nearest 10? 80 Round 78.9 to the nearest integer. 79 Round 4.854 to one dp. 4.9 Round -1.4398 to one decimal place. -1.4 What is -257.3 rounded to the nearest 100? -300 What is 0.0000004913 rounded to 7 decimal places? 0.0000005 Round -0.632 to 2 decimal places. -0.63 Round -0.000003261 to seven dps. -0.0000033 What is -140.62 rounded to zero decimal places? -141 Round 0.020992 to three dps. 0.021 Round 422.6 to the nearest ten. 420 What is 970.5 rounded to the nearest 10? 970 What is -3535.6 rounded to the nearest 100? -3500 What is 0.037018 rounded to 3 dps? 0.037 Round -0.040919 to 3 decimal places. -0.041 What is 0.00000040778 rounded to 7 dps? 0.0000004 What is 0.00002704 rounded to six decimal places? 0.000027 What is 0.01758 rounded to three dps? 0.018 What is -0.0000004094 rounded to 7 dps? -0.0000004 What is 1219020 rounded to the nearest 100000? 1200000 Round -2054.9 to the nearest ten. -2050 What is 153.41 rounded to 0 dps? 153 What is -2211330 rounded to the nearest 100000? -2200000 What is -0.010959 rounded to four dps? -0.011 What is 28000 rounded to the nearest 10000? 30000 What is 646.1 rounded to the nearest 100? 600 Round 1.8468 to one dp. 1.8 What is -2714700 rounded to the nearest 100000? -2700000 What is -10.2 rounded to 0 decimal places? -10 What is 7.32 rounded to one dp? 7.3 What is -0.006553 rounded to 3 decimal places? -0.007 Round 0.00000026 to six decimal places. 0 Round 0.0001797 to five dps. 0.00018 What is -4078250 rounded to the nearest ten thousand? -4080000 What is 0.000774 rounded to four decimal places? 0.0008 What is -1066 rounded to the nearest 100? -1100 Round 311550 to the nearest 100000. 300000 Round -0.000844 to 4 decimal places. -0.0008 What is 6.5458 rounded to the nearest 10? 10 What is 62290 rounded to the nearest 100? 62300 What is 130.25 rounded to the nearest ten? 130 Round -0.797 to 1 decimal place. -0.8 What is 697.5 rounded to the nearest 10? 700 What is -602.8 rounded to the nearest 100? -600 Round 0.000993 to 5 decimal places. 0.00099 What is 4.31 rounded to the nearest 10? 0 Round 0.011271 to four decimal places. 0.0113 What is 347.82 rounded to the nearest 100? 300 Round -5.38 to one decimal place. -5.4 What is 0.00000492 rounded to 6 decimal places? 0.000005 Round -0.00006102 to 6 dps. -0.000061 Round 0.00000044883 to seven decimal places. 0.0000004 Round 16600 to the nearest 1000. 17000 What is 76.4 rounded to the nearest 10? 80 What is -0.1309 rounded to two decimal places? -0.13 What is 0.99266 rounded to one decimal place? 1 What is -2.9159 rounded to 2 dps? -2.92 What is -4267 rounded to the nearest one hundred? -4300 What is 1.9639 rounded to two decimal places? 1.96 What is -60890 rounded to the nearest one thousand? -61000 Round 3.5453 to one decimal place. 3.5 What is -0.000000639 rounded to seven decimal places? -0.0000006 What is 291180 rounded to the nearest 1000? 291000 What is 31.188 rounded to the nearest integer? 31 What is 0.008655 rounded to 2 decimal places? 0.01 What is -0.00138385 rounded to 4 decimal places? -0.0014 What is -0.00026432 rounded to 4 decimal places? -0.0003 What is -0.0055201 rounded to 3 decimal places? -0.006 What is -0.00000100143 rounded to 7 decimal places? -0.000001 What is 4619.4 rounded to the nearest 10? 4620 What is -1.15592 rounded to 2 dps? -1.16 What is -0.2598 rounded to two dps? -0.26 Round -0.000004873 to 6 decimal places. -0.000005 What is -0.008371 rounded to three dps? -0.008 What is 0.0006691 rounded to four decimal places? 0.0007 What is 5.521 rounded to the nearest integer? 6 What is -3750000 rounded to the nearest 1000000? -4000000 What is 2533 rounded to the nearest 10? 2530 What is 0.008686 rounded to 3 dps? 0.009 Round 3128000 to the nearest 1000000. 3000000 What is -1008.59 rounded to the nearest ten? -1010 What is -0.000000267 rounded to 7 dps? -0.0000003 What is 202640 rounded to the nearest 1000? 203000 What is 3.5011 rounded to 0 decimal places? 4 What is -266270 rounded to the nearest 1000? -266000 Round 0.666 to zero dps. 1 What is -17900000 rounded to the nearest 1000000? -18000000 What is 0.00000865 rounded to 6 decimal places? 0.000009 Round -0.0000041944 to six dps. -0.000004 What is -72330 rounded to the nearest ten thousand? -70000 What is 878.2 rounded to the nearest 10? 880 What is -0.0010672 rounded to four decimal places? -0.0011 What is -260200 rounded to the nearest 1000? -260000 Round 2.4571 to 1 dp. 2.5 What is 369774 rounded to the nearest one thousand? 370000 What is -0.000000414 rounded to seven decimal places? -0.0000004 Round -0.0012775 to 4 decimal places. -0.0013 What is 326.17 rounded to zero dps? 326 What is -76.6 rounded to the nearest 100? -100 What is -0.0000179567 rounded to 6 decimal places? -0.000018 Round -0.578 to the nearest integer. -1 Round -0.0004931 to 4 decimal places. -0.0005 What is -3.8813 rounded to one decimal place? -3.9 Round -4907000 to the nearest 100000. -4900000 Round 11.6199 to the nearest integer. 12 Round 365190 to the nearest 1000. 365000 What is -194.421 rounded to the nearest ten? -190 Round 2299900 to the nearest 100000. 2300000 What is 1.37829 rounded to two decimal places? 1.38 Round 0.1126 to the nearest integer. 0 Round 0.00004506 to 5 dps. 0.00005 Round 196950000 to the nearest 1000000. 197000000 Round -147.06 to the nearest 10. -150 What is -150200 rounded to the nearest 1000? -150000 Round 113100000 to the nearest one million. 113000000 Round 19.5678 to the nearest integer. 20 Round 0.0121073 to 5 dps. 0.01211 What is -0.759 rounded to one dp? -0.8 What is 189490 rounded to the nearest ten thousand? 190000 What is -0.0000282 rounded to six decimal places? -0.000028 Round -0.000000400008 to seven dps. -0.0000004 Round 5818.2 to the nearest 100. 5800 What is 2150.6 rounded to the nearest 1000? 2000 Round -12400 to the nearest 10000. -10000 What is 203020 rounded to the nearest ten thousand? 200000 What is 127 rounded to the nearest 10? 130 Round 159.8 to the nearest 100. 200 Round 4.3256 to two decimal places. 4.33 Round -22.5184 to 1 decimal place. -22.5 Round -0.001363 to 4 decimal places. -0.0014 What is -4645920 rounded to the nearest 100000? -4600000 What is -0.149125 rounded to 3 decimal places? -0.149 What is -69.4 rounded to the nearest integer? -69 Round -4.57 to 1 dp. -4.6 What is 0.00000057037 rounded to seven dps? 0.0000006 What is 0.0000065236 rounded to seven decimal places? 0.0000065 Round 10.647 to one decimal place. 10.6 What is 163500 rounded to the nearest ten thousand? 160000 Round 0.069179 to three dps. 0.069 What is 56161000 rounded to the nearest 1000000? 56000000 What is 0.018322 rounded to 3 dps? 0.018 Round 0.0027882 to 5 dps. 0.00279 Round 0.0006 to 2 dps. 0 Round -1.06 to zero dps. -1 Round 0.0120961 to three decimal places. 0.012 Round -0.00093118 to four dps. -0.0009 Round -25568.9 to the nearest 100. -25600 What is -0.0000056083 rounded to 7 dps? -0.0000056 Round 1.083 to one decimal place. 1.1 What is 640900 rounded to the nearest 10000? 640000 Round -1008.8 to the nearest one hundred. -1000 What is -2.955 rounded to zero dps? -3 What is -0.000012093 rounded to 7 decimal places? -0.0000121 Round -0.000057337 to six dps. -0.000057 Round 158317
{ "pile_set_name": "DM Mathematics" }
or 8? 8 Is 2580 < 7736/3? False Is -106518/5 at most as big as -21304? False Are -13.5039 and 1 non-equal? True Is -24/95 not equal to 13? True Which is smaller: 2 or 139/86? 139/86 Which is greater: 2 or 312055? 312055 Which is bigger: 106098 or 106096? 106098 Which is bigger: -479745 or -479746? -479745 Which is smaller: 1/57 or -16.59? -16.59 Are 333400 and 333399 non-equal? True Is 3355711/4 >= 838928? False Which is smaller: 1 or 56/15993? 56/15993 Is -85413 >= -85413? True Is 1002 <= 3242? True Which is greater: -5 or 46361? 46361 Which is bigger: -2029 or -34474/17? -34474/17 Which is smaller: 1 or -2/11617533? -2/11617533 Which is smaller: -1 or -75900? -75900 Which is bigger: 1 or 1343/1178? 1343/1178 Which is bigger: -2592 or -2734? -2592 Is 167/13562 != -1? True Which is smaller: 836105 or 836104? 836104 Is -534/17 at most as big as -57? False Is 841563 at least as big as 841564? False Which is smaller: -0.007 or -20/9? -20/9 Does 0 = -113800? False Which is greater: 0 or -8/78073? 0 Are 75727/80 and 948 equal? False Are 97 and 5471 non-equal? True Which is greater: -23560 or -23557? -23557 Is 90219 at most as big as 90219? True Which is greater: -7698 or 4? 4 Is -0.06 at least 136313? False Which is bigger: 1 or -1/1834692? 1 Is -5 < -666/169? True Which is greater: 1580547/4 or 395137? 395137 Does 0 = 2/9927197? False Which is smaller: 2980 or -20? -20 Are 54 and 302 unequal? True Which is greater: -2363/4 or -592? -2363/4 Which is smaller: -3 or -433/189? -3 Which is greater: -57 or 2570? 2570 Which is greater: 2/3 or -530.5? 2/3 Is -0.27 greater than or equal to 149492? False Are 8 and 1306/179 non-equal? True Which is smaller: 47511 or 47509? 47509 Which is greater: -64858 or -64860? -64858 Are 192350 and -2 nonequal? True Is 1/3597650 > 0? True Is -391811 > -391812? True Which is smaller: 385022 or 2310125/6? 2310125/6 Is -4844 >= -4790? False Which is smaller: 0 or 0.08894814? 0 Which is greater: 57 or 14796/265? 57 Which is smaller: -1662/163 or -11? -11 Is 362 > 16651/46? True Is -1 greater than 3/71816? False Is -54182 smaller than -54212? False Which is smaller: -18643 or -18647? -18647 Do 1 and 28/10931 have the same value? False Which is bigger: -1 or -2/195061? -2/195061 Is 66256 greater than or equal to 66271? False Which is smaller: -1 or 2/321309? -1 Which is bigger: 22309 or 22305? 22309 Is 2/81 less than or equal to 1825/2? True Is 38109 > 38124? False Do -731 and -9493/13 have different values? True Which is smaller: -1 or 11/153730? -1 Is 828654/7 bigger than 118378? True Is -134402 less than or equal to -1/5? True Which is bigger: -1401/9007 or -1? -1401/9007 Which is smaller: -120472 or -120470? -120472 Is 1980 >= 1968? True Which is smaller: -4160/27 or -154? -4160/27 Is -5500045 not equal to -5500046? True Is 839305 less than 839306? True Is 0.6 != -0.01905? True Which is smaller: -8576 or -8525? -8576 Which is greater: 14661 or 14662? 14662 Is -1 at least as big as -1114/4865? False Is -1 < 5/23068? True Which is greater: 2/1957 or 0.04? 0.04 Which is smaller: -48598 or -48605? -48605 Which is bigger: 164 or 3037? 3037 Which is smaller: 4 or 61/478? 61/478 Which is smaller: -15595 or -46786/3? -46786/3 Is -742110 at most as big as 0.1? True Which is bigger: -1888 or -1884? -1884 Which is smaller: 1112 or 676? 676 Is 7 at most as big as 4658/809? False Is -1/5382 at most 0? True Which is greater: -567975 or -567974? -567974 Is 71785 != 71783? True Which is greater: -8 or -19894? -8 Is -825/221 <= -3? True Which is greater: 236270 or 236269? 236270 Is -64615/8 bigger than -8077? True Is -13546 bigger than -12? False Which is smaller: 0 or -10/958879? -10/958879 Which is bigger: 536 or 19824/37? 536 Do 789879 and 4 have the same value? False Which is smaller: -61509 or 0.04? -61509 Is -246253 <= -246254? False Is -27832 at most -27837? False Which is bigger: -9708 or -9709? -9708 Which is bigger: 153 or -3524? 153 Which is smaller: 9439 or 103824/11? 103824/11 Which is bigger: 53897 or 53896? 53897 Is -0.30523 equal to -1/50? False Which is greater: -2/13 or 4/843? 4/843 Is 1312731/10 < 131273? False Which is bigger: 28/141 or 0? 28/141 Is 1997 bigger than 1969? True Is -20456/3 > -6818? False Which is smaller: -282 or -6477/23? -282 Which is smaller: 230 or 1/49? 1/49 Which is greater: 5/4 or -1333.44? 5/4 Which is greater: 1738 or 1726? 1738 Does -5317 = -5310? False Is 82 bigger than -1442? True Is -7653/158 < -48? True Which is smaller: -192 or -171? -192 Which is greater: -2855/123 or -24? -2855/123 Which is smaller: 2/5 or 80494? 2/5 Is -4645 greater than -4674? True Which is bigger: -1/5 or -36175? -1/5 Is 12/707207 smaller than 0? False Which is bigger: 1/110370 or -1? 1/110370 Which is smaller: 180494/15 or 12032? 12032 Which is greater: 289145 or 289146? 289146 Which is smaller: 1 or 16/3951? 16/3951 Which is smaller: 6318 or 63183/10? 6318 Is 103 at most as big as 13095? True Which is greater: -5/67409 or 0? 0 Which is greater: 5214963/5 or 1042992? 5214963/5 Which is smaller: 0 or 19/154913? 0 Which is smaller: -106 or 133? -106 Do 478 and 7163/15 have different values? True Is -325004/7 at least as big as -46430? True Which is smaller: -342046/3 or -114014? -342046/3 Is -12/17 greater than or equal to 1003? False Which is greater: 1782/59 or 29? 1782/59 Which is smaller: 12053 or 12054? 12053 Is 0 smaller than -19/19991? False Which is bigger: -5816 or -5822? -5816 Which is smaller: -38527 or -38525? -38527 Which is bigger: 12 or 2426? 2426 Which is bigger: -1151 or -8056/7? -8056/7 Which is bigger: 2108 or 2107? 2108 Is -456930 at least -456929? False Which is bigger: -3305 or -122262/37? -122262/37 Which is greater: -3194577 or -3194579? -3194577 Do 211 and 3.06 have different values? True Which is greater: 908802 or 908801? 908802 Is -7644 smaller than -3/8? True Which is greater: 819/1286 or 1? 1 Is 0 at least as big as 9/37642? False Which is greater: -184177 or -184174? -184174 Is -1046/53 smaller than -20? False Does -1030 = -11.3? False Which is bigger: -1137 or 23? 23 Which is smaller: 542033 or 0.1? 0.1 Are 6082 and 6074 equal? False Is 15 <= 6/47? False Does 3353 = 3402? False Is 44462 < 44463? True Which is smaller: 65720 or 1? 1 Which is smaller: 5383 or -3/2? -3/2 Which is smaller: -219 or -2633/12? -2633/12 Which is smaller: -7676 or -191937/25? -191937/25 Is 6759 equal to 6783? False Which is smaller: 28/4159 or -1? -1 Which is bigger: -0.16 or -9084? -0.16 Is 9/4 greater than -5650? True Is 0 at least as big as -69/716? True Which is smaller: 1 or -2/7787? -2/7787 Which is smaller: -259470 or 0? -259470 Which is smaller: 403 or 29360/73? 29360/73 Do -1 and 5/132964 have the same value? False Which is greater: 22604 or 22528? 22604 Are -1 and -1/496274 equal? False Which is smaller: -10683 or 69? -10683 Is 72 < -45? False Are 0 and -79/208 equal? False Which is smaller: 64865 or 64894? 64865 Is 0 greater than 3/6139? False Which is smaller: -0.80643 or 2/5? -0.80643 Which is bigger: 6110 or 6121? 6121 Which is bigger: 2/773 or -0.05? 2/773 Is -420 equal to -415? False Which is smaller: 8293 or 124406/15? 8293 Which is smaller: 36.13 or 0.004? 0.004 Which is smaller: 0.2 or 16499? 0.2 Which is bigger: 430 or 426? 430 Which is smaller: 31186 or 31188? 31186 Which is bigger: -13 or 12/104351? 12/104351 Is -0.2 at least -50.9? True Which is smaller: -2 or -44460? -44460 Is -189111 at most as big as -189113? False Which is greater: 180/5201 or 1? 1 Is 496 bigger than 371? True Is -10/76787 greater than 1? False Are 1 and -0.09719 nonequal? True Which is smaller: 18 or -36264? -36264 Which is greater: 17193/94 or 184? 184 Which is smaller: 1/2 or 221664/7? 1/2 Which is greater: -1867273 or -1867274? -1867273 Which is bigger: 52263 or 574906/11? 574906/11 Which is bigger: 22504 or 22519? 22519 Is -1/5 greater than 6449? False Which is bigger: 144567/8 or 18072? 18072 Do -747995 and -747997 have the same value? False Which is smaller: -7.798 or 12/5? -7.798 Is 244/373 at least 0? True Which is smaller: -58/23947 or 0? -58/23947 Which is smaller: -1864 or 21? -1864 Is -1 at most -1/73361? True Is 0 bigger than -504/505? True Is -136 not equal to 29617? True Is -171/4 < -23.5? True Is -
{ "pile_set_name": "DM Mathematics" }
Suppose -4*f + l = 141. What is the tens digit of f? 9 Let d = -7 - -7. Suppose 5*c - 2*c = 3*f + 12, d = -3*c - 3*f + 18. Suppose 616 = c*v + 3*v. What is the tens digit of v? 7 What is the units digit of ((-6564)/18 - -1)*-21? 7 Let a = 9 - 5. Let u be (-1)/(-2)*(245 + -7). Suppose -4*o + 5*k = -5*o + u, a*o = 4*k + 524. What is the hundreds digit of o? 1 Suppose f - 5*f + 8 = 0. Suppose -2*p + 4*y = -446, 4*p - 450 = f*p + 2*y. What is the units digit of p? 7 Let t(w) = w + 17. Let c be t(-13). Let s be (c/(-10))/((-2)/(-20)). What is the units digit of (-10)/4 - -2 - 50/s? 2 Let n(q) = -5*q**2 + 55*q + 31. Let j be n(-15). Let m = -1048 - j. What is the units digit of m? 1 Let y(s) = -33*s + 36. Let k be y(1). Suppose -k*c = -z + 44, -z = 4*z + 3*c - 202. What is the units digit of z? 1 Let g(k) = 43*k**2 - 121*k - 2960. What is the units digit of g(-39)? 2 Suppose 0 = 4*c - 3*m + 7, -3*c - 5*m = -2*m - 21. Suppose -c*p + 54 + 36 = 0. What is the tens digit of p? 4 Let b = 71418 + -39653. What is the hundreds digit of b? 7 Suppose 37*p - 40790 = 34*p - 5*v, 4*p + 2*v = 54396. What is the hundreds digit of p? 6 What is the hundreds digit of (208/(-12))/((-4)/42*1/23)? 1 Let h be ((-231)/(-22))/(1/24). Suppose 6*v - h = 90. What is the units digit of (v/(-6))/((-3)/48)? 2 Let f(h) = -h - 222*h**2 - 6*h + 1 + 11 + 382*h**2 + 0. What is the tens digit of f(3)? 3 Suppose 4*k = 2*v - 1188 - 6454, 2*k = -3*v + 11431. What is the thousands digit of v? 3 Suppose -14*o = -4*o - 40. Suppose -b + 6*b = 4*m - 132, m = -o*b + 54. Let j = m - -114. What is the units digit of j? 2 Let x be ((-218)/4)/((-12)/(-120)). Let r = -383 - x. What is the units digit of r? 2 Let j(p) = 19*p**2 + p + 72844 - 72839 - p**3 - 8*p**2. Suppose -3*n + 0 = -30. What is the units digit of j(n)? 5 Let w = 191 + -5. Let c = 112 + w. What is the units digit of c? 8 Let v = 4380 - -4136. What is the tens digit of v? 1 Let z(n) = 530*n + 13. Let y(a) = -a - 2. Let u(c) = 6*y(c) - z(c). What is the units digit of u(-1)? 1 Let t = 460 + -211. Let f be ((-72)/27)/((-2)/(-114)). Let m = f + t. What is the tens digit of m? 9 Let z = -873 - -1753. What is the tens digit of z? 8 Let i(t) = -t**2 + 32*t + 3. Suppose 3*d + 7 = x - 2*x, x - 5 = 0. Let f be 4 - (-10 + (0 - d)). What is the tens digit of i(f)? 2 Suppose -9*z + 25 = -4*z. Suppose o - 4*x = -55, 3*o - z*x + 94 = -71. What is the units digit of ((-3)/(4 - 1))/(1/o)? 5 Let m(d) = 909*d + 2832. What is the units digit of m(48)? 4 Suppose -470*l + 234*l = -237*l + 34235. What is the units digit of l? 5 Let x(n) = -29*n + 73. Let b(r) = 20 - 32 + 0*r + 2*r + 3*r. Let t(p) = 34*b(p) + 6*x(p). What is the units digit of t(-15)? 0 Suppose 2*g + 3177561 = 305*g. What is the ten thousands digit of g? 1 Let u(z) be the second derivative of z**4/12 - 4*z**3/3 - z**2 - 3*z. Let f be u(6). What is the tens digit of (-3555)/(-63) - (-6)/f? 5 Let c(i) be the first derivative of i**4/4 + 7*i**3 - 31*i**2/2 - 21*i - 54. What is the units digit of c(-22)? 7 Suppose 0 = -71*p + 69*p + 4*o + 37886, -4*o - 24 = 0. What is the units digit of p? 1 What is the ten thousands digit of 57/(-38) + (-114985)/(-10)? 1 Suppose 11*q - 30*q + 75145 = 0. What is the units digit of q? 5 Let v = -827 - -778. Let u = v - -1185. What is the hundreds digit of u? 1 Suppose -r + 6*r = 10, -2*d + 4*r - 678 = 0. Let c = -208 - d. Suppose b = 2*w + 26, c = 4*b - 3*w + 43. What is the tens digit of b? 1 What is the thousands digit of (505548/32 - 0) + (-78)/208? 5 Let x(b) = -6*b - 4. Let p be x(-1). What is the hundreds digit of (-5)/p*(-606)/5? 3 What is the tens digit of (-118*60/80)/((-6)/1648)? 0 Let b(j) be the first derivative of j**3/3 - 5*j**2 + 51*j + 118. What is the tens digit of b(-17)? 1 Let m(b) = b**3 + 7*b**2 - 914*b + 60. What is the tens digit of m(30)? 4 Let z(w) = -2*w**2 + 2. Let s(b) = -9*b**2 - 31*b + 68. Let n(f) = -s(f) + 4*z(f). What is the hundreds digit of n(13)? 5 Suppose 0 = -71*t + 74*t + 3. Let d(o) = -110*o**3 + 3*o**2 + o - 1. What is the tens digit of d(t)? 1 Let d(j) = 40*j + 15. Let t be d(-3). Let n = 2 - t. What is the units digit of n? 7 Suppose -320*r - 33 = -331*r. Suppose 2*a = g + 655, -r*a + 320 = 3*g - 676. What is the hundreds digit of a? 3 Let r(o) = -3*o**3 + o**2 - o - 6. Let y be r(-2). What is the hundreds digit of (-3836)/(-6) + 40/y? 6 Suppose 25*z = 24*z + 4*p + 7448, 0 = -3*z + 4*p + 22384. What is the thousands digit of z? 7 Let b(f) = f**2 - 3*f + 8. Suppose -2*j = 4*l + 152, 0 = 5*j + 4*l - 230 + 622. Let p = 97 + j. What is the units digit of b(p)? 6 Suppose 0*a + 5*c - 27 = -a, -3*a - 3*c + 21 = 0. Suppose 0 = a*p + 5*g - 773, 4*g = -3*p + 145 + 1004. What is the hundreds digit of p? 3 Let l(m) = -2*m**2 + 8*m + 26. Let u be l(6). What is the units digit of (u*(-14)/8 - -4)*120? 0 Suppose 66*z + 3*z + 4485 = 0. Let w(v) = -v**3 - 9*v**2 - 12*v - 9. Let c be w(-8). Let s = c - z. What is the tens digit of s? 8 Let a = -5701 - -11327. What is the tens digit of a? 2 What is the tens digit of ((-33)/(-6) + -6)*1*-8 - -9232? 3 Let o(q) = -69*q + 99. Let z be o(12). Let w = z + 2076. What is the tens digit of w? 4 Suppose k = -3*l + 4248 + 15712, k + 13310 = 2*l. What is the thousands digit of l? 6 Suppose 49293 = 4*o - q, -5*o = 2*q - 28867 - 32772. What is the ten thousands digit of o? 1 Let x = 33525 + -22975. What is the ten thousands digit of x? 1 Suppose 3*g - 4*b = 106154, -4*g + 29278 + 112265 = -b. What is the thousands digit of g? 5 Let g = 128 - 128. Suppose 0*k + 4*k = s + 2790, 2*k - 5*s - 1386 = g. What is the hundreds digit of k? 6 Let l = 49590 - 21275. What is the hundreds digit of l? 3 Let w(f) = -2*f**2 - 22*f - 24. Let o be w(-10). Let d(c) = c + 8. Let b be d(o). What is the tens digit of (-9)/(b/(-256)*6)? 9 Suppose 5*v - 6*c - 33180 = -7*c, 5*v - 3*c = 33160. What is the units digit of v? 5 Let y be 221 - 4*(-3)/(-24)*4. Let m be 3*2/(-3) + y + -8. Suppose 0 = -12*o + m + 1687. What is the hundreds digit of o? 1 Let h be 2/(-3) + 3/27*177. Let n = 84 - h. Suppose -3*f = -n - 40. What is the units digit of f? 5 What is the tens digit of 11 - 1 - (-31)/((-310)/(-409030))? 1 Suppose -10*p = 14930 - 8194 - 52516. What is the thousands digit of p? 4 Let s be 6/(-15)*25/20*4. Let g be (-3)/(-9)*(2681 + s). Suppose -1068 = -4*o - v, -5*o + 459 = -3*v - g. What is the hundreds digit of o? 2 Let h = 346 + -346. Suppose 6*f - 4050 = -h*f. What is the hundreds digit of f? 6 Let k be 5/(6/(-6) + 2). Suppose -3*r + 3*j + 456 = 0, 4*j - 1063 + 348 = -k*r. What is the units digit of r? 7 Let r(v) = v**2 + v - 8. Let n be r(6). Let o = n + -31. Let i(u) = 53*u - 20. What is the units digit of i(o)? 9 Suppose 0 = 2*c - 3*y + 1692, c + 4*y + 578 = -290. Let q = c + 1425. What is the units digit of q? 3 Suppose -4*d - n = 4190, -d - n + 210 - 1259 = 0. Let u = d + 1816. What is the units digit of u? 9 Let m = -36440 + 51083. What is the units digit of m? 3 What is the ten thousands digit of (28/13 - 2) + 242094094/5863? 4 Let u be (-14 - 1)/((-9)/60*-2). Let t = 55 + u. Suppose -3*f - a - 16 = -76, t*f + 2*a = 99. What is the tens digit of f? 2 Let f(x) = x**3 - 11*x**2 + 13*x + 5. Let t be f(10). Let n = 29 - t. What is the tens digit of 98 + -3*(-4)/n? 9 Suppose 0 = -4*k - r + 1268, -4*k + 1255 + 25 = 4*r. What is the units digit of 1 - k/(-8) - 5/10? 0 Let a(y) = -1113*y - 5691. What is the hundreds digit of a(-20)? 5 Let q be 0/(2 + 1 + -5). Let v(h) = 14*h + 175. What is the tens digit of v(q)? 7 Suppose -12*n + 95717 = 16*n - 50863. What is the units digit of n? 5 Let x be (-5 - (7 - 3))*4/(-12). Let j = 380 - 129. Suppose 6*m - x*r = 2*m + 999, -m = -r - j. What is the units digit of m? 6 What is the tens digit of (17 - (-893)/(-57))*(-2979)/(-2)? 8 Let a(h) be the first derivative of -17*h**2/2 - 7*h + 118. What is the units digit of a(-4)? 1 Suppose -36*f + 90 = -6*f. Suppose 5*u - 1947 = -f*q + 2*u, 3*u - 2593 = -4*q. What is the tens digit of q? 4 Let g be 330/(-8) - -6*5/(-40). Let y be 3 + -1 - g/(-14). What is the units digit of -5 - (-208 - (y - -1))? 3 Let d be (-2 - 42/(-15))/(2/5). Let z(m) = 2280*m**2 + 0*m - 2278*m**d + 31 + 10*m. What is the units digit of z(-13)? 9 Suppose 0 = -2*v - 5
{ "pile_set_name": "DM Mathematics" }
-122. Which is the closest to 0.1? (a) -0.5 (b) 5 (c) x a Let a = -348 + 346.9. What is the nearest to 1/2 in 3, a, 5? a Let x be 3/5 + 0/(15 - 0). Let o(l) = l + 4. Let p be o(-5). Which is the nearest to 0? (a) x (b) p (c) -1/9 c Let g = 0.8 + -2.8. Let s = -3.563 - 0.437. Which is the nearest to 10? (a) 5 (b) g (c) s a Let i = 0.268 + -0.29. Let j = i - 4.978. Suppose 0 = -5*h + 20 - 5. Which is the closest to -2/5? (a) h (b) -3/2 (c) j b Let k be (-3)/6*(-20)/25. What is the closest to k in 1/3, 2/11, 4/7? 1/3 Suppose -3*u - 127 = -4*o - 21, -4*u = -5*o + 143. Let m be (-1)/(-7) + (-199)/u. Let s = m + -33/7. Which is the nearest to 2/3? (a) s (b) 2/9 (c) 0.3 c Let o be (6 + (-11 - -1))*(-2)/8. What is the closest to -31 in o, 3, -2/3? -2/3 Let q = 0.03 - -15.17. Let j = q + -0.2. Let y = j - 20. Which is the nearest to 0.1? (a) -2/9 (b) -0.2 (c) y b Let q = -97 + 110.2. Let n = 14 - q. Let y = 1 - n. What is the nearest to y in 1, -2, -3? 1 Let f = -304 - -311. Which is the closest to f? (a) 1 (b) -2/7 (c) 3 (d) 5 d Let m be -1 + 3 - ((-144)/(-30))/3. Which is the closest to -1? (a) -2 (b) m (c) -27 (d) 4 a Let p = -105.07 - -105. Suppose 2*x + 10 = 4*x. Which is the closest to p? (a) 0.1 (b) x (c) 2 a Let v = -3 + -6. Let i = v + 10. Let r(g) = g**2 + 5*g - 1. Let p be r(-4). What is the closest to -1/3 in i, p, 0? 0 Let g = 1053 + -935. Which is the closest to 0? (a) 0.5 (b) -0.3 (c) 5 (d) g b Let f = -1 + 3. Let r = -4469 + 4464. What is the nearest to 1 in 0.1, r, f? 0.1 Let f = -2 + 2.1. Let z = 18558 + -18553. Which is the closest to f? (a) z (b) 0 (c) -0.5 b Let h be (-1 - 0)*3/3. Suppose 0 = 11*y - 15*y + 3*k - 12, 0 = 3*y - 4*k + 9. What is the nearest to 0 in y, h, -2/17? -2/17 Let y = 7 + -25. Let k = -31 - y. Let v = k + 15. Which is the nearest to v? (a) -5 (b) -1 (c) -0.4 c Suppose 6571*d - 24 = 6577*d. What is the nearest to 1/4 in -0.3, -5, -5/44, d? -5/44 Let s = 2 + -1.9. Let r = 0.1173 - 5.1173. Let p = -5 - -5.1. What is the closest to p in s, r, -1/5? s Let r = 18.92 + 0.08. Let q = r + -24. Let f = 5.1 - 5. Which is the closest to -1/8? (a) f (b) q (c) 2 a Let q(y) be the second derivative of y**2 + 1/4*y**4 + 1/20*y**5 + 0 - 5*y - 2/3*y**3. Let r be q(-4). Which is the nearest to r? (a) 0.1 (b) 2/9 (c) -1/6 b Let g = -4.907 - 0.093. Let n be (-2)/(-3)*-3 + 2. Suppose 2*q + 5*z - 22 = 0, 4*q - q - 2*z + 5 = n. What is the closest to q in 1, g, -2/3? 1 Let f = -1.31 - 0.25. Let q = f + 1.6. Let a = 0.06 + q. What is the nearest to a in -2, 0.4, -2/11? -2/11 Let m = -9 - -11. Which is the closest to 2? (a) 7 (b) 1 (c) m c Let i = -2 - -1. Let x = 2.69 - 2.59. Which is the nearest to i? (a) -0.1 (b) x (c) 3 a Let i = -4 - -3.6. Suppose -3 = 5*q + 2. Let v = -1560 + 1564. Which is the closest to q? (a) i (b) v (c) -4 a Suppose 0 = -22*q + 63 + 47. Which is the closest to -2/7? (a) 1.2 (b) 3/4 (c) q b Let v = 55868/7 + -8002. Let x = v + 3935/189. Which is the nearest to x? (a) -2 (b) 0.5 (c) 3/4 b Let m = 15 + -108. Let u = -94 - m. Suppose -3*r - 4 - 2 = 0. What is the closest to u in -2/11, r, 0.2? -2/11 Let p = 1621.03 + -1620. Which is the nearest to 2? (a) -2 (b) p (c) 0.3 b Let l = -556/3 + 190. Which is the nearest to l? (a) -2/9 (b) 2/19 (c) -4 b Suppose 0 = -4*v - 4*m + 108, -3*m - 114 = -4*v - 5*m. Let j = v - 57/2. Let z = 9 - 9. Which is the closest to z? (a) 1/5 (b) j (c) -0.5 a Let w = 1.14 - 0.04. Let u = w + -0.4. Let x = -0.3 + u. What is the nearest to 0 in 0.5, -0.02, x? -0.02 Let x = -61.28 - -62. Let r = -1.28 - x. Which is the nearest to 2/7? (a) 0 (b) -2/9 (c) r a Let x = 10 - 1. Let r = -207 - -207.5. What is the nearest to -2/3 in 3, x, r? r Let j be (-55)/(-22)*(-4)/(-10). Suppose 2*x - 5*u = 12, -3*x + 10 = -4*u - j. What is the closest to x in 0, -0.3, -3? 0 Let q = 4 + -9/2. Let m be (-2)/7 + 22/28. Let x = -776 - -2327/3. What is the closest to q in m, -1/4, x? x Let c = 417 - 422. What is the closest to -0.1 in c, -12, -1/3? -1/3 Let p = 0.1 + 0. Let c = -70.8 + 73.8. What is the nearest to -1 in c, 2/11, p? p Let x = 153/155 + -12/31. Which is the closest to 0.2? (a) x (b) 3 (c) 1/9 c Let i = 97/2 - 49. Which is the nearest to 2/3? (a) 1/2 (b) i (c) 5 (d) 0.3 a Let d be 26/325*(-30)/(-8). What is the nearest to -2/3 in 2/13, -3/4, -3, d? -3/4 Let s = 0.029 - 0.339. Let j = -2.31 - s. Which is the nearest to -0.1? (a) 1 (b) -0.3 (c) j b Let z = -1/537 + -178/537. Let n(d) = 3*d + 2. Let o be n(-2). Which is the nearest to -1? (a) 4 (b) o (c) z c Suppose -2*y - 28*j + 2 = -30*j, -4*y = j + 1. What is the closest to 0.8 in y, 0.5, -1/6? 0.5 Let x = -9 - -5. Suppose 3 = -2*y + 13. Suppose y*v - 4*i - 5 = i, 3*v = -5*i + 3. Which is the closest to v? (a) x (b) 8 (c) 4 c Let v = -0.53 + 2.53. What is the nearest to 2/7 in v, -0.24, 6/5? -0.24 Let s = -0.094 - -0.13. Let i = 2.864 + s. Let m = 0.1 + i. What is the closest to 0.1 in -2, 2/5, m? 2/5 Let s = 337/5 + -339/5. Let o(w) = -w + 2. Let g be o(-2). What is the closest to s in -4, 5, g? -4 Let n be (-4 - (-19 - 1)/4) + -4. Which is the nearest to -40? (a) n (b) 1/3 (c) 4 a Suppose -3*l - d - 4 = 3*d, 5*l - 2*d + 24 = 0. Let r = 0.9 - 0.8. Let q = -0.1 - r. What is the closest to -1 in -3, q, l? q Let h = 2/1071 - 772/31059. Let o be (-8)/(-870)*(-134)/(-16). Let l = h - o. What is the nearest to 0.1 in l, -1/6, -1? l Suppose -182 + 250 = 17*n. Which is the nearest to -1/3? (a) 0.07 (b) n (c) 0.4 a Let p = 3/622 + 601/4354. What is the nearest to 3 in p, -10, 0.5, -5? 0.5 Let i = 92/5 + -18. Let k = 44 + -32. Let d be (8/50)/(k/30). What is the nearest to i in d, -5/2, 0? d Suppose -11*j + 42 = 10*j. Which is the nearest to 2/37? (a) 6 (b) j (c) -2 (d) -2/9 d Let o = 13.6 + 2.4. Let k = 11 - o. Let p = 140.3 - 141.3. What is the closest to 2/3 in 0.3, p, k? 0.3 Let k(q) = q. Let u be k(-5). Let g = -751.7 + 752. Let z = 0.4 - 0.9. What is the closest to 1/3 in u, g, z? g Let m = -1067.6 - -1207. Let d = -139 + m. Let n be (-2 + 1)/((-2)/(-10)). What is the closest to -2/27 in -0.5, n, d? -0.5 Suppose -2*p + 8 = 4. Suppose -4*i + 154 = 5*f, 55 = p*f - 4*i - i. Let a be 12/f*3/(-2). What is the closest to 3 in a, 2/19, 5? 5 Let c = 0 + -2.3. Let p = c - 1.7. What is the closest to -1/3 in 1, -3, p? 1 Let k = 8 - 6. Let t = 30 + -29.44. Let n = t + -0.06. Which is the nearest to 1? (a) k (b) -4 (c) n c Let b = 2.581 - -1.419. Let p = 2.93 + 0.07. What is the nearest to -5 in 0.4, b, p? 0.4 Suppose 0 = 3*o + 12, 9*o + 24 = -4*w + 8*o. Suppose u - 29 = 4*q, -1 = 5*u + 4*q - 26. What is the nearest to -1 in w, -0.5, u? -0.5 Let l be 182/78 + (-2)/1. Which is the nearest to 1.7? (a) -2 (b) -0.2 (c) l c Let n be ((-2)/(-7)*(3 + -10))/(-6). Let v be ((-100)/48)/5 + (-2)/(-12). What is the nearest to -1 in n, -2/7, v? -2/7 Let i be (-3)/99*(-9)/6. Let l = i - -37/154. Let g be (-13)/52 + (-6)/(-8). What is the closest to g in -5, l, 2? l Let u = -56.16 + 10.06. Let d = u - -46. Which is the nearest to -0.2? (a) d (b) -2 (c) 2/7 a Let q = 0.303 + -0.703. Which is the nearest to 1/3? (a) q (b) -18 (c) 0 c Let y be 0*((-14)/56 - (-7)/12). Which is the closest to y? (a) -3/4 (b) 1/4 (c) 0.43 b Suppose -4*g + 10 = 22. Let x = -19/108 - 2/27. Which is the nearest to -3? (a) 0.2 (b) g (c) x b Let s be (-2*(-70)/(-16))/(2/16). Let z = -488/7 - s. Which is the closest to -4? (a) 1 (b) -4 (c) z b Let r = -0.1 - 0.9. Let a = 1647 - 1652. What is the closest to r in a, 2/3, -2/31? -2/31 Let p = 37 + -39. Let x = 0.1 + 0.3. What is the closest to p in -3, -4, x? -3 Suppose 0 = 4*s + 2*b - 7*b - 184, 5*s - b = 230. Let z be 2/(-6)*12/s. What is the nearest to 0.1 in 4, 2/3, z? z Let y = -0.08 - -0.16. Let l = y + 2.92. Let d be (-12*(-2)/(-9))/(4/(-6)). What is the nearest to 3/7 in 1, d, l? 1 Let w = 43 - 46.6. Let n = 0.45 + -0.05. Let q = w - n. What is the closest to 0.1 in 1/5, 2, q? 1/5 Let r be 35/143 - (553/154 - (-84)/(-24)). Let y = 0.8 + -1. What is the nearest to -1/4 in r, -6, y? y Suppose -q - 3 = -6*q + 4*g, g = 3. Which is the nearest to q? (a) -0.1 (b) 0.2 (c) 3 c Let z = 38 - 19. Let g = 23 - z. Which is the closest to -1?
{ "pile_set_name": "DM Mathematics" }
ided by j. 3 Let j = 11879 - 11462. Calculate the remainder when j is divided by 225. 192 Suppose 0 = 24*w - 247 - 9377. Suppose 4*u + 5*y = 313, -5*u + 14*y - 17*y + w = 0. What is the remainder when u is divided by 28? 26 Let j(b) = 4*b**2 + 50*b - 145. Let q(g) = 3*g**2 + 33*g - 97. Let t(f) = -5*j(f) + 7*q(f). Calculate the remainder when t(19) is divided by 32. 14 Let k(n) = -n**3 - 9*n**2 + 14*n + 18. Let z be k(-10). Suppose 6*a - 336 = 198. Let h = a + z. What is the remainder when h is divided by 18? 13 Calculate the remainder when 1088 is divided by (-528)/(-38) + 9 + (-169)/19. 10 Suppose -5*q + 48 = -7. Let t(y) = -y**3 + 13*y**2 - 10*y - 6. Let a be t(q). Suppose 0 = -4*w + 70 + a. What is the remainder when w is divided by 13? 10 Let x = -89951 - -90048. Let c(h) = -h**3 + h + 35. Calculate the remainder when x is divided by c(0). 27 Let w(n) = n**2 - 14*n + 19. Let r be w(24). Let p = 310 - r. What is the remainder when 354 is divided by p? 48 Let l(z) = -z**2 + 10*z - 12. Calculate the remainder when (2 - (6 - 22)) + -3 is divided by l(5). 2 Suppose -5*h = -2*u + 820, 4*u + 348 + 336 = -4*h. Let j = h - -171. What is the remainder when 24 is divided by j? 4 Suppose 4897 = -8*n + 12833. Calculate the remainder when n is divided by 11. 2 Let a = 4352 - 4243. Let l = 21 + 3. Calculate the remainder when a is divided by l. 13 Let w be (-5 + 2)*(-2)/3. Suppose 5*v = 3*q - 63, w*q - q = 2*v + 20. What is the remainder when 128 is divided by q? 24 Suppose 19*h + 2*h = -18*h + 82134. Calculate the remainder when h is divided by 32. 26 Let n(b) = b + 223. What is the remainder when n(0) is divided by (-70)/3*(-30)/25? 27 Let c be -4*15/20 - (-634 + 0). Suppose 8*f - c = -215. What is the remainder when 106 is divided by f? 2 Let f = -365 - -365. Suppose -29*h + 47*h - 486 = f. What is the remainder when 103 is divided by h? 22 Suppose -6 = -2*w, 5*m + 2*w = 4199 - 968. Calculate the remainder when m is divided by 212. 9 What is the remainder when 293 is divided by 16/184 + 10592/24*75/230? 5 Suppose -7233 - 3477 = -35*z. What is the remainder when z is divided by 87? 45 Let r = 10389 + -10385. Calculate the remainder when 20*((-1)/2 - -1) is divided by r. 2 Let y(r) = 3*r - 63. Let v be y(21). Suppose 2*b - 180 + 46 = v. Calculate the remainder when b is divided by 35. 32 Let i = -30 + 63. Suppose 4*h = -5*t - 251, 0*h - 3*h - 2*t = 183. Let a = -40 - h. What is the remainder when i is divided by a? 14 Suppose 56792 = -92*r + 154*r. Calculate the remainder when r is divided by 227. 8 Let j = 34 + -22. Let t = -102 + 99. What is the remainder when (0/1 + t)*69/(-9) is divided by j? 11 Let f(b) = b**2 + 86*b + 342. Calculate the remainder when f(-92) is divided by 22. 14 Let s = 1038 - -384. What is the remainder when s is divided by 25? 22 Suppose 0 = 18*f - 9240 - 13253 + 3395. What is the remainder when f is divided by 15? 11 Let p = 11986 + -11816. Calculate the remainder when 533 is divided by p. 23 Let t(x) = -3*x**2 - 246*x - 3. Calculate the remainder when t(-78) is divided by 19. 2 Suppose 0 = 2*p + p - 135. What is the remainder when (2/6 + 4/6)/((-9)/(-1494)) is divided by p? 31 Let m(d) = -d**3 + 12*d**2 + 45*d + 29. Suppose 0 = -3*v - 4*h + 25, 25 = 18*h - 23*h. What is the remainder when 76 is divided by m(v)? 18 Suppose 622 = 38*i - 442. Let d be -3 + 1 + 2*3. Let m(w) = w**2 + w - 3. Calculate the remainder when i is divided by m(d). 11 Let l be (-1*3)/((-270)/(-180)). Calculate the remainder when 209 is divided by (-69)/(-138) + (-105)/l. 50 Let n = 609 + -605. What is the remainder when 67 is divided by (222/24)/((-2)/n)*-2? 30 Let m = 51 + -54. Let a be (2 + -33)/(-1) + m. Suppose 2*q + 4*i + 4 - 32 = 0, 3*i = -2*q + a. What is the remainder when 82 is divided by q? 12 Let v(k) = 2*k**2 - k + 2. Let w be v(0). Suppose -w*q - 58 = -544. What is the remainder when q is divided by 35? 33 Let t(i) = 45*i**2 - 42*i - 1. Calculate the remainder when 293 is divided by t(3). 15 Suppose -2706 + 8088 = 26*g. What is the remainder when 425 is divided by g? 11 Suppose 0 = -4*s + 1413 + 2115. Let f be (s/(-15))/(4/(-20)). Suppose 2*p + 3*p - 363 = -k, 4*p - k - f = 0. Calculate the remainder when p is divided by 15. 13 Let h = -2144 + 2226. What is the remainder when h is divided by 45? 37 Let o(g) = 8*g**2 + 4*g + 3. Calculate the remainder when (1422/(-45))/((-232)/580) is divided by o(-2). 25 Suppose 30*h - 3432 = -3*u + 26*h, -5*h = -2*u + 2265. What is the remainder when u is divided by 144? 132 What is the remainder when 1008 is divided by 12*((-923)/78 - -11) + 58? 0 Let w = 590 + -590. Suppose -530*a + 536*a - 360 = w. What is the remainder when a is divided by 7? 4 Suppose 0 = -3*g + 1259 + 1120. Let n be (-2)/(-4) + g/26. Suppose -y = y + 5*a - n, -y + 10 = -3*a. What is the remainder when 75 is divided by y? 10 Suppose v - 43 = -2*s + 115, 2*s + 2 = 0. Suppose 22*m - v - 148 = 0. Calculate the remainder when 40 is divided by m. 12 Let h = 298 - 298. Suppose -4*x = -h*x + 2*r - 30, 23 = 4*x - 5*r. What is the remainder when (-2)/(-9) - (-1166)/99 is divided by x? 5 Let j(m) = -m**3 + 6*m**2 - 2*m + 1. Let o(q) = -2*q + 45. Let v be o(17). Let z = 17 - v. Calculate the remainder when j(5) is divided by z. 4 Let w = -6639 - -6932. Calculate the remainder when w is divided by 44. 29 Let x = 113 + -101. Suppose -o = 3*o - x. Calculate the remainder when 26 is divided by o. 2 Suppose 980 = -12*p + 40*p. Suppose -5 = 5*u - 20. Suppose -u*n = -0*x - 4*x - 44, -3*x + 54 = 5*n. What is the remainder when p is divided by n? 11 Let i = 8795 - 4725. What is the remainder when i is divided by 34? 24 Suppose 10*t = 108*t + 58*t - 83148. What is the remainder when t is divided by 6? 5 Let o = 75 - 66. Suppose 0 = 3*r - 2*f - 124, 3*f = r - 33 - 6. Calculate the remainder when r is divided by o. 6 Let n = -8328 + 9526. Calculate the remainder when n is divided by 1. 0 Let h = -508 - -776. Let c(n) = -39443*n + 276111. Calculate the remainder when (3/(-6))/((-2)/h) is divided by c(7). 7 Let a(i) = 6*i**2 + 19*i + i**3 - 2*i**3 + 0*i**3. Let c = 3812 + -3804. What is the remainder when 46 is divided by a(c)? 22 Let p(l) = 6*l**2 + 686*l - 416. What is the remainder when 363 is divided by p(-115)? 11 Suppose 4*j = -5*z + 44301, -2*j + 22903 + 12545 = 4*z. What is the remainder when z is divided by 28? 17 What is the remainder when (16762/1445)/((-2)/(-20)) is divided by -1 + 1 + (-13)/(-1)? 12 Suppose 0 = i - 5*f - 18, -20 + 94 = 3*i + 5*f. What is the remainder when i is divided by (-30 - -32) + -18 + 29? 10 Let q(a) = 2*a + 10. Let k(p) = p - 1. Let b(g) = -3*k(g) + q(g). Calculate the remainder when b(-1) is divided by 7. 0 What is the remainder when 233 is divided by (-4*1)/(-2) - 2 - 20280/(-120)? 64 Let w = -1799 - -1807. What is the remainder when 10789 is divided by w? 5 Suppose 0 = -u + 2*u - 104. What is the remainder when u is divided by (1 - 9 - (-140 - -22))/2? 49 Let h = 4355 - 2276. What is the remainder when h is divided by 6? 3 Let w = -81 + 87. Suppose -w*p = 35 - 149. What is the remainder when 131 is divided by p? 17 Let u(n) = -22*n + 1690. What is the remainder when u(61) is divided by 71? 64 Suppose 279*r = 277*r + 242. Calculate the remainder when r is divided by 23. 6 Let t(a) = -a**2 + 94*a - 7. Calculate the remainder when t(80) is divided by 93. 90 Calculate the remainder when 1027 is divided by (-576)/(-504) + -1189*1/(-7). 1 Calculate the remainder when ((-40741)/(-393))/(2/30) is divided by 24. 19 Suppose 5*m - 53 = -g, 3*g - 316 = -2*m - 53. Calculate the remainder when 219 is divided by g. 33 Let r = 3409 + -3381. What is the remainder when 309 is divided by r? 1 Let u = 46 - 44. Suppose 6*k - u*k = 5*p - 159, p = 5*k + 15. Let o = -12 + p. What is the remainder when 89 is divided by o? 20 Let x(p) = -p**3 + 6*p**2 - 22. Let m be x(5). Suppose -12 = 4*q, 2*n + m*q = 13 + 24. What is the remainder when n is divided by 13? 10 Let v(k) = -12*k - 132. Let b be v(-18). Suppose -f = -5*t - 114, f - 93 = -0*f - 2*t. Let s = f - b. What is the remainder when 89 is divided by s? 14 Let h be ((-66)/(-9))/((14/48)/(-7)). Suppose -11 = -4*l + 33. Calculate the remainder when l is divided by 3/(-2)*h/66. 3 Suppose -3
{ "pile_set_name": "DM Mathematics" }
t is t rounded to 7 decimal places? -0.0000545 Let h = -15.3996412 - -15.4. Round h to 4 dps. 0.0004 Let o = 82.4815 - 84.354727. Let q = 1.872 + o. Round q to four dps. -0.0012 Let k = -39 - -35. Let g be ((-14)/k)/((-9)/144). Round g to the nearest integer. -56 Let u = 2.3 + -1.9. Let x = -48 + 48.438. Let w = u - x. Round w to two dps. -0.04 Let w = -1847.9 - -1940. Let b = 119.44 - w. Round b to zero decimal places. 27 Let s = 0.72 + -0.495. Let n = 27.003 + -27. Let d = s + n. Round d to 2 dps. 0.23 Let f = -30702.96 + 30371. What is f rounded to zero decimal places? -332 Let q = 156.495 - 156. Let i = q - 0.57. Let u = -9.875 - i. Round u to the nearest integer. -10 Let c(b) = -1632233*b - 670. Let p be c(10). Round p to the nearest one million. -16000000 Let c = -1.1278 + 1.127811303. What is c rounded to 6 dps? 0.000011 Let k = -0.04222 + 0.03676. Round k to 3 decimal places. -0.005 Let j = 1167.6162 + -1.3662. Round j to the nearest 10. 1170 Let q = 36057.99997604 - 36058. What is q rounded to six dps? -0.000024 Let g = -21527987.8098902 + 21527985. Let m = g - -2.81. Round m to five decimal places. 0.00011 Suppose -g - 15 = -17. Suppose -5*k = -b + 6, -g*b = 4*k + 3 - 15. Let p(r) = r**3 - 6*r**2 - r + 6. Let f be p(b). What is f rounded to 7 dps? 0 Let b = 8828 - 8827.92206. Round b to two dps. 0.08 Let c = 0.606 + -937.606. Let f = 931.23 + c. Round f to the nearest integer. -6 Let o = -2279 + 1611. Let g = 725.3 + o. Round g to 0 decimal places. 57 Let d = 28912627 - 28912641.720817. Let b = 14.72 + d. What is b rounded to 5 dps? -0.00082 Let y = 146.69 - 162.4684. Let v = y + 15.628391. Let k = v + 0.15. Round k to five decimal places. -0.00001 Let w = 1.122 + -10.542. Let n = -9.42002555 - w. What is n rounded to six dps? -0.000026 Let v = -2697.264 + 2685. Round v to the nearest integer. -12 Let p = 4678847 - 2396844. Let g = p - 7385003. Round g to the nearest one hundred thousand. -5100000 Let u = -0.56129 + 0.466. What is u rounded to 3 dps? -0.095 Let d = -0.143 + 0.152. Let z = 0.0322 - d. What is z rounded to two dps? 0.02 Let w = -212.28 + 20.88. Let o = w + 237. Let a = 26.5 - o. Round a to the nearest integer. -19 Let h = 242 - 174. Let p = 67.9999805 - h. Round p to 5 dps. -0.00002 Let k = 206.67086 + -5.72316. Let a = k + -201. What is a rounded to 2 decimal places? -0.05 Suppose -4 + 0 = -2*k, 3*k = -3*a + 12. Suppose -28 = -3*x + 4*p, p = -a*x - 3*x + 39. Let j = x + 82. What is j rounded to the nearest one hundred? 100 Let w = -3424.46 + 3586. Let f = -1.46 - w. Let n = 163.000103 + f. What is n rounded to five dps? 0.0001 Let a = 118.28 - 122. Let t = -19.77 - a. Let k = t - -0.15. Round k to the nearest integer. -16 Let c(g) = -g**3 - g**2 + 19*g - 68. Let u be c(0). Let s be (-286300015)/35 + u/(-28) + -2. What is s rounded to the nearest one hundred thousand? -8200000 Let v = 608.9994632 + -609. What is v rounded to five dps? -0.00054 Suppose 0 = -2*x + 14 + 132. Suppose -68*g - 57100 = -x*g. Round g to the nearest 1000. 11000 Suppose 5*p - g + 23630 - 3721 = 0, -5 = 5*g. Let m be -4 + 0 + 1 - -185*1. Let b = m + p. Round b to the nearest 1000. -4000 Let j(w) = -3*w**3 - w**2 - 2. Let i be j(-2). Suppose -753409 = -i*m - 155809. What is m rounded to the nearest 1000? 33000 Let j = -129.923 - -130. Let d = -2.123 - j. Let x = d - -4.1. Round x to 1 decimal place. 1.9 Suppose -723 = -3*n + 2*q + 2973, -n = 2*q - 1224. Suppose -6 = 2*j + 4, 5*x + 4*j - n = 0. Round x to the nearest 100. 300 Suppose -5163 = 6*x - 7*x. Suppose m = -4*d + 2894, -3*m = -d - 13832 + x. Let y = -6510 - m. Round y to the nearest 1000. -9000 Suppose -4*x - 17 = -21*x. Let c be 7 - (2 + x) - 6380008/2. What is c rounded to the nearest 100000? -3200000 Let l = 9 + -7. Suppose 2*c - 3*p = -506, l*c - c - 2*p + 255 = 0. Let q = c + -14653. Round q to the nearest one thousand. -15000 Let b = 305.08 - 305.0789244. Round b to three decimal places. 0.001 Let t = -8430017 - 6449983. What is t rounded to the nearest one million? -15000000 Let p = -1.6 + 16.2. Let d = 0.29 + 10.71. Let x = d - p. What is x rounded to zero decimal places? -4 Let b = 59.222 - 69.8. Let w = b - 0.012. What is w rounded to the nearest integer? -11 Let z = -5.57097 + -0.05803. Let o = z - 0.581. Round o to zero decimal places. -6 Let f = 10453 - -22669. Round f to the nearest 100. 33100 Let i = -4126.99993676 + 4127. Round i to 5 decimal places. 0.00006 Let y = 13558231128684 + -13558232846409.0849921. Let l = 1717725 + y. Let t = l + 0.085. What is t rounded to 6 dps? 0.000008 Let v = -65011.7 + 65012.075017. Let m = 28.004883 + v. Let y = m - 28.4. What is y rounded to two dps? -0.02 Let c = -274.4 - -12817.4. Let w = -12644.944 + c. Let z = -102 - w. What is z rounded to 2 decimal places? -0.06 Let c = -0.06 - 0.132. Let f = c + 0.091. Let j = -0.101055 - f. What is j rounded to 5 decimal places? -0.00006 Suppose 5*j + 58635280 - 187177369 = -4*y, -2*j + 51416858 = -4*y. Suppose j = -13*n + 9692421. Round n to the nearest one hundred thousand. -1200000 Let n = 0.7328 - -622.9672. Round n to the nearest 100. 600 Let b = 1688617 - 1688938.99415. Let c = -322 - b. Round c to 3 dps. -0.006 Let h(v) = -37 + 5 + 920*v - 2. Let y be h(9). Suppose -3*w - 1196 = -y. What is w rounded to the nearest one thousand? 2000 Let a = -141 + 80.7. Let r = -60.29997715 - a. Round r to 6 dps. 0.000023 Let x = 85 + -90. Let g be -250 + x + (-1 - -2). Round g to the nearest 10. -250 Let a = -1052908886 + 331167067. Let k = a - -721741804.99999923. Let h = k - -14. Round h to 7 decimal places. -0.0000008 Let z = 5745.9 - 4483.79. Let u = z - 1254. Let n = -0.19 - u. Round n to 0 dps. -8 Let t = 8.96940501 - 7.215802214. Let u = t + -167.753617896. Let g = -166 - u. Round g to five decimal places. 0.00002 Let v = 5.224 - 3.7984. What is v rounded to one dp? 1.4 Suppose 18*p = 2*p - 2*p + 56424600. Round p to the nearest 100000. 3100000 Let n = 524.223 - 0.223. Let w = -523.99713 + n. What is w rounded to four dps? 0.0029 Let h = 2592 + -1673. Let b = h + -266. Let l = -653.311 + b. What is l rounded to one decimal place? -0.3 Let j = 1613 - 1612.999982712. What is j rounded to six decimal places? 0.000017 Let a = -338946708.4000339 + 338946490.4. Let d = a - -218. Round d to six decimal places. -0.000034 Let k = 63.271 - 478.061. What is k rounded to the nearest integer? -415 Let f be 6/((-3)/(-7) + 165/154). Suppose -4*b = -b + m + 59, -f*b + m = 88. Let k be 5627999/(-7) - (-3)/b. Round k to the nearest one hundred thousand. -800000 Let m = -20298554.60347 + 20298679. Let x = m - 126.445. Let r = -2.05 - x. Round r to four dps. -0.0015 Let z = 0.035 + -3.035. Let w = -0.34 + z. Let a = 3.3400438 + w. Round a to 6 decimal places. 0.000044 Let p = -34 - -34. Suppose 2*w + 3*c = -p*w + 18379994, -5*w + 45949998 = c. Round w to the nearest one million. 9000000 Let f(y) = y**3 - 15*y**2 + 17*y - 7. Let i be f(14). Let d = i + -34. Let j be ((-250000)/(-3))/(d/36). What is j rounded to the nearest 1000000? 3000000 Let r = -0.0491 - -130.1691. What is r rounded to the nearest ten? 130 Suppose 3*a = -0*l - 2*l - 496002, -2*a - 8 = 0. Let n be 13/(-4) - -3 - l/(-20). What is n rounded to the nearest one thousand? -12000 Suppose j - 2151810 = 9*g, 0 = -g - 2*j - 172654 - 66436. What is g rounded to the nearest 1000? -239000 Suppose -5*v = -3 - 52. Suppose v = 6*w - 13. Suppose 0*t + 4*t = -4*b - 2216, 2207 = -w*t - b. What is t rounded to the nearest 10? -550 Let r = 437.8 + 20.2. Let x = r + -325.9. Round x to the nearest 10. 130 Let i = -118307 - -118295.0654. What is i rounded to the nearest integer? -12 Let p = -70870506623 - -70870507389.29991609. Let b = p + -766.3. Round b to 6 decimal places. -0.000084 Suppose 0 = 5*a - q + 2749996, -56*q + 20 = -61*q. Round a to the nearest 10000. -550000 Let o = -5.882 + 46.912. Let u = o + -0.03. Let g = u + -52.4. Round g to the nearest integer. -11 Let o = -37886.728 - -36943. Let v = o - -1108.7082. Let c = -165 + v. Round c to 3 decimal places. -0.02 Let c = -1489 - -1760.4. Let u = c + -324. Let t = u + 53. Round t to zero dps. 0 Let j = -62.7651 + -0.0349. Let g = -62.7923 - j. What is g rounded to 3 dps? 0.008 Let r = 45016 + -45015.9999996440
{ "pile_set_name": "DM Mathematics" }
25)). -4*sqrt(5) + 1 Simplify (sqrt(7)*-2)**2*5 + (sqrt(98)/sqrt(2) + sqrt(49))/sqrt(7). 2*sqrt(7) + 140 Simplify (sqrt(81)/(sqrt(9)*1))/(sqrt(18)/sqrt(6)*-2). -sqrt(3)/2 Simplify sqrt(72) + 1 + -3 + sqrt(72) + (sqrt(72) - (-1 + sqrt(72)))**2 + -4. -5 + 12*sqrt(2) Simplify -3 + (5*sqrt(1008)*2 + 1 + -1*sqrt(1008))**2. 216*sqrt(7) + 81646 Simplify sqrt(56)/(sqrt(8) + -3*sqrt(128) + sqrt(8)). -sqrt(7)/10 Simplify ((sqrt(363) - -6*(-1 + sqrt(363))) + (sqrt(363) - (0 + sqrt(363))*1) + sqrt(363))**2. -1056*sqrt(3) + 23268 Simplify -5*(-3 + -2*sqrt(1900)). 15 + 100*sqrt(19) Simplify ((sqrt(22) + sqrt(22)*-2)*5)/sqrt(11) + -4. -5*sqrt(2) - 4 Simplify (4 + (sqrt(50))**2)*-5. -270 Simplify (-1 + sqrt(200) + -2 + 0)**2 + 1. -60*sqrt(2) + 210 Simplify (sqrt(4)/sqrt(2)*5)**2 + -3 + sqrt(162). 9*sqrt(2) + 47 Simplify (-6*(sqrt(704) + 2) - sqrt(704))**2 + 5. 1344*sqrt(11) + 34645 Simplify 0 + (sqrt(2299) - (sqrt(2299)*2 - sqrt(2299)))**2 - sqrt(2299) - ((-6*-2*sqrt(2299))**2 + sqrt(2299) - sqrt(2299)). -331056 - 11*sqrt(19) Simplify (sqrt(119)*-2*4)/sqrt(7). -8*sqrt(17) Simplify (sqrt(242) + -1)**2 - (sqrt(18) + -1). -25*sqrt(2) + 244 Simplify -4 + (sqrt(320) - (sqrt(320)*-1)**2) + sqrt(320) - (1 + sqrt(320) + sqrt(320)*-1). -325 + 16*sqrt(5) Simplify (sqrt(152)/sqrt(4))/sqrt(2) + sqrt(209)/(sqrt(22)/sqrt(2)). 2*sqrt(19) Simplify 3 + -4*(sqrt(475)*-1)**2. -1897 Simplify (1 + sqrt(700)*-1 - sqrt(700))**2. -40*sqrt(7) + 2801 Simplify (sqrt(13) + 3 + 0 + sqrt(13) + -1*(sqrt(13) + 0 + sqrt(13) - sqrt(13)) + -2)**2. 2*sqrt(13) + 14 Simplify 1 + -4*((1 + sqrt(11))**2 + -1). -43 - 8*sqrt(11) Simplify 4*(sqrt(1100) + 3 - sqrt(11)) + -5. 7 + 36*sqrt(11) Simplify -3*(sqrt(612) + sqrt(612)*-1 - (-2 + sqrt(51)/sqrt(3)))**2. -63 + 12*sqrt(17) Simplify -6*sqrt(63)/(-3*sqrt(9)). 2*sqrt(7) Simplify (3 + sqrt(1539)*3)*-4. -108*sqrt(19) - 12 Simplify (-2*(sqrt(11) + sqrt(275))*-2)**2. 6336 Simplify ((sqrt(180)/sqrt(5))/sqrt(9))/sqrt(2). sqrt(2) Simplify (sqrt(384)/sqrt(4))/(sqrt(150)/sqrt(3)). 4*sqrt(3)/5 Simplify (sqrt(22)/(sqrt(11)*2))**2 + -5 + -1*sqrt(2). -9/2 - sqrt(2) Simplify ((sqrt(216) - sqrt(24))*-1)/((sqrt(12) - sqrt(192))*-3). -2*sqrt(2)/9 Simplify -2 + sqrt(40)/(2*sqrt(8))*-4. -2*sqrt(5) - 2 Simplify 4 + (sqrt(12)/sqrt(6))**2 + sqrt(2) - sqrt(16)/sqrt(2). -sqrt(2) + 6 Simplify (1*sqrt(13) + -3 - (sqrt(39)/sqrt(3) + 1)) + 5 + (sqrt(13) - sqrt(65)/(sqrt(10)/sqrt(2))). 1 Simplify (sqrt(18)/(sqrt(18)/sqrt(2)) + sqrt(2) + sqrt(2) - ((sqrt(2) - sqrt(8)/sqrt(4)) + 4)**2) + -3. -19 + 3*sqrt(2) Simplify 1*sqrt(60)/sqrt(432). sqrt(5)/6 Simplify ((sqrt(2057) + 0 - sqrt(2057)) + 1)**2. 1 Simplify (1 + sqrt(242))*-1 - (sqrt(242) + -5*(sqrt(242) - (sqrt(242) + sqrt(242) + -1)))**2. -8738 + 649*sqrt(2) Simplify 6*(4*(-1 + sqrt(13)))**2*1. -192*sqrt(13) + 1344 Simplify (3 + sqrt(448)*-2)**2. -96*sqrt(7) + 1801 Simplify sqrt(44)/(sqrt(576)*1 - sqrt(4))*6. 6*sqrt(11)/11 Simplify (1*sqrt(156)/(sqrt(84)/sqrt(7)))**2. 13 Simplify sqrt(14)/(-4*(sqrt(2) + sqrt(2)*1)) - sqrt(42)/(sqrt(18)/sqrt(3)*5). -13*sqrt(7)/40 Simplify (-4 + (sqrt(3) + -1*sqrt(3) - sqrt(3)))**2*-1. -19 - 8*sqrt(3) Simplify (sqrt(3) + (2*(0 + sqrt(3)) + sqrt(3))**2 + (-2*sqrt(27))**2)*1. sqrt(3) + 135 Simplify 3 + (sqrt(1539) - (sqrt(1539) + 1)*-6)**2. 756*sqrt(19) + 75450 Simplify (2*sqrt(600))/(sqrt(162)/sqrt(9)). 20*sqrt(3)/3 Simplify 5*sqrt(76)/sqrt(4) - -2*sqrt(76). 9*sqrt(19) Simplify (1*(1 + sqrt(425)))**2. 10*sqrt(17) + 426 Simplify (sqrt(2) - (-4 + sqrt(10)/sqrt(5)))*-3. -12 Simplify 0 + 5 + (-1 + sqrt(7))**2. -2*sqrt(7) + 13 Simplify ((5*(sqrt(170)/sqrt(5) + sqrt(34)))/(2*sqrt(2)*2 + sqrt(2)))**2. 68 Simplify (1*sqrt(3264))/(sqrt(27)/sqrt(81)). 24*sqrt(17) Simplify sqrt(252)*-1 + (sqrt(343)*-1)**2 + sqrt(7). -5*sqrt(7) + 343 Simplify ((sqrt(304) + 2 + sqrt(19) - sqrt(19)) + 2)**2. 32*sqrt(19) + 320 Simplify 1*sqrt(243)*1. 9*sqrt(3) Simplify (1*sqrt(77)*4 + sqrt(77))/((sqrt(28) + sqrt(56)/sqrt(2))/sqrt(4)). 5*sqrt(11)/2 Simplify ((sqrt(2448) + -1 + sqrt(2448) + 4 + sqrt(2448) - (2*sqrt(2448) + 3 - sqrt(2448)))*2)**2. 39168 Simplify (-1*(sqrt(304) - 1*sqrt(304)) + -2 + sqrt(304) + -1)**2*1. -24*sqrt(19) + 313 Simplify sqrt(33)/sqrt(12) + sqrt(11) + (0 + sqrt(11))*-5 + -1. -7*sqrt(11)/2 - 1 Simplify 0 + (sqrt(1152) - ((sqrt(1152)*1 - sqrt(1152)) + sqrt(1152)) - sqrt(1152))/(sqrt(81)*6). -4*sqrt(2)/9 Simplify sqrt(704)/sqrt(4) + -3 - (5 + (sqrt(11)*1)**2 - (1 + sqrt(11))*4). -15 + 8*sqrt(11) Simplify sqrt(243) + -4 - 5*sqrt(18)/sqrt(6). -4 + 4*sqrt(3) Simplify ((0 + sqrt(50) + -3)*1*6)**2. -1080*sqrt(2) + 2124 Simplify sqrt(34)/(sqrt(2) - sqrt(8)*-2). sqrt(17)/5 Simplify sqrt(325) + (-1*sqrt(325) + sqrt(325) + 1)**2 + 2. 3 + 5*sqrt(13) Simplify (sqrt(17) + sqrt(272) + 0)**2*6 + (sqrt(187) - (sqrt(187) + 1*sqrt(187)*1 - sqrt(187) - sqrt(187)))/sqrt(11). sqrt(17) + 2550 Simplify -4*(sqrt(176)*1 + -4). -16*sqrt(11) + 16 Simplify (-1*(sqrt(99) - sqrt(99)*1) - sqrt(99))/((sqrt(324)*1 - sqrt(324)) + sqrt(9)). -sqrt(11) Simplify 2*(-2*(-1 + sqrt(5)) + (0 + sqrt(605))**2). -4*sqrt(5) + 1214 Simplify ((sqrt(20) + (-2*sqrt(80))/sqrt(4))/(sqrt(100) - sqrt(100)*-2 - sqrt(4)))**2. 5/196 Simplify (-1 + 3 + -4*sqrt(1539))**2. -144*sqrt(19) + 24628 Simplify (2*sqrt(112) + 5)**2. 80*sqrt(7) + 473 Simplify (2 + 3 + -2*sqrt(5))**2 + (sqrt(180)*1*-1 + sqrt(180) + sqrt(180))**2. -20*sqrt(5) + 225 Simplify -4 + -6*(5 + (sqrt(2) - (sqrt(2) - sqrt(8)/sqrt(4)))). -34 - 6*sqrt(2) Simplify sqrt(36)/sqrt(300) + 0. sqrt(3)/5 Simplify (sqrt(171)/sqrt(3)*1)/(2*sqrt(108)). sqrt(19)/12 Simplify (-4 + -2*sqrt(2) - sqrt(24)/sqrt(108))**2. 56*sqrt(2)/3 + 242/9 Simplify 4 + (2*sqrt(13) + sqrt(13))**2 + 1. 122 Simplify (-5*(sqrt(88) - sqrt(88)*-1))/(sqrt(968) - (sqrt(968) + sqrt(968) + (sqrt(968) - sqrt(968)*2)) - sqrt(8))*3. 30*sqrt(11) Simplify (sqrt(32) + -2)**2 + sqrt(72)*-6. -52*sqrt(2) + 36 Simplify sqrt(12)/(1*sqrt(12)/sqrt(3)). sqrt(3) Simplify (sqrt(120)/(sqrt(8)*1))/(3*sqrt(10)/sqrt(2) + sqrt(5) + sqrt(5)). sqrt(3)/5 Simplify (sqrt(95) - 2*sqrt(95)*-1)/((sqrt(90)/sqrt(3))/sqrt(6)). 3*sqrt(19) Simplify (sqrt(242) + -1 - sqrt(242))**2 - ((sqrt(32))**2 + 0). -31 Simplify sqrt(325) - 6*(sqrt(325) - (sqrt(325) + sqrt(325) + -1 + sqrt(325))**2). -205*sqrt(13) + 17556 Simplify -3*(2 + sqrt(63) - (sqrt(56)*1)/sqrt(8))**2. -96 - 24*sqrt(7) Simplify ((6*sqrt(132)*-1 - sqrt(132)) + sqrt(132))/(1*sqrt(972)) + 3. -2*sqrt(11)/3 + 3 Simplify (-1*sqrt(847))**2 + -5. 842 Simplify -1*sqrt(55)/sqrt(5) - (5 + 2*sqrt(11)). -3*sqrt(11) - 5 Simplify (sqrt(22) - (sqrt(22) + (sqrt(22) - sqrt(44)/sqrt(2))*3 - sqrt(22)))/(sqrt(121)/sqrt(99)). 3*sqrt(2) Simplify -1*sqrt(50)/(-2*sqrt(1440)). sqrt(5)/24 Simplify (0 + sqrt(117))**2 + 4. 121 Simplify 1 + sqrt(343) + sqrt(7) + -1 + -2. -2 + 8*sqrt(7) Simplify (sqrt(12) + (sqrt(432)*1 - sqrt(12)))/(sqrt(28)/(sqrt(28)/sqrt(4))). 6*sqrt(3) Simplify (1*sqrt(405) - sqrt(405) - sqrt(405)) + -4 - sqrt(450)/sqrt(90). -10*sqrt(5) - 4 Simplify (sqrt(204) + (sqrt(204)*-1 - sqrt(204))*4)/(sqrt(84)/(sqrt(21)/sqrt(3))). -7*sqrt(17) Simplify -2 + -2 + sqrt(2) + 1 + sqrt(8). -3 + 3*sqrt(2) Simplify (6*sqrt(847))**2 - (sqrt(21) + sqrt(168)/sqrt(8))/sqrt(3). -2*sqrt(7) + 30492 Simplify 1 + (sqrt(133)/sqrt(7))**2 + (sqrt(114)/sqrt(6))**2 + -5. 34 Simplify (-2 + (sqrt(180)/sqrt(6))/sqrt(6))**2. -4*sqrt(5) + 9 Simplify -1*(sqrt(133) - (sqrt(133) + (sqrt(133) + (sqrt(133) + 3*sqrt(133) + sqrt(133))*6 - sqrt(133))))/sqrt(7). 30*sqrt(19) Simplify 3 + sqrt(152)/sqrt(8) + 2. sqrt(19) + 5 Simplify ((sqrt(13) - (1 + sqrt(13)*-2))*-4)**2. -96*sqrt(13) + 1888 Simplify sqrt(13) + ((sqrt(65)*2)/sqrt(5))**2 + (sqrt(13) - ((sqrt(130)*-1)/sqrt(10))**2). 2*sqrt(13) + 39 Simplify (4 + 1*sqrt(567) + (sqrt(567) - (4 + 1 + sqrt(567))))**2. -18*sqrt(7) + 568 Simplify (sqrt(720)*-2)**2*-4. -11520 Simplify sqrt(75) - (sqrt(75)*1)**2 - -2*(sqrt(3) - sqrt(75)). -75 - 3*sqrt(3) Simplify -2 + (1*1*sqrt(13) - (sqrt(208))**2*-5). sqrt(13) + 1038 Simplify (((-2*sqrt(68))/sqrt(2))/sqrt(2))**2. 68 Simplify (-6*(1 + sqrt(833)))**2 + sqrt(34)/(sqrt(2)*-1 - sqrt(2)) + 4. 1007*sqrt(17)/2 + 30028 Simplify sqrt(143)/(sqrt(33)/sqrt(3)*4) - ((2*sqrt(78))/sqrt(6) - (2*sqrt(208) + sqrt(13))). 29*sqrt(13)/4 Simplify (sqrt(384) - (-2*sqrt(384) - sqrt(384)))/(sqrt(48)/(sqrt(12)
{ "pile_set_name": "DM Mathematics" }
Let q be (-11)/(-3) - (-4)/a. Let f be c(q). Is -2 >= f? True Let x be (-4)/(48/(-14)) - 0. Let k = -5.618 - -2.618. Which is greater: x or k? x Suppose 3 = -2*r - 1, 4*c - 3*r = 14. Suppose -w - 3*y = -0*y + 15, 5*y + 29 = -c*w. Which is greater: -9 or w? -9 Let p(q) = -9*q + 1. Let i be p(7). Let z = i + 63. Is z < 8/17? False Let r be (2 + (-735)/12)*40/(-30). Which is greater: r or 85? 85 Let n = 324 - 227. Are n and 100 nonequal? True Let s be 3 - ((-68)/(-22) + 0). Suppose 6 = 4*a - 2*a. Which is smaller: s or a? s Let u = 44 - 19. Let x be 465/25 - 3/5. Let p = u - x. Is p at most as big as 7? True Let p = -0.04 + 2.04. Let t = 0.044 - 0.144. Is t at most as big as p? True Suppose h - 5*s = 16, -5*h - s + 102 = -4*s. Suppose 24 = n + p + 3*p, h = 2*n - p. Is -2/5 at most as big as n? True Suppose -33 = -3*a - 5*x, 63 = 4*a + 5*x + 24. Let m be 3/(-1) + 1 + a. Suppose 4 - 19 = -c + 3*g, 0 = g + m. Is c at most 4? True Suppose 0 = -7*k + 8*k - 5*l - 6, -3*k - 3*l = 0. Is k not equal to -3? True Suppose 9*b = 78 + 12. Suppose 0 = -h + 3*u + 16, -4*u - 2 - 6 = 2*h. Suppose -b*i = -6*i + h. Is i at most as big as 6/13? True Suppose 17*m - 18*m + 1 = 0. Let j be m/(-1) + (4 - (2 - -5)). Is -5 equal to j? False Let k = 274 - 217. Which is smaller: 56 or k? 56 Let k(g) be the first derivative of -g**2/2 + 8*g + 2. Let w be k(6). Suppose -5*v - 4*n + w = 0, 3*n = 3*v - n - 14. Is v not equal to -2? True Let j be 4/(-18) + (-58)/(-18). Suppose j*i + i = 5*m + 16, -2*i + 8 = -5*m. Which is smaller: m or 2/31? m Let h = 47 + -46.3. Let c = 19/5 + -18/5. Which is smaller: c or h? c Let h be (-142)/4 - (2/4)/(-1). Is h at least -34? False Let c be (-4)/(-34) + (-1 - (-7 - 1302/204)). Suppose 2*m + 50 - 5 = 3*l, 2*l = -2*m + 20. Which is smaller: c or l? c Suppose -240*u - 2 = -238*u. Let v be (-3 + 4)/(26/(-14)). Which is smaller: v or u? u Suppose -3*c - 5*v + 67 = 0, -153 = 4*c + 3*v - 224. Suppose -5*f - 43 = -3. Let a = f - -21. Which is smaller: c or a? a Let o = -2.588 - 0.012. Let f = o - 0.4. Is f not equal to 3/4? True Suppose -3*h + h - i = 188, 4*h - 2*i + 368 = 0. Let q = h - -63. Is q > -30? False Let g = -100 + 502/5. Which is smaller: g or -35? -35 Let j = -0.2 - -20.2. Let q = j - 17. Let h = q + -1. Which is bigger: 0 or h? h Let p(b) = 28*b - 394. Let d be p(15). Are d and 24 equal? False Suppose 608 = -j - j. Let t be -1 + (j/84)/(-4). Which is smaller: -0.1 or t? -0.1 Let w be (4/2 - 1) + -1. Let f be (-12)/(-10)*(-16110)/27. Let l be (2 - -1)*(4 + f/180). Which is greater: l or w? l Suppose 68*s - 57*s + 11 = 0. Which is greater: s or 2/867? 2/867 Let b be (4/(-14))/(1/112*-4). Let g be (-36 - -30)*(b/3 + 2). Is -29 bigger than g? False Let o be ((-3082)/28)/23 - -3. Which is bigger: o or 2? 2 Let u be 3/6 + 125/42. Let x = u + 1/42. Which is bigger: -3 or x? x Suppose 5*g + 2 = 7. Let m = 5 + -2. Suppose -m*z - 3*k = 0, 2*k = 4*z + 7 - g. Is z not equal to -1? False Let t = 1388/5 - 278. Let c be (-2)/(-5) + 2645/(-175). Let r = c + 15. Which is smaller: r or t? t Let r = -39 - -43. Let j(z) = -z**2 - 4*z - 3. Let v be j(-4). Which is smaller: r or v? v Let c = -8 + 13. Suppose -o = 5*x + o + 25, 0 = -c*x - o - 25. Let b = -6 - x. Which is smaller: b or -2/7? b Let a = -216 - -185. Let x = -32 + 34. Is x at least a? True Suppose -3*k + 4*a - 39 = 0, 0*a - 2*a + 6 = 0. Let x be k/(-90) + 2/(-4). Which is smaller: 2/3 or x? x Let s be 4/(0 - 2 - -3). Suppose -127 = 4*p + 5*y, 115 = -s*p - y - 0*y. Let g = -89/3 - p. Which is greater: -1 or g? -1 Let z(l) = -l**2 - 4*l + 4. Let i be z(-5). Let o be (-6*(i - 1))/1. Suppose 5*k = -y - 14, 12*y - 122 = 4*k + 30. Is o not equal to y? True Let l(s) = s**2 - 2*s + 1. Let a be l(5). Suppose 0 = 6*n - 9*n + 48. Is n greater than or equal to a? True Let f be ((-63)/(-35))/(((-2)/(-30))/1). Let v(b) = -b + 29. Let t be v(f). Does t = 2? True Let p = 35/26 + -3/2. Which is smaller: p or 2/101? p Let h be (6 - (-8)/(-2))*4/14. Which is bigger: 37 or h? 37 Let x = 17 + -13. Let n be x/(-8)*6 + 2. Is 1/24 >= n? True Let j = 15 - 21. Let q = j - -6.6. Which is greater: -2 or q? q Suppose 3*h + 4*j + 252 - 72 = 0, 2*h = -5*j - 120. Let z = h - -57. Which is smaller: -2 or z? z Let p be (-3)/(-2)*4/6. Let x be -1 - -1 - (-825)/53625. Which is smaller: p or x? x Let h be (14/(-8) - -8) + -2. Are h and 4 nonequal? True Let k = -2 - -4. Suppose 33*v - 25 = 8. Which is smaller: k or v? v Suppose -4*r + 10 = 5*g - 17, 5*g + 3*r = 24. Suppose 41 = g*u - 2*c - 59, -196 = -5*u - 4*c. Suppose -4*f = u + 64. Which is smaller: -24 or f? f Let q = -23 - -63. Let j be (q/6)/(10/45). Let k = j + -26. Which is smaller: k or 3/2? 3/2 Let i = -34233/16 + 2138. Which is bigger: -2 or i? i Let x = 128/11 - 618/55. Does x = -171.1? False Let d be (-8)/10*(-190)/4. Suppose 0 = 3*c + m - 115, -5*c + 12*m - 16*m = -194. Is d equal to c? True Suppose -64*m - 378 = -43*m. Which is smaller: -166/9 or m? -166/9 Let c be ((-18)/117 - (-40)/(-78))*3. Let f be (5/950)/(-2*c/10). Which is bigger: f or -1? f Let t = -44 - -50. Let p(z) = z**3 - 6*z**2 - 3*z + 14. Let m be p(t). Which is smaller: -18/7 or m? m Let c be (-62)/124 + 29/42. Is c at least -1? True Let s be 2/((-4)/2)*4. Let q = 32 - 33. Let o be (s - (-4 + -1))*q. Is o greater than or equal to 2? False Let u(k) = -k**3 - 5*k**2 - 6*k - 2. Let j be u(-4). Let b = j + -4. Suppose 0 = w - 3*w - b. Which is smaller: w or -2? -2 Let k = 7094 + -7106. Let m(o) = -13*o**3 - o**2 - 9*o + 11. Let f(l) = 6*l**3 + 4*l - 5. Let i(b) = -7*f(b) - 3*m(b). Let p be i(2). Is p bigger than k? False Let m(k) = -14 + k**2 + 8*k + k**2 - 16*k - k**2. Let p be m(9). Let v be 37/(-5) + 6/15. Which is bigger: p or v? p Suppose 0 = -0*w + 3*w. Let s = -24/41 + 29606/287. Let t = -102 + s. Are w and t unequal? True Let w = 38 + -23. Let y = w + -1. Is y at most -0.2? False Suppose 0 = -7*f - 30 + 37. Which is bigger: f or 1/559? f Let r = -0.053 + -125.947. Let d = r + 110. Is -0.1 bigger than d? True Suppose -2*a + 6*w - w = 44, -32 = 2*a - 2*w. Which is bigger: -100/9 or a? -100/9 Let w = -31.3 + 31.03. Let l = 1.33 + -0.23. Let h = l + -1. Is w greater than h? False Suppose 3*b + 4*a - 8 = 0, 3*b - 4*a + 3*a + 2 = 0. Suppose b - 12 = -4*q. Let z(k) = 5*k - 1. Let o be z(2). Is o > q? True Let s be (3/2)/((-22)/4). Let g be 3/6 + 18/(-12). Is g at least s? False Let w be -54 + 56 - (1 - -597). Which is smaller: w or -597? -597 Suppose -5*p - 5835 = 4*d - 1077, -4*p = -3*d - 3584. Is -1192 less than d? False Let w be 32/(-3)*135/90. Is w <= -79/5? True Let o = 2559 - 1692. Which is smaller: 868 or o? o Let w = -4.05 - -0.05. Let j = 17 - w. Let i = 22 - j. Which is smaller: 2/3 or i? 2/3 Suppose 8*b = 5*b + 27. Let f = -9 + b. Which is smaller: f or -1? -1 Let j = 33 - 27. Suppose 0 = -z - 3*x + 10, 0 = 2*z - 5*x + 4 - 2. Suppose -5*c - 4*d + 13 = 0, -c = c + z*d + 2. Which is smaller: c or j? c Let k = -361 + 1453/4. Let d be (-874)/(-360) - 4/10. Let f = k - d. Which is smaller: -2 or f? -2 Let d = -33 - -42. Let i = 9.2 - d. Which is smaller: -1.1 or i? -1.1 Suppose 0*k + 4*k - 12 = 0. Suppose 0 = g + j - 6, 0 = 4*g - k*j + 23 - 68. Suppose g = -3*p + 21. Are p and 4 equal? True Let s = -597.89 + 601. Let m = 0.89 + s. Which is bigger: 12 or m? 12 Let u = 0.0475 - -0.0525. Let v = 22 - 73. Which is bigger: v or u? u Let o be 2 - (0/4 + -1). Suppose -4*t + o = -t. Let c = -10/11 - 13/22. Is c >= t? False Suppose -9*x + 15 = 6. Which is smaller: x or 3/38? 3/38 Let z be ((-2)/6)/((-8)/(-6)). Let u(m) = 6 - 8 + 3 + 2*m. Let o be u(-1). Which is greater: z or o? z Suppose -4*p - 5 = p. Let i be ((-55)/33 - 2/(-3))*-6. Let q be (-16)/i - (p - 2). Which is smaller: q or -1? -1 Suppose 9*k = -9 - 486. Which is smaller: -37 or k? k Suppose -3*c + s - 6 = -13, 5*s + 23 = 3*c. Is c <= -3/17? False Let k be -2*(0 - 2/6)*21. Which is bigger: k or 15? 15 Let p = 162449/225 + -722. Are p and -1 equal? False Let r = 42 - 36. Let f(y) = -2*y**2 + 11*y - 4. Let b be f(r). Are b and -10 non-equal? False Suppose 3*y - 74 = 3*r - 5, -5*r - 75 = 3*y. Let h be 46/r + 2 - 4/(-18). Which is bigger: h or -0.3? -0.3 Let a = -47080/368057 - -2/7831. Is -1 smaller than a? True Let d = 2358 - 648449/275. Which i
{ "pile_set_name": "DM Mathematics" }
, 144 Solve -142*a**4/7 - 1710*a**3/7 - 558*a**2 + 5518*a/7 + 240/7 = 0 for a. -8, -5, -3/71, 1 Factor 2*g**3 - 1694*g**2 + 284592*g + 32870376. 2*(g - 462)**2*(g + 77) Determine b, given that 15*b**2 + 2001*b - 1206 = 0. -134, 3/5 Let a**2 - 4902*a + 73305 = 0. Calculate a. 15, 4887 Suppose -2*u**2/3 - 5376*u - 16126/3 = 0. What is u? -8063, -1 Let -3*x**2/4 + 284961*x - 27067590507 = 0. Calculate x. 189974 Factor 5*r**2 - 252690*r + 3192611805. 5*(r - 25269)**2 Factor -y**4/3 + 21611*y**3/3 + 216185*y**2/3 + 180175*y. -y*(y - 21621)*(y + 5)**2/3 Factor a**2 - 27634*a. a*(a - 27634) Suppose -43*u**2 + 1635*u/2 - 2259/2 = 0. Calculate u. 3/2, 753/43 Determine l, given that l**2/2 - 78277*l/2 + 39138 = 0. 1, 78276 Determine q so that 2*q**4 + 54*q**3 + 262*q**2 - 1590*q - 1800 = 0. -15, -1, 4 Solve i**3 + 320*i**2 - 1293*i + 972 = 0. -324, 1, 3 Factor q**4 + 4393*q**3. q**3*(q + 4393) Determine t so that -t**5 + 12*t**4 + 216*t**3 - 4374*t**2 + 24057*t - 39366 = 0. -18, 3, 9 What is r in r**5 - 120*r**4 + 864*r**3 + 14526*r**2 + 50463*r + 53946 = 0? -3, 18, 111 Suppose 5*v**3/2 - 27235*v**2/2 + 20063820*v - 4051537560 = 0. What is v? 239, 2604 Solve -2*l**3/7 + 3900*l**2/7 + 58950*l/7 = 0 for l. -15, 0, 1965 Let 7322436128*c**3 + 7323162224*c**2 + 726114*c + 18 = 0. What is c? -1, -3/60508 Factor -8*h**2 + 124*h + 98532. -4*(h - 119)*(2*h + 207) Solve 10*h**3 + 1535*h**2 - 775*h - 770 = 0 for h. -154, -1/2, 1 Suppose -2*l**4 - 1619968*l**3/9 - 36450359920*l**2/9 - 80993520128*l/9 - 16198560032/9 = 0. Calculate l. -44998, -2, -2/9 Let -5*l**3 - 45005*l**2 - 89990*l = 0. Calculate l. -8999, -2, 0 Find o, given that 2*o**4/3 + 194*o**3/3 + 1312*o**2 - 18136*o/3 + 18944/3 = 0. -64, -37, 2 Factor 2*c**2/15 + 89276*c/5 + 2988826566/5. 2*(c + 66957)**2/15 Let -4*x**3 - 36*x**2 + 228*x + 260 = 0. Calculate x. -13, -1, 5 Factor -3*n**3 - 6891*n**2 + 503970*n - 980352. -3*(n - 69)*(n - 2)*(n + 2368) Factor -3*r**3 + 12456*r**2 - 37347*r + 24894. -3*(r - 4149)*(r - 2)*(r - 1) Let 2*a**2/7 + 133656*a/7 + 2232990792/7 = 0. What is a? -33414 Find i such that 5*i**4 - 2025*i**3 + 178810*i**2 + 180840*i = 0. -1, 0, 132, 274 Let -2*y**2/9 - 13316*y/9 - 4438/3 = 0. Calculate y. -6657, -1 What is p in 4*p**5/5 + 368*p**4/5 - 43632*p**3/5 + 128648*p**2/5 - 127892*p/5 + 42504/5 = 0? -161, 1, 66 Factor -c**2 - 24754*c + 74271. -(c - 3)*(c + 24757) Find x such that -2*x**5/5 - 622*x**4/5 - 49886*x**3/5 - 236538*x**2/5 - 187272*x/5 = 0. -153, -4, -1, 0 Suppose -21*o**5 - 387*o**4 - 1191*o**3 + 1827*o**2 + 3912*o + 1260 = 0. Calculate o. -14, -5, -1, -3/7, 2 Factor 2*j**2/3 - 24142*j/3 + 168896/3. 2*(j - 12064)*(j - 7)/3 Factor 31*u**3/8 - 25*u**2/4 - 31*u/8 + 25/4. (u - 1)*(u + 1)*(31*u - 50)/8 Factor y**3/3 + 526*y**2/3 - 5371*y/3 - 5896/3. (y - 11)*(y + 1)*(y + 536)/3 Factor -u**2/9 - 413*u/9 + 416/3. -(u - 3)*(u + 416)/9 Suppose w**2/2 + 595*w/2 - 597 = 0. What is w? -597, 2 Factor -5*i**5 + 1860*i**4 + 5610*i**3 + 5620*i**2 + 1875*i. -5*i*(i - 375)*(i + 1)**3 Solve 452*a**2 - 15824*a + 140 = 0 for a. 1/113, 35 Determine w, given that -w**5 - 452*w**4/3 + 1325*w**3 - 20*w**2 - 9572*w/3 - 1696 = 0. -159, -1, -2/3, 2, 8 Solve 5*b**2 + 1304740*b + 85117323380 = 0 for b. -130474 Find h such that 5*h**3 + 11905*h**2 + 7056595*h - 35581225 = 0. -1193, 5 Solve z**3 - 19*z**2 + 94*z - 120 = 0. 2, 5, 12 Factor -o**4 - 2263*o**3 + 4529*o**2 - 2265*o. -o*(o - 1)**2*(o + 2265) Factor 2*y**2/5 - 393292*y/5 + 19334824658/5. 2*(y - 98323)**2/5 Factor 3*l**3 - 8856*l**2 - 26595*l. 3*l*(l - 2955)*(l + 3) What is c in 3*c**2/4 + 104427*c/4 + 130515 = 0? -34804, -5 Find f, given that -f**3 + 2116*f**2 + 2119*f - 4234 = 0. -2, 1, 2117 Suppose x**2/3 - 16342*x/3 + 66765241/3 = 0. What is x? 8171 Solve -6*j**3/11 - 346352*j**2/11 - 115450*j/11 = 0. -57725, -1/3, 0 Solve l**4/7 - 388*l**3/7 - 389*l**2/7 = 0. -1, 0, 389 Solve -5*v**2 + 73215*v = 0. 0, 14643 Find z such that -997*z**4 + 995*z**3 + 999*z**2 - 995*z - 2 = 0. -1, -2/997, 1 Factor y**2/4 - 3369*y/4 + 842. (y - 3368)*(y - 1)/4 Suppose 4*f**2 + 129996*f - 130000 = 0. What is f? -32500, 1 Suppose p**2/6 - 327959*p/3 + 107557105681/6 = 0. What is p? 327959 What is b in b**2/3 + 4952*b/3 + 19792/3 = 0? -4948, -4 Suppose 2*u**3/5 - 304*u**2/5 + 6442*u/5 - 11684/5 = 0. What is u? 2, 23, 127 Determine i, given that 3*i**2 - 41139*i + 41136 = 0. 1, 13712 Factor v**2/4 - 272*v - 1641. (v - 1094)*(v + 6)/4 Factor -5*r**2 + 15515*r + 804270. -5*(r - 3154)*(r + 51) Solve 3*n**4 + 658*n**3 - 3815*n**2 + 2250*n = 0. -225, 0, 2/3, 5 Find n, given that n**5/2 + 743*n**4/2 + 2211*n**3/2 - 6655*n**2/2 + 1850*n = 0. -740, -5, 0, 1 Suppose 14659488*s**3 - 692208*s**2 + 1050*s + 196 = 0. What is s? -2/141, 7/228 Factor 115*b**2 - 21195*b - 14800. 5*(b - 185)*(23*b + 16) Solve -2*s**2/3 + 322*s/3 - 8060/3 = 0 for s. 31, 130 Factor 2*v**2/11 + 96*v/11 + 504/11. 2*(v + 6)*(v + 42)/11 Factor 2*j**3 + 92*j**2 + 1392*j + 6912. 2*(j + 12)*(j + 16)*(j + 18) Determine d, given that d**4/4 - 2849*d**3/2 + 24160*d**2 - 178911*d/2 - 460161/4 = 0. -1, 9, 5681 Determine x so that -4*x**3 + 15071*x**2 - 14194056*x - 3549456 = 0. -1/4, 1884 Find c, given that 5*c**2 - 3055*c - 50160 = 0. -16, 627 Factor -4*o**3 + 1752*o**2 - 10400*o + 13824. -4*(o - 432)*(o - 4)*(o - 2) Factor o**3/3 - 2816*o**2/3 - 3760*o. o*(o - 2820)*(o + 4)/3 Solve -a**4 + 938*a**3 + 1885*a**2 - 4694*a - 5640 = 0 for a. -3, -1, 2, 940 Determine t so that 8*t**3 - 789496*t**2 - 789502*t - 197376 = 0. -1/2, 98688 Suppose 5*x**3 + 560*x**2 + 8225*x + 14250 = 0. What is x? -95, -15, -2 What is y in -2*y**4 - 164*y**3 - 1002*y**2 + 3960*y + 27000 = 0? -75, -6, 5 Solve 4*l**3 - 129624*l**2 + 1050019200*l + 2100556928 = 0 for l. -2, 16204 Factor -3*j**3/4 + 75*j**2 + 12183*j/4. -3*j*(j - 131)*(j + 31)/4 Let -100*q**4 - 108520*q**3 - 238416*q**2 - 168984*q - 38988 = 0. What is q? -1083, -1, -3/5 Find a such that -2*a**3/11 - 1152*a**2/11 + 9474*a/11 + 75920/11 = 0. -584, -5, 13 Let -3*x**5/7 - 972*x**4/7 - 101922*x**3/7 - 3112884*x**2/7 + 36038925*x/7 - 32823144/7 = 0. Calculate x. -111, 1, 8 Solve -3*h**3/5 + 141939*h**2/5 - 335820573*h + 1007206245 = 0. 3, 23655 Factor k**3/7 - 733*k**2/7 - 4*k/7 + 2932/7. (k - 733)*(k - 2)*(k + 2)/7 Factor -5*u**3 - 2875*u**2 - 366715*u + 369595. -5*(u - 1)*(u + 193)*(u + 383) Factor -34*d**2 - 11392*d + 22920. -2*(d - 2)*(17*d + 5730) Find l such that l**2/8 + 2314*l + 129535/8 = 0. -18505, -7 Solve 6*n**4/5 - 1344*n**3/5 + 7848*n**2/5 + 192*n/5 - 41856/5 = 0 for n. -2, 4, 218 Let 7*b**3 + 646*b**2 - 1811*b - 570 = 0. What is b? -95, -2/7, 3 What is k in 196*k**5 + 1260*k**4 + 3173*k**3 + 3928*k**2 + 2397*k + 578 = 0? -2, -17/14, -1 Factor -5*a**2 + 160310*a - 1284964805. -5*(a - 16031)**2 Let 8*j**3/7 + 5082*j**2 - 420434*j + 733536/7 = 0. What is j? -4528, 1/4, 81 Find a, given that 2*a**2/13 + 210904*a/13 + 210902/13 = 0. -105451, -1 Factor 3*s**2/8 - 9*s/8 - 2490. 3*(s - 83)*(s + 80)/8 Let 2*t**4 - 303896*t**3 - 1215606*t**2 - 1519516*t - 607808 = 0. What is t? -2, -1, 151952 Solve 5*r**5 + 14270*r**4 + 409475*r**3 - 423750*r**2 = 0. -2825, -30, 0, 1 Factor 2*h**3 + 28296*h**2 + 113160*h + 113152. 2*(h + 2)**2*(h + 14144) Factor -4*f**3/9 + 140*f**2/3 - 544*f/3 - 573376/9. -4*(f - 68)**2*(f + 31)/9 Suppose -2*j**2/11 + 40*j/11 - 150/11 = 0. What is j? 5, 15 Suppose 2*s**3/9 - 134*s**2/9 + 944*s/9 = 0. Calculate s. 0, 8, 59 Solve -4*c**4 - 2632*c**3 + 880704*c**2 + 947347272*c + 171997783236 = 0. -417, 593 Let j**2 + 8*j + 12 = 0. What is j? -6, -2 Solve -3*v**3/8 + 294123*v**2/8 + 147066*v + 294135/2 = 0 for v. -2, 98045 Suppose 4*h**2 - 2640*h + 301644 = 0. What is h? 147, 513 Solve -2*h**4 + 356*h**3 - 22746*h**2 + 606680*h - 5496776 = 0 for h. 19, 43, 58 Solve 25*w**4/3 + 177680*w**3/3 - 284452*w**2 + 597392*w/3 - 113792/3 = 0. -7112, 2/5, 4 Factor 3*n**4/5 + 5529*n**3/5 + 508944*n**2 - 2550252*n/5. 3*n*(n - 1)*(n + 922)**2/5 Find f, given that -3*f**2 - 32190*f - 64368 = 0. -10728, -2 Factor c**2/6 + 1225*c/3 + 28536. (c + 72)*(c + 2378)/6 Factor 4*h**4/5 - 884*h**3/5 + 25432*h**2/5. 4*h**2*(h - 187)*(h - 34)/5 Factor 5*t**5/2 + 5150*t**4 + 2626375*t**3 - 26651250*t**2 + 133903125*t/2. 5*t*(t - 5)**2*(t + 1035)**2/2 Factor -2*f**2/19 + 460464*f/19 + 9
