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3) + (-52 - 0)*1? -45 Calculate (-308 - -381)*1*-1 - (-1 + 5). -77 What is ((-7776)/(-704)*-4 - -44) + 1008/(-22)? -46 What is the value of -81 + 1 - ((-265)/(-45) - 333/(-2997))? -86 Calculate (0 - 70)*(15 + -22*(-15)/(-21)). 50 Calculate 2/(-76) - (-5448)/(-912) - 7/(7/20). -26 What is 1085*(-90)/9450 - (-2)/((-6)/(-7))? -8 What is the value of ((-690)/23)/180*36/42? -1/7 What is (-72)/(-10)*(-30)/2 + (-191)/16808*88? -109 Evaluate 19050/(-26670)*798/15*-1. 38 What is the value of 148/(-12) - (-437 + 427)? -7/3 Calculate 20/(-22)*(1*-6)/(109 + -104). 12/11 (-2 + 10/(-4))/(8 - (-2353)/(-260)) 30/7 What is ((-6)/(-13))/(412020/6240 + -66)*1/(-6)? -8/3 What is the value of -9 + 1416/160 - 882/2520? -1/2 What is the value of 2289/(-7140) - (-3648)/7752? 3/20 -66 + 5320/112 - -18 -1/2 What is the value of 1970/(-394) - (3 - (-10)/4)*2? -16 What is 7*4/20 - ((-133208)/(-1920) - 68)? 1/48 Evaluate (411 + -418)/((-5)/(-50)). -70 Evaluate (33/(-12) - -2)/(87/(-12412)*-1). -107 Evaluate (113 - (-2 + 98)) + (-47)/2. -13/2 184/(-42)*((-42)/(-126) - (-396)/(-216)) 46/7 What is the value of 128/9216 - -10*5071/(-1584)? -32 Calculate (-131)/(-2) + (-2)/(-14)*42*1/(-4). 64 What is the value of (-2 - 3) + (-7)/((-385)/297) + 1339/(-1030)? -9/10 Evaluate 321/(-6) + (-2)/((-532)/371) + 2/19. -52 Calculate ((-3604)/(-850))/(-106) - (-4005)/125. 32 What is 33/1 + (-23435)/645? -10/3 What is the value of 21/4*((-12)/1140*-38)/(3/50)? 35 What is the value of (-828920)/(-18860) - 22*2? -2/41 What is (-115)/552*-4 + (-2534)/(-84)? 31 822/(-959)*(-13 + 1598/(-51)) 38 Evaluate 3 + (-6 - 55) - -112. 54 Evaluate (-4)/3 - 2/6*(-5706)/634. 5/3 ((-330)/(-176))/((-798)/112) -5/19 What is (-741)/195 + -2 + 54/30? -4 Calculate 3/18*1*(-2292 - -2034) + 6. -37 What is the value of ((-684)/3960)/(18544/(-1220))? 1/88 (0 - 11) + (-10 - (-34 - 16)) 29 Calculate (-194)/(-582) - ((-1)/3)/(-1). 0 Evaluate 22/180*136/((-245344)/(-410)). 1/36 What is the value of ((-667)/(-87))/((-69)/414)? -46 Evaluate 1*(4 + 16) + 12/(-8)*12. 2 3 + ((-485)/4)/(91/((-32032)/440)) 100 What is the value of 2/(-5) - ((-14872)/(-220) - 37)? -31 What is the value of (-37887)/126290 - 346/(-220)? 14/11 Calculate -81 - (2 + 32706/(-345)). 59/5 What is the value of (((-147)/(-140))/(392/112))/2*5/33? 1/44 What is the value of -77 - 98/(15288/(-11115))? -23/4 (-10)/8*1413248/(-28960) 61 What is (188561/(-12701) - (1 + -16))/(54/39 + -1)? 2/5 259120/(-1845) - -142 - 40/18 -2/3 14290/50015 + 64/(-126) -2/9 What is the value of 135/20 + 1004/(-144)? -2/9 Evaluate -13 + (65 + 4 - 15). 41 (17*(-34)/(-16184))/(1/2 - (-44 - -44)) 1/14 Evaluate 121/1 - (-91494)/(-1173). 43 Evaluate -77 + 53 + (-52486)/(-2185). 2/95 Evaluate 418/10 - (-24)/(-30)*(-135 + 136). 41 Calculate ((-1*1)/(1/24*8))/(1974/42112). -64 Evaluate (1575/(-8575))/(1/(7/(-6))). 3/14 Evaluate 6/(-1764)*(245 - 241). -2/147 Evaluate (18779/(-267) + 71)*((-9)/(-21) + 0). 2/7 What is (-10 + 14 - ((-51)/3 - 7))/(-2)? -14 What is the value of ((-60)/(-36))/((-1200)/7920)? -11 51/850*-5 + (-2828)/40 -71 What is 19 + -13 + (5/15)/((-35)/693)? -3/5 Evaluate (-78)/(-546) - (-7)/(784/(-3768)). -67/2 Evaluate (2/(-14))/(((-18)/336)/(66/(-352))). -1/2 What is the value of 311*(-1)/17 - (-141 + 31 + 92)? -5/17 What is the value of ((-196)/42 - -3)/((-6)/(-54))? -15 What is the value of (814/(-6))/37 + (-87)/(-18)? 7/6 What is the value of 8052/305 + (-224)/160? 25 What is (-828)/(-552)*6/(((-3)/(-8))/(72/16))? 108 What is the value of 5/2*(9 + 31418/828 - 47)? -5/36 What is the value of 2/(-326) + (-6166944)/(-436289875)? 1/125 6/(-16)*(26/1 + (50 - (-14 + 46))) -33/2 Calculate (2376/162 - 22)*-3. 22 (-4326)/2781*16/(-28) 8/9 What is the value of (-8)/(-23)*-8*(-81)/(-2592)? -2/23 Calculate 24 - (47 + -32) - -44. 53 Calculate ((-116)/(-870)*45)/(2/(-16)). -48 (38 - 0 - (-4 - -3))/((-691)/(167913/(-2916))) 13/4 Evaluate 50*3/(-11) + 157 + -116 + -28. -7/11 ((-4)/94)/(21214/10607) -1/47 Evaluate 2/(-5) + ((-34477)/805 + 9/21)*-1. 42 (116 - (-182880)/(-1584))/((-108)/220) -10/9 (11/1)/(6/(-4) - (-127)/((-4191)/(-231))) 2 Calculate 1121/57 - 21 - (-292)/12. 23 Calculate (-780)/3575*20/(-16)*(-3 - -8). 15/11 Calculate ((-9207)/(-176) - 53)*-16. 11 (0 + (-65)/247)*2/30*-6 2/19 What is (16 - 7) + -4 - ((55 - 18) + 16)? -48 What is 2/(-6)*(-553)/(-79)*3468/(-238)? 34 Evaluate (-106)/24 + (-13464)/(-3168) + (14/(-300))/(-1). -3/25 25 + -20 + (1 - 88/14) - 120/560 -1/2 4/7 + (24878/(-1862) - -13) 4/19 What is the value of ((-3)/7)/(889/(-254)*(-1)/(-14))? 12/7 What is (-425)/51*6/14 - (-1544)/2702? -3 Evaluate ((6/(-21))/((-8)/14))/(335/10720). 16 What is ((-2)/(-33))/(29/10266) + 2898/(-138)? 5/11 What is the value of (-18747)/43743*(-2)/(-21)? -2/49 What is the value of (-41595)/4602 - (-14 - (1 - 6))? -1/26 What is -12 + (-746760)/(-57135) + 938/(-871)? -2/293 Calculate ((-8)/10)/(-2) - (-205 - (-2281587)/11205). 16/9 Evaluate 6171/216 - (108/(-96))/3 - 150/(-2700). 29 Calculate (47957/(-7378))/((-6)/4) - (-419)/(-96). -1/32 86 - -6 - 684912/7448 2/49 Calculate ((-2)/(-418))/(12 + 414/(-36)). 2/209 Calculate 7 + (1287/676 + -2)/((-12)/(-816)). 6/13 What is the value of (((-2)/7)/(33/77))/(2/72)? -24 8/((-840)/(-75)) - 48944/76342 3/41 Calculate (36 + 2820/(-75))*(-6)/984. 2/205 What is (-10)/3*(-270)/(-432)*(-29)/(33350/120)? 5/23 Calculate 108/8*(-220)/528*-8. 45 What is the value of 5*273/(-65)*(-66)/(-1309)? -18/17 What is the value of ((-6)/5)/(-1*152/(-7600))? -60 Calculate (5 - ((-812)/(-290))/((-8)/(-15))) + 47/220. -2/55 (-451)/((-710325)/(-630))*(-1210)/4 121 What is (-24)/54*17640/(-672)*(-4 + (-112)/(-25))? 28/5 What is (-63 - 1)*(-590)/(-177)*(-9)/(-60)? -32 (8*17)/((((-21449)/(-534))/(-241))/((-2)/(-24))) -68 What is the value of (-4950)/210 + 30 + -6? 3/7 (((-1932)/2576)/((-2)/40))/(0 - (-3)/(-22)) -110 What is (-2200)/(-3146) + 4/(-26) - 162/176? -3/8 What is the value of (-76)/16 + (-73)/13140*-1179? 9/5 What is ((-6811)/4)/(-49) + 2/(16/2) + -6? 29 What is the value of 3/(-4) + (-18020)/272*-3*(-3)/9? -67 Evaluate 37 + (-4431)/422 - 1*(-1)/1. 55/2 Calculate ((-37)/282*-47)/37. 1/6 What is the value of (((-24)/39)/8)/(-7 + (3 - 45/(-6)))? -2/91 ((-2)/(-3*2)*(0 + 104))/((-263812)/(-395718)) 52 Calculate (-21)/(-6) + (13 - (-81)/(-18)) - (3 + -4). 13 (-466)/18873*57/133 -2/189 (-50)/(-80)*(-191 + 193) 5/4 What is ((-2)/6)/(8 + 15113/(-1887)) + 10? 47 What is the value of ((-4)/5)/((-2)/15) + (-26 - (-4237)/209)? 3/11 What is (-92213)/(-9999)*(2 - 0) - (2 - -12)? 40/9 What is the value of (-440)/(-1980) + (-119)/(-126)? 7/6 What is 28/(476/(-323)) + 19? 0 What is (-360)/(-10)*98/36*(-8)/(-14)? 56 What is ((-12)/(-76))/((-690)/1748)? -2/5 What is the value of (-74)/((-1474672)/(-1316))*(-12)/(-14)? -3/53 What is ((-63)/(-30) - 40/400)/(36/(-51))? -17/6 ((-24)/(-26))/(3426/148460) 40 Calculate (-6)/51 - (-41409)/(-2193) - -8. -11 (-4 + 6)*-1*(33 - 50) - 4 30 What is the value of (-17)/(-1989)*18 + (-205)/65 + 0? -3 Calculate ((-50439)/(-46))/(-43) + 28. 5/2 What is (-193230)/(-6441) + 8709*16/(-4644)? -2/387 What is (-235)/470*143/65? -11/10 319/(68/2992*242) 58 Calculate (-1311)/(-920)*3176/1191. 19/5 (-17885)/(-490) + 18348/(-504) 2/21 218104/8768 + (-7)/((-7)/(-25)) -1/8 What is ((210/(-672))/(16/64))/((2 - 2) + -1)? 5/4 What is the value of -2 + ((-7)/3 - (-47302)/14826)? -8/7 Evaluate (-3452 - -3469) + 116/(-7). 3/7 Calculate (5616/408 - 13)*-17 + 47. 34 Calculate 16 - (-141 - -86 - 41). 112 What is the value of 5 - 56 - (-2322)/(-258)? -60 What is the value of (-164)/574 - (-9737)/637? 15 What is the value of -2 + (-4)/(-87)*42 + -10*(-3184)/(-9280)? -7/2 What is (-16 - 8965/(-561))/((-10)/(-45))*7/21? -1/34 2/(-87) + (-1588400)/(-66120) 24 (-1690)/(-676)*(-330)/25 -33 Evaluate 7/((-11 + 11472/1044)/((-2)/42)). 29 What is ((-57434)/(-25194) - 6/(-34)) + 16/(-6)? -4/19 What is (-2542)/(-93) - (5 + (1224/(-27))/8)? 28 14763/444 + (-568)/224 + 4 + (-2)/(-7) 35 What is 2/(-60)*(-59880)/(-2495)? -4/5 Evaluate (3/(135/3339) + (1 - 16/(-20)))/(-2). -38 What is (-6 + 4)/(-166)*(-630 + 632)? 2/83 What is (-9198)/2555*(-20)/56? 9/7 Evaluate ((-2)/(-27))/((-1352)/4056). -2/9 (595/5)/(-17) + (-230)/(-12) + -16 -23/6 What is (10/35 - (-5100)/(-112)) + ((-1914)/88)/
{ "pile_set_name": "DM Mathematics" }
ond derivative of -3*r**4 - 8*r**3 - 210*r**2 + 29*r + 306. -36*r**2 - 48*r - 420 What is the second derivative of 3*a*v**5 + 9*a*v**4 - a*v + a + 142*v**2 - 1101*v + 2 wrt v? 60*a*v**3 + 108*a*v**2 + 284 Find the third derivative of -506166*m**4 - 1307482*m**2. -12147984*m What is the second derivative of -22071*s**2*v**3 - 67394*s**2*v + 3*s*v**4 + 2*s*v wrt v? -132426*s**2*v + 36*s*v**2 What is the third derivative of 15474*h**6 - 325*h**2 + h - 23 wrt h? 1856880*h**3 What is the second derivative of 297044*w**2 + 148*w + 23? 594088 Differentiate 8*i*p**2*v - 11*i*p*v*y + i*p*y - 19*i*y + 2*i - 10*p**2 + 159*v*y wrt v. 8*i*p**2 - 11*i*p*y + 159*y What is the second derivative of 400*l**4 - 2*l**3 + 55*l**2 - 1167891*l wrt l? 4800*l**2 - 12*l + 110 Find the first derivative of 590*g**3 + 538*g**2 + 1079574 wrt g. 1770*g**2 + 1076*g Differentiate 230283*p**4 - 8*p**3 + 2739477 with respect to p. 921132*p**3 - 24*p**2 What is the third derivative of -616*g*t**3*z**2 - 4*g*t**2*z**3 - g*z**3 + 6195*t**3*z**3 + 49*t**3*z**2 wrt z? -24*g*t**2 - 6*g + 37170*t**3 Differentiate m*p*t**2 + 30*m*p + m*t**2 - m*t + 1032*p*t**2 - 24*t**2 - 67*t + 2 with respect to p. m*t**2 + 30*m + 1032*t**2 Find the third derivative of -n**5 - 8*n**4 - 27*n**3 - 210409*n**2. -60*n**2 - 192*n - 162 Find the second derivative of -9*p**2*v**2 + 9*p**2*v + 33*p**2 - p*v**2 - 2*p*v + 33585*v**2 + 9*v - 4 wrt v. -18*p**2 - 2*p + 67170 What is the second derivative of 417*q**3*v**3 - 3*q**3 + 2*q**2*v - 84*q*v**5 + 22*q*v + 50*v wrt v? 2502*q**3*v - 1680*q*v**3 What is the second derivative of -41624*d**3 - d**2 - 122*d + 671? -249744*d - 2 What is the second derivative of 645203*u**2 - 4724*u + 8? 1290406 What is the first derivative of 4457*u**2 - 41090? 8914*u Find the third derivative of -2543*j**5 - 2*j**4 + 88*j**3 - j**2 - 8870*j - 18. -152580*j**2 - 48*j + 528 Find the first derivative of -2*m*t**3 + 13*m*t - 1179413*m - 4399*t**3 wrt t. -6*m*t**2 + 13*m - 13197*t**2 Find the second derivative of 13*i**2*j**2 - 3927*i**2*j*k - 30*i*j**2*k - 1925*i*j*k + i*k wrt i. 26*j**2 - 7854*j*k What is the second derivative of -2*q**4 - 483*q**3 - 4*q**2 + 186868*q wrt q? -24*q**2 - 2898*q - 8 Differentiate -329*c**3 - 26*c**2 + 42471. -987*c**2 - 52*c What is the third derivative of 3067238*a**5 + a**2 + 43657*a + 2 wrt a? 184034280*a**2 What is the third derivative of b*f**3*r*u - 2*b*f**2*r*u - 73*b*f + 92*f**3*r*u - 52*f**3*r + 197*f**2*r - f*u - 2*r*u wrt f? 6*b*r*u + 552*r*u - 312*r Find the third derivative of 14*o**4*p + 8*o**4 - 2*o**3*p - 4*o**3 + 3*o**2*p + 5227*o**2 wrt o. 336*o*p + 192*o - 12*p - 24 Find the third derivative of 240960*x**3 - 426719*x**2 wrt x. 1445760 Find the second derivative of 2*a**3*c*d**2 + 2*a**3*c*d - 97*a**3*d**2 - 50*a**3*d - 21*a**3 - a**2*c*d**2 + a*c*d wrt d. 4*a**3*c - 194*a**3 - 2*a**2*c Find the third derivative of -j*w**4 - 246*j*w**3 - 2*j*w + 45*j + w**4 - 3*w**3 - 63*w**2 wrt w. -24*j*w - 1476*j + 24*w - 18 Differentiate -286*b*q**2 - 89*b*q*t - 4*b + 407427*q**2*t - q*t - 2 wrt b. -286*q**2 - 89*q*t - 4 What is the derivative of -863*b*d**3 + 25*b*d**2*p**2 - 2*d**3*p + d**2*p**2 + 31090*d*p**2 wrt b? -863*d**3 + 25*d**2*p**2 What is the third derivative of 105*t**5 + 211*t**4 - 447*t**2 + 2*t - 66 wrt t? 6300*t**2 + 5064*t Differentiate 40545*c**3*p - 2334960*c**3 wrt p. 40545*c**3 What is the second derivative of 419082*z**2 - 65889*z wrt z? 838164 Find the second derivative of 53180*z**3 - 80580*z. 319080*z What is the derivative of -64220*j - 12983? -64220 Differentiate -560373*j**2 + 245477. -1120746*j What is the third derivative of 12776*d*q**3 + 1038*d*q - d - 6*q**3 - 3*q**2 - 1 wrt q? 76656*d - 36 What is the second derivative of -1182*k**4*l - 4*k**2*l + 747*k + 2*l - 2 wrt k? -14184*k**2*l - 8*l What is the second derivative of 20915*i**4*o - 3*i**3*o**3 + 2*i*o**3 + 47547*o**3 wrt i? 250980*i**2*o - 18*i*o**3 Differentiate 99*h**3 - 195*h*o**2 + o**2 + 437*o - 51 with respect to h. 297*h**2 - 195*o**2 Find the third derivative of -21152*h**4 + 517*h**2 - 3*h. -507648*h What is the first derivative of 6*f**4 - 6*f**2 - f + 9847? 24*f**3 - 12*f - 1 Find the second derivative of 10*a**3 + 3978*a**2 - 1897*a + 5. 60*a + 7956 What is the third derivative of 293655*u**3 - 44*u**2 + 91*u + 5? 1761930 What is the first derivative of -257670*d**2*q**4 + 3*d**2 - 2437*d + 1 wrt q? -1030680*d**2*q**3 Find the first derivative of 2*s**3 - 59*s**2 + 2021*s - 325072. 6*s**2 - 118*s + 2021 What is the derivative of f**3*v**3 + 61403*f*v**3 - 58*v**3 - 2*v**2 - 42 wrt f? 3*f**2*v**3 + 61403*v**3 What is the third derivative of -128674*d**3 - 585231*d**2? -772044 Find the third derivative of 8*y**2*z**3 + 672031*y**2*z**2 + 263*y*z**4 - y*z**3 + 156*z**3 wrt z. 48*y**2 + 6312*y*z - 6*y + 936 Find the third derivative of 101*g**6 - 61*g**4 - 2*g**3 + 27458*g**2 - g + 2 wrt g. 12120*g**3 - 1464*g - 12 Find the second derivative of -30955*r**4 - 107863*r. -371460*r**2 Find the first derivative of 3*i*v + 282921*i - 114*v - 674 wrt i. 3*v + 282921 Find the second derivative of -22829*a**3 + 36218*a wrt a. -136974*a Differentiate 1565*i*n**3*v - 16*i*n**3 + n**3 - 6*n**2*v + n*v - 2215*v wrt i. 1565*n**3*v - 16*n**3 Find the third derivative of -37852*m**5*n - 2*m**4 - m**3 + 2354*m**2 + 2*m*n wrt m. -2271120*m**2*n - 48*m - 6 Differentiate -c**2*u + 20167*c*u + 6549*u + 1 with respect to c. -2*c*u + 20167*u Find the third derivative of 852*n**2*t**3*x**3 - 5*n**2*t**3*x**2 - 2*n**2*x + 12*t**3*x**3 - 55*t**3*x - 2*t**2*x**2 wrt x. 5112*n**2*t**3 + 72*t**3 What is the first derivative of -18478*l**2 - l - 9316 wrt l? -36956*l - 1 Differentiate 6*f**4 - 2*f**3 + 518*f + 418641. 24*f**3 - 6*f**2 + 518 What is the third derivative of a**5 + 117144*a**3 - 54108*a**2 + 8 wrt a? 60*a**2 + 702864 What is the second derivative of 25*o**3*x**2 - 27*o**3 - o**2*x**2 - 3*o*x**2 + 60*x**3 + 20*x wrt x? 50*o**3 - 2*o**2 - 6*o + 360*x What is the second derivative of -7*a**2*b*p - 2*a**2*b - 122*a**2*p + 145*a**2 - a*b*p - 278*a*b + 17*a - b*p - 1 wrt a? -14*b*p - 4*b - 244*p + 290 Find the second derivative of 1430153*y**2 + 2305666*y. 2860306 What is the first derivative of -69054*g - 95499 wrt g? -69054 What is the first derivative of 14*j**2 + 7105*j - 1092182? 28*j + 7105 Differentiate 2*a**4 - a**2 + 14506*a + 283750 wrt a. 8*a**3 - 2*a + 14506 Find the first derivative of -43620*s**3 - 22928. -130860*s**2 Find the second derivative of -53*f**5 - 86*f**3 + 89*f + 125 wrt f. -1060*f**3 - 516*f Find the third derivative of -2*r**4 + 10403*r**3 - 25231*r**2 wrt r. -48*r + 62418 Find the second derivative of k**4 + 20166*k**3 + k**2 + 50590*k wrt k. 12*k**2 + 120996*k + 2 Differentiate -3*k**2*s + 5447*k**2 + 656*k*s - k - 4*s - 2 wrt s. -3*k**2 + 656*k - 4 Find the second derivative of 2*d**4 + 43647*d**3 + 259*d - 120 wrt d. 24*d**2 + 261882*d Find the third derivative of i**2*o*q*z**2 + 314*i**2*o*q*z + 201*i**2*z**3 - 2*o*z**3 - 2*o*z**2 - q*z**3 - q + 18*z**3 wrt z. 1206*i**2 - 12*o - 6*q + 108 Find the first derivative of -4*b*c*w**2 + 14094*b*w + 236*c*w**2 + 461*w**2 wrt b. -4*c*w**2 + 14094*w Differentiate -124310*i*m**3 - 484*m**3 + m**2 + 13 with respect to i. -124310*m**3 Find the first derivative of -96038*q - 53893. -96038 What is the first derivative of -34249*z + 8885 wrt z? -34249 Find the third derivative of -280379*o**4 - 383*o**2 + 418*o. -6729096*o What is the derivative of -112*i**2*k - 11*i**2 - 10*i*k + 58*k - 13578 wrt k? -112*i**2 - 10*i + 58 What is the first derivative of 72058*t**4 + 123954 wrt t? 288232*t**3 What is the derivative of 19243*s**2 - 10*s + 967648 wrt s? 38486*s - 10 Find the third derivative of -250*h**6*s + 28*h**3*s + h**2*s + 4*h*s - 56*s - 35 wrt h. -30000*h**3*s + 168*s What is the third derivative of -780402*h**3 + 15*h**2 + 9*h - 615 wrt h? -4682412 Find the third derivative of 506807*a**3 - 1363021*a**2. 3040842 Differentiate -413678*n**2 - 589012 with respect to n. -827356*n What is the second derivative of 6*q*x**3 - 37*q*x**2 - 2*q*x + 2575*q - 42*x**3 - 4*x**2 - x + 5 wrt x? 36*q*x - 74*q - 252*x - 8 Differentiate 21173*g*i*t**2*u - g*i*t**2 - 3*g*i*u + 8477*g*t**2 - 26*i wrt u. 21173*g*i*
{ "pile_set_name": "DM Mathematics" }
derivative of -11*t**4/24 + 441*t**2. Determine z(c(k)). -110*k Suppose -3*l = 3*g - 105 - 6, 4*l = 5*g - 185. Let o(j) = -21*j + 21*j - 5*j + g*j + 54*j. Let i(b) = -2*b. Calculate i(o(a)). -172*a Let g(k) = 23*k. Let t(w) = -33*w. Let n(z) = -10*g(z) - 7*t(z). Let x(a) = 191*a - 2. Determine n(x(c)). 191*c - 2 Let x(r) = 23*r + 28. Let h(o) = 40*o + 49. Let d(b) = -8*h(b) + 14*x(b). Let z(m) = 8589*m. Determine z(d(k)). 17178*k Suppose -3*m + 3 = -2*m. Let o(l) = 6*l - 5*l - m + 3. Let n(r) = -7*r - 96 - 98 + 194. Give n(o(i)). -7*i Let q(u) = -138036166*u. Let j(s) = -3*s**2. Give j(q(l)). -57161949371938668*l**2 Let y(h) = 8*h + 4. Let c(a) = -34000*a + 2. What is y(c(f))? -272000*f + 20 Let o(w) = 9*w**2 + 28*w. Let q(f) = -34*f + 65. Let x(g) = -8*g + 15. Let k(d) = 3*q(d) - 13*x(d). Give o(k(i)). 36*i**2 + 56*i Let d(v) = 62*v + 64*v + 3*v**2 - 126*v. Let s(t) = t + t - 6*t - 6*t + 2*t. Calculate d(s(m)). 192*m**2 Let k(y) be the first derivative of -9*y**2/2 - 1. Let x(t) = 7*t + 57. Let s be x(10). Let g(z) = 60*z**2 + 72*z**2 - s*z**2. Give g(k(d)). 405*d**2 Suppose 37*w - 88008 = -77*w. Suppose r - 663 = 109. Let c(h) = -2*h + w - r. Let j(q) = -16*q**2. Give j(c(i)). -64*i**2 Let m(o) = 404703759*o. Let f(t) = -2*t**2. Determine m(f(i)). -809407518*i**2 Let j(c) = -3534*c**2. Let b(h) = 1099*h**2. Give b(j(d)). 