{ "pile_set_name": "DM Mathematics" }
34. Let s(i) = -13*i - 52. Give -7*k(v) + 5*s(v). -9*v - 22 Let v(b) = b**2 - b + 1. Let q(c) = -c**3 - 2*c**2 + 2*c - 6. What is q(z) + 5*v(z)? -z**3 + 3*z**2 - 3*z - 1 Let j(d) be the third derivative of 7*d**4/24 + 4*d**3/3 + 7*d**2 - 10. Let o(f) = -3*f - 4. Determine -2*j(x) - 5*o(x). x + 4 Let w(p) be the first derivative of -12*p**3 + 19. Let o(g) = -g**3 + 6*g**2 + g - 2. Let i be o(5). Let j(h) = 4*h**2. Determine i*j(u) + 3*w(u). 4*u**2 Let n(x) = -67*x - 424. Let w(f) = -31*f - 212. What is 6*n(d) - 13*w(d)? d + 212 Let k(f) = -2*f**3 - 4*f**2 + f + 3. Let u(l) = -l**2 + l + 1. What is k(r) - 3*u(r)? -2*r**3 - r**2 - 2*r Let v(y) = -2*y**2 + 3*y + 4. Let m be v(3). Let x = -2538 + 2537. Let o(f) = f**3 - f**2 - 1. Let a(t) = -3*t**3 + 5*t**2 + 4. Determine m*o(i) + x*a(i). -2*i**3 + 1 Let f(j) = j**3 + j**2. Let l(t) = t**3. Let y be (-1 - 0) + 0 - 0. Suppose 11 = 5*k - 2*b, b - 3 = -2*k + 5. Give k*f(c) + y*l(c). 2*c**3 + 3*c**2 Let l = -2747 + 2758. Let n(s) = 4*s + 5. Let f(a) = a - 1. Let j be f(3). Let k(v) = -v - 1. Determine j*n(o) + l*k(o). -3*o - 1 Let n(k) = 3*k - 2 - 3*k + 2*k. Let c(g) = 1. Let t(f) = 3*c(f) + n(f). Let q(z) = 3*z + 13. Let d be q(-8). Let j(v) = 10*v + 5. What is d*t(y) + 2*j(y)? -2*y - 1 Let n(c) = -c + 18. Let q(j) = -20. Let b(i) = -7. Let m(k) = 14*b(k) - 5*q(k). Suppose 6 = -2*s + 16. Suppose 0*g = s*g - 90. Determine g*m(d) - 2*n(d). 2*d Let g(s) be the first derivative of -s**3/3 + s + 319. Let u(i) = 7*i**2 - 2*i - 9. What is 6*g(w) + u(w)? w**2 - 2*w - 3 Let c(f) = -6*f - 1. Let i(v) = -3*v + 4. What is -2*c(g) - i(g)? 15*g - 2 Let i(a) = 8*a**2 - 1. Let r(f) be the second derivative of -7*f**4/12 + f**2/2 - 73*f. Give -6*i(d) - 7*r(d). d**2 - 1 Let k(y) = -2*y**2 + 5*y + 5. Let q(o) = -o**2 + 2*o + 2. Let h = 495 - 491. What is h*k(t) - 10*q(t)? 2*t**2 Let n(s) be the second derivative of s**4/3 + s**3/2 - 7*s**2 - 192*s. Let h(i) = 6*i**2 + 5*i - 21. Determine -5*h(d) + 8*n(d). 2*d**2 - d - 7 Let z(d) = -d**2 - 3. Let n(q) = 4*q**2 + 11. Let o(l) = 5*l**2 - 1. Let r be o(-1). Let w be ((-80)/24)/(1/6). Let y be w/(-3) - r/6. What is y*n(x) + 22*z(x)? 2*x**2 Let m(p) = -13*p - 3. Let l(z) = 13*z + 3. What is 5*l(a) + 4*m(a)? 13*a + 3 Let x(i) be the third derivative of -i**4/12 + i**3/2 - 64*i**2. Let c(z) = -z + 3. Determine -3*c(n) + 2*x(n). -n - 3 Let l(j) = 7*j**3 + 6*j**2 + 5*j - 6. Suppose -p + 33 = 17. Suppose -m = -3*q, -4*m = q - 5*q - p. Let r(g) = -6*g**3 - 5*g**2 - 4*g + 5. Give m*r(o) + 5*l(o). -o**3 + o Suppose -2*g = -5*p + 18, -2*p = -g - 3*g - 4. Let o(q) = 2*q + 1. Let a(f) be the first derivative of f**2/2 + 65. Calculate g*o(t) - 3*a(t). -t + 1 Let x(o) = -116*o**2 + 2*o - 9. Let b(g) = g - 2. Calculate 4*b(r) - x(r). 116*r**2 + 2*r + 1 Let j(q) = 8*q**3 + 4*q**2 - 8*q. Let i(m) be the second derivative of 23/6*m**3 - 23/20*m**5 + 0*m**2 - 11/12*m**4 - 3*m + 0. Determine 6*i(n) + 17*j(n). -2*n**3 + 2*n**2 + 2*n Let i(w) = 2*w**3 + 5*w**2 + 10. Let h(r) = -r**3 + r**2 - 1. Calculate -4*h(x) - i(x). 2*x**3 - 9*x**2 - 6 Let h(i) = 3*i**3 + 20*i**2 + 8. Let l(d) = 17*d**3 + 100*d**2 + 41. Calculate 11*h(m) - 2*l(m). -m**3 + 20*m**2 + 6 Let y(i) = -30*i**3 + 3*i**2 - i + 2. Let f(j) = j**3 - j**2 + j - 2. Determine -3*f(c) - y(c). 27*c**3 - 2*c + 4 Let k(t) = -1209*t**3 - 4. Let d(j) = -3626*j**3 - 13. Determine -4*d(a) + 13*k(a). -1213*a**3 Let f(u) = 4*u + 10. Let x(w) = -5*w - 11. Let j(l) = 7*f(l) + 6*x(l). Let p(b) = 2 + 7 + 2 - 16 + 2*b. Give 6*j(g) + 5*p(g). -2*g - 1 Let s(p) be the second derivative of -7*p**2 + 0 - 5/3*p**3 + 4*p. Let z(k) be the first derivative of -k**2/2 - k - 14. Determine -s(o) + 12*z(o). -2*o + 2 Let h(f) = -4*f**3 - 3*f**2 - 5. Let y(j) = -7*j**3 - 5*j**2 - 9. Let z(v) = v**3 - 5*v**2 + 4*v + 1. Let k = -112 - -115. Let d be z(k). Give d*h(c) + 3*y(c). -c**3 - 2 Let t(u) = 2*u**2 - 1. Let g(b) = 7*b**2 + 2*b + 7. Determine g(o) - 4*t(o). -o**2 + 2*o + 11 Let g(s) = 7*s + 1. Let o be 7/((-63)/(-6))*(-78)/4. Let x = o - -19. Let n(b) = -13*b - 2. Calculate x*n(j) + 11*g(j). -j - 1 Let m(b) = -2*b**3 - b**2 - 4*b - 1. Let g(u) = -6*u**3 - 2*u**2 - 12*u - 3. Calculate 2*g(a) - 7*m(a). 2*a**3 + 3*a**2 + 4*a + 1 Let p(r) = -6*r**2 + 4*r - 1. Let m(a) = -5*a**2 + 3*a - 1. Let u be (0/(-2))/(6/3) - -2. Suppose -u*t = 3*t - 15. Give t*m(o) - 2*p(o). -3*o**2 + o - 1 Let f(c) = -c**3 - 11*c**2 + 21*c - 6. Let l(q) = 1 - 4*q + 0 + 2*q**2 + 0. Let w = 342 - 201. Suppose 9 = 12*t + w. Determine t*l(k) - 2*f(k). 2*k**3 + 2*k + 1 Suppose 4*q = -35 - 37. Let l be 2/2 + -4 + (-427)/(-61). Let o(n) = n**3 + 2*n**2. Let m(x) = 9*x**2 + 2*x**3 + 2*x**3 + x**3. Determine l*m(z) + q*o(z). 2*z**3 Let g(v) = v**2 + 2*v - 2. Let y(d) = d**3 + 4*d**2 - 4*d + 7. Let z be y(-5). Let l(o) = -8*o - 3*o - 173*o**z + 11 + 167*o**2. Calculate -22*g(a) - 4*l(a). 2*a**2 Let p(q) = 1 + q**3 + 0 - 2*q**2 - 3*q + 4*q**2. Let h(u) be the second derivative of u**3/6 - 84*u. Determine -3*h(y) - p(y). -y**3 - 2*y**2 - 1 Let s(q) = -4*q**2 + 2*q - 9. Let j(c) = 9*c**2 - 5*c + 18. Let a be -2*(0 + 15/6). Give a*s(p) - 2*j(p). 2*p**2 + 9 Let x = -234 + 231. Let z(y) = 7*y**3 + 8*y**2 - 8*y - 14. Let t(f) = 2*f**3 + 3*f**2 - 3*f - 5. Give x*z(v) + 8*t(v). -5*v**3 + 2 Let j(a) = 248*a**3 - 3*a**2. Let s(u) = 20335*u**3 - 245*u**2. Calculate 245*j(c) - 3*s(c). -245*c**3 Let c(f) = -7*f - 1. Let q(h) be the second derivative of 0 + 34*h - 1/6*h**3 + 0*h**2. What is -c(s) + 3*q(s)? 4*s + 1 Let j(f) = 5 - 8*f - 16 + 9. Let k(x) = x - 30 + 30. Calculate -j(i) - 6*k(i). 2*i + 2 Let d = -667 + 747. Let r(q) = 352*q**2 + 80*q. Let u(b) = 13*b**2 + 3*b. What is d*u(a) - 3*r(a)? -16*a**2 Let t(s) = 3*s**2 - s + 4. Suppose 5*p + 5 = -3*d + 87, -5 = 5*d. Let w(n) be the first derivative of 3*n**3 - 3*n**2/2 + 11*n - 105. What is p*t(b) - 6*w(b)? -3*b**2 + b + 2 Let u(f) = -10*f - 27. Let k(d) = -5*d - 13. Calculate -5*k(p) + 2*u(p). 5*p + 11 Let f(o) = 1754*o - 4. Let w(k) = 126280*k - 287. Calculate 287*f(h) - 4*w(h). -1722*h Let l(q) = -15*q**2 - 17*q. Let d(v) = 22*v**2 + 25*v. Let o(w) = 5*d(w) + 7*l(w). Let j(b) = 20*b**2 + 34*b**2 - b - 55*b**2. Calculate -6*j(h) - o(h). h**2 Let f(m) = 429*m**2. Let t(q) = 86*q**2. What is 5*f(u) - 26*t(u)? -91*u**2 Let z(y) = 1 + 0 + 1 + 2*y + 3*y**2 - 3 + 0. Let r(l) = -9*l**2 - 7*l + 3. Determine -2*r(w) - 7*z(w). -3*w**2 + 1 Let a(d) = -d. Let x(g) = -2*g**3 - g**2 + g + 2. Suppose -2*j + 14 = -4*z, -6*z + 4*z - 10 = -4*j. Calculate j*x(o) + a(o). -2*o**3 - o**2 + 2 Let a = -15 - -47. Suppose 52 = -30*f + a*f. Let l(s) = -2 - 3 - 7*s**2 + 21*s + 7*s**3 - f*s. Let c(i) = 4*i**3 - 4*i**2 - 3*i - 3. Calculate 5*c(z) - 3*l(z). -z**3 + z**2 Let t(m) = m. Suppose -o = -0*o + 1. Suppose -32*b + 82 = -142 + 64. Let n(g) = 6*g + 4. Calculate b*t(l) + o*n(l). -l - 4 Let g(b) = -b. Let s(h) = 21*h - 11. Determine g(i) - s(i). -22*i + 11 Let l(z) be the first derivative of -z**4/4 - 2*z**3/3 - 2*z - 72. Suppose 3 = h + 5. Let c(y) = y**3 + y**2 + 1. What is h*c(a) - l(a)? -a**3 Let l(h) be the first derivative of -h**2/2 - h + 102. Let g(a) = -a - 1. Let k = 3 + 1. Let s be (4/(-6))/((-1)/(-3)). What is k*l(o) + s*g(o)? -2*o - 2 Suppose -5*l + 3*l = -3*l. Suppose l = 3*x + 25 + 8. Let p(z) = -8*z - 6. Let i(m) = 15*m + 11. What is x*p(w) - 6*i(w)? -2*w Let c(f) = -6*f**2 - 11*f + 9. Let j(k) = 14*k**2 + 8*k - 6. Let o(u) = -6*u**2 - 4*u + 3. Let y(v) = 2*j(v) + 5*o(v). Determine 3*c(z) - 8*y(z). -2*z**2 - z + 3 Let u(f) = -4*f - 20. Let x be u(-4). Let k(d) = 11*d + 7. Let s(m) = 5*m + 3. Give x*k(g) + 9*s(g). g - 1 Let l(u) = 9*u**2 + 4*u - 3. Suppose 4*k - 7 = 3*q, 4*k - 21 = -3*q + k. Let d(a) = 4*a**2 + q*a - a - 2 + 1. Calculate -5*d(z) + 2*l(z). -2*z**2 - 2*z - 1 Let r(p) = -2*p**3 + 4*p**2 + 5*p + 2. Let t(d) = -34*d**2 - 29*d**2 - 6 + 51*d**2 - 14*d + 8*d**3 - 2*d**3. Calculate -14*r(w) - 5*t(w). -2*w**3 + 4*w**2 + 2 Suppose 6 = -2*m + b - 11, 3*m - b = -23. Let k = -159 + 160. Let u(r) = 3*r. Let o(h) = h. What is k*u(p) + m*o(p)? -3*p Let w(o) = -7*o**2 - 2*o + 4. Let s(y) be the first derivative of -7*y**3/3 - 3*y**2/2 + 5*y - 265. Give 4*s(n) - 5*w(n). 7*n**2 - 2*n Let w(u) = -196*u + 4. Let j(g) = 196*g - 6. What is 2*j(y) + 3*w(y)? -196*y Let q(b) = 182*
{ "pile_set_name": "DM Mathematics" }
placement from xffexifwxfifxcxx? 1/560 Three letters picked without replacement from {a: 3, j: 5}. What is prob of sequence jaj? 5/28 Two letters picked without replacement from yrddcdcdcbdd. What is prob of sequence dc? 3/22 Four letters picked without replacement from {g: 4, c: 1, q: 2, i: 2, w: 6, m: 2}. What is prob of sequence iqic? 1/14280 Calculate prob of sequence zb when two letters picked without replacement from bspnzbbppppzzzzszp. 1/17 What is prob of sequence fffy when four letters picked without replacement from {f: 11, y: 3}? 45/364 Three letters picked without replacement from ccccccccccccctcccc. What is prob of sequence ctc? 1/18 What is prob of sequence zlgh when four letters picked without replacement from hzlgh? 1/60 What is prob of sequence jra when three letters picked without replacement from tbrdrabrrdajr? 5/858 Two letters picked without replacement from {z: 7, w: 2, g: 4}. What is prob of sequence zw? 7/78 Calculate prob of sequence ql when two letters picked without replacement from {f: 1, j: 3, q: 6, b: 2, l: 2}. 6/91 Two letters picked without replacement from tlttltt. What is prob of sequence tl? 5/21 What is prob of sequence nzam when four letters picked without replacement from {z: 3, n: 2, a: 6, m: 2}? 3/715 Two letters picked without replacement from {n: 3, j: 3, s: 2, i: 1, h: 1}. What is prob of sequence jh? 1/30 Three letters picked without replacement from {m: 9, w: 2, e: 2}. Give prob of sequence mmw. 12/143 Four letters picked without replacement from tkwwwkhwwktuwkkkwww. Give prob of sequence ktwu. 3/2584 Calculate prob of sequence xiim when four letters picked without replacement from miwxmmmimmmmmm. 5/6006 Two letters picked without replacement from nqqnqqqnnqnnqrqqnr. What is prob of sequence rq? 1/17 Three letters picked without replacement from mggggguggpwumggguuug. Give prob of sequence mum. 1/684 Three letters picked without replacement from {i: 10}. What is prob of sequence iii? 1 Three letters picked without replacement from {s: 1, c: 1, o: 1, y: 2}. Give prob of sequence yoc. 1/30 Two letters picked without replacement from {b: 4, r: 2}. What is prob of sequence bb? 2/5 Calculate prob of sequence nne when three letters picked without replacement from {m: 5, n: 8, q: 1, t: 2, k: 3, e: 1}. 7/855 Two letters picked without replacement from rkrfrbkrvrrrmfmbr. What is prob of sequence kr? 1/17 Calculate prob of sequence knk when three letters picked without replacement from eeneooyooookykknooy. 2/969 What is prob of sequence eo when two letters picked without replacement from bobeeceeeobeeece? 3/40 What is prob of sequence ddqd when four letters picked without replacement from {d: 2, q: 6}? 0 Two letters picked without replacement from xdpdfplxxfrp. Give prob of sequence fx. 1/22 Calculate prob of sequence bj when two letters picked without replacement from {x: 1, q: 1, b: 1, j: 2}. 1/10 Four letters picked without replacement from {b: 6, n: 7, h: 6}. Give prob of sequence bhnb. 35/2584 Four letters picked without replacement from {w: 8, s: 6, g: 1}. Give prob of sequence wsgs. 2/273 Calculate prob of sequence rren when four letters picked without replacement from arraeaan. 1/840 What is prob of sequence jjjw when four letters picked without replacement from wjjjrjrjrwrw? 1/66 Calculate prob of sequence ui when two letters picked without replacement from {b: 1, a: 2, u: 1, q: 4, i: 2}. 1/45 What is prob of sequence vl when two letters picked without replacement from lllvvv? 3/10 Three letters picked without replacement from {b: 7, s: 1, v: 4, t: 1}. Give prob of sequence vsv. 1/143 Four letters picked without replacement from {e: 1, k: 4, z: 2}. What is prob of sequence kekk? 1/35 Two letters picked without replacement from {q: 6, m: 4, y: 7}. What is prob of sequence qy? 21/136 What is prob of sequence rr when two letters picked without replacement from {v: 2, l: 5, r: 6, b: 2, t: 1}? 1/8 Two letters picked without replacement from xdtxdxddxdxfqxtx. What is prob of sequence qx? 7/240 Three letters picked without replacement from cigrpccc. What is prob of sequence cgp? 1/84 Two letters picked without replacement from {x: 1, o: 2}. What is prob of sequence ox? 1/3 Four letters picked without replacement from {l: 4, w: 7}. What is prob of sequence wwlw? 7/66 Four letters picked without replacement from {q: 6, w: 1, a: 2, e: 7, p: 2}. Give prob of sequence qaea. 7/6120 Calculate prob of sequence dvzn when four letters picked without replacement from vznvzzntzvndtnvv. 1/546 Calculate prob of sequence iz when two letters picked without replacement from {z: 5, i: 5}. 5/18 What is prob of sequence nii when three letters picked without replacement from {i: 3, x: 2, n: 3}? 3/56 What is prob of sequence xxdn when four letters picked without replacement from {d: 1, x: 3, n: 11}? 11/5460 Two letters picked without replacement from ppvpppvpvvvvpppv. Give prob of sequence pv. 21/80 Four letters picked without replacement from pivxvppxpixizxpxzv. What is prob of sequence ivpi? 1/816 Two letters picked without replacement from {o: 4, v: 4, x: 1, s: 6, m: 1}. What is prob of sequence sm? 1/40 Two letters picked without replacement from wsw. What is prob of sequence ws? 1/3 What is prob of sequence ypy when three letters picked without replacement from {k: 1, s: 1, e: 2, y: 9, p: 4}? 6/85 Two letters picked without replacement from rrj. What is prob of sequence jr? 1/3 Two letters picked without replacement from {d: 2, m: 1, l: 1, z: 8, i: 2}. Give prob of sequence ml. 1/182 Calculate prob of sequence lv when two letters picked without replacement from vrvl. 1/6 Four letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqqq. 1 Calculate prob of sequence ccy when three letters picked without replacement from {c: 3, q: 2, y: 10}. 2/91 Two letters picked without replacement from {x: 5, k: 9}. Give prob of sequence kx. 45/182 Three letters picked without replacement from {e: 8, d: 8, f: 1, s: 1}. What is prob of sequence dfe? 2/153 Two letters picked without replacement from dddddddddddddddmdd. Give prob of sequence dd. 8/9 Calculate prob of sequence lt when two letters picked without replacement from {s: 3, x: 4, l: 1, t: 5, c: 6, w: 1}. 1/76 Two letters picked without replacement from {i: 3, r: 7, q: 2}. What is prob of sequence qq? 1/66 Calculate prob of sequence il when two letters picked without replacement from {g: 3, l: 5, i: 1, n: 1}. 1/18 Four letters picked without replacement from ryyyyvrxo. Give prob of sequence yvyo. 1/252 Calculate prob of sequence yhf when three letters picked without replacement from hqqnynhfqn. 1/360 What is prob of sequence vf when two letters picked without replacement from {f: 2, v: 2}? 1/3 Calculate prob of sequence uiiu when four letters picked without replacement from {u: 2, i: 5}. 1/21 Calculate prob of sequence eh when two letters picked without replacement from aeteha. 1/15 Three letters picked without replacement from phfpfhzhfph. Give prob of sequence fpp. 1/55 Calculate prob of sequence qa when two letters picked without replacement from qqaaaska. 1/7 Calculate prob of sequence fd when two letters picked without replacement from fdfdfdffdf. 4/15 Calculate prob of sequence st when two letters picked without replacement from qpqksqcpqqqqsqqqqpt. 1/171 What is prob of sequence fy when two letters picked without replacement from {j: 1, i: 1, f: 1, y: 4, h: 2, m: 3}? 1/33 Two letters picked without replacement from {t: 4, n: 6, u: 4}. Give prob of sequence tn. 12/91 Four letters picked without replacement from nnhhunrnhnnnnnnnnun. Give prob of sequence hhnu. 13/7752 Four letters picked without replacement from rryyyyrywwdw. Give prob of sequence rwrd. 1/660 Calculate prob of sequence drr when three letters picked without replacement from zrfrrzzdzz. 1/120 Calculate prob of sequence zzzo when four letters picked without replacement from zzzoozoooozgogoooz. 5/306 What is prob of sequence pp when two letters picked without replacement from {y: 2, p: 18}? 153/190 What is prob of sequence ww when two letters picked without replacement from {w: 10}? 1 Four letters picked without replacement from wjzjzzjeyjyjejzz. Give prob of sequence jyez. 1/364 Two letters p
{ "pile_set_name": "DM Mathematics" }
/5*o**3 - 60 - 3/5*o**4 - 423/5*o**2 = 0. -10, -1 Let t(y) be the third derivative of 9*y**2 - 1/2*y**3 + 0 + 0*y - 1/20*y**5 - 1/4*y**4. Solve t(l) = 0. -1 What is y in -6/13*y**2 + 0*y + 2/13*y**3 + 8/13 = 0? -1, 2 Factor 202*s - 3*s**3 - 6*s**3 - 3*s**3 + 32 + 80*s**2 - 78*s. -4*(s - 8)*(s + 1)*(3*s + 1) Find j such that 21 - 22*j**2 - 46 + 45*j - 5*j**3 + 7*j**2 = 0. -5, 1 Let p(x) be the third derivative of 3/16*x**4 + 34*x**2 + 0 + 1/4*x**3 + 0*x - 1/10*x**5. Determine g, given that p(g) = 0. -1/4, 1 Suppose 5*d - 2*d = 6. Let l = 11 + -9. Factor 0*n + 2*n - l*n**d - 5*n - n**2. -3*n*(n + 1) Determine i, given that -4/9*i - 2/9 - 2/9*i**2 = 0. -1 Let u(k) be the second derivative of -k**6/72 - k**5/8 + 5*k**4/6 + 5*k**3/6 - 14*k. Let q(x) be the second derivative of u(x). Factor q(v). -5*(v - 1)*(v + 4) Let k(o) be the first derivative of o**8/560 - o**6/40 - o**5/20 + 8*o**3/3 + 21. Let w(s) be the third derivative of k(s). What is y in w(y) = 0? -1, 0, 2 Let c be 6/27 + 7/9. Suppose -x = -4 + c. Find k, given that 6*k + 3*k - 150*k**x + 972*k**5 - 243*k**4 - k - 135*k**4 + 32*k**2 = 0. -2/9, 0, 1/3, 1/2 Let n(s) be the third derivative of -5*s**8/48 + 22*s**7/21 - 19*s**6/24 - 83*s**5/6 - 40*s**4/3 + 80*s**3/3 - 134*s**2 + 1. Find p such that n(p) = 0. -1, 2/7, 4 Let j = -2/125 + 35629/250. Let g = -142 + j. Factor -1/4*n**3 + 0 + g*n**4 + 0*n**2 - 1/4*n**5 + 0*n. -n**3*(n - 1)**2/4 Let i(k) = -2*k**2 + 42*k - 37. Let s be i(20). Let l = 1 - -1. Factor -3*o**3 + 2*o**s + o**3 - o**3 + 2*o**l - o. -o*(o - 1)**2 Suppose -2/11*r**4 - 96/11 - 14*r**2 + 20*r + 32/11*r**3 = 0. What is r? 1, 6, 8 Let l(h) = h**2 + 11*h + 9. Let x be l(-11). Let t be (6/x)/(-1)*18/(-10). Find r, given that 3/5 + t*r + 3/5*r**2 = 0. -1 Let y(i) be the second derivative of i**6/30 - 2*i**5/15 + i**4/6 + 7*i**2/2 + 9*i. Let g(x) be the first derivative of y(x). Factor g(f). 4*f*(f - 1)**2 Let m(i) be the third derivative of -i**5/420 - i**4/3 - 55*i**3/42 - 428*i**2. Factor m(k). -(k + 1)*(k + 55)/7 Let a(b) be the first derivative of 0*b - 4*b**2 - 1 + 2/3*b**3. Factor a(j). 2*j*(j - 4) Let m = 55 + -55. Let h be m/(5 - (-1 - (-4 - -1))). Factor 3/5*i**3 - 3/5*i**5 + 3/5*i**2 - 3/5*i**4 + h*i + 0. -3*i**2*(i - 1)*(i + 1)**2/5 Let f(a) be the third derivative of a**8/1120 - a**7/560 + 2*a**3/3 - 2*a**2. Let d(c) be the first derivative of f(c). Factor d(r). 3*r**3*(r - 1)/2 Let y = 4 - 57. Let x = 213/4 + y. Factor x*p + 1/4*p**2 - 1/4*p**3 - 1/4*p**4 + 0. -p*(p - 1)*(p + 1)**2/4 Factor -1/7*m**2 - 28 + 4*m. -(m - 14)**2/7 Let -36*h - 10*h**3 + 70*h - 29*h - 2 + 64*h**2 + 22 - 79*h = 0. Calculate h. 2/5, 1, 5 Suppose -569*b + 3495 = 411*b - 11205. Factor b*r**2 + 23/2*r**3 + 2*r - 4 + 5/2*r**4. (r + 1)*(r + 2)**2*(5*r - 2)/2 Let f = -13521/3091 - -3/281. Let k = 188/33 + f. Find c, given that -2/3*c**4 - 2/3 + 2/3*c**5 - k*c**3 + 2/3*c + 4/3*c**2 = 0. -1, 1 Let w(s) be the first derivative of -33*s**5/20 + s**4/2 + 13*s - 29. Let d(y) be the first derivative of w(y). Factor d(g). -3*g**2*(11*g - 2) Find c, given that 221/9*c + 35/9*c**3 - 107/3*c**2 + 578/9 - 1/9*c**4 = 0. -1, 2, 17 Suppose 4*w + 0 = 4*d + 4, -13 = -3*d - w. Determine k so that -2*k**d + 3*k - 8*k + 5*k + 6*k**2 = 0. 0, 3 Find y, given that 185*y**2 + 213 - 33 - 9*y**3 + 3*y**3 - 14*y**3 - 5*y**4 - 340*y = 0. -9, 1, 2 Let k be -16*-3*(-1)/(-2). Let j = -21 + k. Suppose -4*m**2 - 8*m**4 + m**5 - 3*m**5 - 10*m**j + 0*m**4 = 0. What is m? -2, -1, 0 Let q be (3 - 2)/(15/30). Let f(n) be the third derivative of n**q - 1/54*n**4 + 0*n**3 - 1/945*n**7 + 1/270*n**6 + 0 + 1/270*n**5 + 0*n. Solve f(h) = 0. -1, 0, 1, 2 Let j(c) be the second derivative of 5*c**4/2 + 47*c**3/3 + 6*c**2 - 28*c + 13. Suppose j(y) = 0. Calculate y. -3, -2/15 Solve -64/7*n**3 + 20/7*n**4 - 2/7*n**5 + 0*n + 0 + 64/7*n**2 = 0 for n. 0, 2, 4 Let z be 4/7 - (-99)/(-1386). Let v(l) be the first derivative of -1/3*l**3 + 2*l - z*l**2 - 7. Factor v(a). -(a - 1)*(a + 2) Suppose -26*w + 30*w = 8. Suppose a - w*a = -2*i - 5, 3*i + 3 = 0. Factor 0*x + 0*x**2 + 1/2*x**4 + 1/2*x**a + 0. x**3*(x + 1)/2 Suppose 4*p - y - 34 = -4, -4*p - 5*y = -42. Suppose -p*s + 17*s**2 - s**3 - 4*s**4 - 5*s**2 + s**3 = 0. What is s? -2, 0, 1 Let x be 32/5*63/126. Factor -16/5*g**4 - 76/5*g**2 - x - 56/5*g - 2/5*g**5 - 10*g**3. -2*(g + 1)**2*(g + 2)**3/5 Let r(t) be the third derivative of 7*t**7/12 - 7*t**6/240 - 27*t**5/20 - 17*t**4/12 - 2*t**3/3 + t**2 + 60*t. Solve r(g) = 0 for g. -2/5, -2/7, 1 Let c be 2/(-12) - 1546/12. Let s = -385/3 - c. Find t, given that s - 1/3*t**2 - 1/3*t**4 - t**3 + t = 0. -2, -1, 1 Let a(c) = 2*c**2 + 12*c - 12. Let x(b) = 114 - 3*b**2 - 3*b**2 - 37*b - 78. Let p(m) = -7*a(m) - 2*x(m). Let p(y) = 0. What is y? -6, 1 Let -232*y - 369*y - 269*y + 378*y**2 + 274*y + 4*y**3 - 86*y**2 + 300 = 0. Calculate y. -75, 1 Let w = 1/1328 + 659/6640. Let u(x) be the first derivative of -2/15*x**3 + w*x**4 + 0*x + 0*x**2 + 7. Let u(h) = 0. What is h? 0, 1 Let q(m) be the third derivative of 0*m + 0*m**3 + 1/90*m**6 + 0 + 1/9*m**5 - 12*m**2 + 2/9*m**4. Solve q(y) = 0. -4, -1, 0 Find a such that -10*a**2 - 5*a + 307 - 287 + 5*a**3 - 7*a**2 - 3*a**2 = 0. -1, 1, 4 Suppose -3*h + 45 = -4*r + 5, h = 0. Let o be (-4)/r + 32/(-80). Factor o*z + 0*z**2 - 3/5*z**4 - 3/5*z**5 + 0 + 0*z**3. -3*z**4*(z + 1)/5 Suppose 2*o + 6 = -3*g, -g = -2*g - 3*o - 9. Let f(d) be the second derivative of g - 3*d - 1/6*d**4 + 4/3*d**3 - 4*d**2. Factor f(k). -2*(k - 2)**2 Let y be ((-4)/(-3))/(2/3). Let i be (-4)/(-2) + (y - 0). Determine m so that 2*m + i*m**3 + m**2 - 3*m**3 - 6*m**3 - 7*m**3 + 9*m**4 = 0. -1/3, 0, 2/3, 1 Let a be -39*(-27)/15795 + 22/570. Solve -8/19*z + a + 6/19*z**2 = 0. 1/3, 1 Let r(f) be the first derivative of 0*f + 8 + 1/9*f**2 + 1/18*f**4 + 4/27*f**3. Factor r(k). 2*k*(k + 1)**2/9 Let h(v) be the third derivative of 0*v**4 + 1/100*v**6 + 0*v + 0 + 12*v**2 + 1/75*v**5 + 0*v**3 + 1/525*v**7. Let h(u) = 0. What is u? -2, -1, 0 Let l(c) = -c**3 - 16*c**2 - 30*c - 225. Let t be l(-15). Let 11/3*s**2 + t + 4*s**3 - 2*s - 5/3*s**4 = 0. What is s? -1, 0, 2/5, 3 Factor -4/9*y**2 - 68/9 + 8*y. -4*(y - 17)*(y - 1)/9 Let l(m) be the second derivative of 0*m**4 + 10*m + 0*m**2 + 1/6*m**6 + 0 + 1/2*m**5 + 0*m**3. Factor l(p). 5*p**3*(p + 2) Let n(a) be the first derivative of -4*a**4/15 - 2*a**3/15 + 6*a**2/5 + 19*a + 16. Let z(i) be the first derivative of n(i). Find s such that z(s) = 0. -1, 3/4 Let z = 27 + -19. Suppose -z*m + 9*m = -o - 2, 3*o - 3*m = 6. What is v in -1/2*v**3 + 1/4*v**4 + 0*v + 0 + 1/4*v**5 + o*v**2 = 0? -2, 0, 1 Let y(i) be the third derivative of i**5/30 - i**4/3 + i**3 + 36*i**2. Let y(b) = 0. What is b? 1, 3 Let m(i) be the first derivative of 2*i**3/9 + 7*i**2/3 + 70. Factor m(l). 2*l*(l + 7)/3 Let i(g) = 152*g**2 + 150*g - 4. Let p(u) = -u**3 + 304*u**2 + 300*u - 10. Let d(j) = -5*i(j) + 2*p(j). Let d(v) = 0. Calculate v. -75, -1, 0 Suppose 0 = -20*q + 73*q - 106. Factor 4/3*v**4 + 4/3*v - 4/3*v**3 + 8/3 - 4*v**q. 4*(v - 2)*(v - 1)*(v + 1)**2/3 Suppose -6 = -5*l - f, -7*f + 12 = 2*l - 5*f. Find t such that -4/7 + 6/7*t - 2/7*t**3 + l*t**2 = 0. -2, 1 Let j(f) be the first derivative of -f**3/7 + 87*f**2/7 + 177*f/7 + 92. Factor j(x). -3*(x - 59)*(x + 1)/7 Let x be 19/7 - (-40)/140. Suppose x*h - 4 = 5, 0 = -5*u + 5*h - 15. Find m, given that -4/9*m**3 + u*m - 2/9*m**4 + 0 - 2/9*m**2 = 0. -1, 0 Let u(m) = -5*m**4 - 90*m**3 - 335*m**2 - 400*m - 155. Let p(w) = 3*w**4 + 46*w**3 + 167*w**2 + 200*w + 78. Let r(j) = 5*p(j) + 2*u(j). Factor r(g). 5*(g + 1)**2*(g + 4)**2 Let a(i) be the first derivative of -i**6/24 + i**5/20 + 7*i**4/16 - 13*i**3/12 + 3*i**2/4 - 151. Find n, given that a(n) = 0. -3, 0, 1, 2 Let o(i) be the first derivative of -2*i**5/35 - 6*i**4/7 + 18*i**3/7 - 2*i**2 - 428. Factor o(g). -2*g*(g - 1)**2*(g + 14)/7 Let x be (5/4)/(7/(-56)). Let s = 18 + x. Factor 3*j**2 - 3*j**2 - s - 8*j - 2*j**2. -2*(j + 2)**2 Let r be 15*3 - 25/5. Let w be 20/5*(3 - 116/r). Factor 4/5*z**2 - 2/5*z**3 - w*z + 0. -2*z*(z - 1)**2/5 Determine m so that -3/7*m**2 + 48/7 + 18/7*m = 0. -2, 8 Let d be (11/(-2) + 4)*-2. Suppose -8 = -d*b + b. Factor 7 + 16*w - b*w + 1 + 4*w**2. 4*(w + 1)*(w + 2) Let n(w) be the second derivative of w**6/135 +
{ "pile_set_name": "DM Mathematics" }
site number? True Let j(b) = 2*b**3 - 14*b**2 + 18*b + 30. Let p be j(14). Is (-3)/(-4 + p/758) composite? False Let w(m) = 7*m - 35. Let x be w(7). Is x*(0 + 1) + (-2 - 1) prime? True Suppose -l - w + 2*w - 251 = 0, -2*l - 4*w = 478. Let n = l + 366. Is n prime? False Let l(k) = -295*k - 28. Let v be l(-13). Suppose 19822 - v = 5*q. Is q composite? False Suppose -2*y + 3*y = -2*v + 170, -5*y - 2*v + 866 = 0. Let o = y - 116. Is o a prime number? False Let m(l) = 20*l + 1. Let v(d) = 19*d + 2. Let q(y) = 6*m(y) - 5*v(y). Suppose j + 3*b = -b - 11, 5*j = 2*b + 11. Is q(j) composite? True Is ((-280)/(-60))/(2/3273) a prime number? False Let p(i) = -8*i**3 + 5*i**2 + 3*i - 4. Let n be p(-3). Is (n - 0) + 1*3 prime? True Suppose 2*f - 40 = -0*f. Let n be -4 - (-1601 - (4 + -6)). Suppose -f*z + n = -15*z. Is z a composite number? True Let w be -6 + (-7)/14*-20. Let j = -3 + 5. Suppose 0 = j*l + 2*l - 4*a - 48, w*a = -5*l + 15. Is l a composite number? False Let u = -9042 - -17823. Is u prime? False Suppose 4*q = 2*q + 1640. Is 1/(3 + q/(-275)) prime? False Let j be 1*(3 - 1 - -2). Suppose 0*o + 12 = -j*o, o = 5*n - 1058. Is n a prime number? True Let h be (-2 - -2 - 0) + 85. Suppose -c = -4*j - h, -5*c - 3*j + 379 = -0*j. Let r = c - 19. Is r prime? False Suppose 5*p + 6 - 1 = 0. Let m be (-2 - -4) + p + 1. Let z = m + 17. Is z a composite number? False Suppose 4*l = -523 - 1. Let o = 75 - 123. Let t = o - l. Is t prime? True Suppose -5*h = a - 13, 12 = -h + 3*h - 3*a. Let x be (3 - 1)*h/2. Suppose 5*j - i + 4*i = 179, -5*i - 121 = -x*j. Is j prime? True Suppose 3*i - 1780 + 19 = 0. Let f = 1376 - i. Is f a composite number? True Suppose 5*a + 1755 = 5*x, x = -x + 2. Let o = -201 - a. Is o prime? True Let x(v) = -v**2 - v + 2. Let z be x(-2). Let a be 3 - (4 + -3) - -383. Suppose -4*s - g + a = 0, -4*g = -2*s - z*g + 170. Is s composite? True Let a = -56687 + 130978. Is a prime? False Let t be (63/14)/(((-60)/1216)/(-5)). Let b(v) = -v - 7. Let q be b(-7). Suppose 2*p - 7*p + h = -1120, q = -2*p + 2*h + t. Is p composite? False Suppose -14*l + 44163 = -51947. Is l a prime number? False Let o(m) = 652*m - 63. Is o(5) prime? False Is 3/(-13) - 3047524/(-52) composite? True Let z = 38 - 45. Let o(l) = 7*l**2 - 9*l - 5. Is o(z) a prime number? True Let i be -1059*(-2 - (-16)/6) + -2. Let c = i + 1249. Is c a prime number? True Suppose 2*n - 4*n = 5*q + 14, -5*q = 4*n + 8. Suppose -930 = -n*k - 4*p + 1637, 5*k = p + 4263. Is k composite? False Let c(w) = -w**3 + 26*w**2 + 41*w - 34. Let u be c(19). Is ((-3)/6)/((-4)/u) a composite number? False Let v = 2495 + -1134. Is v composite? False Is ((-2159)/4)/(((-36)/(-16))/(-9)) a prime number? False Is -6 + -14 + 6 + 21873 composite? False Let a(g) = 3*g**2 + 12*g + 8. Let p be 0/(0 - (-1)/1). Suppose b + 9 = -p. Is a(b) a composite number? True Let l(m) = 43*m**3 - 6*m**2 - 8*m + 53. Is l(6) prime? False Let f = 655 - 314. Let y = f - 139. Is y a composite number? True Let s(g) = -8*g**3 + 3*g**2 - 2*g + 2. Suppose 27*a = 22*a - 15. Is s(a) prime? True Let n = -33 - -33. Let q be 589 + (n - 0)/3. Let x = q + -282. Is x a composite number? False Let j(z) = 0 - 4 - 7*z**2 + 14*z**2 + 5 + 3*z. Is j(-9) prime? True Let h = 29784 + -20031. Is h composite? True Is 2/(-4)*(-21806 + 0) a prime number? True Suppose 4 + 20 = 6*z. Suppose 5*w - 30 = u, z*u = 2*w - 1 - 29. Is 74/1*u/(-10) a composite number? False Suppose 2*o + 32 = 178. Let u = o + -36. Is u prime? True Let v(m) = 22539*m + 36. Let h be v(-3). Is ((2 - 1) + -4)*h/81 a prime number? True Let i(m) = 43*m + 5. Let k(u) = u**3 - 8*u**2 + 6*u + 5. Let z be k(7). Let b be (-1 - 3 - -2)*z. Is i(b) a composite number? True Let m be 9/(-6)*2/(-1). Suppose 0 = -m*i + 2 + 115. Is i a prime number? False Let t = -41 - -32. Is (t/18)/(1/(-282)) a composite number? True Suppose 13*k - 9*k = 2928. Suppose 139 + k = p. Suppose 4*g + 4393 = 5*f, 6*g = -f + 3*g + p. Is f a composite number? False Let x = -220 + 377. Is x/((3 - 7) + 5) prime? True Suppose 5*c + 10 = 0, 6*u = u + 3*c - 24. Let x(h) = -115*h - 29. Let n be x(-4). Is n/u*2*-3 a prime number? True Suppose -26*x + 1402 = -24*x. Is x composite? False Let k be (-2)/(-2) - (0 - 0 - 17). Suppose -13*m + k*m = 670. Is m a composite number? True Suppose k = 3*k - 2*o + 4, 0 = -4*k + o - 17. Let j(q) = -4*q**3 - q**2 + 5*q - 7. Is j(k) a prime number? True Suppose -2155 = -4*x + 3125. Let r = x - 715. Suppose -r = -t - 4*t. Is t composite? True Let w(v) = 1049*v**2 - 11*v + 27. Is w(2) a composite number? False Suppose 208659 = 4*b - 187625. Is b a composite number? True Suppose -8*c = -1834 + 282. Let t = c + 537. Is t a composite number? True Let r = 7613 + -4406. Is r prime? False Let a(h) = -51*h**2 - 11*h - 5. Let i(q) = -50*q**2 - 10*q - 4. Let r(v) = 5*a(v) - 6*i(v). Is r(4) prime? True Let v be (12/9 - 2)*-90. Let l be (-11 + 9)/((-2)/v). Suppose -3*r + 6*f - f = -170, r - l = 5*f. Is r prime? False Let d = -1702 + 2567. Is d a prime number? False Let d(z) = z**3 + 5*z**2 - 6*z + 4. Suppose n - 5*p + 16 = 0, 4*n - 2*p = -5*p - 18. Let r = n + 0. Is d(r) composite? True Suppose -15*b + 10068 = -11*b. Suppose -7*z = -b - 8102. Is z a prime number? False Let c(x) = 36*x**2 + 2*x + 37. Let b be c(-5). Suppose v = 4*m + b, -4*v + 2*m + 3603 = 7*m. Is v a prime number? True Suppose q = 4*j + 31, 3*q + 2*j + 21 = 4*q. Suppose -5*s - a = -q, a = -3*s - 0*a + 7. Suppose u = -s*u - 2*z + 43, 0 = 3*u - 5*z - 8. Is u prime? True Let l(w) be the second derivative of 5*w**4/4 - w**3/3 + 21*w**2/2 + 15*w. Is l(-6) a prime number? False Let m(q) = -3*q + 4. Let w be m(3). Let a be w + 2 - (1 - 1). Is a*(-2)/(-3) + 151 composite? False Let c be -2 + (0 - (-2 - 0)). Suppose 0 = -3*r - 5*x - 76, c = -x - 2 - 3. Is (336 + r)*(1 - 0) prime? False Let b be (0 + 3)/(-3)*-3. Let c be 0*((-10)/4 + b). Suppose c = d - u - 242, -4*u - 721 = -5*d + 2*d. Is d composite? True Let g(c) = 1851*c - 60. Is g(3) prime? False Let n(t) = 362*t**3 + t**2 - 3*t + 3. Is n(2) composite? False Is 2682/2 - 23/(276/24) a prime number? False Suppose -28 + 10 = -2*v. Suppose 0 = -4*o + v*o - 4065. Suppose 6*c = o + 81. Is c composite? False Let q = -5 + 5. Is 37 - (q/(-1))/(1/(-1)) a composite number? False Let n be (5 - -4 - 2)*-1. Let t(h) = 4*h**2 + 8*h - 9. Is t(n) composite? False Suppose 2891 = t + 732. Is t prime? False Let k be 3 - 0*3/(-9). Suppose 2*u - k = 59. Suppose 11 + u = 3*l. Is l a composite number? True Let d = -30881 - -96048. Is d prime? True Is ((-177)/(-4))/(5/60*3) composite? True Is (-2719188)/(-216) - (-2)/12 a prime number? True Let i = -36 - -82. Suppose -i + 4 = 3*z. Is (-1662)/z - 2/(-7) a composite number? True Is 9*(-2)/18*-3 + 17968 composite? False Let i(p) = 2*p**2 - 3*p + 17. Let c be i(-12). Suppose -5*z = g - 580 - c, 4*g = 4*z + 3636. Is g prime? True Let x = 24080 - 13897. Is x a composite number? True Let m(i) = i**3 + i**2 - 5*i - 4. Let f be m(-3). Let n(a) = -a - 13. Let b be n(f). Is b/(-33) + 458/22 a prime number? False Let s = 46 + -21. Suppose 11*t - 6*t + s = 0. Is (-446)/t + (-9)/45 composite? False Let q be 47/(-2 + 15/6). Let s = 11 + -38. Let m = s + q. Is m a composite number? False Let n(y) = y + 4. Let d(h) = -h - 3. Let x(z) = -6*d(z) - 5*n(z). Let a be x(6). Let p(o) = 17*o**2 + 5*o + 3. Is p(a) a prime number? False Suppose -284 = 55*b - 1230139. Is b a composite number? True Let j(y) = 183*y + 42. Let t be j(8). Suppose -t = h - 5267. Is h composite? False Let n = -89 + -134. Suppose 0 = -2*q + 1 - 149. Let i = q - n. Is i composite? False Let k = 27060 + -18311. Is k a prime number? False Let w(q) = -59*q + 143. Is w(-12) a composite number? True Let s = 27361 + 13288. Is s a prime number? False Let g(a) = a**2 + 9*a + 6. Let h be g(-9). Let z(o) = -4*o + 5*o - 20 + h + 5*o. Is z(6) a prime number? False Let f = 1038 + -775. Is f composite? False Suppose 9*q - 4*q - 263861 = -2*f, -f - q + 131932 = 0. Is f a composite number? False Let p(z) = -3*z**3 + 10*z**2 + 12*z + 24. Is p(-7) a composite number? False Suppose 0 = 40*n - 38*n - 7682. Is n a composite number? True Let d = -468 - -145. Let w = d + 814. Is w composite? False Let c(v) = -v**2 - 7*v - 5. Let z be c(-5). Let r(n) be the
{ "pile_set_name": "DM Mathematics" }
732*k + 3 What is the x'th term of 9316877, 37267544, 83851995, 149070236, 232922273, 335408112? x**3 + 9316886*x**2 + 2*x - 12 What is the m'th term of -6594, -26076, -58448, -103710, -161862, -232904? -6445*m**2 - 147*m - 2 What is the p'th term of 20871, 38740, 56611, 74484, 92359? p**2 + 17866*p + 3004 What is the v'th term of -4504, -1199, 2106, 5411, 8716? 3305*v - 7809 What is the h'th term of -9739, -9594, -9437, -9262, -9063? h**3 + 138*h - 9878 What is the h'th term of 147661, 295287, 442865, 590371, 737781, 885071, 1032217? -4*h**3 + 147654*h + 11 What is the l'th term of -14169, -29157, -44145? -14988*l + 819 What is the z'th term of 4053, 7893, 11795, 15783, 19881? 4*z**3 + 7*z**2 + 3791*z + 251 What is the v'th term of 1167, 2861, 5083, 7833, 11111? 264*v**2 + 902*v + 1 What is the p'th term of -569586, -569580, -569574, -569568? 6*p - 569592 What is the i'th term of 6065, 12082, 18041, 23912, 29665? -5*i**3 + i**2 + 6049*i + 20 What is the s'th term of 162579, 164818, 167071, 169344, 171643, 173974, 176343, 178756? s**3 + s**2 + 2229*s + 160348 What is the p'th term of 221143, 221165, 221187, 221209, 221231, 221253? 22*p + 221121 What is the a'th term of -5385, -42816, -144377, -342132, -668145, -1154480? -5344*a**3 - a**2 - 20*a - 20 What is the b'th term of -2365731, -2365731, -2365725, -2365713, -2365695, -2365671? 3*b**2 - 9*b - 2365725 What is the n'th term of -351, -344, -229, -6? 54*n**2 - 155*n - 250 What is the m'th term of 6044, 24666, 55862, 99632? 6287*m**2 - 239*m - 4 What is the n'th term of 2136, 4010, 5876, 7734, 9584? -4*n**2 + 1886*n + 254 What is the z'th term of 19188, 38085, 56982, 75879, 94776, 113673? 18897*z + 291 What is the t'th term of 204170, 408438, 612706, 816974, 1021242? 204268*t - 98 What is the q'th term of 6974045, 13948052, 20922059? 6974007*q + 38 What is the z'th term of 1729294, 3458621, 5187946, 6917269, 8646590, 10375909, 12105226? -z**2 + 1729330*z - 35 What is the y'th term of 15031, 14759, 14481, 14197, 13907? -3*y**2 - 263*y + 15297 What is the j'th term of 16359, 22863, 29367, 35871? 6504*j + 9855 What is the q'th term of 25533, 51055, 76571, 102087, 127609? q**3 - 9*q**2 + 25542*q - 1 What is the r'th term of -4916, -9439, -13964, -18491, -23020, -27551? -r**2 - 4520*r - 395 What is the c'th term of -4894, -9799, -14704, -19609, -24514, -29419? -4905*c + 11 What is the p'th term of 6984, 7208, 7432? 224*p + 6760 What is the y'th term of 890, 10578, 36836, 87950, 172206, 297890? 1381*y**3 - y**2 + 24*y - 514 What is the u'th term of 161918, 647181, 1455794, 2587757, 4043070, 5821733, 7923746? 161675*u**2 + 238*u + 5 What is the m'th term of -651, -1789, -3701, -6393, -9871? -m**3 - 381*m**2 + 12*m - 281 What is the y'th term of -2074696, -4149536, -6224376, -8299216, -10374056? -2074840*y + 144 What is the i'th term of 2347109, 4694228, 7041347, 9388466, 11735585? 2347119*i - 10 What is the o'th term of -379779106, -379779107, -379779108? -o - 379779105 What is the o'th term of 26487, 26595, 26703? 108*o + 26379 What is the v'th term of -713373, -713431, -713489, -713547, -713605? -58*v - 713315 What is the p'th term of -8129, -7479, -6401, -4901, -2985, -659, 2071, 5199? -p**3 + 220*p**2 - 3*p - 8345 What is the u'th term of 38831, 77661, 116491? 38830*u + 1 What is the f'th term of -98745, -394648, -887821, -1578264, -2465977? -98635*f**2 + 2*f - 112 What is the z'th term of -9832440, -19664883, -29497334, -39329793? -4*z**2 - 9832431*z - 5 What is the n'th term of 873, 3420, 7659, 13602, 21261, 30648, 41775? 2*n**3 + 834*n**2 + 31*n + 6 What is the w'th term of 1625, 6839, 15993, 29465, 47633, 70875? 63*w**3 + 1592*w**2 - 3*w - 27 What is the n'th term of -4764555, -19058185, -42880903, -76232709, -119113603, -171523585? -4764544*n**2 + 2*n - 13 What is the g'th term of -40, -401, -972, -1753? -105*g**2 - 46*g + 111 What is the z'th term of -35452388, -35452391, -35452394, -35452397, -35452400, -35452403? -3*z - 35452385 What is the m'th term of -807121, -807208, -807295, -807382, -807469? -87*m - 807034 What is the c'th term of 9756, 79253, 267884, 635217, 1240820, 2144261, 3405108? 9928*c**3 - c**2 + 4*c - 175 What is the l'th term of -706344, -706371, -706414, -706473, -706548? -8*l**2 - 3*l - 706333 What is the u'th term of -35301, -35331, -35381, -35451, -35541, -35651? -10*u**2 - 35291 What is the m'th term of -149, -342, -153, 838, 3051? 70*m**3 - 229*m**2 + 4*m + 6 What is the u'th term of -58383, -59233, -60649, -62631, -65179? -283*u**2 - u - 58099 What is the c'th term of 528, 725, 928, 1143, 1376, 1633? c**3 - 3*c**2 + 199*c + 331 What is the h'th term of 141842535, 141842538, 141842541, 141842544? 3*h + 141842532 What is the b'th term of -7157, -3541, 75, 3691, 7307, 10923? 3616*b - 10773 What is the f'th term of -1863339, -1863345, -1863351, -1863357, -1863363, -1863369? -6*f - 1863333 What is the d'th term of -836842, -3347424, -7531728, -13389754? -836861*d**2 + d + 18 What is the s'th term of -3210437, -3209986, -3209535, -3209084, -3208633? 451*s - 3210888 What is the l'th term of 63477556, 126955117, 190432678, 253910239, 317387800, 380865361? 63477561*l - 5 What is the j'th term of -17210, -34245, -51280? -17035*j - 175 What is the f'th term of 16171074, 32342145, 48513214, 64684281, 80855346, 97026409, 113197470? -f**2 + 16171074*f + 1 What is the j'th term of -78218, -78100, -77904, -77630, -77278, -76848? 39*j**2 + j - 78258 What is the u'th term of -31340, -30976, -30614, -30254, -29896, -29540? -u**2 + 367*u - 31706 What is the z'th term of -11744562, -11744554, -11744546, -11744538, -11744530? 8*z - 11744570 What is the o'th term of 2895, 22620, 75755, 178878, 348567, 601400? 2763*o**3 + 127*o**2 + 3*o + 2 What is the b'th term of -58292, -116649, -175034, -233453, -291912? -b**3 - 8*b**2 - 58326*b + 43 What is the r'th term of -8475, -33805, -75983, -135009, -210883, -303605? -8424*r**2 - 58*r + 7 What is the u'th term of -44067, -44099, -44149, -44211, -44279, -44347? u**3 - 15*u**2 + 6*u - 44059 What is the f'th term of 29332172, 58664345, 87996518, 117328691, 146660864, 175993037? 29332173*f - 1 What is the i'th term of 17497181, 17497168, 17497155, 17497142, 17497129, 17497116? -13*i + 17497194 What is the z'th term of 3650, 5413, 8374, 12539, 17914? z**3 + 593*z**2 - 23*z + 3079 What is the f'th term of 10940, 13619, 16298, 18977, 21656? 2679*f + 8261 What is the w'th term of 101594800, 203189599, 304784398? 101594799*w + 1 What is the o'th term of -4221853, -4221849, -4221845? 4*o - 4221857 What is the n'th term of 1696466, 3392912, 5089358, 6785804, 8482250, 10178696? 1696446*n + 20 What is the m'th term of -2386297, -2386296, -2386295, -2386294, -2386293, -2386292? m - 2386298 What is the j'th term of -225700, -451361, -677022? -225661*j - 39 What is the b'th term of -7794, -6233, -4672? 1561*b - 9355 What is the x'th term of -680480, -680328, -680074, -679718, -679260? 51*x**2 - x - 680530 What is the x'th term of 205114, 410231, 615350, 820471, 1025594, 1230719? x**2 + 205114*x - 1 What is the g'th term of -4094744, -4094742, -4094740, -4094738? 2*g - 4094746 What is the v'th term of 169, 405, 885, 1681, 2865, 4509, 6685? 12*v**3 + 50*v**2 + 2*v + 105 What is the t'th term of -89371, -357579, -804589, -1430401? -89401*t**2 - 5*t + 35 What is the w'th term of -41880, -44024, -47600, -52608, -59048, -66920? -716*w**2 + 4*w - 41168 What is the k'th term of 8806, 9043, 9280, 9517, 9754? 237*k + 8569 What is the p'th term of 107297, 429187, 965673, 1716755, 2682433, 3862707, 5257577? 107298*p**2 - 4*p + 3 What is the b'th term of 765573, 3062333, 6890267, 12249375? 765587*b**2 - b - 13 What is the u'th term of -18453440, -18453441, -18453442, -18453443, -18453444? -u - 18453439 What is the j'th term of -90189, -90195, -90201? -6*j - 90183 What is the g'th term of -23931, -47816, -71701, -95586, -119471? -23885*g - 46 What is the d'th term of 5749, 8006, 10265, 12526, 14789, 17054? d**2 + 2254*d + 3494 What is the a'th term of 4511100, 4511087, 4511074, 4511061? -13*a + 4511113 What is the o'th term of 261, -425, -4241, -13371, -29999, -56309, -94485? -364*o**3 + 619*o**2 + 5*o + 1 What is the k'th term of -13155, -26322, -39517, -52740, -65991?
{ "pile_set_name": "DM Mathematics" }
e 16, what is -890 + 1a47? 11b7 In base 4, what is -13132322132 - 30? -13132322222 In base 15, what is -2d - -42495c? 42492e In base 13, what is 1c18 - 3ca45? -3ab2a In base 3, what is -20110012112 + 12120121? -20020121221 In base 9, what is -407 + 338? -58 In base 4, what is 132 + -20031330111? -20031323313 In base 13, what is 26230 - -5b7? 26817 In base 6, what is -254100340 - 2? -254100342 In base 3, what is 12010112100100 - -102? 12010112100202 In base 5, what is -112110000 - 30? -112110030 In base 9, what is -53260 - -772? -52377 In base 10, what is -742093 - -1404? -740689 In base 10, what is 82633 - 33? 82600 In base 14, what is 1d3d4a - -652? 1d459c In base 16, what is 1d35 + -339? 19fc In base 7, what is -1354632564 + 14? -1354632550 In base 13, what is 1 - -1b39b583? 1b39b584 In base 5, what is 14 - -143442302214? 143442302233 In base 8, what is 1 - -674012335? 674012336 In base 5, what is -214 + -3330340223? -3330340442 In base 3, what is -1 - -220011022211? 220011022210 In base 15, what is 178419 - 9? 178410 In base 10, what is 23139 + -41956? -18817 In base 10, what is -1238 - 35394? -36632 In base 13, what is -51 - -165c8? 16577 In base 8, what is 2147 - 17570? -15421 In base 11, what is -63 - 99131? -99194 In base 7, what is -10011514 - -436? -10011045 In base 8, what is 207761 + -40? 207721 In base 4, what is 22013132201 + -13? 22013132122 In base 16, what is -86 + a2c1e? a2b98 In base 11, what is -3282 + -15862? -19034 In base 4, what is -1102220113020 - -102? -1102220112312 In base 3, what is -1201222 + 221100201? 212121202 In base 7, what is 10306661 + 26? 10310020 In base 15, what is -49 - -1a9bee? 1a9ba5 In base 8, what is 5120510 - 7? 5120501 In base 12, what is -57995b + -4? -579963 In base 14, what is -d - -b76680? b76671 In base 3, what is 1010220102 + 101211? 1011022020 In base 7, what is -314 - -6554? 6240 In base 11, what is 5 + 9119846? 9119850 In base 15, what is e075 - 4b? e029 In base 10, what is -855416145 - 3? -855416148 In base 8, what is 4551735 + 141? 4552076 In base 8, what is 4042372 + 11? 4042403 In base 3, what is -1000120211221 + -110? -1000120212101 In base 15, what is -ca5 + -3b757? -3c50c In base 5, what is 23 + 144001042? 144001120 In base 15, what is 19 + 1330a6? 1330c0 In base 8, what is -6252033 + -54? -6252107 In base 8, what is -7002 - -250727? 241725 In base 2, what is -1001101000011 + 11001011001? -110011101010 In base 14, what is -1 - -8dc984? 8dc983 In base 4, what is 2 + -13223330332003? -13223330332001 In base 13, what is 98b7 - -2c? 9916 In base 11, what is -539316 - 19? -539334 In base 16, what is -4 - -23f19f? 23f19b In base 16, what is -58 - -27c2? 276a In base 5, what is -2024 + 1032411124? 1032404100 In base 14, what is -7a5c4 + -47? -7a62b In base 14, what is 3da14849 - -1? 3da1484a In base 3, what is -200120022122 + -11221? -200120111120 In base 13, what is -3 - 7357274? -7357277 In base 7, what is -4053000 - 3155? -4056155 In base 7, what is -4 - -30043161? 30043154 In base 8, what is -116607 - -627? -115760 In base 6, what is -10 - 125443241? -125443251 In base 13, what is -3 + -12c21760? -12c21763 In base 8, what is -3 + -21122015? -21122020 In base 3, what is -11122012022 + 22100? -11121212222 In base 5, what is 142331401140 - 4? 142331401131 In base 5, what is -22413 + -10011? -32424 In base 13, what is -15c + 628856? 6286c7 In base 6, what is 1332421133333 + -3? 1332421133330 In base 11, what is 1 - 5109531? -5109530 In base 6, what is 45 - -10104022? 10104111 In base 6, what is 1020244101 + -2? 1020244055 In base 9, what is -2355614 - -5? -2355608 In base 7, what is -12 - 334450136? -334450151 In base 5, what is -14033211204 + 134? -14033211020 In base 11, what is -56855a - 66? -568615 In base 12, what is 15 + 4908372? 4908387 In base 8, what is 1 - 3731646? -3731645 In base 6, what is 2 - -3441011345? 3441011351 In base 3, what is -11 + 100020121111110? 100020121111022 In base 9, what is -4 - 10522527? -10522532 In base 11, what is 1067922 - -5? 1067927 In base 7, what is -25 - 14425100? -14425125 In base 2, what is 0 + 1000001001011000011001? 1000001001011000011001 In base 13, what is 2b + -30645? -30617 In base 15, what is 5d + -1bb87? -1bb29 In base 13, what is 69 + -43a865? -43a7c9 In base 5, what is 4323 - -1244? 11122 In base 16, what is -11073 + 25? -1104e In base 11, what is -329a06 - 1? -329a07 In base 10, what is -8922794 - 5? -8922799 In base 4, what is 3032 + -21030322? -21021230 In base 13, what is 4 + -15666908? -15666904 In base 5, what is 203301 + -1424324? -1221023 In base 8, what is 74 - 24213? -24117 In base 16, what is -787d - 3de1? -b65e In base 15, what is 1 + a19aa3? a19aa4 In base 2, what is -101 + -1010111011000? -1010111011101 In base 7, what is -365314061 - 1? -365314062 In base 13, what is 394844 + 5? 394849 In base 14, what is -26b2a + -37a? -270a6 In base 14, what is 10306417 - 0? 10306417 In base 16, what is -7e + -67f6? -6874 In base 9, what is 266387 - -6? 266404 In base 15, what is 6999 - 72? 6927 In base 13, what is 210 - -7927? 7b37 In base 11, what is 5711 + 1aa4a? 25660 In base 15, what is -1e + 1cd74b? 1cd72c In base 16, what is -9809 + 513? -92f6 In base 3, what is 121202012112 - -122? 121202020011 In base 13, what is -34a6237c + -5? -34a62384 In base 13, what is 3 + 760c90? 760c93 In base 2, what is 110111100100100100110110 + 10101? 110111100100100101001011 In base 8, what is 140 + -7170? -7030 In base 13, what is 2298 + 6b6a? 9135 In base 5, what is -2010 + -1344212232? -1344214242 In base 13, what is -a0390 + -65? -a0425 In base 16, what is -1 + -37e92f? -37e930 In base 10, what is -66837940 + -4? -66837944 In base 12, what is 21 + -1211a1? -121180 In base 3, what is 12101212 - -1112212? 20221201 In base 4, what is 23 - 33331120001? -33331113312 In base 15, what is 137c76 - a1? 137bc5 In base 11, what is 159 - 77546? -77398 In base 3, what is 1200122100 + -212200? 1122202200 In base 9, what is 0 - 4472643? -4472643 In base 9, what is -11 + 32612586? 32612575 In base 14, what is -39c3 - 2b5? -3c98 In base 6, what is -34524 + -20121? -55045 In base 7, what is 606 - -604613? 605522 In base 11, what is -379 + -19068? -19436 In base 7, what is -223243 + 120? -223123 In base 10, what is 43 - -102575? 102618 In base 6, what is -4 + 311211453? 311211445 In base 6, what is 550341324 - 2? 550341322 In base 15, what is -53 - 6444c? -644a0 In base 3, what is 22 + 100222202112002? 100222202112101 In base 5, what is -13321034 + 1424? -13314110 In base 3, what is -2 - 1022022022111111? -1022022022111120 In base 6, what is 120 + -103353542? -103353422 In base 5, what is -4402221213 + -13? -4402221231 In base 12, what is -13b70967 + -3? -13b7096a In base 4, what is 130 + -11223313? -11223123 In base 8, what is -612 - -2755? 2143 In base 14, what is 2396a - 3b6b? 1dbdd In base 10, what is 74327 - 405? 73922 In base 8, what is -125 + 3503334? 3503207 In base 12, what is 5 + 23267? 23270 In base 11, what is -15253 + -1986? -17129 In base 11, what is -58 + 159404a? 1593aa2 In base 16, what is 5f - -1e2ff? 1e35e In base 8, what is 25006564 + -32? 25006532 In base 8, what is -76122 + 6? -76114 In base 4, what is 12 - -103133001321? 103133001333 In base 15, what is 2a94c + 217? 2ab64 In base 13, what is -1c7948 + -158? -1c7aa3 In base 10, what is -112077 + 240? -111837 In base 9, what is -20551866 + -73? -20552050 In base 9, what is 100 + 108522? 108622 In base 9, what is 6 - -301746750? 301746756 In base 4, what is 131222212200 + 1230? 131222220030 In base 16, what is 6c2 + 566e? 5d30 In base 4, what is 3322112010 - -3132? 3322121202 In base 7, what is -1051002 + 23? -1050646 In base 13, what is 6a343 - -238? 6a57b In base 5, what is -1211220342 - 2? -1211220344 In base 7, what is -10 - -3542611? 3542601 In base 12, what is 262b7b1 - 23? 262b78a In base 16, what is -19 - 168dd? -168f6 In base 14, what is -3aca28 - -1? -3aca27 In base 6, what is 5350414 - -20? 5350434 In base 6, what is 25415 + -144114? -114255 In base 14, what is dd5b - 22c4? ba77 In base 12, what is -4ab632 + -1? -4ab633 In base 15, what is -5730 - -b0? -5670 In base 10, what is -4 + 13436734? 13436730 In base 6, what is -33441 + 5132005? 5054124 In base 9, what is 410 - -260817?
{ "pile_set_name": "DM Mathematics" }
*4 + 5*w**4 + w - 8 - 4 - 3*w wrt w? -8*w**3 - 2 Let f(w) = 3*w**2 - 4. Let i(x) = -1 - 3*x**2 + x**2 + 4. Let m(u) = 5*f(u) + 6*i(u). Find the first derivative of m(v) wrt v. 6*v Let z(x) be the second derivative of -5*x**3/2 + 15*x**2/2 + 2*x. What is the first derivative of z(b) wrt b? -15 Let l = 0 - -2. What is the second derivative of -8*j + 5 - 3*j**l - 5 - j**2 wrt j? -8 Find the second derivative of 0*u**3 + 5*u + 0*u**3 + u**5 - 4*u**5 wrt u. -60*u**3 What is the second derivative of 6*l**3 - 3*l**3 + 3*l**3 - 3*l wrt l? 36*l What is the second derivative of -u**3 + 2*u - 3*u**3 + 5*u**3 + 2*u**3 wrt u? 18*u Let n be ((-1)/(-2 + 3))/(-1). Differentiate 0 + k + n + 2*k wrt k. 3 Suppose 110 = 5*p - 20. What is the third derivative of p*c**3 - 2*c**4 - 26*c**3 - 2*c**2 + 8*c**2 wrt c? -48*c Let k(x) = -3*x - 2. Let u be k(-3). Suppose -4*t + u = -5*h + 27, -t - 2*h + 8 = 0. What is the derivative of 2 + t*a**4 + 3*a**4 - a**4 wrt a? 8*a**3 Suppose -2*k + 2 = -2. What is the second derivative of 2*b**2 - b + 3*b**3 - 2*b**k + 0*b**3 wrt b? 18*b Let i(m) = -10*m**2 - m + 4. Let t(o) = 9*o**2 + 2*o - 3. Let r(p) = -3*i(p) - 4*t(p). What is the second derivative of r(c) wrt c? -12 What is the second derivative of -3*a**2 - 3*a**2 + 5*a**2 + 9*a**2 + 9*a wrt a? 16 Let g(z) = -z. Let h be g(-2). What is the first derivative of 4 + h*m + 5*m - 5*m wrt m? 2 Let m(o) be the first derivative of -8*o**7/7 + 4*o**3/3 - 4. Find the third derivative of m(q) wrt q. -960*q**3 Let r(s) be the first derivative of s**10/5040 + s**6/72 + 4*s**3/3 + 1. Let x(z) be the third derivative of r(z). Find the third derivative of x(u) wrt u. 120*u**3 Let r(y) = -3*y - 11. Let s be r(-5). Find the second derivative of 5*u + 3*u**4 + 6*u**s - 3*u**4 wrt u. 72*u**2 Let z(x) = x. Let f(y) = -2*y + 5. Let n be 1/(3 + (-5 - -3)). Let j(h) = n*f(h) + 4*z(h). Differentiate j(w) wrt w. 2 Let w(f) be the second derivative of f**8/336 + f**5/30 - 2*f**3/3 + 3*f. Let j(v) be the second derivative of w(v). Find the second derivative of j(s) wrt s. 60*s**2 Suppose t + 0*t = 2. Suppose -4*v + 34 = -v + 5*s, 0 = -t*v + 3*s - 9. Find the second derivative of -1 + v*f**3 + 1 + f - 2*f wrt f. 18*f What is the derivative of 1 + 0*q**3 + 4 - 3*q**3 - 4*q**3 wrt q? -21*q**2 Let b(j) = -80*j**3 + 10*j**2 - 10*j - 48. Let k(x) = -27*x**3 + 3*x**2 - 3*x - 16. Let d(y) = -3*b(y) + 10*k(y). Differentiate d(r) with respect to r. -90*r**2 Let y be (-12)/(-20) - 17/(-5). Let d(p) be the first derivative of -1/2*p**y + 1 + 1/3*p**3 + 0*p + 0*p**2. What is the third derivative of d(a) wrt a? -12 Let h(v) be the third derivative of v**5/12 + v**3/6 + 6*v**2. Differentiate h(n) wrt n. 10*n Let v(o) be the first derivative of 16*o**7/7 + 7*o**3/3 + 8. Find the third derivative of v(m) wrt m. 1920*m**3 Let q be 60/(-504) - (-2)/7. Let a(h) be the second derivative of 0*h**2 - 1/4*h**4 - q*h**3 + 0 + 2*h. What is the second derivative of a(b) wrt b? -6 Let a be (-6)/(3 + 27/(-6)). Suppose 2*l - 5 + 3 = -2*p, 0 = -4*p + a*l + 12. Find the second derivative of -3*v - 3*v + v**p + 5*v wrt v. 2 Let w(y) = y**2 - y + 1. Let p(t) = 2*t**4 - 4*t**2 + t - 4. Let g = -19 + 20. Let v(k) = g*p(k) + 4*w(k). Find the second derivative of v(m) wrt m. 24*m**2 Let h(b) = -2*b + 1. Let s(w) = 5*w - 2. Let q(k) = -17*h(k) - 6*s(k). What is the first derivative of q(j) wrt j? 4 Let l = 108 + -104. Let d(n) be the third derivative of 0*n + 0*n**l + 0 + 1/20*n**5 + 2*n**2 + 2/3*n**3. What is the derivative of d(c) wrt c? 6*c Let c(r) = r**2 + 3*r + 4. Let x be c(-4). Find the third derivative of x*k**4 + 104 + k**2 - 104 wrt k. 192*k What is the third derivative of 49*k**2 - 48*k**2 - 13*k**3 - 9*k**3 wrt k? -132 Let r(v) = 13*v**3 + 4*v**2 + 4*v - 7. Let p(l) = 14*l**3 + 5*l**2 + 5*l - 6. Let t(u) = 4*p(u) - 5*r(u). Differentiate t(j) wrt j. -27*j**2 What is the second derivative of 10 - 10 - 2*r - r**5 wrt r? -20*r**3 Let r(f) = 2*f - 4. Let n be r(3). Suppose -t = -n - 3. What is the derivative of 2*c**3 - 1 - t + 4 wrt c? 6*c**2 Let i(m) = 4*m - 1. Let w be i(1). What is the second derivative of 0*l - 3*l**3 + 2*l - l**3 - w*l wrt l? -24*l Let h(m) = 8*m**2 + 13. Let y(u) = u**2 - 1. Let b(a) = -h(a) - 2*y(a). What is the first derivative of b(q) wrt q? -20*q Let w(r) be the first derivative of r**6/3 + 3*r**2/2 + 11. Find the second derivative of w(k) wrt k. 40*k**3 Let c(p) = -10*p**4 - 11*p**3 + 47*p. Let h(n) = 3*n**4 + 4*n**3 - 16*n. Let d(i) = -4*c(i) - 11*h(i). What is the second derivative of d(x) wrt x? 84*x**2 Let s(u) = -u**3 + 8*u**2 - 7*u + 10. Let t be s(7). What is the derivative of 3*d - d + d - 2 + t wrt d? 3 Let o(c) = 3*c**2 + 4*c**2 - 5*c**2. Let j be o(-1). Find the third derivative of 2*w**4 + 3*w**2 + j*w**2 - 3*w**2 wrt w. 48*w What is the third derivative of k**5 + 4*k**2 + 4*k**5 + 0*k**2 wrt k? 300*k**2 Suppose -5*t + 1 = 5*n - 2*n, t = -4*n - 10. Let w be 4 - 3 - 1 - -4. Find the third derivative of -w*i**2 + 5*i**2 - t*i**4 - 2*i**2 wrt i. -48*i Suppose -1 = 2*n - 5*d, -1 = -2*d + d. What is the second derivative of g + 2*g - n*g**4 + 5*g**4 wrt g? 36*g**2 Let a = 7 - 4. Let x(v) = -v**2 - v. Let f(p) = p**3 - 3*p**2 - 4*p. Let n(s) = a*x(s) - f(s). What is the second derivative of n(o) wrt o? -6*o Let v = 51 - 30. Suppose -2*p = p - 3*f, 3*p - v = -4*f. Differentiate 0*c**2 - p - 15*c - c**2 + 15*c with respect to c. -2*c Let c(s) = -3*s**5 - 8*s. Let n(k) = -k**5 - 4*k. Let h(j) = 3*c(j) - 7*n(j). What is the second derivative of h(y) wrt y? -40*y**3 Let u(q) = -10*q**5 + 4*q**3 - 7*q**2 + 4*q + 4. Let l(i) = -i**3 - i - 1. Let g(a) = 4*l(a) + u(a). Find the third derivative of g(k) wrt k. -600*k**2 Let n(r) be the first derivative of -3/2*r**2 + 5*r - 4. Differentiate n(s) with respect to s. -3 Let o(s) = s**5 + s**4 + s**3 + 1. Let u(y) = 6*y**5 + 5*y**4 - 7*y**3 - 17*y + 3. Let a(i) = -5*o(i) + u(i). Find the second derivative of a(d) wrt d. 20*d**3 - 72*d Suppose -3*v - v = 5*u + 6, 3*v = -4*u - 5. Let y(t) = t + 1. Let f(x) = -4*x + 1. Let w(c) = u*y(c) + f(c). Differentiate w(s) wrt s. -6 Find the second derivative of -36*p + 12*p**3 + 69*p - 38*p wrt p. 72*p Let r be (9/(-6))/((-6)/(-32)). Let x = 13 + r. Find the second derivative of -x*j**2 - 3*j**2 + j + 2*j**2 + 5*j**2 wrt j. -2 Let s(o) = -48*o**2 + o - 29. Let y(b) = -b**2 + b - 1. Let c(z) = -s(z) + 3*y(z). What is the second derivative of c(h) wrt h? 90 Let a(t) be the first derivative of t**6/30 + t**4/24 - t**2 - 1. Let f(y) be the second derivative of a(y). What is the second derivative of f(i) wrt i? 24*i Let q(p) be the second derivative of 4*p**6/15 - p**3/3 + 3*p. What is the second derivative of q(h) wrt h? 96*h**2 What is the third derivative of -155*x**3 - 30*x**6 + 29*x**2 + 76*x**3 + 79*x**3 wrt x? -3600*x**3 Let u(k) = -k - 1. Let n be u(-5). Suppose n = c + 3*c. What is the derivative of 2 - 4 - p**3 - c wrt p? -3*p**2 Let m(i) be the second derivative of -i**6/72 + i**4/8 - 5*i**3/3 - 6*i. Let u(n) be the second derivative of m(n). Find the first derivative of u(g) wrt g. -10*g Let c be 1/((-2 - 1) + 2). Let i(m) = -7*m**2 + 1. Let y(j) = j**2 - 1. Let o(f) = c*i(f) - 3*y(f). What is the first derivative of o(d) wrt d? 8*d Let l(q) be the first derivative of -8*q**5/5 + 3*q + 2. Differentiate l(f) with respect to f. -32*f**3 Let v(z) be the second derivative of -z**7/210 - z**5/12 - 3*z**2 + 2*z. Let g(d) be the first derivative of v(d). What is the third derivative of g(h) wrt h? -24*h Let w(c) be the second derivative of c**6/15 + 3*c**2/2 - 14*c. Differentiate w(y) with respect to y. 8*y**3 Let f(u) be the first derivative of -7*u**6/6 + u**4/4 - 40*u**3/3 - 2*u + 44. What is the third derivative of f(d) wrt d? -420*d**2 + 6 Let l(r) = 11*r**3 + 6*r**2 + 4*r - 6. Let h(p) = -p**3 + p**2 + p - 1. Let w(k) = -6*h(k) + l(k). What is the second derivative of w(b) wrt b? 102*b Let p(i) = -i - 8. Let c be p(-10). Find the third derivative of -6*r**2 + 9*r**c + 10*r**6 + 7*r**2 wrt r. 1200*r**3 Find the third derivative of -39*o**2 + 20*o**6 - 22*o**2 - o + 27*o**2 wrt o. 2400*o**3 Suppose 4*z - 15 = z. Differentiate -1 + z - 8 + 4*b**2 with respect to b. 8*b Let m = 1 - -3. Find the second derivative of -2
{ "pile_set_name": "DM Mathematics" }
49 In base 15, what is -4d - 149c? -14ea In base 7, what is 52324 + 5? 52332 In base 9, what is -143408 + 6? -143402 In base 6, what is -12 - 1434445? -1434501 In base 4, what is -1332 + -2202? -10200 In base 16, what is 19c + 2a? 1c6 In base 7, what is 1 - -546400? 546401 In base 6, what is 52 + -2031? -1535 In base 3, what is -10100102202 - 2? -10100102211 In base 13, what is -36944 - 3? -36947 In base 7, what is 30536 + -35? 30501 In base 16, what is 977 + 3? 97a In base 7, what is 31 + 2615? 2646 In base 2, what is 1011110000001010 + -10? 1011110000001000 In base 11, what is -5a6 - -25a? -347 In base 7, what is 2161202 + -5? 2161164 In base 12, what is b17b - -1? b180 In base 16, what is -2 + -78db? -78dd In base 10, what is 146582 + 10? 146592 In base 13, what is -4 + -82bb? -82c2 In base 16, what is 5 + 12fab? 12fb0 In base 12, what is 236 + -49? 1a9 In base 6, what is -23 - 10300? -10323 In base 11, what is -101a - -1? -1019 In base 10, what is -658 - 223? -881 In base 6, what is 1045034 + 1? 1045035 In base 6, what is -3 - -5224003? 5224000 In base 14, what is d0a2 + 12? d0b4 In base 12, what is -3112 - -1a? -30b4 In base 7, what is -10 - -2010324? 2010314 In base 6, what is -42 + -1014040? -1014122 In base 13, what is 16 - 521? -508 In base 4, what is -20212 - -311210? 230332 In base 12, what is -141a9 - 8? -141b5 In base 13, what is -1588 + -90? -1648 In base 7, what is -30064 + -110? -30204 In base 16, what is 11 - 621? -610 In base 6, what is 4 - 2203413? -2203405 In base 7, what is -16 + 6415? 6366 In base 12, what is -3b16 + 0? -3b16 In base 5, what is -214042042 + 10? -214042032 In base 7, what is -3661 + 35? -3623 In base 3, what is 11 + 1022100120? 1022100201 In base 9, what is 10 - 16257? -16247 In base 5, what is -11330201 - -133? -11330013 In base 9, what is -1400032 + -3? -1400035 In base 15, what is -3 + -3186e? -31872 In base 13, what is -2 + 51208? 51206 In base 2, what is 10111 + 111110101? 1000001100 In base 2, what is -101 - -1111011111? 1111011010 In base 2, what is 10010 + -10101100111011? -10101100101001 In base 15, what is -3 + -1212? -1215 In base 8, what is -10350 + -14? -10364 In base 2, what is 10011000 - 10111111010011? -10111100111011 In base 16, what is e4 - -294c? 2a30 In base 9, what is -38 - -120233? 120184 In base 7, what is 1 + -131333? -131332 In base 6, what is 2132 - 33? 2055 In base 16, what is -1 + 756c? 756b In base 4, what is 3211 + -1312? 1233 In base 8, what is 6 - 44247? -44241 In base 8, what is 7031276 - 0? 7031276 In base 6, what is 30 + -102552? -102522 In base 6, what is 2434242 + 11? 2434253 In base 11, what is 5 + 88764? 88769 In base 9, what is -33 - -6388? 6355 In base 10, what is -91819 - -7? -91812 In base 7, what is 66353 + -3? 66350 In base 13, what is -97 + 5c? -38 In base 3, what is 121111 - -102102? 1000220 In base 11, what is -146987 - 2? -146989 In base 11, what is -20192 + 5? -20188 In base 9, what is 8 - -130714? 130723 In base 11, what is 832 + -366? 477 In base 4, what is -11 + 2313022? 2313011 In base 9, what is 185 + -2674? -2478 In base 16, what is 4 + 5026? 502a In base 9, what is 253 + -228? 24 In base 13, what is -185c + 9? -1853 In base 7, what is 314 - -5242? 5556 In base 15, what is -2c9a + c? -2c8d In base 12, what is 2 + -b906? -b904 In base 8, what is -216265 + 3? -216262 In base 4, what is 223320 + 13012? 302332 In base 14, what is -1c + -17d4? -1812 In base 7, what is 3 + -1501131? -1501125 In base 9, what is 8348 + 1? 8350 In base 12, what is -281 - -58ab? 562a In base 8, what is -103 + -234? -337 In base 9, what is 133 - 2800? -2656 In base 5, what is -2400320 + -3? -2400323 In base 9, what is -4307 + 104? -4203 In base 2, what is -10 - -111100011001? 111100010111 In base 15, what is 111 + -1d? e3 In base 14, what is -1195 - 24? -11b9 In base 14, what is -c7 + 33bb? 32d4 In base 6, what is 52 + -110412? -110320 In base 4, what is -221020 - 1211? -222231 In base 2, what is 100 + 1100001001? 1100001101 In base 6, what is 1200 - 1051? 105 In base 3, what is 121022 + 1122? 122221 In base 15, what is -5 - 4c18? -4c1d In base 10, what is 3608731 - -2? 3608733 In base 13, what is -21c5 + -a6? -229b In base 15, what is d - -1337? 1345 In base 8, what is -4255 - -26? -4227 In base 10, what is -4 - 98502? -98506 In base 3, what is -2002021121 + -12? -2002021210 In base 10, what is 104299 - -19? 104318 In base 8, what is 11 + 1147004? 1147015 In base 15, what is -542 + -9? -54b In base 9, what is 334 + -5018? -4574 In base 5, what is -201 + -341003? -341204 In base 2, what is -101111110010101 + 1101? -101111110001000 In base 10, what is 42933 + 3? 42936 In base 9, what is 4582 - 512? 4070 In base 11, what is 4 + -135746? -135742 In base 7, what is -50 - -23620? 23540 In base 12, what is -5 - 6764b? -67654 In base 11, what is 10694a + 8? 106957 In base 14, what is 10577 - a? 1056b In base 9, what is -1 - 30805? -30806 In base 13, what is 2443 + 17? 245a In base 8, what is -140 - 711? -1051 In base 15, what is -13679 - -19? -13660 In base 5, what is 3014041 - 12? 3014024 In base 7, what is 20 - 4004? -3654 In base 7, what is -145 + -1624? -2102 In base 2, what is -101 - -111111100000? 111111011011 In base 12, what is 3529 + 6? 3533 In base 4, what is -110 + 100332? 100222 In base 8, what is -1221 + 1520? 277 In base 13, what is -73 - 1200c? -12082 In base 12, what is -1137 - -b7? -1040 In base 7, what is -60115 + -210? -60325 In base 12, what is -62 + -42a? -490 In base 6, what is -105402210 + 1? -105402205 In base 8, what is 26 + -504? -456 In base 2, what is 10010010100011001110011 + -10? 10010010100011001110001 In base 14, what is 0 + -1a3d0? -1a3d0 In base 11, what is 4 + 254? 258 In base 6, what is 14233554 - -21? 14234015 In base 10, what is -2 + 181281? 181279 In base 8, what is 4122 + 20? 4142 In base 16, what is -12e8 - -3? -12e5 In base 13, what is 4 + -a111? -a10a In base 7, what is 4126 - 3252? 544 In base 7, what is -640 + 14? -623 In base 6, what is -3 - 204241? -204244 In base 13, what is -46 - -74b3? 746a In base 12, what is -b9a - 26? -1004 In base 7, what is -540 + 6? -531 In base 13, what is 20861 + 3? 20864 In base 13, what is -4 + 3aa? 3a6 In base 12, what is 581 - -16a? 72b In base 16, what is -6b + -70? -db In base 16, what is -b - -252? 247 In base 14, what is 4 - 1051b? -10517 In base 3, what is -2010212 + 100000? -1210212 In base 9, what is -11176 + 60? -11116 In base 7, what is 102 + 2260? 2362 In base 6, what is 505020 + -134? 504442 In base 8, what is -13 - 26602? -26615 In base 3, what is 2 - -10020211021? 10020211100 In base 14, what is 8 - -d4376? d4380 In base 5, what is -2140313 - 4? -2140322 In base 15, what is -a9 + 518? 45e In base 9, what is -485430 - -5? -485424 In base 6, what is 4 - -441? 445 In base 11, what is -124287 + 1? -124286 In base 3, what is 12222 - 10221200? -10201201 In base 2, what is 1101000110101100 + 11? 1101000110101111 In base 6, what is -212 - -3255? 3043 In base 15, what is cb + -2b9? -1dd In base 16, what is -4 + f03da? f03d6 In base 12, what is -1007541 - 5? -1007546 In base 16, what is 4ca - -b4? 57e In base 14, what is 2 + 953dc? 95400 In base 2, what is 100111111111001 - -1? 100111111111010 In base 8, what is 261400 + -3? 261375 In base 13, what is -962 - 6? -968 In base 11, what is -144a93 - 5? -144a98 In base 6, what is -324325 - 10? -324335 In base 11, what is 9 - 1309? -1300 In base 12, what is 182 - -65? 227 In base 3, what is 2011120 - 11011? 2000102 In base 2, what is -1000001010101 + -1011101? -1000010110010 In base 7, what is 5 - -2115145? 2115153 In base 6, what is 22 + -115012? -114550 In base 11, what is -95889 - -3? -95886 In base 14, what is -4 + 31066? 31062 In base 8, what is -3023 + -12? -3035 In base 3, what is -1 - 1211122202? -1211122210 In base 6, what is 1212 + -211? 1001 In base 14, what is 292 - 2d? 263 In base 16, what is -a8b - -3be? -6cd In base 8, what is 34560 + -17? 34541 In base 14, what is 4 - -1cc2b? 1cc31 In base 8, what is 3 - -3636007? 3636012 In base 3, what is 11 + -10202002? -10201221 In base 5, what is 2 + -3331430? -3331423 In base 15, what is 9e + -32? 6c In base 14, what is 2 - -7dd3? 7dd5 In base 16, what is -a + -a83? -a8d In base 15, what is 55 - c10?