13725582444*d**4 Let v(b) = 5*b + 9. Let y(t) be the first derivative of -1/2*t**2 - 7 - 2*t. Let o(k) = -2*v(k) - 9*y(k). Let d(u) = u**2. Determine d(o(s)). s**2 Let v(f) = -273826391*f**2. Let p(y) = -2*y. What is v(p(j))? -1095305564*j**2 Let y(j) = -33 - 4*j**2 + 94 - 27 - 34. Let o(u) = 2*u + 6 - 6. Determine o(y(r)). -8*r**2 Let c(z) = 5*z. Let j(b) = 104112866*b**2. Give c(j(k)). 520564330*k**2 Let n = 91 - 81. Let o(w) = -11100 + n*w**2 - 3*w**2 + 11100. Let i(g) be the first derivative of -3*g**2/2 - 2. Give o(i(q)). 63*q**2 Let y(o) = 20*o**2. Let q(a) be the first derivative of 2*a**2 + 2330. What is q(y(b))? 80*b**2 Let s(v) be the third derivative of -v**4/12 + 12*v**2. Let g(i) = 2*i + 1. Let r(x) = 53 - 28 - 27. Let t(c) = g(c) - r(c). Determine s(t(h)). -4*h - 6 Let j(z) = -20*z**2 + 5. Let o(f) = -29*f**2 + 7. Let h(q) = 7*j(q) - 5*o(q). Let w(d) be the first derivative of 3 - 4 - 4*d**3 + 5. Determine w(h(b)). -300*b**4 Let n(g) = -30*g**2 - 3*g. Let s(i) = 3643*i. What is s(n(o))? -109290*o**2 - 10929*o Let g be 12/(-10)*95/(-57). Let s(b) = -6*b + 4*b + 2*b - 34*b**g. Let q(m) = -m**2. What is q(s(o))? -1156*o**4 Suppose 0 = 3*m + 2*m - 4*n - 17, -3*m - 3*n = 6. Let u(b) = 56*b**2 + 3*b - 2. Let d be u(m). Let z(o) = o + d - 114 + 57. Let s(r) = -128*r. What is s(z(g))? -128*g Let c(f) = -9*f + 6. Let r(s) = -26*s + 17. Let g(o) = -17*c(o) + 6*r(o). Let j(k) be the third derivative of 23*k**4/12 - 3767*k**2. Give g(j(b)). -138*b Let c(q) be the second derivative of 9*q**3 - 28*q. Let w(z) be the third derivative of z**4/24 + 2*z**2 - 21. Determine c(w(l)). 54*l Let a(f) be the third derivative of -7*f**5/20 + 73*f**2. Suppose 9 = -5*j + 24. Let x(p) = -2*p - j*p + p + 2*p. Give x(a(q)). 42*q**2 Let j(d) = -d - 17. Let o(f) = -36*f. Let y(h) = -148*h - 3. Let u(r) = 4*o(r) - y(r). Calculate j(u(w)). -4*w - 20 Let z(o) = 188125*o. Let v(a) = 19*a + 6. Calculate v(z(t)). 3574375*t + 6 Let q(v) = v**2 + 5*v - 12. Let w be q(-7). Let f(i) = -2*i**2 + 4*i**2 + i**2 - w*i**2. Let n(r) = 59*r**2. Give n(f(g)). 59*g**4 Let q(h) = 5*h**2. Let i(z) = 2197*z**2 - 3220*z. Determine i(q(b)). 54925*b**4 - 16100*b**2 Let q = 57 + -61. Let i be (-22)/(-6) + ((-48)/(-18))/q. Let u(x) = -i*x - x + 4*x + x. Let l(f) = 7*f. What is l(u(v))? 7*v Let u(w) = -2*w + 73. Let b(d) = -37570*d. What is u(b(m))? 75140*m + 73 Let g(z) = 230 + 0*z**2 - 230 - 7*z**2 + 9*z**2. Let f(j) = 3*j**2 - 3*j. What is f(g(k))? 12*k**4 - 6*k**2 Let z(g) be the third derivative of g**5/30 + g**2 - 25*g - 13. Let p(l) = 1300*l**2. Determine p(z(f)). 5200*f**4 Let y(x) = 15*x**2. Let i(z) = -72*z - 22. Let l(p) be the first derivative of -5*p**2 - 3*p - 5. Let q(f) = -6*i(f) + 44*l(f). Determine y(q(u)). 960*u**2 Let a(h) = -10*h**2. Let w(b) = -b**3 + 20*b**2 + 43*b + 29. Let j be w(22). Let l(m) = 170 + j*m - 170. Give a(l(f)). -490*f**2 Let z(s) = -3*s**2 - 113*s - 3. Let x(f) = 49*f + 5. What is x(z(w))? -147*w**2 - 5537*w - 142 Let o(q) = -9*q**2 + 151. Let b(u) = -571*u + 11. Determine b(o(v)). 5139*v**2 - 86210 Let m(x) = 2*x. Let z(k) = 23459599*k**2. Give m(z(w)). 46919198*w**2 Let m(p) be the first derivative of 4*p**2 - 6090*p + 18 + 6090*p. Let s(o) be the second derivative of -o**4/6 + 3*o. Give s(m(v)). -128*v**2 Let l(v) = 5*v**2. Let n(t) be the second derivative of 0 - 13/2*t**2 - 12*t + 0*t**3 - 1/12*t**4. Let x(m) be the first derivative of n(m). What is l(x(j))? 20*j**2 Let x(p) = 20*p + 38542. Let g(y) = 9*y**2. Determine x(g(b)). 180*b**2 + 38542 Let p(m) be the second derivative of -5*m**4/12 - 2*m - 6684. Let t(y) = 4*y - 3*y - 3*y. Give p(t(n)). -20*n**2 Let g(m) = 12*m. Let l(i) = -1691 + 1691 + i - 5*i - 7*i. Calculate g(l(q)). -132*q Let n(d) = 3*d**2 - 6*d + 6. Let g(s) = -s**2 + s - 1. Let u = -61 + 62. Let x(m) = u*n(m) + 6*g(m). Let b(f) = -2*f. Calculate x(b(y)). -12*y**2 Let t be (-424)/(-20) + -4 + (-2)/10. Let m be (-10)/15 + (-59)/(-3). Let u(a) = t*a + m*a - 30*a. Let z(i) = -5*i**2. Give u(z(l)). -30*l**2 Let q(y) = -y. Let i be 8/(-10)*-10 - 8. Let c be (3*1)/(-9 - -10). Let f(l) = 0 + 1 - c*l + 3 + i*l. Calculate q(f(a)). 3*a - 4 Let h(f) = -49720 + 2*f - 9*f + 49720. Let t(u) = 493*u**2. What is h(t(a))? -3451*a**2 Let s(u) = 16*u - 1. Let c(f) = -6783*f**2 - 2*f - 3. Give s(c(i)). -108528*i**2 - 32*i - 49 Let o = 4 + 27. Let v = o + -19. Let c(t) = 20*t + t**2 - v*t - 8*t. Let j(p) = -33*p. Give j(c(h)). -33*h**2 Let t(l) = -4*l**2. Let c(f) be the second derivative of 5*f**4/24 - 155*f**2/2 - 16*f - 7. Let v(q) be the first derivative of c(q). Calculate t(v(j)). -100*j**2 Let y(g) = -70*g**2 + 2728*g + 1. Let t(h) = -13*h. Determine t(y(v)). 910*v**2 - 35464*v - 13 Let a(i) = -10*i**2. Let s(y) = 2840533*y**2. Determine a(s(k)). -80686277240890*k**4 Let v(i) = -12238*i**2. Let n(w) = -7*w**2 + 5*w - 5. Let g(m) = 10*m**2 - 7*m + 7. Let p(d) = -5*g(d) - 7*n(d). What is v(p(k))? -12238*k**4 Let s(j) = 110*j - 910. Let q(f) = -3*f + 26. Let k(d) = -70*q(d) - 2*s(d). Let z(y) = 189*y. Give z(k(n)). -1890*n Let j(b) = -5*b**2 - 13. Let p(z) = 4*z**2 + 13. Let u(f) = 2*j(f) + 3*p(f). Let n(k) = -22*k**2. Calculate n(u(r)). -88*r**4 - 1144*r**2 - 3718 Let h(l) = 25*l + 242. Let g be h(-9). Let a(w) = 34*w - 22*w - g*w - 15*w. Let r(j) be the second derivative of -j**4/4 - j. What is r(a(p))? -1200*p**2 Let u(l) be the third derivative of -l**4/24 + 37*l**3/6 + l**2. Let v(m) = 19930 - 4*m - 19930. Give u(v(g)). 4*g + 37 Let g(q) = 5*q**2 + 0*q**2 + 0*q**2. Let f(z) be the first derivative of 4*z**2 + 3801. Determine g(f(r)). 320*r**2 Suppose -4*o - 3*m - 1 = 0, -m = 4*o + 3*m + 4. Let z(f) = -6*f**2 + 16*f**2 - 4*f**o - 4*f**2. Let a(p) = -3*p + 2. Determine a(z(q)). -6*q**2 + 2 Let t(x) be the second derivative of -x**4/4 + 4223*x. Let k(m) = -m + 138. Give t(k(u)). -3*u**2 + 828*u - 57132 Let k(s) = -162495*s**2. Let f(j) = 3*j. Give f(k(d)). -487485*d**2 Let z(f) = -1512*f. Let j(b) = 25*b + 6 + 4*b - 27*b - 6. What is z(j(w))? -3024*w Let a(t) = -122*t**2. Let q(f) = -90*f**2 - 162*f - 18. Let l(o) = -26*o**2 - 45*o - 5. Let s(z) = 18*l(z) - 5*q(z). What is a(s(i))? -39528*i**4 Let h(g) = -3*g**2 + 32. Let t(p) = 7*p**2 - 88459. What is t(h(d))? 63*d**4 - 1344*d**2 - 81291 Let m(a) = 19*a**2. Let k(d) = -10622*d**2 + 2162*d + 2162. Let g(y) = 59*y**2 - 12*y - 12. Let j(u) = 1081*g(u) + 6*k(u). Determine j(m(q)). 16967*q**4 Let c(o) = -592*o + 183. Let j(t) = 61. Let m(y) = c(y) - 3*j(y). Let b(a) = a. Determine b(m(s)). -592*s Let d(g) = -23*g. Let t(j) = -14*j - 236. Let x be t(-17). Let r(u) = 0*u - x*u + 0*u + 0*u. Determine r(d(w)). 46*w Let b(x) = 78 - 78 - 6*x + 0*x. Let c be ((-27)/(-12))/(-9)*0. Let w(l) = -4*l**2 + l**2 + c*l**2 + l**2. What is b(w(r))? 12*r**2 Let i(x) = -85*x**2 + 31*x**2 + 37*x**2 + 20*x**2. Let n(p) = p - 1353. Calculate n(i(b)). 3*b**2 - 1353 Let y(g) = -18359*g. Let d(o) =
{ "pile_set_name": "DM Mathematics" }
2*b + 0*b - b)*(-5 + 5 + 2) - 38 + 45*b + 38)*(0*b - 9*b + 2*b) to u + t*b + w*b**2 and give w. -315 Rearrange (3*a - a + 0*a)*(4*a - 4*a - a**2) - 26*a**3 - 2*a**3 - 3*a**3 - 4 + 6*a**3 + 4 to the form t*a**2 + h*a**3 + k*a + v and give h. -27 Express (t - 3 + 3)*(6*t**2 + 24*t**2 + 0*t**2) + 2 + 4*t - t**3 + 3*t - 5*t as p*t + m + h*t**2 + u*t**3 and give m. 2 Rearrange -q + q + q**4 - 2*q**2 - 933*q**3 + 9 + 931*q**3 to the form o*q**2 + a + t*q**3 + k*q + p*q**4 and give a. 9 Express (-63*c - 8534*c**2 + 8534*c**2 + 12*c**3)*(3 - 4 + 2) + c**3 + 3*c**3 - 2*c**3 in the form k*c + t + i*c**2 + d*c**3 and give d. 14 Rearrange (m**2 - 4*m**2 + m**2)*(-2*m + 3*m + m) + 33 - 33 - 3*m**3 - 15*m**3 - 12*m**3 - m**3 to x*m + v*m**3 + t + s*m**2 and give v. -35 Rearrange -8 + 8*r**2 - 334*r + 0 + 2 + 336*r to the form f*r**2 + k*r + z and give f. 8 Express -3 + 203*u - 639*u - 2*u**3 + 3 as o*u + i*u**3 + x + r*u**2 and give o. -436 Rearrange 94 + 0*x**3 - 2*x**3 + 262 - 6 to the form c*x**2 + n*x + i*x**3 + d and give i. -2 Express (-2*d**2 - 3*d + 0*d + 5*d)*(10 - 10 + 27) + (-5*d + 0*d + 3*d)*(d + d - d) in the form m*d + v*d**2 + y and give m. 54 Express 121*y**4 - 122*y**4 - 6 + y - 3*y**2 + 5*y**2 as v*y + n*y**2 + r*y**4 + x + l*y**3 and give n. 2 Express -3*q**2 + 581 + q**2 - q - 5*q - 583 - 2*q**4 + 23*q as b*q**2 + i + w*q**3 + z*q + s*q**4 and give i. -2 Rearrange 80*y - 76*y + 56 - 2*y to f + j*y and give j. 2 Rearrange -2*n + 10 + 2*n - 1458*n**2 + 1447*n**2 to the form j + f*n + i*n**2 and give j. 10 Express -9 + 2*x**4 - 8 + 18 - 11*x**3 + 5*x**2 - 4*x**2 + x as p*x + i + g*x**4 + q*x**2 + z*x**3 and give p. 1 Rearrange -34 + 26*l - 22*l - 6*l to a + h*l and give a. -34 Express (8*i + 4*i + 5*i)*(-57*i**2 - 52*i**2 + 162*i**2 - 3) in the form v*i**2 + j*i + z + n*i**3 and give j. -51 Express (-2*y - 12*y - 10*y)*(46 - 46 + 2*y) as k*y**2 + u + v*y and give k. -48 Rearrange -2536 + 1269 - 4*d + 1161 to f + l*d and give f. -106 Express 110473 - 7*q + 2*q**2 - q**2 - 110470 in the form i + h*q + o*q**2 and give o. 1 Rearrange 9*v**3 - 2*v - 3*v**4 - 11*v**3 + 6 + 2*v to z*v**2 + q*v + g + t*v**4 + w*v**3 and give w. -2 Rearrange (-2*a - 3*a + 7*a)*(52*a + 