{ "pile_set_name": "DM Mathematics" }
rs of 1001. 7, 11, 13 List the prime factors of 30238. 2, 13, 1163 What are the prime factors of 64248? 2, 3, 2677 What are the prime factors of 36157? 11, 19, 173 What are the prime factors of 801? 3, 89 What are the prime factors of 52988? 2, 13, 1019 What are the prime factors of 144019? 59, 2441 List the prime factors of 37496. 2, 43, 109 What are the prime factors of 51231? 3, 17077 List the prime factors of 24174. 2, 3, 17, 79 List the prime factors of 61585. 5, 109, 113 What are the prime factors of 62620? 2, 5, 31, 101 List the prime factors of 2220. 2, 3, 5, 37 What are the prime factors of 1248? 2, 3, 13 What are the prime factors of 407? 11, 37 List the prime factors of 46091. 46091 List the prime factors of 4400. 2, 5, 11 What are the prime factors of 2588? 2, 647 List the prime factors of 43287. 3, 47, 307 What are the prime factors of 5312? 2, 83 List the prime factors of 911. 911 List the prime factors of 5692. 2, 1423 What are the prime factors of 2565? 3, 5, 19 List the prime factors of 124712. 2, 7, 17, 131 List the prime factors of 5315. 5, 1063 What are the prime factors of 161083? 13, 12391 What are the prime factors of 1628? 2, 11, 37 What are the prime factors of 4943? 4943 List the prime factors of 755. 5, 151 List the prime factors of 3685. 5, 11, 67 What are the prime factors of 23068? 2, 73, 79 What are the prime factors of 33658? 2, 16829 What are the prime factors of 1350? 2, 3, 5 What are the prime factors of 13417? 13417 List the prime factors of 17228. 2, 59, 73 What are the prime factors of 10665? 3, 5, 79 What are the prime factors of 253? 11, 23 List the prime factors of 6089. 6089 What are the prime factors of 625? 5 List the prime factors of 92. 2, 23 List the prime factors of 10579. 71, 149 List the prime factors of 97959. 3, 32653 List the prime factors of 37701. 3, 59, 71 List the prime factors of 7257. 3, 41, 59 What are the prime factors of 5928? 2, 3, 13, 19 List the prime factors of 3914. 2, 19, 103 What are the prime factors of 1249? 1249 List the prime factors of 10237. 29, 353 What are the prime factors of 56484? 2, 3, 523 List the prime factors of 14149. 14149 What are the prime factors of 5188? 2, 1297 List the prime factors of 2799. 3, 311 What are the prime factors of 3910? 2, 5, 17, 23 What are the prime factors of 145504? 2, 4547 What are the prime factors of 1523? 1523 What are the prime factors of 284? 2, 71 List the prime factors of 934. 2, 467 What are the prime factors of 3788? 2, 947 List the prime factors of 6033. 3, 2011 What are the prime factors of 15437? 43, 359 List the prime factors of 15922. 2, 19, 419 List the prime factors of 20391. 3, 7, 971 List the prime factors of 28603. 28603 List the prime factors of 879. 3, 293 List the prime factors of 62558. 2, 31, 1009 List the prime factors of 396. 2, 3, 11 List the prime factors of 207. 3, 23 What are the prime factors of 6342? 2, 3, 7, 151 What are the prime factors of 45575? 5, 1823 List the prime factors of 467. 467 List the prime factors of 2922. 2, 3, 487 What are the prime factors of 13741? 7, 13, 151 List the prime factors of 14. 2, 7 What are the prime factors of 1793? 11, 163 What are the prime factors of 53490? 2, 3, 5, 1783 What are the prime factors of 99119? 99119 List the prime factors of 21714. 2, 3, 7, 11, 47 List the prime factors of 10054. 2, 11, 457 List the prime factors of 229. 229 List the prime factors of 1932. 2, 3, 7, 23 List the prime factors of 76003. 76003 List the prime factors of 92. 2, 23 What are the prime factors of 1536? 2, 3 What are the prime factors of 669? 3, 223 List the prime factors of 60635. 5, 67, 181 List the prime factors of 1387. 19, 73 List the prime factors of 29128. 2, 11, 331 List the prime factors of 66790. 2, 5, 6679 What are the prime factors of 183? 3, 61 What are the prime factors of 10627? 10627 What are the prime factors of 1183? 7, 13 List the prime factors of 20182. 2, 10091 List the prime factors of 265. 5, 53 List the prime factors of 7603. 7603 What are the prime factors of 4584? 2, 3, 191 What are the prime factors of 12750? 2, 3, 5, 17 List the prime factors of 1637. 1637 What are the prime factors of 267? 3, 89 What are the prime factors of 69272? 2, 7, 1237 What are the prime factors of 14892? 2, 3, 17, 73 What are the prime factors of 106496? 2, 13 List the prime factors of 191. 191 List the prime factors of 73407. 3, 24469 List the prime factors of 16909. 37, 457 List the prime factors of 121757. 313, 389 List the prime factors of 229. 229 List the prime factors of 1121. 19, 59 What are the prime factors of 7885? 5, 19, 83 List the prime factors of 59295. 3, 5, 59, 67 What are the prime factors of 103602? 2, 3, 31, 557 What are the prime factors of 2038? 2, 1019 What are the prime factors of 24390? 2, 3, 5, 271 List the prime factors of 382. 2, 191 List the prime factors of 47225. 5, 1889 What are the prime factors of 9344? 2, 73 List the prime factors of 29845. 5, 47, 127 What are the prime factors of 3821? 3821 What are the prime factors of 2058? 2, 3, 7 List the prime factors of 2312. 2, 17 What are the prime factors of 64129? 13, 4933 What are the prime factors of 237? 3, 79 What are the prime factors of 8667? 3, 107 What are the prime factors of 27486? 2, 3, 509 List the prime factors of 632. 2, 79 List the prime factors of 471. 3, 157 List the prime factors of 45556. 2, 7, 1627 List the prime factors of 2270. 2, 5, 227 What are the prime factors of 11085? 3, 5, 739 List the prime factors of 1451. 1451 List the prime factors of 1163. 1163 What are the prime factors of 5634? 2, 3, 313 What are the prime factors of 25022? 2, 12511 What are the prime factors of 20924? 2, 5231 What are the prime factors of 921? 3, 307 What are the prime factors of 1153? 1153 List the prime factors of 13068. 2, 3, 11 What are the prime factors of 1370? 2, 5, 137 List the prime factors of 37101. 3, 83, 149 What are the prime factors of 9183? 3, 3061 What are the prime factors of 25326? 2, 3, 7, 67 What are the prime factors of 5676? 2, 3, 11, 43 List the prime factors of 17070. 2, 3, 5, 569 What are the prime factors of 669? 3, 223 What are the prime factors of 38608? 2, 19, 127 What are the prime factors of 4126? 2, 2063 What are the prime factors of 9459? 3, 1051 What are the prime factors of 306? 2, 3, 17 List the prime factors of 76780. 2, 5, 11, 349 What are the prime factors of 105512? 2, 11, 109 What are the prime factors of 1395? 3, 5, 31 List the prime factors of 60. 2, 3, 5 List the prime factors of 123. 3, 41 List the prime factors of 864. 2, 3 List the prime factors of 942. 2, 3, 157 List the prime factors of 1872. 2, 3, 13 List the prime factors of 3150. 2, 3, 5, 7 What are the prime factors of 434? 2, 7, 31 What are the prime factors of 213? 3, 71 What are the prime factors of 1958? 2, 11, 89 What are the prime factors of 346? 2, 173 List the prime factors of 18255. 3, 5, 1217 List the prime factors of 4449. 3, 1483 What are the prime factors of 978? 2, 3, 163 List the prime factors of 148778. 2, 7, 10627 What are the prime factors of 7598? 2, 29, 131 List the prime factors of 3283. 7, 67 List the prime factors of 1310. 2, 5, 131 What are the prime factors of 19221? 3, 43, 149 List the prime factors of 2170. 2, 5, 7, 31 What are the prime factors of 1086? 2, 3, 181 What are the prime factors of 8792? 2, 7, 157 List the prime factors of 43360. 2, 5, 271 List the prime factors of 73871. 7, 61, 173 List the prime factors of 4817. 4817 What are the prime factors of 14335? 5, 47, 61 List the prime factors of 1045. 5, 11, 19 What are the prime factors of 5375? 5, 43 List the prime factors of 24931. 107, 233 What are the prime factors of 14619? 3, 11, 443 What are the prime factors of 9727? 71, 137 What are the prime factors of 14708? 2, 3677 What are the prime factors of 1183? 7, 13 List the prime factors of 141898. 2, 70949 List the prime factors of 1122. 2, 3, 11, 17 What are the prime factors of 30642? 2, 3, 5107 What are the prime factors of 36876? 2, 3, 7, 439 What are the prime factors of 1935? 3, 5, 43 What are the prime factors of 29889? 3, 41 What are the prime factors of 10611? 3, 131 What are the prime factors of 3934? 2, 7, 281 List the prime factors of 384
{ "pile_set_name": "DM Mathematics" }
Factor r(j). -2*(j - 1)**2 Factor 5*d**5 - 22*d**4 - 293*d**3 - 296*d**3 + 597*d**3. d**3*(d - 4)*(5*d - 2) Determine f, given that 204/5*f + 28/5*f**3 + 32*f**2 - 72/5 = 0. -3, 2/7 Let u = -71 + 73. Factor -9*k**u - 25*k**4 + 8*k**4 + 11*k**4 - 6*k + 9*k**4. 3*k*(k - 2)*(k + 1)**2 Let d(w) be the first derivative of -7 + 1/12*w**6 + 1/8*w**4 - 3/10*w**5 + 1/2*w**3 + 0*w - 1/2*w**2. Solve d(l) = 0 for l. -1, 0, 1, 2 Let a(k) be the first derivative of -2/3*k + 8 - 2/3*k**2 + 0*k**3 + 2/15*k**5 + 1/3*k**4. Factor a(t). 2*(t - 1)*(t + 1)**3/3 Factor -5/2*b**3 + 30*b + 27/2*b**2 - 14. -(b - 7)*(b + 2)*(5*b - 2)/2 Factor 296/3*u**3 - 4/3*u**5 + 0*u**2 - 140/3*u**4 + 0 + 0*u. -4*u**3*(u - 2)*(u + 37)/3 Let f(v) be the second derivative of 0*v**2 - 1/10*v**5 - 1/30*v**6 + 1/3*v**3 + 0 + 1/12*v**4 + 7*v. Let f(t) = 0. Calculate t. -2, -1, 0, 1 Let v = -65 - -67. Find r such that -r**2 + 3*r**v + 2*r**3 + 3*r**2 + 6*r + 3*r**2 = 0. -3, -1, 0 Let m(t) be the first derivative of 5 + 0*t**4 + 1/5*t**5 + 0*t**2 + 0*t - 1/3*t**3. Factor m(a). a**2*(a - 1)*(a + 1) Suppose 4*u + 15 + 13 = 4*g, -g - 13 = 4*u. What is b in -9*b**5 - 4*b**g - 5*b**4 + 8*b**4 - 2*b**3 + 12*b**4 = 0? 0, 2/3, 1 Let h(o) be the third derivative of 15/8*o**4 - 7/20*o**6 - 1/10*o**5 - 1/112*o**8 + 28*o**2 + 0*o + 0 + 9/70*o**7 - 7/2*o**3. Factor h(a). -3*(a - 7)*(a - 1)**3*(a + 1) Let f(z) = -z**2 + 558*z + 3958. Let n be f(-7). Solve 30/11*a**4 + 12/11*a**5 - 24/11*a - 6/11 + 12/11*a**n - 24/11*a**2 = 0. -1, -1/2, 1 Let t(v) be the third derivative of v**5/180 - 5*v**4/24 + 2*v**3 + 14*v**2 + 3. Factor t(l). (l - 12)*(l - 3)/3 Let k = -8665 + 60667/7. Factor -5/7*y**2 + k*y - 4/7. -(y - 2)*(5*y - 2)/7 Let s(n) be the first derivative of -n**3/7 - 9*n**2/14 - 6*n/7 + 227. Determine k so that s(k) = 0. -2, -1 Let q(u) = u**3 - 3*u**2 + 11*u - 36. Let r(b) = -b**2 + 1. Let w(y) = -q(y) - 4*r(y). Let p be w(6). Let -4/5 + 2*s + 2/5*s**3 - 8/5*s**p = 0. Calculate s. 1, 2 Solve 57*k - 5*k**2 - 35*k**2 - 32*k**3 + 3*k**5 + 33*k**4 + 16 - 9*k - 10*k**5 = 0 for k. -1, -2/7, 2 Let h(k) be the second derivative of 0*k**3 + 1/30*k**5 + 1/12*k**4 + k**2 - k + 0. Let p(b) be the first derivative of h(b). Factor p(x). 2*x*(x + 1) Suppose -y - 44 = -4. Let g = y - -111. Solve 10*r - r**4 + 7*r - g*r**4 - 68*r**3 - 20*r**5 - r = 0 for r. -2, -1, 0, 2/5 Let f be 150/(-35)*(3 - 10). Let z = f + -27. Factor 0 + 1/5*l**z + 2/5*l**2 + 1/5*l. l*(l + 1)**2/5 Let r = 29 + -27. Factor -5*b**4 + 12*b**3 + 3*b**5 - 6*b**4 + b**4 + b - 6*b**r. b*(b - 1)**3*(3*b - 1) Let x(l) be the third derivative of l**6/300 + 8*l**5/75 - 166*l**2. Let x(q) = 0. What is q? -16, 0 Let t(g) be the first derivative of 63*g**4 + 184*g**3/3 + 16*g**2 + 93. Factor t(l). 4*l*(7*l + 2)*(9*l + 4) Let s be (1 + 1)*(-3)/2. Let c be 1 - (-3 + (-1 - s)). Find j, given that -6*j + 3*j**2 + 0*j**c + 0*j = 0. 0, 2 Let 15376*z**2 + 64 - 15375*z**2 - 2*z - 14*z = 0. Calculate z. 8 Suppose f = -0*f + 37. Suppose -1 = 3*n - f. Suppose 12*u**2 - n*u + 34 + 4*u + 8*u**3 - 34 = 0. Calculate u. -2, 0, 1/2 Let m(f) be the third derivative of f**6/24 + 105*f**5/4 + 55125*f**4/8 + 1929375*f**3/2 + 44*f**2 - 1. Let m(s) = 0. What is s? -105 Suppose -2*w = -2*h + 6, 2*w = 5*h - 26 + 8. Let v(r) be the second derivative of -1/3*r**2 + 6*r + 1/18*r**h + 1/60*r**5 - 1/18*r**3 + 0. Factor v(i). (i - 1)*(i + 1)*(i + 2)/3 Determine o so that 48778/11 + 5220/11*o**2 + 53824/11*o + 16*o**3 + 2/11*o**4 = 0. -29, -1 Suppose m - 8 = -2*c, -3*m - 20 = -5*c - m. Factor 4*i**3 - 8*i**2 - 4*i + 0*i**3 - 2*i**c + 10*i**2. -2*i*(i - 2)*(i - 1)*(i + 1) Let k = 1401 + -1401. Factor 0*x + 0 - 5/3*x**3 + k*x**2. -5*x**3/3 Let i = 47531/4 + -11881. Suppose 3*d - 1 + i*d**2 = 0. Calculate d. -2, 2/7 Let w(d) be the second derivative of 13*d + 0 - 3/110*d**5 - 1/33*d**3 + 0*d**2 - 1/22*d**4 - 1/165*d**6. Factor w(z). -2*z*(z + 1)**3/11 Let a = -19169/90 - -213. Let k(h) be the second derivative of -a*h**4 - 4/15*h**2 + 4/45*h**3 + 0 + 3*h. Determine o, given that k(o) = 0. 2 Let j = 236 + -210. Let a be (j/(-117))/((-3)/27). Find i such that 2/5*i - 1/5*i**a + 0 = 0. 0, 2 Suppose -7*a - 6573 = -6573. Find t, given that 2/11*t**3 - 4/11*t**2 + 0 + a*t = 0. 0, 2 Let s be (5/10)/(2/112). Find g, given that 36*g**4 - 44*g**3 + 2*g**3 - 6*g**3 + s*g**5 - 16*g**2 = 0. -2, -2/7, 0, 1 Suppose 422 + 793 - 12*b**3 - 94*b - 48*b**2 + 279*b + 112*b = 0. What is b? -9/2, 5 Let l(f) be the third derivative of -f**8/588 - 4*f**7/735 + 3*f**6/35 + 8*f**5/105 - 41*f**4/42 - 20*f**3/7 - 2*f**2 - 2. Let l(z) = 0. Calculate z. -5, -1, 2, 3 Let r(p) = -8*p**3 + 149*p**2 - 2315*p + 5630. Let x(q) = 9*q**3 - 147*q**2 + 2313*q - 5631. Let f(c) = 6*r(c) + 5*x(c). Determine s so that f(s) = 0. 3, 25 Find k such that -6*k + 16/3 + 2/3*k**2 = 0. 1, 8 Solve 980/11*z**4 + 672/11*z**3 + 0 + 343/11*z**5 + 16/11*z + 16*z**2 = 0. -2, -2/7, 0 Let u(m) be the first derivative of m**7/63 - m**6/45 - m**5/30 + m**4/18 + 3*m + 3. Let r(z) be the first derivative of u(z). Factor r(q). 2*q**2*(q - 1)**2*(q + 1)/3 Suppose 2*q + 78 = 3*q. Let h = q + -74. Factor -46/3*i - 464/3*i**3 + 208/3*i**2 - 224/3*i**5 + 4/3 + 512/3*i**h. -2*(2*i - 1)**4*(7*i - 2)/3 Let v(g) = g**2 + 9*g + 20. Let u be v(-7). Let r be -4 - 24*u/(-27). Factor -4/3 + r*y - 1/3*y**2. -(y - 2)**2/3 Let p(j) = 4*j**2 + 19*j - 15. Let b be p(-7). Let f be -2 + 1 - b/(-40). Factor 4/5*y + f*y**2 + 4/5. (y + 2)**2/5 Let x = -3951/8 + 493. Let f = x + 81/56. Factor 4/7 + f*r**2 + 8/7*r. 4*(r + 1)**2/7 Suppose -m + 58 = 2*j + m, 5*j - 4*m - 190 = 0. Solve -j*o**4 + 16*o**3 - 32 - 16*o**2 - 28*o - 36*o + 40*o**4 = 0. -2, -2/3, 2 Let c(s) be the third derivative of 0*s + 2*s**3 - 8/45*s**5 - 1/15*s**6 - 2/315*s**7 + 0 - 9*s**2 + 1/3*s**4. Determine b, given that c(b) = 0. -3, -1, 1 Let z(j) = 16*j**3 + 884*j**2 + 9860*j + 1932. Let t(o) = -o**3 + o - 1. Let h(x) = 4*t(x) - z(x). Factor h(q). -4*(q + 22)**2*(5*q + 1) Let h(l) = 65*l**3 - 4945*l**2 + 201745*l - 2756790. Let y(s) = 8*s**3 - 618*s**2 + 25218*s - 344599. Let q(k) = 3*h(k) - 25*y(k). Let q(i) = 0. What is i? 41 Factor 0*j + 2/11*j**5 - 6/11*j**4 - 2/11*j**2 + 0 + 6/11*j**3. 2*j**2*(j - 1)**3/11 Let t(v) be the second derivative of -v**5/120 - v**4/18 + 5*v**3/36 - 3*v. What is l in t(l) = 0? -5, 0, 1 Let x(d) be the first derivative of -d**4/3 + 10*d**3/3 - 8*d**2 + 5*d - 2. Let r(m) be the first derivative of x(m). Factor r(h). -4*(h - 4)*(h - 1) Let q(m) be the first derivative of -5*m**4/4 + 15*m**3 - 115*m**2/2 + 75*m + 55. Determine g so that q(g) = 0. 1, 3, 5 Let o = 6948 + -6946. Let 2/17*x**o + 6/17 + 8/17*x = 0. What is x? -3, -1 Let m be 9 - (33/231)/(5/245). Factor 0*v - 2/3*v**m + 0 + 1/3*v**3. v**2*(v - 2)/3 Suppose -4*x - 9 = 15. Let w(k) = -k**2 - 7*k - 4. Let t be w(x). Determine a, given that -6*a + 6*a**2 + 4*a - t*a = 0. 0, 2/3 Let x(q) be the second derivative of -q**5 + 61*q**4/24 - 23*q**3/12 + q**2/2 - q - 363. Solve x(d) = 0. 1/8, 2/5, 1 Let j(o) = 3*o**3 + o**2 + 2*o + 1. Let b(d) = -2*d**3 - 80*d**2 + 34*d - 2. Let g(c) = b(c) + 2*j(c). Suppose g(n) = 0. Calculate n. 0, 1/2, 19 Let d be -25*6/(-45) + 6/(-3). Factor 0 + 0*p + 0*p**2 + 4/3*p**3 + 8/3*p**4 + d*p**5. 4*p**3*(p + 1)**2/3 Let t(z) = -3*z + 1. Let u(n) = 4*n**2 - 136*n + 1592. Let b(c) = 8*t(c) + u(c). Factor b(a). 4*(a - 20)**2 Suppose -66 + 2 - 8*r**4 - 44*r**3 + 71*r + 9*r + 32*r**2 + 4*r**5 = 0. Calculate r. -2, 1, 4 Let i be (-6)/(-9) - (9/2 + -4). Let k(b) be the second derivative of 0 - 2/3*b**3 + 0*b**2 - i*b**4 + 2*b + 1/10*b**5. Factor k(f). 2*f*(f - 2)*(f + 1) Let s(m) be the third derivative of -3*m**5/10 - 29*m**4/8 + 5*m**3/2 + 448*m**2. Suppose s(u) = 0. What is u? -5, 1/6 Let a(u) = u**2 + 11*u + 1. Let w be a(-12). Suppose -7 = 3*t - w. Factor 13*n**4 - 4*n**3 - 7*n**4 + 2*n**t - 4*n**4. 2*n**2*(n - 1)**2 Suppose 0 = 25*a - 113 - 37. Let o(u) be the second derivative of -2/15*u**3 + 1/10*u**4 - 1/75*u**a + 0*u**2 + 0*u**5 + 0 - 2*u. Let o(n) = 0. Calculate n. -2, 0, 1 Let c be 0 + 0 + (-6 - 1). Let s(x) = -9*x**2 + x + 3. Let h(m) be the first derivative of 2*m**3 - m**2/2 - 2*m - 34. Let p(d) = c*h(d) - 5*s(d). Factor p(k). (k + 1)*(3*k - 1) Let y(b) be the first derivative of -b**4/3 - 2*b
{ "pile_set_name": "DM Mathematics" }
(n) + 3*q(n). Factor m(w). -(w - 6)*(w + 2) Let q be 19 + -7 + -4 + -7. Let b(u) be the first derivative of 0*u - q - 2/15*u**3 - 3/5*u**2. Factor b(d). -2*d*(d + 3)/5 Factor 1/3*g**2 + 0 - 13/3*g. g*(g - 13)/3 Let b(v) = v**3 - 6*v + 4. Let j(w) = -w + 2. Let c(s) = -b(s) + 3*j(s). Factor c(h). -(h - 2)*(h + 1)**2 Let n(l) be the first derivative of 1/12*l**3 + 0*l + 12 - 1/4*l**2. What is j in n(j) = 0? 0, 2 Suppose 3*f - 52 = 2*i, 5*f + 7*i - 5*i - 60 = 0. Let v be 2*3/15*(f - 9). Suppose 4/7 + 32/7*m + 36/7*m**4 + 93/7*m**3 + 85/7*m**v = 0. What is m? -1, -2/3, -1/4 Let -4/3*b**2 - 220/3*b + 152 = 0. Calculate b. -57, 2 Let u(w) be the first derivative of -w**3/6 + 50*w**2 - 5000*w - 526. Factor u(y). -(y - 100)**2/2 Let r(z) be the first derivative of -3 - 5/4*z**4 - 85/12*z**3 - 15/4*z - 10*z**2. Factor r(i). -5*(i + 1)*(i + 3)*(4*i + 1)/4 Let r be 3 - (1/3 + (-575)/(-300)). Let m(j) be the second derivative of 3/4*j**3 - 3*j + r*j**2 + 0 + 3/8*j**4 + 3/40*j**5. Let m(c) = 0. Calculate c. -1 Let b(v) be the first derivative of -7*v**3 + 7*v**2/2 + 4*v + 32. Let g(s) = -11*s**2 + 3*s + 2. Let y(j) = 3*b(j) - 5*g(j). Let y(t) = 0. What is t? -1/4, 1 Let x(p) be the first derivative of 22*p - 5 + 12*p**2 + 2/3*p**3. Suppose x(j) = 0. What is j? -11, -1 Let j = 208 + -1455/7. Let g(l) be the first derivative of 5 + 1/14*l**4 + 2/21*l**3 - 2/7*l - j*l**2. What is k in g(k) = 0? -1, 1 Factor 0 + 1/7*y**4 + 0*y + 144/7*y**2 - 24/7*y**3. y**2*(y - 12)**2/7 Factor -7*d**2 - 10*d - 722 - 5*d**2 - 66*d + 10*d**2. -2*(d + 19)**2 Let g(m) be the first derivative of -65*m**6/18 + 4*m**5/3 + 149. Factor g(b). -5*b**4*(13*b - 4)/3 Let c(j) be the second derivative of 9*j + 1/96*j**4 + 0 - 1/336*j**7 + 0*j**2 - 3/160*j**5 + 0*j**3 + 1/80*j**6. Find f such that c(f) = 0. 0, 1 Let p = -5/211 + 8485/1899. Suppose 0*j + 8/9*j**2 + 0 + 46/9*j**4 + 14/9*j**5 + p*j**3 = 0. What is j? -2, -1, -2/7, 0 Factor -62*z**2 - 4*z**4 - 4*z + 0 + 127/4*z**3. -z*(z - 4)**2*(16*z + 1)/4 Determine o so that 284*o**3 + 834*o**4 + 928*o**4 - 76*o - 44*o**5 - 36*o**2 - 1858*o**4 - 20*o**5 - 12 = 0. -3, -1/4, 1 Let q(k) be the third derivative of 25*k**8/336 - k**7/42 - 64*k**2. Factor q(t). 5*t**4*(5*t - 1) Let v(q) = -q**3 + 11*q**2 - 5*q - 5. Let m = 79 + -72. Let l(h) = -2*h**3 + 16*h**2 - 7*h - 7. Let y(o) = m*v(o) - 5*l(o). Determine s, given that y(s) = 0. 0, 1 Let n(y) be the third derivative of y**8/336 - y**7/42 + 7*y**6/120 + y**5/60 - y**4/3 + 2*y**3/3 + 122*y**2. Suppose n(j) = 0. What is j? -1, 1, 2 Let f(d) = -9*d**2 - 31*d - 72. Let l(o) = 5*o**2 + 16*o + 36. Suppose u - 2*u = -4*k + 27, 2*u + 9 = -k. Let x(s) = u*l(s) - 4*f(s). Find y such that x(y) = 0. -6 Let r = 344 - 193. Factor -2*o**2 - r*o + 147*o + 3 + 3. -2*(o - 1)*(o + 3) Let p be (0 - 2)*16/64*-1. Find y such that -7/2*y + p*y**4 + 1 + 9/2*y**2 - 5/2*y**3 = 0. 1, 2 Let l be (1 + 0)*(-1 + 1). Factor -15*u**2 + l*u + 3*u - 8*u. -5*u*(3*u + 1) Let t = -390 + 394. Let i(l) be the second derivative of 0 + 7*l - 9/10*l**5 + 7/6*l**t - 2/3*l**3 - 1/21*l**7 + 0*l**2 + 1/3*l**6. Find j, given that i(j) = 0. 0, 1, 2 Let j(u) be the first derivative of -343*u**4/12 - 196*u**3/3 - 56*u**2 - 64*u/3 + 56. Factor j(g). -(7*g + 4)**3/3 Let c(a) = 0*a**2 + 6*a - 1 + 8*a - 6*a**2 - 7*a. Let q(h) be the first derivative of -h**3 + 3*h**2/2 - 4. Let m(p) = 3*c(p) - 5*q(p). Factor m(s). -3*(s - 1)**2 Solve -2/3*l + 1/3*l**4 + 5/3*l**2 - 4/3*l**3 + 0 = 0. 0, 1, 2 Factor 2400*m + 315/2*m**2 - 2560 + 5/2*m**3. 5*(m - 1)*(m + 32)**2/2 Factor 2*q**2 + 20*q**4 + 20*q**3 - 18*q**2 - 32*q + 4*q**3 + 4*q**5 + 5 - 5. 4*q*(q - 1)*(q + 2)**3 Let t(w) be the third derivative of 1/45*w**5 + 0*w + 0 + 0*w**4 + 0*w**3 - 1/315*w**7 - 1/180*w**6 - 5*w**2. Factor t(a). -2*a**2*(a - 1)*(a + 2)/3 Factor 33*s**4 - 7*s - 38*s**4 + 2*s + 5*s**3 + 5*s**2. -5*s*(s - 1)**2*(s + 1) Let g(m) be the first derivative of 1/5*m - 1/10*m**2 - 1/30*m**6 + 1/25*m**5 + 13 + 1/10*m**4 - 2/15*m**3. Factor g(k). -(k - 1)**3*(k + 1)**2/5 Let f = 67 - 70. Let z be ((-6)/28)/(f - 3/(-2)). Factor 0*t - 2/7*t**2 - z*t**3 + 0. -t**2*(t + 2)/7 Let j(d) be the first derivative of 15*d**6/4 + 21*d**5/10 - 141*d**4/8 + 9*d**3/2 + 15*d**2 - 6*d + 251. Find y, given that j(y) = 0. -2, -2/3, 1/5, 1 Suppose 0 = 3*b - 3, 0 = -y - b + 5*b. Suppose -7*j = -2*j - 4*x, 3*j + x = 0. Factor 1/6*k + 0 + j*k**y - 1/3*k**3 + 0*k**2 + 1/6*k**5. k*(k - 1)**2*(k + 1)**2/6 Suppose -468/7*l - 2/7*l**2 - 27378/7 = 0. What is l? -117 Let t(b) be the first derivative of 1/7*b**2 - 1/21*b**3 - 1 - 1/7*b. Let t(r) = 0. Calculate r. 1 Suppose 30*q - 35*q + 5370 = 0. Find s, given that -4*s**3 + q*s - 6 - 1083*s + 7*s**3 = 0. -1, 2 Let n(m) = -8*m**3 - 9*m**2 + 7*m + 7. Let r(o) = 7*o**3 + 8*o**2 - 6*o - 6. Let t(l) = 6*n(l) + 7*r(l). Factor t(b). b**2*(b + 2) Let d = 14 - 12. Let p = -8 - -11. Factor 4*m**p - 4*m + 6 - 4*m**2 + 2 - 2 - d. 4*(m - 1)**2*(m + 1) Let q(a) = 9*a**4 + 20*a**3 - 11*a**2 - 50*a + 44. Let g(h) = 19*h**4 + 40*h**3 - 21*h**2 - 100*h + 89. Let o(j) = -4*g(j) + 9*q(j). Let o(t) = 0. Calculate t. -4, -2, 1 Suppose 0 = -20*a - 51 + 111. Determine p so that 0*p**2 - 1/5*p + 1/5*p**a + 0 = 0. -1, 0, 1 Let n(s) be the first derivative of 9*s + 1/3*s**3 - 4 + 0*s**2 + 1/3*s**4 + 1/10*s**5. Let y(g) be the first derivative of n(g). What is d in y(d) = 0? -1, 0 Suppose 6*h = -2*h + 24. Solve 17*z**2 - 25*z**2 + 0*z**3 - 2*z**h - 8*z = 0. -2, 0 Let f(c) be the third derivative of c**10/37800 + c**9/5040 - c**7/315 + 2*c**5/15 + 3*c**2. Let t(b) be the third derivative of f(b). What is j in t(j) = 0? -2, 0, 1 Determine p so that 5937*p**4 - 8*p**3 - 5934*p**4 - 25*p**3 + 54*p**2 = 0. 0, 2, 9 Let j be (-5 - -3)*(-12)/(-8). Let z be ((-2)/(-3))/(j/(-243)). Suppose -62 - 52*v + 12*v**3 - v**4 + 160*v - 19 - z*v**2 = 0. Calculate v. 3 Factor -3*l**2 - 2*l**2 - 21 + 30*l + 64 + 37. -5*(l - 8)*(l + 2) Let r(g) be the second derivative of g**4/3 - 100*g**3/3 + 1250*g**2 + 50*g. Factor r(h). 4*(h - 25)**2 Let k(n) be the first derivative of -n**6/3 - 152*n**5/15 - 227*n**4/6 - 100*n**3/3 + 92*n**2/3 + 176*n/3 - 554. Determine l so that k(l) = 0. -22, -2, -1, 2/3 Let j(l) be the second derivative of -4/75*l**6 + 3/25*l**5 + 1/15*l**3 + 0 + 0*l**2 + 16*l - 2/15*l**4 + 1/105*l**7. Find m, given that j(m) = 0. 0, 1 Let g(o) be the third derivative of o**7/630 + 2*o**6/45 - 5*o**5/12 + 49*o**4/36 - 20*o**3/9 - 663*o**2. Find m such that g(m) = 0. -20, 1, 2 Let h(s) be the third derivative of -s**5/330 + s**4/44 - 2*s**2 + 5. Suppose h(j) = 0. Calculate j. 0, 3 Let q(d) be the first derivative of 6/7*d - 6/35*d**5 + 0*d**3 + 15/28*d**4 - 9 - 15/14*d**2. Find r, given that q(r) = 0. -1, 1/2, 1, 2 Suppose 3*h + 4*l = 0, h + h = 4*l + 20. Determine s, given that 3*s**2 + 9*s**h + 140 - 140 - 12*s**3 = 0. 0, 1/3, 1 Let s be (-2)/15 + 231/45. Let h(d) be the first derivative of 0*d + 7 - 4/15*d**s - 8/9*d**3 - 4/9*d**2 - 13/18*d**4 - 1/27*d**6. Factor h(p). -2*p*(p + 1)**2*(p + 2)**2/9 Let j(b) be the first derivative of -b**6/8 - 9*b**5/20 + 21*b**4/16 + 15*b**3/4 - 27*b**2/4 - 90. Solve j(k) = 0. -3, 0, 1, 2 Let r(n) be the second derivative of n**7/18 + 13*n**6/18 - n**5/20 - 181*n**4/36 + 38*n**3/9 + 6*n**2 + 577*n. Suppose r(z) = 0. What is z? -9, -2, -2/7, 1 Let o(d) be the third derivative of d**7/70 - 19*d**6/8 + 279*d**5/20 - 277*d**4/8 + 46*d**3 + 54*d**2 - 2. Factor o(f). 3*(f - 92)*(f - 1)**3 Suppose 18*z = 89*z + 16*z - 174. Factor 0 - w**z + 1/3*w**4 + 2/3*w + 0*w**3. w*(w - 1)**2*(w + 2)/3 Let t = 137/320 + 11/64. Factor 3/5*f + 3/5 - t*f**3 - 3/5*f**2. -3*(f - 1)*(f + 1)**2/5 Let a(b) = -3*b. Let v(i) = -5*i**2. Let t(f) = -14*f**2 + f. Let d(q) = -4*t(q) + 11*v(q). Let g(u) = -3*a(u) + 3*d(u). Factor g(m). 3*m*(m - 1) Let c(z) = 2*z**3 - 5*z. Let n(f) = -f**3 + f**2 + f. Let o(h) = h**2 + 7*h + 7. Let j be o(-6). Let r(l) = j*c(l) + 3*n(l). Find s, given that r(s) = 0. 0, 1, 2 Let u be -7 + (-1)/(44/(-14) + 3). Factor u + 0*n**2 - 1/4*n + 1/4*n**3. n*(n - 1)*(n + 1)/4 Let y(j) be the first derivative of -j**6/540 - j**5/90 + j**4/12 - 4*j**3/3 + 16. Let t(d) be the third derivative of y(d). Determine u so that t(u) = 0. -3, 1 Let n(w) = -3*w**5 - 7*w**4 + 103*w**3 - 227*w**2 + 173*
{ "pile_set_name": "DM Mathematics" }
(z) + t(z). 2*z - 1 Let u(w) = 3*w + 5. Let b(n) = 11*n + 12. Let v(x) = -2*b(x) + 5*u(x). Let d(k) = -k. What is -3*d(p) + v(p)? -4*p + 1 Let k(y) = y**2 - y - 1. Suppose 5*c + 4*a = -21, -5*a = 49*c - 44*c + 20. Let p(q) = -3*q**3 - 3*q**2 + 5*q + 5. What is c*k(d) - p(d)? 3*d**3 - 2*d**2 Let i(h) = 278189*h + 1981. Let b(d) = -562*d - 4. Calculate -1981*b(a) - 4*i(a). 566*a Let j(i) = 1281*i + 10. Let t(u) = -5125*u - 45. Give -9*j(r) - 2*t(r). -1279*r Let w(l) = 2*l**2 - 1. Let g(h) = 4*h**2 - h - 2. Determine 3*g(v) - 7*w(v). -2*v**2 - 3*v + 1 Let t(c) = -25*c**2 + 9*c + 25. Let w(i) = 9*i**2 - 3*i - 8. What is -4*t(a) - 11*w(a)? a**2 - 3*a - 12 Suppose 2*k + 19 = 3*y, 23 = -y - 2*k + 16. Let p(r) = -5*r**2 - r - 9. Let c(b) = 4*b**2 + 8. Determine y*c(j) + 2*p(j). 2*j**2 - 2*j + 6 Let r(h) = 16*h - 1 + 1 - 34361*h**2 + 34337*h**2. Let x(j) = -j**2 + j. What is -r(t) + 16*x(t)? 8*t**2 Let h(l) = -l**2 - 19*l + 386. Let x be h(-30). Let v(k) = 266*k**2. Let n(c) = -14*c**2. Determine x*n(u) + 3*v(u). 14*u**2 Let z(j) = -7*j**3 - 6*j**2 - 6*j - 274. Let y(q) = q**3 + q**2 + q - 3. Give -6*y(g) - z(g). g**3 + 292 Let r be (-2)/(-6)*(-7 + 16). Let m(j) = -8 + 12*j**2 + 68*j - 38*j + 9*j**r - 38*j - 4*j**2. Let n(a) = -3*a**3 - 3*a**2 + 3*a + 3. Give 3*m(d) + 8*n(d). 3*d**3 Let y(x) = -7*x**3 - 5*x**2 + 4*x + 8. Let q(w) = 48*w**3 + 36*w**2 - 27*w - 54. Determine -4*q(j) - 27*y(j). -3*j**3 - 9*j**2 Let o(b) = 95046*b**2 + 1023*b. Let l(q) = -186*q**2 - 2*q. What is 2046*l(r) + 4*o(r)? -372*r**2 Let n(s) = -s**2 - s. Let m(j) = -5*j**2 - 4*j - 174. Calculate -m(h) + 4*n(h). h**2 + 174 Let a(o) = 11*o**3 - o + 8. Let b(r) = -11*r**3 + r - 7. Give 5*a(s) + 6*b(s). -11*s**3 + s - 2 Let a(m) = 86*m + 7. Let f(c) = 257*c + 19. What is -8*a(z) + 3*f(z)? 83*z + 1 Suppose 9*z + w = 4*z + 271, 0 = -5*z + 5*w + 295. Let p(u) = -125*u. Let o(x) = 9*x. Calculate z*o(i) + 4*p(i). -5*i Let a(y) = 31*y + 2. Let l(v) = -v. What is -a(h) - 5*l(h)? -26*h - 2 Suppose 0 = 404*y - 412*y - 8. Let p(j) = 5*j**2 + 7*j + 1. Let b(l) = -l**2 - l. What is y*p(g) - 4*b(g)? -g**2 - 3*g - 1 Let r(h) = 86*h - 357*h + 138*h - 1140*h**2. Let v(w) = -43*w**2 - 5*w. Determine -5*r(u) + 133*v(u). -19*u**2 Let f(c) = -1254*c**3 + 16*c**2 - 16*c + 10. Let t(m) = -418*m**3 + 5*m**2 - 5*m + 3. Calculate -5*f(z) + 16*t(z). -418*z**3 - 2 Suppose -14 = -c - 2*c + 4*u, 5*u + 25 = 0. Let o(g) = 26*g**3 + 10*g**2 + 1. Let m(x) = -5*x**3 - 2*x**2. Give c*o(r) - 11*m(r). 3*r**3 + 2*r**2 - 2 Let v(i) = -5*i**3 + 1. Let o(b) = -82*b - 658. Let n be o(-8). Let h(c) = -6*c**3 + 1. Give n*h(r) + 3*v(r). -3*r**3 + 1 Let i(s) = -s**2 + 4*s - 5. Let z be i(2). Let t(d) = -d**2 - d + 1. Let n(w) = 2*w**3 + 3*w**2 + 2*w. Give z*n(h) - 3*t(h). -2*h**3 + h - 3 Let s(c) = -3*c. Let x(q) = 9*q - 15. Let f(g) = 2*g - 3. Let n(t) = 5*f(t) - x(t). Give -5*n(v) + s(v). -8*v Let o(g) = -g. Let x(j) = -99*j**2 - 22*j. Determine -22*o(i) + x(i). -99*i**2 Let x(u) = u + 1. Let q(y) = 9*y + 4. Suppose -17*p - 40 = -23. Calculate p*q(g) + 5*x(g). -4*g + 1 Let o(m) = m + 1. Let x(f) be the third derivative of f**4/8 + 7*f**3/6 - 80*f**2. Give -4*o(h) + x(h). -h + 3 Let m(i) = -4*i**3 + 2*i**2 + 4*i - 1. Let k be m(2). Let a(b) = -20*b**2 + 11*b - 17. Let r(d) = -7*d**2 + 4*d - 6. Calculate k*r(o) + 6*a(o). -o**2 - 2*o Let u(q) = -3 + 1411*q - 2816*q + 1415*q. Let o(m) = -3 - 4 + 3*m + 6. Calculate 14*o(y) - 4*u(y). 2*y - 2 Let c(y) = 2*y**3 - 3*y**2 + 4*y. Let b(f) = f**3 - f**2 + f. Suppose -h = -59*n + 60*n - 5, -3*n + 8 = -4*h. What is h*c(q) - 5*b(q)? -3*q**3 + 2*q**2 - q Let b(r) = -r**3 + 5*r**2 + 5*r + 5. Let v(m) = 2*m**3 - 14*m**2 - 14*m - 14. Let k = 9 - 6. Let j be (k - 0) + -1 + -7. Calculate j*v(w) - 14*b(w). 4*w**3 Let l(t) = -9*t**2 + 7*t + 3. Let s(v) = 9*v**2 - 6*v - 2. Calculate 2*l(w) + 3*s(w). 9*w**2 - 4*w Let f(u) be the first derivative of -u**3/3 + u**2/2 - u - 3990. Let j(i) = 2*i - 4 + 0*i + i**2 - i. Determine -2*f(t) + j(t). 3*t**2 - t - 2 Let m(h) = -22*h**2 + 41*h**2 - 20*h**2 - 1. Let a(l) = 6*l**2 + 12. Give a(c) + 9*m(c). -3*c**2 + 3 Let v(m) = 5*m + 10. Let p(j) = -8*j - 9. Let y(k) = -2*p(k) - 3*v(k). Let u(x) = -4. What is -8*u(t) + 3*y(t)? 3*t - 4 Let t be 10/(-1) + (-2 - -1). Let x(p) = 2*p - 3. Let j(o) = 30 - o - 104 + 34 + 41. Determine t*j(v) - 4*x(v). 3*v + 1 Let i(f) = 2*f**2 - 8*f - 14. Let n(q) = -q**2 + q - 1. Determine i(l) + 6*n(l). -4*l**2 - 2*l - 20 Let h(z) = 11*z - 5. Let m = 17 - 12. Suppose 2*j = -3*j - 40. Let d = j - -11. Let r(l) = -6*l + 3. Give d*h(k) + m*r(k). 3*k Let x(r) = -117*r + 8. Let g(t) = 1055*t - 70. Give 4*g(d) + 35*x(d). 125*d Let g = 13 + -8. Let r(z) = -3*z - 4*z + 2*z + g + 0. Suppose 4*o - 2*q + q + 25 = 0, 4*q - 23 = 5*o. Let v(p) = -3*p + 3. Give o*v(d) + 4*r(d). d - 1 Let c(i) = -9*i. Suppose -4*r - l + 2*l = -22, -4*r + 4*l + 16 = 0. Let p = 7 - 4. Let v(t) = p - 1 + t - 2. Determine r*v(x) + c(x). -3*x Let s(c) = -2*c**3 + c**2 + 6*c - 4. Let x(y) = -2*y**3 + 2*y**2 + 5*y - 3. Suppose 0 = 2*q + 4*l + 2, -3*q = -7*q + 5*l - 17. Calculate q*s(g) + 4*x(g). -2*g**3 + 5*g**2 + 2*g Suppose 2*v - 6 = 2. Let y(u) = 21*u**2 - 27*u. Let b(g) = -3*g**2 + 13 - 2*g + 6*g - 13. Determine v*y(o) + 27*b(o). 3*o**2 Let o(i) = -i. Let d(w) be the first derivative of 2*w**3/3 + 2*w**2 + 2. Let l = -3134 + 3133. Give l*d(f) - 4*o(f). -2*f**2 Let q be -1*35/7 + 8. Let k(d) = 2*d**2 - 5*d - 3. Let y(w) = -2*w**2 + 4*w + 2. Give q*y(j) + 2*k(j). -2*j**2 + 2*j Let n(m) = -2 + 2 + 9*m - 2 - 4*m. Suppose -10*x = 8*x + 126. Let r(f) = 15*f - 7. Determine x*n(q) + 2*r(q). -5*q Let b(l) = 2*l**3 + 2*l - 1. Let t(f) = 2202*f**3 + 2936*f - 1468. Determine -1468*b(u) + t(u). -734*u**3 Let z(d) be the first derivative of -2*d**2 - 5*d - 1. Let f(i) = i - 2. Let k be f(5). Let n(q) = -q - 5 - k + 7. What is -5*n(x) + z(x)? x Let f(j) = -j. Let t(h) be the second derivative of -h**4/4 + 4*h**3/3 - h. Let m = 636 - 642. What is m*f(n) - t(n)? 3*n**2 - 2*n Let l = -514 - -519. Let c(d) = -5*d - 9. Let k(p) = -9*p - 17. Determine l*c(s) - 3*k(s). 2*s + 6 Let f(p) = p**3 + 5*p**2 + p + 6. Let b(x) = -x**3 - 5*x**2 - x - 5. Give -7*b(z) - 6*f(z). z**3 + 5*z**2 + z - 1 Let h(i) = -4*i**3 + 8*i**2 - 36*i - 9. Let v(y) = y**3 - y**2 + y + 1. Determine h(u) + 6*v(u). 2*u**3 + 2*u**2 - 30*u - 3 Let k(z) = 3*z**3 - z**2 + 2. Let m be (-2)/3*(14 + 17 + -28). Let u(q) = -13*q**3 + 3*q**2 - 9. Calculate m*u(x) - 9*k(x). -x**3 + 3*x**2 Let g(u) = 5*u - 2. Let y(b) = -2*b - 4. Let t be y(-3). Let s be (3/t)/(5/20). Let z(x) = s*x + 4*x - 3*x + 7*x - 5. Determine -11*g(f) + 4*z(f). f + 2 Let o(r) = -r**2 + r + 1. Let z(p) = p**2 - 30*p + 83. Let a be z(3). Let x(w) = 5*w**2 - w - 2. Calculate a*o(n) + x(n). 3*n**2 + n Let y(m) = 9*m**3 - 6*m + 4. Let o(u) = -19*u**3 + 11*u - 8. Determine 6*o(w) + 11*y(w). -15*w**3 - 4 Let x(p) = p**2 + 1. Let s(g) be the third derivative of -g**5/6 + g**4/8 - 3*g**3/2 + 38*g**2 + 2*g. What is -2*s(r) - 18*x(r)? 2*r**2 - 6*r Let i(p) = 3*p + 1. Let b(f) = 3*f + 3 - 3 - 4*f + 2*f. What is 2*b(u) - i(u)? -u - 1 Let b(q) = -565*q**2 - 572*q**2 + 5*q - q**3 + 1137*q**2 + 5. Let r = -7 - -12. Let y(c) = -2*c**3 + 4*c + 4. Calculate r*y(x) - 4*b(x). -6*x**3 Let f(x) = 7*x - 36. Let w(y) = -3*y + 19. Determine -2*f(q) - 5*w(q). q - 23 Let o(j) = 36*j - 3. Let a(v) = v. Calculate a(m) + o(m). 37*m - 3 Let p(a) be the third derivative of 0*a + 0 + 16*a**2 - 1/6*a**3. Let y(s) = -7*s + 1. Let b be y(1). Let w(j) = -2*j**2 + 5. Calculate b*p(t) - w(t). 2*t**2 + 1 Let t(z) = z**2 + 1. Let q(w) = -5*w**3 + 3*w**2 - 2*w + 1. Give -q(i) + 3*t(i). 5*i**3 + 2*i + 2 Let a = -54 - -52. Let g(b) = b - 1. Let s(z) be the second derivative of -1/3*z**3 - 2*z + 0 + 1/2*z**2. Give a*s(o) - 3*g(o). o + 1 Let b(h) = -9*h**2 + 5. Let c(n) = 14*n**2 - 7. Let r(o) = o + 29. Let i be r(-24). Give i*c(z) + 7*b(z). 7*z**2 Let y(d) = -4*d + 650. Let o(b) = b - 162. Calculate -9*o(f) - 2*y(f). -f + 158 Let g(l) = -7*l**2 - l + 2. Let i(q) = -203*q + 203*q + 0*q**2 + q**2. Calculate g(j) + 3*i(j). -4*j**2 - j + 2 Let b(k) be the first derivative of -5*k**3/2 + 13*k**2/2 + 15*k - 7. Let l(f) be the first derivative of b(f). Let c(r) = 8*r - 7. Determine 11*c(t) + 6*l(t). -2*t + 1 Let i
{ "pile_set_name": "DM Mathematics" }
actor of 30 and n? 15 Let k be 13/26 + (-42)/(-4) + 1. Suppose -3*z - k = -147. Calculate the greatest common divisor of z and 30. 15 Let t(l) = 15*l - 130. Let i be t(19). Calculate the highest common divisor of i and 31. 31 Let t(z) = -117*z - 16. Let x be t(-6). Let g = 444 - x. Let y = -53 - g. Calculate the highest common divisor of 21 and y. 21 Let q be (7 - 8)/((-2)/28). Calculate the greatest common divisor of 742 and q. 14 Suppose 21*x = -2*x + 207. Calculate the highest common divisor of 324 and x. 9 Suppose -8*n = -7*n + 3*v + 3, -3*v + 15 = 4*n. What is the greatest common factor of 12 and n? 6 Let m = 1538 - 1499. Calculate the highest common factor of 27 and m. 3 Let t(l) = l**3 + 15*l**2 + 15*l + 18. Let y be (-355)/25 + 2/10. Let q be t(y). Suppose -23 = -q*n + 17. What is the highest common factor of n and 10? 10 Suppose 0 = 6*r - 11*r - 3*q + 61, 3*q = -9. Calculate the greatest common factor of 4 and r. 2 Let u = -26 + 27. Let i(r) = -2*r - 11. Let l be i(-8). Suppose 4*c = 2*b + 32, -5*b = -l*c + c + 26. Calculate the greatest common divisor of u and c. 1 Suppose -15*o + 13*o - 24 = -3*k, -o = -2*k + 16. What is the greatest common factor of k and 40? 8 Let r(y) = -3*y + 3. Let c be r(-5). Suppose c + 7 = 5*i. Calculate the highest common divisor of i and 5. 5 Suppose -73 = -5*k + v, -4*k + 4*v - 58 = -9*k. Let a(p) = -p**2 - 18*p - 13 + 0*p**2 + 2 + 1. Let r be a(-8). What is the highest common factor of k and r? 14 Let j be (-116)/(-4) - (-20)/(-4). Suppose 3*c = -j + 57. Calculate the highest common factor of c and 121. 11 Let k(d) = -4*d**2 - 3*d + 1. Let p(z) = 5*z**2 + 3*z. Let h(j) = 2*k(j) + 3*p(j). Let b be h(-2). What is the highest common factor of b and 16? 8 Let f = 27 + 0. Let l = 13 - f. Let h = l - -22. Calculate the greatest common divisor of 64 and h. 8 Suppose -89 = 5*p + 136. Let d be -1 - ((-4)/(-2) + p). Suppose 2*v - 144 - 50 = -4*x, -5*x = 20. What is the greatest common factor of v and d? 21 Let c be (-12)/(-4)*1 + 58. Calculate the highest common factor of c and 61. 61 Let t(h) = 8*h**3 - 1. Let v be t(2). Let n be 16/4*3 - 3. Calculate the greatest common factor of n and v. 9 Suppose 0 = 4*v + 20, -5 = k - 2*v - 13. Let r(b) = -2*b**3 - 4*b**2 - 3*b - 2. Let o be r(k). What is the greatest common divisor of 28 and o? 4 Let p(y) = 6*y**2 - 98*y + 377. Let m be p(4). What is the highest common divisor of 54 and m? 27 Let d = -18 + 25. Let u = -4 + d. Let l be (u + -1)*42/4. Calculate the highest common divisor of 3 and l. 3 Suppose -3*a - 2*a + 5*i = -80, -4*i = -a + 7. Let y = a + -12. Let n = 12 + y. What is the highest common factor of 19 and n? 19 Suppose 54*f - 53*f = 0, 2*n - 138 = -f. What is the greatest common divisor of n and 3? 3 Let v = 2019 + -1051. Calculate the greatest common factor of 8 and v. 8 Suppose -14616 = -78*f - 6*f. What is the greatest common divisor of 464 and f? 58 Let h(b) = -b - 1 + 4 + 0*b - 1. Let g = 56 + -60. Let d be h(g). What is the greatest common factor of 66 and d? 6 Let v(z) = -z**2 - 15*z + 59. Let f be v(-18). What is the highest common divisor of f and 545? 5 Suppose -4*v = 5*b - 22, -6*v = -2*v + 4*b - 20. Suppose -10 + 16 = v*d. Calculate the highest common factor of 14 and d. 2 Let v(u) = u**3 - u**2 + 19. Let c be v(0). Let j = c + -5. Suppose 56 = 3*w + j. Calculate the greatest common divisor of w and 112. 14 Let m = -11 - -71. Suppose 3*d + 0*d - m = 0. Calculate the greatest common divisor of d and 10. 10 Let i = 4 + -3. Let h be (-272)/(-6) - i/3. Let v = h - 25. What is the greatest common divisor of 10 and v? 10 Let v(l) = 11*l**2 + l + 2. Let y be v(4). Let o be 84/(-126) - 152/(-3). Let i = y - o. What is the highest common factor of i and 12? 12 Suppose -4 = -2*a - 0. Let v(z) = -1 + 0*z**2 - 2*z - z**a - 5*z + 2. Let w be v(-6). Calculate the greatest common divisor of 77 and w. 7 Suppose 0 = 2*v - d + 1, 0*d - 4 = 2*v + 2*d. Let l be (14 - v) + (1 - 1). Let b(y) = -59*y + 2. Let j be b(-2). What is the greatest common factor of l and j? 15 Suppose 12*t - 120 = 11*t. What is the greatest common factor of 90 and t? 30 Suppose -16 + 36 = z. Let h = z + -6. Calculate the greatest common divisor of h and 2. 2 Suppose -361 = -7*m + 1774. Calculate the highest common divisor of 61 and m. 61 Let p = -696 - -719. Suppose 4*c - 77 = -5*z, -3*z + 2*c + 0*c = -33. Suppose 3*m - z = p. What is the highest common factor of m and 12? 12 Suppose -79 = a - 204. Let o = -155 + 57. Let t be (-7)/(-14) + o/(-4). Calculate the highest common factor of t and a. 25 Suppose -c = 4*c - 35. Let g be 3/c*-2*-7. Let n = g - -1. What is the greatest common divisor of n and 21? 7 Suppose 2*r - 28 - 46 = 0. Suppose l - r = 2*s + s, -s = -l + 39. What is the highest common factor of l and 8? 8 Suppose -5*z - 5*j = -10, -10 + 4 = -3*z + 4*j. Let a be 184/(-16)*((2 - z) + -4). What is the greatest common divisor of a and 69? 23 Let c be 21 - (-7 - (-8 + 2)). Calculate the highest common divisor of 550 and c. 22 Let o be 1/((-3)/(-6)) - -12. Let n be -3 + (4 - (-2 - 2)). Suppose 0 = n*f - 88 - 192. Calculate the greatest common divisor of f and o. 14 Let b be ((-2)/6)/((-29)/(-2001)). Let d(x) = x + 37. Let r be d(b). What is the greatest common divisor of 56 and r? 14 Let z = -11 - -14. Suppose 0 = z*u - 4*u. Suppose 8*y - 3*y - 15 = u. Calculate the highest common divisor of 6 and y. 3 Let c(k) = 2*k**3 - 6*k**2 - 8*k + 12. Let s be c(5). Suppose -5*z + 72 + 7 = 4*n, n = -4*z + s. What is the greatest common divisor of z and 209? 19 Let l = -1001 - -1012. What is the highest common factor of l and 11? 11 Let v be 4/42*3*7. Suppose -2*n - 144 = -s + 3*n, 0 = 5*s - v*n - 720. Calculate the highest common factor of s and 36. 36 Let j = -35 + 52. Let z(g) = g**2 + 6*g - 9. Let y be z(-7). Let w be (-5)/y - 667/(-46). What is the greatest common divisor of j and w? 17 Suppose -5*g + 111 = -2*j, -4 = -5*j + 3*j. Let y = -24 + g. Let l be (6/(-8))/(y/24). Calculate the highest common divisor of 6 and l. 6 Let v = -71 - -100. Suppose 45*p - 899 = 14*p. Calculate the highest common factor of p and v. 29 Let s be -3 - (-4)/8*14. Suppose 0*b = s*b - 16. Let p be (-80)/(-6)*3/2. What is the greatest common factor of b and p? 4 Suppose -44*k + 125 = -19*k. Suppose 15 = 3*q, 0*c = 4*c + 3*q + 11001. Let d be (c/(-85))/(2/k). What is the highest common divisor of d and 9? 9 Let k = 4 - 6. Let j = 32 - k. Let q = -197 + 282. What is the greatest common divisor of j and q? 17 Suppose -3 = 59*n - 60*n. What is the highest common factor of n and 135? 3 Let u(s) be the second derivative of -9*s**5/5 + s**3/3 + s**2/2 + 8*s. Let n be u(-1). What is the greatest common divisor of 280 and n? 35 Suppose -2*s + 1 = 9, n - 44 = -s. Let o = n - 42. Calculate the greatest common factor of 18 and o. 6 Let y(v) = -20*v**2 - 4*v - 36. Let f(k) = 19*k**2 + 5*k + 35. Let c(h) = 6*f(h) + 5*y(h). Let j be c(-3). Calculate the highest common factor of j and 63. 63 Let x(j) = -15*j**3 - 2*j - 1. Suppose -12*q = -2 + 14. Let y be x(q). Calculate the greatest common factor of 56 and y. 8 Suppose 18 - 13 = y. Suppose -2*h + 10 = 0, 3*i + y*h - 304 = -0*h. Calculate the greatest common factor of i and 31. 31 Let b = 1400 - 839. What is the greatest common factor of b and 11? 11 Let m(b) = -b**2 - 3*b + 9. Let s be m(6). Let l = -41 - s. Calculate the greatest common divisor of 36 and l. 4 Let c(x) be the third derivative of 0*x - 1/12*x**4 + 0 - 9*x**2 - 1/60*x**5 + 4*x**3. Let h be c(0). What is the highest common divisor of 36 and h? 12 Suppose 5*k + b + 31 = 0, 4*k - k + 16 = 2*b. Let q(j) = -4*j - 6. Let o be q(k). What is the highest common divisor of 12 and o? 6 Let k(m) = -8*m**3 + m + 315. Let j be k(0). What is the greatest common factor of j and 84? 21 Suppose -4*m - 59 = -5*m. Suppose s - 64 = -4*h, -m = s - 2*s + h. What is the highest common factor of s and 90? 30 Suppose 37 + 338 = 3*d. What is the greatest common divisor of d and 75? 25 Let o = 1661 - 1658. What is the greatest common factor of o and 339? 3 Let f = -68 + 86. Let b = f + -15. Calculate the highest common factor of b and 9. 3 Let a(u) = 3*u**3 - 3*u**2 + 3*u + 9. Let y be a(-2). Let g = y - -41. Suppose 0 = 2*l - 35 - 29. Calcu
{ "pile_set_name": "DM Mathematics" }
(-10)). Factor 0*s + 0 - 2/11*s**2 + 2/11*s**4 - d*s**3 + 2/11*s**5. 2*s**2*(s - 1)*(s + 1)**2/11 Let y be ((-2)/15)/(8/(-10)). Let m(l) be the third derivative of -3*l**2 - 1/60*l**6 + 0*l**3 + 0 + 0*l - 1/30*l**5 + y*l**4. Find q such that m(q) = 0. -2, 0, 1 Let s be (-1*6)/((36/(-6))/3). Let j(u) be the third derivative of 0*u + 0 - 1/30*u**6 - 1/6*u**s + 0*u**5 + 1/8*u**4 - u**2. Factor j(o). -(o + 1)*(2*o - 1)**2 Let x be 6/((6/(-4))/(-1)). Factor -z**2 - 3*z + 3*z**2 - x*z + 6*z - z**3. -z*(z - 1)**2 Let b = -4/11 + 23/33. Let l(y) be the first derivative of -b*y + 2 - 1/9*y**3 + 1/3*y**2. Factor l(w). -(w - 1)**2/3 Let i(v) be the second derivative of -v**5/15 - v**4/3 + 8*v**2/3 + 5*v. Factor i(k). -4*(k - 1)*(k + 2)**2/3 Let o be 37/(-222)*(-3)/2. Factor 1/4 + o*j - 1/4*j**2 - 1/4*j**3. -(j - 1)*(j + 1)**2/4 Let g(v) = v**2 - 2*v + 2. Let p be g(2). Let s be (1 + 1 + -2)/2. Factor -1/3*q**3 + 2/3*q**p + s + 0*q. -q**2*(q - 2)/3 Let o(k) be the first derivative of 2*k**5/35 + 3*k**4/7 + 26*k**3/21 + 12*k**2/7 + 8*k/7 - 24. What is q in o(q) = 0? -2, -1 Let k(o) be the first derivative of -2 - 1/5*o**2 - 2/15*o**3 + 4/5*o. What is t in k(t) = 0? -2, 1 Let -25*w**2 + 4*w**3 - 37*w**2 + 46*w**2 = 0. What is w? 0, 4 Let j = -3493 + 10367/3. Let r = j - -38. Determine d, given that 2/3*d**4 - r*d + 2*d**2 - 2*d**3 + 0 = 0. 0, 1 Let m = 8/9 + -23/36. Factor -m*b**2 - 3/4*b - 1/2. -(b + 1)*(b + 2)/4 Suppose 0*s**3 - 4/3*s**5 + 4/3*s + 0 - 8/3*s**2 + 8/3*s**4 = 0. Calculate s. -1, 0, 1 Suppose -6 = -4*w + j - 0, -2 = 3*w - 4*j. Let d(t) be the first derivative of -2 + 2/3*t**3 + 2*t**2 + w*t. What is x in d(x) = 0? -1 Let w(f) be the third derivative of f**6/840 + f**5/140 + 5*f**2. Factor w(r). r**2*(r + 3)/7 Find c such that -3 + 3 + 4 + 10*c**4 + 7*c**3 - 14*c**2 - c**3 - 6*c = 0. -1, 2/5, 1 Let y = -105 - -112. Let n(b) be the third derivative of 0*b + 0 + 1/30*b**5 - 1/12*b**4 + 1/60*b**6 + b**2 + 0*b**3 - 1/105*b**y. Factor n(x). -2*x*(x - 1)**2*(x + 1) Let n(r) be the first derivative of 9*r**5/10 - 3*r**4 - 17*r**3/6 + 5*r**2 + 6*r + 20. Factor n(g). (g - 3)*(g - 1)*(3*g + 2)**2/2 Let m be (0 - (-3389)/29)/6. Let l = m + 69/58. Determine q, given that 0 + 0*q - 40/3*q**3 - 10*q**5 + l*q**4 + 8/3*q**2 = 0. 0, 2/5, 2/3, 1 Let a be (-1 + 14/20)/(18/(-48)). Factor -2*w**2 + a*w + 0. -2*w*(5*w - 2)/5 Let b(s) be the second derivative of -s**4/6 - s**3/3 - 44*s. What is w in b(w) = 0? -1, 0 Let j(k) be the first derivative of 3/2*k + 3/16*k**4 - 1 + 15/8*k**2 + k**3. Factor j(l). 3*(l + 1)**2*(l + 2)/4 Let h = 4 + 0. Suppose l - 15 = -h*l. Suppose -2*s - 2*s**2 + s**4 - s**4 + 2*s**l + 2*s**4 = 0. What is s? -1, 0, 1 Let g = -12 - -12. Suppose x - 8 + 6 = 0. Factor g - 1/3*u**x - 2/3*u. -u*(u + 2)/3 Let x(a) be the first derivative of 0*a**5 + 0*a + 4 + 0*a**2 + 1/4*a**6 - 3/8*a**4 + 0*a**3. Factor x(n). 3*n**3*(n - 1)*(n + 1)/2 Let x(s) be the second derivative of -s**9/60480 + s**8/26880 + s**7/10080 - s**6/2880 - s**4/4 - 3*s. Let p(o) be the third derivative of x(o). Factor p(h). -h*(h - 1)**2*(h + 1)/4 Let r(i) = 16*i**5 + 17*i**4 + i**3 + i**2 + 8*i + 7. Suppose -3 = -k - 1. Let b(l) = -l**4 + l**2 + l + 1. Let j(g) = k*r(g) - 14*b(g). Factor j(z). 2*z*(z + 1)**2*(4*z - 1)**2 Let m = -393 - -393. Factor -3/5*g**4 + 0*g + m*g**2 + 0 - 6/5*g**3. -3*g**3*(g + 2)/5 Let s(c) be the third derivative of c**6/1080 + c**5/180 + c**4/72 - 2*c**3/3 + 2*c**2. Let f(x) be the first derivative of s(x). Factor f(q). (q + 1)**2/3 Let w(n) be the third derivative of n**7/315 + n**6/180 - n**5/30 - n**4/36 + 2*n**3/9 - 7*n**2. Factor w(l). 2*(l - 1)**2*(l + 1)*(l + 2)/3 Let g(w) be the third derivative of -w**6/12 + 7*w**5/12 - 35*w**4/24 + 5*w**3/3 - 62*w**2. Let g(l) = 0. Calculate l. 1/2, 1, 2 Suppose c = -3*l - 11, -3*l - 13 = 4*c - 5. Let b be 6*(-3)/24 + c. Factor b*i + 0 + 1/4*i**2. i*(i + 1)/4 Let v = 165 + -1979/12. Let o(a) be the third derivative of -1/3*a**4 + 2/3*a**3 + v*a**5 + 0*a - 1/120*a**6 + 0 - a**2. Determine g, given that o(g) = 0. 1, 2 Suppose -86*c = -77*c - 1620. Factor -300*g**2 - 36 + 500/3*g**3 + c*g. 4*(5*g - 3)**3/3 Factor 6*x**2 - 13*x + 6*x**3 - 7*x**4 + 5*x + 2*x**5 - x**4 + 2*x**2. 2*x*(x - 2)**2*(x - 1)*(x + 1) Let s = -62 - -64. Factor -4/5 - 2/5*t**s + 6/5*t. -2*(t - 2)*(t - 1)/5 Suppose 0 = -5*k + 4*v - 9*v + 10, -k - 10 = -3*v. Let s be (-2 + (3 - k))/1. Factor -2*b + 1/2 - 1/2*b**s + 2*b**3. (b - 1)*(b + 1)*(4*b - 1)/2 Suppose -5*o + 3 = -2*o, 29 = 3*x + 5*o. Suppose 2*d + 2*d - x = 0. Factor -3*n**4 - 2*n**3 - n**d - 4*n**5 + 3*n**2 + 3*n**5 + 3*n + 1. -(n - 1)*(n + 1)**4 Let w(t) be the third derivative of t**8/5040 + t**7/2520 - t**6/1080 - t**5/360 + t**3/6 + 2*t**2. Let g(i) be the first derivative of w(i). Factor g(s). s*(s - 1)*(s + 1)**2/3 Let q(n) be the first derivative of -4*n**6/33 - 6*n**5/55 + 29*n**4/22 - 2*n**3/11 - 25*n**2/11 + 12*n/11 - 53. Suppose q(y) = 0. What is y? -3, -1, 1/4, 1, 2 Let f(d) be the third derivative of 2*d**7/105 - 3*d**6/40 + d**5/10 - d**4/24 - 2*d**2. Suppose f(z) = 0. What is z? 0, 1/4, 1 Suppose 6/5*s**2 + 0*s + 3*s**3 + 0 = 0. What is s? -2/5, 0 Find f, given that -34*f**2 - f**3 + 142*f - 128 + 3*f**3 + 18*f = 0. 1, 8 Suppose -12 = -6*b + 3*b. Let u = 227 - 227. Factor -1/4*z**2 - 1/4*z**b + 1/2*z**3 + u*z + 0. -z**2*(z - 1)**2/4 Suppose 2*u**2 + u**2 + 9*u - 25 + 25 = 0. What is u? -3, 0 Let n be -65 - -66 - (1 + 1 - 1). Factor -2/9*b**4 + 4/9*b**2 + n*b + 2/9*b**3 + 0. -2*b**2*(b - 2)*(b + 1)/9 Let w be ((-24)/140)/(2/(-14) - 0). What is m in 2/5*m + 2/5*m**4 + 6/5*m**3 + 0 + w*m**2 = 0? -1, 0 Let a(g) = -2 + 14*g + 4 - 4*g - 12*g**2. Let p be -5*(-12)/(-10)*(-8)/16. Let l(o) = o**2 - o. Let b(m) = p*a(m) + 15*l(m). Suppose b(u) = 0. Calculate u. -2/7, 1 Let i(a) = -a**3 + 4*a**2 + 22*a - 5. Let y be i(7). Factor -1/6*z**y + 0 - 1/6*z. -z*(z + 1)/6 Suppose -2*g = 5*g - 21. Let r(o) be the second derivative of -1/8*o**g + 0 + 3*o + 1/16*o**4 - 1/80*o**5 + 1/8*o**2. Factor r(t). -(t - 1)**3/4 Let o(n) be the third derivative of -1/4*n**4 + 0 - 5*n**2 - 3/40*n**5 - 1/4*n**3 + 0*n. Factor o(y). -3*(y + 1)*(3*y + 1)/2 Let k(q) be the first derivative of -q**5/15 + q**4/24 + 3*q**2/2 + 3. Let j(b) be the second derivative of k(b). Determine u so that j(u) = 0. 0, 1/4 Let n(h) be the second derivative of -h**5/90 + h**4/54 + h**3/27 - h**2/9 - 6*h. Suppose n(i) = 0. What is i? -1, 1 Let p = -48 - -48. Let s(d) be the first derivative of 0*d**3 + 1/10*d**4 + p*d - 1 - 1/5*d**2. Let s(m) = 0. Calculate m. -1, 0, 1 Let i(b) be the first derivative of 32/25*b**5 - 7/15*b**6 - 11/10*b**4 - 3 + 4/15*b**3 + 0*b + 0*b**2. Determine g so that i(g) = 0. 0, 2/7, 1 Let -6/5*m**4 + 4/5*m + 6/5*m**2 + 0 - 2/5*m**3 - 2/5*m**5 = 0. What is m? -2, -1, 0, 1 What is z in -63*z**2 - 324*z - 318*z**2 - 1400*z**2 - 2187*z**3 + 323*z**2 - 24 = 0? -2/9 Suppose 2*p = -3*p. Let i(m) = -m**3 + 5*m**2 + 5. Let a be i(5). Let 0*z - 2*z + p*z - 4*z**2 + a*z**2 + 1 = 0. What is z? 1 Let g = 204 - 200. Solve 0*v + 1/2*v**g + 0*v**2 + 0 + 1/2*v**3 = 0 for v. -1, 0 Factor r**2 - 1/4*r**4 - 1/8*r**5 + 1/4 + 1/4*r**3 + 7/8*r. -(r - 2)*(r + 1)**4/8 Solve -3*a**2 + 16*a - 334 + 5*a**2 + 334 = 0. -8, 0 Factor 0*h - 1/2*h**3 + 0 + h**2 - 1/2*h**4. -h**2*(h - 1)*(h + 2)/2 Let l(p) be the third derivative of -p**8/168 - p**7/35 - p**6/60 + p**5/10 + p**4/6 + 5*p**2. Let l(d) = 0. What is d? -2, -1, 0, 1 Let f(v) be the second derivative of -1/60*v**4 - 2*v - 1/100*v**5 + 1/10*v**2 + 0 + 1/30*v**3. Factor f(d). -(d - 1)*(d + 1)**2/5 Let y(z) be the second derivative of -3/8*z**4 - 1/3*z**3 + 0 - 1/5*z**5 - 2*z - 1/30*z**6 - z**2. Let n(p) be the first derivative of y(p). Factor n(c). -(c + 2)*(2*c + 1)**2 Suppose 9*x**3 - 9*x**2 + 3*x + 52 - 2*x**4 - 52 - x**4 = 0. What is x? 0, 1 Let n(l) be the third derivative of l**5/210 - l**4/84 - 6*l**2. Let n(j) = 0. What is j? 0, 1 Let u(m) be the third derivative of m**8/336 + m**7/105 + m**6/120 - 6*m**2. Suppose u(g) = 0. What is g? -1, 0 Let w(u) = u**5 + 13*u**4 + 14*u**3 + 9*u**2 + 16*u + 9. Let x(i) = i**5 + 12*i**4 + 14*i**3 + 10*i**2 + 15*i + 8. Let n(j) = 6*w(j) - 7*x(j). Factor n(r). -(r + 1)**4*(r + 2) What is u in 4/5*u**4 + 48/5*u - 12/5*u**3 - 32/5 - 8/5*
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 3764 is divided by 1434. 896 What is the remainder when 118628 is divided by 441? 440 What is the remainder when 25016165 is divided by 753? 752 What is the remainder when 4719 is divided by 27? 21 Calculate the remainder when 885139 is divided by 27. 25 Calculate the remainder when 38247 is divided by 153. 150 Calculate the remainder when 114910 is divided by 144. 142 What is the remainder when 2547415 is divided by 263? 260 Calculate the remainder when 35226 is divided by 132. 114 Calculate the remainder when 12925 is divided by 31. 29 Calculate the remainder when 152577 is divided by 7. 5 Calculate the remainder when 42916 is divided by 29. 25 Calculate the remainder when 124868 is divided by 5. 3 Calculate the remainder when 1338399 is divided by 97. 90 What is the remainder when 6120 is divided by 226? 18 What is the remainder when 5426 is divided by 151? 141 Calculate the remainder when 74079 is divided by 17. 10 Calculate the remainder when 4504 is divided by 621. 157 What is the remainder when 3685 is divided by 614? 1 What is the remainder when 13287 is divided by 13265? 22 Calculate the remainder when 6111 is divided by 16. 15 Calculate the remainder when 10714 is divided by 3565. 19 Calculate the remainder when 166 is divided by 145. 21 Calculate the remainder when 82992 is divided by 238. 168 What is the remainder when 20234 is divided by 9692? 850 What is the remainder when 3660 is divided by 419? 308 What is the remainder when 23176 is divided by 3308? 20 Calculate the remainder when 3279 is divided by 100. 79 Calculate the remainder when 132100 is divided by 96. 4 What is the remainder when 65998 is divided by 60? 58 Calculate the remainder when 15721 is divided by 326. 73 Calculate the remainder when 414 is divided by 57. 15 What is the remainder when 232619 is divided by 15? 14 Calculate the remainder when 8345 is divided by 596. 1 What is the remainder when 3530 is divided by 17? 11 What is the remainder when 16369 is divided by 1240? 249 What is the remainder when 14734 is divided by 17? 12 What is the remainder when 54428 is divided by 285? 278 What is the remainder when 1576077 is divided by 9? 6 Calculate the remainder when 2605432 is divided by 51. 46 What is the remainder when 20173 is divided by 16? 13 Calculate the remainder when 14824 is divided by 309. 301 What is the remainder when 8269 is divided by 637? 625 Calculate the remainder when 9305 is divided by 774. 17 What is the remainder when 1764 is divided by 442? 438 Calculate the remainder when 1281183 is divided by 1962. 1959 Calculate the remainder when 4959 is divided by 84. 3 Calculate the remainder when 1788 is divided by 1092. 696 Calculate the remainder when 90173 is divided by 60. 53 What is the remainder when 81918 is divided by 59? 26 Calculate the remainder when 53385 is divided by 10644. 165 Calculate the remainder when 92020 is divided by 46004. 12 What is the remainder when 864227 is divided by 4135? 12 Calculate the remainder when 22514 is divided by 16. 2 Calculate the remainder when 1086 is divided by 137. 127 What is the remainder when 26482 is divided by 12? 10 Calculate the remainder when 5910 is divided by 81. 78 What is the remainder when 3092 is divided by 1017? 41 What is the remainder when 12232 is divided by 119? 94 Calculate the remainder when 400726 is divided by 917. 914 What is the remainder when 22948 is divided by 1518? 178 What is the remainder when 75778 is divided by 110? 98 Calculate the remainder when 6555 is divided by 3255. 45 What is the remainder when 21270 is divided by 69? 18 Calculate the remainder when 35207 is divided by 291. 287 What is the remainder when 5595 is divided by 155? 15 Calculate the remainder when 8609 is divided by 4. 1 What is the remainder when 14375 is divided by 802? 741 What is the remainder when 11893 is divided by 28? 21 What is the remainder when 512 is divided by 128? 0 Calculate the remainder when 43419 is divided by 22. 13 What is the remainder when 149982 is divided by 208? 14 What is the remainder when 12503 is divided by 657? 20 What is the remainder when 37228 is divided by 189? 184 Calculate the remainder when 51453 is divided by 64. 61 What is the remainder when 98022 is divided by 39? 15 Calculate the remainder when 864 is divided by 82. 44 Calculate the remainder when 2270 is divided by 279. 38 What is the remainder when 5420 is divided by 67? 60 What is the remainder when 2734 is divided by 73? 33 What is the remainder when 414556 is divided by 136? 28 Calculate the remainder when 85888 is divided by 11. 0 What is the remainder when 12499 is divided by 125? 124 Calculate the remainder when 2332 is divided by 579. 16 Calculate the remainder when 127445 is divided by 89. 86 What is the remainder when 500189 is divided by 200? 189 What is the remainder when 1885 is divided by 917? 51 Calculate the remainder when 16557 is divided by 2056. 109 Calculate the remainder when 31104 is divided by 3104. 64 Calculate the remainder when 725689 is divided by 2. 1 Calculate the remainder when 44045 is divided by 124. 25 What is the remainder when 4348 is divided by 47? 24 Calculate the remainder when 133503 is divided by 133500. 3 Calculate the remainder when 5290 is divided by 45. 25 Calculate the remainder when 32443 is divided by 309. 307 Calculate the remainder when 2352 is divided by 2085. 267 What is the remainder when 20067 is divided by 527? 41 Calculate the remainder when 511127 is divided by 24. 23 Calculate the remainder when 4899 is divided by 45. 39 What is the remainder when 17012 is divided by 45? 2 Calculate the remainder when 196481 is divided by 286. 285 What is the remainder when 32072 is divided by 401? 393 Calculate the remainder when 105783 is divided by 136. 111 What is the remainder when 520673 is divided by 514? 505 What is the remainder when 3389 is divided by 660? 89 Calculate the remainder when 19063 is divided by 9292. 479 Calculate the remainder when 108908 is divided by 767. 761 Calculate the remainder when 73929 is divided by 12. 9 What is the remainder when 1539 is divided by 1448? 91 What is the remainder when 41189 is divided by 7? 1 What is the remainder when 18731 is divided by 226? 199 Calculate the remainder when 379911 is divided by 3114. 3 What is the remainder when 1592 is divided by 35? 17 What is the remainder when 43580 is divided by 8688? 140 Calculate the remainder when 797 is divided by 20. 17 What is the remainder when 2129885 is divided by 62? 61 What is the remainder when 9619 is divided by 72? 43 What is the remainder when 37064 is divided by 170? 4 Calculate the remainder when 31631 is divided by 8. 7 What is the remainder when 10478 is divided by 10476? 2 What is the remainder when 15511 is divided by 1550? 11 Calculate the remainder when 1140 is divided by 545. 50 Calculate the remainder when 11044 is divided by 47. 46 What is the remainder when 2908 is divided by 152? 20 Calculate the remainder when 484 is divided by 128. 100 Calculate the remainder when 228084 is divided by 57019. 8 Calculate the remainder when 13917 is divided by 1986. 15 What is the remainder when 28383 is divided by 267? 81 Calculate the remainder when 21568 is divided by 7187. 7 What is the remainder when 482427 is divided by 4873? 0 Calculate the remainder when 30793 is divided by 154. 147 Calculate the remainder when 10915 is divided by 232. 11 Calculate the remainder when 2671 is divided by 787. 310 Calculate the remainder when 14757 is divided by 4. 1 Calculate the remainder when 2252 is divided by 108. 92 Calculate the remainder when 993451 is divided by 601. 599 What is the remainder when 6033 is divided by 850? 83 Calculate the remainder when 3614 is divided by 1012. 578 Calculate the remainder when 32608 is divided by 323. 308 Calculate the remainder when 5256 is divided by 5027. 229 What is the remainder when 1397 is divided by 686? 25 Calculate the remainder when 15676 is divided by 5222. 10 Calculate the remainder when 69260 is divided by 37. 33 Calculate the remainder when 185913 is divided by 92942. 29 Calculate the remainder when 4627 is divided by 190. 67 What is the remainder when 10509 is divided by 320? 269 What is the re
{ "pile_set_name": "DM Mathematics" }
= 15889/1254 + -569/38. Let c = -289210/21 + 13775. Find the common denominator of t and c. 231 Let o = -13665821/132 + 103528. What is the common denominator of o and -89/638? 3828 Suppose -240 = -25*m + 5*m. What is the common denominator of -159*(-1*10/m + 1) and -33/140? 140 Let t(w) be the first derivative of -71*w**2/2 - 432*w - 225. What is the smallest common multiple of 40 and t(-7)? 520 Find the common denominator of 28/3 and 7780/660 + -2 + -8. 33 Let z(v) = 8*v**2 - v + 1. Let k(h) = h**3 + 29*h**2 + 28*h + 4. Suppose 21*w + 756 = -6*w. What is the smallest common multiple of k(w) and z(1)? 8 Suppose -6*g + 3*g + 5*x - 4679 = 0, 0 = -x - 2. Let p = g - -2603. Calculate the least common multiple of 22 and p. 11440 Let z(t) = 6*t**2 - 25*t - 138. Let f be z(-5). Suppose 2*x + 3*d = 107, 4*x - 3*d - 32 = f. Calculate the smallest common multiple of 24 and x. 552 Let u be -3 + 2 + 3 + 0/(-1). Suppose -7*h = -8*h - u. What is the least common multiple of 3 and (-3 - -5)*h*1/(-2)? 6 Let n(s) be the second derivative of 7*s**3/6 + 63*s**2/2 + 2*s + 8. Calculate the least common multiple of 8 and n(-8). 56 Suppose -2*a + m = -971, 0 = 6*a - 4*a - 3*m - 961. What is the smallest common multiple of 305 and a? 2440 Let q = 7285/1154729 + -96002392281/9053075360. Let t = q - 3/1568. Calculate the common denominator of -11/27 and t. 135 Find the common denominator of -7/11 and (-90)/(-87)*301/3268. 12122 Let a = 2374 + -2351. Let f be 546/12 - (-2)/(-4). Suppose i - 6*i = -f. Calculate the smallest common multiple of i and a. 207 Suppose -q = v + v - 26, 4*v = -5*q + 106. Suppose -10*f = -730 - 290. Calculate the smallest common multiple of f and q. 306 Let h = 26/39433 + -1222683/394330. Let x(a) = -25*a**3 + 3*a**2 + a. Let q be x(-2). Let y = q + -4231/20. Calculate the common denominator of h and y. 20 Suppose -q + 4*v = 1297, 4*q - 2*v - v + 5149 = 0. Let c = 41063/32 + q. Find the common denominator of c and -17/12. 96 Let u be (-2)/(-8) + (-4 - 9965/(-880)). Let a = u + -63/16. Find the common denominator of (-1111)/44*(-2)/3 and a. 66 Suppose 0 = -9*x + 42 + 120. Let a(w) = 2*w**2 - 30*w - 61. Calculate the lowest common multiple of a(x) and 5. 235 Suppose 2*h - 15 = -3*x, 140*h = 135*h - 2*x + 32. What is the least common multiple of h and 735? 1470 Let o(l) = 65*l - 390. Let x be o(6). Let u = 80 + -44. What is the common denominator of x + 702/220 - u/(-90) and -101/12? 132 Suppose 2*y - 4*d + 2*d - 10 = 0, 2 = 4*y + 5*d. Suppose -y*t - 99 = -6*t. What is the smallest common multiple of (10/(-8))/(2/(-48)) and t? 330 What is the common denominator of ((-358)/4)/((-264132)/(-5808)) + 2 and 10/203? 14007 Let g be 87/87 + 2835/(-2). Let s = 11259/8 + g. Calculate the common denominator of (-1)/((-6)/(-89))*-3 and s. 8 Let c(f) = 136*f**2 + 4*f + 7. Let m be c(-12). Let q = m + -18937165/969. Let x = q - -35821/15504. Find the common denominator of 119/10 and x. 80 Suppose g + 16 = -2*p - 0, -5*g - p = 44. What is the least common multiple of 46 and ((-34)/40 - (-24)/(-60))*g? 230 Let v = -202 - -327. Let r = v + 8. Let h = r - 113. Calculate the least common multiple of 4 and h. 20 Let r be (2 + 28/(-12))/((-2)/3804). Suppose r = l + g, -4*l - 5*g + 1075 = -1463. Find the common denominator of -31/33 and ((-6)/(-24))/(66/l). 33 Let z(s) = -26*s + 638. Calculate the lowest common multiple of 6 and z(16). 222 Let t be ((-9208456)/576)/((-4)/(-6)). Let s(x) = 23*x - 23982. Let j be s(0). Let r = j - t. Find the common denominator of 19/3 and r. 48 Suppose 2507 = 15*t + 17. Let x = t - 150. Calculate the least common multiple of 50 and x. 400 Calculate the common denominator of 9/10 and ((-6)/216)/((-438)/(-693) - (-70)/(-245)). 960 Let b = -7355 - -9419. What is the lowest common multiple of b and 18? 6192 Suppose 86*w = -122616 + 527504. What is the lowest common multiple of 749 and w? 32956 Let u = 56188141/1180 + -47617. Find the common denominator of u and 3/40. 2360 What is the common denominator of -73/110 and (-109)/(-1144) - (-224)/(-1232)? 5720 Let m(b) = -41*b**2 - 355*b + 21. What is the least common multiple of m(-8) and 632? 1896 Let t be (-2 - -2205)*134/36. Let z(y) = y**2 - 500*y - 48. Let g be z(-16). Let m = t - g. Calculate the common denominator of m and -25/8. 72 Let t = 13535 + -13529. Calculate the lowest common multiple of t and 8560. 25680 Suppose -l = 6*i - 66, -l = -2*i + 4 - 70. Calculate the least common multiple of 108 and l. 1188 Find the common denominator of -109/14 and ((-4)/(-2)*-1)/((-181440)/(-5022)). 560 Let n be ((-315)/42)/((-9)/(-6)). Calculate the smallest common multiple of 18*-4*n/10 and 126. 252 Let x = 337 - 1361/4. Let a be (1 - (-20)/(-22))*4/(-7). Let z = 57/385 - a. What is the common denominator of x and z? 20 Let l(r) = -2*r**2 + 76*r - 204. What is the least common multiple of 70 and l(31)? 1610 Calculate the smallest common multiple of 44 and -10*(66/8)/((-1845)/984). 44 Find the common denominator of -59/1650 and 11 + -303*5/135 + 152/1350. 14850 Let t be (-950)/(-14) - (-12)/(-84)*-1. What is the common denominator of -47/32 and (3 - 3)/(-2) + 833/t? 32 Let v(a) = -1270*a**3 - 2*a**2 + 2*a + 3. Let l be v(-1). Let k = l - 111665/88. Find the common denominator of 43/40 and k. 440 Suppose 0 = 3*n - 5*s - 66, n - 3*n + 2*s = -36. Calculate the smallest common multiple of 586 and n. 3516 Let u be ((-54)/2)/((-24)/(-24)). Let k = u + 34. Let y(b) = 3*b + 85. Calculate the lowest common multiple of k and y(-27). 28 Suppose d - 12 - 31 = 0. Suppose -2*n - u = -d, 0 = -2*n - u - u + 42. Calculate the least common multiple of (-15)/(-1)*56/35 and n. 264 Let k be (8/32100)/((-4)/(-2)). Let y = k - 264853/224700. Let f = -7354/11 - -670. What is the common denominator of y and f? 308 Let u(r) = -r**2 - 13*r - 8. Let a be u(-11). Let t be 21/a*20/3363. Let m = t + 72725/15694. What is the common denominator of 27/2 and m? 14 Let y be (66/(-55))/((-4)/(-5))*-22. Suppose -u - 13 + y = 0. What is the least common multiple of 464 and u? 2320 Calculate the common denominator of (-9 - 23731/(-3534)) + 3 and -31/2. 186 Suppose -20*b - 1 = -23*b + 5*c, -5*c + 2 = -4*b. Calculate the lowest common multiple of (-26)/(-208) - b/24*4271 and 20. 5340 Let u = 33472525/306 + -109387. Find the common denominator of u and 77/204. 612 Let y = -3647 - -32872/9. Find the common denominator of y and (268/60)/(27/15). 27 Let h = 149 - 109. Let s = 23 - 18. Calculate the smallest common multiple of h and s. 40 Let p = -101 - -13. Let v = 94 + p. Let f(b) = b + 5. Calculate the smallest common multiple of f(v) and 5. 55 Calculate the common denominator of 82/6525 and (-19)/76*5 - (0 - 40052/32400). 58725 Let m be 3/(-78)*(-52085)/165. Let b = -31885/13 - -2451. Let q = b - m. What is the common denominator of -77/54 and q? 54 Suppose -2*r + t = 5555, 2*t = 5*r - 2*t + 13880. Let v = r - -58462/21. Find the common denominator of v and (-1)/27 - 2 - 0. 189 What is the common denominator of 26600/77616 - (-2)/28 and 101/1540? 13860 Let l = 498325549/280420 + -62197/35. Calculate the common denominator of l and 23/4. 8012 Let q = -220 - -176. What is the common denominator of (2466/(-12))/(-1 + -17) and ((-30)/(-9))/(q/(-12))? 132 Let q(i) = 4*i + 56. Let v be q(-12). What is the common denominator of 302/12 + 2 - 2 and (230/v + -1)/((-35)/14)? 30 Let f be ((-1848)/(-105870))/7*(-13138)/148. Let w = 20/3529 - f. Find the common denominator of 67/45 and w. 1665 Let j = -10 + 29/2. Let r = -46/641 + 57055/17948. What is the common denominator of r and j? 28 Let r be 2/8 + 254/8. Suppose -r*a + 1112 = -30*a. What is the common denominator of 31/40 and (-3 - a/24) + -1 + 2? 120 Suppose 14*i = -23 + 65. Suppose m - 4*a + 13 = 65, 0 = -i*m + 4*a + 124. Calculate the smallest common multiple of m and 18. 36 Suppose x = 2*x - 177. Let n = 1179121/170890 - -2/17089. What is the common denominator of n and 1*(x/(-12) + 3)? 20 Suppose -5*q + z - 3*z = 35, -15 = 3*z. Calculate the lowest common multiple of 100 and (-3 + 9 + 0)*(-4 - q). 300 Let g = 575 - 996. Let d = -238 + g. Let o = 3258/5 + d. What is the common denominator of -19/10 and o? 10 Suppose -l - 386 = -q, 2*q + 162*l - 165*l = 774. What is the smallest common multi
{ "pile_set_name": "DM Mathematics" }
) 1/3 (b) 973046/5 (c) -2 (d) 0.3 b What is the third biggest value in 18, 47.8, -5, 55.8? 18 What is the third smallest value in 1/4, 59651, -74.6? 59651 Which is the fifth smallest value? (a) 5/4 (b) 1/5 (c) -2/3 (d) -3029 (e) 116 e Which is the second smallest value? (a) -0.04 (b) 4 (c) -0.1 (d) -5 (e) -15.1 (f) -1 d Which is the fifth smallest value? (a) 87/143 (b) 0 (c) 2.4 (d) -7 (e) 0.5 c What is the smallest value in 1/2, 6526328, 55? 1/2 What is the biggest value in 2/7, 6858, 1/6, -146/3, 2/3, 0.2? 6858 Which is the third biggest value? (a) 0.3 (b) 37742 (c) 0.03 c Which is the biggest value? (a) 1 (b) -1/150 (c) -2/1235 (d) -834 a Which is the biggest value? (a) 2/17 (b) 212962/61 (c) 3 (d) -3 (e) -2/19 (f) -2 b Which is the smallest value? (a) 0.3 (b) -1 (c) 163321 (d) 139 b What is the second smallest value in 5, 3/4, -0.4, -4, 43, -11, -12838? -11 What is the smallest value in 0.2, 5.1, 4/22807, 0.4, 4? 4/22807 Which is the second smallest value? (a) -1489 (b) -994 (c) -2/9 b What is the seventh biggest value in 3, 2.4, -2, 0, 0.4, -3, -1/74? -3 Which is the second smallest value? (a) 1 (b) -3.9 (c) 3 (d) 0.2 (e) -0.1 (f) 6/5 e What is the second smallest value in -2/3, -21, -0.3, 1689, 2/3, -1? -1 Which is the third biggest value? (a) -0.12 (b) -3/8 (c) -15187 c What is the third biggest value in 2/11, -1.1, 0.05, 97, -5, -0.8? 0.05 Which is the fourth biggest value? (a) -19 (b) -8/5 (c) -2/9 (d) -24 (e) -0.4 (f) 0.1 (g) -2 b Which is the fifth biggest value? (a) -9 (b) -1 (c) 2/31 (d) 0.1 (e) 0.01 (f) 6 b Which is the fourth smallest value? (a) -3451 (b) -3 (c) -14 (d) -5/23 d What is the biggest value in -1/4, 1001.1, 3.5? 1001.1 What is the smallest value in 1/4, -0.4, 0.954, 15, -511? -511 What is the second biggest value in 107, -25, -1, 0.218? 0.218 Which is the biggest value? (a) -1/5 (b) 1/3 (c) -39 (d) -175989 b Which is the fourth smallest value? (a) -4 (b) -347 (c) 0.77 (d) 0.001 (e) 5 c Which is the third smallest value? (a) -20 (b) -2 (c) -6/9293 (d) 0.5 c Which is the smallest value? (a) -2.3 (b) 1.9 (c) 2/442255 a Which is the biggest value? (a) 1/12 (b) 17452 (c) 17 (d) -2 b What is the fifth smallest value in -1, -1/5, -2/15, -111/38, 1/3, 4, 21? 1/3 Which is the second biggest value? (a) -0.3 (b) 0.18 (c) -18/13 (d) 0.4 (e) -5 (f) 6 (g) -246 d Which is the fifth biggest value? (a) -0.083 (b) -0.36 (c) 0.03 (d) -2/5 (e) 1/8 (f) 2 (g) -2 b Which is the second smallest value? (a) -2 (b) -4 (c) -8 (d) 0.4 (e) 1.414 (f) 3/61 (g) -1/7 b Which is the third smallest value? (a) -0.2 (b) 1/4 (c) -2 (d) 4466378 b What is the third biggest value in -2/13, -3, 100.7, 1450, 0.2, 2? 2 What is the third biggest value in -14/109, -8, -5, -30, -6? -6 What is the second biggest value in 3, -0.06, -3/16, -4, 46, 1/3? 3 Which is the third smallest value? (a) 8 (b) 1 (c) -6 (d) -3/14 (e) -535 (f) 5 d Which is the second biggest value? (a) -0.4 (b) -3/26 (c) 438.146 b What is the third biggest value in -56496, 421, 3? -56496 Which is the third smallest value? (a) -14/367 (b) -0.0918 (c) 1 (d) -41/4 a Which is the fourth biggest value? (a) 4/5 (b) 32 (c) -0.4 (d) 8 (e) -1 (f) 6.1 (g) -1.1 a What is the fifth smallest value in 0.2, -5, -1, -1/2, 0.029, 0.1, 677? 0.1 Which is the third biggest value? (a) -0.4 (b) 166671 (c) -2/61 a What is the fourth smallest value in -77, -4/7, -2/9, 1, 4? 1 What is the smallest value in 0, -6, 3/8, 0.011, -168, 10, -0.02? -168 Which is the second smallest value? (a) -64895 (b) 2/5 (c) -8/7 c Which is the second biggest value? (a) 29 (b) 4 (c) 154 (d) -217 a Which is the third smallest value? (a) -6763 (b) 342 (c) 2 b Which is the second biggest value? (a) -2/5 (b) 0 (c) 289 (d) 0.3 (e) -17/6 (f) -24 d Which is the biggest value? (a) -2 (b) 51 (c) -2/1347 b What is the biggest value in -3, -0.1595, 3397/4, -1/6? 3397/4 Which is the fifth biggest value? (a) -3/4 (b) -4 (c) 0.537 (d) -5 (e) -7.5 (f) -0.2 d Which is the third smallest value? (a) -2/3 (b) 3/5 (c) 3472 (d) 0 (e) 0.3 e What is the smallest value in 111, 2/3, -3, 1, -0.4, -11/4, 15? -3 What is the fourth biggest value in -2/11, -6735, -3/4, 1/7, 0.19? -3/4 Which is the fourth smallest value? (a) -0.041 (b) 4.256 (c) -0.1 (d) -3 b Which is the fourth biggest value? (a) 4/5 (b) 0 (c) 2 (d) 68/7 (e) 3 (f) -36 a Which is the smallest value? (a) -5/3 (b) -0.104 (c) 69/14 (d) 5 (e) 0.4 (f) 26 a What is the third smallest value in 0, 3/1088, -6/23, 4? 3/1088 What is the biggest value in 15, 6.6, 2, -1/6, -3/2, -2? 15 Which is the seventh biggest value? (a) -3/8 (b) 0 (c) 2/3 (d) -2/9 (e) -0.1 (f) 18 (g) 2/15 a Which is the third biggest value? (a) 2/273 (b) 34.1 (c) -0.618 c What is the third biggest value in -0.47008, -2/13, 0.1, 0.0025? -2/13 Which is the fifth smallest value? (a) -1/3 (b) 3/8 (c) -463 (d) -6 (e) -1 (f) -1.1 (g) -2/25 a Which is the third smallest value? (a) -0.5 (b) 56632 (c) 11 (d) 5 c Which is the second biggest value? (a) -2/37 (b) 2/7 (c) 5 (d) -2/19 (e) 0.3 (f) -2/7 (g) 4 g What is the biggest value in 1/6, -4.429, -1/6, 3/2, 1? 3/2 Which is the second biggest value? (a) -373 (b) -2062 (c) -1 a Which is the second smallest value? (a) -2.4987279 (b) -14 (c) 4/5 a What is the fourth biggest value in 5/212, 2, -0.2, 0, -0.3, -61? -0.2 Which is the smallest value? (a) -4 (b) -5 (c) -0.2 (d) -5.98 (e) 0.19 (f) -16 f Which is the third biggest value? (a) -5032 (b) 979 (c) -4 (d) -1/2 c Which is the smallest value? (a) -6 (b) -0.03 (c) -1726 (d) 0 c Which is the second biggest value? (a) 2 (b) -0.51 (c) 0.9 (d) 4 (e) 67.7 d Which is the fifth biggest value? (a) 6223 (b) 2/103 (c) -4 (d) 2/13 (e) -6 e What is the third smallest value in 1/8, -0.2161, 0.2044? 0.2044 Which is the smallest value? (a) 2151 (b) -49 (c) -25 b What is the third smallest value in -1.9231, 0.3, -0.5, -2/105, -0.1, -1, 2/7? -0.5 What is the second biggest value in 0, 225, 1600? 225 What is the smallest value in 41101, -66, -32/5? -66 Which is the second smallest value? (a) 0.3 (b) -51756/5 (c) -2.75 c What is the second smallest value in 2/9, -8, 44978, -4, 0.1? -4 What is the fourth smallest value in 3.6, -0.1, -161404, 3? 3.6 Which is the third biggest value? (a) -4 (b) -8480 (c) -20 (d) 1.6 c Which is the fifth smallest value? (a) 5 (b) 79 (c) -12 (d) -13 (e) -1 (f) -1/10 a Which is the third biggest value? (a) -2/9 (b) 0.028212 (c) 3.4 (d) -1/12 d What is the fourth biggest value in -3213, -17, 2/7, 1/3, 2? -17 Which is the third biggest value? (a) -9 (b) -2 (c) 4/17 (d) 2023 (e) -1 e What is the third smallest value in 1, -2/7, -81, 0.035, -1/6, -3, 0.064? -2/7 What is the fifth smallest value in 2, -3, 439, 7, -7? 439 What is the smallest value in 6530, -693, -4? -693 Which is the fifth biggest value? (a) 0 (b) -3 (c) 0.3 (d) 0.16 (e) 866 (f) 2 a What is the third biggest value in 22/47, -41.46, 23? -41.46 Which is the smallest value? (a) 1149459 (b) 3/7 (c) 8/7 b Which is the second smallest value? (a) -11/24259 (b) 3/10 (c) 4 b Which is the fifth smallest value? (a) -32 (b) -0.26 (c) -1/3 (d) 2/2253 (e) -4 d Which is the smallest value? (a) 0.4 (b) 6 (c) 50.63 (d) -3 (e) -6 (f) 4 (g) -0.3 e Which is the sixth smallest value? (a) 26 (b) -0.01 (c) -5 (d) -0.002 (e) -3 (f) -0.1 (g) 2 g What is the biggest value in -3, 44/7, 23, -0.0922? 23 Which is the fifth biggest value? (a) 7 (b) 1 (c) 3 (d) 0.2 (e) 55/361 (f) 0.01 e What is the third smallest value in -2/9, 2/19, -32832116? 2/19 Which is the sixth smallest value? (a) 31 (b) 1/8 (c) -2/63 (d) -2/11 (e) 2 (f) 0.051 a Which is the smallest value? (a) -0.6 (b) -0.4 (c) 1 (d) 0.2 (e) -6/5 (f) 495 e What is the smallest value in -3, 2, 0.01, -8.4, -0.1, -1, 3? -8.4 Which is the third biggest value? (a) -10 (b) 3/4 (c) -4973 (d) -19 d What is the second smallest value in 4, 0.6, 1/4, -47.2, 0, -0.3? -0.3 Which is the third biggest value? (a) 3 (b) -1.15 (c) -1/7 (d) -7.6 (e) 4 (f) -75 c
{ "pile_set_name": "DM Mathematics" }
usand? 50000 Let r be -2 + 15 + -7 + -74906. Round r to the nearest 10000. -70000 Let l = -51 - -91. Let k = l - 5. Let b = k - 41.4. What is b rounded to the nearest integer? -6 Suppose 5*o = 0, -b = 3*b - 2*o - 6068164. Suppose -b + 357041 = 5*d. What is d rounded to the nearest 10000? -230000 Let r = -24 + 22.1. Let n = 23749.09968 - 23751. Let i = r - n. What is i rounded to 4 decimal places? 0.0003 Let n be 4/8 + -1 - 2177/(-2). Suppose 0 = 2*u + 4432 + n. Round u to the nearest 100. -2800 Suppose 4*g + 4*a - 5126 = 2*g, -3*g + 2*a = -7705. Let d = 38099 + g. Suppose 4*c + 4 = 0, 2*x - 206667 = c - d. Round x to the nearest ten thousand. 80000 Let u = -0.34 + 2.29. Let z = -1.9500209 + u. Round z to six decimal places. -0.000021 Let x = -1605.8619 - -1606. Round x to 2 dps. 0.14 Suppose 0 = -5*n + 15, 3*x + 3*n - 4*n = 6. Suppose -x*u - 2*o + 9690008 = 0, 2*o + 6460016 = 2*u + 6*o. What is u rounded to the nearest 100000? 3200000 Let y(n) be the second derivative of -n**5/20 + n**4/3 + 3*n. Let p be y(4). Suppose p*j - 3*j = 291000. What is j rounded to the nearest 10000? -100000 Suppose -5*i + t + 216555 = -151712, 3*i + 5*t - 220949 = 0. Let m = -85347 - i. Round m to the nearest ten thousand. -160000 Let p = 2679311682 + -2679311469.2999081. Let g = -212.7 + p. What is g rounded to five dps? 0.00009 Let y = 1.06502 - 1.4650248. Let v = -25 + 25.4. Let b = v + y. Round b to 6 dps. -0.000005 Suppose 35612 = 55*f + 12677. What is f rounded to the nearest one hundred? 400 Let d = -402 + 1167. Let j = d - 315. Round j to the nearest one hundred. 500 Suppose 4*z = -2*j + 3840000, -5760000 = 9*j - 12*j - 2*z. Round j to the nearest 1000000. 2000000 Suppose 2*t - 2 = 2*c - 10, 0 = c - 4*t - 10. Suppose c*p = -10, -2*o + 5*o - 2*p - 37 = 0. Suppose 0 = 5*k - o*k + 7600000. Round k to the nearest one million. 2000000 Let l = -790.369 - -791. What is l rounded to two decimal places? 0.63 Let n = 94.0495911 - 94.05. Round n to five dps. -0.00041 Suppose 4*a + 4*a + 16160 = 0. What is a rounded to the nearest one hundred? -2000 Let o = 0.37 + -0.3699965. What is o rounded to seven dps? 0.0000035 Let p = 818.00000563 + -818. Round p to seven decimal places. 0.0000056 Let p = 2 + -6. Let v = p + 4.000308. What is v rounded to five dps? 0.00031 Suppose -3*a = 2*w - 2331008, -5*w = 3*a - 2*a - 777020. What is a rounded to the nearest 10000? 780000 Let u be (315/(-28))/15 + (-117914)/8. Round u to the nearest 1000. -15000 Let m = 27.8 + -140.8. Let f = 113.000149 + m. Round f to five decimal places. 0.00015 Suppose 5*n = -10, b + 3*b - 3*n - 37270 = 0. Let a = -20816 + b. Round a to the nearest one thousand. -12000 Let f = 3.29 - 0.25. Let g = 3.039757 - f. What is g rounded to 5 decimal places? -0.00024 Let r = 17 - -140. Let b = 156.9999821 - r. What is b rounded to 6 dps? -0.000018 Let z = 2121 + -2121.0005657. Round z to 5 decimal places. -0.00057 Let f(g) = 18*g + 9. Let s(n) = -91*n - 44. Suppose -r = -c + 13, 2*c = -4*r - c - 38. Let d(o) = r*f(o) - 2*s(o). Let i be d(-5). Round i to the nearest ten. 70 Let h = -270 - -269.99999696. What is h rounded to 7 decimal places? -0.000003 Suppose 2*c = -2*v - 0*v + 24, 4*c - 48 = -v. Let a be 1658/c + (-4)/24. What is a rounded to the nearest ten? 140 Let n(i) = 4386457*i + 27. Let j be n(-6). Let k = 10718715 + j. Round k to the nearest 1000000. -16000000 Let j = 45 + -41. Suppose -w - j*l = 210012, 2*w = -3*l - l - 420012. Round w to the nearest 10000. -210000 Let h = 9012646 + -9024661.9975. Let a = 12029 + h. Let c = a - 13. Round c to 3 dps. 0.003 Let t(g) = 57*g + 5483. Let n be t(0). Round n to the nearest one hundred. 5500 Let x = -6 + 23. Let g = -16.825 + x. Round g to two dps. 0.18 Let y = -3345 + 3345.06564. Let h = 0.064 - y. Round h to 4 decimal places. -0.0016 Let y = -87.88 + 97. Let z = 9 - y. Let u = z - -1.32. What is u rounded to 0 dps? 1 Let k = 0.1006 - 0.08. Let j = 0.011 - k. What is j rounded to 3 decimal places? -0.01 Suppose -4*c - 114286 = 3*i, 2*i = 11 - 15. Round c to the nearest 10000. -30000 Let s = -73028 - -36374. Let c = -36596.098 - s. Let b = -58 + c. What is b rounded to 2 dps? -0.1 Let n = 13161319 - 24021319. What is n rounded to the nearest one hundred thousand? -10900000 Let j = 0.08281 - 0.042827. Let y = -8 + 8.04. Let t = y - j. Round t to five decimal places. 0.00002 Suppose 3*i + 3*n - 23682 - 30093 = 0, 0 = 5*n + 5. Suppose -5*o + 5*s - 10579 = i, 0 = 3*o - 4*s + 17104. Round o to the nearest 1000. -6000 Suppose -g + 0*g + 5 = m, 4*g - m = -5. Suppose 6*j - 5*j = g. What is j rounded to seven dps? 0 Let h = -538.26 + 546. Round h to one dp. 7.7 Let g = 278.99999589 - 279. Round g to 6 dps. -0.000004 Let k = 1419866 - 822166. Round k to the nearest ten thousand. 600000 Let b(q) = -90000*q**3 + 2*q - 2. Let h = -36 + 37. Let o be b(h). What is o rounded to the nearest ten thousand? -90000 Let k = -176528523 + -112071477. What is k rounded to the nearest one million? -289000000 Let u = 0.84 - 0.8. Let v = -0.12 - u. Let o = v + 0.36. Round o to the nearest integer. 0 Let v = -0.86 - -0.55. Let m = 295 - 295.3264. Let c = v - m. Round c to three decimal places. 0.016 Suppose 1450060 = 18*i - 14*i. Suppose -1178689 - 2511367 = -4*n - 2*g, -5*n - g + 4612573 = 0. Suppose i - n = p. Round p to the nearest 100000. -600000 Let f = -273.1 + 271.793. Let u = -0.307 + 0.28. Let q = u - f. What is q rounded to one dp? 1.3 Let g = -46 - -5. Let d = -40.9999722 - g. What is d rounded to 6 decimal places? 0.000028 Let h = 3.3949990676 + -3.395. Round h to 7 decimal places. -0.0000009 Let y = -10 + 25. Let n = 13.8 - y. Let o = -1.1 - n. Round o to two decimal places. 0.1 Let x = 980 - 949.72. Let i = 10 + 21. Let y = i - x. Round y to one decimal place. 0.7 Let r = 621324 + -217847. Let w = -403464.00085 + r. Let i = w - 13. Round i to four decimal places. -0.0009 Let t = 37 + -41. Let d = 75481939 + -75481942.9999933. Let w = t - d. What is w rounded to 6 decimal places? -0.000007 Let l = -2450.994382 + 2451. Let m = l - 0.0048. What is m rounded to 4 decimal places? 0.0008 Let d be (416/130)/((-2)/405000). Round d to the nearest one hundred thousand. -600000 Let p = -5.05 - -5.915. What is p rounded to 1 dp? 0.9 Let p = -1749.999994842 + 1750. Round p to 7 decimal places. 0.0000052 Let x = -1 - -5. Let h(i) = 302*i**2 + 6*i - 2. Let m be h(x). Suppose 0 = 3*a - 64854 + m. Round a to the nearest 10000. 20000 Suppose 0 = -2*f - 2*u - 4, 0 = -5*f + 2*f - u - 2. Suppose f = -7*j + 21459 + 10251. Round j to the nearest 100. 4500 Let a be (12/8 + -2)*4772. Let p = a + 4246. Let l = 1200 - p. What is l rounded to the nearest one hundred? -700 Let a = 0.0455586 - 0.04448. What is a rounded to 5 dps? 0.00108 Let s = -3645094.13895454707211 - 3.82104559292789. Let f = -3645098 - s. Let m = -0.04 - f. Round m to seven decimal places. -0.0000001 Let o = 0.0152 + -0.0104. Round o to two dps. 0 Let y = 0.742294 - 0.741. What is y rounded to 4 decimal places? 0.0013 Let j = 7596529.000002 - 7596512. Let w = j + -17. Round w to five decimal places. 0 Let v = -0.65877825 + -435.33705175. Let t = v - -436. What is t rounded to 3 decimal places? 0.004 Let i(p) = -p**2 + 5. Let h be i(3). Let n be 4480005/h - (-95)/76. Round n to the nearest 100000. -1100000 Let k = 2530.02316 - 2530. Round k to three dps. 0.023 Let a = -0.205 - -108.205. Let i = a + -107.856. What is i rounded to 2 decimal places? 0.14 Let g = 20.5 - -6.5. Let y = -27.48 + g. Round y to one dp. -0.5 Let a = -0.18 + -17.82. Let w = -18.00051 - a. Round w to four dps. -0.0005 Let l = -0.4665 + -0.2571. Round l to 2 decimal places. -0.72 Let y = -0.14588 - 1.75442. Let q = 458 - 456.1. Let b = q + y. What is b rounded to three decimal places? 0 Suppose 6*n = 4*i + 3*n - 296000015, 2*i - 148000015 = 3*n. What is i rounded to the nearest 1000000? 74000000 Let n = 9.32 - -0.06. Round n to the nearest integer. 9 Suppose n + d + 3420 = 0, -4*n + 7*d = 2*d + 13725. Round n to the nearest 100. -3400 Let k = 7.53 + -7.52998757. What is k rounded to 5 dps? 0.00001 Let f = 190.7998896 + -190.8. Round f to 4 decimal places. -0.0001 Let u = 0.77 + 59.23. Let x = -30 + u. Let c = x + -30.84. Round c to one dp. -0.8 Let k = 57.5 - 397
{ "pile_set_name": "DM Mathematics" }
-5 Solve -4*g + 5*m - 15 = 0, m = 5*g - 26 + 50 for g. -5 Solve y + 2 = -5*a - 5, y = -2*a - 1 for y. 3 Solve -20*f + 12 = -o - 17*f, 5*o + 3*f = 30 for o. 3 Solve 4*h + 24 + 6 = 2*r, -5*h = r + 27 for r. 3 Solve c - 5*y + 10 + 11 = 0, -2*c - 4*y + 14 = 0 for c. -1 Solve -3*p + 5*o = -0 - 2, 2*p + 6 = -4*o for p. -1 Solve 0 = -4*y + 4*p + 14 - 2, 3 = 3*p for y. 4 Solve s = w, 3*w - 8*w + 9 = 4*s for w. 1 Solve 0 = -5*j + y - 6, 8 = 4*y - 6*y for j. -2 Solve 0 = -2*b - u - 3, 15 = -4*u + u for b. 1 Solve -5*y = 2*l - 23, -5*y - 4*l - l + 20 = 0 for y. 5 Solve -t + 19*j + 9 = 24*j, -8 = -t - 4*j for t. 4 Solve 0 = -g - 2*m - 0 - 1, 4*g + 4 = -4*m for g. -1 Solve -4*x + 5*y + 5 = 0, -4 = 4*x - 2*y + 6*y for x. 0 Solve 12 + 3 = 3*y + 3*v, -y = -4*v + 5 for y. 3 Solve -2*p + 9 = y - 6*p, 2*y - 9 = 5*p for y. -3 Solve -5*a + 6*y - y - 5 = 0, -5*a + 3*y - 3 = 0 for a. 0 Solve 2*f - 2*h = 6, -f - 3*h = -0*h + 13 for f. -1 Solve 3*h + 9 = -d, -5 = h - 0*d + d for h. -2 Solve 5*m - k - 3 = 0, m + 4*k = -2 + 11 for m. 1 Solve -j - 5*g = -26, 7*g = -3*j + 5*g + 13 for j. 1 Solve 2*f = 6*r - 8*r + 18, 3*r - 37 = -5*f for f. 5 Solve -q - 4 + 1 = -o, -5*o - 21 = 4*q for q. -4 Solve 4*g = -2*c - 12, c - 2*g - 6 = -4 for c. -2 Solve 13 = -4*a + i, 50*a - 16 = 51*a + 4*i for a. -4 Solve 0 = 2*v + 5*k - 0*k + 12, k = -v for v. 4 Solve -19 = 3*p - 5*w, 5*p + 7*w + 5 = 10*w for p. 2 Solve 2*u + 311*v = 316*v, 4*u = 3*v - 14 for u. -5 Solve -2*v - 3*n = -6*n - 8, 2*v + 5*n + 24 = 0 for v. -2 Solve -2*t + 2*v - 4*v - 4 = 0, -v + 3 = -4*t for t. -1 Solve -p + y + 3 = 10, 2*p + 4*y = 16 for p. -2 Solve 9*w = 6*w + 5*a + 3, -4*a = 3*w + 24 for w. -4 Solve -2*q = -6*k - 26, -4 = -7*q + 3*q for k. -4 Solve 4*w - 5*v - 18 = -3*v, -3*v = -4*w + 21 for w. 3 Solve 0 = -q - 4*s + 15, 0 = 5*q + 8*s - 5*s - 7 for q. -1 Solve -12 = -2*g - 2*j + 6*j, 4*g + 2*j - 14 = 0 for g. 4 Solve 5*a + 20 = -2*s, 4*a + 5*s = 3*s - 18 for a. -2 Solve -t = -2*q, 8*q = 4*q - 5*t for q. 0 Solve -3*o + 2 = -4*o, -3*k = 5*o - 5 for k. 5 Solve 0 = j - 3*o - o - 25, 5*j - 4*o - 45 = 0 for j. 5 Solve -10 = -5*g + v, -5*g = 4*v - 0*v + 15 for g. 1 Solve -8*p - 33*k - 46 = -30*k, -5*p - 3*k = 31 for p. -5 Solve 3*y - 15 = -d - y, 4*y = 4*d for d. 3 Solve 2*a - 6 = 5*o + 25, 21 = -3*o + 2*a for o. -5 Solve -6*j - 2*a + 20 = -8*j, 4*a = -4*j for j. -5 Solve -v - 2*i + 0*i = 1, -5*v - 3*i = -16 for v. 5 Solve -4*o = -3*z, -3*o + 2*o - 2*z = -11 for o. 3 Solve 0 = 3*l - 4*k + 15, 5*l + 13 = -5*k - 12 for l. -5 Solve 18 = 2*l - 16*c + 21*c, 0 = -l - 2*c + 7 for l. -1 Solve 3*v = 255 - 243, 2*m - 3*v = -16 for m. -2 Solve 4*r + r + 30 = -2*a, 2*a = 3*r + 2 for r. -4 Solve 16*y + 3 = r + 17*y, 0 = -3*y - 6 for r. 5 Solve 3*j + 9 = 2*o, 2*o - 2*j = -4 + 10 for o. 0 Solve 0 = -4*b - 5*y - 26, 2*y + 8 - 4 = 0 for b. -4 Solve 25 = -v - 5*o, 5*v + 23*o = 21*o - 33 for v. -5 Solve 3*g = -0*g + 12, 0 = 4*p + 3*g - 12 for p. 0 Solve 117*v - 112*v + 3*t = 8, 2 = 5*v - 3*t for v. 1 Solve 3*b = 2*l + 12, 0 = 7*b - 10*b - 3*l + 12 for b. 4 Solve 0 = -3*n - v - 12, 0*n = -4*n - 3*v - 21 for n. -3 Solve -6*y = 3*s - 51, 3*s - 7 - 9 = -y for y. 7 Solve -3*x + 9 = b, -3*x + 0 = 3*b - 3 for b. -3 Solve -9 = 3*c, -13 = 2*d - 3*c + 4*c for d. -5 Solve 0 = -2*v - 3*j, -3*j + 2 = 3*v + 5 for v. -3 Solve n - 3*c + 4*c = 6, -2*n = 3*c - 13 for n. 5 Solve -5*z - d + 18 = 0, 4*d - 2 = -3*z - d for z. 4 Solve 5*a + o - 9 = -2*o, 4 = 4*a + 4*o for a. 3 Solve 2*l = -5*f + 11, 30*l = 25*l - 5*f + 5 for l. -2 Solve -5*z - 4*u + 54 - 57 = 0, -10 = -2*z + 4*u for z. 1 Solve g + 14 + 4 = 4*y, 4*g + 4*y - 28 = 0 for g. 2 Solve 8*a - 9*a - 8 = 2*o, 3*a + 6 = 0 for o. -3 Solve 5*w = -l + 17, 43*l + 2*w - 2 = 41*l for l. -3 Solve 0*k + 2*k - 2 = 2*m, -5*k + 4*m + 9 = 0 for k. 5 Solve -2*c + 4 = 0, 2*y = -4*c + 9*c - 8 for y. 1 Solve -2*a - c = 16 - 8, 0 = -4*a + c - 22 for a. -5 Solve 4*f - 4*v = -0*v + 24, -f = v - 4 for f. 5 Solve 4*f - 30 = -5*o + 2, 3*f + 11 = 5*o for f. 3 Solve 0 = -3*p + x + 12, -p - 2 = -x - 6 for p. 4 Solve -2*f - 2*r = 18, 8*f = 3*f + 5*r - 5 for f. -5 Solve -5*c - s - 5 = 4*s, -2*s = -c + 5 for c. 1 Solve 0 = 2*r + 4*x - 28, -r - 3*x - 4 + 23 = 0 for r. 4 Solve 0 = t - 4*z + 9, -3*t + 27 = 2*t + 4*z for t. 3 Solve 2*y = s + 4*y, s - 4*y = 0 for s. 0 Solve 4*x + 61 - 20 = 5*o, 4*o - 36 = 4*x for x. -4 Solve 2*u = -l - 8, 31 = -4*l - 5*u + 8 for l. -2 Solve -35 = -3*d - 2*z - 55, -4*d + 3*z - 4 = 0 for d. -4 Solve -3*n = -2*q + 15, -8*q = -5*q - 5*n - 25 for q. 0 Solve -16 = y + 3*y, -4*y = 2*r + 14 for r. 1 Solve 0 = -4*n - 12, 3*l + 4*n = -204 + 180 for l. -4 Solve -4*p - 5*j - 42 = -61, j = 3*p + 19 for p. -4 Solve 23*o - 16 = 19*o - 4*c, -3*c = 3 for o. 5 Solve 0 = 2*m - 3*l - 6, l + 6 = 4 for m. 0 Solve 10*y - 8*y + 2 = -5*k, k = -3*y + 10 for k. -2 Solve 0 = p + 4*k - 21, -4 = p - 2*k - 1 for p. 5 Solve -2*k + 2*x = -14, 4*k - 6 = -2*x + 4 for k. 4 Solve -21 = -2*s + 5*k + 10, -21 = -2*s + 3*k for s. 3 Solve 12 = -3*n, -3*g = 26*n - 30*n - 31 for g. 5 Solve -f - 8 = -5*q + 3*q, -3*f = -2*q + 8 for f. 0 Solve -z - 3*f + 11 = 3*z, -5*f + 22 = 3*z for z. -1 Solve -5*s + 7 = 3*q, -37 = 2*q - 11*s + 6*s for q. -6 Solve -j + 3 - 2 = 0, -3*j + 23 = -4*k for k. -5 Solve 5*g + 5*j = 30, 3*j - 23 = 7*g - 11*g for g. 5 Solve 4*j = -5*h - 6, -5*j + 5*h - 64 = -34 for j. -4 Solve 0 = -7*b + 5*b - d - 5, 0 = 3*b + 3*d + 6 for b. -3 Solve 3*b - 3*i - 3 = 0, 170*i - 25 = 5*b + 171*i for b. -4 Solve 3*d - 5*h - 3 = -2*h, 2*d = 5*h + 5 for d. 0 Solve 0 = -0*w + w - 4*z + 9, 5*w = z - 7 for w. -1 Solve 3*y + 3 = 3*l, -7 = 5*l - y - 8 for l. 0 Solve -b + 6 = f, 2*f + 10*b - 7*b - 16 = 0 for f. 2 Solve 6*o - 6 = 2*o - 3*s, -2*o = -3*s + 6 for o. 0 Solve -3*k + 15 = 2*p, -3*p + 4*k = 2*p + 20 for p. 0 Solve 5*g - 29 = 2*p, 60 = -4*p + 3*g + 37 for p. -2 Solve 4*l - 2 = -i - 0*i, l - 1 = 0 for i. -2 Solve 3 = -2*o - c, -5 = 5*o + 5*c - 0*c for o. -2 Solve -4*g = -4*o, 2*g + 2*g + 3*o + 14 = 0 for g. -2 Solve 7 = -2*s - 3*s + 2*u, 5*s - 5*u = -10 for s. -1 Solve -8*j = 5*g - 4*j - 37, 21 = 3*g + 2*j for g. 5 Solve 4*i + 32 = 3*c, 0 = 4*i + 3*c - 2 + 10 for i. -5 Solve -3*v + 5*g = -2, -2*g + 5*g + 6 = -3*v for v. -1 Solve 14 = i + 12, -3*s - 7 = -5*i for s. 1 Solve 0 = -4*b + 4*m + 8, 15*b = 17*b + 4*m + 14 for b. -1 Solve h = 5*q - 13, h + 9 = 3*q - 0*h for q. 2 Solve 5*r - 5*w + 53 = 3, 3*w = -4*r + 9 for r. -3 Solve -z - 13 = -2*p + 4*z, 0 = 4*p + 2*z + 10 for p. -1 Solve d - 4*h = 24, d - 2*h + 3*h + 1 = 0 for d. 4 Solve -58 + 70 = 4*y - 2*l, 0 = -3*y + 4*l + 4 for y. 4 Solve -4*v + 5*d = 16, 0*v - 2*v - 14 = -4*d for v. 1 Solve 5*z + 1 = -3*t, 0*z = 3*t + 4*z - 1 for t. 3 Solve 3*r = -0*r, 5*o + 10 = -3*r for o. -2 Solve -5*r - 3*v + 6*v = 25, 5 = -r - 3*v for r. -5 Solve -5*n - 5*d - 45 = 0, -3*n + 2*d = -2*d - 8 for n. -4 Solve 10 = -2*u - v, -9*v - 43 = 9*u - 5*v for u. -3 Solve -3*r + 6*v + 23 = 4*v, 9 = r - v for r. 5 Solve -4*l + 14 = -2*h + 10, l + 9 = -2*h for h. -4 Solve -2*v - 6 = -4*o, v - 8*o + 1 = -4*o for v. -5 Solve w + 18 = -4*k + 20, -6*k - 6 = -3*w for w. 2 Solve 5*f - 4*f + 5*i = -9, 0 = 2*f + 4*i + 6 for f. 1 Solve -4*g - 11 = 3*k, -4*g + 2 = -3*g - 4*k for g. -2 Solve f + 12 - 3 = 5*m, 0 = -5*f + 2*m + 1 for f. 1 Solve 2*y - 7 = y - 5*g, 2*y + 2*g = 6 for y. 2 Solve 0 = 4*m - 16, 2*m + m - 10 = w for w. 2 Solve -4*w - 2*d - 30 = 0, -6 = w + 2*d + 9 for w. -5 Solve -2*s + 3*s - 5*z = -20, -5*s = 3*z - 12 for s. 0 Solve -14*m + 11*m = -2*r + 7 - 3, 4*m = 0 for r. 2 Solve -2*b + 4*n = -12, -5*b = -4*n - 0*n - 24 for b. 4 Solve r - g + 1 = -r, 11 = 3*r - 4*g for r. -3 Solve 4*v - 94*s = -89*s - 22, -4*v - 4*s - 40 = 0 for v. -8 Solve 2*t - n - 6 + 0 = 0, 4*t - 5*n = 0 for t. 5 Solve 4*f = 2*d - 152 + 148, 5*f = -3*d - 16 for f. -2 Solve 3*v - v = -5*d + 1, 4*d = -v + 2 for v. -2 Solve 0*s = -s - 5, -29 = 2*a + 5*s for a. -2 Solve 6*v - 6 = 9*v - 2*y, -4*v + y = 3 for v. 0 Solve 8*x + 40 = 3*x - 5*o, 3*x - 2*o = -9 for x. -5 Solve l - 4*v = 23 - 13, -2*l - v - 7 = 0 for l. -2 Solve 0 = -3*c - 5*b - 13, 4 = -2*c - b for c. -1 Solve -g - 3 = -3*z + 6, 5*g - 12 = -4*z for z. 3 Solve -3*f - 5 = -5*v, -28 = -5*f - 4*v + 13 for f. 5 Solve -2 = i - 5*v, 2*i - 4 = -0*v + 2*v for i. 3 Solve -2*s + m + 15 = 0, -3*s - 5*m -
{ "pile_set_name": "DM Mathematics" }
060*a - 495. Let k(j) = -4*s(j) - 55*z(j). Let f(q) = -8*q**2. Determine f(k(v)). -9945800*v**2 Let t(v) = -v - 26. Let p(c) be the first derivative of -3/2*c**2 - 98 + 0*c. Determine t(p(j)). 3*j - 26 Let n(p) = 54*p**2 + 56*p**2 - 188*p**2 + 9 + 54*p**2 + 40*p**2. Let b(m) = -4*m. Determine b(n(w)). -64*w**2 - 36 Let r(d) = 6*d**2. Let v(z) = -83386*z + 44*z**2 + 83386*z - 382*z**2. Give r(v(x)). 685464*x**4 Let y = -44 - -47. Let b(n) = 2 - 35*n**2 - 7*n**2 + 1 + y*n + 12*n**2. Let p(w) = -w**2 + w + 1. Let c(q) = -b(q) + 3*p(q). Let r(j) = j. Determine r(c(v)). 27*v**2 Let q(u) = -u. Let f(p) = -722*p**2 - 924*p. Calculate f(q(v)). -722*v**2 + 924*v Let w(q) = 9030045*q. Let p(d) = 2*d**2. Calculate p(w(v)). 163083425404050*v**2 Let p(y) be the second derivative of -2*y**3/3 + 4260*y. Let n(c) be the third derivative of c**5/4 + c**2. Calculate n(p(x)). 240*x**2 Let h(j) = 59*j**2 - j. Let b(m) = 589800*m. What is h(b(v))? 20523978360000*v**2 - 589800*v Let s(t) = 5*t. Let p be -1293*4/(-48) + 5/20. Let k(v) = 347*v**2 - 104*v**2 - 120*v**2 - p*v**2. Calculate k(s(x)). 375*x**2 Let j(v) = 27*v**2. Let d(k) be the third derivative of -3*k**4/8 + k**3 - 6573*k**2. Determine d(j(f)). -243*f**2 + 6 Let d(x) = 8405 - 8405 - 1644*x**2. Let b(y) = -4*y. Give b(d(n)). 6576*n**2 Let v(y) be the third derivative of 129*y + 0*y**3 + 0 - 1/24*y**4 + y**2. Let u(n) = -23*n**2. Calculate v(u(f)). 23*f**2 Suppose 2*x + 2 = 3*x. Let i(r) = 3*r - 6*r + x*r + 2*r. Let v(a) be the third derivative of 7*a**4/24 + 73*a**2. What is v(i(n))? 7*n Let u(a) be the third derivative of 0*a - 9*a**2 + 0 + 7/60*a**5 + 0*a**3 + 0*a**4. Let b(n) be the first derivative of -n**2/2 - 84. Calculate u(b(z)). 7*z**2 Let w(o) be the first derivative of o**3 - 423*o + 25 + 423*o. Let d(y) = -12*y. Give w(d(k)). 432*k**2 Suppose -33*u + 20*u + 793 = 0. Let l(o) = 69*o**2 + u*o**2 + 27 - 128*o**2. Let f(t) = t. What is l(f(g))? 2*g**2 + 27 Let o(a) = -a + 21. Let f(z) = 121215*z. Give f(o(g)). -121215*g + 2545515 Let u(x) = -2*x. Let k(w) = 3*w - 16. Let t be k(10). Suppose -5*q = t*q - 38. Let a(b) = -b**q + 4 + 31 + 53 - 10. Give a(u(r)). -4*r**2 + 78 Let a(z) be the second derivative of -z**3/3 - z - 106. Let o(n) = -170 + n + 170. What is a(o(m))? -2*m Let x(i) = 110*i + 4. Let h(q) = -205*q - 10. Let u(m) = 122*m + 6. Let c(v) = -3*h(v) - 5*u(v). Give x(c(k)). 550*k + 4 Let y(s) = 200*s**2 + 418*s**2 - 1573*s**2. Let n(q) = -q. Determine n(y(d)). 955*d**2 Let s(v) = -1 + 1 - 215*v - 217*v + 434*v. Let g(i) = 1035*i**2. What is g(s(t))? 4140*t**2 Let p(z) be the first derivative of -79 + 0*z + 5/2*z**2. Let r(n) = 28*n**2. Give r(p(i)). 700*i**2 Let r(y) = 18*y**2 + 2*y. Let s(w) = -20*w**2 - 3*w. Let i(d) = -3*r(d) - 2*s(d). Let g(z) = -100*z**2. What is i(g(h))? -140000*h**4 Let f(m) = 1014*m. Let c(q) = -74*q**2. Determine c(f(p)). -76086504*p**2 Let l(y) = y**2 - 1256522. Let j(h) = -29*h. Determine j(l(b)). -29*b**2 + 36439138 Let c(y) = 2*y. Let b(n) = 3*n. Suppose 4*k - 66 + 26 = 0. Let z(o) = k*c(o) - 6*b(o). Let l(u) = -2*u - 2. What is l(z(i))? -4*i - 2 Suppose -8*o + 3*o = 0, 5*j - 1365 = o. Let p(s) = -j + 273 + 18*s. Let f(b) = b**2. Calculate p(f(d)). 18*d**2 Let f(z) = -82*z. Let l(s) = s**3 + 9*s**2 - 2*s + 85. Let d be l(-10). Let a(x) = -3*x - 10*x + d*x + 13*x. Give a(f(h)). -410*h Let o(w) = 15*w**2 - 11. Let l(r) = -9488*r**2. Give o(l(c)). 1350332160*c**4 - 11 Let a(j) be the first derivative of -j**3/3 + 949. Let f(d) = -78*d**2. What is f(a(x))? -78*x**4 Let s(g) be the first derivative of -4*g**3/3 + 87. Let f(w) = -w - 4. Let u(d) = -1. Let l(v) = -5*f(v) + 20*u(v). Determine s(l(a)). -100*a**2 Let j(t) be the second derivative of -t**3/3 - 189*t. Let d(c) = 3*c - 14. Let w be d(6). Let s(m) = 2*m**2 - w*m**2 - 8*m**2 - 21*m**2. Calculate s(j(f)). -124*f**2 Let x(q) = -315751*q**2. Let i(r) = 29*r**2 - 24. What is i(x(m))? 2891262126029*m**4 - 24 Let s(q) = 2*q. Suppose 14*a + 12 = 12. Let p(h) = a*h**2 + 4*h + 4*h**2 + 2*h + 0*h - 3*h. What is p(s(m))? 16*m**2 + 6*m Let j(w) be the second derivative of 0*w**3 + 0*w**2 - 2*w - 1/6*w**4 + 0. Let y(h) = h + 3*h + 5*h. Determine j(y(x)). -162*x**2 Suppose -6*y - 3*r = -2*y - 17, 19 = 5*y + 3*r. Let g(v) = 3*v**y + 5 + 6 - 19 + 8. Let d(b) = 52*b**2. Determine g(d(n)). 8112*n**4 Let z(l) = -l + 100. Let w(r) = 27883*r**2. Give z(w(h)). -27883*h**2 + 100 Let q(j) = 6*j. Let k(x) = x - 1. Suppose -3*b = -8*b + 110. Suppose -7*c = b - 85. Let t(i) = 6*i - 9. Let a(y) = c*k(y) - t(y). What is a(q(f))? 18*f Let k(l) = 582*l**2. Let b(w) = 510*w**2. Determine k(b(j)). 151378200*j**4 Let m(z) = -55*z + 3. Let d(s) = -20*s + 1. Let o(p) = -3*d(p) + m(p). Let q(f) be the third derivative of f**5/20 - f**2. Calculate q(o(x)). 75*x**2 Let d(k) = -90*k - 53*k + 130*k. Let f(b) = 4*b - 3*b + 6*b. Give d(f(a)). -91*a Let n(d) = 4782*d**2. Let z(j) = -j + 974. Give z(n(h)). -4782*h**2 + 974 Let g(p) be the third derivative of p**4/8 + 2*p**2. Let o(a) be the second derivative of a**3/6 + a**2 - 25*a + 299. Give g(o(h)). 3*h + 6 Let g(z) = -78*z**2. Let n(i) = 2056*i + 70. Give n(g(o)). -160368*o**2 + 70 Let j(n) = 869042*n**2 + 2. Let d(z) = 7*z. Calculate d(j(l)). 6083294*l**2 + 14 Let f(o) be the third derivative of 7*o**5/5 + 3*o**2 - 12*o. Let d(t) = 3. Let i(j) = j**2 - 15. Let x(k) = -15*d(k) - 3*i(k). Determine f(x(z)). 756*z**4 Let u(i) = 43*i - 43*i + 41*i**2. Let h(d) = 82*d + 88*d - 169*d. Calculate u(h(x)). 41*x**2 Let p(w) = -89473*w. Let z(c) = 17*c. Determine p(z(n)). -1521041*n Let u(y) be the second derivative of -y**4/6 - 2*y. Let v be (2 - 0)/(-6*3/(-27)). Let t(l) = -602 + 602 + v*l**2. Give t(u(r)). 12*r**4 Let j(z) = -3*z**2. Suppose 0 = -2*t - 18 + 22. Suppose -t*d + 0 = -90. Let p(m) = d*m**2 - 26*m**2 - 18*m**2. Determine p(j(v)). 9*v**4 Let y(d) = -11*d. Let q(x) be the second derivative of -4*x**3/3 + 3*x**2/2 - 1115*x. What is q(y(g))? 88*g + 3 Let k(a) = 8 - a + 0*a - 8. Let u(o) be the first derivative of 1/2*o**2 + 0*o + 48. Determine u(k(n)). -n Let j(d) be the second derivative of -69*d + 23/6*d**4 + 0 + 0*d**2 + 0*d**3. Let c(f) = -3*f**2. Give c(j(s)). -6348*s**4 Let b(c) = 6*c**2 + 148*c. Let j(i) = 4*i**2 + 12230 - 24465 - 5*i**2 + 12235. What is b(j(f))? 6*f**4 - 148*f**2 Let u(f) = -20*f. Let o(c) = 28*c + 235. Let r(l) = 61*l + 477. Let v(i) = -13*o(i) + 6*r(i). Determine u(v(j)). -40*j + 3860 Let h(z) = 108*z**2. Let m(s) = 4*s - 34. Suppose 35 - 161 = 9*o. Let f be m(o). Let n(g) = g**2. Let r(t) = f*n(t) + h(t). Let y(k) = -k. Determine y(r(i)). -18*i**2 Let d(r) be the first derivative of 56/3*r**3 + 0*r + 0*r**2 - 80. Let x(y) = -2*y**2. Calculate d(x(w)). 224*w**4 Suppose -2*h = g - 0 - 4, 4*g - 1 = -3*h. Let r(t) = t + 4. Let l be r(g). Let c(z) = -8*z**2 + 5*z**2 + 5*z**l - z**2. Let y(w) = -24*w. What is c(y(n))? 576*n**2 Let i(r) = -3*r. Let b(p) be the second derivative of -3*p**4/4 - p**3/6 - 1272*p. Give i(b(s)). 27*s**2 + 3*s Let p(b) be the third derivative of -257*b**4/8 - 2072*b**2. Let u(n) = -n**2. Determine p(u(y)). 771*y**2 Let u(g) = 706*g - 63. Let m(w) = -471*w + 45. Let z(b) = 7*m(b) + 5*u(b). Let o(a) = -9*a. Give z(o(l)). -2097*l Let x = 808 + -664. Let n(q) = -x + 7*q - 31*q + 144. Let d(t) = 14*t. Give n(d(v)). -336*v Let s(q) = -9*q**2. Let g(h) = 249983296*h**2. Calculate g(s(t)). 20248646976*t**4 Let c(h) = -20*h - 3. Suppose 21*l = 29*l - 232. Let b(d) = -29 + d + d + l. Calculate b(c(m)). -40*m - 6 Let y(h) = 2*h**2. Let m(s) be the second derivative of 0*s**3 + 216*s + s**2 + 0 - 7/6*s**4. Give y(m(p)). 392*p**4 - 112*p**2 + 8 Let u(t) = t**2 + 18*t + 60. Let m be u(-14). Let c(l) = 268 - 134 + m*l**2 - 134. Let i(o) = 17*o. Calculate i(c(q)). 68*q**2 Let a(g) = 54*g + 297. Let w(q) = -11*q - 54. Let y(n) = 2*a(n) + 11*w(n). Let x(b) = -17*b**2. Give x(y(k)). -2873*k**2 Let u(g) = 170*g**2. Let r = 495 - 492. Let f(w) = -w + 3. Let j(p) = -p + 2. Let b(a) = r*j(a) - 2*f(a). Give b(u(l)). -170*l**2 Let u(d) = 657*d. Let z(p) = -54*p + 119. Determine z(u(a)). -35478*a + 119 Let p(h) = 8*h**2. Let d(m) = 4246885*m. Determine p(d(z)). 144288257625800*z**2 Let h(u) = 59*u. Let z(x) be the third derivative of -5*x**4/8 + 881*x**2. Give h(z(b)). -
{ "pile_set_name": "DM Mathematics" }
AM? 11:01 PM How many minutes are there between 7:32 AM and 3:42 PM? 490 What is 387 minutes before 7:26 PM? 12:59 PM How many minutes are there between 5:13 PM and 10:54 PM? 341 How many minutes are there between 9:58 AM and 6:38 PM? 520 What is 662 minutes before 1:42 PM? 2:40 AM What is 657 minutes after 10:26 AM? 9:23 PM How many minutes are there between 8:48 AM and 1:01 PM? 253 How many minutes are there between 6:49 AM and 1:35 PM? 406 What is 337 minutes before 4:43 PM? 11:06 AM How many minutes are there between 6:53 PM and 11:36 PM? 283 What is 195 minutes before 10:49 AM? 7:34 AM How many minutes are there between 10:47 PM and 5:33 AM? 406 How many minutes are there between 4:13 PM and 11:01 PM? 408 What is 207 minutes after 10:48 AM? 2:15 PM How many minutes are there between 9:17 AM and 4:26 PM? 429 How many minutes are there between 6:48 PM and 7:40 PM? 52 What is 39 minutes after 9:03 PM? 9:42 PM What is 557 minutes after 5:50 AM? 3:07 PM How many minutes are there between 5:39 PM and 6:55 PM? 76 How many minutes are there between 3:43 AM and 7:38 AM? 235 What is 331 minutes before 10:39 AM? 5:08 AM What is 155 minutes after 5:37 AM? 8:12 AM How many minutes are there between 3:50 PM and 7:50 PM? 240 How many minutes are there between 6:26 PM and 5:43 AM? 677 What is 136 minutes after 10:39 AM? 12:55 PM How many minutes are there between 3:50 AM and 2:26 PM? 636 What is 235 minutes before 5:58 PM? 2:03 PM How many minutes are there between 3:45 PM and 3:00 AM? 675 What is 153 minutes after 9:42 PM? 12:15 AM What is 69 minutes before 8:11 PM? 7:02 PM How many minutes are there between 6:45 PM and 11:38 PM? 293 How many minutes are there between 5:07 AM and 2:27 PM? 560 How many minutes are there between 8:53 PM and 6:38 AM? 585 What is 286 minutes after 2:01 AM? 6:47 AM What is 526 minutes after 3:40 AM? 12:26 PM How many minutes are there between 3:48 AM and 1:07 PM? 559 What is 404 minutes before 10:26 AM? 3:42 AM How many minutes are there between 12:31 AM and 7:30 AM? 419 What is 96 minutes after 8:25 PM? 10:01 PM What is 459 minutes before 5:02 AM? 9:23 PM What is 705 minutes after 4:14 AM? 3:59 PM What is 669 minutes after 10:05 AM? 9:14 PM What is 159 minutes before 3:28 PM? 12:49 PM What is 625 minutes before 10:22 PM? 11:57 AM How many minutes are there between 1:47 PM and 7:07 PM? 320 What is 680 minutes after 6:43 AM? 6:03 PM What is 50 minutes after 6:32 AM? 7:22 AM What is 107 minutes after 6:11 AM? 7:58 AM How many minutes are there between 7:17 PM and 7:26 PM? 9 How many minutes are there between 9:21 PM and 10:10 PM? 49 What is 9 minutes before 7:58 AM? 7:49 AM How many minutes are there between 7:55 PM and 2:49 AM? 414 What is 373 minutes before 9:05 AM? 2:52 AM How many minutes are there between 1:13 AM and 6:26 AM? 313 How many minutes are there between 5:06 PM and 9:20 PM? 254 What is 69 minutes after 8:11 AM? 9:20 AM How many minutes are there between 9:49 AM and 4:59 PM? 430 How many minutes are there between 4:56 PM and 5:45 PM? 49 What is 121 minutes before 1:24 AM? 11:23 PM What is 662 minutes before 5:51 AM? 6:49 PM How many minutes are there between 4:03 PM and 10:03 PM? 360 How many minutes are there between 7:55 PM and 7:34 AM? 699 How many minutes are there between 5:36 PM and 7:51 PM? 135 How many minutes are there between 2:53 PM and 8:14 PM? 321 What is 420 minutes before 1:06 PM? 6:06 AM What is 89 minutes after 11:17 AM? 12:46 PM What is 127 minutes after 2:14 AM? 4:21 AM What is 337 minutes before 3:48 AM? 10:11 PM What is 270 minutes before 10:00 PM? 5:30 PM How many minutes are there between 11:44 PM and 9:51 AM? 607 How many minutes are there between 12:42 PM and 9:30 PM? 528 How many minutes are there between 6:53 PM and 12:37 AM? 344 What is 51 minutes before 1:25 AM? 12:34 AM What is 156 minutes after 5:02 PM? 7:38 PM How many minutes are there between 4:02 AM and 8:54 AM? 292 What is 488 minutes before 5:25 PM? 9:17 AM What is 141 minutes after 1:11 PM? 3:32 PM How many minutes are there between 5:26 AM and 4:21 PM? 655 How many minutes are there between 9:42 AM and 10:53 AM? 71 How many minutes are there between 10:39 AM and 8:25 PM? 586 What is 439 minutes after 1:04 AM? 8:23 AM How many minutes are there between 11:43 PM and 1:49 AM? 126 What is 126 minutes before 7:29 PM? 5:23 PM What is 675 minutes after 9:33 AM? 8:48 PM How many minutes are there between 5:49 AM and 2:39 PM? 530 How many minutes are there between 10:55 AM and 1:47 PM? 172 How many minutes are there between 4:20 PM and 6:35 PM? 135 What is 560 minutes after 11:20 AM? 8:40 PM What is 583 minutes after 5:10 PM? 2:53 AM What is 142 minutes before 7:41 AM? 5:19 AM How many minutes are there between 4:17 AM and 10:23 AM? 366 What is 609 minutes before 8:27 AM? 10:18 PM How many minutes are there between 10:41 AM and 4:53 PM? 372 How many minutes are there between 3:41 PM and 8:06 PM? 265 How many minutes are there between 8:26 AM and 10:09 AM? 103 How many minutes are there between 2:37 PM and 5:32 PM? 175 How many minutes are there between 2:33 PM and 8:28 PM? 355 How many minutes are there between 11:21 PM and 8:51 AM? 570 What is 639 minutes after 2:44 AM? 1:23 PM What is 98 minutes after 1:56 AM? 3:34 AM How many minutes are there between 3:34 PM and 4:07 PM? 33 What is 480 minutes before 7:41 PM? 11:41 AM How many minutes are there between 11:21 PM and 9:26 AM? 605 What is 385 minutes after 2:39 PM? 9:04 PM What is 714 minutes after 12:33 PM? 12:27 AM How many minutes are there between 12:04 AM and 12:14 AM? 10 How many minutes are there between 3:01 AM and 9:15 AM? 374 What is 376 minutes after 11:14 PM? 5:30 AM What is 153 minutes after 1:18 PM? 3:51 PM What is 703 minutes before 9:03 PM? 9:20 AM How many minutes are there between 12:51 AM and 5:51 AM? 300 How many minutes are there between 12:56 AM and 10:37 AM? 581 What is 657 minutes before 7:16 AM? 8:19 PM How many minutes are there between 6:00 PM and 8:45 PM? 165 How many minutes are there between 12:44 AM and 4:40 AM? 236 What is 388 minutes after 4:00 PM? 10:28 PM How many minutes are there between 10:38 PM and 2:02 AM? 204 What is 428 minutes before 2:21 PM? 7:13 AM What is 252 minutes after 8:01 AM? 12:13 PM How many minutes are there between 1:24 PM and 8:10 PM? 406 How many minutes are there between 2:22 PM and 9:23 PM? 421 How many minutes are there between 3:04 AM and 11:28 AM? 504 What is 170 minutes after 8:29 AM? 11:19 AM What is 195 minutes after 5:45 PM? 9:00 PM How many minutes are there between 7:03 AM and 11:33 AM? 270 What is 578 minutes before 7:52 PM? 10:14 AM What is 82 minutes after 7:45 AM? 9:07 AM What is 505 minutes before 12:40 AM? 4:15 PM What is 709 minutes before 2:54 AM? 3:05 PM How many minutes are there between 7:07 AM and 4:48 PM? 581 How many minutes are there between 12:16 PM and 8:44 PM? 508 What is 399 minutes after 10:44 PM? 5:23 AM How many minutes are there between 11:05 PM and 10:21 AM? 676 How many minutes are there between 7:44 PM and 11:21 PM? 217 What is 130 minutes after 7:32 AM? 9:42 AM How many minutes are there between 2:40 AM and 5:26 AM? 166 How many minutes are there between 8:58 AM and 11:05 AM? 127 What is 67 minutes before 3:44 PM? 2:37 PM What is 60 minutes after 1:15 AM? 2:15 AM What is 14 minutes before 4:54 AM? 4:40 AM How many minutes are there between 1:13 AM and 3:20 AM? 127 What is 552 minutes after 7:16 AM? 4:28 PM What is 420 minutes after 9:12 AM? 4:12 PM How many minutes are there between 7:07 AM and 4:23 PM? 556 How many minutes are there between 12:09 PM and 12:59 PM? 50 How many minutes are there between 12:54 AM and 5:49 AM? 295 What is 439 minutes after 9:35 AM? 4:54 PM How many minutes are there between 5:00 PM and 11:54 PM? 414 What is 556 minutes after 9:11 AM? 6:27 PM How many minutes are there between 1:10 PM and 5:14 PM? 244 How many minutes are there between 12:00 PM and 6:44 PM? 404 How many minutes are there between 11:54 PM and 2:58 AM? 184 How many minutes are there between 5:46 AM and 9:29 AM? 223 How many minutes are there between 9:35 PM and 12:26 AM? 171 How many minutes are there between 11:08 PM and 2:45 AM? 217 What is 676 minutes after 11:38 AM? 10:54 PM What is 1
{ "pile_set_name": "DM Mathematics" }
one hundred. -200 Let r = -257.06 + -0.94. Let c = 222.7 + r. What is c rounded to zero decimal places? -35 Let t = -0.386999614 - -0.387. What is t rounded to seven dps? 0.0000004 Let o = 56.4 + -0.4. Let r = 2211959.7700118 + -2211903.77. Let k = r - o. Round k to six decimal places. 0.000012 Let k = -867 - -946.6. What is k rounded to the nearest ten? 80 Let c be (-1)/2 + 9/18. Suppose 0 = -c*f + f + 4. Let a be f/(-16) + (-43200004)/16. Round a to the nearest 1000000. -3000000 Let l = -0.292475 + 0.0724745. Let r = 0.22 + l. What is r rounded to 7 decimal places? -0.0000005 Let s = -1802 + 1802.3483. Let q = 0.36 - s. What is q rounded to 3 decimal places? 0.012 Let x = 8.05 - 8.864. Round x to the nearest integer. -1 Let o = -61 + 30. Let m = -239.1 - -270.48. Let u = o + m. What is u rounded to one decimal place? 0.4 Let t = -11090 - -11090.0006603. What is t rounded to four decimal places? 0.0007 Let d(n) be the second derivative of n**3/3 + 5*n**2/2 + 5*n. Let z be d(4). Suppose f - z = 17. Round f to the nearest ten. 30 Suppose -u = 3*b - 12, 6*u + 2*b = 2*u - 2. Let f be (u - -2) + (-1329998 - 1). What is f rounded to the nearest one hundred thousand? -1300000 Let h be 48/10 - (-12)/(-15). Suppose 567928 = h*v - 2272072. What is v rounded to the nearest 100000? 700000 Let m = 0.008 - 0.00794659. Round m to five dps. 0.00005 Let v(n) = n**3 + 4*n**2 - 21*n - 10. Let l be v(-7). Let w be l*58*2500*2. What is w rounded to the nearest one million? -3000000 Let y = -0.03 + 0.02688. Round y to four decimal places. -0.0031 Let s = -20.3 + 196.1. Let a = 206 - s. Round a to the nearest integer. 30 Let c = 1 + 2. Suppose -7*a + 320 = -3*a + 3*p, -160 = -2*a - c*p. Suppose a = -6*j + j. What is j rounded to the nearest 10? -20 Let s = 166 - 182. Let q = 0.56 + -17.66. Let x = q - s. What is x rounded to zero decimal places? -1 Let k = 60.6 - 52.3. Round k to the nearest 10. 10 Let t = -1878 + 2058.9. Round t to the nearest ten. 180 Let z = 1.107 - 1.28. Let u = 0.173182 + z. What is u rounded to 4 decimal places? 0.0002 Suppose -5 = 4*h - 9*h. Let p be (17 + -18)/(((-2)/(-166))/h). Round p to the nearest 10. -80 Let r = -7 + 9. Let d be r/1 + -3 + 6. Suppose 4*a + 119 = d*c, 6*c - 3*c + 158 = -5*a. What is a rounded to the nearest ten? -30 Suppose 5*s - 2997882 = -f, 3*f + 0*f = 2*s + 8993731. Suppose 0 = -t - 147907 + f. Round t to the nearest 100000. 2900000 Let f = 5.5 + -5. Let l = 4.5 + f. Let n = -4.99995 + l. Round n to 4 dps. 0.0001 Let u = 1.1 + -10.1. Let g = u - -9.15. Let j = -0.167 + g. What is j rounded to 2 dps? -0.02 Suppose -4*r - r + 2*o + 182 = 0, 0 = -2*r - o + 71. Let l be (2 + -3)*(3/(-1) + r). What is l rounded to the nearest ten? -30 Let u be 2/(1/(-2)*8/(-10)). Suppose 3*b - 13 = 5*h - 147, 2*b = u*h - 81. What is b rounded to the nearest ten? -50 Let f = 437.99614 + -438. Round f to 4 dps. -0.0039 Let z = -17.707086 + 17.808. Let l = 0.101 - z. What is l rounded to five dps? 0.00009 Let c be (-18 + -3 - -2) + 3. Let b be ((-51)/34)/(6/c). Suppose -11900 = t - 4*o, -t = -0*t + b*o + 11900. Round t to the nearest 1000. -12000 Let q = -5.3999963 + 5.4. Round q to six dps. 0.000004 Let p = 39047 - 39043.6074. Let i = 146.7626 - p. Let w = 144 - i. What is w rounded to one dp? 0.6 Let p = -18.5 + 232.5. Let v = -213.9818 + p. Round v to 3 decimal places. 0.018 Let p be -1*9/3 - -66105. Let z = p - 116102. Round z to the nearest 100000. -100000 Let n = 12.98412537 + -33.98412701. Let t = -21 - n. What is t rounded to seven dps? 0.0000016 Let u = -87 - -87. Suppose q - 3*c - 16203 = u, 7*q = 3*q - 4*c + 64796. Round q to the nearest 1000. 16000 Let k = 3984839 + 5743024. Suppose g + 3327863 = k. What is g rounded to the nearest 1000000? 6000000 Let o = 0.12087 + -194.96087. Let a = -0.16 + o. Let f = a + 194.999897. What is f rounded to 5 dps? -0.0001 Let g = -56.01379 + 64.306449. Let v = 7.99265942 - g. Let u = 0.3 + v. What is u rounded to seven decimal places? 0.0000004 Let c be 2/12 + 255/(-18). Let r(i) = i**3 + 14*i**2 - 7*i + 17. Let x be r(c). Suppose o - x = -305. Round o to the nearest 10. -190 Let b = -0.028657 + 22.649757. Let n = b - 22.6. What is n rounded to 3 dps? 0.021 Let n = 0.7 + -0.02. Let h = n + -0.17. Let k = -0.5034 + h. What is k rounded to three decimal places? 0.007 Let g = 2076.6 + -2244.19. Let u = -169 - g. What is u rounded to 1 dp? -1.4 Let h(u) = 1923*u + 390*u - 4 - 29*u + 370*u. Let m be h(-3). Let p = m + 2666. What is p rounded to the nearest 1000? -5000 Let h(a) = 3 + 2 + 71*a**2 - 6*a - 6 - 8*a. Let t be h(7). Round t to the nearest one hundred. 3400 Suppose -2*b + 5*i - 16064962 = 10457058, -53043988 = 4*b + 3*i. What is b rounded to the nearest one million? -13000000 Let a = -19465787 + 19465785.4600097. Let y = a + 1.54. Round y to 6 decimal places. 0.00001 Let i = 9668.9993197 - 9669. Round i to 4 decimal places. -0.0007 Let m = -0.068 + 0.028. Let u = -0.0399946 - m. What is u rounded to 6 decimal places? 0.000005 Let x = 81 + -78. Let l be (-900021)/(-3) + 0 + 0. Let m be (-6)/x - (5 - l). What is m rounded to the nearest one million? 0 Let g = -154831.073 - -154904. Let t = g - 73. What is t rounded to two decimal places? -0.07 Let m(n) = 20300006*n**2 - 14*n + 4. Let z be m(2). What is z rounded to the nearest 1000000? 81000000 Let u = 30 + -30.228. Let z = u - -0.5272. Let r = z + -0.3. What is r rounded to three decimal places? -0.001 Suppose 44*f = 39*f + 138850000. What is f rounded to the nearest one million? 28000000 Let w = 189282.81 - 190571. Let j = w - -1283. Let f = 8.8 + j. Round f to 1 dp. 3.6 Let h be 23/(161/13090)*260. Round h to the nearest one hundred thousand. 500000 Let b(t) = -t**2 + 8*t + 3. Let o be b(8). Suppose -3*q - 2*s = 1890010, 3*q = -0*s - o*s - 1890015. What is q rounded to the nearest one hundred thousand? -600000 Let d = -0.546 - -7.206. Round d to zero dps. 7 Let m = 0.0822 - 254.7822. What is m rounded to the nearest one hundred? -300 Let c be 8 + -3 + 0/(-2). Suppose -649980 = -c*o - 5*s, -o + 2*s + 650008 = 4*o. Round o to the nearest one hundred thousand. 100000 Let h be 20 + -27 + (6075012 - 5). Round h to the nearest 100000. 6100000 Let k be (-834)/(-9) - 8/(-24). Let o be (-1250)/(k/96 + -1). Round o to the nearest one thousand. 40000 Let h = 7353943.000308 + -7354099. Let r = h - -156. Round r to 4 dps. 0.0003 Let s = 1284894.2699956 - 1284894. Let i = 0.27 - s. Round i to 6 dps. 0.000004 Let a(b) = 5*b**2 + 3*b - 2. Let m be a(-14). Suppose -v - 936 = 5*x, 4*x = -0*v - v - m. Let k = 1726 + v. Round k to the nearest one hundred. 800 Let n = -1.1 - -27.1. Let m = n + -7. Let f = -19.00028 + m. What is f rounded to four decimal places? -0.0003 Let t = 66702 - 66710.0014. Let v = t - -8. Round v to 3 dps. -0.001 Let b = 6999 + -1239. What is b rounded to the nearest one thousand? 6000 Let y = -27 - -26.9997552. Round y to 5 decimal places. -0.00024 Let w be (-33)/(-7) - 30/(-105). Suppose -4650003 = -5*x + a, -1917050 - 2732962 = -w*x + 4*a. What is x rounded to the nearest one hundred thousand? 900000 Let r = -23447599 - -15047599. What is r rounded to the nearest 1000000? -8000000 Let w = 56.06 - 55. Let n = 0 + 1. Let u = w - n. Round u to one decimal place. 0.1 Let r = -722 - -722.00662. What is r rounded to four dps? 0.0066 Let t = 13 + -11. Let o be -8692 - 2/(-4)*t. Let x = -19691 - o. What is x rounded to the nearest 10000? -10000 Let r(y) = 51999*y**2 + y. Let j be r(1). What is j rounded to the nearest one hundred thousand? 100000 Let q = -3149028 + 17949028. What is q rounded to the nearest one hundred thousand? 14800000 Let m = -79612572092 + 79611831481.99998. Let b = m + 740598. Let d = b + 12. Round d to 5 decimal places. -0.00002 Suppose -2*s + 5*s - 729 = 0. Let g = s - 543. What is g rounded to the nearest one thousand? 0 Let m = 6.28998715 + -6.29. Round m to 7 decimal places. -0.0000129 Let u = -91.91636 + 91.9. Round u to three dps. -0.016 Suppose 3*w + 18020 = 5*v, -2*v + 5 = -3. What is w rounded to the nearest ten thousand? -10000 Let v = -331354.47000005 - -331355.67. Let a = v - 1.2. Round a to seven decimal places. -0.0000001 Let y = -11 - -13. Suppose 4400000 = -y*u - 0*u. What is u rounded to the neares
{ "pile_set_name": "DM Mathematics" }
379. Let h be (-5)/12 - 6/(-9). What is the fourth biggest value in h, b, d, -2? -2 Let z be ((5 - 11)/(-144))/((-3)/(-1468)). Let i = -121/6 + z. Let f = -3.4 + 3. What is the second smallest value in f, i, -2/7? -2/7 Let j = 945 + -6617/7. Which is the second biggest value? (a) j (b) -0.08 (c) 2/15 b Let g = -1942.4 - -1945.4. Which is the fourth smallest value? (a) -89.7 (b) -4 (c) g (d) -2/9 c Let m = 119 + -481/4. Suppose -5*g - p = -38 - 20, -4*g = -2*p - 52. Let w be (18/48)/(g/16) - 0. What is the third smallest value in 0.3, m, w, -4? 0.3 Let h = -2220 + 2221. Which is the second biggest value? (a) 0 (b) 0.09 (c) 11/4 (d) h d Let k = 0.48737 + -0.08737. What is the second smallest value in k, 3/280, 3? k Let r be (-2)/(-5) - (-358)/5 - (-737 + 741). What is the second smallest value in -1, 3/5, -4, r, -2/9? -1 Let k = -21 - -20.6. Let u = 25.67 + -26.05. Which is the third smallest value? (a) k (b) 1 (c) u b Let h = 1/101 + -215/1313. What is the second biggest value in -4, h, -32, 3? h Let g = 103.15 - 107. Let h = g - 0.15. What is the biggest value in 2, -13, h, -1/4? 2 Suppose 0 = -246*w - 177 + 103 - 172. What is the second smallest value in 1364/7, w, 2? 2 Let i = 0.344 + -0.744. Let p = 160 + -1442/9. Which is the third biggest value? (a) p (b) i (c) 3.5 b Let w = 42 - 16. Suppose -4*f - n = -9*f + 38, -5*f + w = 3*n. Let h = -2.6287 + 3.0287. Which is the second biggest value? (a) f (b) -2 (c) h c Let t = -259 - -202. Let u = t - -57.3. Which is the second smallest value? (a) 3/5 (b) u (c) 1/9 b Let x be 4/14 + 4/35. Let m be -1 - 18/(-10) - 522399/(-920). Let i = -569 + m. Which is the third biggest value? (a) -4 (b) -3 (c) x (d) i b Let f = 2 + 0. Let v = -1/2103 - -4219/27339. Which is the fourth smallest value? (a) 0 (b) v (c) -3 (d) f d Let w = 187.9 + -13.9. Let s = 178 - w. Which is the third smallest value? (a) s (b) 5 (c) -0.4 (d) -1 a Let x = 1.084 + -0.984. Which is the smallest value? (a) 5 (b) 11/20 (c) -4 (d) 0.4 (e) x c Let w = 23 - 41/2. Let d be ((-12)/9)/(((-22)/12)/(-11)). Let c be -3 + 5 + d/3. What is the fourth smallest value in w, 0.1, c, 2/7? w Let i = 0.06 - 220.06. Let q = i + 219.8. Which is the fourth biggest value? (a) 0.3 (b) 4 (c) q (d) 9 c Let r = -1463 + 1458. What is the second biggest value in -0.13, -2/33, r? -0.13 Let t(n) = 2*n**3 - 46*n**2 + 2*n - 45. Let g be t(23). Which is the third smallest value? (a) g (b) -21 (c) -10 (d) -1/4 d Suppose 0 = -2*i + 2 - 6, -y - 44 = 4*i. Which is the second smallest value? (a) y (b) -3 (c) -0.2 b Let y = 10.639 - 5.639. Let p = -3 - -3.3. Which is the smallest value? (a) 0.8 (b) p (c) y (d) 4 b Let t = -0.0283 + 0.3283. Let h = 5.6 - 8.6. Which is the second smallest value? (a) 0.2 (b) t (c) h (d) -2.4 d Let p = -60 - -89. Suppose -9*u + p = -16. Which is the biggest value? (a) u (b) 1/4 (c) 6 c Let u = 1809 - 1813. Which is the fifth biggest value? (a) 47 (b) -0.4 (c) 0.5 (d) 1/8 (e) u e Let j(i) = 11*i**2 - 13*i + 7. Let s be j(5). Let l = s + -222. What is the third smallest value in -15, 0.3, l? 0.3 Let u be (5 - 4)*(0 - 191/2). Let q = u + 96. Which is the biggest value? (a) -0.9 (b) -7 (c) q c Let p = 0.0029 + 3.2271. Let w = p - 4.23. What is the second biggest value in 0, w, -2/5? -2/5 Let c = 36009 + -36009.9. Let o = -0.19 - -11.19. What is the third smallest value in c, o, 0.3? o Let i = -3150/20137 - -4/1549. Which is the fourth smallest value? (a) i (b) -19 (c) 5 (d) 2/3 (e) -2 d Let h = 677.06 - 668. Let f = h + -10.56. What is the second biggest value in 2, f, 0.5? 0.5 Let k be (209/38)/11 + (-1)/2. Which is the second biggest value? (a) k (b) 3.1 (c) 1/3 c Let g = -0.04116 + 0.04116. Which is the third biggest value? (a) g (b) -0.2 (c) -2/5 (d) -1 c Let j = 161.01 - 165.01. Which is the second biggest value? (a) 2 (b) -1/28 (c) j (d) 5/7 d Let d = 327.4117 - 0.2117. Let a = d + -327. What is the smallest value in -3/4, -75, a? -75 Let c = 49.3 + -29.3. Let v = 19 - c. What is the second smallest value in v, 0.086, -2? v Let j = 1.327 - -2.673. What is the second biggest value in -3/4, -5, 0.3, j, 1.6? 1.6 Let p = 192.8 + -190.8. Which is the fourth smallest value? (a) 0.0885 (b) 0.2 (c) p (d) -2 (e) -2/5 b Let j = 0.1 - 0.1. Let h be 79 - 62 - (-1 - -1). Let d = -41.4 - -41.7. What is the third smallest value in h, j, d? h Let a = -1509.6 - -1509. What is the biggest value in 3, 5, -1, 0.3, a? 5 Let o be -3 - 3*(-1)/(-2). Let y = -39.8 - -40.2. Let a = -11 + 12. What is the second biggest value in a, y, o? y Let j = 7529.9 - 7531. What is the fourth biggest value in j, -3, 2/135, -5? -5 Let r = 2089.5 - 2090. Which is the second smallest value? (a) r (b) 0.5 (c) -0.2 (d) 2.2 c Let y(g) = g**3 + 13*g**2 - 4*g + 138. Let k be y(-14). Which is the third biggest value? (a) -3.6 (b) -5 (c) k (d) 2 (e) -0.2 c Let j = -119.5 + 135. Let l = -10.5 + j. Let q be (-4)/(-22) - 364/1155. What is the second biggest value in l, -1, q, 0? 0 Let s be (-117)/(-216) - 12/32. What is the biggest value in 1/3, -0.9, s? 1/3 Let t = -165 - -149. Which is the fourth biggest value? (a) 0.5 (b) -4 (c) t (d) 3 c Let s = -978 - -980. Suppose 5*g + 5 = 4*c + 4, 0 = -4*c - 3*g - 39. What is the third biggest value in c, -5, s? c Let v = 0.2 + -0.6. Let f = 531073/9 + -59008. Which is the third biggest value? (a) f (b) v (c) 18 b Let y = 6.203 + -5.203. Which is the second smallest value? (a) -142 (b) -16 (c) y b Let d(r) = r**3 + 31*r**2 + 13*r + 426. Let b be d(-31). What is the biggest value in 0.1, -2/7, -2, -2/3, b? b Suppose 14*k - 11*k = -3. Let c be (-2)/8*0 - k/(-2). Suppose 1 = 4*l + 13. What is the second smallest value in 11, l, -2/5, c? c Let r = 2617 - 2617. What is the third biggest value in r, -47, -5/2, 0.6, -4? -5/2 Let d = -143 + 143.5. Let m = 7.69 - 7.77. Which is the second smallest value? (a) d (b) 0.4 (c) m b Suppose 4*r = z - 34, 0*z + r + 58 = 3*z. Let b be -1 + 2/z*21. Suppose -1 = 2*y + 9, -3*w + 22 = -5*y. What is the smallest value in b, 2, w, -2/15? w Let l = 0.403 - -48.197. Let m = -44 + l. Let y = 4.2 - m. What is the second smallest value in -0.05, -0.1, 5/3, y? -0.1 Let w = 90.208 + -89.828. Let p be (-6)/(-15)*(-1)/(-2). What is the biggest value in p, -2, -1, w? w Let o = 256.308 + -0.308. Let f = 255 - o. What is the fourth biggest value in -7, -0.5, -2/7, f? -7 Suppose 2*m = -2*s + 20, m + 5 = 5*s - 15. Let g(i) = 5*i - 36. Let l be g(22). Suppose 0 = 8*r + 78 + l. What is the second smallest value in -5, m, r? -5 Let p = 2.567 + -6.567. What is the fifth smallest value in 4, -2/3, p, 0, -0.2? 4 Let d be ((-4)/17)/(-2 - (-12 + 8)). Let w be (20/25)/((-2)/(-10)). Suppose -5 + 3 = 2*j. What is the second biggest value in w, j, d? d Let u = 2.02 + -0.02. Let n = -7/635 + 1319/4445. Which is the fourth smallest value? (a) -0.3 (b) u (c) n (d) 4 d Suppose 0 = 59*q - 414*q - 10295. Let a = 0.4 - 0.2. What is the smallest value in 2/15, a, q? q Let f = 25488 - 50975/2. Which is the second smallest value? (a) f (b) 3 (c) -1 (d) 9 (e) -4 c Let h = -0.05099 + 0.15099. Which is the third smallest value? (a) -0.4 (b) 0.5 (c) h (d) 100 b Let m = 3933 + -3932.9. Which is the biggest value? (a) m (b) -5 (c) 2/21 a Let c = 353/170 - 57/34. What is the third smallest value in 0, -1/12, c, 21.5? c Let d be 61/3 + (-2)/6. Suppose -51 = -d*v + 19*v. Let q be 5/30 - v/(-18). What is the third biggest value in 16, q, 2/3? 2/3 Let j = 0.109 - -14.491. Let i = -17.6 + j. Which is the second biggest value? (a) -1 (b) i (c) 1/3 (d) -9 a Let y(w) = w**2 + 5*w + 3. Let o be y(-5). Let f = 757 - 755. Suppose 14 = 3*x + f*d, -x - o*d + 15 = 2*x. Which is the smallest value? (a) -4 (b) x (c) -5 c Let m = 3.523 - 0.523. Which is the smallest value? (a) 4 (b) 6 (c) m c Let u = -217604/128613 + 218/129. Which is the third biggest value? (a) u (b) -4 (c) 1/8 b Let i = 9171 + -9167. Let p = -5 - -7. What is the fourth smallest value in -4, i, 1/3, p? i Let s = -2135/1802 + 39/34. Let u = s - 261/106. Let r = -38.8 + 38.7. What is the biggest value in u, 0.4, -0.2, r? 0.4 Let y = -2888.8 + 2889. What is the third bigges
{ "pile_set_name": "DM Mathematics" }
st the prime factors of n. 2, 409 What are the prime factors of 42/(-70) - 206649/(-15)? 2, 3, 7, 41 Suppose 0 = -10*l + 26 - 6. Suppose 2*p + 2*m - 706 = 0, -1777 = -5*p + l*m - 4*m. What are the prime factors of p? 3, 7, 17 Let w(n) be the second derivative of -n**5/20 + n**4/2 + 5*n**3/6 - n**2/2 - 12*n. Let r be w(7). Let z = -12 - r. List the prime factors of z. 3 Let j be (40/(-12))/(14/6 + -3). Let h be j/(-1) - (4 + -3). Let b(p) = -p**3 - 6*p**2 - 4*p + 2. List the prime factors of b(h). 2, 13 Let v = -716 + 716. Suppose 5*c = -l + 214 + 6668, c - 5*l - 1366 = v. What are the prime factors of c? 2, 43 Let h = 8268 + -237. What are the prime factors of h? 3, 2677 Let q(g) be the second derivative of -27*g**3/2 - 51*g**2/2 - 25*g - 2. List the prime factors of q(-8). 3, 199 Suppose -11*v + 179391 = 4*h, v - 16479 = 5*h - 160. List the prime factors of v. 47, 347 Suppose -3*a - 114 = -0*g - 2*g, 4*a = -3*g - 152. Let r be 5/20*4 - a/2. Let u(l) = -l**3 + 21*l**2 - 16*l - 32. What are the prime factors of u(r)? 2, 3 Suppose -q - 1 = 3*u, 2*u = -2*q + 7*q + 22. Let f be u/(7/7) + 131 + 0. Suppose -3*z = 30 - f. List the prime factors of z. 2, 17 Let t be (-20)/(-3 - -1) + -2. Let u be (-7246)/(-16) - t/(-64). Suppose 0 = 7*p - 4*p - u. List the prime factors of p. 151 Suppose 3*a - 85*i + 39 = -88*i, -4*a - 16 = -5*i. List the prime factors of (a + 229 - 0)*2. 2, 5, 11 Let a(u) = -2*u**3 + 27*u**2 + 289*u - 249. List the prime factors of a(-33). 3, 30497 What are the prime factors of (-262490)/(-45) + (-2)/18? 19, 307 Let o(u) = 178*u - 1443. What are the prime factors of o(78)? 3, 11, 13, 29 Let n = -62 + 96. Suppose -n = -6*r - 4. Suppose 5*y - 316 = 4*q + 394, q = r*y - 725. List the prime factors of y. 2, 73 Let g = -23702 + 40810. Suppose 22*j - 3352 - g = 0. List the prime factors of j. 2, 3, 5, 31 Let o(v) = -41*v**3 + v**2 - 36*v + 73. Let c be o(2). Let i = -8 - 458. Let w = c - i. List the prime factors of w. 11, 13 Suppose -3*w - 452 = w. Let o = w + 111. What are the prime factors of 336/2 + (-4)/(o + 0)? 2, 5, 17 Let s = -169 - -164. List the prime factors of s/(-4) - (-2 + 12285/(-12)). 13, 79 Suppose 92*r - 323748 = 46*r. List the prime factors of r. 2, 3, 17, 23 Suppose -a = -3*b + 111616, -4*b + 62310 + 86516 = a. What are the prime factors of b? 2, 3, 13, 53 Suppose -273*f = -275*f + 21048. What are the prime factors of f? 2, 3, 877 Let b(h) = -20*h**2 + 4*h - 6. Let i = 35 - 38. Let f(u) = -u + 1. Let s(k) = i*f(k) - b(k). What are the prime factors of s(2)? 3 Let k be (-4)/(-26) - (-30285)/117. Let s = -178 + k. Let y = s - 33. List the prime factors of y. 2, 3 Suppose 2*j + j - 42 = 0. Suppose -2*t - 2*z + 4*z + 2 = 0, -z = 2*t - j. Suppose -64 = -4*r + t*k, 2*r - 4*k = -0*r + 38. List the prime factors of r. 11 Suppose -62*g + 3006 = -53*g. Let n = 514 + g. List the prime factors of n. 2, 53 Let k(s) = 52 - s**2 + 15 + 5*s**2 - 2*s**2 - 2*s. Let g = 94 - 94. What are the prime factors of k(g)? 67 Let m(h) = -2*h**2 + 2*h + 791. Let y = -293 - -293. List the prime factors of m(y). 7, 113 Let h = -9500 - -17892. What are the prime factors of h? 2, 1049 Suppose -a = 6 - 48. Suppose 3*m - a = 3. Let t(y) = -y**2 + 17*y + 26. What are the prime factors of t(m)? 2, 7 Suppose 0 = -i + 2*p + 7, 2*p + 7 = -4*i + 15. Suppose 5*r - 1826 = 4*n - 8*n, -i*r = n - 1097. List the prime factors of r. 2, 3, 61 Suppose 244*x = 299*x - 121330. List the prime factors of x. 2, 1103 Suppose -10*l = l - 33. Suppose -10*h + 2415 = -l*h. What are the prime factors of h? 3, 5, 23 Suppose 54*v = 15126 + 12522. Let l = 1405 - v. What are the prime factors of l? 19, 47 Suppose 48136 = 4*o - f, -5*o + 3*f = 5*f - 60183. What are the prime factors of o? 5, 29, 83 Suppose 4*l - f = 408, f + 89 = l + 4*f. Let c = -10 + l. What are the prime factors of c? 7, 13 Let o(j) = 4*j**2 - 5*j + 6. Suppose -y - 4 + 31 = 3*r, -2*r - 5*y = -18. Let k be r + (-4)/(4 + -3). What are the prime factors of o(k)? 3 Let s = 4829 + -4706. Suppose -84 = 3*i - 252. Let b = s - i. What are the prime factors of b? 67 Suppose h + 217 - 15 = 2*s, -2*h + 106 = s. Let g = s - 53. Suppose 0 = n - g - 14. What are the prime factors of n? 3, 7 Let s(n) = -2*n**3 - 15*n**2 + 9*n + 6. Let m = -52 - -53. Let a(l) = l**3 + l**2 - l. Let v(f) = m*a(f) + s(f). What are the prime factors of v(-15)? 3, 37 Let i = 99 + 434. Let q = 784 - i. What are the prime factors of q? 251 Let r be 1278/24 + 3/(-12). Let h be (-4)/16 - -2*r/8. What are the prime factors of 1064/h - 12/(-78)? 2, 41 What are the prime factors of (-2328)/970 + (-43217)/(-5)? 8641 Let l(r) = 0 + 4 + 0 + 6*r - 2. Let w be (1 + 32)*2/6. What are the prime factors of l(w)? 2, 17 Suppose -51*c + 59*c - 47376 = 0. List the prime factors of c. 2, 3, 7, 47 Let c(y) = 7*y**2 + 100*y - 1906. List the prime factors of c(46). 2, 8753 List the prime factors of -17 + 10 + 5 - (2 - 4390 - 1). 41, 107 Suppose -139*i = 10*i - 257205 - 2806086. What are the prime factors of i? 3, 7, 11, 89 Let z(c) = 94*c - 9. Let h be z(-1). Let l = h + 336. What are the prime factors of l? 233 Let o(q) = q**2 + 104*q + 210. Let j be o(-2). Suppose 3*d = -6 + 15. Suppose d*i - b = -j*b + 117, -2*b = 3*i - 108. What are the prime factors of i? 2, 17 Let q(u) = 77*u**3 - 4*u**2 + 8*u - 3. List the prime factors of q(4). 3, 7, 233 Let a be 4 + ((-1 - -10)/(-3) - -3). Let v be a/(-12) + 2262/9. Suppose 3*n + 5*m - 417 = 0, -3*n = m - 166 - v. What are the prime factors of n? 139 Let j(r) = 6*r + 24. Let y be j(0). What are the prime factors of (-22)/2*(y + -133)? 11, 109 Let o = -3 - -11. Let n(s) = 837 - 1774 + 914 + 8*s. List the prime factors of n(o). 41 Let k(i) = -i**3 + 18*i**2 + i - 13. Let a be k(18). Suppose -y - 2 = 3*m - 3, a*y = 5. Suppose m = -3*v + 213 + 174. What are the prime factors of v? 3, 43 Let k(x) = -3*x**3 - 2*x**2 + 5*x - 5. Let c be k(2). List the prime factors of 12/(-27) - (6 + 12810/c). 2, 3, 13 Suppose -9*c = 2115 - 405. Let k = 77 - c. List the prime factors of k. 3, 89 Let w(u) = 8*u**3 + 10*u**2 - 131*u - 17. What are the prime factors of w(11)? 2, 5, 13 Suppose -5*h - 12 = 7*h. Let a be 8*h/(-2) + 384. Let d = -194 + a. What are the prime factors of d? 2, 97 Let f = 1364 + -1071. List the prime factors of f. 293 Suppose -4*v + z + 6 = -3, 2*v + z = 9. Let q(x) = 28*x**2 + x + 6. What are the prime factors of q(v)? 3, 29 Let m be 1/(-4) + (-232)/(-32). Let o be 4/(-28) - 13/m. What are the prime factors of o/3 + (-718)/(-6)? 7, 17 Let f = 66128 - 36875. List the prime factors of f. 3, 7, 199 Let g(h) = -315*h - 2850. What are the prime factors of g(-58)? 2, 3, 5, 257 Suppose -4*r = 7*k - 11*k - 100, 5*r - k - 145 = 0. Let j(d) = -d**3 + 30*d**2 + 15*d + 6. What are the prime factors of j(r)? 2, 3, 19 Let p be 4745/(-20)*4*3. Let i = p - -4080. What are the prime factors of i? 3, 137 Suppose 3*w + 26237 = 2*h - 2*w, -4 = 4*w. List the prime factors of h. 2, 3, 1093 Let n(m) be the second derivative of m**5/10 - 3*m**3/2 - 20*m**2 + 17*m. Let t(u) be the first derivative of n(u). What are the prime factors of t(-4)? 3, 29 Let h = 93 + -90. Suppose -22*g - h*b - 810 = -25*g, 0 = -g - 3*b + 266. What are the prime factors of g? 269 List the prime factors of 4 - (-2 - 147/(-24)) - 941703/(-56). 2, 1051 Suppose 22643*a - 97614 = 22637*a. What are the prime factors of a? 3, 11, 17, 29 Let h(b) = 67*b + 4583. What are the prime factors of h(-58)? 17, 41 Let i = -96 + 98. Suppose 7*a - 4*a + s - 617 = 0, 0 = -i*a + 5*s + 400. Let z = 373 - a. List the prime factors of z. 2, 3, 7 Suppose -4*u - 183 = -7*k + 2*k, -2*k + 62 = 4*u. Let f = k + -23. What are the prime factors of (-1 + 69/9)*f? 2, 5 Let z(u) be the first derivative of 5*u**2/2 + 26*u - 1362. Let a be (-18)/(0 + -1 + 0). List the prime factors of z(a). 2, 29 List the prime factors of (-264)/(-4 + (-46)/(-12)) + (-70)/(-14). 7, 227 Let l(k) = 5*k + 31. Let o be l(-7). What are the prime factors of 838 + (-28)/(0 + o)? 5, 13 Let m be (-1 - (-2 - (0 + -1)))*1. Suppose 4*q - 2*z - 158 = 0, -3*q - z - 2*z + 141 = m. List the prime factors of (822/(-9))/(4 + q/(-9)). 137 Let g(k) = -k**2 - 10*k - 14. Let s be g(-8). Let h be -2*s*(-9 + 8). List the prime factors of 1156/16 + (-
{ "pile_set_name": "DM Mathematics" }
t value in m, -5, u? u Let l = -1219.8 + 1220. What is the fourth smallest value in 2, 0, l, 4? 4 Let d be 32/(-88) - 2/(-11). Let i = 19 + -11. Let v = i + -11. Which is the second biggest value? (a) v (b) d (c) -2/3 c Let a(c) = 4*c**2. Let z be a(1). Let m be z/14 + (-8)/14. Let f = -56 + 55.8. What is the second biggest value in f, m, -1/4? -1/4 Let x be (-1 + 14/(-4))*(-9)/27. Let z = -3 - -3.2. What is the smallest value in -28/3, z, x? -28/3 Let i = -113/55 - -27/11. Suppose -4 - 8 = -4*d. What is the smallest value in d, 1.3, i? i Let g = 5.68 - 5.38. What is the second biggest value in -8/9, g, -0.1? -0.1 Let i be (-1680)/490 - 2*(0 - 1). Which is the third biggest value? (a) -1/2 (b) -0.1 (c) -3 (d) i d Suppose 4*s + 20 = 4. What is the second smallest value in -0.5, 0.1, s, 0? -0.5 Let j = -3 - 0. Let i = 601.3 - 671.23. Let u = 70 + i. What is the third smallest value in j, -0.5, u? u Let v(o) = o**2 + 2*o - 22. Let n be v(-6). Let u be (1/4)/((-15)/18). What is the third smallest value in 5/4, u, n? n Suppose -39*f = -51 - 27. What is the second biggest value in 1/6, -1, 8, f? f Let l = -493 - -495. What is the biggest value in -0.1, -361, -4, l? l Let n = 1/7842 + -2540815/54894. Let x = -46 - n. Which is the biggest value? (a) 1 (b) 0.2 (c) x a Let i be (-2)/3 - 12/54*-30. Which is the fourth biggest value? (a) i (b) 1 (c) 0.1 (d) 2/9 c Let v = -291 - -293. Which is the second smallest value? (a) v (b) 4 (c) 5 b Let a = 21 + -37. Let l = a + 15.57. Let h = l - -0.23. What is the second smallest value in 0.1, h, -2? h Let l be 4 + -3 + 7/(-5). Let y = 6.9 + -4.9. What is the third biggest value in l, y, -2/15? l Let p = -1 - 1. Let h = 173 + -173.06. Which is the second smallest value? (a) h (b) p (c) -0.1 c Let f = 0.09 - 0.27. Let x = 0.09 + f. Let u = x + 0.39. What is the third biggest value in u, -2, -0.1? -2 Let m = 0 - -0.4. Suppose 3*s = 5*k - 4*k + 13, 0 = -4*k - s. Let g be (3 + k)*(-2)/9. Which is the smallest value? (a) g (b) -0.2 (c) m a Let f = -4 + -1. Let s = -82 - -85. Which is the smallest value? (a) f (b) s (c) 0.3 (d) 0.1 a Let f = 52.923 + 0.077. Let x = -31 + f. Let z = -22 + x. What is the second smallest value in z, 5, -0.2? z Let f = 32 - 8. Let s be 2/12*f/18. Let n be (-7)/((-735)/25)*(-4)/(-10). Which is the second smallest value? (a) n (b) s (c) -0.5 a Suppose -22*i + 17*i + 10 = 0, 0 = -2*w + 5*i - 18. Let y(d) = 2*d. Let g be y(2). Let b be 42/(-10) - (14 + -18). What is the smallest value in g, b, w? w Let q be 0/(-2) + ((-80)/(-45))/(-8). Let n = -148 - -152. Which is the second smallest value? (a) q (b) n (c) -2 (d) -1 d Let c = 48 - 48.5. Let g = -46.2 + 46. What is the third biggest value in c, g, 0.2? c Let u = 15 + -11. Let d = 75.5 + -70.5. What is the second biggest value in u, 10, d? d Let s be (4/(-14))/((-720)/(-182) - 4). Let v = s - 41/6. What is the second biggest value in -0.5, 2/75, v? v Let k(m) = -m**3 - 4*m**2 - 2*m - 3. Let f be k(-4). Suppose -7*n - 109 = -116. Which is the smallest value? (a) -4 (b) 0 (c) f (d) n a Let x = 1/1738 + -1741/5214. What is the third biggest value in 16, x, -0.3, 3? -0.3 Suppose -k + 2*k + 3 = 0. Let m = -241 - -243. Which is the third biggest value? (a) 5 (b) m (c) -4/7 (d) k c Let b = -817/17370 - -1/386. What is the biggest value in 4, 1/3, b? 4 Let s = -0.03 - -0.43. Let m = -0.26 + -0.04. Let k = m + 0.5. Which is the second biggest value? (a) s (b) k (c) -0.4 b Let n = -0.16 - 1.84. Which is the third smallest value? (a) 0.1 (b) n (c) -1 a Let t = -0.92 + -2.08. What is the biggest value in 5, 2, t, -3/8? 5 Let b = 47 - 42. Let f = -2 + 0. What is the second smallest value in b, f, -1/6? -1/6 Let n = 6 - 4. Let y = 1 + n. Let t be -11 + 341/33 - 13/(-6). Which is the third smallest value? (a) y (b) -0.2 (c) t a Let d = 3196 - 3195. Let o be 1/2*-2*5. What is the third biggest value in 3, 2, d, o? d Let x(z) = -64*z + 574. Let q be x(9). Which is the smallest value? (a) 4 (b) -57 (c) q b Let o = 1570 + -1570.4. Which is the third smallest value? (a) -2/3 (b) -1 (c) 0.4 (d) o d Let c = -626.6 - -627. What is the third biggest value in -321, 2/13, c? -321 Let t be (30/8)/(20/8). Which is the fourth biggest value? (a) 7 (b) -3/2 (c) t (d) -1.2 b Let d be (-285)/30 - -11 - (-5)/(-2). Which is the second biggest value? (a) d (b) -10 (c) -5 c Let g = -100 + 96. What is the fourth biggest value in -5, g, 5, 4? -5 Let i = 10.1 + -44.1. Let v = 26.7 + 4.3. Let s = v + i. What is the second biggest value in s, 1/5, -1.6? -1.6 Let u = 0.846 + -0.546. What is the third biggest value in -140, 4, u, -0.3? -0.3 Let j = 1.4 + 0.6. Let n = -8.3 - -2.3. Which is the third smallest value? (a) -4 (b) n (c) j c Let i = -35 + 41. Suppose u = u + i*u. What is the third biggest value in 3, -1/8, u? -1/8 Let d be 0 + 1 + 0 + 4191/(-2394). Let n = d - -11/14. Which is the third smallest value? (a) n (b) -3/2 (c) -0.5 a Let g = -0.8 - -1.2. Let u = -4.783 - 0.217. What is the second biggest value in -0.04, g, u? -0.04 Let l be 15 + (-1708)/168 - 3/(-18). Let m be 2/5 - 6/(-10). Let h = -1 + m. Which is the biggest value? (a) l (b) -2 (c) h a Let m = 4.365 - 0.365. What is the second smallest value in -4, -8, m? -4 Suppose -3*q + 2 = 2*i - 2, -3*q + 2*i + 8 = 0. Let w = -3 + q. Let m be w/(2*27/12). Which is the third biggest value? (a) 1/6 (b) 3 (c) m c Let p = -15.5 - -10.5. Let h = 0 - 0.4. Which is the third biggest value? (a) p (b) h (c) 0.7 a Suppose -51 = 18*o + 3. What is the second smallest value in -2, 1/6, o, -1/4? -2 Let q = 72 + -73. What is the fourth smallest value in -1/6, 4, q, 0.37? 4 Let u = -0.62 + 0.6. Let h = -0.22 - u. Let p = 73 - 71. What is the smallest value in h, -0.5, p? -0.5 Let o = 6.4 - 6. Let s(t) be the second derivative of -5*t**3/6 - 19*t**2 - 35*t. Let d be s(-7). What is the smallest value in d, o, 1? d Let l = 121.165 - -0.135. Let n = l - 121. Which is the second biggest value? (a) n (b) -2/9 (c) 0.04 c Let q = 288 - 432. Let p = q + 149. Which is the biggest value? (a) 3 (b) -1 (c) -3 (d) p d Let d = 51311/6 + -8620. Let x = d - -68. Let p = 6 - 7. Which is the third biggest value? (a) p (b) 1/3 (c) x a Let d(j) = -37*j - 183. Let s be d(-5). Which is the biggest value? (a) -4 (b) 0.28 (c) s c Suppose 0 = 2*x - 2*p - 1 + 5, 0 = -2*x - 3*p + 6. Suppose 0 = -x*t - 3*t - 3*r + 12, -t + 5*r = 26. What is the third biggest value in 2/5, -0.03, t? t Let y = 1.12 - -1.88. Let r = 5 + -4.7. Which is the third biggest value? (a) -4/3 (b) r (c) y a Let u = 631 + -624. What is the second biggest value in u, -0.5, -1/7, 3/8? 3/8 Let d = -1.2 - -1. Let m = 13 + 1.5. Let g = 15 - m. Which is the second biggest value? (a) g (b) -0.5 (c) d c Let d = 1083 + -1083. What is the second smallest value in d, -215, 2? d Let k = -1/5316 - 3541/15948. Let j = 39/145 + -2/29. Which is the third biggest value? (a) k (b) -0.2 (c) j (d) -5 a Suppose -3*d - 18 = v, -27*v + 10 = -32*v + d. What is the third biggest value in 5, v, -2/9, -2/7? -2/7 Let i = -0.171 - 0.329. Let r be -2*(1 - (5 - 3)). Which is the fourth smallest value? (a) 3/5 (b) r (c) i (d) -2/3 b Suppose -2*h = -3*p + 5, 4*h - 6*p + 5 = -p. Let f = 0.166 + 1.834. What is the fourth biggest value in 0.5, f, 0.2, h? 0.2 Let w = 2.33 + -1.9. Let s = -6.33 + w. Let h = s - -6. Which is the third smallest value? (a) 0.4 (b) -0.1 (c) h a Let l = -0.1 + -1. Let p = l + -2.9. Which is the third biggest value? (a) -1 (b) 8 (c) p c Let k = 420 - 420.3. What is the second biggest value in k, -1, -3? -1 Let i = 53.8 + -54. Which is the second smallest value? (a) 15 (b) i (c) 0.1 c Let s = 2.3 + -2. Let x = 7.92 - -0.08. Let z = x - 9. Which is the third biggest value? (a) z (b) 0.5 (c) s a Let p(t) = t**3 + 11*t**2 + 7*t - 18. Let q be p(-10). Let m be (14/35*-5)/(q - 1). What is the fourth smallest value in 4, 3/8, -1/7, m? 4 Let z = 1.3 - 1.16. Let w = z + 0.06. Let i = 0.9 - 1.1. What is the biggest value in -1, i, w? w Let t = -33 - -26. Let y = -12 - t. Which is the third smallest value? (a) 0.6 (b) 5 (c) y b Let h = 29.1 + -43.1. Let u = -26 - -12. Let v = h - u. What is the bi
{ "pile_set_name": "DM Mathematics" }