36*a - 133*a) + (3*a + a - 2*a)*(-2 + 2*a + 2) to r + t*a + s*a**2 and give s. -86 Express -58*r - 21662*r**2 + 11*r + 21668*r**2 as v + u*r**2 + m*r and give m. -47 Rearrange -s + 0*s + s**2 - 5*s**4 + 6*s - 3*s - 2 to the form v*s**3 + b*s**4 + r + z*s**2 + c*s and give z. 1 Express -111*i**2 - 105*i**2 - 64*i**2 + 12*i**2 as s + r*i**2 + u*i and give r. -268 Express 272*p**2 - 24*p**2 + 101*p**2 in the form i*p**2 + m + n*p and give i. 349 Rearrange 6*u + 361*u**2 - 360*u**2 + 17*u to x + t*u**2 + q*u and give q. 23 Express -2 - b**2 - 10*b - 17*b + 2*b**2 + 29*b - 243*b**3 - 105*b**3 as l*b**3 + m + o*b**2 + y*b and give o. 1 Rearrange 3*o**2 - 106*o**2 - 100*o**2 to the form j + t*o**2 + i*o and give t. -203 Rearrange (-26 + 26 + 21*k**2)*(-5*k - 2*k + 5*k) - k**3 + 4 - 4 + (-k**2 - 4*k**2 + 6*k**2)*(3*k - 2*k - 3*k) to the form s + a*k + l*k**2 + h*k**3 and give h. -45 Rearrange 78 + 5*c - 18*c - 13 + 7*c + 5*c to the form v + r*c and give r. -1 Express -g**2 + 2443*g**3 + 5*g - 2*g - 3*g - 1166*g**3 in the form s*g**2 + q*g + u + m*g**3 and give m. 1277 Express -7*j**3 + 3*j**2 - j**3 - 2*j - 19 + 21 in the form p*j**3 + k*j + x*j**2 + i and give k. -2 Express 122*h + 121*h + 4 - 243*h - 133*h**3 as v + b*h**2 + m*h**3 + l*h and give m. -133 Rearrange 5 + 1389*o**4 - 1 - 1386*o**4 + 2*o**3 - o to the form s + c*o**2 + h*o + x*o**4 + y*o**3 and give h. -1 Express 2*d**2 + 6 - 4 - 232*d**3 + 229*d**3 - 2*d**4 - 2*d as v*d + w*d**4 + o*d**2 + r*d**3 + g and give w. -2 Rearrange -g**3 + 4885*g - 4984*g + 3*g**4 - 2*g**4 + 2*g**2 - 2 - g**3 to the form c*g**4 + j + z*g**3 + h*g + n*g**2 and give z. -2 Rearrange -2*y**2 - 8*y**2 - 3*y**2 + 2*y**2 - 41*y - 1 + 37*y + 2*y**3 to g*y**3 + x + v*y**2 + h*y and give h. -4 Express (6*i - 3*i - 6*i)*(-1 + 0 + 0)*(-133 + 32*i + 133) + (0 + 0 - 3)*(i**2 + i**2 + 0*i**2) - 4*i**2 + 3*i**2 + 0*i**2 as j*i + x + g*i**2 and give j. 0 Express -1 - 11 - 3*b**2 - 7*b + 25 + 8*b in the form n*b**2 + q*b + k and give q. 1 Express -53*i**2 + 131*i**2 + 94*i**2 as q + n*i**2 + s*i and give s. 0 Express 4*r**3 + 437*r - 435*r - 4 + 2*r**2 + 4*r**3 + r**2 in the form u*r**2 + p + d*r**3 + n*r and give p. -4 Express (186 - 63 - 71)*(-2*c - 3*c + 3*c)*(3 - 2 + 1) in the form t*c + y and give t. -208 Express (-5 + 6 + 0)*(-4 + 3 - 1)*(2 - 3 + 3)*(-8*g + 12*g + 10*g) in the form w*g + d and give w. -56 Express 10*n**2 + 12*n**2 + n**2 - 3*n - 2*n**2 in the form h + f*n**2 + p*n and give f. 21 Express -6*b**2 + 29*b + b**3 - b**4 + 22*b + 0*b**3 - 53*b in the form f*b**4 + v*b**3 + r*b + u + n*b**2 and give v. 1 Rearrange -20*j**3 - 2*j - 8*j + 14*j**3 + 50*j**3 + j to w*j**3 + a*j**2 + y + o*j and give o. -9 Rearrange (0*l + l + 0*l)*(328*l - 681*l - 19 + 354*l) to the form g*l + s + x*l**2 and give g. -19 Rearrange (2*u + 2*u - 3*u + (4 + 1 - 3)*(2*u + 4*u - 5*u) + 2*u - 2*u - 6*u)*(9 + 5*u - 9)*(4*u + 0*u - 3*u) to t*u**3 + k + i*u**2 + z*u and give t. -15 Rearrange (-45*r + 40*r - 99*r)*(4 + 1 - 2)*(-3 + 0 + 5)*(5 + 3 - 5) to t + w*r and give w. -1872 Express (2647 - 2647 + 30*y**3)*(-2 - 1 + 4) - 4*y**3 + 0*y + 0*y + (-5*y - y**2 + 5*y)*(y + 0 + 0) as q*y + p*y**3 + b + g*y**2 and give q. 0 Rearrange (-3 + 6 + 6*s - 3*s)*(8*s**3 - 9*s**3 + 21*s**3) to i*s**2 + z*s**4 + n + u*s + f*s**3 and give z. 60 Express ((-2 + 1 + 2)*(7*p + 2*p - 5*p) - 2*p + 4*p - p)*(0*p + p - 8*p)*(-15*p - 225 + 225)*(-1 + 0 - 1) as v*p + n*p**2 + x*p**3 + d and give x. -1050 Rearrange (-2*l**2 - 2*l + 2*l)*(14 + 39 - 26 + 35)*(2 + 0 - 4) to c + v*l + j*l**2 and give j. 248 Express -5 - 8 + 10 + 2 - 99*h - 256*h as t*h + n and give n. -1 Rearrange c - 16 + 54*c**2 + 39 + 4*c - 23 to w + r*c**2 + m*c and give m. 5 Express -4*n + 2*n - 4*n + (-34 + 40 + 31)*((-n - 2 + 2)*(0 + 1 - 2) + n + 4*n - 4*n) in the form q*n + r and give q. 68 Express (26*j + 47*j + 93*j + (3 - 5 + 4)*(-j - 3 + 3) + 5*j - 3*j - j + (-2 + 5 - 4)*(2*j - 5*j + 2*j))*(-3*j - 2*j + 6*j) as m + r*j + b*j**2 and give b. 166 Express (-2 + 2 + i**2)*(500*i + 520*i + 2 - 1087*i) in the form f + p*i**2 + n*i + z*i**3 and give z. -67 Express 165 + 1786*j - 893*j - 890*j in the form i + p*j and give p. 3 Rearrange (d + 4*d - 2*d)*(-3*d + 11*d + 15*d + (-4 - 2 + 3)*(0 + 0 - 2*d)) to z*d + u*d**2 + s and give u. 87 Express 7 - 9*a + 6*a + 0*a in the form b + r*a and give b. 7 Express (-36 + 78 + 2*i - 19)*(3*i**3 + 2*i**3 - 4*i**3) as q*i**2 + z*i**4 + p*i**3 + o + b*i and give o. 0 Express (2*n**3 + 2*n**3 - 2*n**3)*(-51 + 13 - 105)*(1 + 2 - 2) in the form q*n + p + y*n**3 + f*n**2 and give y. -286 Rearrange 348 - 117 - 116 - 115 + 115*y to the form t*y + n and give t. 115 Rearrange -272*a**2 - 366*a**2 + 46*a**2 - 47*a**2 to g*a**2 + o*a + l and give g. -639 Rearrange 49*n - 10 - 93*n + 49*n to j*n + i and give i. -10 Express -15*l**2 - 80*l + 50*l + 31*l + 2*l**3 as m*l + w + b*l**3 + k*l**2 and give k. -15 Rearrange -1 - 246*m + 9 - 3 + 323*m to t*m + c and give c. 5 Express (5 - 5 + 29*i + (1 + 2 - 5)*(i + 3*i - 3*i) - i - 2*i - 79 + 77)*(5 - 5 + 2) as j + v*i and give v. 48 Express -15*b**2 + 13*b**2 + b**3 + 4*b**2 - 30*b**4 in the form g*b**2 + j*b + w*b**4 + i*b**3 + d and give w. -30 Rearrange -6*y + 3*y**2 + 18 + 16 - 33 - 5*y + 5*y**3 to t*y**3 + v + d*y + i*y**2 and give d. -11 Express 11*x**3 - 9*x**3 + 36*x - 25*x as p*x**3 + r*x**2 + i*x + t and give r. 0 Rearrange 6 - 2*z + 1 - 2*z**3 + z**3 + 19*z + 2*z to w*z**3 + b*z**2 + n*z + r and give w. -1 Rearrange (-138*a**2 + 138*a**2 + 6*a**3)*((1 - 1 + a)*(2 + 0 + 0) + 2 - 2 + 2*a)*(2 - 1 - 4) to the form m + h*a**4 + z*a**3 + o*a + u*a**2 and give m. 0 Express 14 + 1189*a**2 - 12 - 1 - 1 as d*a**2 + i + r*a and give r. 0 Rearrange 5 - 3 + 7 + 207*u**2 - 3 - 145*u**2 to i*u**2 + j*u + h and give i. 62 Rearrange 39*b**3 + 4 + 7*b**4 - 9*b**4 - b**2 + 44*b**3 - 71*b**3 to a*b + u*b**3 + g*b**2 + l*b**4 + z and give l. -2 Express (12*d + 14*d - d)*(d + 2*d - 4*d) + 2*d + d**2 - 2*d - d + d**2 + 2*d + 0 + 3 in the form n + y*d**2 + z*d and give y. -23 Rearrange
{ "pile_set_name": "DM Mathematics" }
+ 7 - 5) - 3*a**3 + a**3 + 4*a**3 to the form o*a + d + n*a**2 + u*a**3 and give u. -765 Rearrange (11 - 7*b + 7 - 23)*(-4 + 0 + 3) to z*b + h and give h. 5 Express 138*h - 236*h - 836*h - 1049*h - 252*h + 3 - 2*h - 3 + (-3*h + 6*h - 2*h)*(1 + 0 + 0) as s*h + c and give s. -2236 Rearrange (-1 - 3 + 1)*(100*h**4 - 14*h**2 - 27*h**4 + 15*h**2) to the form r*h**2 + s*h**4 + z*h**3 + t*h + p and give s. -219 Rearrange 235 - 233 - 6*y - 100*y to k*y + t and give t. 2 Rearrange -160*f - 6 + 15 + 117*f to h + z*f and give h. 9 Express -8*y**2 - 2*y - 4*y**3 + 9*y**2 - 3 + 3*y**3 - 7*y**2 + 8 in the form o*y**3 + h*y**2 + l + c*y and give o. -1 Express (13 - 13 - 15*k)*(-52 - 50 + 99 - 2*k) in the form g*k + l*k**2 + s and give l. 30 Express (p + 2*p - p)*(-470*p + 171*p - 667*p) + 0*p**2 - 2*p**2 + 3*p**2 + (0*p - 4*p + 2*p)*(-2*p + 0*p + 3*p) in the form z + m*p**2 + u*p and give m. -1933 Express -441*q - 447*q - 516*q + 1231*q in the form z + p*q and give p. -173 Express -96*f + 621*f**2 + 48*f - 1556*f**2 + 48*f in the form l + s*f + m*f**2 and give m. -935 Rearrange (91*q - 134*q - 127*q)*(3 - 5 + 0 + (-1 + 1 + 2)*(5 - 4 + 1) + 2 + 3 - 3 + 2 - 4 + 1 + 5 + 1 - 3) to the form r + y*q and give y. -1020 Express -11*t**4 + 20*t**4 + 4*t + 13*t**4 - 1489*t**3 + 1487*t**3 in the form y*t + u*t**2 + g*t**4 + s + n*t**3 and give g. 22 Express 2*a**4 + 2*a + 3 + 66*a**2 - 4 - 60*a**2 + 2*a as u + v*a**2 + d*a**4 + p*a + q*a**3 and give u. -1 Rearrange 3 - 3 - 3*y**2 + (-3 + 2*y + 3)*(y + 2*y - 2*y) + 0*y**2 - 5*y**2 + 4*y**2 + 3*y**2 - 4*y**2 - 11*y - 2*y**2 to p + h*y + z*y**2 and give z. -5 Rearrange -d**4 + 2*d**3 - 2*d**3 + (-d**2 - 1 + 1)*(1297*d**2 - 2657*d**2 + 1273*d**2) to w*d**2 + a*d + q*d**4 + x + p*d**3 and give q. 86 Express (2*n**3 + 0*n**3 + 0*n**3)*(22 - 3 + 21 + 35)*(-n - 9*n - 10*n) as r*n**3 + b*n**2 + u*n**4 + j + x*n and give u. -3000 Express (-1 - 10 - 3)*(1 + 2 + 4 + 1 - 5 + 5 + (2 + 1 - 5)*(0 + 4 - 2))*(-p + 4 - 4) in the form a*p + b and give b. 0 Rearrange 13898 - 13898 + 254*q**2 to the form z + r*q + a*q**2 and give a. 254 Express 26*l**3 - 33*l**3 - 35*l**3 + (11*l - 4*l**2 - 11*l)*(0*l + 4*l - 2*l) - l**3 - 1 + 1 - 3 as a*l**2 + n*l**3 + s + c*l and give n. -51 Rearrange 2 - 2 + 98*f - 354*f to x + p*f and give p. -256 Express (-3*v**3 + 3*v**3 - 2*v**3)*(-32 + 15 + 9) as j*v + n*v**3 + f*v**2 + b and give n. 16 Rearrange (-5 - 5415*n + 4 + 5420*n - 2*n**2)*(9 - 4 + 7) to the form k*n**2 + z*n + d and give d. -12 Express 61*h + 2 - 3 - 30*h - 32*h + 3*h**2 as b + o*h + w*h**2 and give b. -1 Express -198*o**2 - 302*o**2 + 175*o**2 as u*o + h*o**2 + r and give u. 0 Rearrange 20*o**2 - o**2 + 9*o**2 + 0*o + 0*o - o**2 + (-o - 2 + 2)*(-2*o + 2 - 2) - 5*o + 5*o + o**2 - 1 - 3*o**2 + 4*o**2 + 3 to q + x*o**2 + b*o and give x. 31 Rearrange v - 34*v**2 - 11*v**4 - 41*v**2 + 77*v**2 + 10*v**4 + v + 2 to the form d*v + y + p*v**2 + i*v**4 + r*v**3 and give y. 2 Express -13 - 158*o - 85*o - 14 + 47 - 17 in the form u*o + n and give u. -243 Express (-5*x + 3*x - 3*x)*(1 - 1 - x - 4 + 4 + 2*x + (-3 - 2 + 3)*(3*x - 6*x + 2*x) - 11*x - 68*x - 66*x) in the form s*x + q + z*x**2 and give z. 710 Express (2*f - 2*f + 5*f)*(64*f**2 - 154*f**2 - 262*f**2) as d + r*f**3 + c*f + b*f**2 and give r. -1760 Express (4 - 2*h - 4)*(1 - 5 - 14) + (1 - 2 + 2)*(-5 + 5 - 2*h) - 8*h + 5*h - 6*h - 5*h + 3*h + 4*h in the form x*h + r and give x. 27 Rearrange -70 - 19*d + 96 - d**3 - 27 + 2*d**2 to the form g*d**2 + s*d + v + u*d**3 and give g. 2 Express (0*n + 3*n - 2*n + 4*n - n - n - 4 + 4 - 2*n + (4 - 4 - 2)*(n + 0*n + n) + 2*n - n + 4*n + 6*n + 0*n - 3*n)*(-3 - 2 - 3) in the form s + z*n and give s. 0 Express (3 + 2 - 3)*(-j + 6*j - 3*j) + 108*j - 302*j + 59*j in the form v*j + g and give v. -131 Rearrange (-3*h**4 + h**4 + h**4)*((175 + 32 - 92)*(2 + 5 - 4) - 4 - 3 + 6) to the form i*h**4 + l*h + p + r*h**2 + j*h**3 and give i. -344 Rearrange v**2 - 8*v - 12*v**2 + 18*v**2 to d*v + k*v**2 + j and give k. 7 Rearrange (-r + 4*r - 2*r)*(-558 - 609 - 875) to the form h + v*r and give v. -2042 Rearrange -29*m**3 + 3*m**2 + 192*m - 191*m + 32*m**3 + (-2*m + 0*m + 0*m)*(-3*m**2 + 5*m**2 + 0*m**2) to the form f + v*m**2 + n*m + l*m**3 and give n. 1 Express -3*u - 3*u + 11*u - 8 + (0*u + 4*u - 6*u)*(1 + 1 + 0) in the form w + o*u and give w. -8 Express -89 - s**2 + s - 2*s**2 - 2*s + s**3 + 5*s**2 - s as y + p*s**2 + b*s + n*s**3 and give n. 1 Express (3*m - 4*m + 2*m + (2*m + 4*m - 5*m)*(-2 - 1 + 4))*(-14 + 8 + 8) as k + i*m and give i. 4 Rearrange 49 - 49 - 11*q + (-q + 4*q + 2*q)*(-6 + 3 - 6) to x + c*q and give c. -56 Express 0*n - n**3 - 848*n**2 + 851*n**2 - 4 + 0*n in the form d*n + j*n**2 + o*n**3 + r and give j. 3 Rearrange 19368*s**3 - 9*s**2 - 19362*s**3 + 56*s**2 to f + j*s**3 + p*s + d*s**2 and give d. 47 Express 0*k**4 - k**4 - k**4 + (-2*k**3 + 4*k**3 - k**3)*(-5 - 10*k + 5) - 3*k**4 + 13*k**2 - 13*k**2 as p*k**2 + a*k + u + i*k**4 + m*k**3 and give i. -15 Express 4*z - 9*z + 6 + 0*z - 25*z - 6*z in the form c + x*z and give x. -36 Express -382 - 464 - 4*q + 868 + 1 - q - 1 - 2*q + 4*q - 4*q + 2*q - 3 + 3 + (1 + 3 - 3)*(3*q + 0*q - q) + 2*q - 3 + 3 as b + c*q and give b. 22 Rearrange 10*z**2 - 54*z - 17*z + 0*z**2 to u + n*z + k*z**2 and give n. -71 Rearrange -35*i**3 + 190 - 26*i**3 + 59*i**3 to the form g + w*i**3 + p*i**2 + d*i and give w. -2 Express (0*v - 3*v**2 + 0*v)*(4*v - 3*v + v)*(-7 + 7 + 14*v) + 0*v**4 - 2*v**4 + 0*v**4 as p*v**3 + j*v**2 + m*v**4 + h*v + a and give m. -86 Rearrange -20*p**2 - 18*p**4 + p + 2 + 42*p**2 + 6*p**3 - 2*p**3 - 6*p**3 - 20*p**2 to the form u*p**3 + l*p + z*p**4 + i + n*p**2 and give z. -18 Express -22*a**2 + 15*a**2 + 2 - a**3 + 8*a**2 - 2*a + 2*a**3 as p*a + n*a**2 + m*a**3 + i and give m. 1 Express (-4*a + 2*a + 3*a)*(-53 + 13 - 10)*(-12 + 9 - 7) in the form x*a + k and give x. 500 Rearrange (-2 + 1 + 0)*(-345*h + 262*h - 664*h) to s + w*h and give w. 747 Express 2*m**2 + 74 - 36 - 39 - 43*m + 88*m as c*m + i + k*m**2 and give c. 45 Express b + 13 - 8*b**3 - 6*b**3 - 18 + 4*b**3 as f*b**2 + r*b + w*b**3 + u and give u. -5 Rearrange (1267 - 1267 - 2056*o)*(o**3 - o**3 - o**3) to the form b*o + t*o**2 + h + a*o**4 + f*o**3 and give a. 2056 Rearrange (2 - 4*o**2 - 2)*(4 - 5*o - 4) - 1 + 0 - 2 - 2*o**3 - 2*o - 3*o**3 + 3*o**3 + o**3 to r*o**3 + l + p*o + k*o**2 and give r. 19 Express -11*s + 9 - 3 - 1 + 0*s as k + q*s and give q. -11 Express -14921 - 43*z**2 - 14915 + 29843 as v + f*z + s*z**2 and give v. 7 Rearrange q + 9*q**2 + 6*q**2 + 22*q**3 - 13*q**2 - 21*q**4 - 21*q**3 to the form u*q + p + l*q**3 + k*q**2 + j*q**4 and give l. 1 Rearrange -v - 144*v**2 + 5*v - 63*v**3 - 3*v - 63*v**3 + 123*v**3 to q*v**2 + l*v**3 + f*v + p and give l. -3 Express (742*d**2 - 1028*d**2 - 605*d**2)*(4 - 2 - 7)*(2*d - 3*d - d) as c + j*d**2 + t*d**3 + f*d and give t. -8910 Rearrange 18 + 11 + 4*k**4 - 620*k + 618*k - k**3 to the form v + c*k**3 + t*k + x*k**4 + u*k**2 and give v. 29 Express (15*v**3 - 5*v**3 + 6*v**3)*(1494 - 69*v - 1494) in the form t*v**4 + o*v**2 + n*v**3 + x*v + w and give t. -1104 Rearrange (3*v - 4*v + 0*v)*(-58 + 42 + 72) - 3*v + 9*v + 10*v + 1 to p*v + d and give p. -40 Rearrange (-2*b**2 + 4*b**2 - b**2)*(0 + 0 - 2*b) - 4*b**3 + b - b + 2 + b - 3*b + 122*b**3 - 125*b**3 to the form h*b**3 + n*b + r + w*b**2 and give h. -9 Express -625*p + 313*p + 209*p**3 + 312*p + 3 in the form r*p**2 + j*p + v*p**3 + a and give v. 209 Rearrange 721*u - 144*u + 272*u + 946*u - 226*u to the form a*u + m and give a. 1569 Rearrange (-y**2 + 4*y**2 - y**2)*(2044 + 2205 - 3968) to a*y + q*y**2 + o and give q. 562 Rearrange (23 - 35*l - 13 - 10)*(0*l**2 - 4*l**2 + 2*l**2) + 11*l**3 + 10*l**3 - 4*l**3 to the form v*l**2 + a*l**3 + h*l + r and give a. 87 Express (0 + 0 - h + (5 - 12 - 5)*(-4*h + 4*h + 3*h))*(2*h**3 + 0*h**3 + h**3) as v*h**3 + r*h**4 + k + c*h + i*h**2 and give r. -111 Rearrange -10*t**2 - 471*t - 478*t - t**2 + 935*t to the form u*t + w*t**2 + q and give u. -14 Rearrange -165*f**2 - 3 - 191*f + 191*f to k*f**2 + o*f + p and give k. -165 Express (-3*k + 2 - 2*k + 4*k + (9 + 0 - 8)*(-41 - 14*k + 41))*(-2*k - 2*k**3 + 2*k) - 2*k**4 + k**4 + 0*k**4 as p + u*k**3 + z*k**2 + r*k + a*k**4 and give u. -4 Expre
{ "pile_set_name": "DM Mathematics" }
-12, -33, -88, -183? -u**3 - 5*u**2 + 51*u - 93 What is the t'th term of 332, 959, 1596, 2249, 2924, 3627, 4364? t**3 - t**2 + 623*t - 291 What is the a'th term of 4066, 8541, 13030, 17539, 22074? a**3 + a**2 + 4465*a - 401 What is the o'th term of -465, -1168, -2339, -3978, -6085? -234*o**2 - o - 230 What is the o'th term of 213, 240, 275, 318? 4*o**2 + 15*o + 194 What is the z'th term of 1478, 1509, 1590, 1745, 1998, 2373, 2894? 4*z**3 + z**2 + 1473 What is the z'th term of -11651, -46616, -104875, -186416, -291227, -419296, -570611? 2*z**3 - 11659*z**2 - 2*z + 8 What is the v'th term of 391, 1546, 3471, 6166, 9631, 13866? 385*v**2 + 6 What is the d'th term of 62, 81, 104, 131, 162, 197? 2*d**2 + 13*d + 47 What is the m'th term of 5182, 5185, 5188, 5191, 5194, 5197? 3*m + 5179 What is the f'th term of 3963, 15881, 35773, 63663, 99575, 143533? 4*f**3 + 3963*f**2 + f - 5 What is the w'th term of -768, -1549, -2320, -3081, -3832, -4573, -5304? 5*w**2 - 796*w + 23 What is the v'th term of -126, -450, -958, -1650, -2526? -92*v**2 - 48*v + 14 What is the f'th term of -469, -640, -1101, -1996, -3469, -5664, -8725, -12796? -24*f**3 - f**2 - 444 What is the c'th term of 631, 5584, 19433, 46756, 92131, 160136? 763*c**3 - 130*c**2 + 2*c - 4 What is the s'th term of 645050, 1290106, 1935162, 2580218, 3225274, 3870330? 645056*s - 6 What is the b'th term of 27140, 54291, 81440, 108587? -b**2 + 27154*b - 13 What is the a'th term of -49, -60, -63, -58, -45, -24? 4*a**2 - 23*a - 30 What is the p'th term of -135, -254, -383, -522, -671, -830? -5*p**2 - 104*p - 26 What is the n'th term of -104, -331, -674, -1133, -1708, -2399, -3206? -58*n**2 - 53*n + 7 What is the v'th term of -1842, -1833, -1824, -1815, -1806, -1797? 9*v - 1851 What is the h'th term of 5739, 5732, 5719, 5700, 5675, 5644? -3*h**2 + 2*h + 5740 What is the t'th term of 67475, 67489, 67497, 67499, 67495? -3*t**2 + 23*t + 67455 What is the i'th term of -1718, -1770, -1820, -1868, -1914, -1958, -2000? i**2 - 55*i - 1664 What is the b'th term of -4311, -4321, -4331, -4341, -4351? -10*b - 4301 What is the t'th term of 701948, 701949, 701950, 701951? t + 701947 What is the c'th term of -2193, -2216, -2251, -2304, -2381? -c**3 - 16*c - 2176 What is the g'th term of -336, -681, -1026, -1365, -1692? g**3 - 6*g**2 - 334*g + 3 What is the t'th term of -306, -281, -244, -201, -158? -t**3 + 12*t**2 - 4*t - 313 What is the h'th term of -8846, -17700, -26554? -8854*h + 8 What is the o'th term of 3986, 7969, 11952, 15935, 19918, 23901? 3983*o + 3 What is the s'th term of 280, 272, 262, 250, 236, 220? -s**2 - 5*s + 286 What is the l'th term of 9, -41, -67, -69, -47, -1? 12*l**2 - 86*l + 83 What is the t'th term of -261, -522, -785, -1056, -1341? -t**3 + 5*t**2 - 269*t + 4 What is the l'th term of 11661, 11281, 10253, 8253, 4957, 41, -6819? -54*l**3 - 2*l + 11717 What is the q'th term of 13963, 28054, 42145? 14091*q - 128 What is the v'th term of -89, 6, 187, 472, 879, 1426? 3*v**3 + 25*v**2 - v - 116 What is the u'th term of -59790, -119579, -179368? -59789*u - 1 What is the g'th term of 444238, 888476, 1332714, 1776952, 2221190? 444238*g What is the y'th term of -4566, -9131, -13696, -18261, -22826? -4565*y - 1 What is the u'th term of 123, 118, -29, -390, -1037, -2042, -3477, -5414? -12*u**3 + u**2 + 76*u + 58 What is the c'th term of 10213, 20390, 30565, 40738? -c**2 + 10180*c + 34 What is the c'th term of -904, -458, -12, 434, 880? 446*c - 1350 What is the u'th term of 819, 1624, 2425, 3222, 4015, 4804, 5589? -2*u**2 + 811*u + 10 What is the m'th term of 10498, 20917, 31250, 41497? -43*m**2 + 10548*m - 7 What is the h'th term of -64, -141, -208, -259, -288, -289? h**3 - h**2 - 81*h + 17 What is the i'th term of -440822, -881650, -1322478, -1763306? -440828*i + 6 What is the v'th term of -54, -124, -212, -306, -394, -464, -504, -502? 2*v**3 - 21*v**2 - 21*v - 14 What is the i'th term of 51301, 205190, 461663, 820714, 1282337, 1846526? -i**3 + 51298*i**2 + 2*i + 2 What is the f'th term of -92, -355, -628, -917, -1228, -1567? -f**3 + f**2 - 259*f + 167 What is the c'th term of -3664, -5544, -7424, -9304, -11184, -13064? -1880*c - 1784 What is the p'th term of 1505, 1237, 969? -268*p + 1773 What is the a'th term of -862625, -1725250, -2587875? -862625*a What is the c'th term of 620504, 1241010, 1861516, 2482022? 620506*c - 2 What is the o'th term of -125514, -125516, -125518, -125520? -2*o - 125512 What is the u'th term of 648, 699, 718, 699, 636, 523, 354, 123? -u**3 - 10*u**2 + 88*u + 571 What is the n'th term of -1695, -1699, -1697, -1683, -1651, -1595, -1509, -1387? n**3 - 3*n**2 - 2*n - 1691 What is the j'th term of 121631, 243262, 364893, 486524? 121631*j What is the c'th term of -83319, -166640, -249961, -333282? -83321*c + 2 What is the u'th term of -90349, -90341, -90329, -90313? 2*u**2 + 2*u - 90353 What is the f'th term of 389, 1516, 3379, 5966, 9265, 13264, 17951? -2*f**3 + 380*f**2 + f + 10 What is the c'th term of -620, -2464, -5536, -9842, -15388, -22180, -30224? -c**3 - 608*c**2 - 13*c + 2 What is the s'th term of 4419, 17623, 39611, 70383, 109939? 4392*s**2 + 28*s - 1 What is the u'th term of -134, -737, -2362, -5519, -10718? -85*u**3 - u**2 - 5*u - 43 What is the q'th term of 79564, 79568, 79572, 79576, 79580, 79584? 4*q + 79560 What is the c'th term of 7799, 7803, 7807, 7811? 4*c + 7795 What is the i'th term of -235, -1587, -5253, -12391, -24159, -41715, -66217? -193*i**3 + i**2 - 4*i - 39 What is the i'th term of -6361, -6354, -6347, -6340? 7*i - 6368 What is the a'th term of -19884, -19849, -19814, -19779, -19744, -19709? 35*a - 19919 What is the m'th term of 2160, 2185, 2268, 2439, 2728, 3165, 3780, 4603? 5*m**3 - m**2 - 7*m + 2163 What is the v'th term of -1928, -3741, -5554, -7367, -9180? -1813*v - 115 What is the q'th term of -3667, -7369, -11081, -14809, -18559, -22337? -q**3 + q**2 - 3698*q + 31 What is the z'th term of -111, -192, -247, -276? 13*z**2 - 120*z - 4 What is the i'th term of 62, 119, 176? 57*i + 5 What is the g'th term of -80681, -161360, -242039, -322718, -403397? -80679*g - 2 What is the b'th term of 12118, 24277, 36436, 48595? 12159*b - 41 What is the s'th term of 150031, 150049, 150067, 150085? 18*s + 150013 What is the q'th term of -319, -1262, -2843, -5068, -7943? -q**3 - 313*q**2 + 3*q - 8 What is the n'th term of 39, 347, 857, 1569, 2483? 101*n**2 + 5*n - 67 What is the f'th term of 199, 780, 1741, 3082, 4803? 190*f**2 + 11*f - 2 What is the b'th term of -99, -221, -397, -627? -27*b**2 - 41*b - 31 What is the i'th term of -83, -133, -193, -263, -343, -433? -5*i**2 - 35*i - 43 What is the d'th term of 326, 96, -134, -364? -230*d + 556 What is the n'th term of -31419, -31416, -31413? 3*n - 31422 What is the j'th term of 589, 532, 467, 394, 313, 224? -4*j**2 - 45*j + 638 What is the u'th term of -752, -2242, -3732, -5222? -1490*u + 738 What is the n'th term of -3378, -13503, -30374, -53991, -84354? -3373*n**2 - 6*n + 1 What is the y'th term of 5572, 5565, 5554, 5539, 5520? -2*y**2 - y + 5575 What is the o'th term of 16495, 16538, 16613, 16726, 16883, 17090? o**3 + 10*o**2 + 6*o + 16478 What is the p'th term of -11661, -46652, -104985, -186672, -291725, -420156, -571977, -747200? -2*p**3 - 11659*p**2 What is the c'th term of 284, 2859, 7152, 13163, 20892, 30339? 859*c**2 - 2*c - 573 What is the t'th term of -4171, -6805, -9439, -12073, -14707? -2634*t - 1537 What is the k'th term of 2606, 3992, 7746, 15050, 27086, 45036, 70082, 103406? 197*k**3 + 2*k**2 + k + 2406 What is the r'th term of 466, 606, 746, 886, 1026? 140*r + 326 What is the p'th term of -2317, -4642, -6967, -9292? -2325*p + 8 What is the z'th term of -5, -66, -207, -440, -777, -1230, -1811? -2*z**3 - 28*z**2 + 37*z - 12 What is the a'th term of -799, -3785, -8961, -16327? -1095*a**2 + 299*a - 3 What is the c'th term of 171, 2228, 7799, 18636, 36491, 63116, 100263, 149684? 292*c**3 + 5*c**2 - 2*c - 124 What is the h'th term of -609, -2157, -6357, -14535, -28017, -48129? -221*h**3 - h - 387 What is the n'th term of -487, -1808, -4009, -7090, -11051, -15892, -21613? -440*n**2 - n - 46 What is the x'th term of 21753, 43505, 65255, 87003, 108749, 130493, 152235? -x**2 + 21755*x - 1 What is the n'th term
{ "pile_set_name": "DM Mathematics" }
qrt(22) + sqrt(22))*-6)/(sqrt(200)/sqrt(4)))**2. 6336/25 Simplify 1 + ((sqrt(13) + sqrt(13)*2 + sqrt(13))*-1 - sqrt(13) - (sqrt(13) + 0)*-3)**2. 53 Simplify (3 + (sqrt(13) - sqrt(52)/sqrt(4)))*1 + sqrt(117)/((sqrt(36) + (sqrt(36) + sqrt(144) - sqrt(36)))/sqrt(4) + sqrt(9)). sqrt(13)/4 + 3 Simplify -3 + 4 + (sqrt(208) - sqrt(208)*2)*-2. 1 + 8*sqrt(13) Simplify -6*((sqrt(5) - (sqrt(5) + sqrt(5) + 1)*-3) + 3 + -1*sqrt(5))**2. -1296 - 432*sqrt(5) Simplify (sqrt(12)/(sqrt(36)/sqrt(9)))**2*5. 15 Simplify (sqrt(240)*-2)/(sqrt(192)*-1 + sqrt(12)). 4*sqrt(5)/3 Simplify 6*sqrt(228)/(sqrt(36)/(sqrt(3) + sqrt(6)/sqrt(2))). 12*sqrt(19) Simplify (-1*(1 + sqrt(7) + 3))**2*-3. -69 - 24*sqrt(7) Simplify (4*sqrt(78)*-2)/(sqrt(486)*-1). 8*sqrt(13)/9 Simplify (sqrt(110)/((sqrt(80)*2)/sqrt(8)))**2. 11/4 Simplify (sqrt(143) - (sqrt(143) - (sqrt(143) - 1*sqrt(143)*6)))/(sqrt(99)*-1). 5*sqrt(13)/3 Simplify (1 + (sqrt(304) - (sqrt(304) - -2*sqrt(304))))**2 + (0 + sqrt(57)/sqrt(3) - (sqrt(19) - (sqrt(171) + -4))). -13*sqrt(19) + 1213 Simplify (sqrt(847) + sqrt(847) + 0 + 2 - ((-1*sqrt(84))/sqrt(12) + -3))**2. 230*sqrt(7) + 3728 Simplify -2*(sqrt(15)/sqrt(3) + 4). -8 - 2*sqrt(5) Simplify (5 + sqrt(2448) + 1)*4*3. 72 + 144*sqrt(17) Simplify sqrt(130)/((sqrt(40) - sqrt(10))*2). sqrt(13)/2 Simplify 4*(((sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99)*1 - sqrt(99)))) + sqrt(99))/sqrt(9))**2 + -1)*2. 344 Simplify (1 + 1 + sqrt(180))**2. 24*sqrt(5) + 184 Simplify (sqrt(102)/sqrt(6)*1 - sqrt(17))**2 + sqrt(612)*-2. -12*sqrt(17) Simplify 3 + -5*(sqrt(288) - -1*sqrt(288) - sqrt(288)) + 1. -60*sqrt(2) + 4 Simplify (sqrt(125) + 5*sqrt(125)*1 - ((sqrt(125)*-2 - sqrt(125)) + sqrt(125))*-3)**2. 0 Simplify (sqrt(605) + sqrt(605) + -1 + sqrt(605) + -1 + sqrt(605) + sqrt(605))**2. -220*sqrt(5) + 15129 Simplify (sqrt(5) + 0)*-2 + -5. -5 - 2*sqrt(5) Simplify (-2*-3*sqrt(63))/(sqrt(576)*3 + sqrt(576) - sqrt(9)). 6*sqrt(7)/31 Simplify (-5*(sqrt(153)/sqrt(3) + sqrt(51)))/(sqrt(75)*-1). 2*sqrt(17) Simplify sqrt(468) + 4. 4 + 6*sqrt(13) Simplify -6*(0 + sqrt(1700)). -60*sqrt(17) Simplify (sqrt(114) + (sqrt(114) - (sqrt(114) - -4*(sqrt(114) - (sqrt(114)*-2 + sqrt(114))))) + sqrt(114) - sqrt(114))/sqrt(6). -7*sqrt(19) Simplify (sqrt(891) + 2 + sqrt(891) + sqrt(891) + -2 + sqrt(891) - sqrt(891))**2. 8019 Simplify (-3*(2 + sqrt(11)))**2 + (sqrt(11)*3)**2 + -4. 36*sqrt(11) + 230 Simplify ((sqrt(1539) + 1 + sqrt(1539))**2 + 2)*-2. -12318 - 72*sqrt(19) Simplify (-2 + sqrt(832))**2 - (sqrt(1573) - sqrt(1573)*-2). -65*sqrt(13) + 836 Simplify 0 + sqrt(99)/(sqrt(9) - sqrt(1296)*-1 - sqrt(9)). sqrt(11)/12 Simplify sqrt(63)*-1 - (sqrt(700) + -1). -13*sqrt(7) + 1 Simplify 0 + 1 + sqrt(80) + 3. 4 + 4*sqrt(5) Simplify (sqrt(216)/(sqrt(8)*-3))/(-6*sqrt(54)/sqrt(6)). sqrt(3)/18 Simplify 3*(sqrt(42)/sqrt(54)*5 + 1). 3 + 5*sqrt(7) Simplify -5 + (((sqrt(76))**2 - sqrt(19) - sqrt(19)) + 1)*-6. -467 + 12*sqrt(19) Simplify (4*(2 + sqrt(468))*1)**2. 384*sqrt(13) + 7552 Simplify (sqrt(833)*2 + sqrt(833))**2 + 5 - ((sqrt(1700) + sqrt(1700)*1)**2 + 2). 700 Simplify (5 + -1*sqrt(605))**2. -110*sqrt(5) + 630 Simplify (sqrt(13) - sqrt(39)/sqrt(3)) + 1 + sqrt(13) + sqrt(52)*6. 1 + 13*sqrt(13) Simplify 2 + -4 + (sqrt(175) + 0)**2. 173 Simplify (-3 + -1 + sqrt(11) + sqrt(11) + 3*sqrt(22)/sqrt(2))**2 - ((sqrt(66) + 1*sqrt(66) + sqrt(66))*4 + sqrt(66))/sqrt(6). -53*sqrt(11) + 291 Simplify (sqrt(125))**2*5 + (2*sqrt(5))**2 + -3. 642 Simplify (sqrt(187) - (sqrt(187) - (sqrt(187) + (1*sqrt(187) - sqrt(187)))*-4) - sqrt(187) - sqrt(187))/((sqrt(44)*-1)/sqrt(4)). 6*sqrt(17) Simplify sqrt(76)/sqrt(4) + 3 + (sqrt(931)*4)**2. sqrt(19) + 14899 Simplify (2*sqrt(72) + -2)**2. -48*sqrt(2) + 292 Simplify (sqrt(104)/sqrt(4)*5)/(1*sqrt(2)*-2). -5*sqrt(13)/2 Simplify sqrt(1200) - sqrt(36)/(sqrt(6)/sqrt(2)). 18*sqrt(3) Simplify -4*(sqrt(1377) + 1)**2. -5512 - 72*sqrt(17) Simplify (2 + sqrt(17) + (sqrt(153)/(2*sqrt(9)))**2)*-5. -125/4 - 5*sqrt(17) Simplify (-1*sqrt(539)*1)**2. 539 Simplify (-3*((sqrt(3) - (-1 + sqrt(3))) + sqrt(3)))**2 + (sqrt(147) - ((0 + sqrt(147) - sqrt(147))**2 + sqrt(147))) + 1. 18*sqrt(3) + 37 Simplify 1 + sqrt(99) - ((5*(sqrt(11) + 1))**2 - sqrt(11)). -299 - 46*sqrt(11) Simplify sqrt(1331) + 0 - sqrt(704)*6. -37*sqrt(11) Simplify (-2*sqrt(275)/sqrt(5))/sqrt(5). -2*sqrt(11) Simplify 3 + sqrt(117) + 0. 3 + 3*sqrt(13) Simplify (2 + sqrt(1539) - sqrt(1539))*-5 + 2. -8 Simplify (-2 + (-3 + sqrt(1300) + 1 - ((sqrt(1300) + 1 - sqrt(1300))*2 + sqrt(1300))))**2. 