What is the greatest common factor of 56 and 38094? 14 Calculate the highest common divisor of 2838 and 8184. 66 Calculate the greatest common divisor of 19886 and 5978. 122 What is the greatest common factor of 806848 and 21? 7 What is the greatest common divisor of 2644650 and 54? 54 Calculate the highest common factor of 17200 and 39044. 172 What is the greatest common divisor of 3681 and 276893? 409 Calculate the highest common divisor of 85032 and 2088. 72 What is the greatest common factor of 3604 and 476? 68 What is the greatest common divisor of 75887 and 777? 259 Calculate the greatest common factor of 6213 and 1653. 57 What is the highest common factor of 319888 and 16? 16 Calculate the greatest common factor of 700 and 43100. 100 What is the highest common factor of 2474010 and 54? 54 What is the highest common factor of 13408 and 84638? 838 Calculate the greatest common factor of 4 and 1137908. 4 Calculate the highest common divisor of 16646 and 1414. 14 What is the greatest common factor of 222 and 149406? 222 Calculate the greatest common factor of 14833 and 1793. 163 Calculate the highest common divisor of 7003064 and 148. 148 What is the highest common divisor of 9 and 471819? 3 What is the greatest common divisor of 324742 and 232? 58 What is the highest common divisor of 533 and 383309? 41 Calculate the greatest common factor of 4585989 and 723. 723 Calculate the highest common factor of 336 and 11728. 16 What is the highest common factor of 68780 and 665? 95 What is the highest common factor of 160 and 1931260? 20 Calculate the highest common factor of 18915 and 795. 15 What is the greatest common factor of 48 and 41892? 12 Calculate the greatest common factor of 4981160 and 40. 40 Calculate the highest common divisor of 175 and 21287. 7 What is the greatest common factor of 410078 and 5306? 758 Calculate the greatest common factor of 5532966 and 8046. 2682 What is the highest common factor of 430552 and 8? 8 Calculate the greatest common factor of 48011 and 41. 41 What is the highest common factor of 53853 and 261? 87 What is the highest common factor of 5916 and 276? 12 Calculate the highest common factor of 34828 and 4. 4 What is the greatest common factor of 4246 and 363? 11 What is the highest common divisor of 419015 and 463? 463 What is the greatest common factor of 7381 and 2623? 61 What is the greatest common factor of 3249 and 969? 57 Calculate the highest common factor of 342883 and 164. 41 What is the highest common factor of 1032 and 1092? 12 Calculate the greatest common divisor of 47768 and 1456. 56 What is the greatest common divisor of 4 and 84820? 4 What is the highest common divisor of 3450 and 67758? 138 What is the greatest common factor of 286905 and 465? 465 Calculate the greatest common factor of 370 and 8843. 37 What is the greatest common divisor of 1903 and 13667? 173 What is the greatest common factor of 1589 and 9761? 227 Calculate the highest common factor of 407 and 25971. 11 Calculate the greatest common factor of 396 and 21516. 132 What is the greatest common factor of 49 and 37? 1 Calculate the highest common divisor of 738311 and 21. 7 Calculate the highest common factor of 31203 and 15. 3 What is the greatest common divisor of 99018 and 162? 18 What is the highest common factor of 14010 and 750? 30 Calculate the highest common divisor of 4851 and 2070054. 441 What is the greatest common factor of 369 and 1012659? 123 Calculate the highest common factor of 102 and 1572. 6 Calculate the greatest common divisor of 278 and 397957. 139 What is the highest common divisor of 8133749 and 403? 403 What is the greatest common divisor of 9231 and 8869? 181 Calculate the greatest common factor of 216 and 100728. 72 Calculate the highest common factor of 38642 and 4. 2 What is the highest common factor of 36 and 24534? 18 What is the greatest common factor of 5607 and 612? 9 What is the highest common divisor of 2000 and 650? 50 Calculate the greatest common factor of 4048 and 10978. 22 What is the highest common factor of 5 and 60205? 5 Calculate the greatest common divisor of 750 and 903250. 250 Calculate the greatest common factor of 204 and 33728. 68 Calculate the greatest common factor of 146363 and 309. 103 What is the greatest common factor of 6656 and 154856? 104 What is the greatest common divisor of 26600 and 36050? 350 What is the greatest common divisor of 1332 and 5892768? 1332 Calculate the greatest common factor of 2409 and 2877149. 803 Calculate the greatest common divisor of 112 and 49744. 16 What is the highest common factor of 6835 and 65? 5 Calculate the greatest common factor of 121343 and 10. 1 What is the highest common divisor of 139 and 329291? 139 What is the highest common divisor of 9 and 33309? 9 What is the highest common factor of 4070 and 66970? 370 Calculate the greatest common divisor of 13297148 and 43. 43 Calculate the greatest common divisor of 429 and 235235. 143 What is the highest common factor of 17066 and 43148? 322 Calculate the highest common factor of 4 and 29996. 4 What is the highest common factor of 75396 and 488? 244 Calculate the highest common factor of 154 and 270578. 154 Calculate the greatest common divisor of 2148 and 196. 4 Calculate the greatest common divisor of 600049 and 47. 47 What is the greatest common divisor of 134 and 450441? 67 Calculate the greatest common divisor of 1524 and 2604. 12 Calculate the highest common factor of 42957 and 555. 111 Calculate the greatest common factor of 144060 and 300. 60 What is the highest common factor of 1368 and 26424? 72 Calculate the greatest common divisor of 31720 and 640. 40 Calculate the highest common factor of 11363 and 242. 11 Calculate the highest common divisor of 2498595 and 285. 285 Calculate the greatest common factor of 40 and 2828690. 10 Calculate the greatest common factor of 23260 and 30. 10 Calculate the highest common divisor of 7990 and 37600. 470 Calculate the highest common factor of 1677 and 10621. 559 Calculate the greatest common factor of 8 and 3245432. 8 Calculate the highest common divisor of 282 and 17460. 6 What is the greatest common factor of 47035 and 90? 5 What is the greatest common divisor of 72350 and 30? 10 What is the highest common factor of 1565368 and 56? 56 What is the greatest common divisor of 32415 and 185? 5 What is the highest common factor of 95 and 203015? 95 Calculate the highest common divisor of 134 and 277246. 134 What is the greatest common divisor of 4010968 and 104? 104 What is the greatest common factor of 61842 and 1650? 66 Calculate the greatest common factor of 19 and 323171. 19 What is the greatest common divisor of 177562 and 154? 154 Calculate the greatest common divisor of 12738 and 6864. 66 Calculate the highest common divisor of 203810 and 712. 178 What is the greatest common factor of 1840 and 1160? 40 Calculate the highest common factor of 2125 and 6035. 85 What is the highest common factor of 576 and 75104? 32 What is the highest common divisor of 33085 and 104? 13 What is the highest common divisor of 9186563 and 43? 43 What is the greatest common divisor of 2337 and 6273? 123 What is the greatest common factor of 19 and 59261? 19 Calculate the greatest common factor of 2 and 16811. 1 Calculate the greatest common divisor of 16899 and 2451. 129 What is the greatest common divisor of 3369 and 33? 3 What is the highest common divisor of 43344 and 86? 86 Calculate the greatest common divisor of 53522 and 84. 14 What is the greatest common divisor of 136 and 17792? 8 What is the greatest common factor of 2403 and 837? 27 What is the highest common divisor of 182858 and 494? 26 Calculate the highest common divisor of 23940 and 225. 45 Calculate the greatest common divisor of 86 and 858839. 43 What is the greatest common factor of 1583432 and 172? 172 What is the highest common divisor of 696 and 469800? 696 Calculate the greatest common factor of 642 and 6848. 214 What is the greatest common factor of 1805044 and 3732? 1244 What is the highest common divisor of 8 and 3204? 4 What is the greatest common divisor of 39785 and 265? 5 Calculate the greatest common divisor of 19664 and 6752. 16 Calculate the greatest common factor of 2273
{ "pile_set_name": "DM Mathematics" }
common multiple of v and b? 16 Let v = 4826 + -77157/16. What is the common denominator of (-2)/3 + (-1556)/(-120) and v? 80 Let a = -953/9 + 106. Calculate the common denominator of a and 2/40*-3*(-35)/(-18). 72 Find the common denominator of (-18)/(-6) - 73/11 and 118/4*12/54. 99 Let j = -835121874709/2633447960 - 348/5064323. Let u = -2523/8 - j. Let p = 2/13 + u. Find the common denominator of p and 55/14. 70 Let s be (-123045)/15012 + (-4)/(-16). Let j = s + 8/139. What is the common denominator of 2/24*129/2 and j? 72 Calculate the lowest common multiple of 16 and -4*(-8)/(-8)*-18. 144 Suppose z + 6 = -3*p, p = 2*p + 5. Suppose 3*b - 4 = a + 2*b, -2*a + 3*b - 13 = 0. What is the lowest common multiple of z and a? 9 Let n = 62 - 37. Suppose 15 = u - 3*j, j + 4*j + n = 5*u. Suppose -x - 5 + 13 = u. What is the smallest common multiple of x and 1? 8 Let y = -91 + 91. Suppose 49*r - 52*r + 21 = y. What is the smallest common multiple of r and 5? 35 Let y be (-44)/110 + (-951)/10. Let u = -128 - y. Find the common denominator of -63/8 and u. 8 Let k(o) = -o**2 + 10*o - 7. Let w be k(9). Let l = 5 - 0. Suppose -l*j = w - 57. What is the smallest common multiple of j and 7? 77 Let c be 2704/((-6)/6)*(-2)/(-3). Let i = c - -1785. What is the common denominator of i and 74/15? 15 Let b(c) = -c + 5. Let z be b(2). Suppose z*n - 5*r + 340 = 0, -r + 232 = -2*n + 10. Find the common denominator of 41/14 and (n/72)/1*-2. 126 Suppose 603 - 19 = 4*r. What is the least common multiple of r and 16? 1168 Let i(l) = 2*l + 1. Let x be i(-3). Calculate the lowest common multiple of 11 and x/((-10)/8) - -27. 341 Suppose -3*o - 100 = o. Let m = -22 - o. Calculate the smallest common multiple of -4 - -8 - (-6)/3 and m. 6 Suppose -3*j + 4*j + m + 92 = 0, 0 = -2*j - m - 180. Suppose -17 - 8 = -3*r - 2*q, 3*r - 5*q = 32. Find the common denominator of ((-6)/r)/(j/318) and -181/30. 330 Suppose -4*d - 16 = -0*d, 2*o - d = -16. What is the common denominator of (o/(-6))/((-5)/(-2)) and (-190)/28 + (-6)/(-21)? 6 Let p = 30768/751 + 252918531/16522. Let s = 15353 - p. Find the common denominator of s and ((-67)/(-1))/(-19 + 1). 198 Suppose 18*q - 34*q + 30752 = 0. What is the lowest common multiple of q and 2? 1922 Suppose 0 = -2*y + 5*s + 207, -5*y - 3*s + 255 = -309. Suppose -3*m = -y + 39. Let t = -7 - -27. Calculate the lowest common multiple of t and m. 120 Let u = -43 + 12. What is the common denominator of ((-4)/34)/((-6)/u) and 25/6? 102 Calculate the common denominator of (-9)/6*(-19)/(105108/(-328)) and 45/4. 1844 Suppose 2*p + 12 + 16 = -3*r, -4*r - 39 = 3*p. Let f = -2 - r. Calculate the lowest common multiple of f and (-16)/(-6)*(-8 - 171/(-18)). 4 What is the common denominator of (7*4)/((-60)/((-36)/9)) and -137/6? 30 Suppose 0 = 2*w - 3*i - 22, 6*i = 5*w + i - 50. Suppose 2*a - 29 - 3 = 0. What is the lowest common multiple of a and w? 16 Let g be 4635/(-1524) + 2 + 1. Let r = 20343/5588 - g. Let a = -1145/2 - -611. Calculate the common denominator of r and a. 22 Let r = 18 + -11. Suppose -r + 15 = k. Calculate the least common multiple of 1 and k. 8 What is the least common multiple of ((-54)/45)/(1/(-75)) and 90? 90 Let h = 1788 - 28649/16. Find the common denominator of h and 6 - 11 - 110/12. 48 Suppose -2*t + 104 = 2*t. Suppose -u + 34773 = h - 4*u, -5*h = u - 173913. Let s = 834653/24 - h. Calculate the common denominator of t and s. 24 Let r = -12 + 2. Suppose 0 = 4*m - l - 2*l - 3, 5*l - 21 = -2*m. What is the lowest common multiple of m and (-86)/r - (-8)/20? 9 Suppose -4*o - 3 + 19 = 0. Let q(h) = h**3 + 8*h**2 - 15*h - 48. What is the lowest common multiple of q(-9) and o? 12 Let p = 2/8105 + 413239/470090. Calculate the common denominator of 59/6 and p. 174 Let f(q) = 9*q + 346. What is the lowest common multiple of f(-36) and 14? 154 Let k = -2 + -6. Suppose -5*x - 2*w - 1093 - 2777 = 0, -3*x = -2*w + 2322. Find the common denominator of 61/3 and k/(-52) - x/(-130). 15 Let i = -18305/9 + 2039. Find the common denominator of -133/18 and i. 18 Let c = 42/61 + 1643/183. Calculate the common denominator of c and (-3572)/95*(4/(-16))/1. 15 Suppose -x = -3*x - 292. What is the common denominator of x*((-70)/(-24) + -3) and (-3 - -5) + (-11)/(-4)? 12 Let l = 648961/1540 - 4644/11. What is the common denominator of l and -79/28? 140 Suppose 6*p - 2*p - 76 = 0. Suppose 4*l = -p + 239. What is the common denominator of 59/3 and ((-8)/20)/((-5)/l)? 15 Let t = -18541/132 + 1524/11. Calculate the common denominator of t and -91/24. 24 Let k(i) = 2*i + 2. Let g be k(-2). Let p be ((-1)/(-2))/(g/(-4)). What is the lowest common multiple of p/(-3)*-9 - 0 and 2? 6 Suppose r + 22 = -2*z, -4*z + 44 - 8 = -2*r. Let t = r + 30. What is the smallest common multiple of -4 - ((-2)/9 + 932/(-18)) and t? 240 Suppose 2*p = 3*p - 10. Let u be 4/6 - (-4)/3. Suppose -c = u*c - 12. Calculate the least common multiple of c and p. 20 Let h = -6 - -14. Calculate the least common multiple of h and 4*((-376)/(-32) - 11). 24 Suppose -19*r + 20*r = 150. What is the smallest common multiple of r and 66? 1650 Let n be 1*6 - (9 - 6). Suppose -n*t + 15 = -0*t. What is the lowest common multiple of 1 + 15 + (3 - 0) and t? 95 Find the common denominator of 9 + 1 + -9 - 20/33 and 39/5. 165 Let l be (2/3)/((-350)/1623). Let k = l + -112/25. What is the common denominator of (33 + -35)*(50/(-6))/(-5) and k? 21 Let h be -1 - (0 - (-3670)/(-12)). Let v = 34349969/110826 - 11/18471. Let i = h - v. What is the common denominator of -13/3 and i? 9 Let j(m) = -m**2 - 14*m + 8. Let i be j(-12). Suppose h = -3*h + i. Suppose -5*s + 3*o + 148 = -o, 2*o = s - 32. Calculate the least common multiple of h and s. 56 Let u be (-84)/(((-5)/(-1))/(-5)). Let j = -81 + u. Calculate the smallest common multiple of 3 and j. 3 Let n be (-2)/(-3) - 8/12. Suppose n = -6*i + 89 - 17. What is the smallest common multiple of i and 20? 60 Let p(r) = -17*r + 19. Calculate the lowest common multiple of p(-6) and 33. 363 Suppose 0 = 28*n + 163 - 415. What is the least common multiple of 169 and n? 1521 Let q(b) = b**3 - 9*b**2 + 8*b + 6. Let g be q(8). Suppose 9*a - 132 = g*a. What is the common denominator of -3 - 1*(-262)/a and -73/28? 308 Let y(h) = 2*h + 11. Let z be y(-8). Calculate the least common multiple of 4 and (z/15 + 0)*-12. 4 Suppose 3*l + 12 = 0, 0*l - 3 = 5*y + 2*l. Let u(n) = 2*n**2 - 25*n + 14. What is the least common multiple of u(12) and y? 2 Suppose -23 = -4*z + 3*g, 5*z - 3*z + g + 1 = 0. What is the common denominator of 27/5 and z/(-8)*(-22)/(-3)? 30 Suppose -m + 9 = 2*l, 5*l = m - 0*l - 23. Suppose 3*z - m = -5*j, 0 = 4*z + z - j - 31. Calculate the least common multiple of z and 30. 30 Let l(h) = -185*h**3 + h**2 - 2*h + 2. Let v be l(3). Let r = 2721607 + -54332431/20. Let s = v + r. What is the common denominator of -109/6 and s? 60 Let h(b) = 3*b - 6. Let s be h(3). Suppose 4*o - s*x - 5 = -6, 1 = -x. Let v = 4 - o. Calculate the smallest common multiple of 13 and v. 65 Let a = 19 - 13. What is the lowest common multiple of ((-4)/(-6))/(282/54 + -5) and a? 6 Find the common denominator of -2 - 5 - 24710/(-3724) and -19/8. 1064 Suppose 0 = 3*c - 2*r - 151 - 395, 196 = c + 4*r. What is the least common multiple of 1 and c? 184 Suppose 3*v - 71 = 61. What is the smallest common multiple of ((-3)/(-6))/(4 + (-174)/v) and 11? 11 Let i be 33/(-44) + (1 - (-7913522)/440). Let r = -17985 + i. What is the common denominator of r and -51/5? 55 Let i be -3*(0 - 40/12). Let f = -1293559/327118 - 2/14869. What is the common denominator of f and 77/i + (-3 - 0)? 110 Let g(f) = -9*f + 3. Let j be g(-2). Find the common denominator of 51/8 and 1/(-3) - ((-1)/j - -2). 56 Find the common denominator of (44/110)/(24/(-610)) and -5 - -1 - (-108)/(-8). 6 Let k be (-1 - 1651) + (-20)/(-90). Let x = 1654 + k. What is the common denominator of -64/21 and x? 63 Find the common denominator of 87/200 and 41/123*(-111)/(-4). 200 Let z = -3814449 + 1304546407/342. Let l = 300/19 - z. Calculate the common denominator of l and 291/6*(-47)/470. 180 Let g be (-221)/(-4) - (-2)/6. Let i = 163/3 - g. Let m = 4375/208 - 232/13. What is the common denominator of m and i? 16 Suppose w + 12778 = 6*k - 7*k, -k = -3*w - 383
{ "pile_set_name": "DM Mathematics" }
nearest integer? 1447 What is 4788284 to the power of 1/2, to the nearest integer? 2188 What is 3814994 to the power of 1/3, to the nearest integer? 156 What is 54069 to the power of 1/7, to the nearest integer? 5 What is the fifth root of 1105735 to the nearest integer? 16 What is the square root of 3011199 to the nearest integer? 1735 What is the square root of 3735927 to the nearest integer? 1933 What is the cube root of 3972828 to the nearest integer? 158 What is the eighth root of 557335 to the nearest integer? 5 What is 936453 to the power of 1/3, to the nearest integer? 98 What is the square root of 117159 to the nearest integer? 342 What is 421645 to the power of 1/8, to the nearest integer? 5 What is 7065952 to the power of 1/2, to the nearest integer? 2658 What is the cube root of 205376 to the nearest integer? 59 What is the square root of 1002623 to the nearest integer? 1001 What is 3068771 to the power of 1/3, to the nearest integer? 145 What is the seventh root of 656114 to the nearest integer? 7 What is 634326 to the power of 1/9, to the nearest integer? 4 What is the eighth root of 481997 to the nearest integer? 5 What is the square root of 184637 to the nearest integer? 430 What is the cube root of 960812 to the nearest integer? 99 What is the square root of 1705912 to the nearest integer? 1306 What is 99864 to the power of 1/2, to the nearest integer? 316 What is the square root of 330058 to the nearest integer? 575 What is 321804 to the power of 1/2, to the nearest integer? 567 What is the eighth root of 22037352 to the nearest integer? 8 What is the third root of 176168 to the nearest integer? 56 What is the cube root of 8478 to the nearest integer? 20 What is 9928222 to the power of 1/8, to the nearest integer? 7 What is the third root of 1280543 to the nearest integer? 109 What is the square root of 47581 to the nearest integer? 218 What is 2019720 to the power of 1/2, to the nearest integer? 1421 What is 2685624 to the power of 1/3, to the nearest integer? 139 What is the third root of 7183191 to the nearest integer? 193 What is the square root of 402529 to the nearest integer? 634 What is 285678 to the power of 1/2, to the nearest integer? 534 What is the third root of 12361748 to the nearest integer? 231 What is 4720613 to the power of 1/8, to the nearest integer? 7 What is 3516266 to the power of 1/2, to the nearest integer? 1875 What is 1574848 to the power of 1/6, to the nearest integer? 11 What is 110700 to the power of 1/10, to the nearest integer? 3 What is 356822 to the power of 1/5, to the nearest integer? 13 What is 637136 to the power of 1/6, to the nearest integer? 9 What is the third root of 2607144 to the nearest integer? 138 What is 3284901 to the power of 1/2, to the nearest integer? 1812 What is the fourth root of 90588 to the nearest integer? 17 What is the square root of 871090 to the nearest integer? 933 What is 594934 to the power of 1/2, to the nearest integer? 771 What is 440382 to the power of 1/2, to the nearest integer? 664 What is the third root of 1377217 to the nearest integer? 111 What is 596821 to the power of 1/2, to the nearest integer? 773 What is the fourth root of 26308529 to the nearest integer? 72 What is 869041 to the power of 1/3, to the nearest integer? 95 What is 22486 to the power of 1/8, to the nearest integer? 3 What is the square root of 11152 to the nearest integer? 106 What is the square root of 3607285 to the nearest integer? 1899 What is 4432413 to the power of 1/3, to the nearest integer? 164 What is the sixth root of 885959 to the nearest integer? 10 What is the third root of 208737 to the nearest integer? 59 What is 143557 to the power of 1/6, to the nearest integer? 7 What is 42895969 to the power of 1/7, to the nearest integer? 12 What is the ninth root of 239278 to the nearest integer? 4 What is 6606995 to the power of 1/5, to the nearest integer? 23 What is the third root of 32010 to the nearest integer? 32 What is 3382383 to the power of 1/3, to the nearest integer? 150 What is 1362970 to the power of 1/2, to the nearest integer? 1167 What is the ninth root of 843268 to the nearest integer? 5 What is 320243 to the power of 1/2, to the nearest integer? 566 What is the cube root of 549459 to the nearest integer? 82 What is the eighth root of 9820851 to the nearest integer? 7 What is the square root of 148585 to the nearest integer? 385 What is 5788770 to the power of 1/5, to the nearest integer? 23 What is 37969 to the power of 1/4, to the nearest integer? 14 What is 107092 to the power of 1/2, to the nearest integer? 327 What is 2518377 to the power of 1/2, to the nearest integer? 1587 What is 334284 to the power of 1/2, to the nearest integer? 578 What is 2589166 to the power of 1/5, to the nearest integer? 19 What is the seventh root of 27798751 to the nearest integer? 12 What is 875032 to the power of 1/2, to the nearest integer? 935 What is 964462 to the power of 1/2, to the nearest integer? 982 What is 2497326 to the power of 1/10, to the nearest integer? 4 What is 2590717 to the power of 1/5, to the nearest integer? 19 What is 15306385 to the power of 1/3, to the nearest integer? 248 What is 5614251 to the power of 1/6, to the nearest integer? 13 What is the fifth root of 29672420 to the nearest integer? 31 What is 2686430 to the power of 1/2, to the nearest integer? 1639 What is the square root of 3748598 to the nearest integer? 1936 What is 440742 to the power of 1/2, to the nearest integer? 664 What is 21454523 to the power of 1/3, to the nearest integer? 278 What is the cube root of 242970 to the nearest integer? 62 What is the eighth root of 215006 to the nearest integer? 5 What is 42428435 to the power of 1/2, to the nearest integer? 6514 What is the square root of 143137 to the nearest integer? 378 What is 1046021 to the power of 1/2, to the nearest integer? 1023 What is 1107628 to the power of 1/3, to the nearest integer? 103 What is the seventh root of 10743963 to the nearest integer? 10 What is the third root of 5216799 to the nearest integer? 173 What is the square root of 969090 to the nearest integer? 984 What is the sixth root of 857552 to the nearest integer? 10 What is the square root of 589211 to the nearest integer? 768 What is 2017808 to the power of 1/2, to the nearest integer? 1420 What is 1243774 to the power of 1/2, to the nearest integer? 1115 What is 10995898 to the power of 1/2, to the nearest integer? 3316 What is the cube root of 1130919 to the nearest integer? 104 What is the ninth root of 1775284 to the nearest integer? 5 What is 3866974 to the power of 1/5, to the nearest integer? 21 What is the square root of 1310560 to the nearest integer? 1145 What is 20822474 to the power of 1/2, to the nearest integer? 4563 What is 491549 to the power of 1/3, to the nearest integer? 79 What is the cube root of 33638930 to the nearest integer? 323 What is 1230745 to the power of 1/2, to the nearest integer? 1109 What is the square root of 238901 to the nearest integer? 489 What is the fifth root of 3471237 to the nearest integer? 20 What is 130084 to the power of 1/5, to the nearest integer? 11 What is 313157 to the power of 1/3, to the nearest integer? 68 What is 18023788 to the power of 1/3, to the nearest integer? 262 What is 516465 to the power of 1/7, to the nearest integer? 7 What is 2103256 to the power of 1/3, to the nearest integer? 128 What is 109497 to the power of 1/4, to the nearest integer? 18 What is 463754 to the power of 1/3, to the nearest integer? 77 What is the eighth root of 1159671 to the nearest integer? 6 What is the cube root of 1200263 to the nearest integer? 106 What is 5787928 to the power of 1/2, to the nearest integer? 2406 What is the cube root of 73631 to the nearest integer? 42 What is 406325 to the power of 1/6, to the nearest integer? 9 What is the fourth root of 1721240 to the nearest integer? 36 What is 707307 to the power of 1/8, to the nearest integer? 5 What is the cube root of 2326748 to the nearest integer? 133 What is the square root of 3438148 to the nearest integer? 1854 What is the tenth root of 1367674 to the nearest integer? 4 What is 114119 to the power of 1/2, to the nearest integer? 33
{ "pile_set_name": "DM Mathematics" }
3 - 9). 4 -12 + 14 + 9 - 20 -9 What is the value of -3 + 2 - (-17 - -11)? 5 Evaluate (2 - 3) + -1 + 2 + 0. 0 Evaluate 5 + (-1 - (6 - -2)). -4 Calculate (-7 - (3 + -2)) + 10. 2 What is the value of 12 + -9 - (4 + -1)? 0 What is the value of -1 + 8 + -8 + 5? 4 Calculate -2 - -6 - (-4 + 4). 4 What is -5 + -1 - (-1 + -2)? -3 Calculate 3 + -1 + 0 - (72 + -65). -5 What is the value of 2 - (-2 - -15) - -8 - 7? -10 Calculate -1 + -2 - (-7 + 10 + -1). -5 -5 - (-1 + -3 - 0) - 3 -4 -12 + 7 + (7 - 4) -2 Calculate (-2 - -3) + (3 - 0 - 0). 4 What is -2 + (1 - (0 - 1)) + 1? 1 (5 - (0 - -3)) + 2 4 Calculate (4 - -4) + 0 + (-3 - 1). 4 What is -4 + (-2 - (-5 - 1)) + 4? 4 What is the value of 14 + -7 + -7 + 2? 2 1 + -2 + 3 + -3 -1 What is -1 + -3 + 2 + -34 + 36? 0 What is (-13 - -8) + 5 + 1? 1 Calculate (2 + -11 - -8) + -4 + 1. -4 What is the value of 6 + 1 + (-5 - 0)? 2 Calculate (4 - (4 - -1)) + 2. 1 What is the value of (-5 - (-4 + -3)) + -7 + -1? -6 What is the value of (1 - 1 - -4) + (3 - 4)? 3 Evaluate (17 - (20 - 6)) + 5. 8 What is -6 + 1 + (7 - 1)? 1 What is 1 + -6 + (-3 + 1 - -7)? 0 Evaluate 0 + 0 + -40 + 42. 2 Evaluate (-3 + 6 - 4 - -4) + 1. 4 What is 3 + -2 + 4 + -5? 0 What is 1 - (4 + -1) - (7 + -12)? 3 5 - (5 + -3 + 1) 2 Calculate (-1 + 4 - 4) + 1 + 2. 2 What is (-1 - 0) + (-1 - 4)? -6 What is the value of 4 - (4 + -4 + 5)? -1 Calculate 54 + -66 + (2 - 4) + 7. -7 Calculate 195 - 207 - (1 - 5). -8 What is -16 - -22 - (5 - -2)? -1 What is the value of (47 - 43) + -2 + -1 + 0? 1 What is the value of (1 - 2 - -2) + 4? 5 Calculate -6 + 1 + 4 - (-4 - -1). 2 What is 1 + -2 + -25 + 27? 1 (-8 - -7) + (-9 - -1) -9 Calculate 1 + -7 + 5 - (2 + -6). 3 Calculate -1 + -1 + 6 - (2 - -8). -6 What is the value of (5 - 4 - (-1 + 3)) + -4? -5 (-3 - (0 + -3)) + -6 + 10 4 4 - (-6 + -4 + 12) 2 Evaluate -1 + -3 + 2 + 8 + -10. -4 What is the value of 2 + 3 + (-3 - -1) - 12? -9 1 - ((8 - 11) + 10) -6 What is 8 - 0 - (-25 - -29)? 4 Calculate (-5 - -2) + 0 - (-31 + 20). 8 What is the value of 20 - 24 - (2 - 9)? 3 Evaluate -8 + -1 + 4 - -8 - 3. 0 What is 8 + -4 - -1 - 1? 4 Calculate 0 - -4 - (9 - 6). 1 Calculate 2 - (-11 + (-12 - -24)). 1 What is 3 + -1 + (6 - 2)? 6 -10 - -6 - (2 + (-5 - 4)) 3 12 - 7 - 5 - 7 - -2 -5 What is (-5 - -9) + 0 - 5 - 1? -2 What is -4 - ((1 - -2 - 7) + 3)? -3 -21 + 30 + -13 + 0 -4 What is the value of -11 - (7 + 0 + -13)? -5 Evaluate 7 - (15 + -4 - (13 - 18)). -9 What is 1 + (-8 + 6 - -2)? 1 Calculate -2 + -2 - (-11 + 11). -4 What is -1 - -3 - (4 + -2 + 0)? 0 What is the value of -9 - (-3 - -8) - -12? -2 What is 4 + (-3 - 1 - -8 - 7)? 1 What is 3 - (-4 - (-3 + -1 + 1))? 4 Calculate 3 + (-5 - -9) + -2. 5 Calculate (45 - 42) + -8 + 1 + 1. -3 (5 + -11 - (-6 + 0)) + 0 0 What is -5 - (4 + -5) - -5? 1 Calculate (-2 - -1) + (0 + 3 - 1). 1 Calculate -6 + 2 + 4 + 0. 0 Evaluate (4 - (-5 - -17)) + 4. -4 Evaluate 1 + (2 - (1 + 0)) - 3. -1 Calculate 3 + -14 + 6 + 3. -2 What is the value of -5 - (0 + -5 + -1)? 1 What is 12 + (11 - -1 - 24)? 0 What is -5 + (1 + -1 + 2 - -5)? 2 (-5 - 0 - (-4 - 0)) + 5 4 What is (-10 - -11 - (3 + 0)) + -1? -3 What is the value of -15 + 16 + 4 + 0? 5 What is 1 + 1 + -7 + 237 + -230? 2 Evaluate (0 - (-10 + 3)) + -3 - 1. 3 Evaluate 5 - (-5 + 7) - (-2 - 3). 8 Calculate (0 - (16 - 8)) + -1 + 5. -4 2 + (-9 - (-5 - -1)) + 8 5 What is the value of 5 - (2 + 3) - 12 - -5? -7 What is the value of 1 + (-10 - 0 - (-10 + 5))? -4 -6 - (-8 - (-7 + 12)) 7 What is -7 + (2 + -8 - -17)? 4 What is the value of 0 + (2 + 6 - 8)? 0 What is the value of 0 + (0 - 0) + (0 - -2)? 2 Calculate 5 - (11 + (-4 - 1)) - -1. 0 What is 3 - 0 - (-3 + 6 - 7)? 7 What is the value of ((-2 - 0) + 2 - 3) + 8? 5 Evaluate 9 + -8 - (-4 - (-1 + 1)). 5 -5 - -2 - (3 - 2) -4 What is -2 + (10 + (5 - 4) - 5)? 4 -7 + 20 - (9 - (-6 - -8)) 6 What is the value of 1 - 6 - (5 - 6)? -4 What is the value of -13 + 2 + (-6 - -11) - -7? 1 (-6 - -3) + 0 - 0 -3 Evaluate 9 + 9 + -7 + -4. 7 Evaluate 0 + (-2 - -4) - (-28 - -24). 6 Calculate -3 - (0 - (7 - 3)). 1 What is the value of -7 + -1 + 1 - (407 - 407)? -7 Calculate -8 - (-8 - (-7 + 7)). 0 Calculate -1 - -2 - (11 - 12) - 3. -1 Calculate (-1 - -2 - 3) + 3 + 0. 1 What is (-4 - -1 - 2) + 4 + 0? -1 What is the value of (-2 - -7) + -12 + (8 - 8)? -7 Calculate (0 - -1) + (-11 - (-22 - -11)). 1 (12 - (5 - 0)) + -1 + -1 5 Evaluate -3 + -4 + (-5 - -5) + 13. 6 Calculate -2 + -5 + 40 + -39. -6 Calculate (-7 - -12 - 1) + -3 + 0. 1 What is the value of -6 - -13 - 16 - -8? -1 -7 + 10 + (6 - 7) 2 What is (-2 - 3) + -3 - -5 - 1? -4 Evaluate (0 - (6 - 0)) + 3. -3 Evaluate -6 - -1 - (2 + -2). -5 (-1 - -2) + 19 + -23 -3 Evaluate 2 - 4 - 2 - -9. 5 0 - (-2 - (3 + 2 - 12)) -5 Calculate 10 + -12 - (1 - (8 + 0)). 5 (-2 + -1 - (12 - 14)) + 7 6 What is 2 + 2 + -5 + 0? -1 -9 + 7 - (-1 + 5) -6 What is the value of (-8 - (5 - 7)) + 6? 0 Calculate -5 + -6 + 4 - (1 + -1). -7 What is the value of 0 + -3 + -37 + 36? -4 What is the value of -1 + -2 + (5 - 1) - -4? 5 What is (-4 - 2 - (5 + -13)) + 6? 8 Evaluate 0 + (4 - 4) - (-3 + 6). -3 What is 1 + (-1 - 1) + -14 + 20? 5 -9 + (-1 - (-4 + -1)) + 0 -5 Calculate 2 + -3 + (-16 - -19). 2 What is -35 + 33 - (0 - 10)? 8 What is -2 - (-3 - (4 + (-5 - 2)))? -2 What is the value of 12 + 1 + -5 + -3? 5 (1 - -1 - (4 + -2)) + 5 5 Calculate 8 - (8 - 2) - (-1 + -1). 4 What is the value of -2 - (4 + -15 + 5)? 4 Evaluate (2 - 0) + (5 - (-3 + 6)). 4 What is the value of (-2 + 1 - -2) + 3 + 0? 4 What is the value of (-1 - 5) + 23 - 10? 7 Calculate (-4 - -2) + -1 - (40 - 38). -5 What is the value of (-1 - 1) + 3 + -2? -1 What is the value of (2 - 5) + -6 - (-5 - -1)? -5 What is -2 + -8 + 8 - 6? -8 -4 + 2 + 1 + -4 -5 Evaluate 3 + 1 + -3 + (-4 - 0). -3 5 + (1 - (0 + 9)) -3 What is 5 + -7 + 1 + 1 + -2? -2 What is 6 + -1 - (-1 - -7) - -2? 1 Evaluate -15 + (-8 - -11 - -7). -5 8 + -1 + -5 + -4 -2 Calculate 0 + 1 + (-12 - -15 - 4). 0 What is 21 - 37 - (-5 - 7)? -4 Calculate (-3 - -5) + 4 + -2. 4 Evaluate (5 - 9) + 6 + 3. 5 -2 + (11 - 7) + -8 -6 What is the value of (-11 - (-5 + 4)) + 6? -4 What is the value of 7 - (4 + -3 + 3)? 3 Evaluate 4 - (6 + -4 + -1). 3 What is -5 + 18 + -8 + -4? 1 Calculate -6 + (6 - 0) + -2 + 1. -1 Calculate (-6 - -14) + (0 - 2). 6 9 - (-4 - (5 + -18)) 0 (-3 - 3) + 3 - (-8 - 0) 5 What is the value of 0 + 4 + (-4 - 2)? -2 Evaluate (-1 - (-4 - -3)) + 2 + -7. -5 Evaluate 11 + (-1 + 0 - 3). 7 Calculate (3 - (-2 + 7 + -4)) + -12. -10 Calculate 18 - 17 - (-3 + (-3 - -2)). 5 What is -5 - (1 + -6 - 1)? 1 What is 0 + -1 + 0 - -4? 3 What is 3 + 0 + -1 + (-5 - 0)? -3 Calculate (-1 - -2) + -4 + 4 + 5. 6 -9 + 10 + (-4 - 0) -3 -8 + 18 + -15 + -1 + 1 -5 What is the value of 3 + (2 - (2 + 0 + 1))? 2 Evaluate -5 + 1 + -4 + 16. 8 What is the value of -1 - 1 - (-5 - (3 + -14))? -8 12 + -10 - (-9 + 5) 6 21 + -14 + 5 - 4 8 Calculate -9 - (4 - 8 - 2). -3 What is (-26 - -31) + (-9 - 0)? -4 Calculate -8 - (-11 - -21) - (-2 + -5). -11 Calculate -2 + 0 - ((9 - 8) + -2). -1 Evaluate 2 + (-3 - (4 - 3)). -2 Evaluate -5 + 7 + -3 - 4. -5 Evaluate 1 + 2 + (-5 - 2) + 3. -1 What is the value of -4 + (-5 - -3) + 9? 3 What is 3 + -7 + (-7 - -6) + 1? -4 Calculate 1 - (2 - (4 - 5) - -1). -3 Calculate -4 + (-1 - -1 - -1) - 3. -6 What is the value of -6 + (8 - 4) + 6? 4 Evaluate 5 - ((-8 - -7) + 4 + 0). 2 Calculate -2 + 7 + -5 + 0. 0 Evaluate -64 + 61 + -1 + 10. 6 Calculate -3 + -4 + 6 - 1. -2 Evaluate (3 - 0 - 5) + (-3 - 1). -6 -1 - (2 + -5 + 3) -1 What is the value of -10 + (11 - 7) + 7? 1 Calculate 6 + 4 + -7 + 1 + -4. 0 -2 - (-6 + 2 + 2 + 1) -1 Calculate -5 + -4 + 5 + 3. -1 What is the value of -5 - -5 - (7 - (8 + -4))? -3 Calculate (-2 - -6) + (7 - 5) + -5. 1 6 + (-8 - (6 - 4)) + 6 2 What is the value of (0 - (3 - (0 - 0))) + 0? -3 What is -1 - (-2 + 8) - (-1 + -2)? -4 What is the value of 1 + (1 - -4 - (-1 + 2))? 5 What is 0 + -2 - (9 - (12 - 0))? 1 (-10 - (-13 - -5)) + -6 -8 What is the value of -3 + (0 - -4) - (-9 + 6)? 4 What is -4 + (-1 - -2) - (-110 - -112)? -5 Calculate 9 + -14 - (2 - 10). 3 Evaluate 6 + 5 - 6 - 3. 2 What is the value of (-5 - (5 + -16 + 1)) + -3? 2 What is the value of 7 - 2 - (-12 - -13)? 4 Evaluate (-1 - 1) + (-4 - -2). -4 What is the value of 13 + -8 - (1 - -1)? 3 What is the value of -6 + 3 - (7 + (-5 - 0))? -5 What is (-4 - -10) +
{ "pile_set_name": "DM Mathematics" }
23 What is the value of 76/570*(-189)/18? -7/5 What is the value of (-2864)/3580 - (-123)/135? 1/9 Calculate -328*12/288 - (-2)/(-6). -14 Evaluate (286 - 290) + 1*-1. -5 -10 + 87/(-8)*356/(-267) 9/2 What is (2/(-24))/((-1215)/432 - -3)? -4/9 What is (((-3)/(-5))/(1104/736))/(24/15)? 1/4 What is the value of (-2 - 20/(-15))/(8/156)? -13 Evaluate 3*-3*(-14)/(-42). -3 What is the value of (-6)/10 + 7914/6595? 3/5 What is ((28/(-448))/(3/18))/(3/(-24))? 3 What is ((3/(-22))/(-1))/(-1544 + 1541)? -1/22 What is the value of 3*((-363)/(-90) + -4)? 1/10 What is 3*((-754)/39 + 12)? -22 Evaluate ((-49)/(-294))/(((-15)/10)/(-3) - 0). 1/3 -10 + 8/2 + -4 + 1232/124 -2/31 Evaluate (44/(-8) - -3)/(((-143)/(-44))/(-13)). 10 6/(-15) - (0 + 1)*1116/60 -19 Evaluate ((-304)/6*(-96)/128)/(-1 + 0). -38 Calculate (12 - -2) + 462 + -498. -22 Calculate 14/(-49) - (-250)/14*4/5. 14 (-78)/7*-1 + -538 + 526 -6/7 Evaluate (-50)/(-375)*(-25)/55. -2/33 Evaluate (-5 - 30/(-4))/((-14)/28). -5 What is the value of (4/10)/(1 + (-35)/(-25))? 1/6 (42/(-18))/(-5 + (-184)/(-36)) -21 Evaluate (-28)/(-52)*21/(-147). -1/13 Evaluate -2*(18/96*24 + 9). -27 Calculate 4/(-11)*((-220)/80 - 4/(-16)). 10/11 What is the value of (-13 + 539/42)*(2 - 1)*-2? 1/3 What is -5 - -3 - ((6 - -2) + (3 - -2))? -15 ((-44)/(-6237)*21)/((-4)/(-12)) 4/9 What is (5/(-2))/(233 + -250 + 103/6)? -15 Evaluate -47 + 162573/3619 + (15/11 - 1). -12/7 What is the value of 2548/(-637)*(-1)/(-24)? -1/6 (-510)/(-204)*2/(-10) - 1/10 -3/5 Calculate (((-221)/(-26))/17)/2. 1/4 -6 + 15 + -16 + -4 - -9 -2 ((-182)/(-26))/(-84) - 10/(-56) 2/21 What is ((-134)/(-616) - (-192)/(-672))*116 - -9? 12/11 What is the value of (-3)/(-7) - (14/42 - 112/(-147))? -2/3 What is the value of (1/11 + (-168)/396)*39? -13 What is 7 + -20 + 8/(48/(-42))? -20 What is 32 + (-3135)/76 - (0 + -7)? -9/4 Evaluate 0/(-375) - 2/19*-3. 6/19 6/189*(-2124)/354 -4/21 What is the value of 1*0*5/45 + (-30)/(-70)? 3/7 What is (66/(-15) + 4)*8*42/(-224)? 3/5 66/(-1947) - 52440/(-1416) 37 Evaluate (24/36)/((-74)/3). -1/37 (2835/18)/(-35)*16/6 -12 Evaluate ((-435)/15 - -21) + 1*2. -6 (32/144)/(220/(-90)) -1/11 What is -12 - ((-70)/(-7) - 24)? 2 What is the value of (3/(-104))/((-3519)/184 - -19)? 3/13 Evaluate 4797/(-7995)*-1*1. 3/5 ((-12)/(-120)*5)/((-4)/(-12)) 3/2 Evaluate (-168)/(-147) - ((-324)/70)/(-3). -2/5 What is (6 - -11) + 182655/(-10701)? -2/29 What is the value of 49/((-833)/(-187)) + (0 - 0)? 11 0 + 3 + -381 + 386 8 Evaluate -1 + 144/((-48)/(-4)). 11 (-5)/2*(-2)/(-10) + 11233/(-478) -24 What is the value of 1490/(-447)*(4 + 32/(-20))? -8 30/4 - (-1968)/(-288) 2/3 8 - (((-8439)/18)/(-29) + -8) -1/6 What is 2981/232518*((-6)/4 + 0)? -1/52 (1 - (-242)/(-187))*17/(340/16) -4/17 What is the value of 4/(-51)*((-230)/23 + 13)? -4/17 What is the value of -19 - -4 - -31 - 23? -7 Evaluate ((-97)/(-291))/((-14)/9). -3/14 What is 1/(-1) + (-20)/(-2) + (-51 - -45)? 3 What is the value of (2 + (-112)/(-42))*(-18)/21? -4 Evaluate (-2 - (3/9 + -1))/((-130)/(-390)). -4 (-3 + 3 + 2)*(-10 + (-420)/(-50)) -16/5 What is the value of ((-218)/(-327))/(-29 + -5)? -1/51 Evaluate (730/(-15))/(12/(-2)) + (0 - 7). 10/9 What is (-3)/21 + 530/1456 + 18/(-48)? -2/13 (-78)/(-21) + (-412)/103 -2/7 What is the value of 1775/100 - (16 - -3)? -5/4 What is (-9350)/(-125120) - (-1)/(-23)? 1/32 Calculate (-3 - 3)/(-6) + (-12)/(-6). 3 What is the value of 5 + 4*((-985)/220 - (0 - 3))? -10/11 2*3 + (76/1463)/((-4)/434) 4/11 What is the value of 8/2 - 1 - (-30997)/(-10481)? 2/47 What is the value of (-14)/21*8/(-64)*-132? -11 (6 + (-91)/14)*(-5)/(-15)*4 -2/3 Evaluate (159 - 1)*8/(-80) + 18 + -8. -29/5 Calculate (-3 - -2)/((126/28)/9). -2 Evaluate (-25 + (2 - 2))*(-1766)/4415. 10 11/((-110)/(-64)) + (4 - (-154)/(-35)) 6 92/(-1150) + 27/25 - -33 34 Evaluate 1/(52/(-8) - -8) + 52/12. 5 What is the value of (-950)/(-855)*((-3)/2)/1? -5/3 What is (-2)/(-27) + (-5200)/(-2700)? 2 What is 1*(26/(-11 + -15) + 29/27)? 2/27 What is (3/(-7))/((-1404)/1008)? 4/13 What is the value of (204/(-45))/(22/55) + 9? -7/3 What is 1/7*(31 + (-8640)/280)? 1/49 What is the value of (-1 + 2/6)*(-84)/(-112)? -1/2 What is the value of ((-16224)/(-68))/12 + -20? -2/17 (-216)/378 + ((-6)/7 - -1) -3/7 Calculate 58/(-6525) - 1/9. -3/25 (-2790)/(-372)*(-36)/15 -18 Evaluate 7/8*14 - ((-4559)/(-188) - 25). 13 What is (-564)/9870*20/16? -1/14 What is (941 - 939)*(-2 + 1)? -2 What is the value of 190/(-200)*-4 - 3 - (0 - -1)? -1/5 What is 10/(-135) + 9460/2322? 4 (-1)/((-6)/64) - -3*(-17)/(-153) 11 Calculate 2187/(-162)*(-4)/18. 3 -12 - (-4)/(-10)*(-25550)/840 1/6 Calculate 3184/8400*-5 + (-8)/(-84). -9/5 What is the value of 10 + 12/(-18)*27? -8 Evaluate (-3)/(-5) + (-3857)/(-7105). 8/7 What is the value of (24/3 - 21) + (-13 - (1 + -9))? -18 Calculate -3*136/360 + 4/(-24)*4. -9/5 (-40)/(-980)*(-4 - -18) 4/7 What is 13/312*1/(-3)*-9*-3? -3/8 What is (2 - (27 + -26))/(-1 + (-27)/(-21))? 7/2 What is the value of (-2052)/855*10/54*2? -8/9 (42 + -44)/(2/7) -7 ((-2)/(-6))/((-79)/395) -5/3 Calculate 404/345 - 1608/(-55476). 6/5 Evaluate 8*(-42)/(-560)*(-165)/(-9). 11 What is the value of (2/9)/(11808/1296)? 1/41 What is the value of (-792)/(-660)*(-90)/4? -27 What is (-4)/(-7)*(-6 - (14 + -27))? 4 Evaluate 9*6/486 + 4/4. 10/9 Calculate 4/(-3)*(-21)/9*(-675)/(-350). 6 Evaluate (-39)/728*8*(-2 + 4). -6/7 Calculate 2 + (1275/(-153) - (-4)/3). -5 (171/171)/(2/(-8)) -4 Calculate -6 + 612/105 + 170/(-119). -8/5 What is the value of 572/(-572)*2/11? -2/11 What is the value of 2/18 + 3844/558? 7 (-175)/14*(103 - 101) -25 Calculate (13/6)/((-101)/606). -13 Calculate (-7)/2*((-5246)/(-301) + -18). 2 -3 - (21 - (-2737)/(-115)) -1/5 What is the value of (-41 - -54) + (-237)/18? -1/6 Evaluate (-4)/((-80)/10)*(-2)/5. -1/5 What is the value of (2*(-7)/14)/((-455)/585)? 9/7 What is the value of (-26 - (-48)/(-12))*((-6)/9 - -1)? -10 What is the value of -3 + 7/4*(15/7 - 3)? -9/2 What is (24/(-28))/(36/18) - (-123)/(-7)? -18 What is the value of (1 + -15)*((-6)/(-44))/((-4776)/2189)? 7/8 Evaluate ((-4592)/(-615))/(120/90). 28/5 Evaluate (200/84 - 2)/((-72)/84). -4/9 What is the value of (-1968)/(-176) + (7 - 18)? 2/11 Evaluate (-19)/(-171)*315/(-42). -5/6 What is the value of (4/3)/((-27)/(1944/(-240)))? 2/5 What is ((-3655)/170 - -21)*((-46)/(-50) - 1)? 1/25 What is the value of (-14319)/(-999) + 1/(-3)? 14 Evaluate 3/(-6)*(-162 - -184). -11 What is (21 + 2331/(-105))*5? -6 Evaluate (-2134)/(-13871) - (8/(-23))/(26/(-5)). 2/23 (2/20)/(-1 - (-143)/132) 6/5 What is the value of (3/15)/(1036/(-70) + 12)? -1/14 ((-12)/((-336)/413) + -13)/((-3)/24) -14 Calculate (3/(-39))/((-855)/7410). 2/3 Calculate 2/84 + (24/(-456)*0)/4. 1/42 Calculate (168 - 43)/(9 + -4). 25 Calculate ((-117)/(-12) + -5)/(6/(-24)). -19 What is (-2)/((-19)/(-3) + (-60)/300 - 6)? -15 Evaluate ((-6)/72*16)/(4/(-18) + 0). 6 518/444 + 231/(-36)*-2 14 What is the value of 200/32*-4*(-102)/(-85)? -30 (-814)/(-121) - (20 + (-39 - -26)) -3/11 What is 12 + -4 + (-21)/7? 5 Evaluate 5 + -2 + (-34 - (-16 + 2)). -17 Calculate (-1)/(-3) - (57392/612 + -93). -4/9 What is the value of (-10 + 5 - -6)*(-7)/(-63)? 1/9 What is the value of -8*((-270)/136 + (4 - 2))? -2/17 (59 - 24) + (-5 - (-16)/4) 34 What is the value of 10*(-5)/(-200) - (-2)/(-8)? 0 9/3*(-535)/2247 -5/7 What is the value of 8/90 + ((-207)/414)/(5/2)? -1/9 (-50)/60*304/(-570) 4/9 Calculate -38 - -29 - (-219)/24. 1/8 What is (18/16)/(5/(1225/147))? 15/8 What is the value of (7*15/882)/(10/8)? 2/21 What is the value of (-9)/((-9)/(-11)) + -39 + 29? -21 What is (-15876)/1575 - 44/(-880)*(-16)/(-10)? -10 What is the value of 138/30 + -5 - 6*72/(-80)? 5 (-28)/(-1008)*9 + (-1700)/528 + 3 1/33 Evaluate -66 + 17*(-902)/(-374). -25 Evaluate -30 - ((-64)/(-240) + 1926/(-135)). -16 What is the value of 2*(-30 - 9)*1/6? -13 What is the value of -2 + 60/(-6)*6/12? -7 (99/(-165))/(15/100) -4 Evaluate (-36)/(-6*((-416)/24 + 17)). -18 What is (-10 - 0)*226/(-1130)*(-50)/4? -25 Evaluate -9 + (-24 - -63) + -24. 6 What is the value of (-17)/(-35) + 11 + 994/(-49) + 9? 1/5 Calculate (63/14)/(-9) + (-4)/(32/(-44)). 5 What is (4/(-64))/(1554/(-252) + -1 + 7)? 3/8 Evaluate (-26 + 23 - (-11 + 1)) + (-5980)/828. -2/9 Evaluate (-14)/(-260) - 1/(58/4 - 8).
{ "pile_set_name": "DM Mathematics" }
asing order. 0.4, j, d, -2/5 Let c = -22518.2 - -22518. Let b = -31/2 + 16. Sort -1.4, -1, c, b in ascending order. -1.4, -1, c, b Let c = 3007 - 3007. Put -8, -314, c, 2 in descending order. 2, c, -8, -314 Let i be 4/(-16)*1/((50/(-1015))/10). Sort i, 4, -1 in descending order. i, 4, -1 Let q = 77.288 + -1.588. Let z = 76 - q. Let m = 13 - 13.5. Sort 5, m, -0.4, z. m, -0.4, z, 5 Let x(n) = -3*n**3 - n. Let l be x(-1). Suppose -2*o - 2*j = -80, -o - 3*j + 160 = 3*o. Let t be (-5)/o*l*4*1. Sort 2, t, 4, 3 in descending order. 4, 3, 2, t Let l = -23401 + 23401.4. Put -5, l, -5690 in increasing order. -5690, -5, l Let h(i) = i**2 + 64*i + 123. Let q be h(-2). Let k be (4/10)/(9/(-855)). Let x be (2/(-4))/((-1)/k). Sort x, -2, q in descending order. q, -2, x Let s be (2 - 6/(-21)) + -2. Let j be (-19)/(-2) - (-1614 + 1624). Sort 0, s, j, 3. j, 0, s, 3 Let v be (5 - 7)*(-1 + 11). Let d be (-30)/(-8) + (-5)/v. Let k(f) = f**3 - 23*f**2 - 53*f + 69. Let j be k(25). Sort d, j, 2, 5 in decreasing order. 5, d, 2, j Let v be (-3 + 63/35)/((-3)/(-10)). Suppose 20 = 5*t - 2*j, 4*j = 5*t - 37 + 7. Sort 11, t, v in decreasing order. 11, t, v Let z(o) = 904*o - 3618. Let k be z(4). Put 0.17, k, -1/28 in increasing order. k, -1/28, 0.17 Let b be 0 - (6 - (-327)/2). Let c = b - -168. Let j = 61/5 - 12. Sort j, -23, c, -4/9 in ascending order. -23, c, -4/9, j Suppose 0*w - 15 = -3*w. Let p(r) = -r**3 + 9*r**2 - 8*r - 4. Let j be (4/3)/(3/18). Let k be p(j). Sort 3, k, -3, w in ascending order. k, -3, 3, w Suppose -4*u = -h - 11, 4 = -5*h - 11. Suppose -u = 2*c + 6. Let w = 33/8 + c. Put w, -3, -5/4 in decreasing order. w, -5/4, -3 Let y = -0.7 - -0.2. Let f = -3249 - -2262. Let l = 985 + f. Sort l, -13, y, 1 in decreasing order. 1, y, l, -13 Let m(v) = -231*v + 234. Let q be m(1). Sort q, 0, 5, 97 in increasing order. 0, q, 5, 97 Let o be 2/(-10) - (-1)/(-5). Let p = -237/4 + 59. Let y = -1097/1795 - -4/359. Sort p, y, o, 4 in descending order. 4, p, o, y Let x(r) = 2*r**3 - 2*r**2 + 1. Let y be x(-1). Let b = -6.3695 + 1.3695. Put y, b, 0.9, 5 in descending order. 5, 0.9, y, b Let p be (-10)/70 + (-3191)/(-7). Let u = -456 + p. Put 2, -1, u in ascending order. -1, u, 2 Suppose 5 = -5*r, -6*n - r = -9*n + 7. Put n, 0, 867, 3 in descending order. 867, 3, n, 0 Let d(a) = -4*a - 99. Let z be d(-25). Suppose 5*l = -5*l. Put l, -4, z in decreasing order. z, l, -4 Let o be (-16 - 1 - -9 - -12)/58. Sort 0.082, o, -2 in descending order. 0.082, o, -2 Let g = 3002/7 + -429. Let l = 20 + -19.8. Put l, 2, g in ascending order. g, l, 2 Let a be -5 - (-3)/((-15)/40). Let c = -3 + 0. Let j be 9/(-27) + a/c. Put 3, 2, -4, j in descending order. j, 3, 2, -4 Let d be 0 + 8*(-5)/(-10). Suppose 4*f = 9*f + 5. Let v(h) = h**3 - 20*h**2 + 2*h - 44. Let j be v(20). Sort j, 1, d, f. j, f, 1, d Let o = 6174 - 6177. Sort -5, 1, 4, -17, o in decreasing order. 4, 1, o, -5, -17 Let y = 3.006 + -7.006. Suppose -5*z = -2*i - 67, -z = -5*z + 5*i + 40. Let p be (-33)/(-5) - (-6)/z. Sort p, -2, y, 3. y, -2, 3, p Suppose 2255*n - 2165*n = 1890. Let r = -0.8 + -0.2. Put 2, n, r in decreasing order. n, 2, r Let p = -7289 - -7295. Sort 2, p, -1244 in ascending order. -1244, 2, p Suppose -3*q - 2 - 7 = 0. Let h(g) be the first derivative of -3*g**4/4 - 2*g**3 + 2*g**2 + 4*g + 1183. Let k be h(q). Sort 2, 5, k. 2, 5, k Let u be 1/34 - 30732229/(-16082). Sort -2, u, 4 in ascending order. -2, 4, u Let r(m) = -84*m - 2315. Let s be r(-28). Sort -1, s, -12 in descending order. s, -1, -12 Let f(x) = -x**3 - 4*x**2 + 4*x - 5. Let a be f(-5). Let h be (8/12*-24)/(11 - 15). Sort a, h, -20 in increasing order. -20, a, h Let l(v) = -v**2 - 26*v + 44. Let q be l(-39). Put 2, -5, q in descending order. 2, -5, q Let m be 2 - 3 - 26/(-24). Let f = 1117 - 1116.9. Sort -0.1, m, f, -1 in ascending order. -1, -0.1, m, f Let b be 1 + (-2)/3 + 6/(-18). Suppose m = -m - k + 1, b = -3*m - k. Put m, -4, 1/5 in descending order. 1/5, m, -4 Let j = 1187 + -1185. Sort 1/4, j, -549. -549, 1/4, j Let b = 6137/3 - 2046. Let y = 0.2 + -0.3. Let m = -372 - -1126/3. Put b, y, m in ascending order. b, y, m Let z = 0.544 - -14.456. Let k = 3.8 - 2.1. Let d = -1.2 + k. Sort d, z, 0.4 in decreasing order. z, d, 0.4 Let n = 42.614 - 42.214. Let z = -2.6 + 4. Sort -3/5, -0.5, n, z in ascending order. -3/5, -0.5, n, z Let p = -0.00494 - 0.13506. Put 2/115, -2, p in increasing order. -2, p, 2/115 Let x = -1707 + 1707. Put -429, x, 2, -2, 1 in decreasing order. 2, 1, x, -2, -429 Let w be (-4)/(-15) - 4/(-12). Let v(o) = o**3 + 14*o**2 - 13*o + 33. Let t be v(-15). Let l be 3 - (t/24*53 + -4). Put l, w, -1/2 in ascending order. -1/2, l, w Suppose -32 = -40*c + 44*c. Let j be ((-3)/(-6))/(c/432). Sort 5, 4, j in increasing order. j, 4, 5 Suppose b = 4*g - 2, -10*g = -5*g - 3*b + 1. Let u = 116 + -119. Sort -1/3, 0.07, u, g in increasing order. u, -1/3, 0.07, g Let w = 0.019 - -0.241. Let i = w + 0.74. Let p be 13/11 + (-2)/2. Put i, p, 2/13 in ascending order. 2/13, p, i Suppose 0 = 4*p - 2*u + 143 - 145, -p = -u + 3. Let m be (-1 + 3)/1*-1. Sort p, m, -1 in decreasing order. p, -1, m Let g be (-62)/(-15) - 4 - (-462)/(-90). Put 4, 1370, g in decreasing order. 1370, 4, g Suppose -6*t + 648 - 636 = 0. Let d(v) = 2*v**2 - 4*v - 8. Let x be d(3). Put x, t, 103, 3 in increasing order. x, t, 3, 103 Let y(h) = -h**3 + h**2 + 2*h - 2. Let b be y(-4). Let f = 1457.53 + -1452.53. Sort b, 3, -2/7, f. -2/7, 3, f, b Let k = 3 - 0. Let s = k + 4. Let h = 720 + -722. Sort -4, h, s. -4, h, s Suppose 27*s = -4*s - 1860. Let m be ((504/s)/14)/(2/10). Put 2, m, -9 in decreasing order. 2, m, -9 Let b = -8461 + 8458. Put b, -17, -7 in increasing order. -17, -7, b Suppose -4 = 6*a - 5*a. Suppose -139 = 5*i + 2*v, 0 = -3*v - 3 - 3. Let p be 0/3*2/4. Sort 1, p, a, i in ascending order. i, a, p, 1 Let u = -29 - -29. Let o = -5 + 8. Suppose 5*s + 0 = -5*a - 10, 5*s = 5*a. Sort a, o, u. a, u, o Suppose 0 = t + 5*r - 20, 0 = -284*t + 286*t - 2*r + 8. Put -2/5, t, -14, -0.5 in ascending order. -14, -0.5, -2/5, t Suppose -17*m = -16*m + 6, 0 = -6*n - m - 36. Put 0, 122, -2, n, 3 in decreasing order. 122, 3, 0, -2, n Suppose 24 = 50*x + 74. Sort -103, x, -5. -103, -5, x Let i be (-4)/(-2)*1 + -2. Let x(d) = 5*d**2 + 22*d + 13. Let f be 4 + (-172)/44 - (-90)/(-22). Let s be x(f). Sort s, -2, i, -3 in descending order. s, i, -2, -3 Let m = 9 - 8.8. Let i = -10.8 - m. Let z be (-9)/(-21)*1/(-1). Sort -2, z, i in descending order. z, -2, i Let j = 13122 + -13122. Put 4, 21, j, -8 in descending order. 21, 4, j, -8 Suppose -4*g + 4*b = 16, -2*b = -231 + 225. Sort 1, 95, g in decreasing order. 95, 1, g Let s = 35 + -35.039. Let r = 3.839 + s. Let w = -1.2 - r. Put 0.5, -4/5, -5/7, w in increasing order. w, -4/5, -5/7, 0.5 Let z be (-3)/12*((-56)/(-24) - 3). Sort 5, z, 0.12. 0.12, z, 5 Let a = -49.06 + 50.56. Let j = -4 + 4. Put j, a, -0.4 in increasing order. -0.4, j, a Let i be (-4)/(-16)*10*-2. Suppose -10 - 6 = 4*g. Let n be (1/15*10)/(4/6). Sort n, i, g in increasing order. i, g, n Let u = -438.399 - 0.601. Let o = u + 452. Put 3, 8/9, o in decreasing order. o, 3, 8/9 Suppose c = 3*g - 3, 0 = 3*g - 0*g + c + 9. Sort -17, 17, g, 3 in descending order. 17, 3, g, -17 Suppose 38 = 2*x - 4*n, -n = -2*x + 4*x - 23. Let p = 13 - x. Put -1, p, 3, -5 in decreasing order. 3, p, -1, -5 Let q(w) = w**2 + 16*w + 41. Let k be q(-12). Sort -48, k, 3. -48, k, 3 Suppose -62*w + 60*w = -6. Suppose 12 = -w*g + q + 3*q, 4*g + 16 = -q. Put 2, g, 4, -3 in decreasing order. 4, 2, -3, g Suppose -104*y + 4*x - 13 = -99*y, 6*y - 25 = -x. Suppose -4*r = -4 - 24. Let b be (3 - 27/r)*(-14)/y. Put 8, -5, b in decreasing order. 8, b, -5 Let a = 16 - 26. Let u be -1 + ((-12)/a)/(21/(-70)). Let b(i) = i + 18. Let z be b(-13). Sort z, -27, -4, u. -27, u, -4, z Suppose -287 = -21*y - 980. Put -2, y, 5 in descending order. 5, -2, y Let k(t) = t**3 - 5*t**2 - 35. Let d be k(6). Let s = -0.9 + -0.1. Let l = 0.3 - 0.42. Put d, s, l in increasing order. s, l, d Let n = 326.83 - 326.78. Put 3, n, 5, 74, 2/11 in increasing order. n, 2/11, 3, 5, 74 Suppose -5*d = 5*r - 170, d = 6*d - 3*r - 170. Let a = -34 + d. Suppose 5*n = -2*h - 24, 45 = -5*n - 0*h + 5*h. Sort n, -2, a. n, -2, a Let o be (-1)/2*4/(-9). Let h
{ "pile_set_name": "DM Mathematics" }
4. Give l(o). 1 Let g(k) = -3 - 4*k - 3*k + 3*k. Suppose 2*h = 5*n + 220 + 205, -2*h = -n - 77. Let b = -90 - n. Give g(b). 9 Let t(x) = x + 9. Suppose 5*n = -3*f + 103, 3*f - 2*n - 84 - 5 = 0. Let p = -14 - f. Let l = p - -52. Give t(l). 16 Let b(a) = -10*a**2 - 6*a - 8. Suppose 64 + 4 = -118*k - 168. What is b(k)? -36 Let h(p) = -181 - 154 - 166 - 170 - 33*p + 782. Give h(3). 12 Suppose -5*m - 10*m - 2*m = 0. Suppose m = 5*w - 847 + 832. Let f(r) = -r**3 + 4*r**2 - 3*r + 3. Determine f(w). 3 Let c be 10/(-5) - (-23)/((-184)/64). Let a(q) = q**2 + 8*q - 24. What is a(c)? -4 Let f(x) = -x**3 - 10*x**2 + 5*x + 54. Let a = 147 + -157. Let k be f(a). Let l(g) = 2*g - 1. Determine l(k). 7 Let t = -35839 - -35840. Let y(s) = -6 - 6*s + 11*s - 29*s. Let w(r) = r + 1. Let v(b) = -6*w(b) - y(b). What is v(t)? 18 Let y be 4/14 + 1380/21. Let f = 21 - y. Let p = f + 44. Let d(s) = -3*s**3 - s**2 - s - 1. Determine d(p). 2 Let p(o) = -4*o**3 + 23*o**2 + 4*o + 129. Let x(a) = -5*a**3 + 24*a**2 + 134. Let s(n) = 4*p(n) - 3*x(n). Determine s(21). 9 Suppose 0*k = 3*k - 27. Let u(a) = 4*a**3 - 10*a**2 + 10*a - 4. Let j(p) = p**3 + 3. Let b(l) = -3*j(l) + u(l). What is b(k)? -4 Let n be (7 - 0) + 2/(-2). Let z(u) = -2*u**3 - 4*u**2 - 36*u - 26. Let b be z(-16). Let q(a) = -5*a + 3 - b*a**2 - 4 + 7719*a**2. Determine q(n). 5 Let k(m) be the first derivative of -m**4/4 - 13*m**3/3 + 6*m**2 + 7*m - 1439. What is k(-14)? 35 Let c(f) = 3*f + 1. Let r be 1/(6/(-9)*3/(-14)). Let y be r + -2 + -2 + 6. Suppose -30*w + 27*w - y = 0. Determine c(w). -8 Let h(i) = -2*i - 4*i + 2*i + 9. Let n(c) = -c**2 + c + 116. Let o be (-528)/(-12)*((-21)/12 - -2). Let y be n(o). Give h(y). -15 Let l(z) = -23*z**2 + z. Suppose 0 = 42*i - 39*i - 6. Suppose i*q - 96 = -94. Calculate l(q). -22 Suppose 10*w - 154 = 3*w. Let m = w - 19. Let b(a) = 5*a**2 + 3 + 7*a**m - 2*a**3 - 4*a**3 - 6*a. Calculate b(-6). 3 Suppose -3*t + t = 0. Suppose -81 = -9*j - t*j. Let s(o) = 6 + j*o - 2 - 12*o - o**2. Determine s(-3). 4 Let n(f) = f**2 - 1. Suppose -p - 3 = 5*d, 6*p - 2*p = d - 12. Suppose -2 = 4*a - 2*k, d + 5 = -4*a - k. What is n(a)? 0 Let f(t) = -t**3 - 9*t**2 - 5*t + 25. Let n be f(-8). Let l(r) = -97*r + 196*r + n - 97*r. Give l(4). 9 Let x(m) = 16*m**2 - 34*m - 9. Let v(n) = -11*n**2 + 3*n + 6. Let f(q) = -2*q**2 - q + 1. Let s(w) = 4*f(w) - v(w). Let z(b) = 11*s(b) - 2*x(b). What is z(6)? -22 Let v(k) = 0*k**3 - 1073 + 1091 - 11*k - 16*k**2 - k**3 + 12*k. Determine v(-16). 2 Let h(j) be the first derivative of j**5/20 - j**4/6 + j**3/6 + 31*j + 23. Let q(d) be the first derivative of h(d). Determine q(1). 0 Let p(b) = -b + b**3 + 121 + 10*b - 244 + 9*b**2 + 118. Let v be 24/(-18)*1*6. Give p(v). -13 Let w(a) = -5*a - 4. Let y(f) be the first derivative of f**3/3 - 2*f**2 - 168. Let r be y(1). Determine w(r). 11 Let h be (-4)/6 + 10/15 + 25. Let a(o) = -5*o + 0*o - 8*o + o + h + o**2. Let w be a(10). Let q(c) = c**3 - 5*c**2 - 3*c + 1. Give q(w). -14 Let t(c) = 2*c**2 - 6*c - 7 - c**2 + 0*c**2. Suppose 1074*r + 525 = 1179*r. Give t(r). -12 Let l(g) = g + 15. Suppose -1 = -3*u - z, 103*u = 99*u - 2*z + 2. Give l(u). 15 Suppose 4*g - 12 = -f, -3*g + 4*f = f + 6. Let l(d) = -g - 3*d + 3 - 5 + 0. Suppose -2*h + 23 = -5*a - h, 4*h - 32 = 5*a. What is l(a)? 8 Let v = -45 - -69. Let k = 52 - v. Suppose 4*n + 0*n = -k. Let z(u) = u**3 + 7*u**2 - 4*u - 10. Calculate z(n). 18 Let n(m) = -m**2 + 3*m - 6. Let x be 2 - (6 - 369) - 7. Suppose -3*z + x - 349 = 0. Give n(z). -6 Suppose 0 = -2*i - 3*m + 55, -5*m = i - m - 40. Suppose 11*u = 6*u - 2*n + i, 3*n - 23 = -4*u. Let q(o) = -2*o**2 + 2*o - 1. Determine q(u). -5 Let v be 148/28 + 2/(-7) + 3. Suppose -6*n = -n - 35. Let r(b) = -7*b**2 - n*b**3 + 3*b**3 + 5*b**3 - 4 - 8*b. Determine r(v). -4 Let g(p) = -p**3 + 13*p**2 - 12*p - 6. Let r(c) = c**3 + 10*c**2 + 23*c + 1. Let y be r(-5). Give g(y). 104 Let s(g) = 13*g**2 + 3*g + 1. Let w(h) = h**2 + h. Let q(y) = -s(y) + 6*w(y). Let p(x) = -x**2 + 7*x + 2. Let n be p(7). What is q(n)? -23 Suppose -5*o - 2*l = -44, -l + 12 = 3*o - 14. Let r(a) = -2 - 2*a + 3 - 2*a - 2*a**2 + o*a. Calculate r(4). -15 Let p(h) = h**3 + 3*h**2 - 12*h + 1. Suppose 2*j = -k - 8, 4*k - 9*j + 22 = -7*j. What is p(k)? -35 Let w(d) = -14*d**2 + 1. Let n(y) = 4*y**2 + 6*y + 18. Let l be n(-4). Let u = 59 - l. What is w(u)? -13 Let c(h) = -h**3 + 7*h**2 - 27*h + 181. Suppose -16*t + 0 + 112 = 0. Let g be c(t). Let s(y) = -y**3 - 8*y**2 + 3*y + 11. Calculate s(g). -13 Let d be (87/60 - 65/325)*4. Let b(z) = -z**3 + 6*z**2 - 24*z + 96. Give b(d). 1 Let u(p) = -p**2 - p + 6. Let l(r) = 4*r - 32. Let k be (-4)/24*-2*0. Let j be l(k). Let x = -32 - j. Determine u(x). 6 Suppose -5*g + 9*v = 4*v - 50, v = -g. Suppose 2*d + 3*m - 22 = -0*m, -m = 5*d - 42. Let n(s) = d*s + s - s - 7*s. Calculate n(g). 5 Let w(o) = -7*o**2 + 71*o - 32*o - 4 + 6*o**2 - 14*o - 11. Determine w(21). 69 Let x(l) = 1651*l + 7. Let w(i) = 6054*i + 27. Let b(n) = -3*w(n) + 11*x(n). Let u(r) = 11*r**3 - 2*r**2 + r. Let f be u(1). What is b(f)? -14 Let d(z) be the third derivative of z**5/60 - z**4/3 + 7*z**3/6 + 878*z**2 + 9*z. Let l = -11 + 15. Suppose 0 = l*o + 2*g + 3*g - 30, 6 = 3*g. Give d(o). -8 Let g(z) = 7*z**2 + z - 2. Let a be g(3). Let c(n) = -6 - 1 + a*n - 2 - 62*n. Calculate c(14). 19 Let z(y) be the second derivative of y**4/12 - 3*y**3/2 + 5*y**2/2 - y. Suppose 6*b + 5*b = 55. Suppose 38 = 5*s - 3*a, 3*a - 11 = -b*s + 21. What is z(s)? -9 Let n(p) = 2*p**3 - p**2 - p. Let i(y) = 37*y**3 - 11*y**2 - 21*y - 4. Let c(x) = -i(x) + 18*n(x). Calculate c(-6). -50 Let r(x) = 4 - 1 - 178*x + 60*x + 60*x + 62*x - 2*x**2. What is r(3)? -3 Suppose 2773 = -7*f + 778. Let a = f + 289. Let c(o) = o - 3. What is c(a)? 1 Let u(p) = p - 5. Let l(k) = 4*k - 15. Let t(x) = -6*l(x) + 17*u(x). Let j be (2 - 1)/((-6)/(-12)). Let i be t(j). Let g(a) = a + 5. Give g(i). -4 Let v(r) = -r**3 - r. Let m(s) = -s**2 + 16*s - 50. Let f be m(6). Let a be ((-1 - 4)/f)/(3/12). Calculate v(a). 10 Let s = 496 + -501. Let i(b) be the first derivative of 5*b**2/2 + 12*b + 7. What is i(s)? -13 Suppose 5*u + 3*b = -2*b - 5, 3*b = u - 19. Suppose -7*w + 9 = -u*w. Suppose 2*x - 3*c = 13, 5*x - 2*x = -3*c - w. Let n(j) = 6*j - 3. Calculate n(x). 9 Let d(l) be the first derivative of -l**4/4 - 3*l**2/2 + 2*l - 679. Give d(-3). 38 Let j(z) be the third derivative of -z**4/24 - z**3 + z**2. Suppose -446*a = -2*b - 441*a + 38, -4*b = a - 10. Calculate j(b). -10 Suppose 6*t + 0*t = t. Suppose 2*c + 2*c + 20 = t. Let k(b) be the third derivative of -b**4/24 - 5*b**3/6 + 8*b**2. Give k(c). 0 Suppose 10*b + 240 = 50*b. Let i(c) = b + 0 + 21*c**2 + 3*c - 19*c**2 + 3*c. Calculate i(-3). 6 Suppose -3*d + 5*k = -43, -11 + 25 = -d - 4*k. Let t(x) = x**3 - 6*x**2 + 5*x + 8. Calculate t(d). 38 Let n(v) = -v**3 + 3*v**2 + 3*v - 2. Suppose 0 = -2*q + k + 24, 0 = -4*q + k + 60 - 8. Suppose -3*h = -4*c + 1, -31*c + 30*c + q = 2*h. Give n(c). -6 Let b = -25 - -29. Suppose 2 = 2*f + 4*x, -b*f = -0*x - 3*x - 26. Let w(t) = -t**2 + 7*t + 1. Determine w(f). 11 Let c(k) = -k**3 + 9*k**2 - k + 10. Let a(h) = 5*h**3 + 6*h**2 + 6*h + 23. Let q be a(-4). Let g = 234 + q. Give c(g). 1 Let u(v) be the first derivative of -29*v**2/2 - 3*v + 7777. Determine u(1). -32 Let i(v) be the second derivative of 2*v**2 + 2*v - 1/12*v**4 + 39 + 4/3*v**3. Give i(8). 4 Let b(j) = -32 + 60*j**2 + 6*j - 21*j + 0*j + 69*j**2 - 130*j**2. What is b(-9)? 22 Suppose 174*y - 975 = -21*y. Let r(j) = 8*j - 47. Calculate r(y). -7 Let y(b) = -b**2 - 3*b - 1. Let q be ((-56)/5)/((-4)/10). Let d = q - 25. Suppose -4*a = 7 - d. Give y(a). 1 Let p(w) be the third derivative of w**4/2 - w**3/3 + 1058*w**2. Let s(u) = 2*u - 2 - u**2 + u**3 + 2*u**2 + 4 + u**2. Let a be s(-2). What is p(a)? -26 Let k(t) = 5*t. Let u = -21 - -20. Let h(m) = -20*m. Let p(i) = u*h(i) - 5*k(i). Determine p(-2). 10 Let f(k) = 5*k**3 - 2*k - 1. Let j = -55 - -79. Let t be (-1)/(-3)*(21 - j). Determine f(t). -4 Let t(a) = 3*a**3 - 1491*a**2 + 1487*a**2 - 4*a**3 + 3 + 6*a. Suppose -4*m + 4 = 24. Give t(m). -2 Let o(g) = 3*g**2 + 24*g - 8. Let r = 5419 + -5428. Give o(r). 19 Suppose -4*o + 2 = -2*g - 2, -4*o = 5*g + 24. Let b(l) = 28*l**3 - 5*l + 1. Let k(i) = 86*i**3 - 17*i + 4.
{ "pile_set_name": "DM Mathematics" }
s: 1, l: 1}. What is prob of sequence es? 1/15 Calculate prob of sequence fqc when three letters picked without replacement from mmfccqqcuc. 1/90 Four letters picked without replacement from {l: 4, h: 1, f: 4, j: 3, e: 2}. Give prob of sequence eeff. 1/1001 Four letters picked without replacement from crrvcrvcrvvcvvrccrv. Give prob of sequence cvcr. 35/2584 Two letters picked without replacement from {b: 1, m: 8, l: 6}. What is prob of sequence bm? 4/105 What is prob of sequence zccc when four letters picked without replacement from {z: 3, c: 12}? 11/91 Calculate prob of sequence fq when two letters picked without replacement from gefegegyfqqfgffegejg. 1/38 Three letters picked without replacement from quhqeeha. Give prob of sequence equ. 1/84 Calculate prob of sequence ci when two letters picked without replacement from {y: 2, l: 4, i: 1, c: 4, m: 2, h: 2}. 2/105 Calculate prob of sequence qisy when four letters picked without replacement from {k: 2, y: 2, i: 1, q: 1, s: 1}. 1/420 Three letters picked without replacement from {s: 2, f: 3, j: 4}. What is prob of sequence fjf? 1/21 Four letters picked without replacement from kckckkckckkkkkck. What is prob of sequence ckcc? 11/728 Calculate prob of sequence vgn when three letters picked without replacement from {x: 8, n: 5, t: 3, g: 1, v: 2}. 5/2907 Calculate prob of sequence jkt when three letters picked without replacement from oojfftntjknffj. 1/364 Two letters picked without replacement from kkkkoajo. What is prob of sequence aj? 1/56 Two letters picked without replacement from {w: 2, k: 2, u: 2}. Give prob of sequence ww. 1/15 Calculate prob of sequence tmxm when four letters picked without replacement from {t: 1, m: 4, x: 1, a: 10, e: 2}. 1/6120 Calculate prob of sequence nyk when three letters picked without replacement from uuuxykn. 1/210 Two letters picked without replacement from kpkbbhbbgglh. Give prob of sequence gb. 2/33 Two letters picked without replacement from {y: 2, o: 6}. What is prob of sequence oy? 3/14 Four letters picked without replacement from vzgcxgp. What is prob of sequence ggpz? 1/420 What is prob of sequence bi when two letters picked without replacement from {i: 2, y: 4, b: 2, m: 1, v: 1}? 2/45 Four letters picked without replacement from mwmmpmpmmmwmwpmwwn. What is prob of sequence pwwm? 1/136 Two letters picked without replacement from {s: 2, x: 1, j: 1, g: 1}. Give prob of sequence gx. 1/20 What is prob of sequence fggf when four letters picked without replacement from {g: 2, f: 2}? 1/6 Three letters picked without replacement from {y: 1, b: 5, l: 4, n: 6}. Give prob of sequence ynb. 1/112 Two letters picked without replacement from {i: 2, u: 3}. Give prob of sequence uu. 3/10 What is prob of sequence ojj when three letters picked without replacement from {p: 3, s: 7, o: 3, j: 2}? 1/455 Calculate prob of sequence bu when two letters picked without replacement from {x: 1, b: 2, u: 1}. 1/6 Calculate prob of sequence wcc when three letters picked without replacement from xcwxci. 1/60 Four letters picked without replacement from krrrkrk. What is prob of sequence rkkr? 3/35 Two letters picked without replacement from jjjoojjjj. What is prob of sequence jo? 7/36 What is prob of sequence lb when two letters picked without replacement from grbrgrlggr? 1/90 What is prob of sequence ta when two letters picked without replacement from att? 1/3 Four letters picked without replacement from wrzrzjjhrlhlrhh. Give prob of sequence ljjl. 1/8190 Three letters picked without replacement from rpp. What is prob of sequence ppr? 1/3 Calculate prob of sequence lbkb when four letters picked without replacement from {b: 2, j: 1, t: 2, l: 1, k: 4}. 1/630 Calculate prob of sequence bbu when three letters picked without replacement from ecuebb. 1/60 Three letters picked without replacement from gxpagjjx. What is prob of sequence agx? 1/84 Two letters picked without replacement from wjwttotwtkkotwotkeo. What is prob of sequence jw? 2/171 What is prob of sequence gxgx when four letters picked without replacement from zmzigxmxixxixxgzm? 1/952 Two letters picked without replacement from eheeweeeezeewheweew. What is prob of sequence eh? 4/57 Calculate prob of sequence ddd when three letters picked without replacement from {d: 5}. 1 Four letters picked without replacement from {d: 4, e: 3, p: 2}. Give prob of sequence eepp. 1/252 What is prob of sequence wg when two letters picked without replacement from {g: 2, w: 3}? 3/10 Three letters picked without replacement from {f: 2, i: 1, c: 1, e: 1, t: 2, u: 2}. What is prob of sequence itt? 1/252 Two letters picked without replacement from ppfefffpfp. Give prob of sequence fp. 2/9 Calculate prob of sequence hh when two letters picked without replacement from {h: 4, c: 5, i: 6}. 2/35 Calculate prob of sequence rro when three letters picked without replacement from {r: 5, o: 14}. 140/2907 What is prob of sequence jjv when three letters picked without replacement from {v: 1, j: 3, t: 2, w: 4}? 1/120 What is prob of sequence dhf when three letters picked without replacement from dfhtfttfcc? 1/240 Three letters picked without replacement from {u: 2, d: 5}. What is prob of sequence udd? 4/21 Two letters picked without replacement from wwxwjwwjwwwwxwxww. What is prob of sequence ww? 33/68 What is prob of sequence rx when two letters picked without replacement from dxudrdiuuwdurruu? 1/80 Three letters picked without replacement from {b: 5, v: 1, c: 3}. What is prob of sequence ccv? 1/84 Two letters picked without replacement from {n: 6, i: 3, u: 1, g: 4}. Give prob of sequence ii. 3/91 Two letters picked without replacement from iiwibdhiiiiiiibdwii. What is prob of sequence ii? 22/57 Four letters picked without replacement from {w: 5, y: 1, x: 2, s: 4, d: 4, o: 4}. What is prob of sequence dwyo? 2/2907 Calculate prob of sequence ipp when three letters picked without replacement from {p: 2, i: 1, c: 14}. 1/2040 Two letters picked without replacement from {t: 1, i: 1, p: 10, o: 6, u: 1}. Give prob of sequence pi. 5/171 Two letters picked without replacement from {p: 1, k: 1, x: 2}. Give prob of sequence pk. 1/12 What is prob of sequence qvq when three letters picked without replacement from {q: 15, v: 5}? 35/228 Calculate prob of sequence ssg when three letters picked without replacement from {d: 1, s: 5, c: 3, f: 1, g: 3, z: 2}. 2/91 Calculate prob of sequence vv when two letters picked without replacement from vppvppppvpppvvpppvp. 5/57 Calculate prob of sequence pkqp when four letters picked without replacement from cppkqcccccpcpqqcpcp. 5/5168 Calculate prob of sequence ho when two letters picked without replacement from {s: 2, e: 1, o: 2, g: 1, a: 2, h: 1}. 1/36 Calculate prob of sequence lll when three letters picked without replacement from llllvllvvvl. 7/33 What is prob of sequence kpkk when four letters picked without replacement from mvckcpmkivccvkc? 1/5460 Two letters picked without replacement from {i: 2, m: 1, n: 4, x: 1, f: 10}. What is prob of sequence nn? 2/51 Two letters picked without replacement from sssssss. Give prob of sequence ss. 1 What is prob of sequence mwi when three letters picked without replacement from wbbmmpwwwipmmb? 2/273 Three letters picked without replacement from codfdvddcoc. Give prob of sequence odv. 4/495 Three letters picked without replacement from {z: 2, i: 2, x: 1, u: 1}. Give prob of sequence uzz. 1/60 Two letters picked without replacement from igdiwlq. What is prob of sequence gd? 1/42 Three letters picked without replacement from {u: 6, v: 3, y: 1, h: 5}. Give prob of sequence vyh. 1/182 What is prob of sequence tgf when three letters picked without replacement from ftgftdtgtdtgaqqa? 1/112 What is prob of sequence gu when two letters picked without replacement from {q: 4, u: 7, g: 4, h: 1, k: 1}? 7/68 Two letters picked without replacement from nvnbbnnnnnxbnbnnnbxx. What is prob of sequence bv? 1/76 Four letters picked without replacement from {j: 2, b: 4, m: 2}. Give prob of sequence jbjm. 1/105 What is prob of sequence lell when four letters picked without replacement from dllldldelddllldlll? 11/816 Calculate prob of sequence jju when three letters picked without replacement from {u: 5, j: 9}. 15/91 Two le
{ "pile_set_name": "DM Mathematics" }
)/(-27))? False Let o(i) = i**3 + 38*i**2 + 18*i + 4. Does 17 divide o(7)? False Let g(t) = -322*t - 1260. Is g(-6) a multiple of 2? True Suppose -7*o + 8 = -6. Is 6 a factor of 4/24*-3 + 25/o? True Suppose -5*k = -2*x - 620, k - 80 - 47 = x. Suppose 130 + k = 4*q. Does 6 divide 108/14*-1*q/(-9)? True Suppose 2*u - 3*d = u + 167, -u - d = -151. Suppose -15*a = -11*a - f - 144, 5*a - u = -5*f. Does 27 divide a? False Suppose z + 1 = 3. Let g(s) = -4*s**z - 39*s + 66*s - 29*s - 2*s**3. Is 5 a factor of g(-3)? False Let p be (-232)/8*(2 + -1). Let c = p + 19. Is 13 a factor of 4/c*(-18 - 47)? True Suppose -12*j + 2*t + 7776 = -10*j, -5*j + 4*t = -19434. Is j a multiple of 2? True Let r(w) = -w**3 + 6*w**2 + 18*w - 12. Let f be r(8). Suppose 0 = -3*z + l + 19, -f = -l - l. Suppose -z*x + 12*x = 50. Is x a multiple of 6? False Suppose 41*i + 1546400 = 241*i. Is 19 a factor of i? False Let s be 2 + -1 + -2 + -710. Let j = s + 496. Let t = -147 - j. Does 8 divide t? False Let w be 43*(26/(-104) - (-5)/4). Suppose -p = 4*b - w, -2*p + 45 = -5*b - 2. Does 19 divide p? False Let w(d) = -d**3 + 115*d**2 + 527*d - 642. Is w(115) a multiple of 22? False Let l(j) = -2*j**3 + j**2 - 2*j - 2. Let b be l(-1). Let z be (0 + b)/((-6)/664*-4). Let q = z + 1. Is 42 a factor of q? True Let w(d) = d**3 + 26*d**2 + 35*d - 20. Suppose -14*b - 124 = -9*b - x, 3*b - 2*x + 80 = 0. Is 12 a factor of w(b)? False Let r(d) be the third derivative of d**6/120 + 3*d**5/20 - d**4/2 - 11*d**3/3 - 125*d**2. Is 29 a factor of r(-5)? False Suppose 0 = -3*b - b + 24. Does 23 divide ((-36)/(-3 + b))/((-4)/74)? False Let v be -2 + 2176 - (1 - 2). Suppose -3*r - 1365 = -4*z, -5*z - 3*r - 462 = -v. Is z a multiple of 6? True Suppose -1 - 62 = 7*x. Let f be (x + 10)/(3/285). Suppose -o + 2*o - 5*d = f, -o = -2*d - 101. Is 21 a factor of o? True Let q = 241 + -351. Let a = q + 113. Suppose -3*k - 63 = -m, a*m + 2*k = -m + 252. Is m a multiple of 25? False Let f(i) = 3*i**2 - 4*i + 38. Let z be f(6). Suppose -3*o - p + 468 = z, 8 = 2*p. Does 6 divide o? True Let u be (-45)/10*-8 + 1. Let g = u - 32. Suppose -t + 2*t + 41 = 3*s, -g*s + 3*t + 71 = 0. Does 4 divide s? False Suppose 0 = -36*p + 30*p + 24. Suppose 92 = 4*h + p*q, 4*h - 7*q - 47 = -2*q. Does 20 divide (91 + h/6)*3? False Suppose -68418 - 342447 = -91*v. Is 36 a factor of v? False Let l be 2/((-56)/324) - (-30)/(-70). Let f(a) = -51*a - 128. Is 11 a factor of f(l)? True Suppose -9*h + 0*h + 180079 = 22*h. Does 24 divide h? False Let z be 48/(-20)*((-3)/(-6) - 3). Let g(u) = 10 - z*u - 17*u**2 - 19*u**2 + 41*u**2. Does 20 divide g(4)? False Let a = 33112 + -8692. Is a a multiple of 12? True Does 81 divide -10566*(11 - 476/42)? False Let u(x) = -x**3 - 15*x**2 - 9*x - 2. Let l be u(-10). Let y = 20 - l. Suppose -5*w - 4*j + 723 = 0, 7*w - 4*w + 3*j = y. Does 24 divide w? False Suppose -53*p - 51*p - 20331 + 199731 = 0. Does 5 divide p? True Suppose -3*s - 4*f + 62 = 0, -3*s + 4*f + 2 = -20. Is ((-48)/(-8) + 6)*s a multiple of 24? True Let y(d) = -19707*d - 536. Is 16 a factor of y(-3)? False Let k(b) = 2854*b**2 + 448*b - 879. Is k(2) a multiple of 20? False Suppose 3*i = -3, -4*g + 2*i - 3260 = -810. Let a = 1032 + g. Is 12 a factor of a? False Suppose 0 = 4*n - 2*t - 73692, 8*n + 2*t - 36846 = 6*n. Is n a multiple of 40? False Let w = 1861 - -1811. Is w a multiple of 216? True Suppose 2*a + 2*a - 22 = 5*t, -3*t - 3*a + 3 = 0. Let l be (4/6)/(t/(-72)). Does 12 divide ((-14)/4)/((-2)/l)? False Let h(k) = k**3 - 4*k**2 + k - 1. Let j be h(4). Let v(s) = 17*s**3 + 2 - 1 + 5*s - 5*s**2 - 10*s**3. Is v(j) a multiple of 16? True Let b = -55 - -66. Let g(w) = -w + 101. Does 40 divide g(b)? False Is 26 a factor of ((-21216)/15)/(9*34/(-3825))? True Suppose v - 13 + 14 = 0. Let r be ((-15)/9)/(v/378). Suppose 0*k = 6*k - r. Is 5 a factor of k? True Suppose 3*b - 2956 = -5*t, -4*t - 5*b = 988 - 3332. Is t a multiple of 244? False Let j = 7815 - -957. Does 51 divide j? True Let v(y) = -y**3 - 50*y**2 + 257*y + 120. Is 15 a factor of v(-55)? True Suppose 5*u + 3 = 6*u. Let a be 3 + u - (2 + 1). Suppose 8*t - a*t - 397 = 2*i, 5*t - 5*i = 385. Is 7 a factor of t? False Suppose 17 = -8*o + 113. Is 9 a factor of o/(3 - (-567)/(-196))? False Suppose 3*a - 26 - 283 = 0. Suppose -2*y = -a + 5. Let l = y + -28. Is 3 a factor of l? True Let q(u) = -u**2 - 10*u - 18. Let o be q(-8). Let v be 4/(-14) + (o/(-7))/1. Suppose v = 16*b - 2398 - 482. Is 18 a factor of b? True Suppose -5*q + 95 = -2*y, 2*q + 9 = -q. Suppose r + 136 = 5*r. Let n = r - y. Does 14 divide n? False Let j = 355 - 380. Let q = j - -145. Does 25 divide q? False Let w(s) = 3*s**3 + 7*s**2 - 5*s - 60. Let i be w(11). Suppose -4*m + i = 11*m. Does 35 divide m? True Suppose 0 = -3*q - 15, h + 3*q = 1207 + 4875. Is 67 a factor of h? True Suppose 377*l = -3*f + 372*l + 25382, -f - 2*l = -8462. Does 121 divide f? False Let j be (-28)/2*26/(-4)*-5. Is 19 a factor of j/14*(-820)/25? False Suppose 0 = -34*z + 775693 - 186201. Is 5 a factor of z? False Suppose q + 15 = -5*g, 5 + 10 = -5*g + 5*q. Does 19 divide g/9 + (-2198)/(-6) - 5? True Let s be -35 - -33 - 1/((-1)/6). Let q(w) = 5*w**2 + 7*w - 49. Let z(m) = 2*m**2 + 4*m - 24. Let k(p) = s*q(p) - 9*z(p). Is 35 a factor of k(10)? True Let r(l) = -5*l**2 + 8 - 952*l + 12*l**2 + 6*l**2 + 944*l. Does 32 divide r(-6)? False Suppose -3*o = 4*g - 93, 2*o = -g - 4 + 31. Let y = g + -21. Suppose y = 12*p - 7*p - 480. Is p a multiple of 16? True Let k = 65426 - 25373. Does 169 divide k? True Let u(p) be the third derivative of p**6/120 - 2*p**5/5 - 5*p**4/3 - 29*p**3/6 - 46*p**2 - p. Is u(26) a multiple of 10? False Let o = 70 + -65. Suppose w - o = -1, 0 = 2*d + 5*w - 50. Let a(u) = 21*u - 35. Does 40 divide a(d)? True Let j = 433 - 206. Suppose t + 126 = -36. Let u = t + j. Is 13 a factor of u? True Suppose -4*o + 3 = 3*d - 192, o - 53 = -5*d. Does 16 divide o? True Suppose -6*j + 5*x = -11*j + 45, -2*j + 12 = -4*x. Suppose 0 = 5*k + 4*s - 3485, -3*k + 2091 = 5*s - j*s. Is 17 a factor of k? True Suppose 2*q - 10*q - 4248 = 0. Let a = 968 + q. Does 8 divide a? False Suppose 37*v - 123658 = -3*f + 35*v, -2*v = -2*f + 82422. Is f a multiple of 56? True Is 5 a factor of (-13 - -10) + (-74798)/(-14) + (-66)/(-231)? True Let j be ((-20)/15 - -2) + 345/9. Suppose j*v = 5666 + 2758. Does 4 divide v? True Let o be (3 + 0)*2/(-4)*-2. Let t(j) = 7*j - j + 3*j**o + 5*j**2 - 12*j + 20 + 0*j**3. Does 52 divide t(4)? False Suppose -3*l + 15 = 3*v, -3*v + 3*l = 4 + 11. Let p be 19 - v - (-15 + 11). Let d = p + 33. Is 7 a factor of d? True Let h(r) = -14*r - 404. Let v be h(-17). Is 13063/13 - v/1079 a multiple of 30? False Suppose 5*k = -5*j - 125, 3*k - 3*j + 57 = -0*k. Is 21 a factor of (-56)/(-616) - 32228/k? False Let z be (-2094)/(-8) - (-3)/12. Suppose -167 + 203 = 9*v. Suppose -6 + 1 = 5*r, z = v*c + 2*r. Is c a multiple of 11? True Suppose -3*m - 2 = -17. Suppose -v + 4570 = 4*v - 5*t, m*t = v - 922. Does 8 divide 1/((-18)/(-4)) + v/27? False Let m = -4360 + 7510. Is m a multiple of 18? True Suppose -179 = 5*u - 3*l - l, 0 = u + 4*l + 31. Let p be -4*(5025/20)/(-15). Let c = p + u. Is c a multiple of 21? False Let f(l) = l - 16. Let n be f(18). Let p(g) = -g**3 + 2*g**3 + 4 - 7*g + 1 - n. Does 13 divide p(4)? True Let a be (6 + 11146)/8 + -8. Suppose 924 = 22*x - a. Is x a multiple of 9? False Let c(t) = -3*t**2 - 6 + 16 - 7*t - 10*t**3 + 12*t**3. Is 6 a factor of c(5)? True Let k = -2188 + 3792. Does 5 divide k? False Suppose 17*h - 13 = 16*h. Suppose -h*v + 21*v - 72 = 0. Suppose 2669 = v*b - 328. Is 48 a factor of b? False Let r be (4/14)/((-6)/(-42)). Suppose 5*s = 4*i + 10, -4*i - r*s = -s - 2. Suppose 2*x - 4*u = 3*x - 67, i = 2*u. Is 37 a factor of x? False Let t = 3 - 11. Let g = -12 - t. Let b(d) = 4*d**2 + 3*d - 10. Is 14 a factor of b(g)? True Suppose 49*f + 66 = 51*f. Suppose f*j = 30*j + 597. Is 13 a factor of -3 - j/(-1)*1? False Suppose 86*h + 15630 = 6*o + 89*h, 4*h + 2605 = o. Is 9 a factor of o? False Suppose 6*b - 70 = -8*b. Suppose 14 = 3*d - 1, -3*c + 2639 = -5*d. Suppose 7*o + b*o - c = 0. Is o a multiple of 9? False Let s(w) = 79*w**2 - 506*w - 47. Is s(13) a multiple of 2? True Let a(l) = 2*l**2 - 1. Let w(t) = -4*t**2 - 3*t - 1.
{ "pile_set_name": "DM Mathematics" }
6000000 What is -0.000005140668 rounded to 6 decimal places? -0.000005 What is -0.00000070579551 rounded to 7 dps? -0.0000007 What is -71298.96 rounded to the nearest one hundred? -71300 Round 0.589469 to three dps. 0.589 Round 55.1945 to the nearest integer. 55 What is -0.54506138 rounded to 3 decimal places? -0.545 Round -22303.71 to the nearest ten. -22300 Round 0.001836352 to five dps. 0.00184 What is 414100 rounded to the nearest 10000? 410000 What is -0.003240368 rounded to five dps? -0.00324 What is -53.44446 rounded to 1 decimal place? -53.4 Round 0.3739816 to three decimal places. 0.374 Round -3.27819 to two decimal places. -3.28 What is 2.14138 rounded to zero decimal places? 2 What is 0.0000060933 rounded to six dps? 0.000006 What is -1475.0834 rounded to the nearest one thousand? -1000 Round -431.2511 to one dp. -431.3 Round -73897.018 to the nearest ten. -73900 Round 0.001672767 to four decimal places. 0.0017 Round 10519.7 to the nearest ten. 10520 What is 682691 rounded to the nearest one thousand? 683000 What is -0.09291148 rounded to 5 decimal places? -0.09291 Round -11479620 to the nearest 100000. -11500000 What is 747146000 rounded to the nearest one million? 747000000 What is -0.00399893 rounded to four dps? -0.004 What is 0.00031626 rounded to 4 decimal places? 0.0003 What is 0.0000544454 rounded to 5 dps? 0.00005 What is 242.1725 rounded to the nearest integer? 242 Round -0.06652841 to five decimal places. -0.06653 Round -461.21 to the nearest ten. -460 What is -0.00046781 rounded to 5 dps? -0.00047 Round 0.000113764 to six dps. 0.000114 What is -299923.2 rounded to the nearest 1000? -300000 What is 2957.11 rounded to the nearest ten? 2960 What is 213.475 rounded to 0 dps? 213 Round 0.00002199635 to seven decimal places. 0.000022 Round 0.00000041913 to 7 dps. 0.0000004 What is -45.0212 rounded to 1 decimal place? -45 What is 2.23075 rounded to 2 decimal places? 2.23 Round 981500000 to the nearest one million. 982000000 What is 1586.727 rounded to zero decimal places? 1587 Round 1.914849 to two decimal places. 1.91 Round 0.54413443 to one dp. 0.5 What is 0.00079723 rounded to 5 dps? 0.0008 What is -0.0003832044 rounded to 6 dps? -0.000383 What is -89.9207 rounded to 1 dp? -89.9 What is -5351.7 rounded to the nearest 100? -5400 Round 15646300 to the nearest 100000. 15600000 Round 27390.6 to the nearest one hundred. 27400 What is -31289.784 rounded to the nearest one hundred? -31300 Round -2005.33 to the nearest ten. -2010 Round 72.84983 to the nearest 10. 70 Round 0.46652 to one dp. 0.5 Round 0.00000269971 to seven decimal places. 0.0000027 Round 0.06657925 to 2 decimal places. 0.07 Round 0.000002822272 to 7 decimal places. 0.0000028 Round 22688760 to the nearest ten thousand. 22690000 What is -0.000043764615 rounded to 5 dps? -0.00004 What is 24951950 rounded to the nearest 1000000? 25000000 What is 0.2262281 rounded to four decimal places? 0.2262 Round 9180.346 to the nearest integer. 9180 Round 202637300 to the nearest one hundred thousand. 202600000 Round 274205 to the nearest ten thousand. 270000 What is 76.2872 rounded to 1 dp? 76.3 What is -14785490 rounded to the nearest 10000? -14790000 Round 305921040 to the nearest 100000. 305900000 What is -0.039203 rounded to four dps? -0.0392 Round 0.0000224737 to 7 decimal places. 0.0000225 Round -124963900 to the nearest one hundred thousand. -125000000 Round -0.015823601 to four dps. -0.0158 What is 25200131 rounded to the nearest one million? 25000000 Round 0.205106 to 2 dps. 0.21 What is 0.000000807149 rounded to 7 dps? 0.0000008 Round 1.1318224 to three decimal places. 1.132 What is -6033379 rounded to the nearest ten thousand? -6030000 Round 0.000137895 to 5 decimal places. 0.00014 Round -0.39450638 to 1 dp. -0.4 Round -3.192576 to 3 decimal places. -3.193 Round 0.0147533 to 4 decimal places. 0.0148 Round -120922470 to the nearest ten thousand. -120920000 What is 1715730 rounded to the nearest 100000? 1700000 Round 0.01758779 to 5 dps. 0.01759 Round -7319.928 to the nearest 1000. -7000 Round 1.982 to two dps. 1.98 What is -20592.983 rounded to the nearest 1000? -21000 What is 0.137666 rounded to 3 dps? 0.138 Round -0.00022103261 to 6 decimal places. -0.000221 Round -160.0548 to the nearest 10. -160 What is -2326.569 rounded to the nearest ten? -2330 What is -0.01884378 rounded to three dps? -0.019 Round -0.0004480357 to 6 decimal places. -0.000448 What is -7.67747 rounded to 2 dps? -7.68 Round 2.50491 to 1 dp. 2.5 Round -0.01679648 to 4 dps. -0.0168 What is -9737 rounded to the nearest 100? -9700 Round -0.443175 to 2 dps. -0.44 What is 0.00012044955 rounded to six decimal places? 0.00012 Round -0.03021578 to three dps. -0.03 What is 40673.4 rounded to the nearest ten thousand? 40000 Round 0.00197204 to 5 dps. 0.00197 Round 1144.4734 to the nearest one thousand. 1000 Round 4666.08 to 0 decimal places. 4666 Round -47884620 to the nearest 10000. -47880000 What is -1.226885 rounded to one decimal place? -1.2 Round 547.46353 to the nearest integer. 547 What is 57612800 rounded to the nearest 1000000? 58000000 What is -0.14907715 rounded to 2 decimal places? -0.15 What is -135.1907 rounded to 1 decimal place? -135.2 What is -0.0000097232 rounded to 7 decimal places? -0.0000097 What is -16953.668 rounded to the nearest 1000? -17000 Round -13818894 to the nearest 1000. -13819000 Round 0.000452581 to 4 decimal places. 0.0005 What is 2002829 rounded to the nearest one thousand? 2003000 Round 66.3399 to zero dps. 66 What is -1526.316 rounded to the nearest ten? -1530 Round 50.714 to the nearest 100. 100 What is 22300220 rounded to the nearest 1000000? 22000000 Round -4.07688 to one dp. -4.1 Round -0.00071056027 to 6 decimal places. -0.000711 What is -63975000 rounded to the nearest 1000000? -64000000 Round 0.00766337 to five dps. 0.00766 Round 0.000000366401 to 7 dps. 0.0000004 Round 1202018000 to the nearest one million. 1202000000 Round 2.0149927 to two decimal places. 2.01 Round 0.0020573 to six decimal places. 0.002057 What is -14765760 rounded to the nearest 10000? -14770000 What is 6641.45 rounded to the nearest 1000? 7000 Round -528.673 to the nearest integer. -529 What is 2995.36 rounded to the nearest one hundred? 3000 What is 0.001062717 rounded to 5 dps? 0.00106 What is -0.0005182021 rounded to four decimal places? -0.0005 What is -0.00001243046 rounded to 7 dps? -0.0000124 What is -9238.61 rounded to the nearest one hundred? -9200 What is 0.0001343928 rounded to 5 decimal places? 0.00013 What is 15974.18 rounded to the nearest 100? 16000 What is -2189501 rounded to the nearest 1000? -2190000 Round 0.00131656 to four decimal places. 0.0013 Round -4.767101 to two decimal places. -4.77 Round -8209860 to the nearest one million. -8000000 Round -83736010 to the nearest 1000000. -84000000 Round 0.00000267323 to 6 decimal places. 0.000003 What is -0.0003246117 rounded to 6 decimal places? -0.000325 What is -0.00002289667 rounded to five decimal places? -0.00002 Round -766.146 to the nearest integer. -766 Round -0.000000167182 to 7 dps. -0.0000002 Round -161026.5 to the nearest one thousand. -161000 Round -4296800 to the nearest 100000. -4300000 Round 757458000 to the nearest 1000000. 757000000 What is -1641368.4 rounded to the nearest one hundred thousand? -1600000 What is -65191 rounded to the nearest ten thousand? -70000 What is 9973500 rounded to the nearest 10000? 9970000 What is -1532288 rounded to the nearest one hundred thousand? -1500000 What is 0.141981 rounded to four dps? 0.142 What is 1.5928089 rounded to 2 decimal places? 1.59 Round 0.00042506572 to seven decimal places. 0.0004251 What is -1052960.2 rounded to the nearest 1000000? -1000000 Round -2838.3 to the nearest 100. -2800 What is 12429.925 rounded to the nearest 100? 12400 What is -0.0008218936 rounded to five decimal places? -0.00082 Round 31633130 to the nearest one hundred thousand. 31600000 Round 0.009439418 to 5 decimal places. 0.00944 What is -0.2275067 rounded to 2 dps? -0.23 Round 0.000004400274 to seven decimal places. 0.0000044 What is -0.00810748 rounded to four dps? -0.0081 What is 7870.773 rounded to the nearest one hundred? 7900 Round 2799079 to the nearest 10000. 2800000 What is -0.00218
{ "pile_set_name": "DM Mathematics" }
e 0 = -5*q + y + 5, -2 = -2*q - m*y - y for q. 1 Suppose -4*g = -3*h - 19, 8 = g - h - 3*h. Suppose -g*p = p - 15. Solve 5*c + b - 4 = -b, 6 = 2*c + p*b for c. 0 Let q(o) = -o**2 - 6*o - 6. Let r be q(-4). Let w = r - -3. Let t = 8 + -5. Solve t = h + 2*j - 8, 37 = w*h + 4*j for h. 5 Let g(b) = -4*b**2 + 3*b**2 - 3 - 5 - 8*b. Let r be g(-6). Suppose -x + 5*y + r = 11, 5*x + 5*y - 85 = 0. Solve 2*h - h - 4 = -q, 5*q = 2*h + x for h. 1 Let m = -42 + 70. Solve m = 2*n - 4*p + 4, -12 = -5*n - 2*p for n. 4 Let c be ((-1)/2)/((-3)/18). Suppose c*p = 4*p - 2. Suppose -18 = -p*r + 4*y, 2*r - 18 = 2*y - 4. Solve 5*z = -4*i - 0*z - 10, 20 = -2*i + r*z for i. -5 Let p = 31 + 5. Let y be ((-12)/14 - 0)*21. Let d = p + y. Solve d = 2*t + t - 3*m, 0 = -4*t + 2*m + 14 for t. 1 Let q(w) = 0*w + 5*w - 3*w - 2. Let o be q(2). Solve -2*t - 5*i - 35 + 7 = 0, -o*t - 24 = 4*i for t. -4 Let g be (-2)/(-7) - 10/(-14). Suppose y = -4 + 8. Let h = y - g. Solve -3*m + u = -3*u + 3, -5*m - h*u - 34 = 0 for m. -5 Suppose 2*t - 8 = -f, 5*f = 2*t - 28 - 4. Suppose -b - 3*x + 5 = 0, -b - x = -t*x + 3. Let r = 7 - b. Solve -p + 9 = -4*d - 2, -r*d - 1 = 3*p for p. 3 Let u = 27 - 5. Solve -5*c + 5*m = -30, -u = -3*c + c + 4*m for c. 1 Let s be (-5)/3*(-72)/60. Solve c = -4*n + 23, -s*n + 9 = n - 2*c for n. 5 Let i(r) = 2*r + 15. Let g be i(-7). Solve -m = -g, -n + 2*m - 6 = -0*m for n. -4 Suppose -3*f = f - v - 18, 5*f - 28 = 4*v. Solve -5*c + 3*j - 8 = -j, -f*c + 3*j = 6 for c. 0 Let j = -7 + 11. Suppose -j*z = -7 - 1, 3*z = 2*q. Solve -q*d - 14 = u, 4*d + 4*u = 5*u - 7 for d. -3 Let t(d) = d**2 - d. Let r be t(0). Let w be 33/44 + 13/4. Solve -f - 5 = r, 7 + 11 = 2*y - w*f for y. -1 Let u be 4/((-16)/(-10))*2. Let t be -1 + (0 + 5)*u. Solve -5*d + 4 = 2*h - 8, 2*d - t = 4*h for h. -4 Let g = 21 - 21. Solve -i = -2*h + 3 + 4, g = -5*i - 2*h + 25 for i. 3 Let h(q) = -q**3 + 1. Let j be h(0). Suppose j = 4*b - 63. Solve -z = -p - 6*z + b, p = -z + 4 for p. 1 Let x be -1*9/3*-1. Solve 5*g = 4 - 14, 0 = x*q + g - 10 for q. 4 Let c(s) = s**2 - 3*s - 1. Let d be c(4). Solve 0 = d*b + n - 9, -n + 3*n = 4*b - 22 for b. 4 Suppose -5*m + 32 = 7. Suppose 0*o - 95 = -m*o. Solve -4*s + f = -o, -4*f + 0*f = -s + 16 for s. 4 Suppose -10*k + 100 = -5*k. Solve -2*a - a + 2*r = -k, -2*a + 28 = -5*r for a. 4 Suppose s - 27 = -15. Solve 8 = -5*r + 2*o - 0*o, 4*r - s = -3*o for r. 0 Let u be 10/(-6)*12/(-4). Let p = u - 5. Suppose 0 = -p*q - 2*q. Solve 0 = 4*n + 4*c - 5*c, -5*n - 3*c = q for n. 0 Let w be 15/(-10)*(-3 - -1). Solve 0 = -w*z - 2*z + h - 27, 0 = -3*z + 4*h - 23 for z. -5 Suppose 2 = 2*m, 3 = 2*t - 0*m - m. Solve w + 1 = t*j, -4*w - 15 + 50 = 5*j for w. 5 Suppose r = -3*r + 4, -9 = -3*w - 3*r. Solve -3*i - 12 + 2 = w*j, -4*j = i for i. -4 Let b be (-2)/(-6)*3 + 1. Suppose -6*k = -b*k - 16. Solve -2*s = k, -7*r - s = -2*r - 3 for r. 1 Let u be (-6)/(-4) + 28/8. Suppose u*p - 3*x = 14, 0 = -0*p - p + 5*x - 6. Solve h - p*a + 0*a = -17, -4*h - a = 17 for h. -5 Let i(n) = -4*n + 11. Let r be i(-4). Solve -3*y + 6 = 0, 5*k + 5*y = r + 8 for k. 5 Suppose -5*f - 10 = -p, -2*p + 3*p - 2*f = 4. Solve -4*r - 3*s + 13 = -0*r, -4*r + s + 1 = p for r. 1 Suppose s = 5*i - 20, s + 3*s + 35 = 5*i. Solve -5*n - i*h = -6*h + 23, -2*n = -4*h + 12 for n. -4 Suppose -4*i + 8 = -2*i. Let a(y) = -y - 8. Let p be a(-6). Let h be i + 37 + 2/p. Solve 2*n - 5*n = -2*w - 2, -h = -5*n - 4*w for n. 4 Suppose -8 = -19*b + 17*b. Solve -z + 4 - 7 = -p, b = 2*p - 4*z for p. 4 Let n = -71 + 49. Let m = n - -28. Solve w - m*p = -p + 13, 0 = 5*w + p - 13 for w. 3 Let x(a) = -3*a - 3. Let w be x(-2). Let p = w - -1. Suppose -4 - p = -2*b. Solve -4*m + 10 = l, b*l + 2 = 2*m + 6 for m. 2 Suppose -21*r + 66 = -18*r. Solve 3*s - 12 = 3*p, -5*p - r = 3*s - 6*s for p. -5 Let d = 1 + 31. Let c = -22 + d. Solve -3*q + c = -h, -15 = 2*q + 5*h - 50 for q. 5 Suppose 5*a - 10*d + 15*d - 135 = 0, -5*d = -2*a + 26. Solve 2*p - 10 = 4*k, -4*k = k + p + a for k. -4 Let l be (-2)/(-3) + 26/6. Suppose -10 = -l*o - 0*o. Suppose -o*s + 12 = s. Solve -s*h = -3*h - d, -3*h - 2*d = 25 for h. -5 Let m = -28 + 33. Solve 2*s - 5*h + m = 0, -h + 2 + 16 = 3*s for s. 5 Let z(g) = g + 12. Suppose 2*c + 0*c + 18 = 0. Let v be z(c). Solve -v*w + 9 = -5*q, 4 = -w - 4*q - 10 for w. -2 Suppose 38 - 8 = 6*w. Solve -3*t + 3 = 4*c, -w*t + 1 = c - 4 for t. 1 Let w = 1 - 1. Suppose 5*s - 4*v = 33, -v + 13 = 3*s - w*s. Solve -q = -s, b - 2*q + 10 = -3 for b. -3 Suppose 5*f - 22 = 3. Let w = -13 - -4. Let q = -6 - w. Solve q*j = s - 6, 0*j + f*j = -5 for s. 3 Suppose -m - 2 = -3*m. Let a = 5 + m. Let k be (-2)/(-6) - (-22)/a. Solve 0*i = -2*i - 3*l - 5, 0 = -k*i + 3*l - 1 for i. -1 Suppose 4*t - 3*t = 3*g - 4, -8 = 2*t. Let p = 18 - 13. Suppose p*f + 19 = b, 4*b - 4 - 40 = 4*f. Solve b = -3*a - g*i - 2*i, a - 8 = 3*i for a. -1 Let p be 30/6*(-2)/(-5). Suppose p*t - 6 = 2. Solve t*k - 5*i + 6 = 0, -i = k + k + 10 for k. -4 Let v(o) = -o**2 + 3*o - 1. Let w be v(3). Let k be (2 + -1)/(w/4). Let b be 0*1/k*2. Solve -5*x = -3*i - b*x - 18, -9 = -3*x for i. -1 Suppose 5*n = 3*n + 8. Solve 0 = 3*p - 5*a + n, -14 = -3*p - 0*p - 4*a for p. 2 Let i(t) = t**2 + 6*t - 9. Let m be i(-7). Let w = 0 - m. Solve -d - 3 = u - 2*d, 0 = -w*d - 2 for u. -4 Suppose 2*p + 0 = 4. Let b = -33 - -34. Solve p*c - 3*c - b = -2*y, 21 = 3*y + 5*c for y. 2 Let g be 0*(-1)/(-3)*3. Suppose 2*b + v = -g*v + 5, 9 = 3*b + 3*v. Solve 4*f - 14 = 2*f + b*j, -5*f - j = -23 for f. 5 Let j(c) = -c**2 + 4*c + 4. Let z be j(4). Solve z*b - 16 = 8*b, 5*t - 2*b = -7 for t. -3 Let s = -8 + 13. Suppose t - s = -23. Let y be (-86)/t - (-2)/9. Solve -g + y*n = 4*g, -3*g - 2*n = -10 for g. 2 Let g(n) = -8*n**3. Let s be g(1). Let p be (s + 5)/(1/(-1)). Solve 0 = o - 0*a - 4*a - 2, o + p*a = -5 for o. -2 Suppose -v - 25 = -6*v. Suppose -2*c = -3 - v. Solve 0 = c*o + 4*b + 20, -2*o - 3*b = -o + 9 for o. -3 Let w = -10 - -8. Let f be (w - -1)/(-1)*0. Solve -4*v + 24 = -4*p, 4*p + 4*v + 10 + 6 = f for p. -5 Suppose p - 3*p + 30 = 4*c, -2*p = -5*c + 15. Suppose -2*f + f = -p. Solve -4*o - 4*m = -2*o + 12, f*o - 5*m = 30 for o. 2 Let u = -15 - -17. Let a = 19 - u. Suppose 0 = 4*n - 2 - 10. Solve c = -q - 6, -a = n*q - 5*c - 7 for q. -5 Suppose 0 = -2*s - 10, h = -5*s - 21 - 10. Let o = h + 9. Solve 15 = -2*g - 5*n - 3, 0 = o*g - 2*n - 11 for g. 1 Let i(j) = -j**3 + 6*j**2 - 4*j - 1. Let d be i(4). Solve 3*c + 0*q - 3*q = d, -4*c - 3*q = -6 for c. 3 Let a be (-20)/(-5) - (2 + -1). Solve -5*d + 25 = -a*l, l + 2*d - 10 = -0*d for l. 0 Suppose -3*k = b + 9, 2*k + 25 = -3*k. Let j(u) = -u**2 + 7*u - 2. Let i be j(b). Solve -12 = 4*x + i*m, 0*m = -5*x + 2*m - 15 for x. -3 Suppose -22 = -2*l - 7*d + 4*d, 5*d = -3*l + 35. Solve 5 = l*h, -2*h = -5*t - h + 19 for t. 4 Suppose 6*g - 42 = 24. Solve -v + 9 = -2*u, -u + 5*v = -5*u - g for u. -4 Let r(o) = -2*o - 7. Let u be r(-6). Solve 2*y = 4*w + 8 + 8, 5*y + u = -5*w for y. 2 Suppose 0 = l + 4, 4*l + 0*l - 44 = -5*p. Let c(a) = a**2 - 13*a + 16. Let u be c(p). Solve -u*z + 5*z = 2*m - 3, -z = 3*m - 17 for m. 4 Suppose 9 + 26 = 5*w. Solve -4*n = 4*z + w - 31, -14 = -5*z + 3*n for z. 4 Let p(f) = -3*f**2 + f + 8. Let z be p(0). Solve -o = 2*v - 1, -o + 1 = -z*v + 4*v for v. 0 Let l = -42 + 44. Solve 4*c + 0*c = 2*t - 14, l*t - 4 = 2*c for t. -3 Let i(s) = s + 18. Let b be i(0). Solve u + b = -3*a, -5*u - 4*a + 2*a = 25 for u. -3 Let o be 1 + 2/(-3 + 5). Solve -4*n = 3*i + 1, -o*n + 4*i + 18 = n for n. 2 Let p be (1/3)/((-40)/(-36) + -1). Suppose 3 = 3*v - f + 9, -5*v - 5*f - 10 = 0. Let u = 0 - v. Solve d + 3 = -b, -u*b - 7 = p*d + 3 for d. -4 Suppose -10*t + 30 + 120 = 0. Solve t = 3*q - 0*q, -4*q + 12 = 4*j for j. -2 Suppose 0 = b + 4*d + 10, 0 = -4*b - 0*b + 3*d + 17. Let f(c) = c**3 - 8*c**2 - c + 10. Let o be f(8). Solve 0 = o*s + 5*l + 16, b*s - 2*l - 2 = -4 for s. -3 Suppose 3 = 3*a - 3. Suppose 0 = -a*z + 4*z - 16. Let f(l) = -l**2 + 10*l - 2. Let p be f(z). Solve -7 = -3*u + 2*u + s, -p = -4*u - 3*s for u. 5 Suppose 3*s + 3 = v, -3*s + 24 = -5*v + 3. Let p = v - -15. Solve 4*q = -4*j + 24, 3*j - 24 + p = -2*q for j. 3 Suppose -4*w = -2*w. Suppose w = t - 2*t + 2. Solve 4*h = -3*r + t*h - 21, 0 = -2*r + 4*h + 2 for r. -5 Suppose 0 = q - 2. Suppose q*h + 4 = -4*w - 2*h
{ "pile_set_name": "DM Mathematics" }
a + -26. Let u(v) = -3*v - 2. Determine u(j). -8 Let n = -1 + -9. Let h(d) be the second derivative of -1/6*d**3 + 0 - 5/2*d**2 - 24*d. What is h(n)? 5 Let i(k) = 4*k + 38 + 29 + 36 + 44 - 120. What is i(-11)? -17 Suppose -2*s - 14 + 12 = 0, -2*o + 4*s + 50 = 0. Let h(t) = 11 - o + 10 + 6*t. Calculate h(6). 34 Let c(v) be the second derivative of -v**5/20 - v**4/6 + v**3/6 - v**2/2 - 4*v - 285. What is c(-6)? 137 Suppose -190*t = -187*t - 57. Let u(l) be the first derivative of t + 7/2*l**2 - 1/3*l**3 - 3*l. Calculate u(6). 3 Let z be 4/(-8)*2/1 - -1. Suppose -2*i + 2*l = -z*i, 5*i - 6 = -l. Let j be (-24)/(-8) - (-2)/i. Let d(f) = 5*f - 4. Calculate d(j). 21 Suppose -8*u = -15 - 25. Let g(o) = -u + 1 + 0*o + 5*o - 3*o. Let y be (10/(-5))/4 - (-18)/4. Determine g(y). 4 Let o(q) = -2*q + 8. Let m(f) = -2*f + 5. Let w(h) = 7*m(h) - 5*o(h). Let a = 0 + -6. Determine w(a). 19 Let w(r) be the third derivative of -r**6/24 - r**5/60 - 1433*r**2. Let t(g) = -g**3 - 10*g**2 + 23*g - 11. Let x be t(-12). Determine w(x). -6 Suppose 22*m = 197 + 111. Suppose 4*v + 0*l - 65 = 5*l, 5*v - 103 = -l. Let k = m - v. Let p(b) = -2*b - 5. Determine p(k). 7 Let t be (-1 - 4) + 24 + -24. Let o(f) = 4*f + 17. Calculate o(t). -3 Let t(f) = 366 - 747 + f + 369. Suppose -4*x - 8 = 0, -3*c + 28 = -2*x + 6. What is t(c)? -6 Let t(g) = g**3 + 10*g**2 - 12*g - 2. Let z be t(-11). Let f(j) = -10 + 2*j**2 + 3*j - j**2 + z - 1. Suppose 29*x - 31*x - 8 = 0. Give f(x). 2 Suppose -8 = 3*w + 4, 5*q - 2*w + 82 = 0. Let a be 3 + 5/(15/q). Let p be 2/6*a*1. Let s(u) = 19*u**2 + 2*u + 1. Determine s(p). 18 Let s(h) = 3*h**3 - 2*h**2 - 2*h + 1. Let l(z) = 2*z**2 + 38*z + 26. Let n be l(-13). Let g = n - -136. Suppose g*w + 24 = 36. Determine s(w). 13 Let q(u) be the third derivative of u**4/8 - 28*u**3/3 - 10*u**2. Let j = 596 - 579. Calculate q(j). -5 Let j(u) = -15*u + 1. Let g = -278 - -281. Let r be (g + 0 + -4)/1. Give j(r). 16 Let b(k) = -6 + 4*k - 1 + 2*k - 7*k + k**2. Let u be 8/2 - 3 - -21. Suppose -4*g + y = -23, g = -4*g - y + u. What is b(g)? 13 Let b(z) = -26*z - 22. Let f(j) = 3*j + 2. Let m(v) = 3*b(v) + 24*f(v). Give m(10). -78 Let s(c) = 4*c - 45. Let z be s(9). Let d be (-66)/(-2)*3/z. Let o(a) = 2*a + 9. Determine o(d). -13 Let o(c) = -4*c**2 + 17*c + 19. Let b(l) = l**2 - l - 1. Let g(u) = 5*b(u) + o(u). Give g(-8). -18 Let k(q) = -2*q + 2. Let o(y) = -y - 3. Let i(s) = -3*k(s) + 5*o(s). What is i(27)? 6 Let g = -1021 + 1016. Let r(u) = 10*u + 1. What is r(g)? -49 Let j = 31 + -23. Suppose -3*q = -g - 2, -2*q - j = -3*g - 0. Suppose 5 = -g*p + 3*p. Let b(m) = -m**2 - 5*m + 1. What is b(p)? 1 Let y(z) = -10*z - 42. Let p be y(-7). Let h(n) = -61*n + p*n**2 + 31*n + 29*n. Determine h(1). 27 Let u(h) = h**2 + 16*h - 34. Let o be u(-18). Let f be 0 - (-3 - -6)*(1 + -2). Let y(m) = -3*m + f*m + 2 - 4*m. Give y(o). -6 Let x(c) = -5*c + 9. Let l be -1*29/(-9) - (-46)/(-207). Suppose 5*r = 3*r + l*s, 3*r - 3*s = 6. What is x(r)? -21 Let u(o) be the second derivative of o**4/12 + 4*o**3/3 - 1037*o. Give u(-8). 0 Let b(r) = r**2 - 2*r - 5. Let h(t) = t**2 - 7*t + 5. Let l = 70 + -70. Suppose 2*w = -l*w + 14. Let p be h(w). Calculate b(p). 10 Let t = 1139 + -1129. Let v(y) = 2*y - 14. Give v(t). 6 Let t(r) = -2*r**2 + 37*r - 10. Suppose -131*u + 782 = -1058 - 518. Calculate t(u). 8 Let q be (-7 - -7)*3/15 - -3. Let j(r) = 9*r - 13*r + r + 6*r - q*r**2. Give j(2). -6 Let i(f) = 2*f**3 - 18*f**2 - 2*f + 8. Suppose 0 = 4*q + 20, 113*y - 116*y - 3*q = -12. What is i(y)? -10 Let l(x) be the first derivative of -x**6/120 - x**5/10 - x**4/24 + x**3/2 - 7*x**2 + x + 38. Let k(p) be the second derivative of l(p). Calculate k(-6). 9 Let m be (43 - 42)*(2*-1 + 6). Let p(v) = 7*v - 4. Determine p(m). 24 Let q(x) = -20*x**2 + 14*x**2 + 0*x + 3*x**2 + 5*x**2 + 2*x - 9. Calculate q(2). 3 Let p(a) be the third derivative of 0*a - 1/3*a**3 - 1/120*a**6 - 1/24*a**4 - 194 + 2*a**2 + 1/20*a**5. Give p(4). -22 Let g(j) = 2*j**2 + 22*j + 25. Let p(q) = q**2 + 11*q + 13. Let h(z) = -4*g(z) + 7*p(z). Suppose 5*o - 2*v + 50 = 0, -5*v + 30 = 28*o - 31*o. Determine h(o). 1 Suppose -205 = -4*g - h + 6*h, -h = 1. Suppose -479*u = -484*u - g. Let o(c) = 5*c + 8. Give o(u). -42 Let c be -1 + 0 + 9/((-45)/(-10)). Suppose -4*f - 4*k + 36 = 0, -5 = -2*k - c. Let q(d) = 7*d**2 + d**3 + 1 - 2*d**3 + 1. Determine q(f). 2 Let n(y) = -6*y - 38. Let j(g) = -g**3 + 2*g**2 + 358*g - 46. Let p be j(-18). What is n(p)? 22 Let y(z) = z**3 - z**2 + 8. Suppose -5*c = -3*k + 7, 2*c = 4*k - 15 + 1. Suppose -5*l = -o - 15, k*l - 12 = 6*o - 8*o. What is y(o)? 8 Let m(s) = -3*s**2 - 3*s + 2. Let q(i) be the second derivative of i**5/20 + i**4/6 - i**3/6 + i**2/2 + i + 30. Let b be q(-1). What is m(b)? -34 Let i be -8 + (-13 - -8)/(-5)*(10 - 3). Let t(v) = 13*v**2 + 12*v + 12. What is t(i)? 13 Let t(j) = -j**3 + j - 1. Let k(v) = 6*v**3 - 8*v + 8. Let o(f) = k(f) + 5*t(f). Suppose 0 = -5*i - 255 + 240. Give o(i). -15 Let n(x) = x**3 + 3*x**2 + 3*x + 4. Let o = 9 + -5. Let k = -4065 - -4076. Suppose -5*h - k = -u, h - u - 17 = o*u. Calculate n(h). -5 Let i(c) = -52*c**2 + 3*c - 2. Let q = 9260 + -9259. What is i(q)? -51 Let k(x) = 290 + 2*x - 610 + 333. What is k(-6)? 1 Let t = -2301 - -2300. Let o(z) = 3*z**2 - 3. Calculate o(t). 0 Suppose 16*s + 80 = 48. Let p(l) = -8 + 4 - 2*l - 1 + 2. Determine p(s). 1 Let k(z) = 2*z**2 + 12*z + 27. Let o(u) = -10*u - 123. Let a be o(-12). Let s be k(a). Let r(b) = -b**3 + 8*b**2 + 9*b - 2. What is r(s)? -2 Let b(l) = 3*l**3 - 270*l**2 - 276*l + 266. Let v be b(91). Let f(t) = t**2 + 6*t - 20. Determine f(v). -13 Let i(d) be the second derivative of 5*d**3/3 - d**2/2 - 3*d. Suppose 0 = -2*m - 2 + 10. Suppose -m*j = -0*j - 4. What is i(j)? 9 Let a(s) = 123*s - 25. Let l(o) = 338*o - 74. Let b(x) = -11*a(x) + 4*l(x). What is b(-9)? -12 Let c be (-4)/(-22) + (-36)/(-44) + 2. Let x(a) = 12463*a + 0*a**c - 12459*a - a**3 + 4*a**2. Determine x(5). -5 Let c(u) = 5*u - 1. Let b = -17 - -19. Let y(d) = -b*d + 3 - 19*d + 1. Let w(n) = 26*c(n) + 6*y(n). Give w(-3). -14 Let k(h) = 2*h**3 - 11*h**2 + 13*h + 4. Let a(x) = 136*x + 1092. Let i be a(-8). Give k(i). 8 Let l = 432 - 435. Let j(x) = -2 - 8*x**2 - 5 + 6*x**2 + 3*x**2. Give j(l). 2 Let s be (1302/124)/(0 + 3/4). Suppose 13*h = -92 + s. Let g(p) = p**2 + 12*p + 1. What is g(h)? -35 Let f(w) be the third derivative of w**5/60 - 7*w**4/6 + 23*w**3/2 + 250*w**2. Calculate f(25). -6 Let d(l) = -2*l**3 - 8*l**2 - 6*l - 4. Suppose 189*o + 765 = 24*o - 90*o. Calculate d(o). -4 Let f(l) = -402*l + 1600. Let o be f(4). Let p(s) = 9*s + 57. Give p(o). -15 Let c(r) = -r**2 - 5*r + 4. Let x(i) = 9*i - 8. Let n(l) = -7*l**2 + 3*l + 2. Let w be n(-1). Let s be x(w). Let y = -86 - s. Determine c(y). -2 Let i(q) = -q**3 + 11*q**2 - 9*q - 12. Suppose -w = -10*t + 13*t + 272, -3*t = 3*w + 828. Let h = 288 + w. Give i(h). -2 Suppose 0*d + 43*d - 73 - 99 = 0. Let c(s) be the third derivative of 0 - 1/60*s**5 - 6*s**2 - 9/40*s**6 + 0*s + 1/24*s**d - 1/6*s**3. Give c(1). -28 Let y(a) = -a + a**2 - 2*a + 2*a**2 + 3. Let u(f) = -34*f - 257. Let o be u(-8). Let t(c) = c**3 - 20*c**2 + 75*c + 2. Let x be t(o). Give y(x). 9 Let x(g) = g**3 + 5*g**2 + 3*g - 1. Let y be 1/(-4) + 13/4. Let s be (4 - y) + 4/(-1) - 1. Determine x(s). 3 Let a(r) = -r**2 - 12*r - 4. Suppose 0 = 7*t - 11*t + 12. Suppose t*q - 589 = -616. Calculate a(q). 23 Suppose 0 = -2*q - 3*o - 12, 0 = 2*q - 24*o + 22*o - 8. Let b(p) = q + p - 3 - 2 - 1. Let f be -1 - 4/1*-2. Give b(f). 1 Let f(z) = 24*z - 1. Let m(t) = 65*t + 52. Let n(c) = -6*c - 5. Let o(b) = 5*m(b) + 52*n(b). Let j(d) = -6*f(d) + 11*o(d). Give j(4). 2 Let v(j) be the third derivative of -5*j**4/12 + j**3/6 - 2*j**2 - 10*j. Calculate v(2). -19 Let i(v) be the third derivative of -v**5/30 - 23*v**4/12 - 17*v**3/2 + 3*v**2 - 8. Calculate i(-22). -7 Suppose -3*i = -3*m + 114 - 51, 4*i - m + 72 = 0. Let b(t) = -t**2 - 12*t + 19. Give b(i). -66 Let b(l) = -l**3 - l**2 - 3*l - 2. Let o(d) = 4*d**3 - 3*d**2 + 19*d - 1. Let z(x) = -3*b(x) - o(x). Calculate z(4). -1 Let p(s) = -3*s**2 + 5*s - 6. Let v(c) = -5*c**2 + 10*c - 11. Let j(a) = -a - 10. Let b be j(-17). Let m(n) = b*p(n) - 4*v(n). What is m(-7)? -12 Let m(t) = -199*t**3 - 208*t**3 - 4*t
{ "pile_set_name": "DM Mathematics" }
2025010 a multiple of 70? True Does 1902 divide 40369522? False Is 80 a factor of 353975680? True Is 25 a factor of 1396022687? False Does 52 divide 24311716? True Is 253849700 a multiple of 325? True Is 17 a factor of 581282269? False Is 74013658 a multiple of 46? False Does 22 divide 4851430? False Is 16 a factor of 209387471? False Does 4801 divide 522348800? True Is 249 a factor of 17850312? True Does 15 divide 2304611031? False Does 41 divide 192270648? True Is 11558096 a multiple of 81? False Is 55626413 a multiple of 146? False Does 41 divide 557804180? True Does 6868 divide 214467036? True Does 6 divide 989922? True Is 8559038 a multiple of 43? False Is 44 a factor of 556273064? False Does 583 divide 365916452? True Is 231 a factor of 378744135? True Does 18 divide 69425838? True Is 874 a factor of 2502009414? True Does 465 divide 918760855? False Does 4 divide 29620183? False Does 103 divide 115942053? True Is 30 a factor of 27053092? False Is 96594576 a multiple of 312? True Is 38053095 a multiple of 260? False Is 142350027 a multiple of 19? False Is 29 a factor of 618564403? True Does 110 divide 876519928? False Is 1558 a factor of 442459536? True Is 5 a factor of 85821815? True Is 1256499993 a multiple of 1491? True Does 413 divide 1790355? True Is 2330 a factor of 38116470? True Is 914451982 a multiple of 207? False Does 2209 divide 38800815? False Is 105789348 a multiple of 1107? True Is 187 a factor of 8600927? False Does 4 divide 23642349? False Is 103 a factor of 308637337? True Is 13437035 a multiple of 57? False Is 7858 a factor of 1779813426? True Is 84093237 a multiple of 51? True Does 3376 divide 4345091041? False Does 4 divide 7717308? True Is 55 a factor of 44371271? False Is 10939001 a multiple of 130? False Is 147300102 a multiple of 6? True Is 4293850 a multiple of 185? True Is 12 a factor of 177207012? True Is 1016 a factor of 2538930777? False Is 7110 a factor of 841457402? False Is 10 a factor of 69621890? True Is 16799944 a multiple of 238? True Is 110 a factor of 408320? True Is 1068 a factor of 7134710? False Is 139 a factor of 13025412? True Is 210 a factor of 4534491360? True Is 13 a factor of 124401076? False Is 70288584 a multiple of 101? False Is 570 a factor of 502487940? False Does 17 divide 181966514? False Does 15 divide 13951284? False Does 402 divide 15291786? False Does 154 divide 9332092? True Does 39 divide 99417186? False Does 236 divide 517368876? True Is 3638 a factor of 374096355? False Is 18803030 a multiple of 890? True Is 960 a factor of 53382720? True Is 116218107 a multiple of 9? True Is 11 a factor of 326428729? True Does 38 divide 391873907? False Is 260443548 a multiple of 2803? True Is 1610288424 a multiple of 9288? True Does 335 divide 259051145? True Is 23 a factor of 86064229? True Is 230858096 a multiple of 247? False Is 9 a factor of 31613141? False Does 17 divide 456775278? True Is 95355284 a multiple of 55? False Does 781 divide 387794616? True Is 870159960 a multiple of 20? True Is 679 a factor of 44833994? False Does 822 divide 22164408? True Is 192827590 a multiple of 29? False Is 1464854858 a multiple of 53? False Does 5 divide 13058824? False Is 35868037 a multiple of 487? True Is 1845365468 a multiple of 58? True Is 17 a factor of 31934279? True Is 601094699 a multiple of 10063? False Is 128 a factor of 956553984? True Is 16007192 a multiple of 25? False Does 1366 divide 53071201? False Is 54 a factor of 231096294? True Is 872 a factor of 93355414? False Is 37332944 a multiple of 1892? True Is 85 a factor of 46597595? True Is 286276066 a multiple of 214? False Does 62 divide 265264104? False Is 116 a factor of 328184184? True Is 184 a factor of 1643156064? True Is 1366 a factor of 19951102? False Is 3502509088 a multiple of 416? True Is 257753341 a multiple of 13? False Does 901 divide 2408442690? False Is 412 a factor of 2870960? False Does 39 divide 650199678? False Does 380 divide 845410? False Does 14 divide 20327286? True Does 123 divide 29259855? True Does 1677 divide 2817041370? True Does 331 divide 643241808? False Is 6655276829 a multiple of 14434? False Does 828 divide 10559484? True Is 584653620 a multiple of 60? True Does 18 divide 19498492? False Is 15 a factor of 354635937? False Is 2154 a factor of 1274635962? True Does 3195 divide 110070945? True Does 1348 divide 18836952? True Does 3221 divide 307218821? False Does 36 divide 80554440? False Is 1337 a factor of 51507051? False Is 28 a factor of 105421904? True Does 7 divide 817934? False Is 10 a factor of 175088356? False Does 14 divide 277243470? True Is 4815 a factor of 1535352740? False Is 109 a factor of 390063903? False Is 342854204 a multiple of 452? True Is 1566 a factor of 5480010? False Is 31 a factor of 54305674? False Is 1436362 a multiple of 123? False Is 17 a factor of 64696752? False Is 97 a factor of 27464355? False Is 39081328 a multiple of 21? False Does 20 divide 2769780? True Does 4802 divide 202149794? True Is 3401 a factor of 1032166089? True Does 25 divide 429699550? True Does 808 divide 5057623138? False Is 23 a factor of 278018411? True Does 1612 divide 106514512? True Is 288 a factor of 2132284090? False Does 530 divide 249944883? False Is 28705502 a multiple of 122? True Is 154 a factor of 460084199? False Does 10 divide 185127240? True Is 512 a factor of 75092595? False Is 258835566 a multiple of 4026? True Is 29676920 a multiple of 434? True Is 5 a factor of 11616600? True Is 3230 a factor of 154410150? True Is 5927452440 a multiple of 420? True Does 1157 divide 24941449? True Is 10219768 a multiple of 676? True Is 1600 a factor of 326772015? False Is 19999150 a multiple of 344? False Does 270 divide 3639713? False Does 3136 divide 373761024? True Does 62 divide 215557900? False Is 241202568 a multiple of 339? True Does 2832 divide 49266592? False Is 114488244 a multiple of 18? True Does 963 divide 234000928? False Is 9784827 a multiple of 155? False Does 6082 divide 3541755388? True Is 3146 a factor of 1184831863? False Is 65 a factor of 161469016? False Does 20 divide 3200314? False Is 9160 a factor of 2274965855? False Is 840 a factor of 114685200? True Is 109 a factor of 57365610? True Does 1774 divide 49959388? True Is 2811 a factor of 2297260541? False Does 627 divide 57575384? False Is 11 a factor of 237604826? False Is 5433 a factor of 1831030407? False Is 99080331 a multiple of 3? True Is 9 a factor of 17368710? False Is 92 a factor of 74479002? False Is 1154 a factor of 19637618? True Is 11576544 a multiple of 107? True Does 457 divide 179578350? False Does 14 divide 3869321925? False Does 181 divide 42708036? True Is 4219635 a multiple of 35? True Does 92 divide 61185428? True Is 66 a factor of 1906117295? False Does 2518 divide 97978549? False Does 1039 divide 3456953527? True Is 13 a factor of 124024256? False Is 153651750 a multiple of 74? True Does 12 divide 12156096? True Is 72462863 a multiple of 11? True Does 67 divide 10224535? True Does 15 divide 417609750? True Is 16 a factor of 22854892? False Is 119 a factor of 10187487? False Does 250 divide 1988845830? False Does 91 divide 480080432? False Is 24442992 a multiple of 24? True Is 205 a factor of 97368354? False Is 2321010 a multiple of 10? True Is 120587268 a multiple of 181? True Does 4 divide 1070920? True Is 496 a factor of 17919488? True Is 13688048 a multiple of 22? True Is 320 a factor of 1094016337? False Is 139475346 a multiple of 1512? False Is 1176 a factor of 203608190? False Is 40675352 a multiple of 19? True Is 11080053 a multiple of 419? False Does 885 divide 3165645? True Is 2892689264 a multiple of 16? True Is 2405700 a multiple of 8748? True Is 222294252 a multiple of 3? True Does 13 divide 555765652? True Is 198 a factor of 201070188? True Does 89 divide 4732721? False Does 3 divide 31920909? True Does 523 divide 26890842? False Is 18 a factor of 1223863776? True Is 13 a factor of 399360715? True Is 24 a factor of 779447376? True Is 118 a factor of 16199998? False Is 612619152 a multiple of 444? False Does 98 divide 127878987? False Does 4 divide 245916954? False Does 7753 divide 187117481? False Is 22567082 a multiple of 21? False Does 262 divide 469620577? False Is 28456730 a multip
{ "pile_set_name": "DM Mathematics" }
*v - 4. Let u(t) = 10*t**2 - 3*t + 3. Determine 3*k(h) + 4*u(h). 7*h**2 Let i(s) = -28*s - 16. Let x(b) = -7*b - 4. Give 2*i(o) - 9*x(o). 7*o + 4 Let p(t) = -t**2 + 1. Let c = 20 + -17. Let z(f) = f**2 - f - 3. Give c*p(r) + z(r). -2*r**2 - r Let h(y) = -1. Let w(c) = c - 39. Give -6*h(n) + w(n). n - 33 Let s(c) = 5*c - 9. Let j(v) = 2*v - 4. Let f be -1*(-3 - -4) + 7. Determine f*s(q) - 14*j(q). 2*q + 2 Let l(f) = -4 + 7 - 4*f - 5*f. Let n(r) = 14*r - 5. Let x(b) = -b**3 - 8*b**2 + 7*b - 13. Let h be x(-9). Give h*n(k) + 8*l(k). -2*k - 1 Let z(f) = -5*f**2 - 11*f - 6. Let u be ((-4)/3)/((-5)/15). Let o(i) = -i**2 - 2*i - 1. Calculate u*z(n) - 22*o(n). 2*n**2 - 2 Let n(r) = -24*r + 14. Let d(m) be the third derivative of -5*m**4/24 + m**3/2 + m**2. Suppose 0 = 3*a + 2*a - 70. Calculate a*d(o) - 3*n(o). 2*o Let o(x) = 2*x**2 + 4*x. Let p be 2 + (-3)/(-9) - 14/(-21). Let d(b) be the second derivative of -b**4/6 - b**3/2 - b. Calculate p*o(k) + 4*d(k). -2*k**2 Suppose l + 2*i + 2 = 0, -4*l = -i - 6 - 4. Let m(u) = -4*u**3 + 2*u**2 + u. Suppose 12*g = 93 + 15. Let n(p) = 17*p**3 - 8*p**2 - 4*p. What is g*m(r) + l*n(r)? -2*r**3 + 2*r**2 + r Let i = 535 - 529. Let g(k) = -k + 1. Let l(t) = -1 + 8*t - 3 - 2. What is i*g(r) + l(r)? 2*r Let y(o) = 2*o**3 + 2*o. Let i(l) be the third derivative of l**4/24 + 17*l**2. What is 4*i(h) - y(h)? -2*h**3 + 2*h Let z(m) = -m**3 + 2*m**2 - 2*m + 2. Let a(p) = -4*p**3 + 9*p**2 - 9*p + 9. What is 4*a(s) - 18*z(s)? 2*s**3 Let d(k) = k**2 - k - 1. Let m(w) = 2*w + 3. Determine 4*d(c) + m(c). 4*c**2 - 2*c - 1 Let l(w) be the third derivative of -w**6/12 + 13*w**5/30 + 11*w**4/24 - w**3 + w**2 + 32. Let d(k) = 2*k**3 - 5*k**2 - 2*k + 1. Calculate 11*d(s) + 2*l(s). 2*s**3 - 3*s**2 - 1 Let m(y) = -5*y**2 - 2*y. Let j = 16 + -11. Let u(w) = -6*w**2 - 3*w. Determine j*m(h) - 4*u(h). -h**2 + 2*h Let f = 37 - -40. Let h(q) = 3*q**2 - 2*q**2 - 78 + f - 2*q. Let m(x) be the second derivative of -x**4/4 + 7*x**3/6 + 2*x**2 + 2*x. Give -14*h(s) - 4*m(s). -2*s**2 - 2 Let y(v) = 870*v**3 - 135*v + 135. Let i(z) = -13*z**3 + 2*z - 2. What is 135*i(c) + 2*y(c)? -15*c**3 Suppose -2*z = 3*o + 5, -2 = 2*o + 4*z + 4. Let c(a) = a + 1. Let k(w) be the second derivative of -w**5/20 - w**3 - 3*w**2 - 2*w. Determine o*k(j) - 6*c(j). j**3 Let l(m) = m - 1. Let t(f) = -2*f + 2. Let s(i) = -7*l(i) - 4*t(i). Let x(b) = -b**3 - 4*b. Give 2*s(d) + x(d). -d**3 - 2*d - 2 Let y(h) = h**2 + 5*h. Let t(q) = -q. What is -5*t(o) - y(o)? -o**2 Let t(r) = -21*r. Let m(b) = -4*b. Let f(p) = -11*m(p) + 2*t(p). Let a(v) = -7*v + 3*v - 2*v. Let c = 9 - 26. Calculate c*f(k) - 6*a(k). 2*k Let p(c) = -4*c + 8. Let h(w) be the third derivative of -7*w**4/24 + 5*w**3/2 - 5*w**2. What is -6*h(v) + 11*p(v)? -2*v - 2 Let c(r) = 2*r**3 + 2*r. Let a(f) = 2*f**2 + 10*f + 2*f**2 + 4*f**3 - 5*f**2 + 6*f**3. Calculate -2*a(v) + 11*c(v). 2*v**3 + 2*v**2 + 2*v Let p(h) = h**2 + 5. Let w(l) = l**3 + 4*l**2 - 9*l + 13. Let y be w(-6). Let k(n) = 0 + 2 + 0. Calculate y*k(v) + 2*p(v). 2*v**2 Let t(d) = -2*d + 5. Let r(z) = 2*z - 5. Calculate -7*r(j) - 6*t(j). -2*j + 5 Let x(i) = 23 + 3*i - 3*i - 12 + 14*i**2 + 14*i. Let o(d) = 5*d**2 + 5*d + 4. Give -11*o(p) + 4*x(p). p**2 + p Let p(n) = n - 1. Let i be p(7). Suppose 2 = g - 0*g. Let x(z) = 2 + 3 + 5*z**2 - g*z - 5. Let v(u) = -4*u**2 + 2*u. Give i*v(c) + 5*x(c). c**2 + 2*c Let j(c) = -28*c**3 + 5*c**2 - 5. Let q(y) = 630*y**3 - 112*y**2 + 112. What is -112*j(b) - 5*q(b)? -14*b**3 Let i(u) = -5*u**2 - 2*u + 8. Suppose 8 = -10*z - 2. Let g(t) = -1 - t**2 + 0*t**2 + 2. What is z*i(q) + 6*g(q)? -q**2 + 2*q - 2 Let c(w) = 5 + 2*w + 0 - 2*w**2 - w**2. Let i(j) = 8*j**2 - 6*j - 14. Let v be (-5)/(-20) + 43/4. Calculate v*c(m) + 4*i(m). -m**2 - 2*m - 1 Suppose -2*j - 3*j = -w - 30, 2*w + 4*j - 10 = 0. Let f(d) = -1. Let y(a) = -a - 5. Let m be -1 - (-4)/6*3. Determine m*y(b) + w*f(b). -b Let x(d) = -4*d - 2. Let s be 14/(-3) - (-6)/(-18). Let m(q) = -5*q - 3. What is s*m(f) + 6*x(f)? f + 3 Let d(y) = 2*y + 5. Let r(i) = -2*i - 6. Suppose f - 5*v - 5 = 0, -5*f + 8*v = 3*v - 25. Give f*d(n) + 4*r(n). 2*n + 1 Let y(r) = 13*r**2 + 9. Let w(l) be the third derivative of l**5/20 + l**3/3 + 6*l**2. What is -9*w(g) + 2*y(g)? -g**2 Let r(v) be the third derivative of 5*v**4/24 - 4*v**3/3 - 63*v**2. Let h(c) = -1. What is 6*h(f) - r(f)? -5*f + 2 Suppose -5*k - 3*n - 65 = 0, -k + 15 = 3*n - 8*n. Let y = 21 + k. Let t(a) = -4*a. Let p(b) = 7*b. Determine y*t(i) + 6*p(i). -2*i Let w(c) = -82*c**2 - c - 2. Let f(m) = m + 1. Determine -2*f(q) - w(q). 82*q**2 - q Let g(p) = -3 + 9*p - p - 5*p. Let q(u) = -3*u - 4*u + 3*u + 4. Give -6*g(v) - 5*q(v). 2*v - 2 Let g(u) = -6*u**2 - 12*u**3 - 10*u - 5 + 5 - 4*u**2. Let i(w) be the third derivative of w**6/120 + w**5/60 + w**4/24 + 5*w**2. Give g(q) + 10*i(q). -2*q**3 Suppose 9 + 19 = 7*z. Let f(o) = -2*o - 5. Let x(r) = 2*r + 6. What is z*x(d) + 5*f(d)? -2*d - 1 Let k(a) = -a**3 - 2*a**2 + 3*a. Let u(h) be the first derivative of -h - 1/2*h**4 - 5/3*h**3 + 7/2*h**2 - 3. What is -5*k(d) + 2*u(d)? d**3 - d - 2 Let b = -7 - -2. Suppose a - p - 2 = 0, -16 = 4*p - 12. Let c(r) = -r**2 - r + 1. Let t(i) = -4*i**2 - 5*i + 6. Calculate a*t(z) + b*c(z). z**2 + 1 Let u(c) = -2*c - 124 + 125 - c. Let w(k) = k - 1. Calculate -u(j) - 2*w(j). j + 1 Let n(k) = k**2 - 16*k - 11. Let h(g) = 3*g + 2. Calculate -11*h(m) - 2*n(m). -2*m**2 - m Let z(g) = -7*g**2 - 9*g - 44. Let h(x) = 2*x**2 + 2*x + 11. Let n(t) = 9*h(t) + 2*z(t). Let v(w) = -w**2 - 2. Determine 2*n(s) + 11*v(s). -3*s**2 Suppose -3*b - b - 4*i - 8 = 0, -2*b - 4 = i. Let d(p) = -p - 1. Let j(y) = y + 9. Let o(g) = g + 6. Let l(f) = 5*j(f) - 8*o(f). Determine b*l(w) + 4*d(w). 2*w + 2 Let g(r) = -r**3 - r**2 + r - 1. Let q(m) = -5*m + 59. Let l be q(12). Let y(f) = -5*f**3 - f**2 + 3*f - 1. Determine l*y(o) + 3*g(o). 2*o**3 - 2*o**2 - 2 Let s(w) = 4*w**2 + 13*w - 7. Let f(j) = 2*j**2 + 6*j - 4. Determine 11*f(m) - 6*s(m). -2*m**2 - 12*m - 2 Let s(g) = 13*g**2 + 9*g - 137. Let z(r) = 6*r**2 + 4*r - 69. Give -4*s(a) + 9*z(a). 2*a**2 - 73 Let d(h) be the first derivative of -9*h + 10 - 7/2*h**2. Let s(w) = -3*w - 4. Give -2*d(y) + 5*s(y). -y - 2 Let s(v) = v. Let p(z) = z**2 - 5*z - 2. Give -p(i) - 5*s(i). -i**2 + 2 Let v(q) = -q**3 - 2*q**2 - 3*q. Suppose 5*x + 5 = 3*u, -3*x + u = 2 + 5. Let c(r) = 2*r**3 + 3*r**2 + 5*r. Determine x*c(f) - 7*v(f). -f**3 + 2*f**2 + f Let c(o) = o**3 + o**2 + o + 1. Let n(q) = 2*q**3 + 4*q**2 + 4*q + 5. Calculate -4*c(g) + n(g). -2*g**3 + 1 Let g be 6/(-4)*(-3 + 1). Suppose 0 = -m + g - 0. Let r(w) = -1 - 2*w**2 + 0 - 3 - w**m. Let a(n) = -n**3 - 1. Determine -2*a(u) + r(u). u**3 - 2*u**2 - 2 Let f = -35 + 38. Let x(g) be the first derivative of 7*g**4/4 + 5*g**3/3 + 5*g - 1. Let r = -13 - -8. Let v(h) = 4*h**3 + 3*h**2 + 3. What is f*x(k) + r*v(k)? k**3 Let a = -3 + 2. Let w(v) = -4*v + 3*v + 3*v**2 + 5*v**2. Let x(m) = -m**2. What is a*w(q) - 6*x(q)? -2*q**2 + q Let j(f) = 2*f**2 - 13*f - 4. Let q(k) = -k**2 + 6*k - 4. Let g(m) = 2*m**2 - 12*m + 9. Let z(i) = 6*g(i) + 13*q(i). Calculate 6*j(o) + 13*z(o). -o**2 + 2 Let c(y) = 2 - 2*y**2 - 4 + 3 + 3*y**2. Let n(p) = 2*p**3 + 5*p**2 + 3. Suppose -4*b - 1 = 3. Determine b*n(l) + 4*c(l). -2*l**3 - l**2 + 1 Let h(d) = -48*d**3 - 36*d**2 - 36*d - 36. Let j(p) = p**3 + p**2 + p + 1. What is -h(t) - 36*j(t)? 12*t**3 Let c(p) = 4 - p**2 - 15*p + 0*p**2 + 19. Let d be c(-17). Let s(i) = -5*i - 4. Let o(j) = 9*j + 7. Determine d*s(m) - 6*o(m). m + 2 Let a(j) = -2*j - 9. Let s(y) = y + 4. Let v(b) = -b**2 + b + 2. Let n be v(0). Calculate n*a(l) + 5*s(l). l + 2 Let l(a) = -5*a**3 + 4*a**2 + 4. Let y(w) = -w**3 + 1 - 31*w**2 - 40*w**2 + 104*w**2 - 32*w**2. Calculate -l(t) + 4*y(t). t**3 Let w(j) = 6*j**3 - j**2 + 6*j. Let z(g) = -5*g**3 + g**2 - 5*g. Suppose -2*n + 13 = 19. Determine n*w(u) - 4*z(u). 2*u**3 - u**2 + 2*u Let f(b) = -2*b. Let n = -34 + 50. Suppose n = -4*c + 4*a, 5*c - 2 = -2*a - 8. Let y(h) = -4*h. Give c*y(t) + 5*f(t). -2*t Let s = 14 + -7. Let y be ((-1)/(-2))/((-1)/(-12)). Let k(f) = 4*f - s + y - 3*f. Let h(q) = 4*q - 5. Calculate -h(t) + 3*k(t). -t + 2 Let z(n) = -8*n + 7. Let m(j) = 15*j - 13. Give -6*m(k) - 11*z(k). -2*k + 1 Let q(z) = -z**2 + 3. Let o(f) = -f**2 + 3*f
{ "pile_set_name": "DM Mathematics" }
4) + 0? -4 What is (4 + -5 - -4 - 11) + 1? -7 What is the value of -3 - (-3 + 7) - (-27 + 24)? -4 Calculate (9 + 4 - 29) + 6. -10 What is the value of (7 - 8) + -2 + (-1 - -10)? 6 (-114 - -105) + (0 - -7) -2 What is 0 - ((5 - (6 - 0)) + -5)? 6 (-3 - (9 - 5)) + 3 + 7 3 What is 2 - (5 - (-3 + 9))? 3 Evaluate -4 + -4 + 8 + 0 + 4. 4 Calculate (0 - -3) + (4 - (1 + 5)). 1 Calculate (8 - (8 + -5)) + 3 - 12. -4 8 + -11 - (-6 + 5 + -2) 0 Evaluate (16 - 7) + -4 - (2 - 0). 3 What is 7 - (-3 - -6) - -3? 7 What is the value of 2 + (-1 - 3) + (4 - -2)? 4 Evaluate 1 + -7 - (3 + -7 - 0). -2 What is the value of -2 + 9 - (-2 - -8)? 1 Calculate 2 + -7 + 1 + 5. 1 Calculate (-17 + 5 - -2) + 7. -3 What is the value of -2 - -11 - (1 + -9 + 10)? 7 What is (5 - 4) + 4 + -3? 2 What is the value of 2 + 1 + (12 - 4) + -7? 4 What is 4 + (9 - (9 + -1))? 5 Evaluate -43 - -56 - (0 + 3 - -2). 8 What is 14 + -17 - (1 - 2)? -2 What is the value of (1 - -3) + 58 + -62? 0 What is 8 + -1 - (-3 + 5)? 5 1 + (0 + (-2 - -2) - 6) -5 What is the value of 4 + 6 + -4 - (7 + -1)? 0 What is 2 - (-2 + 4 + 1 + -5)? 4 What is the value of -48 + 43 - (1 + -5)? -1 (3 - 1) + 6 + -2 6 0 - -9 - (2 + 1) 6 Evaluate -2 + (4 - 1) + 2. 3 Evaluate (-10 - -4) + 1 - (1 + -11). 5 Calculate -2 + 3 - -1 - 0. 2 -2 + 8 + (-1 - 11) -6 What is the value of (4 - (-8 - -12)) + (0 - -4)? 4 What is 8 + (1 + -1 - (16 + -11))? 3 What is -2 - (-5 + 16 + (-5 - -1))? -9 What is the value of 10 + -20 + 9 - (6 + -14)? 7 Calculate 4 + -2 + 1 + (-4 - -4). 3 What is -6 - -18 - 1 - 6? 5 11 + -6 - (2 - -3 - 1) 1 Calculate -1 - (-1 + -1 + -2) - 0. 3 What is -4 - (0 + -4 + 3) - -4? 1 Calculate -3 + (15 - 7) - 10. -5 Evaluate (8 + -2 - 3) + 1 + -6. -2 0 + (5 - (3 - -1) - 4) -3 What is 2 + (4 + -8 - -4) + 3? 5 2 - 2 - (-4 - -3) 1 Evaluate 7 + -5 + 2 + 0 - 7. -3 Evaluate (-3 - (-2 + -2) - 0) + 1. 2 What is 0 - ((-3 - (-2 - -2)) + 7)? -4 What is 5 - (-4 + -1 + (22 - 8))? -4 What is 5 - 2 - 3 - (1 - -2)? -3 What is (8 - 4) + -1 + (-5 - -2)? 0 Evaluate -12 + 5 - -5 - -3. 1 -4 + 0 + 5 + -2 + 6 5 7 + -2 - (-2 + -7 + 16) -2 Calculate 2 - (-11 + 11 + -4). 6 Evaluate -5 - (-15 + (0 - -5) + 5). 0 What is the value of 15 + (6 - -3) + -21? 3 What is 0 + (6 - 1) + -2? 3 Calculate 0 + (-1 - 0) + 108 + -102. 5 What is 2 + 2 - 4 - 5? -5 Evaluate 4 + -6 + -2 - -7. 3 3 + (2 + -4 - -5) 6 Calculate -1 - (-1 + 2) - -6. 4 (2 - -5) + -2 - 1 - 1 3 Calculate 7 - (10 + (4 - 8)). 1 Calculate -1 - -6 - (-15 + 23). -3 -3 - (10 + -5) - (9 + -12) -5 Calculate -4 - -1 - (-8 + (5 - 4)). 4 What is the value of -6 + (7 - (11 + -7))? -3 Calculate 15 + -10 + 4 + -2. 7 -4 + 1 + (6 - 4) + 0 -1 -4 - (-4 + (0 - 0) + -3) 3 Evaluate -3 - 5 - (-10 - (8 - 15)). -5 Evaluate -30 + 28 - (0 + -7). 5 Calculate 19 - (5 - (7 + -12)). 9 Evaluate -4 - -6 - (1 + -1 - 0). 2 What is (31 + -38 - (0 - 4)) + 12? 9 0 + -5 + (49 - 48) -4 What is 0 - (1 + (9 - 3))? -7 Calculate (-4 - 2) + 9 + 0. 3 What is (4 - 7) + (-9 - -4) + 6? -2 What is (1 + -2 - -1) + 66 + -63? 3 Calculate 33 - 29 - (-1 - 1). 6 What is the value of -2 + 0 + (8 - (7 + 0))? -1 Calculate -6 - (-90 + 91 - (0 - -5)). -2 What is the value of 1 + (-5 - -12) + -7? 1 1 + -4 + (2 - 2) + 3 0 What is 6 + (3 - 9) - -10? 10 What is 8 + (-5 + -2 + 2 - -4)? 7 Evaluate 6 - (1 - (-3 + -2)). 0 Evaluate -3 + (6 - 3) - (0 + 7). -7 Calculate -16 + 2 - (-4 + -3) - 3. -10 What is -1 - (2 + -2 + 2 - 2)? -1 Evaluate (-3 - 0 - -14) + (-3 - 3). 5 Evaluate 7 + -6 + -2 - -2. 1 What is -6 - (-5 + (0 - -3))? -4 Calculate (-4 - -6) + 2 + (-1 - -2). 5 Evaluate 0 + -4 + 0 - -6. 2 Calculate 8 + -3 + -3 - (16 - 20). 6 What is 4 + 1 + -11 + 13 + -6? 1 (-1 - 6) + (132 - 133) -8 -2 + -8 + 4 + 2 + -3 -7 0 - (3 - (-4 + (0 - -3))) -4 What is -2 - (-5 + -1 + 0)? 4 -1 + -3 + 1 + 2 + 4 3 What is (-1 - -1 - 2) + -5 + 5? -2 What is the value of 14 + -4 + 8 - 14? 4 What is (-4 - (2 + -3)) + 1 + -3? -5 -7 - (0 + 3 - 6 - -1) -5 Evaluate 0 - -5 - (7 + -10 + 9). -1 (4 - 5) + (3 - 1) 1 What is the value of 5 + (-1 - 1) + -4? -1 Calculate 3 - 8 - -7 - -1. 3 (-8 - -19) + -12 + (4 - -2) 5 Calculate 5 - (2 - 0) - 8. -5 Evaluate -13 + 11 - (5 - (-1 + 3)). -5 What is (1 - 6) + -28 + 27? -6 Evaluate 2 + 4 + -2 + 0 - 7. -3 Evaluate 8 + (2 + (2 - 1) - 10). 1 Evaluate -7 + 12 - (4 + 2). -1 What is -6 + (2 - 0) + 3? -1 Calculate 1 - (7 + 0 - 4). -2 Evaluate -14 - (0 - 5 - (63 + -63)). -9 Calculate (-2 - -6) + -8 - 1. -5 What is -3 + (3 - (-1 - -2)) + 7? 6 Calculate 9 + (10 - 25) - -9. 3 Evaluate 2 + (3 - -3) + -16 + 0. -8 Evaluate (-29 - -28) + 2 + -1. 0 Evaluate -15 + (10 + 2 - 3). -6 What is 4 - 6 - (8 - 7) - -8? 5 Calculate (5 + 4 - 2) + -9 + 3. 1 What is 1 + 8 + 1 + -5? 5 What is 11 - 2 - (-17 - -21)? 5 What is (-8 - -8) + -6 + 2? -4 What is the value of 2 + 6 - (0 + (10 - 4))? 2 What is the value of 10 + -4 + (3 - 0) + -6? 3 Evaluate (1 - -3) + -6 + -2. -4 What is the value of 1 - 0 - (-1 - -1)? 1 Calculate 7 - (0 - (4 + -6)). 5 Calculate -10 + 4 + 4 - (-3 + 0). 1 Calculate (6 - 0) + 4 + -7 + -2. 1 What is the value of (-3 - -2 - 2) + 1? -2 What is the value of 12 + -3 + -11 + 2 + -1? -1 (4 - (2 - (1 + 1))) + 1 5 What is the value of -5 + 6 + 3 + -2 - 4? -2 Evaluate -2 + (-2 - -5) + -8. -7 Evaluate -11 + 10 + (1 - 4). -4 Evaluate 10 - (-3 - (-27 + 9)). -5 What is the value of -6 + 3 + -6 - -4? -5 0 + 4 + 6 + -6 4 What is -3 + 3 + (-6 - -6 - -5)? 5 Evaluate 20 + -22 - (-14 + 1). 11 What is the value of (3 - 4) + (12 - 15)? -4 Calculate 5 + -1 + -14 + 6. -4 What is -3 + -9 + 6 + 9? 3 3 + (-1 - 5 - -4) + 1 2 Calculate 7 + 1 - (-42 + 50). 0 Evaluate 0 + (2 - ((-2 - -3) + -1)). 2 Calculate -3 - (3 - (7 - (0 + 3))). -2 What is the value of -2 - (2 - (2 + -6 + 3))? -5 What is the value of 60 - 52 - (-1 + 8) - 7? -6 What is the value of 9 - (6 + -6 - -3)? 6 What is the value of (4 + 1 - 1) + -1 + -2? 1 Calculate -10 - (-6 - (9 - 6)). -1 What is 2 + 4 - (13 - 4)? -3 Calculate 4 + 0 + -3 - -3. 4 Evaluate 35 - 41 - (-2 + -7). 3 What is (-7 + 10 - 3) + -6? -6 -6 + 3 + (6 - 1) 2 Calculate -1 + -1 + (22 - 5 - 16). -1 What is the value of (-1 - 0) + (0 - (-9 + 4))? 4 What is (1 - 5) + 4 + -1? -1 What is (-4 - -2) + 2 + -1? -1 What is -12 + 3 + -3 + 7? -5 Evaluate -1 - (0 - 5) - 0. 4 What is (-14 - -11) + (1 - (1 - 6))? 3 Calculate -2 - ((-2 - -5) + -5 + 6). -6 What is the value of -3 + -4 + 4 + 5? 2 Evaluate -9 + (10 - 12) + 3 + 2. -6 What is the value of -1 - (4 + -22 + 7)? 10 Calculate -3 + 4 - (1 + 2 + -3). 1 What is -3 + (-1 - 1) - -8 - 10? -7 What is 0 + -1 + 6 - 8 - -2? -1 Evaluate (1 + 1 - (2 - 3)) + 1. 4 What is -2 + 0 + (6 - 7)? -3 Evaluate 1 + 5 + -1 + -2 + 0. 3 Calculate 0 - -1 - (-1 - (1 + -1)). 2 Evaluate 0 + (-5 - (-2 + -2)). -1 Calculate 3 - (-2 + -1 + 10). -4 (13 - 6 - 3 - -3) + -3 4 Calculate -2 + -3 + (9 + -16 - -7). -5 What is the value of -6 + (5 - 3) + -2 + 6? 0 What is the value of 10 + (0 + -1 - 6 - -1)? 4 Evaluate 8 + -1 + -5 - (0 + 6). -4 What is the value of -1 + -2 + -1 + (-1 - -1)? -4 What is -1 - (-6 + (8 - 5))? 2 What is 1 + 2 + (3 - 7 - -3)? 2 What is -21 + 20 - (-1 - (-2 - 0))? -2 (6 - (-1 - -2)) + (62 - 63) 4 Evaluate -6 - ((2 - 10) + -3 + 9). -4 What is 8 + 6 + -8 + -12? -6 What is (7 - 9) + 0 + -1? -3 0 - (-3 + 10 - 15) 8 What is 0 + 1 + -7 + 8? 2 Calculate 2 - (-8 - -6 - (5 - 5)). 4 Calculate -4 - ((-3 - 2) + (11 - 9)). -1 (3 - 2) + (0 - -4) 5 What is 0 + (1 - 10) - (42 + -45)? -6 What is (-9 - -17) + 8 - 8? 8 Evaluate -3 + -2 + -2 - -3 - 0. -4 What is the value of -1 + 3 + -14 + 17? 5 What is (1 - -4) + 30 + -32? 3 What is -2 + (-6 - (2 - 7)) + 4? 1 Calculate 0 + (-2 - -1) - (-4 - -3). 0 (-5 - -6 - -6) + -2 5 Calculate 0 - -3 - ((-2 - 2) + 2). 5 What is the value of (-4 - -1) + 3 + (-5 - -5)? 0 Calculate -4 - (8 + -11 + -5 + -1). 5 What is (0 - 5) + 0 + -3 + 3? -5 What is the value of 18 - ((9 - 7) + 9)? 7 What is -3 + -3 + 6 - 2? -2 What is the value of -3 - (0 - (0 + 1))? -2 -2 - -13 - (25 - 18) 4 Calculate 2 + (1 - 2) - (-1 + -1). 3 What is the value of (-2 - (0 + -2)) + -5? -5 -6 + 4 + 0 + -2 + 0 -4 -1 - (-2 - (2 + -4)) - 3 -4 1 + (-1 - -2) + 27 + -35 -6 What is the value of -1 - (1 + -11 + 5)? 4 6 + (3 - (5 - 6 - -10)) 0 What is the value of -38 + 35 + (0 + 3 - 2)? -2 What is -4 + (-1 - -3) - 2? -4 What is the value of 13 + 0 + (15 - 0) + -18? 10 Wh
{ "pile_set_name": "DM Mathematics" }
-5*q = 5 + 10. Is r(q) composite? False Let y be (-15)/25 - 6798/(-5). Let p = y - 942. Let j = p - 194. Is j composite? False Let g be (1/2)/(2 - (-16881)/(-8442)). Suppose -4*x + 20 = 0, 426 = -n + 2*x + g. Is n a composite number? False Let t(l) = -99*l**3 + 3*l**2 + 2*l - 1. Let m = 35 + -34. Let q(y) = y**2 - 4*y + 1. Let o be q(m). Is t(o) prime? False Let p be (-4)/(4 - 22/5). Let m be (-2)/p - (-2)/10. Suppose 2*w + 220 - 1098 = m. Is w prime? True Let g = -315 - -2717. Is g a prime number? False Let l(s) = 1248*s**2 - 61*s + 6. Is l(-5) prime? True Is 1018 + (-7 - -6) + -8 a prime number? True Suppose 0 = -2*c - 3*c - 5. Let f be 2 - 2 - (-2 + c). Suppose -8 = -v - f, -96 = -w + 3*v. Is w prime? False Suppose 6679 = 6*k - 21983. Is k a prime number? False Let j be 0 + (0 - 0) + 54. Let o be (42/(-15))/((3/10)/(-3)). Let p = j - o. Is p a prime number? False Let a(t) = -123*t - 3. Let k(i) = -82*i - 2. Let u(s) = -5*a(s) + 7*k(s). Let y be (1*-3)/((-9)/6). Is u(y) a prime number? True Let r be ((-225)/10)/(-9)*-10. Is (-16380)/r - 2/10 a prime number? False Let z(u) = 20 - 52 - u + 23 + 25. Let x be z(18). Is 254/(-6)*(x - 1) a prime number? True Let j be (0 - 0/(-1))/(-2). Suppose 3*d - 6 = 0, -3*a + 7*a + 4*d - 16 = j. Suppose 0 = -4*x + 5*z + 644, 3*x + a*z = -2*z + 483. Is x a prime number? False Suppose 3*p - 2989 = -3*o + 4445, -p + 2*o = -2481. Is p composite? True Suppose 16*m = 12*m + 12. Is (-3 - 777/m)/(-4 + 2) composite? False Let g be (-15490)/(-1) + -3 + -2. Suppose 0 = 3*d - a - g, -4*a + 15505 = 8*d - 5*d. Is d prime? False Suppose 36*m - 21768 = 28*m. Is m prime? False Suppose -40540 = -4*s + 2*z, -18*s + 22*s + 3*z - 40520 = 0. Is s prime? True Is 8661 + 0 - (-10 - 36/(-6)) prime? False Let v(w) = w**3 + w**2 + w - 1. Let b be v(-2). Let i = b - -18. Suppose -t - i = -234. Is t a prime number? True Let x(j) be the first derivative of 5*j**2/2 + 13*j + 44. Let l = 8 - 0. Is x(l) a prime number? True Let y be (-2 - -4 - 4) + -4. Is ((-1336)/2)/(3 + y + 1) a prime number? False Let d(h) = 6*h - 253. Let r(s) = s - 1. Let j(b) = -d(b) + 2*r(b). Is j(0) prime? True Suppose -19 - 11 = -2*f. Suppose -3*o = -8*o + f, 2*d = -4*o + 28. Let v = d - -15. Is v a prime number? True Suppose 230759 = 47*y - 24*y. Is y composite? True Let u = -4228 - -11267. Is u a prime number? True Let z(y) = -7 + y**3 + 15*y - y - 2*y**3 - 5*y - 11*y**2. Let w be z(-10). Let b = 316 + w. Is b a composite number? True Suppose 2*r - 2*q - 9 - 1 = 0, 0 = -4*r - q + 20. Suppose 0 = -2*o - 2*n + 238, r*o = 7*o + 3*n - 238. Is o a prime number? False Let l(g) = -2*g - 1. Let k be l(2). Let c(d) = -255*d + 2. Is c(k) a prime number? True Let d(r) = -239*r**2 + 1. Let z be d(1). Let l = z - -779. Is l a prime number? True Let c(g) = g - 15. Let j be c(7). Let o(b) = 11*b**2 - 9*b + 11. Is o(j) a composite number? False Let y = 40 - 34. Let k be (-8)/4 + (y - 1). Suppose k*n + 5*m - 3168 = 0, 3*m - 4946 = -4*n - 711. Is n a prime number? True Suppose -36*m + 34*m - 226 = 0. Let a = m + 486. Is a a composite number? False Suppose 0 = -75*l + 76*l - 2437. Is l prime? True Suppose 0*a = 3*a + 57. Let y(o) = o**2 - 7*o - 15. Is y(a) prime? True Let n be ((-8)/(-20))/(2/2130). Let s = 1304 - n. Is s a composite number? True Let a be 3/4 - 6890/(-8). Let r = -249 + a. Is r a composite number? False Let d be 2/(-9)*1884*3/(-2). Suppose 3*x - 2*a = x + 642, 5*a = -2*x + d. Is x composite? True Let t = 11562 + -875. Is t prime? True Let m be (0 + 3)/(6/8). Let w = m - -135. Is w a composite number? False Let w be ((-3)/(-9) + -1)*-9. Suppose w*y = 3*y. Suppose y = 4*n - 1 - 27. Is n a composite number? False Is (-1 + 2)/(21/236271) a prime number? True Let q(p) = -4610*p**3 + 2*p**2 + 4*p + 1. Let a be q(-1). Suppose 9*d + 2*d = a. Is d composite? False Let z(t) = -68*t**2 - 10*t + 12. Let q be z(-10). Is q/(-33) + 2/6 a prime number? False Let j(t) = -577*t**2 - 31*t + 157. Let c(q) = 144*q**2 + 8*q - 39. Let z(w) = 9*c(w) + 2*j(w). Is z(5) composite? True Let i = 17192 - -1239. Is i composite? True Suppose 80007 = 35*o - 66748. Is o a composite number? True Let d(k) = k**2 + 12. Let i be d(0). Suppose 0 = 4*p + c - i, 0 = -5*p + 3*c - 1 + 33. Suppose p*a - 130 = 2*a. Is a a prime number? False Let f(w) = -28*w - 4. Let n be f(12). Let v = n + 593. Is v a prime number? False Let w(l) = -l**3 + 2*l + 3. Let a be w(0). Is 63/6*346/a a composite number? True Suppose -b - 120 = 3*m + 25, 5*m + b + 239 = 0. Let h = m - -70. Is h composite? False Let k(v) = -v**2 + 21*v + 5557. Is k(0) a prime number? True Suppose 2*i + 0*i = 4*n + 166, -168 = -2*i + 5*n. Let j = 3 + 0. Suppose j*z - i = -10. Is z prime? True Suppose -5*j + 82 = 5*v - 3*v, v - 46 = -5*j. Suppose -a = 5*s + v, -2*s + 16 = -2*a + 2*s. Is (-1 - 20/a)*316 a composite number? False Let a(g) = -1 - 2*g**3 - 14*g + 0*g**3 + 0*g**3. Is a(-5) prime? False Let u(h) = 328 - 2*h**2 - h**2 + 6*h + 4*h**2 + 189. Is u(0) a composite number? True Let m(b) = -2*b**2 + 5*b + 6. Let t be m(5). Let p(l) = l**2 + 12*l + 16. Is p(t) prime? True Suppose 0 = -26*y + 27*y - 74. Is y prime? False Suppose 109192 = 988*n - 980*n. Is n a composite number? False Let p = -4 + 49. Is 2/(-10) + 954/p a prime number? False Suppose 13*u + u - 115486 = 0. Is u a composite number? True Let t(s) = 5*s**2 + 8*s - 11. Let m be t(6). Let l(u) = u**2 + 7*u + 2. Let o be l(-7). Suppose -m = -o*k + 209. Is k a composite number? True Let t = -19 + 25. Suppose t*z + 40 = z. Is 487/3 - z/12 a prime number? True Let w be 20/(-8)*92/(-5). Suppose -k + w = 2*t - 27, 0 = -3*t + 2*k + 113. Is t composite? False Is 1 - (-175452)/26 - (-292)/(-1898) prime? False Let u(f) = 998*f**2 + 26*f + 31. Is u(-6) a composite number? False Let a = -16 - -18. Suppose -a*o - 30 = -4*b, 2*b = -2*b - o + 21. Is (1174/b)/(14/42) prime? True Let v = -429 - -1336. Is v prime? True Let j be 57102/39 + 4/(-26). Suppose 2*m - 4*r = 590, 5*m - j = r - 2*r. Is m prime? True Let c = 19030 - 10698. Suppose 23*i - 142111 - c = 0. Is i a prime number? False Suppose -3*s - 143 - 172 = 0. Let d = s - -167. Suppose -657 = -5*x - d. Is x a prime number? False Suppose -6*l + 7662 - 1188 = 0. Suppose -4*r - l = -15619. Is r a composite number? True Let r = -42 + 98. Is 47/(-2)*(-9)/(36/r) prime? False Suppose 13*p = 2*g + 15*p - 2112, -p = -5*g + 5310. Is g a prime number? True Let t(p) = -1986*p + 34. Is t(-4) composite? True Let a(r) = 5*r**2 + 3*r - 2. Let g(x) = -x**2. Let m(j) = -a(j) - 4*g(j). Let n be m(-3). Is -2 - (n + -1*221) prime? False Suppose 0 = -2*d + 2*a + 50, 4*d - 3*a - 102 = -7. Is 4/d - 2824/(-5) prime? False Is 103 - (-6)/5*5 prime? True Suppose -4*q + 15392 + 35636 = 0. Is q a composite number? False Let k = 66 - 65. Is 0/k - (-3)/6*1678 composite? False Let y(w) = w**3 + 3*w**2 + w + 3. Let s be y(-3). Suppose -f = -s*f. Suppose 3*t + 0*t - 573 = f. Is t composite? False Suppose -5*q = 2*i - 665025, -8*q - 665050 = -13*q + 3*i. Is q prime? False Let h(q) = -5750*q - 37. Is h(-10) composite? True Let d(k) = 4*k**3 - 64*k**2 - 11*k + 44. Is d(21) composite? True Let x be 2/2*4 + 0. Suppose 3 = -x*u + 107. Is u composite? True Let b = -11 + 17. Let f(o) = o**3 - 5*o**2 - 4*o - 8. Let y be f(b). Is y/8 + 354/4 a composite number? False Let g = 44 - 329. Let o = -198 - g. Is o a composite number? True Suppose 0 = -a - 5*n + 40, -6*n + 3*n = 5*a - 244. Let r be (1 + -3)/(0 + (-1)/2770). Is r/a + (-1)/(-5) prime? False Suppose 2*y + 0 - 4 = 0. Suppose 0 = a - y*a. Suppose -r + g = -a*r - 17, 58 = 2*r + 4*g. Is r composite? True Is 3/9 - (-5 + (-46594)/6) composite? True Let o(u) = 4*u + 3. Suppose -11 = 2*t + 33. Let z = t + 29. Is o(z) prime? True Let z = 55 + -55. Suppose 2*d - 3*f - 2957 = z, -2*d - 2*f + 2953 = -f. Is d prime? False Suppose -4*u = 5 + 15, -2*k - u = -1289. Is k a prime number? True Let u(w) = 428*w + 45. Let m be u(-6). Let k = 3964 + m. Is k a prime number? False Let d be ((-2)/(-4))/(2/748) - 0. Suppose -d = -2*v + 331. Is v a composite number? True Let n = 618 + 1603. Is n composite? False Let q(r) be the second derivative of -19*r**5/10 - r**4/6 - r**3/6 + r**2/2 - 5*r. Let d(s) = -s**3 + 4*s**2 - s + 2. Let j be d(4). Is q(j) a composite num
{ "pile_set_name": "DM Mathematics" }
base 15, what is 3 + -4? -1 In base 10, what is -248 + -5? -253 In base 7, what is -4 - 350? -354 In base 16, what is 195 + 2? 197 In base 13, what is 2 + 5? 7 In base 2, what is 0 - -11001100100? 11001100100 In base 2, what is -100001110001 - 0? -100001110001 In base 16, what is -7a + -7? -81 In base 13, what is -3 - 94? -97 In base 4, what is -11123 + 10? -11113 In base 3, what is 20 - 1110? -1020 In base 13, what is 0 + 3c? 3c In base 15, what is 122 + 3? 125 In base 9, what is -51 + 2? -48 In base 11, what is 1a + -6? 14 In base 4, what is 303 - -2? 311 In base 7, what is -5 + 415? 410 In base 4, what is 2 + 3121? 3123 In base 14, what is 214 + a? 220 In base 10, what is 3709 - -4? 3713 In base 16, what is 3 - 503? -500 In base 14, what is -1ca - 3? -1cd In base 4, what is 20 + 12? 32 In base 14, what is -5 + -b? -12 In base 13, what is -3 - ba5? -ba8 In base 15, what is c - 19? -c In base 15, what is 5 - -1178? 117d In base 2, what is 101 + -101101100? -101100111 In base 15, what is 50 + 83? d3 In base 15, what is -58 + 12? -46 In base 2, what is -1 + -1001000000010? -1001000000011 In base 9, what is 66226 + 2? 66228 In base 9, what is 5430 - -4? 5434 In base 14, what is 9 + 1b? 26 In base 3, what is -112202000 - 10? -112202010 In base 13, what is -60a - 1? -60b In base 11, what is -696 - 1? -697 In base 9, what is 0 + -53? -53 In base 7, what is 2525 + 1? 2526 In base 15, what is 1d - 40? -22 In base 8, what is 3 + -766? -763 In base 8, what is -3 - 1127? -1132 In base 6, what is -20 + 50? 30 In base 5, what is 12442 - -1? 12443 In base 9, what is -4 - -7? 3 In base 9, what is -8672 + -1? -8673 In base 6, what is -25 + -2? -31 In base 9, what is -88 - 1? -100 In base 11, what is -166 + -3? -169 In base 14, what is -36 + 1? -35 In base 16, what is -700 - -3? -6fd In base 7, what is -1 - 4? -5 In base 4, what is 3002 - 11? 2331 In base 13, what is 62c + -12? 61a In base 3, what is -11 + 1? -10 In base 8, what is -235 - 5? -242 In base 13, what is 3 + -275? -272 In base 16, what is -f + 10? 1 In base 4, what is 0 - -20213? 20213 In base 13, what is -55 - 4? -59 In base 12, what is -536 + -1? -537 In base 11, what is 1 + -187? -186 In base 10, what is -1 - -6? 5 In base 2, what is -1 + 10001110? 10001101 In base 8, what is 350 + -157? 171 In base 10, what is -164 - -3? -161 In base 11, what is -7 + 0? -7 In base 8, what is 210 + 13? 223 In base 12, what is -436 + 4? -432 In base 7, what is 53 - -463? 546 In base 15, what is -6 - -14a? 144 In base 11, what is -10 - 820? -830 In base 13, what is -4 - 1a? -21 In base 4, what is -2030 - -1003? -1021 In base 9, what is -34 + 0? -34 In base 10, what is -4 + 63? 59 In base 15, what is -142 + 3? -13e In base 12, what is -5 + 10? 7 In base 15, what is -9c + 20? -7c In base 9, what is -412 - 2? -414 In base 3, what is 120 + 0? 120 In base 11, what is -1825 + -2? -1827 In base 11, what is -170a + -1? -1710 In base 3, what is 12 - 1211? -1122 In base 7, what is -5 - -534? 526 In base 2, what is 0 + 10100001? 10100001 In base 7, what is 0 - 433? -433 In base 11, what is -37 - -45? 9 In base 7, what is -150 - -16? -131 In base 16, what is -4 + 1346? 1342 In base 16, what is 7 + 18? 1f In base 15, what is 1cc + 4? 1d1 In base 9, what is -4 + -4? -8 In base 9, what is 4 - -56? 61 In base 2, what is -1011 - -100111011? 100110000 In base 5, what is 33324 - 13? 33311 In base 11, what is -2 - 154? -156 In base 2, what is -11 + 1010110001111? 1010110001100 In base 10, what is -845 - -13? -832 In base 12, what is -2 - -1a14? 1a12 In base 3, what is 10000 - 111? 2112 In base 8, what is 15 + 131? 146 In base 15, what is 1 + -3? -2 In base 10, what is 8 + 50? 58 In base 3, what is 22 + -1202? -1110 In base 9, what is 258 + 50? 318 In base 15, what is 5 - c5? -c0 In base 3, what is 10 + -12? -2 In base 6, what is 2 + -2443? -2441 In base 6, what is 1 - -3240? 3241 In base 5, what is 2 + 24? 31 In base 9, what is 13 - 4? 8 In base 2, what is -101101100001110 - -100? -101101100001010 In base 2, what is -1 + -111100011? -111100100 In base 4, what is -12300 - -10? -12230 In base 5, what is -12423 + 10? -12413 In base 11, what is 64 - -2? 66 In base 10, what is -493 + 11? -482 In base 4, what is -23 + -103020? -103103 In base 15, what is -47 - -b? -3b In base 14, what is 476 + 5? 47b In base 6, what is -4143 + 10? -4133 In base 10, what is -778 + -5? -783 In base 2, what is -10 - -1110111? 1110101 In base 8, what is 20003 + 2? 20005 In base 2, what is 10010 + 1001? 11011 In base 4, what is 1 - 20212? -20211 In base 11, what is -111 - -4? -108 In base 15, what is 4e + 2? 51 In base 7, what is -4016 - -1? -4015 In base 11, what is -15 - 7a? -94 In base 7, what is 450 + -5? 442 In base 9, what is 5 + 21? 26 In base 8, what is -13010 - -3? -13005 In base 5, what is 0 - 12? -12 In base 15, what is -59 - 1? -5a In base 15, what is -3 - 27? -2a In base 14, what is -13 + -8c? -a1 In base 11, what is -47 + 2? -45 In base 9, what is 5 - -2544? 2550 In base 10, what is -4 + 32? 28 In base 11, what is 4 + -51? -48 In base 15, what is -d + e? 1 In base 10, what is -9 - 186? -195 In base 4, what is -110010 - 2? -110012 In base 7, what is -3 - -14121? 14115 In base 9, what is 3 - 4414? -4411 In base 14, what is -16 - -c? -8 In base 8, what is 141 - -5? 146 In base 15, what is 53 - -5? 58 In base 4, what is 2 - 20? -12 In base 4, what is 20 - 1300? -1220 In base 14, what is -4 - 38? -3c In base 14, what is -9 + -5? -10 In base 5, what is 11 + -230020? -230004 In base 16, what is 6 - 22? -1c In base 9, what is -16737 + 1? -16736 In base 5, what is -2 + 314? 312 In base 8, what is -1032 - 5? -1037 In base 14, what is 40 - 165? -125 In base 13, what is 2 - 12? -10 In base 7, what is -366 - 3? -402 In base 8, what is -5 + -10526? -10533 In base 14, what is 3 - -82? 85 In base 12, what is -62 - 108? -16a In base 3, what is 1211 - 200021? -121110 In base 12, what is 340 - 2? 33a In base 7, what is -10 - -336? 326 In base 10, what is 59 + 3? 62 In base 12, what is 58 - 4? 54 In base 3, what is 1120 - -21? 1211 In base 14, what is 137a + -1? 1379 In base 13, what is -3 - -9? 6 In base 3, what is 0 + -10101? -10101 In base 3, what is -11 + -1122012? -1122100 In base 2, what is -1110 + 10000101? 1110111 In base 6, what is 55 - -224? 323 In base 5, what is 22 + -4? 13 In base 4, what is 1 + 2313? 2320 In base 3, what is 12 + 10212? 11001 In base 15, what is 2 + 7? 9 In base 14, what is -844 + 3? -841 In base 2, what is -1000101 - 10? -1000111 In base 2, what is -110101 + 100011? -10010 In base 11, what is 4 - 533a? -5336 In base 9, what is -30 - -56? 26 In base 13, what is -6 + -5a? -63 In base 16, what is -54a + 13? -537 In base 2, what is -10011 - -10101? 10 In base 7, what is -230 - -2? -225 In base 8, what is 31605 - 5? 31600 In base 11, what is -3 + 159? 156 In base 11, what is 6 - -1? 7 In base 15, what is b1 + -80? 31 In base 11, what is 1133 - -8? 1140 In base 7, what is 5 + 12262? 12300 In base 5, what is 12 - -303? 320 In base 5, what is -130 + 4? -121 In base 7, what is 2320 - 0? 2320 In base 15, what is 3 + 4? 7 In base 6, what is 1202 - 0? 1202 In base 5, what is 4102 - 10? 4042 In base 7, what is 4 - 30543? -30536 In base 12, what is 159 + -1? 158 In base 2, what is -111 - 1001010010? -1001011001 In base 8, what is 4 + 146? 152 In base 11, what is 32 - 2? 30 In base 5, what is 23101 - -3? 23104 In base 8, what is -12 - -661? 647 In base 2, what is 100010 + 100? 100110 In base 6, what is 10 + 100? 110 In base 7, what is 261 - 2? 256 In base 2, what is -110 - -1000101101? 1000100111 In base 3, what is 1 - -101012? 101020 In base 5, what is 342 - -3? 400 In base 7, what is 121605 - -2? 121610 In base 7, what is 5 - -3106? 3114 In base 15, what is -4 - -d? 9 In base 4, what is 10201 + 3? 10210 In base 7, what is -1203 - 5? -1211 In base 15, what is 2 - 41? -3e In base 4, what is -1301 - -11? -1230 In base 11, what is -9 - -110? 102 In base 16, what is -4 + a? 6 In base 7, what is 2 + -1201? -1166 In base 15, what is 34 + -2? 32 In base 7, what is 4200 - 12? 4155 In base 15, what is -16 - -8? -d In base 9, what is -1 + -164? -165 In base 4, what is 320 + -233? 21 In base 8, what is 17 - -5? 24 In base 13, what is -3 + -297? -29a In ba
{ "pile_set_name": "DM Mathematics" }
465 to the nearest one thousand. 7000 What is -4113.60481 rounded to one decimal place? -4113.6 Round 64.8877789 to the nearest ten. 60 Round -2126641680 to the nearest one million. -2127000000 Round 13.7163068 to three decimal places. 13.716 What is 1553935.951 rounded to the nearest ten? 1553940 What is -0.000496191241 rounded to four decimal places? -0.0005 What is 0.0000058948061 rounded to seven dps? 0.0000059 Round -19434406.696 to the nearest ten thousand. -19430000 What is 9.712429835 rounded to the nearest integer? 10 Round 36.0325577 to the nearest ten. 40 Round -189.1051229 to 2 dps. -189.11 Round -552.911908 to 1 dp. -552.9 Round -0.0694880643 to four decimal places. -0.0695 What is -251.14322 rounded to the nearest integer? -251 Round 0.236940373 to three dps. 0.237 What is 133442.282 rounded to the nearest 100? 133400 What is 8074.4472 rounded to the nearest 1000? 8000 What is -53757358.7 rounded to the nearest one million? -54000000 What is 0.000545720236 rounded to seven dps? 0.0005457 Round 88903.943 to the nearest ten thousand. 90000 Round -0.00058336391 to four decimal places. -0.0006 What is 484963.367 rounded to the nearest 10000? 480000 Round 0.11041077 to 2 decimal places. 0.11 Round 2913872.4 to the nearest one hundred thousand. 2900000 What is 12526.97593 rounded to the nearest one thousand? 13000 What is 1819.278127 rounded to the nearest integer? 1819 What is -104602.172 rounded to the nearest ten thousand? -100000 Round 0.0025650015 to five decimal places. 0.00257 What is 2410376876 rounded to the nearest one hundred thousand? 2410400000 What is 0.00079120816 rounded to 6 dps? 0.000791 What is 0.0121808429 rounded to five decimal places? 0.01218 What is -1043.913 rounded to the nearest one hundred? -1000 Round -12272636.779 to the nearest 1000000. -12000000 What is 0.00356687128 rounded to four dps? 0.0036 Round -0.0000046510893 to 6 decimal places. -0.000005 What is -2264265403 rounded to the nearest one hundred thousand? -2264300000 Round -78052.1171 to the nearest 100. -78100 Round 196.290885 to the nearest ten. 200 Round -0.00000101717898 to seven dps. -0.000001 What is -0.347454784 rounded to one dp? -0.3 Round -19957993.1 to the nearest one thousand. -19958000 Round -4.572170149 to one dp. -4.6 What is -1.03958826 rounded to two decimal places? -1.04 Round 9569.718 to the nearest one thousand. 10000 Round 62033804.1 to the nearest one million. 62000000 Round 0.4300699107 to 4 dps. 0.4301 What is -0.00795382728 rounded to 6 dps? -0.007954 What is 0.01659878205 rounded to three dps? 0.017 Round -618.578143 to the nearest integer. -619 What is 70918.91841 rounded to the nearest 10? 70920 Round -0.0002120125333 to 5 decimal places. -0.00021 Round -3752.8596 to the nearest integer. -3753 Round -13.3267925 to 2 decimal places. -13.33 Round -0.0301779924 to two dps. -0.03 What is -6843830 rounded to the nearest one million? -7000000 Round -0.00000302263239 to seven dps. -0.000003 What is -0.000277009113 rounded to seven dps? -0.000277 Round 69167.73 to the nearest one thousand. 69000 Round -135583956 to the nearest ten thousand. -135580000 Round 0.0126922159 to three dps. 0.013 What is 148.7441469 rounded to 2 decimal places? 148.74 What is -40584044.96 rounded to the nearest one thousand? -40584000 What is 307.1427157 rounded to 1 decimal place? 307.1 What is -2707.86763 rounded to the nearest 10? -2710 Round -0.00523056232 to 3 decimal places. -0.005 What is 0.000000987166144 rounded to 6 dps? 0.000001 What is -39630591 rounded to the nearest 100000? -39600000 What is -15.84103899 rounded to the nearest 10? -20 What is 2.3442463 rounded to 3 dps? 2.344 What is 75758241 rounded to the nearest 10000? 75760000 Round 84.6615833 to 1 decimal place. 84.7 Round 56.74852384 to zero decimal places. 57 What is 35461.2852 rounded to the nearest 1000? 35000 What is -2339239.95 rounded to the nearest 10000? -2340000 What is 0.000151771984 rounded to 5 decimal places? 0.00015 Round -5009942.67 to the nearest one hundred thousand. -5000000 What is 6619010.9 rounded to the nearest ten thousand? 6620000 What is -9552476 rounded to the nearest 10000? -9550000 Round 87383.2756 to the nearest 10. 87380 Round 8692.73368 to the nearest 100. 8700 What is -34771.797 rounded to the nearest ten? -34770 Round -0.0000422053477 to 5 decimal places. -0.00004 Round -0.001134880183 to seven dps. -0.0011349 What is 1.4154227 rounded to 1 dp? 1.4 Round -0.00135020457 to 6 dps. -0.00135 What is 3073302.04 rounded to the nearest 100000? 3100000 What is -368006.3319 rounded to the nearest 100? -368000 Round 376.081209 to one dp. 376.1 What is 155469609.45 rounded to the nearest 100000? 155500000 What is -1.45728832 rounded to two decimal places? -1.46 What is -22970.835 rounded to the nearest 10? -22970 Round 1401256280 to the nearest one hundred thousand. 1401300000 What is -1457.7989076 rounded to the nearest ten? -1460 Round -28.3384756 to zero decimal places. -28 What is -9.37632027 rounded to 2 dps? -9.38 What is 0.0013106070667 rounded to seven decimal places? 0.0013106 What is -4315.24076 rounded to the nearest 1000? -4000 Round 19.0421032 to 2 dps. 19.04 What is -256447.45 rounded to the nearest one hundred? -256400 What is 63926327 rounded to the nearest one million? 64000000 What is 5921488.8 rounded to the nearest ten thousand? 5920000 Round -11133.4349 to the nearest integer. -11133 Round 74.4970878 to three dps. 74.497 Round -1.3969016 to 1 decimal place. -1.4 What is 13413.14409 rounded to the nearest 100? 13400 Round -560.347004 to the nearest integer. -560 What is -23360442.13 rounded to the nearest 1000000? -23000000 Round 1.550915551 to two decimal places. 1.55 What is 3.813785979 rounded to two dps? 3.81 What is -2299994.05 rounded to the nearest ten thousand? -2300000 What is 2037.439389 rounded to the nearest integer? 2037 Round 0.0007653991413 to 6 decimal places. 0.000765 Round -4622.96055 to 1 decimal place. -4623 What is -4324532.38 rounded to the nearest ten thousand? -4320000 What is -6730854830 rounded to the nearest 1000000? -6731000000 Round 0.07891663557 to 4 dps. 0.0789 What is 0.494605135 rounded to four decimal places? 0.4946 Round 152.52782 to the nearest integer. 153 What is 65.0818491 rounded to the nearest 10? 70 Round 0.00000054500005 to seven dps. 0.0000005 What is 0.629042077 rounded to three dps? 0.629 Round -1.8698277 to three dps. -1.87 What is 2409879.5 rounded to the nearest 1000000? 2000000 Round 255435291.9 to the nearest one million. 255000000 What is 16.31062999 rounded to the nearest 10? 20 Round 2604.47276 to the nearest one thousand. 3000 What is -0.0653379074 rounded to 3 decimal places? -0.065 Round 1492767363 to the nearest 1000000. 1493000000 Round -0.001135498757 to six decimal places. -0.001135 What is -2053.1465 rounded to the nearest 10? -2050 Round -502522.5589 to the nearest one thousand. -503000 What is 0.0037598062 rounded to six decimal places? 0.00376 Round 0.000063803683 to 6 decimal places. 0.000064 What is -0.010990728 rounded to 4 decimal places? -0.011 What is 32715.5563 rounded to the nearest 1000? 33000 Round -1937393270 to the nearest one hundred thousand. -1937400000 What is -0.0398816439 rounded to 2 decimal places? -0.04 Round -246383.4747 to the nearest 10000. -250000 What is 2452.331488 rounded to the nearest one thousand? 2000 Round -0.00003241533317 to 6 dps. -0.000032 What is -0.074432051 rounded to 5 dps? -0.07443 Round 681622.69 to the nearest one hundred. 681600 Round -0.10515697 to 2 decimal places. -0.11 Round 104360.9092 to the nearest ten. 104360 Round -2016887270 to the nearest 100000. -2016900000 Round 0.000172429316 to seven decimal places. 0.0001724 Round -0.0080880795 to 6 dps. -0.008088 What is 0.0000005349183473 rounded to seven dps? 0.0000005 What is -0.00736784959 rounded to five decimal places? -0.00737 Round 0.0000313812301 to 6 dps. 0.000031 Round 0.0030786821 to 6 decimal places. 0.003079 What is -1.881450562 rounded to 1 dp? -1.9 What is 5815.84601 rounded to zero dps? 5816 Round 3131207.883 to the nearest 100000. 3100000 Round 7.07026467 to three dps. 7.07 Round 870345459.9 to the nearest one hundred thousand. 870300000 Round -0.10029951105 to
{ "pile_set_name": "DM Mathematics" }