36 Simplify 5*(-3 + (-1*sqrt(396) - sqrt(396)) + 1). -60*sqrt(11) - 10 Simplify sqrt(6)/(3*sqrt(432)). sqrt(2)/36 Simplify (-1 + 1*sqrt(44)*3)**2. -12*sqrt(11) + 397 Simplify (sqrt(11) + -1 + sqrt(11) + 5 - (1*sqrt(77))/sqrt(7))**2. 8*sqrt(11) + 27 Simplify (5 + 1 + sqrt(275))**2*4. 240*sqrt(11) + 1244 Simplify -5*-5*sqrt(7)*-2 - (sqrt(252)*-2 - (sqrt(7) - sqrt(42)/(sqrt(6)*2))**2). -38*sqrt(7) + 7/4 Simplify ((-1 + sqrt(200))*5)**2*-4. -20100 + 2000*sqrt(2) Simplify (-5 + sqrt(19) + 1 + sqrt(19))*-6. -12*sqrt(19) + 24 Simplify (sqrt(784)*1 - sqrt(49))/(sqrt(343)*1). 3*sqrt(7)/7 Simplify (sqrt(9)/sqrt(3)*6 - sqrt(3)) + ((1 + sqrt(147))**2 - sqrt(147)). 12*sqrt(3) + 148 Simplify 1 + sqrt(52)/((sqrt(24) - 4*sqrt(24))/sqrt(6)). -sqrt(13)/3 + 1 Simplify sqrt(2057) + 0 + (sqrt(51)/(sqrt(3)*-2) - sqrt(17)). 19*sqrt(17)/2 Simplify 4*((sqrt(931) - -2*sqrt(931))**2 - sqrt(931)). -28*sqrt(19) + 33516 Simplify (sqrt(170)/sqrt(45))/sqrt(2). sqrt(17)/3 Simplify -2 + (sqrt(1331) + -2)*4. -10 + 44*sqrt(11) Simplify -3*2*(sqrt(2) + 0). -6*sqrt(2) Simplify sqrt(3) + sqrt(27)/(sqrt(36)/sqrt(4) + sqrt(9)) + ((sqrt(105)/sqrt(7))/sqrt(5) - sqrt(3))**2. 3*sqrt(3)/2 Simplify (sqrt(110)/sqrt(40) - (-1 + sqrt(99) - sqrt(11)))**2. -3*sqrt(11) + 103/4 Simplify 1 + (sqrt(2448) + 1 + 4 - sqrt(2448)). 6 Simplify (0 + sqrt(2448) + 1 - (sqrt(2448) - (-5 + 0 + sqrt(2448))))**2. -96*sqrt(17) + 2464 Simplify sqrt(242) - -6*(sqrt(242) + 0). 77*sqrt(2) Simplify 2 + (-4 + sqrt(448))*-6. -48*sqrt(7) + 26 Simplify 6*(sqrt(35) + sqrt(35) + sqrt(105)/sqrt(3))/sqrt(7)*6. 108*sqrt(5) Simplify sqrt(34)/(sqrt(8)/(1*sqrt(4)))*-4. -4*sqrt(17) Simplify (((sqrt(77) - -1*sqrt(77))*6 - sqrt(77)) + sqrt(77))/(sqrt(22)/sqrt(50)). 60*sqrt(7) Simplify (-5 + sqrt(52)/(sqrt(4) + sqrt(4)*2) + (sqrt(13) - (sqrt(1573)*-2 - sqrt(1573))))*4. -20 + 412*sqrt(13)/3 Simplify ((-2*sqrt(2) + -1)*-4*4)**2*-4. -9216 - 4096*sqrt(2) Simplify (sqrt(425) + -1*sqrt(425) + 1 + 2)**2*-6. -54 Simplify (-4 + (2 + sqrt(325))*3)**2. 60*sqrt(13) + 2929 Simplify (3 + (sqrt(832) + (sqrt(832) - (2*sqrt(832) + sqrt(832) - sqrt(832)))*2)*2)**2. -96*sqrt(13) + 3337 Simplify (sqrt(88)*1)/sqrt(2). 2*sqrt(11) Simplify (-2 + sqrt(1584)*1 + -2 + sqrt(1584) + 4)**2. 6336 Simplify (sqrt(13) + sqrt(117)*-1 - sqrt(13))*-1. 3*sqrt(13) Simplify ((sqrt(175) + 1 + sqrt(7))*6)**2 + -1. 432*sqrt(7) + 9107 Simplify (sqrt(75)*-2)**2*1. 300 Simplify (-2 + sqrt(1053)*3)**2 - (sqrt(1053) - ((sqrt(1053) + -1)*-3)**2). -279*sqrt(13) + 18967 Simplify -1*sqrt(68)*-1 + sqrt(68). 4*sqrt(17) Simplify (sqrt(20) + 4*sqrt(20)*-1)/((2*sqrt(44))/sqrt(11)). -3*sqrt(5)/2 Simplify -4 + sqrt(52) - sqrt(52) - (sqrt(65)/sqrt(5) + sqrt(13) + 2). -2*sqrt(13) - 6 Simplify (sqrt(44)/(sqrt(32)/(sqrt(8) - sqrt(8)*1 - sqrt(8))))**2. 11 Simplify sqrt(684) + -2 - (sqrt(19) + -2 + sqrt(19) + sqrt(19) + -2). 2 + 3*sqrt(19) Simplify (sqrt(68) + (sqrt(68) + sqrt(68)*-3 - sqrt(68)))/sqrt(4) - sqrt(34)/(sqrt(32) - sqrt(2)). -7*sqrt(17)/3 Simplify sqrt(2448)*3 + 3. 3 + 36*sqrt(17) Simplify (0 + sqrt(567)*2 + 3 + sqrt(567))*3. 9 + 81*sqrt(7) Simplify (-4*(sqrt(539) + 0)*-6)**2. 310464 Simplify (sqrt(110)/sqrt(2)*-4)/sqrt(11) + -3 + 5. -4*sqrt(5) + 2 Simplify -2 + ((-5 + sqrt(1216))*5)**2. -2000*sqrt(19) + 31023 Simplify sqrt(19) - ((sqrt(19) - sqrt(171) - sqrt(19))*-4)**2 - sqrt(19) - (3 + 1*sqrt(19))**2. -2764 - 6*sqrt(19) Simplify (sqrt(1872)*-2*3 + sqrt(1872) - (-3 + -1 + sqrt(1872)))**2. -576*sqrt(13) + 67408 Simplify (sqrt(133) + sqrt(133) + 2*sqrt(133)*2 + sqrt(133) + sqrt(133) + sqrt(133))/(sqrt(70)/sqrt(250)). 45*sqrt(19) Simplify (2*sqrt(15))/sqrt(3) - (-3 + -2 + sqrt(5)). sqrt(5) + 5 Simplify (sqrt(605) + -3 + 2 + (sqrt(5) + -2 + sqrt(5) - sqrt(5)))**2. -72*sqrt(5) + 729 Simplify (-1*sqrt(13)*-3 + -4)**
{ "pile_set_name": "DM Mathematics" }
- 49*g**3/2 - 107*g**2/2 + 9289*g/2 + 4674 = 0. -41, -19, -1, 12 Suppose 2*a**2/9 - 248*a/3 + 6806 = 0. What is a? 123, 249 Find f such that -4*f**4/7 + 12436*f**3 + 261228*f**2/7 - 783596*f/7 + 435320/7 = 0. -5, 1, 21766 Suppose -42*w**4 - 333*w**3 + 402*w**2 - 27*w = 0. Calculate w. -9, 0, 1/14, 1 Solve -2*y**5 - 36*y**4 - 208*y**3 - 444*y**2 - 270*y = 0 for y. -9, -5, -3, -1, 0 Factor p**4 - 1086*p**3 + 149661*p**2 + 78837084*p + 5269888836. (p - 654)**2*(p + 111)**2 Factor 3*f**4 - 90*f**3 - 972*f**2 - 3078*f - 3159. 3*(f - 39)*(f + 3)**3 Factor 3*r**5 + 564*r**4 + 14028*r**3 + 94080*r**2. 3*r**2*(r + 14)**2*(r + 160) Factor -4*l**3 + 5180*l**2 + 73108*l + 256564. -4*(l - 1309)*(l + 7)**2 Find f, given that 2*f**5/15 + 22*f**4/15 - 218*f**3/15 - 238*f**2/15 = 0. -17, -1, 0, 7 Solve 3*o**2/7 - 148572*o/7 + 1839469932/7 = 0 for o. 24762 Find i, given that -2*i**3/9 - 5416*i**2/9 - 404378*i + 4104180 = 0. -1359, 10 Suppose 3*i**5 - 1167*i**4 - 21879*i**3 - 40245*i**2 - 19536*i = 0. Calculate i. -16, -1, 0, 407 Factor 2*q**2 - 768*q - 7074. 2*(q - 393)*(q + 9) Determine w so that -w**2/12 - 23677*w - 1681800987 = 0. -142062 Find h, given that -171*h**4 + 759*h**3 - 990*h**2 + 324*h - 24 = 0. 2/19, 1/3, 2 Determine n so that -330*n**4 - 622*n**3 - 340*n**2 - 48*n = 0. -1, -2/3, -12/55, 0 Factor -34*y**2/7 + 106*y/7 + 120/7. -2*(y - 4)*(17*y + 15)/7 Factor 4*i**2 + 348*i - 53440. 4*(i - 80)*(i + 167) Let 2*t**3/9 - 1282*t**2/9 + 68266*t/3 + 22898 = 0. What is t? -1, 321 Solve 2*c**4/7 + 8*c**3 + 274*c**2/7 + 220*c/7 = 0. -22, -5, -1, 0 Let 2*z**5/3 - 44*z**4/3 - 44*z**3/3 + 920*z**2/3 + 382*z - 660 = 0. Calculate z. -3, 1, 5, 22 Find l, given that 102*l**5 + 3574*l**4 + 13298*l**3 + 16530*l**2 + 6952*l + 248 = 0. -31, -2, -1, -2/51 Suppose 2*j**3/5 + 1934*j**2/5 + 1536*j - 23112/5 = 0. Calculate j. -963, -6, 2 Find r such that 10*r**3 + 476*r**2/3 + 1376*r/3 - 64 = 0. -12, -4, 2/15 Factor 50*i**3 + 23695*i**2 - 2370*i. 5*i*(i + 474)*(10*i - 1) What is b in b**2 - 9034*b + 9033 = 0? 1, 9033 Factor a**3/6 - 147*a**2 - 19189*a/2 + 68202658/3. (a - 619)**2*(a + 356)/6 Solve -2*w**3 + 674*w**2 - 1342*w + 670 = 0. 1, 335 Factor -3*b**2 - 82821*b. -3*b*(b + 27607) Factor 5*w**4 - 4685*w**3 + 1109100*w**2 - 5447540*w + 4343120. 5*(w - 466)**2*(w - 4)*(w - 1) Let 2*s**2/7 + 4328*s + 16390136 = 0. What is s? -7574 Suppose 9*l**4 - 314*l**3 + 1712*l**2 + 9952*l - 9984 = 0. What is l? -4, 8/9, 12, 26 Determine c, given that -2*c**4 - 534*c**3/7 - 960*c**2 - 30200*c/7 - 24000/7 = 0. -120/7, -10, -1 Factor -2*c**2/3 - 2306*c - 48328/3. -2*(c + 7)*(c + 3452)/3 Factor 3*l**2/5 + 129081*l/5. 3*l*(l + 43027)/5 Suppose -125*o**5/3 + 575*o**4 + 3330*o**3 - 1656*o**2 - 26784*o - 31104 = 0. Calculate o. -12/5, 3, 18 Factor -2*j**3 + 3606*j**2 + 3612*j - 7216. -2*(j - 1804)*(j - 1)*(j + 2) Determine w so that w**2 - 10232*w = 0. 0, 10232 Solve -4*j**3 - 35772*j**2 = 0 for j. -8943, 0 Let 2*a**3 - 1480*a**2 + 5896*a - 5888 = 0. What is a? 2, 736 Determine g, given that 4*g**2/7 + 2956*g/7 - 4280 = 0. -749, 10 Find s such that -3*s**2 - 609*s + 30870 = 0. -245, 42 Determine x, given that 4*x**3/3 + 680*x**2 - 128436*x + 15747424/3 = 0. -664, 77 Let -6*b**3/11 - 178900*b**2/11 - 1333610048*b/11 - 888993856/11 = 0. Calculate b. -14908, -2/3 Find g, given that 4*g**3 - 704584*g**2 - 2818384*g - 2818400 = 0. -2, 176150 Determine g so that 6*g**4 + 27*g**3 - 654*g**2 - 423*g + 11340 = 0. -12, -9/2, 5, 7 Factor -2*r**2/7 + 1542*r/7 + 106880/7. -2*(r - 835)*(r + 64)/7 Factor 3*q**3 + 169131*q**2 - 3*q - 169131. 3*(q - 1)*(q + 1)*(q + 56377) Determine d, given that -10*d**2/3 - 54361*d/3 - 1812 = 0. -5436, -1/10 Solve -4*p**4 - 9272*p**3 - 6744244*p**2 - 1589128080*p - 117498128400 = 0 for p. -985, -174 Factor 3*u**4 + 330*u**3 - 7692*u**2 + 14040*u. 3*u*(u - 18)*(u - 2)*(u + 130) Solve -274*m**2 + 1510*m - 1236 = 0 for m. 1, 618/137 Solve b**2 - 610*b + 19041 = 0. 33, 577 Suppose -l**3/5 - 1841233*l**2/5 - 169506763891*l + 847535660689/5 = 0. Calculate l. -920617, 1 Find t such that 3*t**3 - 84*t**2 + 273*t + 360 = 0. -1, 5, 24 Factor 2*r**4 - 11104*r**3 + 15423450*r**2 - 30802500*r. 2*r*(r - 2775)**2*(r - 2) Find k such that k**3 + 446*k**2 + 66172*k + 3266568 = 0. -162, -142 Solve -5*l**2 + 3405*l - 6790 = 0. 2, 679 Solve 3*l**2 + 1035*l + 35802 = 0 for l. -306, -39 Let 8*g**2/5 + 1874*g/5 + 108206/5 = 0. Calculate g. -131, -413/4 Solve -5*s**4 + 1425*s**3 + 25215*s**2 + 136675*s + 221970 = 0. -7, -3, 302 Factor 4*g**3 + 24*g**2 - 4*g - 120. 4*(g - 2)*(g + 3)*(g + 5) Find i, given that 2*i**2/5 - 307202*i + 3072012/5 = 0. 2, 768003 Factor 111*w**2 + 56*w. w*(111*w + 56) Solve -2*f**5 - 606*f**4 + 10438*f**3 + 68742*f**2 - 1468220*f + 2587728 = 0 for f. -319, -12, 2, 13 Let 2*w**3/11 - 245242*w**2/11 + 7518322670*w/11 - 22552760886/11 = 0. Calculate w. 3, 61309 Suppose -2*x**3/9 + 54982*x**2/3 - 36654*x + 164942/9 = 0. What is x? 1, 82471 Factor -4*a**2/3 + 11676*a + 1089712/3. -4*(a - 8788)*(a + 31)/3 Factor -5*s**2/6 + 475*s/3 + 95995/6. -5*(s - 263)*(s + 73)/6 Factor 8*z**3 + 226636*z**2 + 1605064480*z - 802588900. 