vative of a**5 - 123*a**3*x**3 - 2*a + 80*x**3 wrt a? 20*a**3 - 738*a*x**3 Find the second derivative of -2*v**5 - 3*v**4 - 8*v - 5. -40*v**3 - 36*v**2 What is the first derivative of 27*l**3*s**2 - 117*l*s**3 + 2*s**3 - 51*s**2 - 130 wrt l? 81*l**2*s**2 - 117*s**3 Find the second derivative of -29*f**2 + 175*f. -58 What is the first derivative of -13742*c**4 + 8365 wrt c? -54968*c**3 Differentiate 3583*v**4 - 6451 wrt v. 14332*v**3 Find the third derivative of -1056*v**4 - 273*v**2 + 4. -25344*v Find the third derivative of 13*g**3*q - 5*g**3 - 189*g**2*q + 2*g*q wrt g. 78*q - 30 Differentiate 2*a**3*g**3 + 256*a*g**3 - 3*g**3 + 47 with respect to a. 6*a**2*g**3 + 256*g**3 What is the second derivative of -2233*n**4 + 1790*n? -26796*n**2 Differentiate -2*c**2*u**2 - 1683*c*u + 5960*u**2 with respect to c. -4*c*u**2 - 1683*u Differentiate 18*g**2 + 5*g - 539 wrt g. 36*g + 5 Find the third derivative of -50*h**3 - 143*h**2. -300 Differentiate 105*n**3 + 152 with respect to n. 315*n**2 What is the third derivative of 10*b**4*q*t - 2*b**4*t + 5*b**3*q*t + 5*b**2*q - b**2 + b*q*t - b*q wrt b? 240*b*q*t - 48*b*t + 30*q*t What is the third derivative of -16148*v**3 - 3*v**2 + 150 wrt v? -96888 Find the second derivative of -11*o**3 + 34*o**2 + 1966*o + 1. -66*o + 68 Find the third derivative of 60*h**3*l**3 + h**2*l - h**2 - 5*h*l**3 wrt h. 360*l**3 What is the derivative of 4*h*s**2 - h*s - 1910*h - 583*s**2 - s + 1 wrt h? 4*s**2 - s - 1910 What is the third derivative of -2*i**4 + 1307*i**3 - 14*i**2 - 2? -48*i + 7842 What is the first derivative of 10*u*v**2 + 2*u*v + 6*u - v**2 - 8 wrt v? 20*u*v + 2*u - 2*v Find the second derivative of -300*k**3 + 1781*k wrt k. -1800*k Find the second derivative of -3*z**4 - 114*z**3 - 106*z + 3. -36*z**2 - 684*z Find the third derivative of -884*o**6 - 982*o**2. -106080*o**3 Find the second derivative of 13*d*l**3*s**5 - 2*d*l**3*s + 4*d*l*s**5 + 7*d*s + 3*s wrt s. 260*d*l**3*s**3 + 80*d*l*s**3 Find the third derivative of -46*j**4*x**3 - 8*j**4*x**2 + 3*j**3 + 538*j**2*x**3 + 4*j*x**3 wrt j. -1104*j*x**3 - 192*j*x**2 + 18 What is the third derivative of -600*y**5 - 5*y**4 + 3293*y**2? -36000*y**2 - 120*y What is the second derivative of 691*i**3*v**3 + 2*i**3 + 597*i*v - 2*v**3 wrt v? 4146*i**3*v - 12*v Find the second derivative of 675*l**2*x**3 + 7*l*x + 28*x**3 + 4 wrt l. 1350*x**3 What is the third derivative of 197*r**3 + 55*r**2 - 2? 1182 What is the third derivative of 775*h**5 - 2*h**2 - 446? 46500*h**2 What is the third derivative of -4*b**5 - 21*b**4 + 66*b**2 wrt b? -240*b**2 - 504*b What is the second derivative of 217*x**4 - x**2 + 266*x wrt x? 2604*x**2 - 2 Find the first derivative of -m**3 - 4*m**2 + 3*m + 4883. -3*m**2 - 8*m + 3 Find the first derivative of 48*f**4 - 3*f**3 + 638. 192*f**3 - 9*f**2 Find the second derivative of 3*p**5 + 446*p**3 + 30*p + 46. 60*p**3 + 2676*p Find the second derivative of -2960*u**4 - u**2 + u + 5708. -35520*u**2 - 2 What is the third derivative of 36*c**3*s**3 - 6*c**3*s**2 - 3*c**2*s**3 - c**2*s + 4*c**2 - 10*s**3 wrt c? 216*s**3 - 36*s**2 Find the second derivative of 2*g**3*v**2 - 2*g**3*v - g**3 - 179*g**2 - 650*g*v**2 wrt v. 4*g**3 - 1300*g Find the third derivative of -2*f**3*u**2 + 3*f**3 - 2*f**2*u + 56*f*u**2 wrt f. -12*u**2 + 18 What is the derivative of -13*i**2 + i - 138? -26*i + 1 Find the second derivative of -24*a**3 - 9*a**2 + 1158*a - 2. -144*a - 18 What is the third derivative of -200*q**6 - q**2 - 81*q? -24000*q**3 What is the derivative of 182*c*f**2 + c - 5273*f**2 wrt c? 182*f**2 + 1 Find the second derivative of 572*g*h**4 - 3*g*h**3 - 45*g*h + 2*h**4 + 2*h + 2 wrt h. 6864*g*h**2 - 18*g*h + 24*h**2 Find the second derivative of -822*u**4 + 1047*u wrt u. -9864*u**2 What is the third derivative of 3*d**2*k**4 + 2*d**2*k**3 + d**2 + 11*d*k**2 - 24*k**4 + 2*k wrt k? 72*d**2*k + 12*d**2 - 576*k Find the third derivative of d**5 + 3*d**4*j - 2*d**3*j + 14*d**2*j - 6*d**2 wrt d. 60*d**2 + 72*d*j - 12*j What is the third derivative of -27*n**5 - n**2 + 105*n wrt n? -1620*n**2 Find the third derivative of -184*t**4 + 411*t**2. -4416*t Find the first derivative of g**3 - 532*g**2 + 4*g + 2644. 3*g**2 - 1064*g + 4 Find the second derivative of 1020*j**2*w**3*z**2 + 14*j**2*w**3*z - j**2*w**3 + 2*j**2*z**5 + 8*j**2*z wrt z. 2040*j**2*w**3 + 40*j**2*z**3 Differentiate 1633*f*o - 3*f + 1812*o with respect to f. 1633*o - 3 Find the second derivative of -4*f**2*i**4 + 68*f**2*i + f*i + 24*i**4 wrt i. -48*f**2*i**2 + 288*i**2 What is the third derivative of 4*k**2*v**4 + 2*k**2*v + k*v**3 - 21*v**4 - 6*v**2 + 27*v wrt v? 96*k**2*v + 6*k - 504*v Find the third derivative of -2*i**3*k*v**3 + 55*i**3*k*v - 3*i**3*v + 18*i**2*k*v**3 - i**2*v + 8*k wrt i. -12*k*v**3 + 330*k*v - 18*v Find the second derivative of -382*n**2 - 4*n - 2 wrt n. -764 Find the third derivative of 8*a**5 - 13*a**3 - 494*a**2. 480*a**2 - 78 What is the second derivative of p**5 - p**3 + 1751*p**2 + 133*p - 16 wrt p? 20*p**3 - 6*p + 3502 Find the third derivative of 2201*m*s**6 - 106*m + 2*s**2 wrt s. 264120*m*s**3 What is the second derivative of -38*i**2*k**4 - 132*i**2*k + k**4 wrt k? -456*i**2*k**2 + 12*k**2 What is the third derivative of -2380*f**3 + 2*f**2 + 123*f wrt f? -14280 Find the second derivative of -15*j**2*v**3 + 8*j**2 + 17*j*v**2 - 5*j - 2*v**3 wrt j. -30*v**3 + 16 What is the third derivative of 2*z**5 + 105*z**3 + 163*z**2 wrt z? 120*z**2 + 630 Differentiate 68*x**4 + 210. 272*x**3 Differentiate -1872*h**3*w + 1811*h**3 wrt w. -1872*h**3 What is the third derivative of 41*x**3 - x**2 - 25*x? 246 Differentiate 2*f*m*s**2 + 2*f - 22*j*m*s**3 + 19*j*m - 12*j*s + 40*m wrt s. 4*f*m*s - 66*j*m*s**2 - 12*j Find the third derivative of 6*d**3*m**2 + 51*d**3*m*x**2*z + 4*d**2*x**2 + 11*d**2 - d*m**2 - d*z wrt d. 36*m**2 + 306*m*x**2*z What is the third derivative of -1972*s**5 + 55*s**2 + 2*s wrt s? -118320*s**2 Find the second derivative of 5465*q**2 - 937*q + 4 wrt q. 10930 What is the second derivative of 168*o**3*z**2 + 3*o**3*z - 5*o*z - z wrt z? 336*o**3 Differentiate -14*o**2*q - 2*o**2 + 2*o*q + o + 7109*q with respect to o. -28*o*q - 4*o + 2*q + 1 Find the first derivative of 2*c*t**2 - 2*c*t*v**3 - 7*c*v**3 + c*v**2 + 2*c*v - 5*t*v**3 wrt t. 4*c*t - 2*c*v**3 - 5*v**3 What is the first derivative of 6*k**2 - 433*k - 6582? 12*k - 433 Find the third derivative of -i**3*j**3 - 19*i**3*j + 2*i**2*j**3 - 5708*i**2*j wrt i. -6*j**3 - 114*j What is the third derivative of -47*j**6 - 115*j**2? -5640*j**3 What is the second derivative of 17*h*z**3 + h*z**2 + 2*h*z - 18*z**3 + 8*z + 10 wrt z? 102*h*z + 2*h - 108*z Find the third derivative of 2*o**6 - 843*o**5 - 2*o**4 + 59*o**2 - 13. 240*o**3 - 50580*o**2 - 48*o Find the third derivative of 2115*g**5 + 415*g**2 + 3*g wrt g. 126900*g**2 Find the third derivative of -38*o**4 - o**3 - 210*o**2. -912*o - 6 What is the second derivative of 258*h**4*i - 2*h**3*i - 25*h + 5*i wrt h? 3096*h**2*i - 12*h*i Find the third derivative of -500*d**5 + 615*d**2. -30000*d**2 What is the third derivative of -18*c**2*s**4 + c**2*s**2 - 10*c**2 - 20*c*s**4 + 2*c*s**3 + 17*c*s wrt s? -432*c**2*s - 480*c*s + 12*c What is the second derivative of g**2*i**2 + 110*g**2 - 8*g*i**2 - 3*g*i + 2*i**2 wrt g? 2*i**2 + 220 Find the first derivative of -d**3*l - 8*d**3 - 3*d**2*l + l + 294 wrt d. -3*d**2*l - 24*d**2 - 6*d*l Differentiate -276*k**3*n - 78*k**3 + 1 with respect to n. -276*k**3 Find the third derivative of -d**3*g*w + 3*d**3*g - 43*d**3*w - 14*d**2*g*w + d**2*g - 3*d**2*w wrt d. -6*g*w + 18*g - 258*w What is the third derivative of -2*k**4 - 104*k**3 - 32*k**2 - 3*k? -48*k - 624 Differentiate i*j**2*s + 57*i*j*s + i*s - 2*j**4*s - 11*s with respect to j. 2*i*j*s + 57*i*s - 8*j**3*s What is the second derivative of 4*k**4 + 13*k**3 + 6*k - 1 wrt k? 48*k**2 + 78*k Find the third derivative of 2157*m**3*n**4 - 5*m**3*n + 33*m*n**2 wrt n. 51768*m**3*n What is the derivative of -11663*h + 520 wrt h? -11663 Find the second derivative of -1178*c*d**3 + 3*c*d - 40*c wrt d. -7068*c*d What is the third derivative of -47*c**4 + 7*c**3 - 91*c**2? -1128*c + 42 What is the third derivative of -7*r**5 + 53*r**4 + r**3 + 12423*r**2? -420*r**2 + 1272*r +
{ "pile_set_name": "DM Mathematics" }
y**3 - 40*y**2 - 95*y - 10. Calculate j(12). 2 Let h(j) = 2192*j + 13186. Determine h(-6). 34 Let i(h) = h**3 + 29*h**2 + 2*h + 978. Calculate i(-30). 18 Let h(w) = w**2 - 140*w + 1783. Give h(126). 19 Let j(x) = -18*x**3 + 145*x**2 + 17*x - 199. Give j(8). 1 Let j(w) = -w**3 - 13*w**2 + 36*w - 191. Calculate j(-16). 1 Let w(b) = -84*b**2 + 4366*b + 109. Give w(52). 5 Let r(g) = -g**3 + 6*g**2 + 19*g + 56. What is r(11)? -340 Let q(b) = b - 58. Give q(71). 13 Let u(x) = x**3 - 35*x**2 + 29*x + 80. Determine u(34). -90 Let n(d) = 56*d - 12320. Determine n(220). 0 Let j(y) = -y**3 - 130*y**2 - 977*y - 123. Calculate j(-122). -1 Let l(u) = -u**3 - 62*u**2 + 402*u + 26. Calculate l(6). -10 Let r(o) = 641*o + 82697. Determine r(-129). 8 Let r(y) = y**2 + 1696*y + 118484. What is r(-73)? 5 Let f(l) = 7*l**2 - 19*l + 74. Calculate f(6). 212 Let p(z) = z**3 - 13*z**2 - 19*z + 7. Calculate p(14). -63 Let i(h) = 2*h**2 + 22*h - 151. Give i(9). 209 Let f(t) = -t**3 + 3*t**2 + 16*t - 10. Determine f(-4). 38 Let h(t) = -13*t**3 - 2*t**2 + 11*t + 45. Calculate h(-3). 345 Let f(y) = 708*y - 4950. Calculate f(7). 6 Let i(p) = p**2 - 79*p - 287. Determine i(83). 45 Let i(m) = 155*m + 2326. Determine i(-15). 1 Let f(b) = -b**3 + 34*b**2 + 410*b - 3117. Determine f(42). -9 Let k(q) = 18*q**2 + 143*q + 2. Calculate k(-8). 10 Let f(t) = -t**2 - 1171*t - 10431. Calculate f(-9). 27 Let s(k) = -3*k + 1. What is s(-17)? 52 Let u(k) = -3*k**3 - 13*k**2 - 5*k - 1. Calculate u(-5). 74 Let f(n) = -24*n**2 + 488*n - 150. Calculate f(20). 10 Let s(w) = 16*w**2 + 78*w - 15. Give s(-5). -5 Let b(m) = m + 28. Calculate b(-28). 0 Let r(s) = 272*s + 38627. What is r(-142)? 3 Let i(o) = o**3 - 4*o**2 + 835*o - 1651. What is i(2)? 11 Let d(h) = -9*h - 235. What is d(-28)? 17 Let t(n) = -n**2 + 13*n - 27. Give t(5). 13 Let y(x) = -3*x**2 - 272*x - 445. Determine y(-89). 0 Let g(o) = 4*o**2 - 141*o - 113. Give g(36). -5 Let z(j) = j**3 + 17*j**2 + 50*j + 30. Give z(-7). 170 Let x(f) = f**3 - 10*f**2 - 22*f - 20. What is x(11)? -141 Let m(c) = 8403*c + 142847. Determine m(-17). -4 Let m(s) = 606*s - 2936. What is m(5)? 94 Let d(a) = -2*a**2 - 174*a + 5616. Calculate d(-112). 16 Let l(z) = 3553*z - 284242. Give l(80). -2 Let y(d) = -d**2 + 31*d - 179. Calculate y(5). -49 Let n(l) = l**3 + 10*l**2 + 435*l + 3802. What is n(-9)? -32 Let n(d) = -2*d**3 - 122*d**2 + 133*d + 565. Give n(-62). 7 Let y(n) = 82*n + 4672. What is y(-57)? -2 Let q(c) = 14*c + 101. What is q(-10)? -39 Let p(z) = -674*z**2 - 45*z - 45. What is p(-1)? -674 Let z(j) = -23*j + 1453. What is z(62)? 27 Let y(q) = -q**3 - 25*q**2 - 46*q + 57. Calculate y(-23). 57 Let j(i) = i**3 + 37*i**2 + 353*i + 284. Determine j(-16). 12 Let r(c) = -372*c - 4461. What is r(-12)? 3 Let o(i) = 229*i**2 + 21*i + 20. Determine o(-1). 228 Let k(x) = 2*x**2 + 112*x + 626. What is k(-50)? 26 Let l(b) = 94*b - 659. What is l(7)? -1 Let o(i) = i**2 + 13*i - 11. Calculate o(-16). 37 Let a(y) = 22*y + 445. Calculate a(-20). 5 Let o(l) = l**3 - 7*l**2 - 22*l + 69. Give o(7). -85 Let b(d) = -d**3 - d**2 + 35*d + 3. Give b(6). -39 Let p(u) = u**2 - 268*u - 7641. Calculate p(-26). 3 Let u(b) = -79*b - 143. Give u(7). -696 Let c(x) = -120*x**2 - 13*x + 12. What is c(1)? -121 Let t(x) = x**3 - 5*x**2 - 70*x + 8. What is t(11)? -36 Let c(v) = -50*v**2 + 17152*v - 679. What is c(343)? 7 Let s(p) = 2*p**3 - 23*p**2 + 19*p + 33. Determine s(10). -77 Let s(c) = -39*c + 51. Give s(7). -222 Let p(u) = -15*u**2 - 65*u + 116. Determine p(-8). -324 Let q(s) = -5*s**3 + 26*s**2 - 13*s - 46. Calculate q(2). -8 Let p(s) = -s**3 + 25*s**2 - 136*s - 12. What is p(8)? -12 Let b(j) = 1195*j + 132642. What is b(-111)? -3 Let x(o) = -47*o - 70. Give x(8). -446 Let r(y) = -2*y**2 - 34*y + 43. Calculate r(-16). 75 Let a(f) = -f**3 - 12*f**2 + 74*f + 43. Determine a(-16). -117 Let p(g) = -702*g - 31587. Calculate p(-45). 3 Let g(d) = -93*d - 14394. Determine g(-155). 21 Let k(x) = -4*x**2 + 86*x - 12. Calculate k(29). -882 Let d(x) = 7*x + 11. Calculate d(-29). -192 Let h(s) = s**3 + 55*s**2 - 576*s - 9. Calculate h(-64). -9 Let k(l) = -3745*l + 7458. Give k(2). -32 Let q(r) = -797*r - 8761. Give q(-11). 6 Let r(g) = 1388*g - 20820. What is r(15)? 0 Let w(l) = -65*l - 906. Give w(-15). 69 Let k(i) = -3*i**2 + 42*i - 1. Calculate k(14). -1 Let y(z) = -722*z + 12988. Give y(18). -8 Let w(q) = 3994*q - 27939. Determine w(7). 19 Let k(t) = -t**2 + 90*t - 374. Give k(86). -30 Let u(x) = -151*x - 13015. Calculate u(-86). -29 Let s(r) = -19*r**2 + 381*r + 374. What is s(21)? -4 Let c(k) = 2*k**3 + 176*k**2 + 849*k + 1573. Give c(-83). -4 Let s(w) = -81*w + 1383. What is s(17)? 6 Let w(o) = -o**2 + 294*o + 904. Determine w(-3). 13 Let r(u) = -184*u - 725. Determine r(-4). 11 Let x(z) = 17*z - 339. What is x(18)? -33 Let t(n) = n**2 + 5*n + 104. Give t(-13). 208 Let z(o) = 217*o - 2311. Give z(14). 727 Let c(i) = 2*i**2 + 24*i - 90. Give c(-16). 38 Let z(a) = -2*a**2 - 15907*a + 47741. Determine z(3). 2 Let b(l) = 10*l**2 - 304*l - 181. What is b(31)? 5 Let c(v) = v**3 - 34*v**2 + 30*v + 80. What is c(33)? -19 Let l(p) = 93*p + 555. Determine l(-6). -3 Let n(p) = 118*p - 67. Give n(3). 287 Let t(q) = -20*q + 50. Give t(8). -110 Let v(l) = l**2 + 7*l - 14. What is v(13)? 246 Let a(v) = -882*v - 835. Give a(-1). 47 Let b(o) = o**3 - 10*o**2 - 23*o + 214. Calculate b(10). -16 Let b(l) = 2*l**3 + 24*l**2 - 14*l - 58. Give b(-10). 482 Let w(s) = s**3 + 21*s**2 - 18*s + 37. Give w(-22). -51 Let w(v) = 2*v**3 - 40*v**2 - 5*v + 1. Calculate w(20). -99 Let j(y) = -499*y + 38919. What is j(78)? -3 Let k(f) = -f**2 + 276*f - 2416. Determine k(9). -13 Let o(c) = -2*c**3 - 10*c**2 - 13*c - 129. What is o(-6)? 21 Let r(y) = y**3 + 29*y**2 + 81*y - 3. What is r(-26)? -81 Let o(g) = g**3 - 50*g**2 - 108*g + 160. What is o(52)? -48 Let w(d) = 11*d**3 - 4*d**2 + 63*d - 104. Calculate w(2). 94 Let n(i) = 177*i**3 + 2*i**2 - 3*i - 5. Give n(-1). -177 Let f(m) = -8*m**2 - 5*m + 187. Give f(10). -663 Let m(u) = -22*u + 80. Give m(0). 80 Let j(v) = 8*v**2 + 6*v + 8. What is j(-2)? 28 Let o(t) = 4*t**2 - 119*t - 17. Calculate o(30). 13 Let k(s) = -16*s + 10. Give k(-4). 74 Let l(b) = b**3 + 3*b**2 - 27*b - 6. What is l(4)? -2 Let p(d) = 15*d**2 - 78*d + 382. What is p(5)? 367 Let k(x) = -3*x**3 - 3*x**2 + 9*x - 13. Give k(-5). 242 Let a(j) = -j**3 + 34*j**2 - 94*j + 16. Determine a(31). -15 Let c(y) = -1302*y - 23455. Determine c(-18). -19 Let r(v) = 16*v**2 + 317*v - 28. Give r(-20). 32 Let f(d) = -d**3 + 35*d**2 - 118*d - 190. Determine f(31). -4 Let b(n) = n**3 - 10*n**2 - 32*n - 7. Determine b(-2). 9 Let z(p) = 959*p - 78640. Determine z(82). -2 Let j(n) = 7*n**2 - 18*n - 19. Calculate j(-1). 6 Let n(w) = -47*w**3 + w**2 + w - 2. Determine n(2). -372 Let t(h) = 13*h**2 - 238*h - 17. Determine t(20). 423 Let a(w) = 1393*w - 11147. Determine a(8). -3 Let w(d) = -d**3 - 6*d**2 - 3*d + 51. What is w(4)? -121 Let j(u) = 21*u - 444. What is j(24)? 60 Let d(p) = -p**3 + 14*p**2 - 5*p - 70. Give d(10). 280 Let i(x) = 2*x**2 + 34*x - 12. What is i(-29)? 684 Let y(o) = 16*o - 145. What is y(11)? 31 Let h(r) = r**2 + 46*r + 135. Give h(-3). 6 Let i(h) = h**2 + 33*h + 208. What is i(-27)? 46 Let q(d) = 82*d. Give q(-3). -246 Let k(p) = -2780*p - 200154. What is k(-72)? 6 Let v(u) = 41*u - 834. Calculate v(10). -424 Let u(t) = 5*t**2 - 48*t - 184. Determine u(-3). 5 Let o(p) = 4*p**2 + 10*p - 20. Give o(2). 16 Let y(p) = -2*p**2 - 372*p - 1825. Calculate y(-5). -15 Let c(y) = 135*y + 804. Determine c(-6). -6 Let u(s) = -19*s**2 - 438*s - 34. What is u(-23)? -11 Let z(o) = 4*o**3 - 49*o**2 - 2*o + 95. What is z(12)? -73 Let a(j) = 2*j**3 + 9*j**2 - 19*j - 13. Determine a(2). 1 Let k(h) = -37*h - 342. Determine k(-11). 65 Let m(w) = -13*w**3 + 912*w**2 - 134*w - 418. What is m(70)? 2 Let a(z) = -10*z**3 - z**2 + 2*z - 1. Calculate a(2). -81 Let h(k) = -3*k**2 - 7*k + 144. What is h(-9)? -36 Let d(v) = 32*v**2 + 148*v - 11. What is d(-5)? 49 Let b(i) = 2*i**3 + 5*i**2 - 6*i - 4. Determine b(-2). 12 Let j(t) = t**3 + 11*t**2 + 14*t - 6. What is j(-9)? 30 Let r(j) = 1129*j + 6768. Determine r(-6). -6 Let u(o) = -o**2 - 252*o - 3582. Determine u(-15). -27 Let r(l) = l**3 + l**2 + 188*l - 2. Determine r(0). -2 Let
{ "pile_set_name": "DM Mathematics" }
- 5/42*a**7 + 0*a**2 - 5/6*a**4. Determine w, given that u(w) = 0. -1, 0, 1 Let f be -2*(7 + (-12)/3 + -4). Suppose -7 = -6*w + 3*w - f*d, -5*w + 4*d + 19 = 0. Find t such that 0*t**2 - 1/2*t**w + 3/2*t - 1 = 0. -2, 1 Let s = 19 - 11. Suppose -30 = -5*p - 5*q, -3*q + s*q + 15 = 4*p. Factor -c**3 - 6*c**3 - 2*c**2 + p*c**3. -2*c**2*(c + 1) Let g = -3303 - -3305. Find v such that -24/7*v - 12/7*v**g + 0 + 18/7*v**3 + 15/7*v**4 + 3/7*v**5 = 0. -2, 0, 1 Let u(r) be the third derivative of r**7/6 - 43*r**6/120 - r**5/25 + 17*r**4/30 - 8*r**3/15 - 147*r**2. Determine g, given that u(g) = 0. -4/7, 2/5, 1 Let -9 + 417*b**2 - 6*b - 833*b**2 + 415*b**2 = 0. Calculate b. -3 Let f(r) be the third derivative of -r**8/13440 - r**7/1260 - r**6/360 + r**4/24 + 14*r**2. Let z(g) be the second derivative of f(g). Factor z(y). -y*(y + 2)**2/2 Factor 1849/4 - 85/4*w**2 - 1763/4*w - 1/4*w**3. -(w - 1)*(w + 43)**2/4 Let y be 3/(30/80) + -6. Factor -2/3 + u - 1/3*u**y. -(u - 2)*(u - 1)/3 Let b(y) be the second derivative of 0 - y**2 + 1/6*y**3 + 6*y + 1/12*y**4. Factor b(s). (s - 1)*(s + 2) Let d(n) = 3*n**2 - 18*n - 15. Let k(f) = -3 + 1 - 32*f + 33*f + 3. Let b(h) = d(h) + 15*k(h). Factor b(s). 3*s*(s - 1) Let v be (-2)/(-15) + -8*565/(-2100). Factor -8/7*w**2 - v*w**3 + 36/7 + 4/7*w**4 + 48/7*w. 4*(w - 3)**2*(w + 1)**2/7 Let s = -473 + 476. Let n(m) be the second derivative of -2/7*m**2 + 0 - 5/21*m**s + 1/35*m**5 + 5*m - 1/42*m**4. Factor n(u). 2*(u - 2)*(u + 1)*(2*u + 1)/7 Suppose 5*y - 11*y + 48 = 0. Let -4*u**2 + 3*u + y*u + 69 - 75 - u**3 = 0. Calculate u. -6, 1 Let r(c) = c - 8. Let h be r(11). Let f = -87 - -90. Factor 0 - f*p**2 + 3/2*p**h + 3/2*p. 3*p*(p - 1)**2/2 Let y(v) = -145*v**3 - 1365*v**2 - 7840*v - 6460. Let d(n) = 11*n**3 + 105*n**2 + 603*n + 497. Let p(z) = -40*d(z) - 3*y(z). Factor p(f). -5*(f + 1)*(f + 10)**2 Let o(q) be the third derivative of -8*q**2 + 0*q + 0*q**6 + 1/105*q**7 + 0*q**3 + 1/6*q**4 + 0 - 1/10*q**5. Find a such that o(a) = 0. -2, 0, 1 Let d(v) be the first derivative of -14*v**5/5 + 5*v**4 + 26*v**3 - 18*v**2 - 748. Suppose d(a) = 0. Calculate a. -2, 0, 3/7, 3 Let j(o) be the second derivative of -3/20*o**5 + 1/2*o**3 - 1/12*o**4 - 3 + o + o**2 - 1/30*o**6. Let j(q) = 0. Calculate q. -2, -1, 1 Let z = 942 + -942. What is d in -4/3*d**2 - 7*d**4 + 0*d + 16/3*d**3 + 3*d**5 + z = 0? 0, 2/3, 1 Let y be (-24)/((-42)/7) - 1. Let i(v) be the third derivative of 0*v + 0 - 1/12*v**4 + 0*v**y - 4*v**2 + 1/90*v**5. Factor i(j). 2*j*(j - 3)/3 Let m(t) be the first derivative of 2/5*t + 1/20*t**4 - 3/10*t**2 + 0*t**3 + 33. Factor m(j). (j - 1)**2*(j + 2)/5 Factor 239*b**2 + 56*b**4 + 101*b**2 + 210*b**3 + 5*b**5 - 19*b**4 + 200*b + 18*b**4. 5*b*(b + 2)**3*(b + 5) Let d(p) be the second derivative of p**7/231 + p**6/165 - p**5/22 - p**4/66 + 8*p**3/33 - 4*p**2/11 + 59*p. Suppose d(j) = 0. What is j? -2, 1 Let n(y) = -12*y**3 - 8*y**2 + 108*y + 80. Let c(f) = -2. Let z(j) = 4*c(j) + n(j). Solve z(u) = 0 for u. -3, -2/3, 3 Let n(b) be the second derivative of 0 + 26*b + 0*b**3 - 1/16*b**4 + 3/8*b**2. Factor n(d). -3*(d - 1)*(d + 1)/4 Let c(s) be the first derivative of -s**4/20 + 3*s**3 - 84*s**2/5 + 164*s/5 - 199. Factor c(m). -(m - 41)*(m - 2)**2/5 Let o be ((-2)/(-10))/((-3)/(-15))*0/2. Solve o - 10/13*i - 2/13*i**2 = 0 for i. -5, 0 Let u(m) = 4. Let x(b) = 5*b**2 - 240*b + 255. Let f(k) = -5*u(k) + x(k). Factor f(n). 5*(n - 47)*(n - 1) Let l be 3/(-7) + (-54)/(-126). Let h be l/(-2 + 2 + 1). Suppose 0 + h*o - 1/5*o**3 + 1/5*o**2 = 0. What is o? 0, 1 Let f(c) be the first derivative of -c**6/360 - c**5/90 + c**4/72 + c**3/9 + 21*c**2/2 - 12. Let k(g) be the second derivative of f(g). Factor k(u). -(u - 1)*(u + 1)*(u + 2)/3 Let o = 0 - -6. Suppose -4*j + j = -o. Solve -v**2 - 2 + j + v**4 = 0 for v. -1, 0, 1 Let q(u) be the second derivative of 7*u**9/1080 - 3*u**8/80 + u**7/21 - u**6/45 + 11*u**4/12 - 27*u. Let f(m) be the third derivative of q(m). Factor f(o). 2*o*(o - 2)*(7*o - 2)**2 Let r(m) be the second derivative of -m**7/105 - 8*m**6/75 - 21*m**5/50 - 3*m**4/5 - 3*m + 32. Let r(u) = 0. What is u? -3, -2, 0 Suppose d = -g - 2*d + 75, -135 = -2*g - 3*d. Let v be (-4)/14 - (-594)/21. Let -52*b**3 + 4 - 5*b + v*b**4 + g*b**2 - 12 + b - 24*b**3 = 0. Calculate b. -2/7, 1 Let k be 1*4737/(-21) + 8/14. Let b = 2477/11 + k. Factor -b*u**4 + 0 + 0*u**2 + 0*u + 0*u**3 + 2/11*u**5. 2*u**4*(u - 1)/11 Suppose -5*a - 310 = 2*m - 4*m, -m - 5*a = -125. Let i = -143 + m. Determine s, given that 0 - 2/9*s**3 + 4/9*s**i - 2/9*s = 0. 0, 1 Let g = -4662 + 4668. Factor g*c**2 + 0 + 0*c - 21/2*c**4 + 18*c**3. -3*c**2*(c - 2)*(7*c + 2)/2 Let p(g) be the first derivative of g**5/30 + g**4/4 + 2*g**3/3 + 8*g**2 + 5. Let x(l) be the second derivative of p(l). Factor x(z). 2*(z + 1)*(z + 2) Let n(o) be the second derivative of o**7/90 - 2*o**6/45 + o**5/30 + o**4/9 - 13*o**3/6 - 16*o. Let x(v) be the second derivative of n(v). Factor x(a). 4*(a - 1)**2*(7*a + 2)/3 Let -3/4*p**4 - 15*p + 15*p**3 + 57/4 - 27/2*p**2 = 0. Calculate p. -1, 1, 19 Let x(g) be the third derivative of g**6/280 + 3*g**5/140 + g**4/28 - 460*g**2. Factor x(j). 3*j*(j + 1)*(j + 2)/7 Let l be ((-2)/(-2) - 0) + -1. Let s = -24799 - -24803. Suppose 0*m**2 + 6/7*m**s + l*m**3 + 0*m + 0 - 3/7*m**5 = 0. Calculate m. 0, 2 Let c(y) be the second derivative of -10*y**7/21 - 2*y**6/15 + 5*y**5 + 5*y**4/3 - 40*y**3/3 - 8*y**2 + 206*y. Let c(o) = 0. Calculate o. -2, -1, -1/5, 1, 2 Let -33/2*k**2 - 9*k + 6 + 15/4*k**4 + 9/4*k**3 = 0. What is k? -2, -1, 2/5, 2 Suppose -31*x = -29*x - 64. Let r be x/10 + 4/(-20). Factor -5*k + 2*k**2 - r*k + 32 - 26. 2*(k - 3)*(k - 1) Suppose 0 = 2*v + g - 3, -3*g = v - 3 + 4. Suppose q = -5*n - 25, 0*q + 2*n = v*q - 10. Let 1/2*c**3 - 1/2*c**5 + 0 + 0*c**2 + 0*c**4 + q*c = 0. Calculate c. -1, 0, 1 Factor 0 - 10/3*k**2 - 2*k**3 - 14/9*k - 2/9*k**4. -2*k*(k + 1)**2*(k + 7)/9 Let l(g) be the second derivative of 5*g**7/42 + 23*g**6/6 + 41*g**5/2 + 295*g**4/6 + 385*g**3/6 + 95*g**2/2 - g + 113. Let l(p) = 0. Calculate p. -19, -1 Let w be 15/(-9 - -10 - 1/(-2)). Let l = w - 10. Factor -2/11*c**4 + 0*c + 0*c**2 + l - 4/11*c**3. -2*c**3*(c + 2)/11 Factor -2/7*i**2 + 2/7 + 2/7*i - 2/7*i**3. -2*(i - 1)*(i + 1)**2/7 Let j(n) be the third derivative of n**6/60 + n**5/15 - 5*n**4/12 - 2*n**3 - 3*n**2 - 33*n. Let j(c) = 0. What is c? -3, -1, 2 What is t in -1369/5 - 72/5*t**3 - 1/5*t**4 - 1222/5*t**2 + 2664/5*t = 0? -37, 1 Factor 0 + 1/3*l**4 - 11/3*l**3 - 40/3*l**2 - 28/3*l. l*(l - 14)*(l + 1)*(l + 2)/3 Let y = 26 + -26. Let r be ((-4)/1 + -2)*(-17)/357. Suppose y*c**2 - r*c**3 + 0*c + 0 = 0. Calculate c. 0 Suppose 2*o = -2*b + 14, 0 = 4*o - b + 2*b - 31. Factor 4*y**4 - o*y**2 + 8 - 2 - 2. 4*(y - 1)**2*(y + 1)**2 Let c be 12/5 + (4/10)/(-1). Factor -7*h - 7*h + 2*h**2 - 12 - 4*h**c. -2*(h + 1)*(h + 6) Let g(d) be the first derivative of d**3/9 - 20*d**2/3 + 400*d/3 + 5. Factor g(n). (n - 20)**2/3 Let x(f) be the third derivative of f**8/33600 + f**7/4200 - 3*f**5/10 - 8*f**2. Let j(u) be the third derivative of x(u). Factor j(r). 3*r*(r + 2)/5 Let x(v) = -v**3 + 25*v + 45. Let d be x(-2). Let p(b) be the first derivative of -9/20*b**4 + 0*b**2 - 4 - 12/25*b**5 + 0*b + 1/5*b**d. Factor p(w). -3*w**2*(w + 1)*(4*w - 1)/5 Let i be ((-2)/6 + 1)/(1768/(-51) + 35). Factor 0 + 6*a - 3/2*a**4 + 15/2*a**3 - 12*a**i. -3*a*(a - 2)**2*(a - 1)/2 Let r(a) be the second derivative of 1/6*a**4 + a**2 + 8*a + 0 - 2/3*a**3. Factor r(w). 2*(w - 1)**2 Let b = -1/63 - -271/63. Let l = -5427 - -37992/7. Find m such that 15/7*m**4 + 15/7*m + 3/7 + 30/7*m**2 + l*m**5 + b*m**3 = 0. -1 Let w be (-9)/(-6) - ((-22)/20 + (-4 - -6)). Factor -48/5 - 27/5*y**4 - 168/5*y**2 - 144/5*y - w*y**5 - 96/5*y**3. -3*(y + 1)*(y + 2)**4/5 Let o(a) = -2*a**2 - a - 3. Let p(d) = -7*d**2 + 3*d - 7. Let m(c) = -10*c**2 + 4*c - 10. Let q(t) = -5*m(t) + 7*p(t). Let g(s) = -o(s) - 3*q(s). Factor g(b). -b*(b + 2) Let f(v) be the second derivative of -v**6/6 - v**5/4 + 15*v**4/4 - 55*v**3/6 + 10*v**2 - 89*v. Solve f(p) = 0. -4, 1 Let o(b) be the third derivative of b**6/200 + 79*b**5/100 + 38*b**4 - 160*b**3 - 7*b**2 + 13*b. Factor o(r). 3*(r - 1)*(r + 40)**2/5 Let q = 1603/15 - 287/3. Let w = q - 11. Factor 0 + 0*c**2 + 0*c
{ "pile_set_name": "DM Mathematics" }
nominator of 139/594 and -125/11484. 34452 What is the smallest common multiple of 650 and 7995? 79950 Calculate the lowest common multiple of 742 and 714. 37842 What is the common denominator of 5/28328 and -47/216? 764856 What is the least common multiple of 48012 and 528132? 528132 Calculate the smallest common multiple of 1032 and 37. 38184 What is the lowest common multiple of 4264 and 984? 12792 Calculate the least common multiple of 26364 and 6591. 26364 Calculate the common denominator of 82/2871 and -17/94578. 8228286 What is the common denominator of 83/15 and 139/241386? 1206930 What is the lowest common multiple of 73424 and 452? 8296912 What is the common denominator of 13/145512 and 107/10? 727560 What is the common denominator of 13/89594 and -19/1657489? 3314978 Calculate the common denominator of 91/432 and 38/63. 3024 What is the least common multiple of 91 and 27125? 352625 Calculate the smallest common multiple of 1926 and 2889. 5778 Calculate the lowest common multiple of 7294 and 20840. 145880 What is the common denominator of 51/302 and 52/24915? 49830 What is the lowest common multiple of 13536 and 13248? 622656 What is the smallest common multiple of 68 and 214? 7276 Calculate the smallest common multiple of 107371 and 11. 107371 Calculate the lowest common multiple of 5720 and 400. 57200 Calculate the lowest common multiple of 26613 and 44355. 133065 Calculate the lowest common multiple of 100 and 5252. 131300 Find the common denominator of -25/6496 and -71/24360. 97440 Calculate the lowest common multiple of 996 and 1832. 456168 What is the smallest common multiple of 1791 and 73829? 664461 Calculate the common denominator of 65/742 and -3/59890. 419230 What is the common denominator of -127/3480 and -39/200? 17400 Calculate the smallest common multiple of 201 and 235. 47235 What is the smallest common multiple of 11592 and 7245? 57960 What is the least common multiple of 1479 and 540? 266220 Calculate the common denominator of 103/28 and -23/1119576. 7837032 What is the smallest common multiple of 507 and 60333? 60333 What is the least common multiple of 5379 and 66? 10758 Find the common denominator of -87/233206 and -85/8. 932824 What is the smallest common multiple of 1437016 and 1847592? 12933144 Find the common denominator of 12/140821 and 28/5989. 15912773 Calculate the common denominator of -11/4 and 57/95516. 95516 What is the least common multiple of 840 and 17910? 501480 Find the common denominator of 53/92752 and 15/103664. 1762288 What is the lowest common multiple of 153632 and 112? 1075424 Calculate the lowest common multiple of 2 and 103522. 103522 What is the lowest common multiple of 133 and 84189? 84189 What is the lowest common multiple of 4 and 1182213? 4728852 Calculate the lowest common multiple of 10842 and 1390. 54210 What is the common denominator of -99/4676 and 133/138276? 967932 What is the common denominator of -137/21750 and -37/25375? 152250 Calculate the lowest common multiple of 1033983 and 344661. 1033983 What is the common denominator of -31/17204 and -99/46? 17204 Find the common denominator of -13/1386 and -75/32. 22176 Calculate the smallest common multiple of 10332 and 1386. 113652 Calculate the common denominator of 53/33 and 11/2116245. 23278695 Find the common denominator of -151/751242 and -9/16. 6009936 Calculate the lowest common multiple of 460 and 7340. 168820 What is the common denominator of 41/64638 and -121/9828? 1680588 Find the common denominator of 93/92516 and 85/404. 92516 Calculate the lowest common multiple of 5966 and 2198. 41762 Calculate the common denominator of 104/82215 and 94/105. 82215 What is the common denominator of 73/4770 and -35/8586? 42930 What is the common denominator of -52/327 and -97/28122? 28122 What is the common denominator of -25/22 and -97/1373856? 1373856 Find the common denominator of -21/27616 and -121/144. 248544 What is the lowest common multiple of 97999 and 685993? 685993 Calculate the least common multiple of 16450 and 5915. 2780050 What is the common denominator of -11/7200 and 83/3300? 79200 What is the common denominator of -93/1012 and 27/3652? 83996 Calculate the least common multiple of 11216 and 236938. 1895504 Find the common denominator of 113/7590 and -19/1380. 15180 What is the common denominator of 75/364 and 25/105336? 1369368 What is the smallest common multiple of 246 and 71? 17466 What is the lowest common multiple of 14 and 12852? 12852 Calculate the least common multiple of 33 and 278028. 3058308 Calculate the lowest common multiple of 33856 and 29624. 236992 What is the common denominator of 5/6921 and -61/81? 62289 Find the common denominator of 7/36322 and -107/88. 145288 What is the common denominator of 9/3448 and -35/3448? 3448 What is the common denominator of 139/1540 and 17/126? 13860 Find the common denominator of -22/20275 and -7/270063. 6751575 Calculate the lowest common multiple of 157950 and 105300. 315900 What is the common denominator of -22/93969 and 17/27? 281907 What is the lowest common multiple of 6 and 29339? 176034 What is the least common multiple of 12220 and 282? 36660 Calculate the lowest common multiple of 54054 and 630. 270270 What is the common denominator of -67/5742 and 83/54549? 109098 What is the least common multiple of 5700 and 360? 34200 Calculate the lowest common multiple of 212 and 52152. 52152 What is the lowest common multiple of 70 and 2312? 80920 What is the lowest common multiple of 4180 and 40? 8360 Calculate the common denominator of 26/707 and 137/664580. 664580 Calculate the lowest common multiple of 3654 and 42630. 127890 Calculate the smallest common multiple of 3724 and 50540. 353780 Calculate the least common multiple of 40 and 27780. 55560 Calculate the smallest common multiple of 3367 and 12173. 158249 What is the smallest common multiple of 92406 and 107807? 646842 Calculate the lowest common multiple of 99 and 183069. 2013759 What is the smallest common multiple of 121 and 902? 9922 Calculate the common denominator of -27/88 and 89/1232. 1232 What is the common denominator of 49/272 and 163/1200? 20400 What is the lowest common multiple of 12534 and 1203? 5026134 Calculate the smallest common multiple of 2754 and 45900. 137700 Calculate the common denominator of 19/929016 and -86/3105. 4645080 What is the common denominator of -95/1836 and 76/7803? 31212 What is the least common multiple of 5390 and 799680? 8796480 What is the lowest common multiple of 392168 and 8344? 392168 What is the common denominator of -38/1707 and -40/23? 39261 Calculate the least common multiple of 12585 and 5065. 12748605 Calculate the smallest common multiple of 88 and 4706. 207064 What is the common denominator of -19/606242 and -81/728? 2424968 What is the common denominator of -82/429 and -21/13442? 40326 What is the common denominator of 4/39015 and 35/2754? 234090 Calculate the lowest common multiple of 6 and 13101. 26202 What is the common denominator of -31/160190 and -37/3735? 1441710 Find the common denominator of -23/55 and -40/247511. 1237555 Calculate the common denominator of 83/99770 and 73/1430. 1297010 Calculate the common denominator of -86/75 and 31/7865. 117975 Calculate the lowest common multiple of 33726 and 272874. 3001614 What is the lowest common multiple of 7511 and 15? 112665 Calculate the least common multiple of 443584 and 20. 2217920 What is the smallest common multiple of 624476 and 4? 624476 What is the smallest common multiple of 200 and 20475? 163800 What is the common denominator of 13/176 and -23/88? 176 Find the common denominator of 17/12 and -161/50286. 100572 Calculate the lowest common multiple of 11350 and 100. 22700 What is the least common multiple of 3198 and 13? 3198 Find the common denominator of -101/415760 and 85/8. 415760 What is the smallest common multiple of 6842 and 65310? 718410 Calculate the smallest common multiple of 13520 and 20. 13520 Find the common denominator of 151/168 and 167/870. 24360 What is the lowest common multiple of 284245 and 117? 2558205 Calculate the common denominator of 117/98 and -3/28714. 28714 What is the common denominator of 37/5281 and -13/15843? 15843 What is the common denominator of 85
{ "pile_set_name": "DM Mathematics" }
M? 12:45 AM What is 235 minutes after 12:22 AM? 4:17 AM What is 141 minutes before 8:08 AM? 5:47 AM How many minutes are there between 9:37 AM and 4:35 PM? 418 What is 171 minutes after 10:56 AM? 1:47 PM How many minutes are there between 8:26 AM and 2:37 PM? 371 How many minutes are there between 8:17 PM and 6:24 AM? 607 What is 480 minutes after 12:47 AM? 8:47 AM What is 354 minutes after 12:26 PM? 6:20 PM How many minutes are there between 4:43 PM and 6:58 PM? 135 What is 402 minutes before 5:24 PM? 10:42 AM How many minutes are there between 10:38 AM and 3:33 PM? 295 How many minutes are there between 4:44 AM and 8:35 AM? 231 How many minutes are there between 8:42 PM and 1:25 AM? 283 What is 692 minutes before 7:51 PM? 8:19 AM What is 88 minutes before 10:06 AM? 8:38 AM What is 644 minutes after 9:41 PM? 8:25 AM What is 655 minutes before 6:04 PM? 7:09 AM What is 49 minutes before 6:13 AM? 5:24 AM How many minutes are there between 2:09 PM and 5:38 PM? 209 How many minutes are there between 7:09 AM and 11:46 AM? 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3:53 PM How many minutes are there between 4:52 PM and 6:28 PM? 96 What is 612 minutes after 7:42 AM? 5:54 PM What is 573 minutes before 2:30 PM? 4:57 AM How many minutes are there between 3:43 PM and 10:46 PM? 423 What is 304 minutes before 12:51 AM? 7:47 PM What is 592 minutes after 3:25 PM? 1:17 AM What is 235 minutes after 4:14 PM? 8:09 PM What is 504 minutes after 10:40 PM? 7:04 AM How many minutes are there between 11:04 AM and 10:05 PM? 661 What is 631 minutes before 3:31 PM? 5:00 AM What is 576 minutes before 6:11 PM? 8:35 AM How many minutes are there between 6:58 PM and 5:32 AM? 634 What is 52 minutes after 5:24 AM? 6:16 AM How many minutes are there between 1:22 AM and 11:47 AM? 625 What is 709 minutes before 10:02 AM? 10:13 PM How many minutes are there between 10:22 AM and 12:43 PM? 141 How many minutes are there between 1:27 PM and 11:50 PM? 623 How many minutes are there between 7:54 AM and 3:30 PM? 456 What is 172 minutes after 1:19 AM? 4:11 AM How many minutes are there between 9:56 AM and 6:41 PM? 525 How many minutes are there between 7:30 AM and 6:37 PM? 667 What is 630 minutes after 3:40 AM? 2:10 PM How many minutes are there between 10:47 AM and 6:49 PM? 482 What is 318 minutes before 10:09 AM? 4:51 AM How many minutes are there between 12:24 AM and 8:32 AM? 488 How many minutes are there between 12:35 PM and 11:56 PM? 681 How many minutes are there between 5:11 AM and 6:49 AM? 98 How many minutes are there between 2:48 PM and 6:51 PM? 243 What is 249 minutes after 10:41 AM? 2:50 PM How many minutes are there between 10:41 PM and 5:49 AM? 428 How many minutes are there between 6:09 PM and 8:19 PM? 130 What is 582 minutes after 10:44 AM? 8:26 PM What is 170 minutes before 7:04 PM? 4:14 PM How many minutes are there between 4:18 PM and 3:39 AM? 681 How many minutes are there between 9:22 AM and 8:52 PM? 690 What is 706 minutes before 5:03 PM? 5:17 AM What is 709 minutes after 9:51 PM? 9:40 AM What is 265 minutes after 9:26 AM? 1:51 PM How many minutes are there between 10:35 PM and 1:59 AM? 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463 How many minutes are there between 4:42 AM and 7:14 AM? 152 What is 171 minutes before 7:26 PM? 4:35 PM What is 309 minutes after 3:02 AM? 8:11 AM What is 636 minutes before 4:08 PM? 5:32 AM How many minutes are there between 3:15 PM and 2:55 AM? 700 What is 595 minutes before 8:15 PM? 10:20 AM How many minutes are there between 12:28 PM and 5:55 PM? 327 How many minutes are there between 7:30 PM and 3:09 AM? 459 What is 33 minutes after 1:27 AM? 2:00 AM How many minutes are there between 9:55 AM and 5:21 PM? 446 How many minutes are there between 1:26 AM and 12:48 PM? 682 What is 20 minutes before 5:08 AM? 4:48 AM What is 317 minutes after 4:15 PM? 9:32 PM What is 685 minutes after 5:55 AM? 5:20 PM What is 53 minutes after 8:46 AM? 9:39 AM How many minutes are there between 1:32 PM and 12:50 AM? 678 What is 111 minutes before 2:32 AM? 12:41 AM What is 584 minutes before 6:40 PM? 8:56 AM How many minutes are there between 6:25 AM and 10:28 AM? 243 What is 552 minutes after 8:15 AM? 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634 What is 240 minut
{ "pile_set_name": "DM Mathematics" }
*(-6*1*sqrt(153) + 1 + 4)*5*4)**2. -288000*sqrt(17) + 8852800 Simplify ((sqrt(119) - sqrt(119)*5)*-4 + sqrt(119)*3*2)/(sqrt(7)*2*4 - sqrt(77)/(sqrt(110)/sqrt(10))). 22*sqrt(17)/7 Simplify 2 + (sqrt(637) + sqrt(637)*-1)*-2 + sqrt(637) + 5 + 5 + -3. 9 + 7*sqrt(13) Simplify 0 + (5*4*(-1*(sqrt(260)/sqrt(10))/sqrt(2) - (4 + (sqrt(13) - (sqrt(13) + sqrt(13) + sqrt(13)*-1 + 3)))))**2. 800*sqrt(13) + 5600 Simplify -5 + ((sqrt(480) - (sqrt(480) + sqrt(480) + sqrt(480)*3))*-3*2)/(3*(sqrt(54)*3 + sqrt(54))/sqrt(9)*-3). -8*sqrt(5)/3 - 5 Simplify ((-1*1*sqrt(5)*4 - (sqrt(5) + -6*(-2 + sqrt(5)) + -1*sqrt(320)))**2 + 5)*6. -1296*sqrt(5) + 3324 Simplify (-3 + (sqrt(72) + 1)*1 + (sqrt(72) + -1)*-3 + -4 + -2)**2. 120*sqrt(2) + 313 Simplify -3 + 3 + -3 + (-3*(sqrt(200) + -1*sqrt(200) + sqrt(200)))/(sqrt(4) + -6*(sqrt(4) - sqrt(4)*-2)). -3 + 15*sqrt(2)/17 Simplify 3*((3*sqrt(550)*-1 - sqrt(550))/(-4*(sqrt(128) - (-1*sqrt(128) - sqrt(128))))*1)**2. 275/192 Simplify 3 + -1 + ((sqrt(315)*-3)/((sqrt(125) - 1*sqrt(125) - sqrt(125) - sqrt(125) - sqrt(5)) + sqrt(5) + sqrt(5)))**2 + 2 + -4. 7 Simplify -1 + ((sqrt(275) + (sqrt(275) - (2 + sqrt(275) + 3*sqrt(275))) - -1*-1*sqrt(275))*5*2)**2. 6000*sqrt(11) + 247899 Simplify 3 + 4*(-4 + 3 + sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275) + 2)**2) + 4)) + -3 + 3. 60*sqrt(11) + 1099 Simplify ((sqrt(42)/(sqrt(12)/sqrt(2)))**2 - (sqrt(7) - 1*sqrt(14)/sqrt(2))) + 4 + ((1 + sqrt(7) + -4)*-5*3)**2 + -2. -1350*sqrt(7) + 3609 Simplify ((sqrt(147)*1 + sqrt(147))*2 + -2*(sqrt(147) + sqrt(147) + sqrt(147)*1) - (6*(sqrt(33) - (sqrt(528) - sqrt(33))))/(sqrt(44)*1))**2. 192 Simplify (5 + -4 + sqrt(567) + 1 - (1 + sqrt(567) + -4 - sqrt(567) - (2*sqrt(567) + 1)))**2*-4. -20556 - 1296*sqrt(7) Simplify ((-5*sqrt(84) + sqrt(84))/sqrt(3) - 5*sqrt(28)*-4)/((-1*sqrt(2352))/((sqrt(300) + sqrt(12))*2)). -192*sqrt(7)/7 Simplify -2*(((sqrt(216) - sqrt(216)*2)*-2 - sqrt(216))*5)/(2*sqrt(128)*2)*-5. 75*sqrt(3)/8 Simplify (sqrt(384)/((sqrt(8) - -3*sqrt(8)*1) + sqrt(8)) - (5 + (sqrt(3) - 2*sqrt(3)) + -1 + -5))**2. 18*sqrt(3)/5 + 268/25 Simplify -3 + (5*-1*(sqrt(77) - 3*sqrt(77)))/(sqrt(14)/((-1*sqrt(16))/sqrt(8))). -10*sqrt(11) - 3 Simplify -2*(5 + (-1 + 1*sqrt(1584) - sqrt(1584))**2 + (2*sqrt(880))/(sqrt(60)/sqrt(3) + sqrt(5))). -16*sqrt(11)/3 - 12 Simplify (sqrt(3888) - sqrt(3888)*2)/(4*sqrt(225) - sqrt(9)) - -6*((sqrt(12) + sqrt(3) - sqrt(3))**2 + 2 + -2*sqrt(48)). -924*sqrt(3)/19 + 84 Simplify 5 + ((sqrt(704) + 3)*1 + ((-1 + sqrt(704))*-6 - sqrt(704)) - (5*(sqrt(704) + -2) + -4 + sqrt(704) + 1))**2. -4224*sqrt(11) + 101865 Simplify (2*-4*sqrt(275) + 3 + 3 + sqrt(275))**2 - (0 + 3 + (6*sqrt(99))**2 + -2). -420*sqrt(11) + 9946 Simplify 5 + -5*(sqrt(14)/(sqrt(21)/sqrt(3) + sqrt(7)))**2*-4 + (sqrt(2) + 0 + 4 - (sqrt(16)/sqrt(4))/sqrt(2)) + -2. 17 Simplify (4 + -3 + -4 + ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 1))*-2 + -2 + -5)*3)**2. -2592*sqrt(7) + 36612 Simplify (((-1*(sqrt(495) + sqrt(495)*2))/(sqrt(99)*-3))/(6*((sqrt(441)*2 - sqrt(441)) + sqrt(441) - sqrt(441))*2))**2. 5/63504 Simplify ((sqrt(4)*1*3)/(sqrt(150)/sqrt(3) + sqrt(2)) + sqrt(8)/(sqrt(4) + sqrt(64)*-1)*5)**2. 49/18 Simplify (sqrt(65)*-3*3 - sqrt(65) - (sqrt(65) - (-2*sqrt(65) + sqrt(65) - sqrt(65)))*1)/(1*((sqrt(605) - sqrt(605)*2)*6 - sqrt(605)))*-4. -52*sqrt(13)/77 Simplify -6*((-2*sqrt(1008) + 3)*3)**2 - (3 + (sqrt(567) - 1*2*sqrt(567))**2 + 2). -218786 + 7776*sqrt(7) Simplify ((sqrt(264) - (sqrt(264) + sqrt(264) + sqrt(264) + sqrt(264)*2)*-3)/(sqrt(108)/(sqrt(27)/sqrt(3))))/(sqrt(800) - sqrt(800)*-2 - sqrt(450)*3). 16*sqrt(11)/15 Simplify ((-5 + sqrt(171) + 4*sqrt(171) + 4 + 2 + 3 + sqrt(171) + 2)*-3)**2. 1944*sqrt(19) + 55728 Simplify 3*(sqrt(192)*1 + 4*sqrt(9)/sqrt(3) + sqrt(3) - (-1*(-5 + (sqrt(243) - 1*sqrt(243))))**2). -75 + 39*sqrt(3) Simplify (-3 + -5 + ((sqrt(132) + (3*(sqrt(132) - (2*sqrt(132) - sqrt(132))) - sqrt(132)))*4)/(sqrt(972) - (3*sqrt(972) + sqrt(972))*-2))**2. 64 Simplify (0 + 4*(-5 + (2 + sqrt(200) + sqrt(200))*2) + -1*(sqrt(200) + -1 + 0 + sqrt(200))*-4)**2. -3840*sqrt(2) + 115264 Simplify (1*(sqrt(500) + sqrt(500)*3) + sqrt(500)*-3*1)/((sqrt(490) - (sqrt(490) - 5*sqrt(490)))*-5). -sqrt(2)/35 Simplify ((sqrt(18) - (sqrt(72) - sqrt(18)))*-5)/((sqrt(66)*-2)/sqrt(11)) + (-1 + -3*sqrt(147)*-4)**2. -168*sqrt(3) + 21169 Simplify (1*(4*sqrt(539) + sqrt(539)) - (sqrt(539)*1 + 0 + sqrt(539)) - (-5 + (sqrt(539) - 2*sqrt(539)*-2) + 0))**2. -140*sqrt(11) + 2181 Simplify 4 + -6*((-4*sqrt(13) + 5 - sqrt(26)/sqrt(2)*-6) + sqrt(1872) + (1*sqrt(637) - sqrt(637)))**2. -15434 - 840*sqrt(13) Simplify -3 + 4 + -2*(-3 + (sqrt(128)*-2 - sqrt(128) - sqrt(128))*-5*-6). 7 + 1920*sqrt(2) Simplify (4*3*(sqrt(90) + (3*sqrt(90) - sqrt(90)) + sqrt(90)))/(-3*(sqrt(720) + (sqrt(720)*3 - sqrt(720))) - sqrt(720)). -6*sqrt(2)/5 Simplify -3 + 1*sqrt(1100) - (sqrt(1100) + (-1 + -1*sqrt(1100))**2 + sqrt(1100)) - 2*(sqrt(66) - 4*(1*sqrt(66) + sqrt(66) - sqrt(66)))/sqrt(6). -1104 - 24*sqrt(11) Simplify (5 + (0 + (sqrt(1900) - (-1 + sqrt(1900))) + -2*sqrt(1900) + 5)**2 + 1 + -2)*-2. -15280 + 480*sqrt(19) Simplify 0 + ((-5 + (6*(-2 + sqrt(162) - sqrt(162)) - (sqrt(162) + -2 + 2)) + 2)**2 + 4)*-2. -782 - 540*sqrt(2) Simplify (-5 + (-1 + sqrt(3564) - sqrt(3564)))**2 - -6*(2 + sqrt(1584) + sqrt(1584) + sqrt(11) + 4). 72 + 150*sqrt(11) Simplify (2 + -3 + sqrt(187)/(3*sqrt(44)) + -3*sqrt(85)/sqrt(5) + (sqrt(17) + 2)*-4)**2 + -3. 123*sqrt(17) + 31385/36 Simplify ((sqrt(242) + sqrt(242) + sqrt(242)*2)/sqrt(11) + sqrt(22) + sqrt(1782)*1)/(sqrt(176)*1 + sqrt(176) - (1*sqrt(22) + sqrt(22))/sqrt(2)) + 5. 7*sqrt(2)/3 + 5 Simplify 1 + ((sqrt(120) + sqrt(120)*2)*2 + sqrt(120) + (sqrt(120) - (sqrt(120) - (sqrt(120) + 2*sqrt(120))))*-6)/(sqrt(20)/sqrt(2)*-5*4) + -3. -2 + 11*sqrt(3)/10 Simplify 5*(-3*sqrt(110)*-1*6)/(sqrt(50)/(sqrt(45)/(sqrt(9) + sqrt(324)))). 90*sqrt(11)/7 Simplify (4*1*sqrt(1539) + -4*(sqrt(1539) + 0) + 3*(sqrt(1539) + -3*-4*sqrt(1539)) + -4)**2 + -1. -2808*sqrt(19) + 2340834 Simplify (1 + ((sqrt(5472) + (sqrt(5472) - 2*sqrt(5472)))/sqrt(2) + -1 - (5*(sqrt(1900) + -1) + 0)))**2. -500*sqrt(19) + 47525 Simplify (-3*sqrt(156)*-2 + (sqrt(156)*-2*6 - sqrt(156)))/(-6*((sqrt(12) + sqrt(36)/sqrt(3))*3 - sqrt(12) - (sqrt(12) + -2*sqrt(192)))). 7*sqrt(13)/72 Simplify (sqrt(5) + -1 + sqrt(5) + 3 + -4*sqrt(125))**2 - 2*sqrt(40)/(sqrt(1152)*-3). -1295*sqrt(5)/18 + 1624 Simplify (-2*(sqrt(9072)*2 + sqrt(9072)))/((sqrt(540)/(sqrt(12)*-2))/sqrt(5)). 144*sqrt(7) Simplify -5*-5*(0 + ((1 + sqrt(833) + 5)**2 - (3 + sqrt(425) + 0))). 1975*sqrt(17) + 21650 Simplify ((sqrt(68)*1)/sqrt(4) - (sqrt(17) + 0)*-4)*-3*-4 - -4*(-3 + sqrt(17) + sqrt(425)*2 + 4). 4 + 104*sqrt(17) Simplify ((-1*sqrt(105)*-5)/(sqrt(7) - (-2*sqrt(252) + sqrt(252))))/(-2*sqrt(147) + (sqrt(3) - sqrt(147))*2). -5*sqrt(5)/182 Simplify (5*1*sqrt(60)*-1)/(-1*sqrt(1200)*2) + 0. sqrt(5)/4 Simplify 5*((6*(sqrt(133) - 5*sqrt(133))*3)/(((sqrt(567) + sqrt(567)*4)*6 - sqrt(567)) + sqrt(567) - sqrt(567) - sqrt(567))*3)**2. 3420/49 Simplify (sqrt(119) + (sqrt(119) + sqrt(119)*2)*6 + -2*sqrt(119)*2 + sqrt(119))/((sqrt(7) - sqrt(21)/sqrt(3) - sqrt(7))*-1 - sqrt(7)*1*-1) + -5. -5 + 8*sqrt(17) Simplify (-4*sqrt(242) - 4*sqrt(6)/sqrt(3) - (sqrt(2880)*2)/(sqrt(1440) + (sqrt(1440)*-2 - sqrt(1440))))**2. 4418 Simplify 4*((-1*(sqrt(99) + 1 - sqrt(99)))**2 + -3 + ((1*sqrt(176) - sqrt(176))/sqrt(4))/(-2*sqrt(4)*6)). -8 Simplify 0 + ((sqrt(99) + -3*(sqrt(99) - (sqrt(99) - sqrt(99)*-2)) + sqrt(99))/(-1*sqrt(1089)) - ((sqrt(176) - (5 + sqrt(176)*1)) + 3)). -8*sqrt(11)/11 + 2 Simplify (2*((1 + 0 + sqrt(832) + 0)*-1 - 3*(sqrt(832)*-2 + 3)*-1))**2. -3584*sqrt(13) + 163328 Simplify (-5*sqrt(252)*2*4 + (((sqrt(175) - sqrt(7)) + 0)**2 - 5*(sqrt(112) - sqrt(7))**2))*4. -960*sqrt(7) - 812 Simplify -2*(-3*((sqrt(833) - (sqrt(833)*-2)**2)*-5 + (sqrt(833) - (2*(sqrt(833) + 1 + sqrt(833)))**2)) + -5). -840*sqrt(17) + 19978 Simplify (sqrt(540)/sqrt(490) + sqrt(54))/((sqrt(242) - (sqrt(242) + sqrt(242)*-4))*-2). -3*sqrt(3)/77 Simplify (-4*(sqrt(550) + -1*sqrt(550) - sqrt(550) - sqrt(550))*-2)/((sqrt(84)/(sqrt(96) + sqrt(6)))/sqrt(7)*-6). 200*sqrt(11)/3 Simplify (-4*3*(sqrt(133)*-4 + sqrt(133))*-5)/(sqrt(7) - (sqrt(7) - 2*(sqrt(7) + sqrt(567))) - 2*sqrt(35)/sqrt(5)). -10*sqrt(19) Simplify (-
{ "pile_set_name": "DM Mathematics" }
- 7. What is the closest to 0 in z, -1, -1/11? -1/11 Suppose h - 2*q - 34 = -2*h, -4*h + 50 = -5*q. Suppose 5*p + 0 = h. Suppose -p*o + 4 = -0. Which is the closest to 1? (a) o (b) 4 (c) 1/4 c Let y = 401 - 399. Let q(o) = o**3 + 3*o**2 + 2*o + 3. Let b be q(-2). What is the nearest to y in -2/5, b, 4? b Let p = 0.1 - -0.9. Let h = -4 + p. Let f = h + 3.1. Which is the nearest to f? (a) -3/2 (b) 5 (c) -1/10 c Let j = -5 - -6. Let n = -3 - j. Which is the closest to 0.2? (a) n (b) 2/11 (c) -5 b Let j = -1.44 - -1.4. Let k = -0.06 + j. What is the closest to 0.1 in 2, -2, k? k Let z(d) = 14*d**2 + 2*d + 1. Let m be z(-1). Let o = -13 + m. What is the closest to -1 in -2/5, -3, o? -2/5 Let j = -2 - -2.1. Let k(c) = -c**2 - 2*c + 2. Let y be k(5). Let g be (2 - -1)*(-2)/y. What is the closest to j in g, 0.2, 0.1? 0.1 Let r = -0.6 - -0.9. Which is the closest to 0? (a) -1 (b) 2 (c) r c Let s be 3/((-4)/((-8)/(-21))). Let j = 0.61 + -0.11. Which is the nearest to -1? (a) s (b) 4 (c) j a Let d = -0.1 + 0. Let k = 1.5 - 2. Let j = 19 - 20. Which is the nearest to d? (a) j (b) -0.2 (c) k b Let h = 1.83 - 0.83. Which is the nearest to h? (a) -0.4 (b) 1/10 (c) 2 b Let u = 0.13 - 0.13. Let x = 77 + -233/3. What is the closest to u in 3/7, -0.2, x? -0.2 Suppose 0*q + q = -30. Let m be 80/q*(-2)/24. What is the nearest to m in 4, 3/4, -3? 3/4 Let k = 14 - 15. What is the nearest to -2/7 in -0.2, k, -2/3? -0.2 Let u = 0.24 - 2.94. Let j = 1 - 0.7. Let d = u - j. What is the nearest to 0.2 in -1/2, 5, d? -1/2 Let j be 1/2*(-2)/9. Let g = -48 - -47.8. Which is the nearest to 0? (a) g (b) j (c) -2 b Let m = -26.4 + 26. Which is the closest to -0.1? (a) -0.1 (b) 0.3 (c) m a Let b be 14/112*(1 + -3). What is the closest to 0 in -9/7, 2/9, b? 2/9 Let f = -16/13 + 71/26. What is the closest to f in -0.2, -3, -0.3? -0.2 Let b = -20 + 20.1. What is the nearest to b in 3, 0, 2/13? 2/13 Let r = -0.5 + 0.1. Let m = -13/5 + 59/15. Let f = 0.03 + 3.97. Which is the nearest to 1? (a) f (b) m (c) r b Let i = 3 + -2. Let p = 2.5 + 1.5. What is the closest to 1/3 in p, -1/6, i? -1/6 Let r be 9/((-315)/(-80)) - 2/1. Which is the closest to 1? (a) -5 (b) r (c) 1/2 c Let m = 3.67 - 0.67. Which is the nearest to 0? (a) 1 (b) m (c) 2/17 c Let m be 5 + (2 - (-6)/(-3)). What is the nearest to -1/4 in 2/7, m, 0? 0 Let d = -13 - -10. Which is the nearest to -2/9? (a) d (b) -2 (c) 0.5 c Let s = -35 - -35.1. Which is the closest to s? (a) 3 (b) -2 (c) 2 c Let q = -0.8 + 1.1. Let o(w) = 5*w**2 - 5*w - 2*w**2 - 4*w**2. Let t be o(-5). What is the closest to t in q, 2/23, -2/7? 2/23 Let j = -6 + 11. Which is the nearest to 0.2? (a) j (b) -2/5 (c) -4 b Let l = 27 - 31. Which is the closest to 0.1? (a) -1/13 (b) l (c) -1/2 a Let t = -53 - -53. What is the closest to -1 in t, 12, 5? t Let y be 8/(-12) - 14/(-30). Let r = 0.114 + -0.014. Let f = -0.2 - -0.3. What is the closest to f in 0, y, r? r Let t = -2/181 - 165/1448. Which is the closest to 0? (a) 1/5 (b) t (c) 3 b Let c be (12/18)/((-20)/6). What is the nearest to 1/2 in 1, 0.2, c? 0.2 Let t = -0.874 - 0.126. Let u be 1/36 - 2/(-9). Which is the nearest to 0.2? (a) t (b) u (c) -0.5 b Let s = 29 + -88/3. Let g = 0.1 - 0. Let r = g - 1.1. What is the nearest to 2 in s, r, 1? 1 Suppose 8*d - 4 = 4*d. Let r = -87429/11 - -7957. Let j = r + -719/77. What is the nearest to d in -1/2, j, -2? j Let t be 3365/(-45) + 2/(-9). Let i = t + 373/5. Which is the closest to 1? (a) -3 (b) i (c) 0.3 c Let d(q) = -3*q + 1. Let c be d(-2). Suppose -c*y = -6*y - 4. Let s be ((-1)/y)/((-3)/(-4)). What is the closest to s in 0.3, -0.1, -5? -0.1 Let w = 74 + -70. Which is the nearest to -2? (a) -3/2 (b) -0.2 (c) w a Suppose 21 = -x - 5*d, 3*d = -5*x - d. What is the closest to -2/9 in x, 0.4, -8? 0.4 Let g be 1/(2 - (-3 - -8)). What is the closest to g in 2/7, -0.3, -0.5? -0.3 Let p be ((-3)/15)/((-2)/4). What is the nearest to p in 2, -1/5, 5? -1/5 Let j = 14 + -15. Let i = 7 + -27/4. Let n = 0.2 - 0.3. Which is the closest to n? (a) j (b) i (c) -0.2 c Suppose 0 = 5*n - 4*l - 9, -9 - 23 = -4*n - 3*l. Let u(t) = t**3 + 5*t**2 + 5*t - 4. Let q be u(-3). What is the nearest to q in -1/4, 1/3, n? -1/4 Let h be (-8 - -7)*-2*1/(-6). Let u be ((-4)/(-3))/(2/6). Let x(w) = -w + 3. Let t be x(u). Which is the nearest to h? (a) -1/4 (b) t (c) 2/5 a Let z = 2.6 + -3. Let r = -13 + 13.5. Let h be (2/(-12))/(3/12). Which is the nearest to h? (a) r (b) z (c) 6 b Let i = 13/66 + -1/66. Let z = 0.06 + -0.46. Let q = z + -2.6. Which is the nearest to 1? (a) -2 (b) q (c) i c Let s be 8/6*3/1. Which is the closest to -1? (a) 2 (b) -4/7 (c) s b Let j be 7/(-84)*8/(-5). Let h = -0.3 + 2.3. Let g = 3 + -2.9. What is the closest to g in -0.2, h, j? j Let l = -4.1 + 3. Let m = 1 + l. What is the nearest to m in -1, 4, 1? -1 Let z(c) = c**2 - 2*c + 1. Let p be z(2). Let m = -14 - -30. Let a = m + -15.5. What is the nearest to p in 5, -5, a? a Let y(i) = -5*i + 2. Let x be y(1). What is the closest to -0.8 in 0.4, x, 5? 0.4 Let l be (-3)/(-63) + (-3)/9. Let k = 0.5 + -2.5. Which is the closest to 2/3? (a) k (b) 2/7 (c) l b Let o = -0.1 - 0.2. Let p = -0.03 + -0.07. Let u be (-2)/(-2) - 12/9. Which is the closest to u? (a) o (b) p (c) -1/4 a Let q be 2/(0 - 2)*-1. Suppose 2*p - 6*p - 12 = 0. Let f be ((-4)/(-6))/(7/p). Which is the nearest to f? (a) 0.1 (b) q (c) -3 a Let i be 12/90 + (-1)/(-5). Which is the nearest to 0.3? (a) i (b) 0 (c) 5/4 a Let u = 9 - 17/2. Which is the closest to 1? (a) -1 (b) -4 (c) u c Let v = -36 + 16. Let f = v + 19. Which is the closest to f? (a) -3 (b) -1/2 (c) 0 b Let h be (-34)/14 + (-9 - -11). Let m = 0 + 2. Which is the nearest to m? (a) h (b) -4/9 (c) -0.1 c Suppose 4*p = -w - 7, 3*p + 26 = 5*w - 8. Let y = -79/114 - -1/38. Which is the nearest to y? (a) 0.4 (b) w (c) -2 a Let d = -0.12 + -4.88. Let f = -4.7 - d. What is the closest to -6 in -5, f, -2/5? -5 Let w be 2 + (-50)/4*8. Let u = -684/7 - w. What is the nearest to u in 3, 0.3, -1/4? 0.3 Let x = -18 - -53/3. Which is the closest to x? (a) 5 (b) 0 (c) 1 b Let h = -0.5 - -3.5. Suppose 3*g = -3*n + 12, 2*g + 3*n - 16 = -3. Which is the nearest to g? (a) 3/2 (b) h (c) -0.5 c Suppose -4*n = -0*n + 8. Let v be 0 - (-3)/(-9)*n. Let f = -10 - -7. Which is the closest to v? (a) 0.1 (b) -4 (c) f a Let y(g) = -9*g**2 - 2. Let v be y(-2). Let z = -113/3 - v. Which is the nearest to z? (a) -4/3 (b) -4 (c) 0.2 c Let a = 4.5 + -30.5. Let x = -23 - a. What is the closest to -2/7 in 0.3, -3, x? 0.3 Let l = -2 - -4/3. Let d = -0.7 + -3.3. Let u = 65 - 65.2. Which is the closest to l? (a) d (b) 0.1 (c) u c Let d = -8.1 + 8. Let f = 0.1 + 0.9. What is the closest to f in -5, d, 3? d Suppose -2*l = 20 - 0. Let s be (l/90)/(2/(-4)). Which is the nearest to 1/2? (a) 6/7 (b) -2 (c) s c Let b = 134/5 + -27. What is the closest to 1 in -2/5, b, 0.3? 0.3 Let j = 3.024 + -0.024. Which is the closest to 0? (a) j (b) 2 (c) -5 b Let m = 0.9 + 1.1. Let o = -19 + 18.9. Which is the nearest to o? (a) 0 (b) -0.5 (c) m a Let x be (2/(-28))/((-6)/8). Let h be 3/12 + (-13)/20. Which is the closest to -2/3? (a) x (b) h (c) 0.2 b Suppose -m + 3*m = 2. Let t = 0.12 + 0.08. Which is the nearest to t? (a) m (b) -0.4 (c) -2 b Let n = 1.87 + 0.03. Let b = 2 - n. What is the closest to 0.1 in 0.2, -1, b? b Suppose 91 - 85 = 2*v. Let o = 5 - 0. Let f = -4.6 + o. What is the closest to -1 in -1/2, v, f? -1/2 Let t = 3 - -1. Which is the nearest to 0? (a) 2 (b) -1/3 (c) t b Let r = -0.5 + 0.3. Let q = -3 - -2.9. What is the nearest to r in 1/7, q, 2? q Let q = -5.9 + 0.9. Let x = -2.85 - 0.15. Let g(p) = p**3 - p**2 - p + 2. Let d be g(2). Which is the closest to -1? (a) x (b) q (c) d a Let f = 144 - 147. Which is the closest to -0.1? (a) f (b) 2 (c) -1/4 c Let c = -15.5 + 15. Let q = 0.4 + c. What is the nearest to q in 0, -1, 4? 0 Let t be (-83)/(-2) - 6/4. Suppose 4*h - t = 4*g - h, -4*g - 12 = 2*h. Let q = -0.26 + 0.06. What is the closest to q in g, -1/4, 2/5? -1/4 Let z = 17 - 19. Which is the closest to z? (a) -2 (b) -3 (c) -0.1 a Let q = -0.3 + -0.2. Let i be 48/(-27)*1 + 2. What is the ne
{ "pile_set_name": "DM Mathematics" }
*p**2 = 0 for p. 1/2, 1 Let p(g) be the first derivative of -2*g**5/35 + 19*g**4/28 - 16*g**3/7 + 11*g**2/14 + 20*g/7 - 138. Solve p(u) = 0 for u. -1/2, 1, 4, 5 Factor 2*i**2 + 2*i**2 + 27*i + 784 + 51*i + 34*i. 4*(i + 14)**2 Let l(b) be the first derivative of 4*b**3/3 - 24*b**2 - 180*b + 65. Factor l(z). 4*(z - 15)*(z + 3) Suppose 0 = 2*c - 6, 7*c = w + 2*c + 11. Suppose w*h - 13 = 7. Suppose 0*d**4 - 15*d**3 - 4*d + h*d**4 - d + 15*d**2 = 0. Calculate d. 0, 1 Let h(b) = 2*b**3 + b**2. Let k be h(2). Let i = k - 17. Factor 0 + 3/4*s**4 - 9/4*s**i + 3/2*s**2 + 0*s. 3*s**2*(s - 2)*(s - 1)/4 Determine i so that 14*i**4 + 17*i**4 + 11*i**3 - 5*i**5 - i**3 - 36*i**4 = 0. -2, 0, 1 Let v(c) = 9*c**2 - c. Let g be v(1). Factor -g + 421*n**2 - 23*n - n - 431*n**2. -2*(n + 2)*(5*n + 2) Let d(j) = 3*j**2 - 2*j + 2. Let r(k) = 7*k**2 - 5*k + 5. Let f = 16 + -13. Let g be (-4)/2 + (0 - f). Let c(s) = g*d(s) + 2*r(s). What is l in c(l) = 0? 0 Let u(h) be the second derivative of 16/3*h**3 + 57*h - 1/5*h**5 - 7/3*h**4 + 0 + 0*h**2. Factor u(b). -4*b*(b - 1)*(b + 8) Let p(w) be the first derivative of 2*w**5/65 + 7*w**4/26 + 16*w**3/39 - 16*w**2/13 - 702. Factor p(d). 2*d*(d - 1)*(d + 4)**2/13 Let k(v) be the first derivative of -v**6/6 + 11*v**5/5 + 3*v**4/2 - 58*v**3/3 - 85*v**2/2 - 33*v + 322. Factor k(z). -(z - 11)*(z - 3)*(z + 1)**3 Let k(j) be the second derivative of j**7/147 - 2*j**5/35 + j**4/21 + j**3/7 - 2*j**2/7 + 40*j - 1. Factor k(i). 2*(i - 1)**3*(i + 1)*(i + 2)/7 Factor -624/7*r**3 + 102400/7 + 23056/7*r**2 + 4/7*r**4 + 99840/7*r. 4*(r - 80)**2*(r + 2)**2/7 Let u(g) = g**2 - g + 1. Let h(z) = 10*z**2 - 77*z - 1078. Let y(d) = 2*h(d) - 22*u(d). Factor y(p). -2*(p + 33)**2 Factor -10814*p**2 + 10913*p**2 + 5*p + 48*p**4 - 32*p - 120*p**3. 3*p*(p - 1)*(4*p - 3)**2 Let c be ((-32)/(-10))/(-102*(-13)/195). Let w(m) be the first derivative of 6/17*m**3 - 4 - 16/17*m**2 - c*m. Find t, given that w(t) = 0. -2/9, 2 Let z be 3 - 6 - -4 - (9 + -8). Suppose 5*w = 4*i + 42, 0 = -3*w - 4*i + 9 - 3. Suppose -w + z*d + 3/2*d**2 = 0. Calculate d. -2, 2 Let y(l) = -5*l**2 - 6*l + 7. Suppose -3*p + 8 = -4. Let b(q) = -q**2 - q + 1. Let g(m) = p*b(m) - y(m). Solve g(f) = 0. -3, 1 Solve -55/4*n**2 - 35/4*n**3 + 45/4*n**4 + 5/2 + 35/4*n = 0. -1, -2/9, 1 Let h(u) = -u**2 + u + 9. Let b(q) = -1 + 5 - 1 - 2. Suppose 3 = -5*y - 12. Let x(g) = y*h(g) + 21*b(g). Suppose x(d) = 0. Calculate d. -1, 2 Let y(u) = 4*u**3 + 11 - 2*u**3 - 6*u**3 + 10*u + 4*u**2. Let h(k) = 7*k**3 - 7*k**2 - 20*k - 21. Let j(o) = 3*h(o) + 5*y(o). Determine q, given that j(q) = 0. -2, -1, 4 Let p = 39 - 27. Let b be (-5)/12 - (-8)/p. Factor -b*t**2 + 0 + 1/2*t. -t*(t - 2)/4 Let c(t) = 40*t**3 + 310*t**2 - 272*t + 26. Let w(n) = -n**3 - 3. Let l(j) = c(j) - 10*w(j). Solve l(m) = 0 for m. -7, 2/5 Let y be 2 + 2 + 0*(1 - 0). Factor -6*v**2 - 2*v**3 - 16*v**y - 2*v**2 - 18*v**3 - 4*v**5. -4*v**2*(v + 1)**2*(v + 2) Let v = 13337/5555 + -1/1111. Let 0*g - v + 3/5*g**2 = 0. What is g? -2, 2 Let r be 7/((-35)/33) + 7. Factor 0*b + 0*b**2 + 0 + 1/5*b**5 - r*b**3 + 1/5*b**4. b**3*(b - 1)*(b + 2)/5 Factor -9*l**3 - 79*l**3 + 386 + 1056*l + 388*l**2 + 210 + 4*l**4 - 20. 4*(l - 12)**2*(l + 1)**2 Suppose 2*p + 2*k - 8 = 0, 4*p - 16 = 3*k + 2*k. Suppose p*w + 2 = r, 6 = 3*r - 2*w + 7*w. Suppose 7*v**r + 2*v**3 - v - 9*v**3 - 3*v**3 = 0. What is v? 0, 1/5, 1/2 Let k be (-6)/(0 - -3) + 11. Suppose 3*q - w - k = -q, -4*q + 13 = -5*w. Find x such that 1 + 3*x + q*x**2 + 2*x**2 + 1 - 3*x**2 = 0. -2, -1 Let i(z) be the second derivative of -10*z + 1/48*z**4 + 5/12*z**3 + 25/8*z**2 + 0. Find p, given that i(p) = 0. -5 Determine l so that -11*l**3 - 2*l**4 - 4*l**2 - 4*l + 3*l**4 + 12*l**3 = 0. -2, -1, 0, 2 Solve 96*u**3 - 6*u**3 - 5*u**5 - 193*u**4 + 160*u**4 - 1372*u**2 + 138*u**4 - 26325*u - 30375 - 4838*u**2 = 0 for u. -3, 15 Factor -40/7*l**3 - 2/7*l**4 - 236/7*l**2 - 360/7*l - 162/7. -2*(l + 1)**2*(l + 9)**2/7 Let h(i) be the third derivative of 2*i**7/105 + i**6/15 - i**5/5 - 4*i**4/3 - 8*i**3/3 - 23*i**2. Determine p, given that h(p) = 0. -2, -1, 2 Let i(t) be the second derivative of t**4/18 - 25*t**3/9 - 26*t**2/3 + 276*t. Factor i(h). 2*(h - 26)*(h + 1)/3 Let n(i) = -3*i**2 + 3*i + 8. Let w be n(-1). Suppose 2/5*f + 1/5*f**w + 1/5 = 0. Calculate f. -1 Let h be (-8)/3 - 6/(-9). Let b be 3/(-6)*h - -6. Determine p, given that 2*p**3 + b*p**4 - 7*p**2 - p**4 + 3*p**2 = 0. -1, 0, 2/3 Let r = -263 + 266. Let n(w) be the first derivative of 1/4*w**r - 2 + 0*w - 3/8*w**2. Let n(i) = 0. What is i? 0, 1 Let u(p) be the second derivative of 0*p**3 - 7/2*p**2 + 0 + 1/80*p**5 + 1/32*p**4 - 9*p. Let g(c) be the first derivative of u(c). Factor g(j). 3*j*(j + 1)/4 Let k(d) be the third derivative of -d**6/660 - 2*d**5/165 + d**4/12 - 2*d**3/11 - 264*d**2. Suppose k(n) = 0. What is n? -6, 1 Solve -114/7 + 116/7*k - 2/7*k**2 = 0 for k. 1, 57 Let l(o) be the second derivative of -o**6/30 + 3*o**5/20 + 9*o**4/4 - 45*o**3/2 + 81*o**2 - 10*o - 5. Solve l(v) = 0 for v. -6, 3 Suppose 4*u + 0*y + 2*y - 78 = 0, 2*y = u - 7. Let j(l) = 4*l - 68. Let z be j(u). Factor 3/4*n**2 + z*n - 1 + 1/4*n**3. (n - 1)*(n + 2)**2/4 Let k(m) = m**2 + 20*m - 27. Let q be k(-21). Let d(b) = b**4. Let f(y) = -y**4 - 2*y**3 - 4*y**2. Let s(j) = q*d(j) - 2*f(j). Factor s(u). -4*u**2*(u - 2)*(u + 1) Let d(m) be the second derivative of 13/36*m**4 + 1/126*m**7 + 2/9*m**3 + 0*m**2 + 0 - 35*m + 1/4*m**5 + 7/90*m**6. Determine c, given that d(c) = 0. -4, -1, 0 Let m(w) be the second derivative of 0*w**2 - 1/36*w**4 + 0 - 1/9*w**3 + 8*w. Solve m(u) = 0 for u. -2, 0 Let m(g) be the first derivative of g**5/5 - 3*g**4 + 35*g**3/3 + 6*g**2 - 36*g + 138. Find y such that m(y) = 0. -1, 1, 6 Suppose 5*h - 46 = -11. What is w in -2*w**3 - w**4 - 4*w**3 + h*w**3 - 2*w**2 - 4*w**3 = 0? -2, -1, 0 What is c in 95*c**5 + 45*c**5 + 652*c**3 + 540*c**2 + 308*c**3 - 92*c**2 + 149*c - 85*c + 656*c**4 = 0? -2, -2/5, -2/7, 0 Let m = -94 - -96. Let d(o) be the second derivative of 2/3*o**3 + 2/9*o**4 + 0*o**m + 0 - o - 1/15*o**5. Determine t, given that d(t) = 0. -1, 0, 3 Determine t, given that -2*t**4 - 72*t**2 - 59*t**2 - 67*t**2 - 16*t**3 + 166*t**2 = 0. -4, 0 Let a(i) be the first derivative of -4*i**5/5 - 31*i**4/20 + 3*i**3/5 + 126. Factor a(v). -v**2*(4*v - 1)*(5*v + 9)/5 Suppose 0 = 2*d + 1 - 25. Let g be ((-4)/18)/((-4)/d). Solve 2/3 + g*j**2 + 4/3*j = 0 for j. -1 Suppose -2*r = -54*v + 57*v + 4, 0 = -3*v - r + 1. Factor -3/4*o**v + 9/4*o - 3/2. -3*(o - 2)*(o - 1)/4 Let q(x) be the second derivative of -2*x**7/21 - 2*x**6/3 - 9*x**5/5 - 7*x**4/3 - 4*x**3/3 - 2*x - 5. Factor q(p). -4*p*(p + 1)**3*(p + 2) Let r(z) be the third derivative of z**7/210 + 13*z**6/600 + 11*z**5/300 + z**4/40 + 2*z**2 + 33. Factor r(t). t*(t + 1)**2*(5*t + 3)/5 Let s(x) be the first derivative of -1/4*x**3 - 3/8*x**2 - 5 - 1/4*x - 1/16*x**4. Factor s(u). -(u + 1)**3/4 Let j(k) = -11*k**2 + 15*k + 19. Let b(u) = -u**2 - 1. Let v(h) = -3*b(h) - j(h). Let r(n) = 15*n**2 - 15*n - 15. Let x(y) = -2*r(y) + 3*v(y). Factor x(d). 3*(d - 2)*(4*d + 3) Let a(v) be the second derivative of v**5/120 + v**4/32 + v**3/24 - 17*v**2/2 - 11*v. Let d(q) be the first derivative of a(q). Determine g so that d(g) = 0. -1, -1/2 Let i be ((-63)/45 - -2) + 0/(-2). Let u(d) be the second derivative of -i*d**6 - 11*d + 0 + 5/2*d**5 + 2*d**2 - 7/2*d**4 + d**3. Factor u(v). -2*(v - 1)**3*(9*v + 2) Suppose 2*w - 30 = 2*h + w, -h - 33 = -5*w. Let m = h + 17. Determine z so that z**4 - m*z**4 - 7*z**3 + z**3 = 0. -2, 0 Factor -3260/3*k**2 - 64/3*k**4 - 4600/3*k - 722/3*k**3 - 2000/3 - 2/3*k**5. -2*(k + 1)**2*(k + 10)**3/3 Let z = 15 - 74/5. Let o = -119 - -598/5. Factor -o*n**3 - 2/5*n**2 + 0 + 0*n - z*n**4. -n**2*(n + 1)*(n + 2)/5 Let y(z) be the third derivative of 1/102*z**5 - 2/51*z**4 + 0*z + 4/51*z**3 - 23*z**2 + 0 - 1/1020*z**6. Solve y(x) = 0 for x. 1, 2 Let f(i) be the third derivative of 7*i**6/270 + 338*i**5/135 + 688*i**4/9 + 256*i**3/3 + 51*i**2 + 2. Suppose f(r) = 0. Calculate r. -24, -2/7 Suppose 10 = 6*y + 10. Let v(u) be the second derivative of 4/75*u**6 + 0*u**2 + 1/105*u**7 + y - 2*u + 2/15*u**4 + 3/25*u**5 + 1/15*u**3. Solve v(n) = 0. -1, 0 Let c(o) = 2*o**2 - 269*o - 3514. Let j be c(-12). Suppo
{ "pile_set_name": "DM Mathematics" }
+ -3 - -5*-1*(sqrt(80) + sqrt(80) + -3 + 2))**2. -240*sqrt(5) + 2036 Simplify (1*sqrt(132)*2 - 3*(sqrt(132) + 1*sqrt(132)))/(sqrt(144)/((sqrt(12) + (sqrt(12)*-1 - sqrt(12)))*-4))*6. -96*sqrt(11) Simplify (5 + (sqrt(495)/sqrt(5) - sqrt(33)/(sqrt(3)*3)))**2 - (-4*(3 + (sqrt(11) - (sqrt(22)/sqrt(2) - sqrt(11)))) - (4 + -2*sqrt(1584))**2). -484*sqrt(11)/3 + 58205/9 Simplify (-2*-2*sqrt(77)*1*-2)/(sqrt(7)*2*4 - 1*(sqrt(7)*4 + sqrt(7))). -8*sqrt(11)/3 Simplify 1*(1*(2*sqrt(64)*-2 - -4*sqrt(64)*2)/((sqrt(20) + sqrt(20) + (2*sqrt(980) + sqrt(980) - sqrt(980)))/sqrt(10)))**2. 2 Simplify ((sqrt(95)*-2*3 - sqrt(95))*-2*5)/((sqrt(200) + sqrt(200)*-2)/((sqrt(90) - (sqrt(90)*2 - sqrt(90)) - sqrt(90))/sqrt(9))). 35*sqrt(19) Simplify 5*(3 + (sqrt(1539) + (-6*(sqrt(1539) + -1))**2 - (2 + sqrt(1539)*1)) + (sqrt(1539) + 3*(sqrt(1539) + 2))**2 + sqrt(1539)*-2*4). -1440*sqrt(19) + 400505 Simplify (((-4 + -1 + sqrt(1620) + sqrt(1620))*4 - (-2 + sqrt(1620) + -3*(sqrt(1620) + -1))) + -1)**2. -7920*sqrt(5) + 162484 Simplify (-5 + -4 + -5*(5 + sqrt(2450) + 1)*-2)*-6. -2100*sqrt(2) - 306 Simplify -3*(0 + (5*((-1*sqrt(125) - sqrt(125)) + -2) - (2 + (sqrt(125) - (sqrt(125) + (sqrt(125) + -3*(sqrt(125) + -1))**2 + sqrt(125))))) + 4). -1503 + 315*sqrt(5) Simplify -4*(6*(-5 + sqrt(304) + 4 + (sqrt(304) + sqrt(304) + (-3 + sqrt(304) + 0 - sqrt(304) - sqrt(304)) + sqrt(304) - sqrt(304)) + sqrt(304)))**2. -396288 + 13824*sqrt(19) Simplify 4*(((sqrt(25) - sqrt(25)*4) + sqrt(25))*-2*-5)/(-5*sqrt(405)*-1)*-5. 80*sqrt(5)/9 Simplify -5*((-4*sqrt(468) + 3)*-6*-4 + -5). -335 + 2880*sqrt(13) Simplify 4*-2*(3 + ((sqrt(1008) - (-1 + sqrt(1008))) + -1 - sqrt(1008)) + 1 + sqrt(1008) + -4)*5 + 2. 2 Simplify (((sqrt(104) + (sqrt(104) - 2*sqrt(104)*4) - 6*-1*sqrt(104))*-5)/(1*-4*sqrt(512)*-2))**2. 0 Simplify (3 + 4*(sqrt(242) + 0)*1)*-6 - ((5 + sqrt(242) + (-4*-1*sqrt(242))**2)*5 + 5). -19408 - 319*sqrt(2) Simplify (sqrt(154)/sqrt(567) - sqrt(154)/(sqrt(7)*-5))/(-6*sqrt(99)*-5*-6). -7*sqrt(2)/12150 Simplify (0 + (-3 + -6*-4*sqrt(22)/(sqrt(22)/sqrt(72)))*-2)**2. -3456*sqrt(2) + 165924 Simplify (4*sqrt(1664))/sqrt(2)*2 + (-3*(sqrt(1573) + 0 + sqrt(1573)) + (0 + sqrt(1573))*6)**2. 64*sqrt(13) Simplify (((-1*sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300)) + (sqrt(108)*2)/sqrt(9))/(sqrt(44)/(sqrt(11)*-2)*3). 16*sqrt(3)/3 Simplify (5*(sqrt(204) - sqrt(204)*-3) + -5*(sqrt(204) + 2*sqrt(204)))/(-1*sqrt(972)*4*6). -5*sqrt(17)/216 Simplify -5*(4 + ((sqrt(77)*6*-1)/(sqrt(891) + sqrt(891) + -5*sqrt(891)))**2). -1760/81 Simplify 6*(-1*((sqrt(833) - (sqrt(833) + 1)) + 2)*5)**2 + 4. 154 Simplify 4 + -3 + sqrt(1053) + 4*(sqrt(1053) - (sqrt(1053) + 0))**2 + 5 + 1 + -5 + -4. -2 + 9*sqrt(13) Simplify ((1 + sqrt(300) - sqrt(300))*1*-3 + -4)**2 + -1*(-2*(-1 + sqrt(300)) + sqrt(300) + sqrt(300) + -2*sqrt(300) + 1). 20*sqrt(3) + 46 Simplify (sqrt(4536)*1 - sqrt(4536))/(sqrt(48)/sqrt(6)*4) + (1 + (sqrt(2541)*1)/sqrt(3))*1. 1 + 11*sqrt(7) Simplify -4 + -4*(1 + sqrt(1216) + sqrt(1216) + sqrt(1216) + -3 + 4 + 1)*6. -576*sqrt(19) - 76 Simplify (2*(sqrt(2048) - -1*sqrt(2048)))/(2*sqrt(64) + sqrt(64) + (sqrt(20)*2)/sqrt(5)). 32*sqrt(2)/7 Simplify (-2*(sqrt(588) - -2*(sqrt(588) - (sqrt(588) + sqrt(588)*4))))/(sqrt(150)*3 - (sqrt(384) - (sqrt(384)*3 - sqrt(384)))). 98*sqrt(2)/23 Simplify (sqrt(171) - (sqrt(171) + (2*sqrt(171) - sqrt(171))*-5))**2*6 + (sqrt(1425) + -1*sqrt(1425))/(sqrt(48)/sqrt(4)). 25650 Simplify (2*(sqrt(91) + (sqrt(91) - sqrt(91)*-1))*-1*-3)/(sqrt(700) + (sqrt(700) + sqrt(700)*2)*-1 + 3*(2*sqrt(700) + sqrt(700))) + -3. -3 + 9*sqrt(13)/35 Simplify (-2 + -3*sqrt(931) + (sqrt(931) - ((sqrt(931) - (sqrt(931) + sqrt(931)*-2 - sqrt(931))) + 1)))**2 - ((-5*4*sqrt(931) + 1)*2)**2. -1466320 + 1330*sqrt(19) Simplify (((sqrt(32) - sqrt(800)*-6) + sqrt(32) - sqrt(64)/(sqrt(20)/sqrt(10))) + 5)*1. 5 + 124*sqrt(2) Simplify (1*sqrt(1782)*-1 + sqrt(1782))/(2*-3*sqrt(891))*2. 0 Simplify 1*((3 + (5*(sqrt(243) - (sqrt(243) - (sqrt(243) + 0) - sqrt(243))) - ((sqrt(18) + sqrt(72)/sqrt(4) + sqrt(18))/sqrt(6) + -4*sqrt(3)*-2)))**2 + -4). 474*sqrt(3) + 18728 Simplify -2*((5 + -3 + sqrt(19))*-5 + (-1*sqrt(475) - (1*sqrt(190))/sqrt(10))**2) + 3. -1345 + 10*sqrt(19) Simplify ((1*-6*(4*(-2 + sqrt(468)) + sqrt(468)) + 5)**2 + 5)*-6. -2544084 + 114480*sqrt(13) Simplify (sqrt(56) - sqrt(3584)*-6 - 5*sqrt(448)/sqrt(8))/((sqrt(16) - sqrt(400)*-1)/(sqrt(2) + 2*sqrt(98))) + -2. -2 + 110*sqrt(7) Simplify (sqrt(78)/sqrt(108) + 2*sqrt(2600))/(-2*sqrt(162) - (sqrt(32) + sqrt(2))*-6). 121*sqrt(13)/72 Simplify (sqrt(171) + (0 + sqrt(171))*6 + -1 - ((-3 + sqrt(76)/sqrt(4) - (sqrt(1539) + 1 - sqrt(1539))) + -4)**2) + 3. -81 + 37*sqrt(19) Simplify ((sqrt(57) - (sqrt(57) - (sqrt(57) - sqrt(2052)))*2) + -3*sqrt(2052))/(((sqrt(147) + (2*sqrt(147) - sqrt(147)))*-2 + sqrt(147))*-4). -29*sqrt(19)/84 Simplify 2 + (-1 + 5 + (1*sqrt(275)*1 - (sqrt(275) + -4*(sqrt(275) + 2*sqrt(275)))) + 5 + 5)**2. 1680*sqrt(11) + 39798 Simplify -3*(sqrt(144)/(sqrt(3) + (sqrt(108) - sqrt(108)*2 - sqrt(3))) + -3)**2 + 5. -26 - 12*sqrt(3) Simplify (3*-1*3*sqrt(7)*6)**2 - (1 + ((sqrt(49)*2)/sqrt(7))**2)*-2. 20470 Simplify 4*(((sqrt(200)*-1 + -1 - (sqrt(200) - ((sqrt(200) - sqrt(200)*-1) + sqrt(200))*3 - sqrt(200)))*3)**2 + -3)*-4. -1843296 + 23040*sqrt(2) Simplify -1*(sqrt(85) + 6*sqrt(85)*1 + sqrt(85) + -6*1*sqrt(85))/(sqrt(120)/(sqrt(6) + sqrt(24)/sqrt(4)) - sqrt(20)). 2*sqrt(17) Simplify ((4 + 5*(-1*sqrt(176) + sqrt(176) + 4 - (5 + sqrt(176)*3)))*-6)**2. 4320*sqrt(11) + 1425636 Simplify 3*5*(-3*sqrt(640)*2)/((sqrt(5) + sqrt(720) + sqrt(5))*-3). 120*sqrt(2)/7 Simplify ((3 + (-5 + -5*sqrt(80))**2 - (2 + -2 + sqrt(80) - -3*(0 + sqrt(80)))**2) + -2)*-1. -746 - 200*sqrt(5) Simplify (1 + 6*3*sqrt(475))**2*3 + (sqrt(475) + (2 + sqrt(475))**2*4)*-3*-1. 795*sqrt(19) + 467451 Simplify (sqrt(980)*2)/(sqrt(8)/sqrt(2)*6) - (-5 + (sqrt(10)/sqrt(2))**2 + -6*sqrt(45)). 61*sqrt(5)/3 Simplify -3 + (-2*((sqrt(1539) - (sqrt(1539) - (1 + sqrt(1539)))) + 5)*1 - (-1 + 2*sqrt(1539) + sqrt(1539)*2 + -4))**2. 756*sqrt(19) + 55450 Simplify (-4*-6*sqrt(15)/(sqrt(30)/sqrt(10)) + (sqrt(540) + sqrt(540)*1)/(sqrt(15)/sqrt(5)*5))*2. 264*sqrt(5)/5 Simplify (1*-5*-6*(-1 + sqrt(704) + -4 - (sqrt(704) - (sqrt(704) + -1)*6))*-3 + 2)**2. -8570880*sqrt(11) + 206270464 Simplify -2 + 6*(-4 + (-2 + (sqrt(567) - 2*sqrt(567) - sqrt(567)) + sqrt(567) - (4*sqrt(567) + -1)))**2. 2700*sqrt(7) + 85198 Simplify 1 + (sqrt(95) + (sqrt(95)*-2 + sqrt(95))*3 - (sqrt(95) + 3*sqrt(95)*-3))/(sqrt(20) - sqrt(220)/(sqrt(11)*4)) + -4. -3 + 4*sqrt(19) Simplify (-3*sqrt(891)*5*5)**2 + 4*(sqrt(11) + sqrt(176)*-6)*-5. 460*sqrt(11) + 5011875 Simplify (4 + 1 + sqrt(1008) + 2 + -2)**2 + -4 + 4*3*sqrt(1008) + 2. 264*sqrt(7) + 1031 Simplify (-2*sqrt(156)*-4 + sqrt(156) + sqrt(156) + 4*(sqrt(156) - (4*sqrt(156) - sqrt(156))))/((-2*sqrt(588) + sqrt(12) - sqrt(12)) + sqrt(24)/(sqrt(2)*2)). -4*sqrt(13)/27 Simplify -3 + -3 + -5 + 1*(sqrt(405) - (1 + sqrt(405) + 4) - (sqrt(405)*-2 + 0))**2*-5*2. -16461 + 1800*sqrt(5) Simplify (sqrt(99) - (sqrt(99) + -3)) + (sqrt(66)*2)/sqrt(6) - -5*(sqrt(275) + 0 + -3)**2. -148*sqrt(11) + 1423 Simplify (-5*((sqrt(209) + -2*sqrt(209))*-5 + sqrt(209))*-5)/(sqrt(88)/(sqrt(8) + sqrt(8) + sqrt(288)) - 3*3*sqrt(11)) + -4. -1200*sqrt(19)/71 - 4 Simplify ((sqrt(190) + sqrt(190) + (6*1*sqrt(190) - sqrt(190)))/(sqrt(90)/(sqrt(45)/sqrt(5))) - (-1 + sqrt(2299) + -5 + sqrt(2299) + -3))*1. -15*sqrt(19) + 9 Simplify 6*(-6*(sqrt(1573) + sqrt(1573) + sqrt(1573)*1)*2 + 1)**2*-3. -36694962 + 14256*sqrt(13) Simplify (((sqrt(21) - (sqrt(1029)*-2 - sqrt(1029))) + -1*sqrt(525))*-3)/(5*sqrt(35)/sqrt(5) + sqrt(28)/sqrt(64)). -68*sqrt(3)/7 Simplify (3*sqrt(121)*1*-2)/(-6*(sqrt(88) - (sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88)*-1 + sqrt(88)))))/sqrt(8))*-5. 5*sqrt(11) Simplify ((2*sqrt(800))/(2*sqrt(1440)) + 2 + 0 + -1*(sqrt(180) + 1))**2. -34*sqrt(5)/3 + 1454/9 Simplify ((-2 + sqrt(13))*4)**2 - (-3 + sqrt(832)) - ((sqrt(52)/sqrt(4) + -3)**2 - (3 + 1 + sqrt(13))). -65*sqrt(13) + 257 Simplify (-5 + sqrt(1539) + 2 + 3*sqrt(1539)*3)**2 + 5 + 1 + (sqrt(1539) - (sqrt(1539) + -3*sqrt(1539) - sqrt(1539))**2)*1. -531*sqrt(19) + 140064 Simplify (-2*2*sqrt(637) + sqrt(637) + -2*sqrt(91)/(sqrt(63) - sqrt(7)) - (2 + sqrt(325) + 4 + (5 + s
{ "pile_set_name": "DM Mathematics" }
cement from lxlldgxxgdxdg. Give prob of picking 1 l and 3 x. 12/715 What is prob of picking 1 d and 1 m when two letters picked without replacement from dmzppddd? 1/7 Four letters picked without replacement from hhnddndnddddddnhdd. What is prob of picking 1 n, 1 h, and 2 d? 11/51 What is prob of picking 3 w when three letters picked without replacement from wbstwwwwtkwbtosobtkb? 1/57 Three letters picked without replacement from {m: 4, v: 2}. What is prob of picking 2 m and 1 v? 3/5 Two letters picked without replacement from mqqm. Give prob of picking 2 m. 1/6 Three letters picked without replacement from {l: 3, w: 11}. Give prob of picking 3 w. 165/364 What is prob of picking 1 t and 1 n when two letters picked without replacement from tottntnnntotnt? 5/13 Four letters picked without replacement from {d: 4, g: 3, s: 11}. Give prob of picking 1 d and 3 s. 11/51 Three letters picked without replacement from nbbnbbbnbbznn. Give prob of picking 1 n and 2 b. 105/286 Three letters picked without replacement from eeaaeaaaeaea. What is prob of picking 3 a? 7/44 Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {y: 11, s: 2}. 1/13 What is prob of picking 2 v when two letters picked without replacement from vfiivwfviiv? 6/55 Three letters picked without replacement from {f: 1, a: 7, p: 3, r: 4, k: 1}. What is prob of picking 3 r? 1/140 Three letters picked without replacement from gkuyuyyy. What is prob of picking 1 u and 2 y? 3/14 Two letters picked without replacement from wfaefbdwe. Give prob of picking 1 w and 1 d. 1/18 What is prob of picking 1 v and 1 n when two letters picked without replacement from mqmxnnnyqmymvnqqqqyv? 4/95 Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, t: 2, p: 2, a: 4, b: 7}. 1/19 Calculate prob of picking 2 c, 1 i, and 1 k when four letters picked without replacement from dcdkkidiikgkgckc. 9/364 Three letters picked without replacement from {g: 1, s: 1, f: 3, v: 1, k: 1}. What is prob of picking 2 f and 1 v? 3/35 Two letters picked without replacement from oicivivoocccioc. What is prob of picking 1 v and 1 c? 2/21 Two letters picked without replacement from piipi. What is prob of picking 1 i and 1 p? 3/5 Two letters picked without replacement from sfzfs. What is prob of picking 2 f? 1/10 Three letters picked without replacement from cdddcddcdtdcct. What is prob of picking 1 c, 1 d, and 1 t? 5/26 What is prob of picking 1 w and 1 u when two letters picked without replacement from wwuuwuwwuwwwuuwuuuuw? 10/19 What is prob of picking 2 o and 1 d when three letters picked without replacement from {u: 2, j: 3, d: 4, n: 1, o: 4, p: 3}? 3/85 What is prob of picking 1 w and 1 u when two letters picked without replacement from {w: 6, u: 2}? 3/7 What is prob of picking 1 t and 1 i when two letters picked without replacement from iiiqtqoi? 1/7 Three letters picked without replacement from {h: 6, b: 6, f: 3, t: 3}. Give prob of picking 2 f and 1 h. 3/136 Two letters picked without replacement from {d: 2, g: 1, v: 2}. Give prob of picking 1 d and 1 g. 1/5 Four letters picked without replacement from {l: 2, w: 1, a: 1, c: 2}. What is prob of picking 1 a, 1 l, and 2 c? 2/15 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fddffdyffdyd. 5/33 Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, p: 3}. 7/15 What is prob of picking 1 w, 1 b, and 2 m when four letters picked without replacement from nwmmwmnhnbm? 2/55 Two letters picked without replacement from ofsssooosf. What is prob of picking 2 f? 1/45 What is prob of picking 3 t and 1 g when four letters picked without replacement from {t: 11, g: 9}? 99/323 Three letters picked without replacement from gggggygggyggggggggg. What is prob of picking 1 g and 2 y? 1/57 Three letters picked without replacement from pllxkpxltgp. What is prob of picking 1 g, 1 x, and 1 l? 2/55 Three letters picked without replacement from {p: 13, l: 3, x: 4}. What is prob of picking 1 x, 1 l, and 1 p? 13/95 Calculate prob of picking 2 b, 1 j, and 1 t when four letters picked without replacement from {y: 10, j: 4, t: 2, b: 3}. 2/323 Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, s: 2, p: 3}. 2/9 Three letters picked without replacement from ddcudddke. What is prob of picking 1 c, 1 k, and 1 d? 5/84 Four letters picked without replacement from {n: 9, r: 8, k: 2}. What is prob of picking 1 k and 3 r? 28/969 What is prob of picking 2 r when two letters picked without replacement from ddrzrrrdzzrdrrrdrzrd? 9/38 Calculate prob of picking 1 q, 1 a, and 1 f when three letters picked without replacement from {k: 4, f: 1, g: 2, q: 1, a: 1}. 1/84 Four letters picked without replacement from oxiyooyxiooooookoooo. Give prob of picking 2 i and 2 y. 1/4845 Calculate prob of picking 1 p and 2 o when three letters picked without replacement from iqowoiowiqqwqwop. 3/280 Four letters picked without replacement from rrrrrorrroorrrr. Give prob of picking 2 r and 2 o. 66/455 What is prob of picking 1 d and 1 l when two letters picked without replacement from llldlldlvlv? 14/55 What is prob of picking 1 o and 1 j when two letters picked without replacement from {j: 2, a: 2, o: 4, n: 12}? 4/95 What is prob of picking 3 c when three letters picked without replacement from kccaaaaaccacaca? 4/91 Three letters picked without replacement from {j: 6}. What is prob of picking 3 j? 1 Two letters picked without replacement from wwwwlwwwlwjj. Give prob of picking 2 j. 1/66 Two letters picked without replacement from wfzowznnozzp. What is prob of picking 1 o and 1 p? 1/33 What is prob of picking 1 q, 1 z, and 2 p when four letters picked without replacement from {p: 6, q: 3, t: 5, z: 3}? 27/476 What is prob of picking 3 m when three letters picked without replacement from {f: 3, m: 13}? 143/280 Two letters picked without replacement from leleecueeclcuee. Give prob of picking 2 u. 1/105 What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 5, p: 15}? 15/38 What is prob of picking 2 y and 1 o when three letters picked without replacement from {o: 1, y: 3}? 3/4 What is prob of picking 1 z and 1 w when two letters picked without replacement from {z: 1, w: 1, k: 1}? 1/3 Calculate prob of picking 1 v and 1 x when two letters picked without replacement from epvljvx. 2/21 Four letters picked without replacement from wwnnnnnznnnwnnnnn. What is prob of picking 2 n and 2 w? 117/1190 What is prob of picking 1 v and 1 p when two letters picked without replacement from vpppppvp? 3/7 Calculate prob of picking 1 n, 2 u, and 1 z when four letters picked without replacement from {n: 3, z: 2, u: 8, q: 2}. 8/65 What is prob of picking 1 f and 1 a when two letters picked without replacement from {h: 2, s: 5, n: 1, f: 7, a: 3}? 7/51 What is prob of picking 1 m and 1 n when two letters picked without replacement from jdjnmnmmm? 2/9 Four letters picked without replacement from {m: 6, o: 1, g: 10}. Give prob of picking 3 m and 1 o. 1/119 Three letters picked without replacement from khthswwtwkthss. Give prob of picking 1 k, 1 h, and 1 s. 9/182 Calculate prob of picking 3 k and 1 x when four letters picked without replacement from {k: 7, x: 6}. 42/143 Three letters picked without replacement from cnmncnmn. What is prob of picking 1 c and 2 m? 1/28 What is prob of picking 3 w and 1 h when four letters picked without replacement from hhwhhhhhhhhhhwhhhw? 1/204 Two letters picked without replacement from oooooeooooeoooioo. Give prob of picking 2 e. 1/136 What is prob of picking 1 j and 1 e when two letters picked without replacement from zejjjejeezjj? 4/11 Four letters picked without replacement from llppplpppppplp. What is prob of picking 4 l? 1/1001 Four letters picked without replacement from fqqwypuqqqqqwqf. What is prob of picking 1 f, 1 w, 1 y, and 1 u? 4/1365 Two letters picked without replacement from iisssiigiisissisissi. Give prob of picking 1 i and 1 g. 1/19 Two letters picked without replacement from {i: 10, f: 6, t: 1, w: 1, r: 1}. Give prob of picking 1 i and 1 r. 10/171 Calculate prob of picking 3 c when three letters picked without replac
{ "pile_set_name": "DM Mathematics" }
n(u). Suppose 0*h + 20 = -2*h. Does 8 divide q(h)? True Let j(o) = 10*o + 30. Is j(7) a multiple of 11? False Let h(a) = -13*a + 1. Let c(g) = g. Let r(y) = 4*c(y) + h(y). Is r(-1) a multiple of 10? True Suppose 2*n - 46 = 36. Is n a multiple of 12? False Let m = -3 - -5. Suppose -p = m*p - 6. Suppose 3*q + 5*l - l = 7, -p*q - l = -13. Is q a multiple of 9? True Let r be (-99)/(-6) - (-3)/(-6). Let x be 4*(0 + 3/2). Let s = r - x. Is s a multiple of 5? True Let c be 65/55 - (-4)/(-22). Let r = 0 - c. Let b(l) = -5*l**3 - l**2 - 2*l - 1. Is b(r) even? False Suppose -3*c = -4*v - 0*v - 38, 0 = -2*c + v + 32. Is 6 a factor of c? True Suppose -154 = -h - 2*b, -6*h = -2*h - 5*b - 642. Is 33 a factor of h? False Let x(q) = -q**3 - 2*q**2 - 3. Suppose 1 = -5*v - 24. Let j be x(v). Suppose 3*u - u - j = 0. Is 13 a factor of u? False Let f = 3 - -3. Is f even? True Let s = 12 + -5. Let g = s - -1. Is 3 a factor of g? False Let r be 8/(-12) - (-596)/3. Suppose 5*x = -20, 5*v = x - 74 + r. Suppose -2*o - o = -v. Is 8 a factor of o? True Let u be (-1)/(-2) - 58/4. Let o be (u/4)/(1/4). Is 14 a factor of 1/(2 - (-27)/o)? True Let h(y) be the first derivative of 3*y**2/2 + 5*y + 11. Suppose 3*b = 4*a + 28, -3*a - a = 16. Is h(b) a multiple of 9? False Let d(p) be the third derivative of p**6/120 + p**4/24 + 4*p**3/3 + 2*p**2. Is 8 a factor of d(0)? True Suppose 0 = -3*a - 4*g + 2 - 0, -g = -3*a + 22. Suppose h + h = a. Suppose h*p - 22 - 23 = 0. Does 10 divide p? False Suppose -q + 41 = 2*f, -f - 2*f + 51 = 5*q. Is f a multiple of 22? True Suppose 255 = 5*t - 75. Is 11 a factor of t? True Let l(k) = -k**3 - 6*k**2 + 6*k - 4. Let w be l(-7). Suppose 4*m = m - 18. Let u = w - m. Is 9 a factor of u? True Let d = -21 - -15. Let p = d + 8. Suppose 4*h = -0*h - 3*t, 0 = -p*h - 2*t - 2. Does 2 divide h? False Suppose 405 = -0*m + 5*m - r, 0 = 2*r + 10. Suppose -3*g + m + 130 = 0. Is g a multiple of 12? False Suppose b + b = 5*m - 9, 3*b = -6. Is 2 + -3 - m*-19 a multiple of 16? False Suppose -8*j = 9*j - 170. Does 10 divide j? True Suppose 4*n + 7 = 19. Suppose 4*j = n*b - 0*b - 24, b - 3*j = 13. Is b a multiple of 4? True Let w(q) be the first derivative of -3*q**2 - 2*q - 4. Is w(-3) a multiple of 5? False Suppose 0 = 3*j - j + 5*o + 9, 5*j - 4*o - 27 = 0. Let u = j + -2. Is u*(-10)/(0 + -2) a multiple of 4? False Let g = 145 - 97. Let s = -3 - -8. Suppose i = -i - 3*j + 33, 4*j = s*i - g. Does 9 divide i? False Let x(r) = -3*r - 9*r - r**2 - 6 + 3*r. Let w be x(-8). Suppose -4*h = 4*d - 8 - 32, -w*h = 5*d - 62. Does 14 divide d? True Let p = 5 + 11. Let t = p - 1. Does 13 divide t? False Suppose 0 = -4*u + 42 + 118. Does 9 divide u? False Let o(q) = q + 6. Let t = 5 + 0. Is o(t) a multiple of 11? True Suppose 16 = -5*o - 9. Let a = 10 + o. Suppose -53 = -5*k + 2*q, k + 9 = a*q + 38. Is k a multiple of 6? False Let t(i) = -3*i - 3. Let l be t(-2). Suppose 4*w + 5 = -l. Is 14 a factor of 96/(5 + w) + 2? False Suppose 0 = -2*l - q + 6*q + 24, -3*q = 2*l + 8. Let a(d) = 9*d**3 + d**2 - 2*d. Let i be a(l). Does 11 divide ((-6)/(-8))/(2/i)? False Suppose 2*t + 9 = -t. Let i = t - -7. Suppose w = 6*w - 4*x - 267, i*w + 3*x - 195 = 0. Is w a multiple of 17? True Let v(f) = 2*f**2 - 2. Let t(b) = -b + 14. Let s be t(11). Does 7 divide v(s)? False Let v = 62 + -33. Suppose 0 = 5*f - v - 21. Does 10 divide f? True Let r(k) be the first derivative of -k**4/4 + k**3 - 3*k**2/2 - 4*k - 1. Let y be r(3). Let o = y - -21. Does 7 divide o? False Let d = -14 + 10. Let x be 33/7 + d/(-14). Suppose 2*t - 22 = -x*w + w, -3*t + 5*w + 88 = 0. Does 16 divide t? False Let h = -2 - -7. Suppose 4*b = 2*j - 7*j + 190, 10 = -h*j. Does 14 divide b? False Suppose 0 = 3*r - 19 - 29. Is 8 a factor of r? True Let n(d) = d**3 + 3*d**2 - 5*d - 4. Let o be n(-3). Let g(i) = 13*i + 1. Let u be g(o). Suppose -u = -5*p + 3*z, p - 20 - 20 = -5*z. Does 16 divide p? False Suppose -4*f - 31 - 9 = -5*u, 2*u - 4 = 4*f. Suppose 0 = -2*p - u + 44. Does 4 divide p? True Let d = 24 + 12. Is 5 a factor of d? False Let u be (4/(-6))/((-2)/(-3)). Let t = u - -7. Does 3 divide t? True Let r(o) = 7*o**2 - 8. Is r(3) a multiple of 11? True Let n(w) = w**3 + 7*w**2 + 6*w + 4. Let o be n(-6). Suppose o*h - 56 = 2*h. Is 14 a factor of h? True Let b(u) = u**2 - 2. Suppose 3*p + 3 + 6 = 0. Let c be b(p). Suppose -2*v = -31 + c. Is 4 a factor of v? True Let i = 7 - -9. Is 8 a factor of i? True Suppose 4*t - 81 + 1 = 0. Suppose t*k - 126 = 17*k. Does 9 divide k? False Does 15 divide (1*-5)/(2/(-10))? False Let q(v) = 55*v**2 - v + 2. Is 8 a factor of q(1)? True Let s be 10/(-14) - (-2)/(-7). Let h(g) = 9*g**2 - 1. Is 4 a factor of h(s)? True Suppose 5*i - 15 - 45 = 0. Is 101/4 + 9/i a multiple of 11? False Suppose 0 = -21*d + 19*d + 92. Is d a multiple of 46? True Let p(k) = -14*k**3 + 16*k**2 - 27*k + 20. Let d(a) = -5*a**3 + 5*a**2 - 9*a + 7. Let n(b) = 11*d(b) - 4*p(b). Let m be n(8). Does 15 divide 8*((-225)/(-12))/m? True Suppose -2*m + 5*n + 141 = 0, -n = -m + 55 + 8. Does 19 divide m? False Suppose 3*y - 402 = -5*i - y, 4*i = 2*y + 306. Is 26 a factor of i? True Let x be ((-6)/(-1) - 3) + -1. Suppose -x*d + 58 + 42 = -4*w, 2*w + 8 = 0. Is 14 a factor of d? True Let q(s) = s**3 + 21*s**2 - 2*s - 11. Is 31 a factor of q(-21)? True Let m = -84 - -150. Suppose -6*b - 3*z = -5*b - m, 4*b - 319 = -z. Is 27 a factor of b? True Let s(j) = 13 - 4*j + 10 + 3*j. Let f be s(0). Suppose -3*y = 4*p + f - 111, -p + 5*y - 1 = 0. Is p a multiple of 14? False Let r be 14/6 - 1/3. Let u(s) = s**3 - 2*s**2 + 5*s + 3. Let z(n) = n**2 - 4*n - 2. Let p(q) = 3*u(q) + 4*z(q). Does 14 divide p(r)? False Is 9/(-36) + (543/4)/3 a multiple of 9? True Let f(o) = 6*o**3 - 2*o**2 + 1. Let b be f(1). Suppose -b = -c + 2. Suppose -3*w + 104 = -2*j, -3*j = -c*j - 16. Does 16 divide w? True Let j(r) = r**2 - 5*r - 6. Let u be j(6). Suppose u = -4*b + 5 + 39. Is b even? False Let p(t) = t**2 + 7*t - 8. Let w be p(-7). Let l = w - -10. Suppose l*g = 3*q + 42, 28 = 3*g + 5*q - 54. Does 18 divide g? False Suppose 696 = 3*f + 3*d, -12 = -4*d + d. Does 38 divide f? True Let d(i) = -i**2 + 6*i - 1. Let y be d(5). Does 10 divide (93/6)/(2/y)? False Suppose -g + 6 - 2 = 0. Suppose -2*o + g + 6 = 0. Does 8 divide (8/o)/(1/5)? True Let l(u) = -3*u**2 - 4*u. Let o(k) = 2*k**2 + 4*k + 1. Let c(n) = -3*l(n) - 2*o(n). Is 21 a factor of c(3)? False Suppose 150 + 130 = 8*q. Is 7 a factor of q? True Suppose -4*o + 8*o - 8 = -2*v, 0 = 3*v + 3*o - 27. Does 3 divide v? False Suppose -3*t - 4*r + r = -48, 3*t + 2*r - 46 = 0. Is 7 a factor of t? True Let z be (3/6)/(2/(-4)). Is (-6)/(-2) - 20/z a multiple of 10? False Let a(b) = b**3 - 8*b**2 - 12*b - 19. Does 33 divide a(10)? False Let w(v) = -v**2 - 6*v - 4. Let h be w(-4). Suppose 2*s = h*k - k + 63, -s + 3*k = -39. Is s a multiple of 12? True Suppose 2*u + 12 = 2*y, -5*y = 5*u - 0*y. Is 2/u + (-34)/(-6) a multiple of 4? False Suppose 1178 = -b - 2*w - 764, -5*w + 5793 = -3*b. Is 5 a factor of 4/(-30) + b/(-120)? False Let c = -2 - 3. Let z(r) = -r**3 + 7*r**2 - 2*r. Let f be z(6). Let m = f + c. Is 8 a factor of m? False Let l(s) = -s - 3. Suppose -w = w. Let m be l(w). Is 5 a factor of (-5)/(1*(m + 2))? True Suppose -60 = 3*t - 0*t. Let s = 1 - t. Is s a multiple of 7? True Let p(t) be the third derivative of t**6/120 + 2*t**5/15 + 7*t**4/24 - t**3 + 4*t**2. Suppose -5*d + 3*d = 12. Is 12 a factor of p(d)? True Let u be 2 + 0 + -1 + -1. Suppose u = a - 5 - 0. Suppose 48 = a*s - 2*s. Does 15 divide s? False Let s = 28 - 20. Suppose -1 = -0*r + r + 4*x, 0 = -2*x. Let a = s - r. Is 9 a factor of a? True Suppose -3*p + 0*y + 133 = -2*y, -p = -2*y - 51. Let x = 22 + p. Is x a multiple of 21? True Suppose -4*s + 5*s = 29. Does 7 divide s? False Let f be (-1764)/(-35) + 2/(-5). Suppose z + 3*n = -z + 24, 4*z + 5*n = f. Is z a multiple of 7? False Let m(v) = v**3 - 12*v**2 + 14*v + 5. Suppose 0 = 3*z + 2*z - 20. Suppose -49 = -z*n - o, 5*o = 5*n - 25 - 5. Does 19 divide m(n)? True Let z(n) = -5*n + 0*n - 4 - 3*n. Let v be z(-6). Suppose -5*a + 2*b = 4*b - v, -3*a + 30 = 3*b. Does 4 divide a? True Let p = -4 + 7. Let a be -2 + p/6*0. Let r(g) = 3*g**2 + g. Does 4 divide r(a)? False Let h = -43 + -885. Suppose -9*v = -103 -
{ "pile_set_name": "DM Mathematics" }
42 AM and 11:13 AM? 631 How many minutes are there between 4:08 PM and 1:27 AM? 559 What is 573 minutes before 10:42 PM? 1:09 PM How many minutes are there between 2:18 PM and 11:27 PM? 549 What is 690 minutes after 4:34 AM? 4:04 PM How many minutes are there between 5:20 PM and 6:10 PM? 50 How many minutes are there between 2:40 AM and 6:07 AM? 207 What is 700 minutes after 3:48 PM? 3:28 AM How many minutes are there between 6:19 AM and 2:41 PM? 502 What is 414 minutes before 6:43 AM? 11:49 PM What is 185 minutes before 12:33 AM? 9:28 PM How many minutes are there between 4:30 AM and 3:35 PM? 665 What is 265 minutes before 5:46 AM? 1:21 AM How many minutes are there between 2:49 AM and 3:43 AM? 54 How many minutes are there between 4:20 PM and 4:39 PM? 19 What is 48 minutes before 4:36 AM? 3:48 AM How many minutes are there between 2:27 PM and 7:18 PM? 291 How many minutes are there between 9:12 AM and 12:18 PM? 186 What is 173 minutes after 7:02 AM? 9:55 AM What is 237 minutes after 12:09 PM? 4:06 PM What is 467 minutes after 4:56 AM? 12:43 PM What is 202 minutes after 7:04 AM? 10:26 AM What is 158 minutes after 12:51 PM? 3:29 PM What is 556 minutes after 10:16 AM? 7:32 PM What is 526 minutes before 8:28 PM? 11:42 AM How many minutes are there between 11:32 PM and 11:01 AM? 689 How many minutes are there between 10:42 PM and 2:33 AM? 231 How many minutes are there between 7:32 AM and 10:01 AM? 149 How many minutes are there between 7:37 PM and 7:20 AM? 703 What is 71 minutes before 5:28 AM? 4:17 AM How many minutes are there between 1:40 PM and 7:05 PM? 325 How many minutes are there between 10:34 AM and 7:58 PM? 564 What is 667 minutes before 1:28 PM? 2:21 AM What is 546 minutes after 1:55 AM? 11:01 AM What is 679 minutes before 6:47 AM? 7:28 PM How many minutes are there between 8:14 AM and 8:24 AM? 10 What is 399 minutes before 8:03 PM? 1:24 PM How many minutes are there between 8:25 AM and 4:36 PM? 491 How many minutes are there between 1:44 AM and 8:12 AM? 388 How many minutes are there between 8:26 AM and 3:05 PM? 399 How many minutes are there between 12:02 AM and 5:55 AM? 353 How many minutes are there between 1:22 AM and 8:58 AM? 456 What is 277 minutes after 11:24 PM? 4:01 AM What is 176 minutes before 8:07 AM? 5:11 AM What is 652 minutes after 3:29 AM? 2:21 PM What is 470 minutes after 4:20 AM? 12:10 PM How many minutes are there between 7:03 PM and 11:15 PM? 252 What is 700 minutes before 6:59 PM? 7:19 AM How many minutes are there between 1:54 PM and 12:49 AM? 655 How many minutes are there between 4:29 AM and 4:12 PM? 703 How many minutes are there between 7:33 PM and 10:50 PM? 197 What is 127 minutes after 2:20 PM? 4:27 PM How many minutes are there between 11:34 AM and 2:57 PM? 203 How many minutes are there between 9:06 PM and 11:23 PM? 137 How many minutes are there between 4:47 PM and 7:09 PM? 142 How many minutes are there between 8:03 PM and 5:19 AM? 556 How many minutes are there between 2:31 AM and 12:51 PM? 620 What is 611 minutes after 10:47 PM? 8:58 AM How many minutes are there between 7:54 PM and 12:24 AM? 270 How many minutes are there between 4:32 AM and 10:39 AM? 367 How many minutes are there between 10:25 AM and 12:12 PM? 107 What is 135 minutes before 2:24 AM? 12:09 AM How many minutes are there between 9:57 PM and 12:12 AM? 135 What is 71 minutes before 6:32 AM? 5:21 AM How many minutes are there between 7:51 PM and 7:50 AM? 719 How many minutes are there between 10:00 PM and 8:39 AM? 639 How many minutes are there between 4:59 PM and 1:01 AM? 482 How many minutes are there between 5:05 PM and 2:50 AM? 585 What is 2 minutes before 12:14 AM? 12:12 AM What is 302 minutes before 9:32 AM? 4:30 AM What is 388 minutes before 7:32 PM? 1:04 PM How many minutes are there between 11:20 PM and 9:32 AM? 612 What is 496 minutes before 10:47 PM? 2:31 PM How many minutes are there between 5:18 AM and 6:48 AM? 90 How many minutes are there between 2:14 AM and 12:06 PM? 592 How many minutes are there between 11:12 AM and 1:18 PM? 126 What is 505 minutes after 12:28 AM? 8:53 AM How many minutes are there between 12:37 PM and 6:53 PM? 376 How many minutes are there between 4:51 AM and 11:30 AM? 399 What is 710 minutes before 3:56 PM? 4:06 AM What is 14 minutes after 3:56 PM? 4:10 PM What is 158 minutes after 11:14 PM? 1:52 AM How many minutes are there between 7:21 AM and 7:09 PM? 708 What is 657 minutes before 12:50 PM? 1:53 AM How many minutes are there between 10:55 PM and 8:33 AM? 578 What is 250 minutes after 12:20 AM? 4:30 AM How many minutes are there between 12:27 PM and 12:15 AM? 708 How many minutes are there between 6:06 AM and 9:07 AM? 181 What is 418 minutes after 4:44 AM? 11:42 AM What is 388 minutes before 3:58 PM? 9:30 AM How many minutes are there between 8:07 AM and 7:29 PM? 682 How many minutes are there between 10:15 AM and 1:32 PM? 197 What is 597 minutes before 8:48 PM? 10:51 AM How many minutes are there between 12:43 PM and 7:41 PM? 418 How many minutes are there between 11:15 AM and 10:02 PM? 647 What is 408 minutes before 4:58 AM? 10:10 PM What is 707 minutes before 7:32 PM? 7:45 AM What is 158 minutes before 8:52 AM? 6:14 AM How many minutes are there between 6:49 PM and 5:13 AM? 624 How many minutes are there between 10:37 PM and 8:18 AM? 581 How many minutes are there between 12:10 AM and 3:27 AM? 197 How many minutes are there between 6:37 AM and 4:09 PM? 572 How many minutes are there between 4:36 AM and 12:00 PM? 444 How many minutes are there between 3:25 PM and 8:04 PM? 279 What is 688 minutes before 1:34 PM? 2:06 AM What is 524 minutes after 5:35 AM? 2:19 PM How many minutes are there between 3:13 AM and 5:23 AM? 130 How many minutes are there between 1:30 AM and 3:42 AM? 132 What is 583 minutes after 9:42 PM? 7:25 AM What is 535 minutes after 4:07 AM? 1:02 PM What is 33 minutes after 7:43 AM? 8:16 AM How many minutes are there between 9:26 PM and 3:51 AM? 385 How many minutes are there between 11:19 AM and 10:06 PM? 647 What is 677 minutes before 8:43 AM? 9:26 PM What is 50 minutes after 9:45 PM? 10:35 PM What is 410 minutes before 7:12 PM? 12:22 PM What is 581 minutes after 8:30 PM? 6:11 AM What is 249 minutes after 12:53 PM? 5:02 PM How many minutes are there between 2:47 AM and 10:37 AM? 470 What is 11 minutes after 12:13 PM? 12:24 PM How many minutes are there between 5:22 PM and 9:48 PM? 266 What is 662 minutes after 7:31 AM? 6:33 PM What is 595 minutes after 3:20 PM? 1:15 AM What is 246 minutes after 12:26 PM? 4:32 PM How many minutes are there between 6:22 PM and 3:50 AM? 568 How many minutes are there between 8:58 AM and 1:10 PM? 252 What is 578 minutes before 6:28 PM? 8:50 AM What is 60 minutes after 2:53 AM? 3:53 AM How many minutes are there between 8:57 PM and 3:13 AM? 376 How many minutes are there between 9:13 PM and 11:20 PM? 127 What is 714 minutes before 1:05 AM? 1:11 PM How many minutes are there between 6:03 PM and 4:14 AM? 611 What is 184 minutes after 11:09 PM? 2:13 AM What is 503 minutes before 9:59 AM? 1:36 AM What is 148 minutes after 7:41 AM? 10:09 AM What is 639 minutes after 4:24 PM? 3:03 AM What is 159 minutes after 10:25 AM? 1:04 PM How many minutes are there between 3:45 AM and 1:17 PM? 572 What is 401 minutes after 4:58 PM? 11:39 PM How many minutes are there between 8:16 AM and 2:27 PM? 371 What is 685 minutes after 10:48 AM? 10:13 PM What is 657 minutes after 6:36 PM? 5:33 AM What is 710 minutes after 12:26 AM? 12:16 PM What is 264 minutes before 6:30 PM? 2:06 PM What is 667 minutes after 12:13 AM? 11:20 AM What is 236 minutes before 2:42 AM? 10:46 PM How many minutes are there between 11:25 AM and 1:35 PM? 130 What is 466 minutes after 2:07 AM? 9:53 AM How many minutes are there between 2:37 AM and 4:28 AM? 111 How many minutes are there between 9:05 AM and 8:27 PM? 682 How many minutes are there between 12:34 AM and 2:37 AM? 123 What is 56 minutes before 1:43 AM? 12:47 AM What is 49 minutes after 7:15 AM? 8:04 AM How many minutes are there between 8:07 PM and 7:36 AM? 689 How many minutes are there between 7:29 AM and 4:21 PM? 532 What is 709 minutes before 1:11 AM? 1:22 PM How many minutes are there between 4:15 AM and 3:17 PM? 662 What is 156 minute
{ "pile_set_name": "DM Mathematics" }
) x b Let m = -68 - -68. Let c be (-2 - m)/((-6)/15). Suppose c = 8*r + 13. What is the second biggest value in 0, 4, -2/3, r? 0 Let d = -0.21568 + -0.01432. Let a be (2*-1 - 84/(-35)) + 0. What is the fourth biggest value in d, 2, -9, a? -9 Suppose 3*w = p - 5, 0*p + 5*w = -3*p - 27. What is the second biggest value in p, -0.26, -2, 0.5? -0.26 Let m = -4993/3318 - -8/1659. What is the third smallest value in -2, m, 5.28? 5.28 Let m = 3391 + -3316.35. Let y = m - 4.65. What is the second smallest value in y, -1/2, 5? 5 Let t = 1.3424 + 0.6576. Which is the smallest value? (a) 2/7 (b) t (c) 42 a Let q be 7/(-14)*((-1)/4 - (-38)/24). Which is the fourth biggest value? (a) -26/7 (b) 2 (c) q (d) 0.4 (e) -4 a Let l = 0.06 + -0.06. Let i = 1.61 - -2.39. Let w be (-7)/(-4)*16/112. Which is the second biggest value? (a) w (b) -2 (c) i (d) l a Let z = 644 + -989. Let n = -341 - z. What is the second biggest value in 2/7, 5, n? n Let f = 0.04 - 2.04. Let d = -851/12 + 285/4. Which is the third smallest value? (a) f (b) d (c) 1 c Let v = 909/1603 + 1/229. Let n = -244 - -100. Let w = -143 - n. Which is the biggest value? (a) -0.08 (b) v (c) w c Let p = 401 - 399.92. Let l = -45.08 + p. Which is the third smallest value? (a) -0.4 (b) 0.4 (c) l b Let i = -462 + 948. Let r = 419.4 - i. Let u = -67 - r. Which is the second biggest value? (a) u (b) 3 (c) -5 (d) 4/5 d Let p = 0.01 - 3.01. Let d = -0.229 + -4.7502. Let q = 0.0792 + d. Which is the biggest value? (a) q (b) p (c) -3/2 c Let w be -3 - 1 - (9 - 72/8). Let v be (-19)/665*w/2. Which is the second smallest value? (a) 6 (b) v (c) 5 c Let z = 1.8 - -5.2. Let v = 3.71 - -0.29. Let n = z - v. Which is the smallest value? (a) 0 (b) n (c) 0.06 a Let v be -4*2/16*(-1 + 68). What is the third smallest value in -2/9, v, 3? 3 Let c = 1.3926 + -1.3726. What is the third biggest value in -1, -0.3, -6, c, 2/9? -0.3 Suppose 100*i + 264 = 34*i. What is the smallest value in i, -39/8, -0.2? -39/8 Let v = 0 - -0.4. Suppose 2*h = w + h + 24, -w - 4*h - 39 = 0. Let o be (-8)/(-32)*(-3)/(w/12). Which is the second biggest value? (a) o (b) 12/5 (c) v c Let f(y) = -y**2 + y + 7. Let d be f(3). Suppose 5*s - 25 = 3*t, -s + d = -2*s. Let v = t - -6. Which is the smallest value? (a) -1 (b) v (c) 0.4 b Let f = 335.7 + -314. Let m = f - 1.7. Let w = 20.1 - m. Which is the smallest value? (a) 1/2 (b) w (c) -4 c Let g be (26 - 11 - 14)*(4 - (-29)/(-8)). Which is the fourth smallest value? (a) -0.3 (b) g (c) 4 (d) -1/4 (e) 134/3 c Let y(t) = -22*t**3 + t**2 - 3*t + 2. Let v be y(2). Let s be 1/3 - v/48. Let z = -20 - -19. What is the fourth biggest value in z, 0.5, s, -2/3? z Let w = 6.3339 + -0.3339. Let s = -6.7 + 7.1. Which is the smallest value? (a) w (b) -5 (c) s b Let w = -16.57 - -17. Let i(m) = m**2 + 58*m + 621. Let o be i(-14). Which is the third biggest value? (a) w (b) o (c) 0.5 a Let g be 45/(-210) + (-265)/70. Let u = 452/119 + -27/7. What is the fourth biggest value in u, g, 2, -4/3? g Let t = 3 - 3.2. Let w = 0.003167 - 0.053167. What is the second biggest value in -2, w, t, 0.4? w Let y = 0.044 + 0.956. Let s = 1.21 - y. What is the second biggest value in -2, s, -0.5? -0.5 Let r = -145 - -142.6. Let y = r - -5.4. Which is the smallest value? (a) y (b) 0.1 (c) -5 c Let r = 650/11 + -11039/187. Which is the third smallest value? (a) 2 (b) -3 (c) 0.1 (d) r c Let w be 0/(5 - (5 + 15)/5). Suppose g - 2*h = 1 + 1, -4*g - 22 = 2*h. Let t = 0.4 + -0.3. Which is the smallest value? (a) t (b) g (c) w (d) 1 b Let u = 62 + -64. Let h = -19 - -18.2. Let n = h - -0.6. What is the smallest value in 9, n, u? u Let t = -0.01006 + 4.01006. Let q = -2 - -9. Let n = q + -13. Which is the third smallest value? (a) t (b) 2 (c) n a Let t = 2/3 - 4/3. Let l be (-16)/40 - (2 - (0 - -2)). What is the second smallest value in 1/10, -0.06, t, l? l Suppose -4*w + 207 = 135. Let z be -2 + -1*w/(-9). Which is the third smallest value? (a) -2/7 (b) 1 (c) z (d) -0.5 c Suppose -20 = -3*d + 4*d + 2*p, 0 = 4*d - 3*p + 25. What is the third smallest value in 1/6, d, -187? 1/6 Let b = 701 + -2104/3. What is the third smallest value in 3/5, 3/31, 1, -3, b? 3/31 Suppose -5*s - 2*g = 0, -25*g = 3*s - 24*g - 1. Let o = 30 - 20. Which is the biggest value? (a) s (b) -0.3 (c) o c Let d = -9673/3 - -3224. Let r = 3.9317 + 0.0983. Let x = r - 0.03. Which is the second biggest value? (a) x (b) d (c) -3.6 b Let u = -0.2299 - 0.0701. Let d be (2/(-8))/(1/37*1). What is the second biggest value in -3, d, u? -3 Let i = -462 - -457. Suppose 2*h = -v + 3, 2*v + 2*v + 15 = h. Suppose 0 = m - h*f, -4*m = m + f. Which is the smallest value? (a) m (b) i (c) -0.4 b Let p = -1.17 - -12.27. Let z = 55.1 + -44. Let v = z - p. What is the third smallest value in -0.5, -0.3, v? v Let v = 19091/5 - 3816. Which is the fourth smallest value? (a) 4/3 (b) 6 (c) v (d) 0 b Let w be ((-150)/525)/((-3)/(-21)). Let l = -0.37 + 0.67. Which is the fourth biggest value? (a) 8/5 (b) l (c) 4 (d) w d Let r = -925 + 923. Let p be (r - -1)*(-3)/(-27). Which is the third smallest value? (a) -4 (b) p (c) -1/7 (d) 1/2 b Let p = -352.4 - 1.6. Let l = 355.5 + p. Which is the second biggest value? (a) -5 (b) -2/17 (c) l b Let f = 4805 + -4805.5. What is the smallest value in 11, f, -16? -16 Let m = -6.88 + 7. Let o = -0.7555 - -0.9555. Let d = -2.02 + 0.02. Which is the biggest value? (a) o (b) m (c) d a Let o = -5.892 - -5.892. Which is the smallest value? (a) -3 (b) 0.3 (c) o (d) -14/31 a Suppose -233 = 4*b - 313. Let x be 2/6 + b/(-30). What is the biggest value in 1, x, 0.055? 1 Let k = -4/43 + 99/602. Let i = -2928 - -17567/6. Which is the second biggest value? (a) -3 (b) -1/7 (c) i (d) k b Let w = 0.09364 - 9.09364. What is the second smallest value in w, 1/8, -4/23? -4/23 Let k = -361 - -360.6. What is the second smallest value in k, -0.2, 3, -1.5, 1/2? k Let h be -896 + -3 + 1 + 2. Let j = -5377/6 - h. What is the second biggest value in 6, -4, 5, j? 5 Let g(t) = -t**2 - 11*t - 16. Let f be g(-3). Which is the third smallest value? (a) f (b) -1 (c) 0.9 a Let x(a) = 4*a - 69. Let l(p) = -p + 23. Let o(r) = 8*l(r) + 3*x(r). Let b be o(6). Let c be 6/(-15)*b/(7/10). What is the third smallest value in -0.2, 4, c? 4 Let q = -3.07 + 0.07. Let l = -3.5 - q. Let x(s) = -1579*s + 48947. Let y be x(31). Which is the biggest value? (a) l (b) y (c) -1 a Let f be ((-126)/(-30) + 7)/(-2) - -6. Let r = -108 + 107. Which is the third smallest value? (a) -2/5 (b) -0.3 (c) r (d) f b Let f = -24422 + 24398. What is the second biggest value in -2/523, 2/3, f? -2/523 Let w = -20/41 - -37/328. Let m = 3/164 + -191/1476. Which is the smallest value? (a) w (b) m (c) 5 a Let n = 6/37 + 56/111. Let b be (-190)/(-57)*(0 + 15). Let j be b/75 + (-8)/6. What is the fourth smallest value in j, 4/3, -5, n? 4/3 Let f = 25041 + -175292/7. What is the second biggest value in -8, -3, -16, f, 2? f Suppose 3*y - 53*z + 54*z + 1 = 0, -3*y + 5*z = -5. What is the biggest value in y, 2, 6/5? 2 Let k = -11785 + 11785.5593. Let y = k + -0.0593. Which is the fourth biggest value? (a) 1/3 (b) -1 (c) y (d) -2/101 b Let p = 0.189 - 0.749. Let l = 0.86 + p. Let q = 4.92 - -0.08. What is the smallest value in q, 3, -1/6, l? -1/6 Let z = -1666.8 + 1547. What is the biggest value in -5, 1, z? 1 Let k = -2351/3 - -783. Let o be 12*(-2 + 40/12). Suppose 0 = -3*w - w + o. Which is the biggest value? (a) w (b) -5 (c) k (d) 2/9 a Let f be (-2)/12 - (654/(-36) + -8). Let y(d) = -d**2 + 19*d + 183. Let a be y(f). What is the third smallest value in -4, a, -2/9, 0.5? 0.5 Let d = 186 + -181. Let j = -3 - -3.14. Let k = 1.86 + j. What is the fourth smallest value in k, 0.3, d, 0.2? d Let y be 1*(5 + 1 + (-232)/38). Which is the third biggest value? (a) 0.028 (b) -0.5 (c) 3/2 (d) y d Let j = -2.96 + 3.13. What is the third biggest value in 5, j, -4.5? -4.5 Let i be (-1105)/255*(-2 + -7)*1. Let w be i + -32 - 8/1. Which is the fourth smallest value? (a) 0.2 (b) -3 (c) 2/41 (d) w a Let d = -31572/5 - -6314. What is the second biggest value in -1.54, d, 0.3, 1? 0.3 Let f = 247 + -256.9. Let o = f - -23.3. Let u = -
{ "pile_set_name": "DM Mathematics" }
587 Sort 10, 21, 103, 20, 4 in descending order. 103, 21, 20, 10, 4 Put 8, 3, 8901, 4, 0 in ascending order. 0, 3, 4, 8, 8901 Sort 7, -1, 2, -95, 19. -95, -1, 2, 7, 19 Put -1080/1783, 5, 0 in descending order. 5, 0, -1080/1783 Put 2, -2579278.2, -4 in decreasing order. 2, -4, -2579278.2 Sort -1.46137, -2/27, -52 in decreasing order. -2/27, -1.46137, -52 Put -238, 0.4, 31, 8/13, -1/3, 1/5 in descending order. 31, 8/13, 0.4, 1/5, -1/3, -238 Sort 5/2, -62, 0.4, -1/2, 2, -0.02 in decreasing order. 5/2, 2, 0.4, -0.02, -1/2, -62 Sort -2, 16977, -3, -72. -72, -3, -2, 16977 Put 0, 4, -2, -13070, 32 in increasing order. -13070, -2, 0, 4, 32 Sort -3, -8, 10, 5, 1, 3, 126 in descending order. 126, 10, 5, 3, 1, -3, -8 Put 0, -2572, -1, -4, -3, 6 in descending order. 6, 0, -1, -3, -4, -2572 Sort 8, 20, -141, 0 in ascending order. -141, 0, 8, 20 Sort -0.0379, 2, 5720. -0.0379, 2, 5720 Put -14, 3, 2, 237, -5, 0, 5 in increasing order. -14, -5, 0, 2, 3, 5, 237 Sort 70872, -0.06, 39/2, 2 in descending order. 70872, 39/2, 2, -0.06 Put 0.1, -3/8, 746467, 0.3 in decreasing order. 746467, 0.3, 0.1, -3/8 Sort 5, -12, 14/13, 14 in decreasing order. 14, 5, 14/13, -12 Put -2, -9/31472, -3/5, -3 in ascending order. -3, -2, -3/5, -9/31472 Sort -5, 54, 176, 4, 75. -5, 4, 54, 75, 176 Sort -4, 4, -4/5, -2/73, -11, 916.4 in ascending order. -11, -4, -4/5, -2/73, 4, 916.4 Put 180, 1505, -3, -1, 15 in ascending order. -3, -1, 15, 180, 1505 Sort 20421, 123.6, 1, -2 in decreasing order. 20421, 123.6, 1, -2 Put 0.07, -128, 25421, 2/3 in ascending order. -128, 0.07, 2/3, 25421 Sort 2, -0.3, -62, 3, 4, 5, -16. -62, -16, -0.3, 2, 3, 4, 5 Sort -568, 8, -209, 5. -568, -209, 5, 8 Put -5, -52, 28, 3, -340 in ascending order. -340, -52, -5, 3, 28 Sort -0.2, -3, -2319, -0.028, -1/4 in increasing order. -2319, -3, -1/4, -0.2, -0.028 Sort 0, 6, -3, -6, 14703. -6, -3, 0, 6, 14703 Sort -101, 4, 55, 705 in decreasing order. 705, 55, 4, -101 Put 150, -37, 17, 3/7 in descending order. 150, 17, 3/7, -37 Put -4, 3, 543, -362 in decreasing order. 543, 3, -4, -362 Sort 1, -100, -3, 3068 in increasing order. -100, -3, 1, 3068 Put 2, -182, -7, 18, -5, 40 in decreasing order. 40, 18, 2, -5, -7, -182 Put -28, -1, 3, -14, 2, -58, -3 in descending order. 3, 2, -1, -3, -14, -28, -58 Sort -10, 25, -11, -20, -5, -38, 1 in ascending order. -38, -20, -11, -10, -5, 1, 25 Sort 10, 5, 138291, -1, 3, 4, -3. -3, -1, 3, 4, 5, 10, 138291 Sort -2, 3, -3443335, 1 in descending order. 3, 1, -2, -3443335 Put -3975, -3, -10, -1, 5, 0, 1 in descending order. 5, 1, 0, -1, -3, -10, -3975 Sort 1775313, -2, -36. -36, -2, 1775313 Put 4, -5, -73798824, 1 in increasing order. -73798824, -5, 1, 4 Sort -15041, -3, -4, -102 in decreasing order. -3, -4, -102, -15041 Sort -4, 3, -2/39, 2, -37.3 in increasing order. -37.3, -4, -2/39, 2, 3 Put 3, 5, 290, 2, 0, -55 in ascending order. -55, 0, 2, 3, 5, 290 Sort 2, 77991, 1/54 in ascending order. 1/54, 2, 77991 Sort -13/2, 2.626143, 3. -13/2, 2.626143, 3 Sort 324, 2466, -2 in increasing order. -2, 324, 2466 Sort 1, 29, -2, 23349 in increasing order. -2, 1, 29, 23349 Put -3, -0.3, 14.2, -114, -5, -32 in increasing order. -114, -32, -5, -3, -0.3, 14.2 Sort -7.2, 0.1, 15, -0.657 in decreasing order. 15, 0.1, -0.657, -7.2 Put -4, 1, -8, -2, -28614 in descending order. 1, -2, -4, -8, -28614 Sort 3, 1, 20, -2, 0, 14174 in ascending order. -2, 0, 1, 3, 20, 14174 Put -0.4, 6/5, 2.88, -347 in decreasing order. 2.88, 6/5, -0.4, -347 Sort -128, 1, -22, 372, 6 in decreasing order. 372, 6, 1, -22, -128 Put 25, 9, -6, 0, -4, 3 in decreasing order. 25, 9, 3, 0, -4, -6 Sort -0.5, -3/4, 624.72, -2/13, 3 in ascending order. -3/4, -0.5, -2/13, 3, 624.72 Put -4, 223641/5, 0.5 in ascending order. -4, 0.5, 223641/5 Sort 4, 168, 983, -15, -4, -2 in decreasing order. 983, 168, 4, -2, -4, -15 Sort -6/793, -6/109, 4, 10/7 in ascending order. -6/109, -6/793, 10/7, 4 Sort 7, -5, -3.612, -7/27. -5, -3.612, -7/27, 7 Put 88, -5, -57175, 0, 3 in increasing order. -57175, -5, 0, 3, 88 Sort 16228, -46, 0, -8. -46, -8, 0, 16228 Sort -2.98, 178, -583 in ascending order. -583, -2.98, 178 Sort 1/3, -1840/53, -13, 0.14. -1840/53, -13, 0.14, 1/3 Sort 1, -35, -62, -1, 10, 2 in decreasing order. 10, 2, 1, -1, -35, -62 Sort 3, 16, 26, -41, -11. -41, -11, 3, 16, 26 Put -0.43, -0.1, -1/22, 2/53, -2/3 in increasing order. -2/3, -0.43, -0.1, -1/22, 2/53 Sort 1/3, 2862686, -8/5 in ascending order. -8/5, 1/3, 2862686 Sort 4, -62, 6, -129, -3, -51, -1 in descending order. 6, 4, -1, -3, -51, -62, -129 Sort 6, 8750, 69. 6, 69, 8750 Sort -2, -7, -3, 60092, -4, -27. -27, -7, -4, -3, -2, 60092 Put -2/17, -1273, -0.4, -16, 2, 10 in descending order. 10, 2, -2/17, -0.4, -16, -1273 Put -106293, 1, 6, -5, 4, 0 in ascending order. -106293, -5, 0, 1, 4, 6 Put -9, -2, -291, 5, -5, -16 in decreasing order. 5, -2, -5, -9, -16, -291 Put -1, -1/5, 2, -17470824 in ascending order. -17470824, -1, -1/5, 2 Put 2558.726, 0.5, 5/77 in increasing order. 5/77, 0.5, 2558.726 Sort -2169, -24/7, -3, 1.8 in decreasing order. 1.8, -3, -24/7, -2169 Sort -15, -47, 53, -3, 3, 0, -5 in decreasing order. 53, 3, 0, -3, -5, -15, -47 Put 81, -1028, 7 in descending order. 81, 7, -1028 Sort 15, 6581, -5, -6, 2 in descending order. 6581, 15, 2, -5, -6 Sort 3/20, 16/9, -0.684. -0.684, 3/20, 16/9 Sort 2, 6657, -167. -167, 2, 6657 Put -5, 1589534, -4 in ascending order. -5, -4, 1589534 Sort -53, -0.2, -367, -11, -86 in ascending order. -367, -86, -53, -11, -0.2 Put -4, 1/7, 3842, -60/19, -0.3 in decreasing order. 3842, 1/7, -0.3, -60/19, -4 Sort 4, 2, 10975, 6, 44. 2, 4, 6, 44, 10975 Sort -0.07, 30/17, 0, 4, 0.26, -4 in decreasing order. 4, 30/17, 0.26, 0, -0.07, -4 Sort -2, 352400, 75 in ascending order. -2, 75, 352400 Sort 9, -12, -79455 in descending order. 9, -12, -79455 Sort 5, -43674964, -1 in descending order. 5, -1, -43674964 Sort 350, 3, 4, -11.5, 11 in decreasing order. 350, 11, 4, 3, -11.5 Sort 1, -0.19536, 0.1, 2/11, 0.5 in ascending order. -0.19536, 0.1, 2/11, 0.5, 1 Put 1, 2/9, -1/2, -1/4, -520, -3 in increasing order. -520, -3, -1/2, -1/4, 2/9, 1 Sort -1, 12, 19, -40, -17 in descending order. 19, 12, -1, -17, -40 Sort -1/2, 20, 448, 0.5, -4, -148 in increasing order. -148, -4, -1/2, 0.5, 20, 448 Sort 4, 1201, -92, 57, 5 in ascending order. -92, 4, 5, 57, 1201 Sort -199501, 3, 104 in ascending order. -199501, 3, 104 Put 9, -3, -5049, -386 in increasing order. -5049, -386, -3, 9 Sort -18, 51, 63 in ascending order. -18, 51, 63 Put 132007, -5, -80 in increasing order. -80, -5, 132007 Put -1, -295, 5, -25, -36, -3 in ascending order. -295, -36, -25, -3, -1, 5 Put -16066, 63, -22 in ascending order. -16066, -22, 63 Put 3/2, 12695, -4/7, 24, 0.3, -5 in descending order. 12695, 24, 3/2, 0.3, -4/7, -5 Put 2, 3, -4, -2, 6201533, -3 in decreasing order. 6201533, 3, 2, -2, -3, -4 Sort 1.89, -3/5, -5615 in descending order. 1.89, -3/5, -5615 Put -10041, -347, 0 in descending order. 0, -347, -10041 Sort 2, -613, -2, 4, -5, 5, 0. -613, -5, -2, 0, 2, 4, 5 Sort 5, 19, -3, 0, -219168, 4 in descending order. 19, 5, 4, 0, -3, -219168 Sort -6/475, -2116, 0.063 in increasing order. -2116, -6/475, 0.063 Sort -2, -11870372, 5 in increasing order. -11870372, -2, 5 Put 6/11, -73/5, 3, 15/7 in decreasing order. 3, 15/7, 6/11, -73/5 Sort -2/17, -0.55, -5.3897, -0.5. -5.3897, -0.55, -0.5, -2/17 Sort 317, -0.1, 6, -1, 476. -1, -0.1, 6, 317, 476 Sort 3, 176060, -28, 10. -28, 3, 10, 176060 Sort -6, 3, -1, -3, 1551 in decreasing order. 1551, 3, -1, -3, -6 Put -5, 5, 2, 22, -133859, -2 in ascending order. -133859, -5, -2, 2, 5, 22 Sort 10/3, 2, -0.02, 983, 1/3. -0.02, 1/3, 2, 10/3, 983 Sort 1, 2, 441, -2, 423 in increasing order. -2, 1, 2, 423, 441 Sort -134.7, 0.129, 0, 24, 5, 2/9 in ascending order. -134.7, 0, 0.129, 2/9, 5, 24 Sort -4, -16, 33, -8795, -3, 3 in descending order. 33, 3, -3, -4, -16, -8795 Put 5, -2/5, -2, 21, -9, 0, -47.6 in increasing order. -47.6, -9, -2, -2/5, 0, 5, 21 Put -3, 7, -17, 1, -4, 120, -2 in decreasing order. 120, 7, 1, -2, -3, -4, -17 Sort -0.0806, -1/104, 0 in decreasing order. 0, -1/104, -0.0806 Sort 2, -29/4, -4, 765, 0.16, -0.1. -29/4, -4, -0.1, 0.16, 2, 765 Sort 8, 0, -2, -1.5, -2/11, 6370 in decreasing order. 6370, 8, 0, -2/11, -1.5, -2 Sort -59/3, -0.2,
{ "pile_set_name": "DM Mathematics" }
(6). 3 Let v = 4 - 8. Let f = -1 + v. Let o(n) be the first derivative of n**3/3 + 2*n**2 - 2*n + 1. Give o(f). 3 Suppose -4*z - 3*s = -6*s - 17, -z = -s - 5. Let y = 3 + z. Suppose 0 = y*v - 2*v. Let k(l) = -l - 12. Determine k(v). -12 Let g(q) = q**2 + 7*q + 17. Let x be g(-4). Let z(i) = -i - 2. Give z(x). -7 Let l = 8 + 8. Suppose 0*b - l = -4*b. Let y be b/(-6) - (-2)/3. Let j(x) = x**3 + x**2 - x - 6. Give j(y). -6 Let p(h) = 4*h + 1 + 0 - 10*h. Let j be p(-1). Let d(m) = -m**2 + 7*m + 3. Determine d(j). 3 Let w(z) = z + 10. Let n be w(-8). Let a(u) be the first derivative of 0*u + 1 + 1/2*u**n. Determine a(-3). -3 Let r(l) = -4*l**2 + 4*l**2 - 2 + 2*l**2. Suppose -7*y = -5*y. Suppose y*x - 2*x = 4. Determine r(x). 6 Let s(f) be the second derivative of 0 + 5/2*f**2 - 6*f - 1/2*f**4 + 1/20*f**5 + 1/2*f**3. Calculate s(5). -5 Let b(v) = -v**2 + 8*v**3 - 4 + 3 - 2*v + 0*v. Determine b(-1). -8 Let q(p) be the second derivative of -p**5/20 - p**4/3 + 2*p**2 - 3*p. What is q(-3)? -5 Let w = 12 + -9. Suppose -3*s = -5*g - 23, w*s = -0*s + 4*g + 19. Let h(q) = s + 4*q**2 - 1 - 1. Determine h(-1). 3 Let f(d) be the third derivative of d**5/60 + d**4/12 + d**3/6 + d**2. Suppose 16*y - y = -45. What is f(y)? 4 Let k be 5/(-5) + (-2 - -1). Let v(j) = -2*j - 3. Let f be v(k). Let l(y) = y**2 - y**2 + 4*y - f - y**2. Give l(3). 2 Let d(o) be the first derivative of -o**6/120 + o**5/60 + o**3/2 + o**2/2 + 3. Let v(a) be the second derivative of d(a). What is v(0)? 3 Let j(h) = h**2 - h + 1. Let o(s) = -3*s - 1. Let c(d) = j(d) + o(d). Give c(4). 0 Let c(w) = w + 1. Let l(m) = -m**2 + 2*m - 3. Let d(a) = -2*c(a) - l(a). Let r = 53 + -50. Determine d(r). -2 Let p(x) be the third derivative of x**6/120 + x**5/12 + x**4/6 + x**3/6 - 5*x**2. Let r be -5 + (-1 - (-2 - 0)). Give p(r). 1 Let g(p) = p - p + 2 - 3*p + p**2 + 0*p. Suppose 3*x - x + 5 = -y, 4*y = -5*x - 8. Give g(y). 2 Let d(w) = w**2 - w. Let o(f) = -1 + 3 + 3*f**2 - f**3 + 2*f**2 + 2*f. Let u(j) = d(j) + o(j). Suppose 4*k - 15 = -k - 5*c, 3*k + c - 15 = 0. Calculate u(k). 8 Let l(y) be the second derivative of y**6/360 + 3*y**5/40 + 3*y**4/8 - y**3 + 6*y. Let c(u) be the second derivative of l(u). Calculate c(-6). -9 Let t(x) = -x - 5. Suppose k + 0*o + 9 = 3*o, -11 = k - 4*o. Give t(k). -2 Let h(d) = -3*d + 9. Let b(m) = -2*m + 8. Let o(c) = 4*b(c) - 3*h(c). Let i = 1 + 3. What is o(i)? 9 Suppose 3*o + 0*o = 0. Suppose -4*f + 5 - 1 = 0. Let v(r) = 4 + f - 3 + r. Calculate v(o). 2 Let q be 806/195 - 4/30. Suppose -11 = 5*f + 4*x, f - 2*f - 15 = q*x. Let c(t) = -2*t**3 + 6*t**3 - 2*t**2 + 3*t**3 + 1. Calculate c(f). 6 Suppose x = 4*x + 18. Let a(t) = -3*t + 2. Determine a(x). 20 Let y(d) = -7*d**3 + 8*d**2 + d + 8. Let g(x) = 10*x**3 - 12*x**2 - x - 12. Let c(t) = 5*g(t) + 7*y(t). Give c(3). -7 Let l(s) = s + 11. Let n = 3 + 8. Let z(i) = i**3 - 12*i**2 + 11*i - 5. Let a be z(n). Give l(a). 6 Let o(i) = i**3 + 6*i**2 + 6*i + 5. Let z be o(-5). Suppose -w - 7 = -2*w - g, -2*g + 23 = 5*w. Let u(j) = 6 - 2 - j - w. Calculate u(z). 1 Let o be ((-2)/3)/((-13)/(-117)). Let x(h) = h**2 + 10*h + 8. Calculate x(o). -16 Suppose 0 = 3*g + 2*i, -i = 5*g + i - 4. Suppose -5 = g*w - 13. Suppose 2*k - w*q - 10 - 4 = 0, 0 = 2*k - 3*q - 13. Let o(c) = -c**2 + 6*c + 1. What is o(k)? 6 Let x = -5 + -1. Suppose 0 = -4*g + o + 29, -2*o - o = -5*g + 45. Let b(k) = 7*k + 0*k - 6 - 2*k - g*k. Give b(x). 0 Suppose 0 = 5*r + 6*s - 2*s - 11, -3*r - 5*s + 17 = 0. Let g be (-28)/35*5/(-2). Let p(m) = 10 - 3*m**g + m - 10. Give p(r). -4 Let o(v) = -3*v**2 - 2*v - 57*v**3 + 29*v**3 + 27*v**3. Give o(-2). 0 Let j(l) = -l**2 + 10*l. Let i(u) = -u - 1. Let y(z) = -3*i(z) - j(z). Calculate y(6). -3 Let d be ((-4)/2)/((-1)/2). Let f(n) be the second derivative of n**4/12 - n**3/6 - 2*n**2 + n. Determine f(d). 8 Let r(j) = 7*j**3 - j**2 - j. Let f(u) = u**2 + 3*u - 4. Let w be f(-4). Let n(v) = -v**2 - 10*v - 10. Let y be n(-9). Let x = y + w. Determine r(x). -7 Let d(m) be the third derivative of m**6/120 + 3*m**5/20 - m**4/12 - 5*m**3/3 - 36*m**2. Calculate d(-9). 8 Let j(n) = 2*n - 2. Let o(v) = -v + 1. Let b(x) = 2*j(x) + 3*o(x). Let l be 12/(-10)*25/10. Let s(w) = -w**3 - 4*w**2 - 2*w + 2. Let f be s(l). What is b(f)? -2 Suppose 11*j = -2*j. Let t(k) = -3*k**2 - 10*k + 18. Let g(z) = 2*z**2 + 7*z - 12. Let i(h) = 7*g(h) + 5*t(h). Calculate i(j). 6 Let y(x) = -x**3 + 6*x**2 - 3*x - 10. Let r be y(5). Let d(z) = -z + 1. What is d(r)? 1 Let r(f) be the second derivative of 0 - 5/2*f**2 + f - 2/3*f**3. Let v(q) = 3*q + 4. Let y(h) = 5*r(h) + 6*v(h). Determine y(4). -9 Let o(b) be the first derivative of -b**6/360 + b**5/60 + 7*b**4/24 + b**3 + 3. Let q(d) be the third derivative of o(d). What is q(5)? -8 Let x be ((-15)/12 - (-2)/(-8))*2. Let n(j) = -j**2 - 4*j + 1. Calculate n(x). 4 Let m(y) = 2*y - 1 + y**3 - 2*y**3 - 5*y**2 + 6. Let t(v) = -5*v**3 - 20*v**2 + 9*v + 19. Let l(j) = 9*m(j) - 2*t(j). Give l(5). 7 Let k(l) be the second derivative of -l**4/12 - 5*l**3/3 - 7*l**2/2 - 2*l. Let c be k(-8). Let i be 8/6*c/(-6). Let t(v) = -v - 1. Calculate t(i). 1 Let p be 8 - 2*2/(-2). Let i be -1 + (-5)/(p/(-12)). Suppose -3*m = -2*b + 10 + 5, m - b + i = 0. Let k(x) = x**3 + 5*x**2 + x + 6. Determine k(m). 1 Let k be ((1 - -1)/(-1))/(-1). Let n(q) = -2*q + 7. Let u(h) = -h + 3. Let d(i) = 3*n(i) - 7*u(i). Calculate d(k). 2 Let b(q) = -11*q + 1. Suppose d - 4*r = 1, -4*r + 2 = -5*d + 7. Determine b(d). -10 Let k(m) be the second derivative of -m**6/360 - m**5/120 + m**4/12 + m**3/3 - 2*m. Let w(q) be the second derivative of k(q). What is w(-3)? -4 Suppose -4*c = -2*h + 4, 3*h - 2*c = -3*c - 22. Let i(o) = -2 + 0 - o + 31*o**2 + o**3 - 25*o**2. Calculate i(h). 4 Let x(l) = 2*l**3 - 2*l**2 - l. Let b be 1/(4*-1 + 3). What is x(b)? -3 Let h(x) = x**2 - 2*x - 1. Let k(u) = -3*u - 14. Let w be k(-6). Determine h(w). 7 Let b(m) = m**2 + 4*m - 2*m**3 + 0*m**3 + m**3. Let j = -1 - -5. Let w = 7 - j. What is b(w)? -6 Let k = 8 - 8. Let c(x) = -x. Calculate c(k). 0 Let o(h) = -h**3 + h**2 + h. Let q be ((-2)/4)/((-1)/4). Let f(c) = -c**3 - 2*c - 2. Let d(v) = q*o(v) - f(v). Give d(-2). 10 Let p(m) = 4*m. Let u(r) = -r + 2. Let y be u(6). Determine p(y). -16 Let d be 0 - 2 - -1 - -4. Suppose -d*l - 4 = -4*l. Let k(i) be the third derivative of i**6/120 - i**5/15 + i**3/6 - 15*i**2 - 2*i. Give k(l). 1 Let k(i) = -i - 16. Let l be k(-10). Let f be (-120)/(-100)*(-20)/l. Let a(w) = w**3 - 3*w**2 - 2*w + 6. What is a(f)? 14 Let q = 35 - 44. Let a(r) = r + 8. Determine a(q). -1 Let q(r) = -r**2 + 6*r - 4. Let i(p) = p**2 + p. Let d = 21 + -24. Let u be i(d). Determine q(u). -4 Let g(w) = 2*w - 11. Let x(q) = 3*q**2 - 2*q. Let n be x(2). What is g(n)? 5 Suppose 0*b - 8 = t + 2*b, -12 = 3*t + 3*b. Suppose 4*x = -0*x + 16. Let p(m) = -4 + 0 + x*m - 5*m + 1. Determine p(t). -3 Let o(v) be the second derivative of 0 - v**2 - 1/6*v**3 - 2*v - 1/10*v**5 + 0*v**4. Let b(i) be the first derivative of o(i). Calculate b(-1). -7 Let w(l) be the third derivative of l**7/840 + l**6/120 + l**5/60 + l**4/6 + l**3/3 - 3*l**2. Let b(h) be the first derivative of w(h). Determine b(-3). -2 Suppose 0 = -3*g + 2*j + 5, -3*g - j = g - 3. Let k be (6/(-1))/((-2)/g). Let r(i) = k*i**3 + i**3 - 4*i**3 + i**3. Give r(1). 1 Let l(m) be the third derivative of -5*m**2 - 1/24*m**4 + 1/6*m**3 - 1/20*m**5 + 0 + 0*m. Let d(x) = -x**2 - 5*x - 2. Let o be d(-4). What is l(o)? -13 Let g(z) be the first derivative of -5*z**3/6 + z**2/2 + 2*z - 1. Let b(y) be the first derivative of g(y). What is b(1)? -4 Suppose 0 = 2*s - 14 + 4. Let c(x) be the third derivative of 5/24*x**4 - 1/6*x**3 - 2*x**2 - 1/120*x**6 + 1/15*x**5 + 0 + 0*x. Determine c(s). -1 Let r(i) = -3*i**2 - 2*i - 5. Let f(g) = 7*g**2 + 3*g + 11. Let y(u) = 4*f(u) + 9*r(u). Give y(5). -6 Let l(c) be the third derivative of c**5/20 + c**4/12 - c**3/3 + c**2. Let f = -3 - -8. Suppose -f*m + 3*k - 1 = 3, -3*k - 16 = 5*m. Give l(m). 6 Let w(k) = 11*k - 1. Let o(p) = -2*p**3 - 5*p**2 + 2*p**3 + 4 + p + 2 - p**3. Let c be o(-5). Give w(c). 10 Suppose v - 2 = -a - 1, -12 = -2*v - 4*a. Let s(g) = g - 1. Let l(r) = 2*r. Let n(w) = l(w) - 3*s(w). Give n(v). 7 Let y(t) = t**3 + 10*t**2 + 8*t - 4. Let z be y(-9). Let s(m) = -m**3 +
{ "pile_set_name": "DM Mathematics" }
4*o, -3*o = 5 - 2. What is c(r)? 0 Let k = -840 + 846. Suppose -k*p - 21 + 27 = 0. Let q(x) = -20*x**2 - x + 1. Calculate q(p). -20 Let k be -2 + 406/21 + -16 - 68/6. Let p(l) = -3*l + 11. Let y(o) = o - 6. Let u(b) = -2*p(b) - 5*y(b). What is u(k)? -2 Let u(r) = -r**3 - 4 - 2*r + 7*r**2 + 2 - 2 - 4*r. Suppose 2*z = -4*i - 24, -2*i + 6*i = 2*z - 8. Let q be 69/12 + (-1)/z. Determine u(q). -4 Let w(n) be the third derivative of -1/2*n**3 + 0*n**4 + 12*n**2 + 0*n + 1/20*n**5 - 1/120*n**6 + 0. Determine w(4). -19 Let m(z) = z - 2. Suppose -4*o + 3*s - 32 = 0, 0 = -2*o + 2*s + s - 16. What is m(o)? -10 Suppose 12*d = n + 9*d - 11, -7 = -3*n - 4*d. Let w(z) = -z**2 + 8*z - 6. Calculate w(n). 9 Let k(a) be the second derivative of a**5/20 - 3*a**4/4 - a**3 + 4*a**2 + 686*a. What is k(10)? 48 Suppose 3*y - 3*m - 3 = 0, -5*y - m + 2 = -7*y. Let x(i) = -3*i**2 - 6*i - 8. Determine x(y). -17 Let n(t) be the first derivative of -t**3/3 + 13*t**2/2 - 9*t + 29. Let a be n(12). Suppose 7 = a*f + 19. Let b(j) = j**2 + 2*j + 5. Calculate b(f). 13 Let h(z) = -z**2 - 6*z + 4. Let w be (-92)/5 - ((-456)/(-60) - 8). Let s be 122/w + 5/(225/(-10)). Give h(s). -3 Let i(y) be the third derivative of y**6/120 + y**5/30 - 25*y**4/12 - 5*y**3/6 + 61*y**2. What is i(-8)? 11 Let i(l) = l + 29. Let q be i(-26). Let s(r) be the first derivative of -r**4/4 + r**3 + r**2/2 - 4*r + 316. Determine s(q). -1 Let b(g) = 43*g**3 - 2*g**2 - 3. Let z(v) be the first derivative of 11*v**4/2 - v**3/3 - 2*v - 4274. Let s = -11 + 6. Let x(w) = s*z(w) + 3*b(w). What is x(1)? 19 Let u(l) be the second derivative of l**7/840 - l**6/90 + l**5/60 - l**4/24 - 85*l**3/2 + 39*l. Let i(n) be the second derivative of u(n). Give i(3). -4 Let p(u) = 15*u - 1. Suppose 3 = 5*k + 4*f, 10*f = k + 5*f - 18. Let l(h) = -13*h + 3. Let j(y) = k*l(y) + 2*p(y). Give j(5). -38 Let q(o) = o**3 - 14*o**2 + 21*o + 30. Let z be q(12). Let c(s) = -s**2 - 7*s - 2. Calculate c(z). 4 Suppose -29*s + 19*s = 0. Let o(m) = m**2 + m - 116. Determine o(s). -116 Suppose 0 = 164*v - 261*v. Let w(h) be the third derivative of -13*h**2 + v*h**4 + 1/60*h**5 + 0*h + 0 + 4/3*h**3. What is w(0)? 8 Let c = 3599 - 3602. Let s(v) = -2*v**2 - 1. Calculate s(c). -19 Let k(p) = -7*p + 3. Suppose 2*s - 7*b - 514 = -3*b, 0 = -4*b + 8. Let o = -259 + s. Calculate k(o). -11 Let k(z) = z**2 + 7*z - 97. Let m be k(7). Let r(f) = 14*f**3 + 0*f**3 + 1 + 567*f - 567*f. Calculate r(m). 15 Suppose 4*w + 15*w = 76. Suppose 5*t + 4 + 3 = -w*j, -12 = 4*t. Let m(d) = -d**3 + 2*d**2 + 2*d. What is m(j)? 4 Let q(r) = 2*r**2 + 1. Suppose 0 = 27*t + 84 + 213. Let o(d) = -10 - 3*d - 4 + 2*d. Let p be o(t). What is q(p)? 19 Let d(x) = 253*x + 3794. Let s be d(-15). Let p(f) = -7*f**3 - f**2 + 8*f + 8. Give p(s). 6 Let b(r) = r**2 - r + 31. Suppose 20 = -4*o + 4*s - 0*s, -3*o - 2*s - 35 = 0. Let w(f) = f**2 + 12*f + 27. Let u be w(o). Give b(u). 31 Let l = -485 - -508. Suppose l - 18 = -j. Let t(u) = u**2 + 4*u - 5. Determine t(j). 0 Let p(f) = f - 16 - 2*f + 3. Let k be -1*4/10 + (-1200)/125. What is p(k)? -3 Let l(f) = -f**2 - 8*f + 52. Let q be l(-10). Suppose -q*w = -27*w. Let z(d) = -d**2 - 23. Calculate z(w). -23 Let w(c) = 27*c + 1. Suppose -8*z + 5*z - 20 = j, 4*z + 21 = -j. Let l(t) = 76*t + 3. Let h(b) = j*w(b) + 6*l(b). Determine h(-4). 13 Let v(s) = -s + 25. Let a be v(17). Let c(y) = 52*y + 2. Let i(m) = 62*m + 2. Let n(u) = 6*c(u) - 5*i(u). What is n(a)? 18 Let i(g) = g. Let h(t) = -t**2 - 7*t - 6. Let c(o) = o**2 + 8*o + 7. Let u(l) = 6*c(l) + 7*h(l). Let v = 1 + -1. Let p be u(v). Determine i(p). 0 Suppose 0 = -y - 5*n - 16, 5*n + 24 = 4. Suppose -2*t - y = -3*a, 0*a + 3*t = -3*a + 24. Let j be -2 + (-2)/a*-4. Let o(c) = -c - 7. What is o(j)? -7 Let x = 194 - 131. Suppose -61*c = -4*o - x*c + 26, -5*c - 7 = 2*o. Let s(r) = r**2 - 11*r + 16. Give s(o). -2 Let f(j) = 10*j**2 - 149*j + 74. Let o(l) = -7*l**2 + 105*l - 50. Let w(v) = -5*f(v) - 7*o(v). Calculate w(7). 1 Let i(r) = -136693 + 68279 + 68300 - 16*r. Calculate i(-7). -2 Let m = 666 + -663. Let w(r) be the second derivative of -4/3*r**m - r + 1/20*r**5 + 0 + 4*r**2 - 5/12*r**4. Determine w(6). -4 Let q be (-20 - 315)*(-9)/(-15). Let v = q - -195. Let u(k) = k**2 + 4*k. What is u(v)? 12 Let u = 243 + -53. Let i = 191 - u. Let g(k) = -9*k + 2. Give g(i). -7 Let q be -2 - (-1 + (-7 - -4)). Let v(t) = 15*t - 11*t**2 + 4 - 16*t + 0*t**q. Let y(h) = -12*h**2 - h + 5. Let g(o) = -4*v(o) + 3*y(o). Calculate g(1). 8 Let c be (-130)/4*20/(-25). Suppose -177 - c = -7*b. Let y = b - 36. Let v(x) = -x**2 - 8*x + 3. Give v(y). 10 Let k(a) be the second derivative of a**3/6 - a**2/2 - 698*a. Calculate k(6). 5 Let k(t) = 4*t + 25. Let b be k(-7). Let j be (2 - 0)/(0 + 2/b). Let d(z) = 2*z**2 + 3*z - 4. Let g be d(j). Let u(y) = 2*y - 7. Give u(g). 3 Let y(o) = -11 - 17 + 2*o + 20*o + 3*o + 2*o. Let n(z) = -10*z + 10. Let h(j) = -8*n(j) - 3*y(j). Let g = -12 + 18. Calculate h(g). -2 Let t(c) = 2*c**2 + 4*c + 18. Let v be t(9). Let g = 210 - v. Let s(a) be the first derivative of -a**3/3 - 3*a**2 + 8*a + 1. Calculate s(g). 8 Suppose 1261 + 1235 = 3*b. Let n be b/128 - (-2)/4. Let g(d) = d - 16. Calculate g(n). -9 Let g be (-312)/(-546) - (-12)/(-21). Let z(q) = -q**3 - 3*q**2 + 5*q + 2. Give z(g). 2 Let x(p) = -p - 2 + 1 + 2*p. Suppose -76*a + 24 = -u - 81*a, u - 2*a = 4. Calculate x(u). -5 Let n(p) = 3*p - 230. Let d be n(75). Let j(s) = s**3 + 7*s**2 + 8*s - 6. What is j(d)? 4 Let k(m) be the first derivative of -5*m**3 - m**2/2 + m + 6. Let s = -287 + 308. Suppose 6 = -15*z + s*z. Calculate k(z). -15 Let l(b) = -b - 1. Let k(q) = q + 1. Let j(y) = -3*k(y) - 2*l(y). Suppose -4*z = a - 6, -2*a + 0*z = -z - 12. Let t be -7 + 10/(a - 4). Determine j(t). 1 Let w(u) = -106*u - 630. Let m be w(-6). Let j(r) = 3*r - 14. Calculate j(m). 4 Let l(f) be the second derivative of f**3/2 + 25*f**2/2 + 63*f - 5. Determine l(-26). -53 Let g(n) be the first derivative of -n**3/3 + 53*n - 2163. What is g(-8)? -11 Let z(c) be the third derivative of 0*c**3 + 0*c + 1/24*c**4 - 45*c**2 + 0. Determine z(8). 8 Let u(z) = 2177*z - 6518. Let s be u(3). Let r(g) = g**3 - 8*g**2 + 6*g - 17. Let c(t) = t**3 - 7*t**2 + 7*t - 18. Let l(k) = 5*c(k) - 6*r(k). Calculate l(s). -1 Let a be 334/5 - 23/(-115). Let p(b) = 33*b - a*b + 32*b - 2. Give p(-3). 4 Suppose 0 = -2*d - 3*d + 15. Let f = 963 - 963. Suppose -2*j + d*j = f. Let a(t) = t**2 + t + 2. Determine a(j). 2 Let b = 2 - 5. Let v(t) be the second derivative of t**3 - 2*t**2 + 3533*t - 1. Give v(b). -22 Let s(n) = -n + 4. Suppose -9*r + 2*l + 44 = -6*r, -5*r = -4*l - 76. Suppose 0 = -4*v - r, 2*u + 7*v - 2*v + 9 = 0. Give s(u). 1 Let d be 49/(-28) - (-65)/(-52). Let s(b) = 4*b + 5. Determine s(d). -7 Suppose 810*y = 3*m + 811*y - 3, -12 = -m - 4*y. Let f(h) = -7*h + 5. What is f(m)? 5 Let n(v) = -11*v**2 + 14*v + 46. Let l(w) = 40*w**2 - 57*w - 182. Let u(r) = 3*l(r) + 11*n(r). Calculate u(-13). 12 Let j(b) = -b + 29. Suppose -3*v + 8*v = -10*v. Give j(v). 29 Suppose 5*r + 3*k = 6*k + 41, 3*r - 2*k = 25. Suppose -1047 + 567 = 24*f. Let u be r/(-3) + 3 + f/3. Let g(t) = t**2 + 8*t. What is g(u)? -12 Let f(n) = n**3 - n**2 - 21*n - 10. Let j be (-94)/(-10) + 82/(-205) - 3. What is f(j)? 44 Let l = 34 + -22. Let u = l - 12. Let j(h) = 2*h + u*h + 3*h - 2 - 3 - h**2. What is j(6)? -11 Let x(a) be the third derivative of a**6/120 + 23*a**5/60 + 7*a**4/4 - a**3/2 - 393*a**2. Calculate x(-21). -3 Let p(l) = 4*l**2 - 4*l + 2. Suppose 4*r + 63 = 2*w - 47, 3*w + 5*r - 132 = 0. Suppose -w*d = -41*d - 16. Calculate p(d). 10 Let f(z) = -20*z - 176. Suppose -151 = 61*j + 21 + 377. Calculate f(j). 4 Let c(t) be the third derivative of t**4/6 - 11*t**3/6 - 1077*t**2. What is c(-9)? -47 Let h(z) = -41*z**2 + 15*z + 6. Let m(t) = -74*t**2 + 28*t + 11. Let u(n) = -11*h(n) + 6*m(n). What is u(-2)? 22 Let n(f) be the first derivative of -f**3/3 - f**2 + 4*f - 1607. Give n(4). -20 Let o(n) = -12*n + 449. Let m be o(36). Let l(u) = 7*u - 30*u + 9*u + 1 + m*u. Determine l(-1). -2 Let c(d) = d**3 - 10*d**2 - d + 12. Let s be c(10). Suppose 24 = 2*y + 3*k - 3, -2 = -2*y + s*k. Let z(o) = -o**2 + 5*o - 6. Determine z(y). -12 Let n(l) = 10*l + 372. Let b(o) = 11*o + 431. Let j(p) = 5*b(p) - 6*n(p). C
{ "pile_set_name": "DM Mathematics" }
= 10*g - 550. Suppose -4*q = -3*w + g, -3*w - 3*q - 36 = -6*w. Let r(o) = o**3 + 4*o**2 - 7*o - 7. Let x be r(-5). Solve -m + w = x*m for m. 2 Let q = 0 - -11. Suppose 17*c = 13*c - 28. Let f = q + c. Solve -f*v + 2 = -2 for v. 1 Let m(w) = 2*w - 11. Let h be m(8). Let s be h/(-2 - (-7 + 4)). Solve 0 = -j - s for j. -5 Let k(z) = z**2 - 4*z - 6. Let i be k(-2). Let p be ((-10)/12)/5 + i/36. Solve 4*y = -p*y for y. 0 Suppose 12*v - 1 - 35 = 0. Suppose -g = v*g - 2*g. Solve g = 3*u + u - 8 for u. 2 Let x(s) = 12*s - 98. Let d be x(9). Solve k + 45 = d*k for k. 5 Let f = 214 + -212. Solve 3*k + 20 = -f*k for k. -4 Let i = -111 - -113. Suppose 4*s + i - 18 = 0. Solve 23 = s*m + 3 for m. 5 Let a = -58 + 41. Let w = a - -27. Let c = -6 + 11. Solve 0*i = c*i + w for i. -2 Let r(f) = 2*f**2 - 15*f + 17. Let p be r(9). Suppose 2*h = 5*l - p, 3*l - h - 10 = 2*l. Solve 3*c - l = 4 for c. 4 Suppose -12*m + 9*m = 5*r + 3, 2*r + 5*m = -5. Solve n + 2*n + 15 = r for n. -5 Suppose 0 = -5*y + 23 + 37. Suppose -y = -3*k - 3*d, 5*k - 5*d + 4 = 2*k. Suppose -q + 1 = 4*o, 0*o + 4 = -k*o + 4*q. Solve o = b + b for b. 0 Let m be -1 - 8/((-16)/18). Suppose 4*x = 5*x - m. Solve 5*w + 7 = -x for w. -3 Suppose 5*q + 14 = 2*a, -5*a + 57 = 5*q - 13. Suppose -3*p + 50 = -h - 4*h, a = p + 3*h. Let k be (-6 + 6 + -1)*(-3 + 1). Solve -p = k*b + b for b. -5 Let p(n) = n**3 + 5*n**2 + 2*n - 6. Let b be p(-4). Suppose -5*a = b*a - 21. Solve 4 - 1 = a*c for c. 1 Let t be 4 - (-4)/(32/40). Solve 4 = -5*h + t for h. 1 Suppose -2*z + 21 + 15 = 4*i, -20 = -3*i + 2*z. Solve -3*r - 1 = i for r. -3 Let g(c) = c**3 - c**2 - 6*c + 14. Let j be g(0). Solve 2*y + j = 6 for y. -4 Suppose 0 = -22*n + 32*n. Solve n*a - 16 = 4*a for a. -4 Let a(y) = -y**3 + 11*y**2 + 13*y - 12. Let l be a(12). Suppose 59*z - 56*z = l. Solve 0*r - 2*r - 6 = z for r. -3 Let p(z) = z**3 + 10*z**2 - 8*z + 5. Let l be p(-10). Let w be 5/(-20) - l/(-4). Solve -w = 4*x - 1 for x. -5 Let l be 210/42 - (-3 + 1)*-1. Solve -4 = -l*d - 19 for d. -5 Let k be (-14)/6 + 2/6. Let o = 134 - 136. Let p be k*(0 - -2)/o. Solve p*d - 8 = -0*d for d. 4 Let u(n) = -468*n + 14510. Let m be u(31). Suppose 12 = -p + 37. Suppose -5*w + 5*j = -p, j = 3*w - 0*j - 5. Solve w = m*k + 2*k for k. 0 Let j(z) = 18*z - 9. Let y be j(-5). Let m = y - -102. Solve 2*x - m*x = 0 for x. 0 Suppose 144*g - 96 = 132*g. Solve -8*a + 4*a - g = 0 for a. -2 Let v = 28 + -19. Suppose 0*z = -3*z - 18. Let p be 12/v*z/(-4). Solve 7 = a + p for a. 5 Let z be (3/5 - 1)/((-1)/10). Suppose z*j = 3*o - 33, -4*o + 0*j = j - 25. Solve 0 = 4*u - o - 5 for u. 3 Let a(o) = -19*o**2 - 2*o + 2. Let m be a(1). Let d = 29 + m. Solve 6 = -4*p - d for p. -4 Let p be (-2 + 20)/2*2/2. Solve p = -28*l + 31*l for l. 3 Let m be (-2 - (-8)/5)*-5. Let v be m*(3 + -1 + 4). Solve -5*l = -l - v for l. 3 Suppose 0 = z + 2*k - 7, -2*z - 4*k + 2*k + 10 = 0. Solve -2*g - z = g for g. -1 Let f(c) = 8*c + 538. Let o be f(-55). Solve 15*n = o - 23 for n. 5 Let v = -74 - -77. Suppose -16*u - v*u = -76. Solve 2 - 6 = -u*p for p. 1 Let j(g) = -g + 4. Let m be j(0). Suppose 0 = -k + 2*n + 4 - 6, 4*k + 5*n - 31 = 0. Solve -k*t - 12 = m for t. -4 Let d = -17 - -21. Suppose 2*a + 88 = 4*v, a + d*a = -v. Let f = v + -12. Solve k + f = -k for k. -4 Suppose -4*y = k - 85, -3*y + 10*k = 11*k - 63. Solve -26*j + y*j - 12 = 0 for j. -3 Let c(a) = 4*a + 4 + a + 3 - 4*a. Let g be c(10). Let z = g - 17. Solve z = -5*n + 4*n - 2 for n. -2 Let b(z) = -z**3 + 2. Let j be b(-2). Let l = j + -15. Let x = -4 - l. Solve -5*t = 4 + x for t. -1 Let s(l) = l**3 - 3*l**2 + 7*l + 4. Let n be s(3). Suppose -n = 47*y - 52*y. Solve y + 10 = 5*k for k. 3 Suppose 0 = -4*x - x + 50. Suppose 2*i - 8 = k, 3*i + 4 = k + 15. Solve i*j - j - x = 0 for j. 5 Let k(a) = a**2 - 3*a. Let z be k(0). Suppose z = -4*d - 5*m + 16, 2*d + 3 - 11 = 4*m. Solve 0 = h - 0*h + d for h. -4 Let y be (-46 - -52) + 4 + -2. Solve -y*x = -21 - 11 for x. 4 Let l(u) = -9*u + 18. Let k be l(2). Let p be (k - (-15)/(-20))/(1/(-4)). Solve 2*b - p = 3*b for b. -3 Let o = -513 + 522. Solve o*b = 13*b for b. 0 Suppose -2*x = -x. Suppose x = -3*p + 5*m + 2, -p - m + 10 = p. Let h be 4*1/p*20. Solve -5*k + h = -k for k. 5 Let r be (-6)/9 - (-42)/9. Let c be (-64)/(-6) - 10 - 7/(-3). Solve 8 = -c*h - r for h. -4 Let h(b) be the second derivative of -6*b + 1/6*b**4 - 1/20*b**5 - 1/6*b**3 + 0 + 0*b**2. Let t be h(1). Solve -3*c = -t*c for c. 0 Let k(u) = u**2 + 9*u + 7. Let a be k(-9). Let v = a + -1. Suppose -v*q = 4*o - 4*q - 8, 0 = -4*o + 2*q + 8. Solve o*l + 3 = 3*l for l. 3 Let b be ((-64)/20 + 2)/((-1)/5). Suppose -b*x - 13 = -25. Solve x*z = -z - 9 for z. -3 Let u = 4 + -2. Suppose -q - 19 + 22 = 0. Suppose -4*d + 3*p = -19, -q*p = 4*d - 0*p + 11. Solve u*l + 7 = -d for l. -4 Let h = 268 + -265. Solve 0 = h*r + 4*r for r. 0 Let n = 8 - 5. Let c be (-44)/3*12/8. Let i = 29 + c. Solve -i = s - n for s. -4 Suppose 0*r - 34 = 2*r. Suppose -73 = -5*c + 2*x + 30, 0 = -4*x - 16. Let t = r + c. Solve -u - 1 = t for u. -3 Suppose 9*o - 19 - 53 = 0. Let z = o - 7. Solve -z + 6 = -5*m for m. -1 Let m(q) = -q - 1. Let i be m(-3). Suppose p - b = 36, 3*p = 5*b + 79 + 35. Let z = p - 33. Solve -i*w + 1 + 1 = z for w. 1 Let y be 5 + 1 + -1 - (-9)/(-3). Solve 0 = -3*v + y*v for v. 0 Let z be (28/(-8))/(-7)*4 + 1. Let u be (z - ((-12)/(-4) + -2))/1. Solve -u*y + 3*y - 4 = 0 for y. 4 Let f be 4/16 + 0 + (-22)/(-8). Let z(d) = d**3 - d**2 - 7*d + 5. Let m be z(f). Solve 8 = -m*o + 2 for o. -3 Suppose -l = t - 5, -4*l - 19 = -5*t - 3*l. Suppose -2*n - t*n = -24. Solve 0 = -n*y - 0*y + 8 for y. 2 Let c(p) = 12*p**2 + p**3 - 14*p + 3 - 28 + 16. Let m be c(-13). Solve -12 = -m*h + 8 for h. 5 Let y be -1 + (-2)/(-2) - (0 + 1). Let t be 37/7 - ((-54)/(-42) + y). Solve 2*d = t + 1 for d. 3 Let d be 66/4 + (-4)/8. Suppose 0 = -4*u - 4 + d. Suppose 7*m - 2*m = 7*m. Solve -u*p - 20 + 8 = m for p. -4 Let k(r) = -5*r**2 - 18*r - 2. Let b be k(-3). Let d(a) = -8 - 3 + 2*a + a. Let c be d(b). Solve 0 = -3*v - 2 - c for v. -4 Suppose -5*w - h + 44 = 0, -5*h + 0*h + 20 = 0. Let u be w/(-10)*150/(-20) - 2. Solve -m - u = m for m. -2 Let u = -782 - -811. Solve -k = -u + 26 for k. 3 Let b = 2211 - 2209. Let c(r) = 2*r - 1. Let j be c(3). Solve -3 = b*s + j for s. -4 Suppose 7*g - 2*g = 0. Suppose -10 + g = -5*p. Solve 4*z - 14 = -p for z. 3 Let k(r) = -r**3 + 8*r**2 + 6*r - 3. Let n be k(-1). Solve -2 = -2*v - n for v. 1 Suppose 0 = -2*z + o + 4, 10 = 5*z + 24*o - 19*o. Solve -z - 1 = h for h. -3 Let k be 44/3 - (-18)/54. Let s(n) = -15*n + 1. Let y be s(1). Let x = y + k. Solve 4*u - 5*u = -x for u. 1 Let h(s) = -s**3 + 5*s**2 + 9*s - 11. Let r be h(6). Solve 8*k - r = k for k. 1 Suppose 13*k + 5 = 14*k. Suppose 5*w - 2*d = -4, 0 = -k*d - 3 + 13. Solve w = -3*n + n for n. 0 Let i(k) = -3*k**2 + 27*k + 36. Let r be i(10). Solve -9 = -r*n + 15 for n. 4 Let r be 6/10 - (-784)/35. Let t = 27 - r. Suppose -9 = 3*v - 48. Solve -t*d + 3 + v = 0 for d. 4 Suppose -30*i = -11*i. Suppose -3*x + 0*x + 41 = -2*j, -3*j + 66 = 4*x. Solve i = -v + 4*v + x for v. -5 Suppose 2*a - 6 = -0*a. Suppose 0 = -3*r - 15, a*v - 3*r - 23 = 1. Suppose 4*s + v*l + 4 = -0*l, -s = -4*l - 18. Solve s*g + g = 0 for g. 0 Let d(x) = 2*x**2 + 4*x + 2. Let w be d(-2). Suppose 2*y = 5*a - 5, w*y - 11 + 4 = a. Suppose 2*s = y*s - 6. Solve 0 = -s*h - 3*h for h. 0 Let t be (-3)/3*(0 - 3) + 1. Let s be t*(5/(-15))/(1/(-3)). Solve -s*n = n + 5 for n. -1 Let f be 2 + -4 + 3 + -3. Let b(i) = -i**2 + 6*i + 7. Let s be b(-5). Let h be ((-1)/f)/((-3)/s). Solve h = t + t for t. 4 Suppose -g - 5*j = -26, -3*g + 0*j - 4*j + 111 = 0. Suppose -3*n = h + 67, -4*n + 108 + g = -3*h. Let f be (-88)/h - 4/(-10). Solve 4*s = -2 - f for s. -1 Suppose -2*g + 2*a - 130 = -6*g, -25 = -g + a. Suppose -5*r + 25 = i - 2*i, 5*r - 2*i = g. Suppose 28 = 4*s - r*j, s - 10 = 3*j + 1. Solve -s*q + 12 = -q for q. 3 Let u(d) = 4 + d**2 + 2*d + 3*d - 2*d + 0*d**2. Let g be u(-3). Solve 3*a - g*a = 0 for a. 0 Suppose -8*q = -13*q + 25. Suppose -d + d - q*d = 0. Solve -3*c + d = -15 for c. 5 Let v(g) = g**2 - 29*g - 52. Let l be v(31). Solve -7*x - l = -3 for x. -1 Let q be 7*(-2 - 126/(-49)). Solve -16 = 3*p - q for p. -4 Let g = 40 - 32. Solve -4 = -2*v - g for v.
{ "pile_set_name": "DM Mathematics" }
. -7296/1541 Divide 269325150 by 4. 134662575/2 What is -19135120 divided by 80? -239189 What is -9968904 divided by 60786? -164 Calculate -125278643 divided by -4. 125278643/4 Calculate 8003233 divided by 7. 1143319 Calculate -5 divided by 741937. -5/741937 What is -12307 divided by -35353? 12307/35353 What is -1505690700 divided by -4? 376422675 Divide 4390662 by -4390662. -1 3091869 divided by 99 31231 Divide -5093296 by -5093296. 1 Divide 16377664 by 32. 511802 -10965275 divided by 2193055 -5 -149081658 divided by -1517 98274 Divide 5220268 by 7. 5220268/7 -5 divided by -72547179 5/72547179 Calculate 698763 divided by -49. -698763/49 Calculate 226257800 divided by -4. -56564450 -5580830142 divided by -6 930138357 Divide -10419092 by -113251. 92 Divide -190531435 by 5. -38106287 Divide 47595110 by -23797555. -2 0 divided by 5127737 0 -2 divided by -1023772 1/511886 -135 divided by 153897 -45/51299 Divide 4488498 by -249361. -18 What is -4122 divided by -9496? 2061/4748 -3193463464 divided by -4 798365866 Calculate -367197 divided by -5. 367197/5 Calculate 2 divided by -124236340. -1/62118170 Divide -4753 by -248. 4753/248 What is 446856 divided by 57? 148952/19 Divide -652188262 by 89. -7327958 Divide 11520930 by 8490. 1357 Calculate 4277 divided by -117. -329/9 Calculate -7891848 divided by -6. 1315308 62 divided by -31548 -31/15774 Calculate -386736655 divided by -77347331. 5 Calculate -281286 divided by -1386. 15627/77 Calculate 5 divided by -2724537. -5/2724537 5 divided by 1594897 5/1594897 What is -36867004 divided by 2? -18433502 Calculate -8 divided by -3531351. 8/3531351 What is -3152 divided by -2332? 788/583 Calculate 4936839 divided by 4936839. 1 What is -6924 divided by 1193? -6924/1193 Divide -471 by -85776. 157/28592 Calculate 26 divided by -2749479. -26/2749479 What is 70827576 divided by 804? 88094 What is 3433 divided by 16688? 3433/16688 -1 divided by -19932843 1/19932843 What is -17833 divided by -1704? 17833/1704 -4 divided by -2488439 4/2488439 What is 446 divided by -1566922? -223/783461 Calculate 18 divided by -369100. -9/184550 What is -101468 divided by 805? -101468/805 What is 13 divided by -2102566? -13/2102566 What is 2857288 divided by -12? -714322/3 Divide 47966960 by -183080. -262 Divide 419 by 2138. 419/2138 Divide -196309915 by -4. 196309915/4 -22180444 divided by 143 -155108 Divide -29230533 by 9. -3247837 -401305326 divided by -9332682 43 Calculate 5 divided by -238210523. -5/238210523 -14845056 divided by -6432 2308 Calculate -42925404 divided by -10731351. 4 3143688 divided by 325 3143688/325 Calculate -41505178 divided by -242. 171509 Divide -77363730 by -30. 2578791 Calculate 0 divided by 1253261. 0 What is 13098692 divided by -3274673? -4 Calculate -123026 divided by -449. 274 What is -1546 divided by -5589? 1546/5589 Divide -768 by -2059. 768/2059 113243754 divided by -39239 -2886 -67605498 divided by -3 22535166 What is -3987471 divided by 16? -3987471/16 12456022 divided by 1 12456022 What is -291 divided by -313974? 97/104658 Calculate -45077792 divided by -6712. 6716 Calculate 3782700 divided by -84060. -45 171472245 divided by -1065045 -161 -1 divided by -8047415 1/8047415 Divide 109240559 by -5. -109240559/5 298628320 divided by 18664270 16 Calculate 35289826 divided by 2. 17644913 -408072664 divided by 102018166 -4 Divide 116523792 by 2079. 56048 -731085234 divided by -6 121847539 46071420 divided by -3 -15357140 -751753872 divided by 18 -41764104 What is 34859 divided by 924? 3169/84 -118834958 divided by -359018 331 Divide -1197 by 5156. -1197/5156 What is 59958 divided by -55? -59958/55 -57761028 divided by 370263 -156 What is 8979872 divided by 816352? 11 Divide 1175225 by 7. 1175225/7 Calculate 4 divided by 2733386. 2/1366693 Divide -29557 by 152. -29557/152 What is -25495872 divided by -55912? 456 What is -47187520 divided by -5? 9437504 Calculate -4255 divided by -6046. 4255/6046 Divide 203109075 by 208317. 975 What is 5 divided by -615545? -1/123109 What is 14864041 divided by 1? 14864041 What is -18991233 divided by -1? 18991233 Divide 10591753 by 460511. 23 Calculate 1457 divided by -2729. -1457/2729 Calculate -22665583 divided by -1. 22665583 Calculate 346427704 divided by -56. -6186209 Divide 41173160 by -10. -4117316 What is -13 divided by -545673? 13/545673 -1 divided by 481155 -1/481155 388364 divided by 158 2458 Divide -45225928 by -4. 11306482 -158493468 divided by -26415578 6 Calculate -131978 divided by 2700. -65989/1350 What is 681 divided by -24234? -227/8078 What is -8484240 divided by 870? -9752 Calculate 172590489 divided by -6. -57530163/2 Calculate -59 divided by 4448. -59/4448 Divide -23671596 by 11835798. -2 Calculate 12823960 divided by -2092. -6130 Divide 16854 by -24. -2809/4 Divide -118 by 1115719. -118/1115719 1585 divided by -66472 -1585/66472 What is -12148884 divided by -2? 6074442 -33707 divided by -2829 33707/2829 What is 0 divided by -4589620? 0 Calculate -166201258 divided by -1. 166201258 What is -304304058 divided by -2097? 145114 What is -7 divided by -850834? 7/850834 Calculate 921 divided by -16528. -921/16528 What is -329 divided by 2097856? -329/2097856 Calculate 541756 divided by 4369. 124 12388572 divided by 2 6194286 Divide -306015173 by 2459. -124447 What is -86 divided by -53612? 43/26806 Calculate 21033845 divided by -4206769. -5 -294964670 divided by 14 -21068905 Divide -180305440 by 6412. -28120 Calculate 20512188 divided by -18. -1139566 Calculate -218898790 divided by 4. -109449395/2 What is -3689 divided by 25100? -3689/25100 What is 40 divided by 569889? 40/569889 Calculate -35617354 divided by -2. 17808677 Divide 6851871 by -9. -761319 What is -161994798 divided by -798? 203001 Divide -139355216 by 11752. -11858 -1 divided by 1499929 -1/1499929 Divide -3580507 by -511501. 7 What is 8 divided by -989072? -1/123634 352 divided by -360098 -176/180049 -7 divided by -513160 7/513160 Divide 17343007 by -39149. -443 What is 47440 divided by 2209? 47440/2209 Divide 3210720 by -4. -802680 19473191 divided by 19473191 1 29 divided by 2786553 29/2786553 Calculate 18490560 divided by 543840. 34 Calculate -43878323 divided by 1. -43878323 Calculate -52052 divided by -499. 52052/499 Divide 5764425 by -2545. -2265 What is -240909 divided by -296? 240909/296 -10 divided by -1923403 10/1923403 What is -1205056 divided by -150632? 8 Divide 5840 by -2398. -2920/1199 -18956489 divided by -1 18956489 Calculate -6313893 divided by 6. -2104631/2 What is 468897 divided by 58? 468897/58 -14310312 divided by -41 349032 -408705 divided by 12385 -33 Calculate -127427658 divided by -3. 42475886 What is -67446145 divided by -24131? 2795 What is 1738080 divided by 272? 6390 Divide -16229780 by -490. 33122 Calculate 82986 divided by 676. 41493/338 Calculate 0 divided by -2730393. 0 Calculate 6288 divided by -84552. -262/3523 Divide 18955728 by 2. 9477864 What is 1096715 divided by -98? -1096715/98 Divide -4 by 2082761. -4/2082761 What is -189 divided by 54995? -189/54995 103300 divided by -4132 -25 Calculate -490040 divided by -30. 49004/3 Divide -13275 by 199. -13275/199 -63939 divided by 4066 -63939/4066 -861072 divided by -17 861072/17 41003174 divided by -1 -41003174 Calculate -1366265 divided by -8. 1366265/8 What is 33428531 divided by 5? 33428531/5 What is 860697135 divided by -5? -172139427 What is -4293897 divided by 2? -4293897/2 281541 divided by 59 281541/59 4 divided by -1991090 -2/995545 Calculate 5149 divided by -2218. -5149/2218 Divide 4010874 by 22533. 178 76032348 divided by -905147 -84 What is 94 divided by 210286? 47/105143 Divide 5110 by 25906. 2555/12953 Calculate 2153 divided by -3046. -2153/3046 Divide -6702736 by -1. 6702736 What is -46312000 divided by 5600? -8270 What is 327117944 divided by -3748? -87278 What is -94995676 divided by -286996? 331 Calculate 440 divided by 11683. 440/11683 78404114 divided by -85037 -922 What is 18671 divided by -32? -18671/32 Divide 116707100 by -2334142. -50 What is -27627520 divided by 12160? -2272 What is 30504 divided by -1549? -30504/1549 -49334280 divided by -9866856 5 Divide -5451648 by -32. 170364 What is -378875412 divided by 2? -189437706 Calculate -641338200 divided by -213779400. 3 Calcula
{ "pile_set_name": "DM Mathematics" }
ree letters picked without replacement from neeenneeeneen. Give prob of sequence een. 70/429 Two letters picked without replacement from {h: 1, d: 1, l: 2, m: 2, k: 2, x: 1}. What is prob of sequence mh? 1/36 Two letters picked without replacement from btonnoohhhhnhaonnoa. What is prob of sequence on? 25/342 Calculate prob of sequence ci when two letters picked without replacement from cccccccccccci. 1/13 Three letters picked without replacement from {i: 6, j: 4, f: 5}. What is prob of sequence jji? 12/455 What is prob of sequence ccj when three letters picked without replacement from {c: 3, j: 11}? 11/364 Two letters picked without replacement from ppmbmpppbpimppxxbbpm. What is prob of sequence ix? 1/190 Calculate prob of sequence gvzs when four letters picked without replacement from sgzov. 1/120 Four letters picked without replacement from {r: 1, m: 2, e: 4, y: 2}. What is prob of sequence remy? 1/189 Two letters picked without replacement from yyhdh. What is prob of sequence yy? 1/10 What is prob of sequence egxe when four letters picked without replacement from egxexxxgxxggxxegg? 3/595 Calculate prob of sequence rb when two letters picked without replacement from {k: 1, j: 1, r: 1, b: 2}. 1/10 Calculate prob of sequence el when two letters picked without replacement from {b: 4, z: 1, l: 1, n: 1, a: 3, e: 2}. 1/66 What is prob of sequence wf when two letters picked without replacement from {v: 2, f: 2, w: 1}? 1/10 What is prob of sequence odd when three letters picked without replacement from oooodooddooo? 9/220 Calculate prob of sequence fnn when three letters picked without replacement from fnpnpyddnp. 1/120 Four letters picked without replacement from {o: 5, g: 1, y: 1, l: 5}. Give prob of sequence loog. 5/594 Calculate prob of sequence ycdc when four letters picked without replacement from {e: 5, d: 2, c: 6, q: 1, y: 1}. 1/546 Three letters picked without replacement from {v: 2, t: 4, p: 7}. What is prob of sequence pvv? 7/858 Calculate prob of sequence brr when three letters picked without replacement from {b: 11, r: 3}. 11/364 What is prob of sequence ss when two letters picked without replacement from {b: 2, s: 3}? 3/10 Two letters picked without replacement from {i: 6, z: 4, p: 3, x: 2}. Give prob of sequence zp. 2/35 Calculate prob of sequence ffvf when four letters picked without replacement from fffvfvv. 3/35 What is prob of sequence ccc when three letters picked without replacement from ckkkckkjjkck? 1/220 Three letters picked without replacement from qvmyvymqqmyddyyyqv. What is prob of sequence qvv? 1/204 Four letters picked without replacement from {a: 3, s: 2, z: 3}. What is prob of sequence zzzs? 1/140 What is prob of sequence xox when three letters picked without replacement from otvvvvooxtvoxxvvv? 1/170 Four letters picked without replacement from keezeezzkzzzze. Give prob of sequence zeez. 5/143 What is prob of sequence ee when two letters picked without replacement from eeeleeleeeeeeeeeee? 40/51 Four letters picked without replacement from {e: 2, c: 1, f: 2, h: 6}. Give prob of sequence fecf. 1/1980 What is prob of sequence ffm when three letters picked without replacement from xfxqxffxmhffxfmfmfmf? 4/95 What is prob of sequence bbbb when four letters picked without replacement from {b: 13, a: 5}? 143/612 Four letters picked without replacement from {s: 5, w: 3}. Give prob of sequence wssw. 1/14 Calculate prob of sequence tti when three letters picked without replacement from iiitttiiitititititti. 11/95 Three letters picked without replacement from {r: 4, h: 1, x: 2, e: 1, g: 1}. What is prob of sequence hrx? 1/63 Calculate prob of sequence sisi when four letters picked without replacement from csscissccicc. 1/495 What is prob of sequence wmvv when four letters picked without replacement from miaiiowivivvv? 1/1430 Calculate prob of sequence ltwj when four letters picked without replacement from {n: 1, a: 1, j: 1, t: 1, w: 2, l: 1}. 1/420 What is prob of sequence aa when two letters picked without replacement from {a: 3, h: 4, t: 5}? 1/22 Four letters picked without replacement from {o: 4, i: 3}. What is prob of sequence ooio? 3/35 Three letters picked without replacement from lllllllllglllllllgl. Give prob of sequence glg. 1/171 Four letters picked without replacement from {b: 3, j: 10, x: 2, h: 3, w: 1}. What is prob of sequence bjhh? 5/2584 Three letters picked without replacement from {n: 10, z: 6, m: 1}. Give prob of sequence mnn. 3/136 Two letters picked without replacement from {v: 2, r: 4, w: 1, b: 2, k: 3}. What is prob of sequence kr? 1/11 What is prob of sequence slc when three letters picked without replacement from sssclulccclllcsslc? 5/136 Three letters picked without replacement from {s: 2, x: 1, f: 5, z: 8}. Give prob of sequence zxz. 1/60 Two letters picked without replacement from wgkfsrwg. What is prob of sequence gk? 1/28 Calculate prob of sequence rz when two letters picked without replacement from nevrnzztznvzrtttrrzn. 1/19 Four letters picked without replacement from iiiiiiiiibbizbbbbibi. What is prob of sequence ziii? 11/969 Four letters picked without replacement from {n: 1, w: 3, o: 3, h: 6}. What is prob of sequence hwwo? 9/1430 What is prob of sequence oswo when four letters picked without replacement from ssowssoowsos? 2/165 Calculate prob of sequence ette when four letters picked without replacement from ette. 1/6 Calculate prob of sequence aee when three letters picked without replacement from aeaavvaeeeeaeeaee. 9/85 Two letters picked without replacement from favsiafsaas. Give prob of sequence vf. 1/55 Calculate prob of sequence sshs when four letters picked without replacement from {h: 4, g: 9, s: 6}. 5/969 Four letters picked without replacement from juujjjjujjjjobj. Give prob of sequence ouub. 1/5460 Three letters picked without replacement from {c: 9, z: 3}. Give prob of sequence zcc. 9/55 What is prob of sequence df when two letters picked without replacement from gfdzfddd? 1/7 Calculate prob of sequence jnk when three letters picked without replacement from hknhkjhhbhhk. 1/440 Two letters picked without replacement from {h: 4, y: 3, a: 1, u: 6, i: 2}. Give prob of sequence yh. 1/20 What is prob of sequence qgz when three letters picked without replacement from baaaagzqbgqq? 1/220 Three letters picked without replacement from {f: 7}. Give prob of sequence fff. 1 Three letters picked without replacement from {w: 3, u: 6, p: 4}. What is prob of sequence puu? 10/143 Four letters picked without replacement from yppzppzypyppy. What is prob of sequence yppz? 14/715 Four letters picked without replacement from {v: 5, i: 2}. What is prob of sequence vvvi? 1/7 Calculate prob of sequence rbbb when four letters picked without replacement from bbrbrbbrbbb. 7/55 Four letters picked without replacement from axaaagagaggaax. What is prob of sequence agax? 8/429 What is prob of sequence odjp when four letters picked without replacement from jjoaaaaadcjdajpd? 1/3640 Two letters picked without replacement from blzboozloll. What is prob of sequence bb? 1/55 Calculate prob of sequence krk when three letters picked without replacement from kkrkkkkkkkkkkkk. 1/15 Four letters picked without replacement from ijjoeny. Give prob of sequence ijej. 1/420 Two letters picked without replacement from {g: 1, k: 4, e: 3, o: 1, c: 5}. Give prob of sequence ok. 2/91 Two letters picked without replacement from uzdozuuzzuu. Give prob of sequence zz. 6/55 Two letters picked without replacement from {u: 3, o: 9}. Give prob of sequence uo. 9/44 Three letters picked without replacement from {h: 4, k: 2, f: 2}. What is prob of sequence khh? 1/14 Four letters picked without replacement from {z: 12, p: 3}. Give prob of sequence zpzp. 11/455 What is prob of sequence nnp when three letters picked without replacement from npnpaa? 1/30 Four letters picked without replacement from oenenneeeesceenns. Give prob of sequence ncos. 1/5712 What is prob of sequence glg when three letters picked without replacement from gglgllgllg? 5/36 What is prob of sequence cct when three letters picked without replacement from cccccctcctccccccccct? 34/285 What is prob of sequence gcrk when four letters picked without replacement from {g: 4, c: 1, q
{ "pile_set_name": "DM Mathematics" }