4*(z + 14165)**2*(2*z - 1) Find x, given that 2*x**5/9 + 46876*x**4/9 - 10418*x**3 - 46876*x**2/9 + 93760*x/9 = 0. -23440, -1, 0, 1, 2 Solve -3*n**2/4 + 711*n/4 - 6804 = 0 for n. 48, 189 Factor k**2/7 - 3944*k/7 - 11841/7. (k - 3947)*(k + 3)/7 Suppose u**5/4 + 3263*u**4/4 + 2492923*u**3/4 - 279750339*u**2/4 = 0. Calculate u. -1681, 0, 99 Determine a, given that -a**2/8 - 1334*a - 3559112 = 0. -5336 Factor 3*t**3/4 - 3309*t**2/4 - 4977*t/2. 3*t*(t - 1106)*(t + 3)/4 Factor 4*y**3 + 1412*y**2 + 122464*y - 380208. 4*(y - 3)*(y + 178)**2 Factor -5*m**2 - 431330*m - 431325. -5*(m + 1)*(m + 86265) Let d**3 - 14925*d**2 + 29846*d = 0. Calculate d. 0, 2, 14923 What is r in -2*r**4/9 - 362*r**3/9 - 1374*r**2 - 42070*r/9 + 54800/9 = 0? -137, -40, -5, 1 Suppose 2*u**5 + 664*u**4 + 55766*u**3 + 108232*u**2 - 55768*u - 108896 = 0. Calculate u. -166, -164, -2, -1, 1 Solve -2*g**3 + 310*g**2 - 11504*g + 41184 = 0 for g. 4, 52, 99 What is c in -c**2/2 + 470754*c - 110804664258 = 0? 470754 Find r, given that 4*r**3 - 3168*r**2 + 627264*r = 0. 0, 396 Suppose -2*g**3 + 5414*g**2 = 0. What is g? 0, 2707 What is j in -4*j**2 + 12*j + 72 = 0? -3, 6 Find b such that 2*b**3/13 - 22808*b**2/13 - 45622*b/13 - 22812/13 = 0. -1, 11406 Solve 162*i**4/7 + 139014*i**3/7 + 430376*i**2/7 - 464992*i/7 + 109440/7 = 0 for i. -855, -4, 4/9 Factor 5*x**2 + 42560*x + 85100. 5*(x + 2)*(x + 8510) What is i in 9*i**5 - 560*i**4 - 551*i**3 + 6954*i**2 - 1512*i = 0? -4, 0, 2/9, 3, 63 Factor -l**3/4 + 359*l**2/4 - 10166*l + 370300. -(l - 175)*(l - 92)**2/4 Find s, given that -s**2/6 - 40*s - 6119/6 = 0. -211, -29 Factor x**4/6 - 335*x**3/2 + 15097*x**2/3. x**2*(x - 974)*(x - 31)/6 Factor -p**4 + 76*p**3 - 498*p**2 + 1044*p - 621. -(p - 69)*(p - 3)**2*(p - 1) Factor 8*h**3/5 - 73027*h**2 + 4166338686*h/5 + 520798041/5. (h - 22821)**2*(8*h + 1)/5 Find p such that 5*p**5/2 + 6935*p**4 + 41565*p**3/2 - 10*p**2 - 27710*p = 0. -2771, -2, 0, 1 Determine h, given that -3*h**2 + 17940*h = 0. 0, 5980 Solve -3*d**4/7 - 960*d**3/7 - 4224*d**2/7 + 1658880*d - 62705664 = 0 for d. -216, 56 Factor 15*p**3 - 174*p**2 + 99*p. 3*p*(p - 11)*(5*p - 3) Find y such that 3*y**5 + 1647*y**4 - 3345*y**3 - 21519*y**2 - 16530*y = 0. -551, -2, -1, 0, 5 Factor 5*r**4 - 21430*r**3 + 23616965*r**2 - 1403064960*r + 21432913920. 5*(r - 2112)**2*(r - 31)**2 Factor o**4 + 21*o**3 - 9362*o**2 + 278700*o + 595000. (o - 50)**2*(o + 2)*(o + 119) Determine c, given that -5*c**2 + 34110*c + 2377395 = 0. -69, 6891 Suppose n**3/6 + 680*n**2/3 - 13822*n/3 - 10120 = 0. Calculate n. -1380, -2, 22 Factor -z**3/5 + 47*z**2 - 2898*z/5 + 2664/5. -(z - 222)*(z - 12)*(z - 1)/5 Factor 12*w**2/5 - 2522*w/5 + 114336/5. 2*(w - 144)*(6*w - 397)/5 Solve -50*m**3 - 112030*m**2 - 62585222*m + 188765286 = 0. -5609/5, 3 Factor -8*z**2 - 2182*z + 406146. -2*(z - 127)*(4*z + 1599) Suppose 162*k**3/7 + 1149*k**2/7 + 1077*k/7 + 90/7 = 0. What is k? -6, -1, -5/54 Factor -a**2 + 84376*a - 1779827344. -(a - 42188)**2 Let -i**3/3 - 1175*i**2/3 + 7131*i - 32211 = 0. What is i? -1193, 9 Suppose -5*s**5 + 255*s**4 + 5000*s**3 - 53760*s**2 = 0. What is s? -21, 0, 8, 64 Facto
{ "pile_set_name": "DM Mathematics" }
9/60. Let i = -3/20 - v. What is the nearest to -8 in i, t, -0.1? t Let w = 7075 + -7078. What is the nearest to w in 1, -1/5, 5/4, -0.041? -1/5 Let z be (31/(-2))/((-7)/14). Suppose 0 = 4*m + b + 2*b - z, 25 = 5*b. What is the nearest to 0.05 in 2/17, 5, m? 2/17 Let h = 0.23 + -3.03. Let w = h - -28.8. Let b = 22 - w. What is the nearest to -1/3 in b, 5, -0.4? -0.4 Let g(i) = i**3 + 69*i**2 + 64*i - 289. Let l be g(-68). Which is the nearest to -1? (a) -1/6 (b) 10 (c) l a Let t = 10128 + -10132. Which is the closest to -2? (a) 4 (b) 40/11 (c) t c Let m = -121 + 121.245. Let w = 0.345 - m. Which is the closest to w? (a) -3 (b) 2/3 (c) -0.6 b Let v = -15 - -20. Let j = 0.233 + -0.033. What is the nearest to 2/11 in 0, v, j? j Let i = -104 - -517/5. Let r = -46 + 46.2. Which is the nearest to r? (a) 2/3 (b) i (c) -0.1 c Let j = 1 - 0.9. Let v = -94/25 + 1084/275. Which is the nearest to 2? (a) j (b) v (c) 1 c Suppose -25 = 495*p - 500*p. Let m be (11 - (p - -7))/(0 - -1). What is the nearest to 4 in -4/5, m, 25? -4/5 Let p be (-3 + 3)*((-117)/(-24) + -5). What is the closest to p in -2/5, -4, 27, 0? 0 Let m = 14.716 - 14.716. What is the nearest to m in 6/25, -1/5, -2/7? -1/5 Let i = -12.85 + 6.84. Let s = i - -5.961. What is the closest to s in 1, 4, -0.1? -0.1 Let o = 1.2 + -1. Let p = -0.277 - 0.223. Let t(s) = -8*s - 5. Let d be t(-1). Which is the nearest to -2/5? (a) d (b) p (c) o b Suppose 12 = -102*y + 114. What is the nearest to y in -0.4, 10, 20, 2? 2 Let g = 3 - 1. Suppose -g*j = -4*j + 8. Let n = -0.739 + 0.239. Which is the nearest to -10? (a) 0.5 (b) j (c) n c Let v = 33349 + -33349.1. Let a = 4 - 4.3. What is the nearest to v in -3/82, -0.1, a, -1? -0.1 Let l = 7 - 10. Let d be 10/4 - 3570/540. Let k = d - -40/9. Which is the nearest to 0.1? (a) 30 (b) k (c) l b Let s = -0.3 + 0.2. Let x = 1.2691 + -1.5691. Which is the nearest to s? (a) x (b) -1/4 (c) 0.06 b Suppose -3*h - 4*t - 1 = 0, 3*h - t + 0*t - 4 = 0. Let f = -47 + 46.88. Let g = f + 0.02. Which is the nearest to g? (a) -4 (b) 5/3 (c) h c Let v be (5/(-10))/(3*(-26)/(-228)). Let p = 51/26 + v. Let a = 2/273 - 568/3003. What is the closest to -1 in a, p, 5/2? a Let d = -272 + 271.9. Let i = 0.17 + -0.07. What is the nearest to i in -4, 5, d? d Let o be 27/9 - 99/27. What is the nearest to 5 in 2/9, -0.5, o, 0.2? 2/9 Let p(s) = s**2 + 65*s - 1492. Let m be p(-83). Let v = 3 - 2.8. Which is the closest to v? (a) 0.3 (b) -4 (c) -47 (d) m a Suppose 112*k = 101*k + 649. Let r be (-1)/(63/54) - (-3)/(-21). Which is the closest to r? (a) k (b) -1 (c) 0.2 b Let r = 777 + -772. Let m = -2/3 + 4/5. What is the nearest to -0.1 in -12, -0.2, r, m? -0.2 Let p = -42 - -70. Let f be ((-1)/(-6))/((p/24)/7). Suppose 1 = -4*o - 0*i + i, -2*o + f = -i. What is the closest to o in 16, 3, 1/3? 1/3 Let y = -1/877 - 4383/1754. Which is the nearest to -1/2? (a) 169 (b) y (c) 3 b Suppose 0 = u - 0*u - 2*a + 3, 0 = -u - 5*a - 3. Let k be (96/60)/((-2)/20). Let y be (-12)/k*(2 + 8/(-6)). What is the nearest to y in u, 1/7, -0.1? 1/7 Let v = 9 - 9.3. Let z(o) = -o**3 + 5*o**2 + 15*o - 13. Let y be z(7). Let q be 2/9 + 6/(-324)*y. What is the nearest to 2 in -1, q, v? q Let z = -232 - -238.18. Let s = -6.38 + z. Which is the nearest to s? (a) 6 (b) -2/13 (c) 0.2 b Let r = 7708 - 7709. Which is the nearest to r? (a) 1 (b) 0.7 (c) -12 (d) 0.1 d Suppose -2*z + 2*w + 8 = 0, 5*z - w - 1 = 11. Which is the nearest to -2/7? (a) 4/5 (b) -0.107 (c) 5 (d) z b Let j = -2.918 + -13.082. Which is the nearest to 0? (a) j (b) 2 (c) 8 b Suppose 3*g + 534 = -0*x + 4*x, -4*g - 8 = 0. Let t = x - 133. Which is the nearest to 0? (a) 2/13 (b) t (c) -0.3 a Let v = 140.89 - 140.99. Which is the closest to v? (a) -534 (b) 2/13 (c) 2/5 b Let f = 1 - 1.1. Let v = 232 - 138. Let a = 91 - v. What is the closest to f in a, 2, -0.1? -0.1 Let j = -18155 - -18156. What is the closest to j in 0.5, 176, 6, 4? 0.5 Let v = 8433 - 8423. What is the nearest to v in -5, 2, 2/5? 2 Let p = 199 + -257. Let h = p + 57.5. Which is the closest to 0? (a) -22 (b) -2/3 (c) h c Let m = 2572.5 + -2576.5. What is the closest to 2 in 0.1, m, 3, 76? 3 Let p = 4.6 + -0.6. Let o = 0 - p. Let g be 200/180*((-12)/10)/(-1). Which is the closest to 1? (a) g (b) o (c) -1 a Let h = 6.067 - 14.067. Which is the closest to -1/4? (a) 2/9 (b) 1 (c) h a Let o be (-204)/(-14) - 18/(-42). Suppose 7*h + 20 = -o. What is the closest to -1/3 in 2, 3, h? 2 Let i = 8472.2 - 8472. Which is the closest to 9? (a) 1/4 (b) 2/11 (c) 1 (d) i c Let q = -0.07 + -0.34. Let o = q + 0.31. Suppose -v = v. Which is the nearest to 2/3? (a) o (b) v (c) 3 b Let z = -6 + 5.92. Let i = -11745/82019 + 4/11717. What is the nearest to -1/4 in i, -4, z? i Let t = -0.393 + 1.393. Let r = 1.5 + -0.5. Which is the nearest to r? (a) t (b) -4/5 (c) 2/13 a Let z be 23*7/(-14) - 8. Let h = -41059/5 + 740797/90. Let y = h + z. What is the nearest to 1 in 0.1, y, -6? 0.1 Let f = -5485.5 - -5485.2. Let s = -6.09 - 0.71. Let v = -0.2 + s. Which is the nearest to v? (a) f (b) 1/7 (c) -3 c Let n = 164 + -87. Let v = 82 - n. What is the closest to 1 in v, -0.1, 0.5? 0.5 Let t = -122 + 107. Let l = t - -14.8. Which is the closest to -3? (a) -3 (b) l (c) -1/6 a Let z = -5.19 + 4.79. Let v = 127 + -126.7. What is the nearest to z in 2, -3, v? v Let k = 3025 + -3030. What is the nearest to -43 in 1/11, k, 24, 5? k Let n = -2 - -1. Let i = -0.54248 - -0.34248. Which is the nearest to i? (a) 1 (b) n (c) 3 b Let c = 2409 + -2408.89. What is the nearest to 6 in c, 0.1, 4? 4 Let v(u) = -21*u - 820. Let w be v(-39). What is the nearest to w in -1, 10, 0.3, 5? -1 Let p be 4 - 5 - (-2 - -1)*18. Suppose p + 3 = 5*m. Let d be m/(-5 - (3 + -18)). Which is the closest to 1/2? (a) 0.5 (b) d (c) -0.05 a Let t(n) = -10*n**2 - n + 9. Let m be t(9). Let h = m - -7289/9. Which is the closest to 1? (a) 17 (b) -2/9 (c) h (d) -4 c Let m = 4122 - 4120. Which is the closest to 2/7? (a) 5 (b) m (c) -3 (d) -1 d Let n = -1508619/11 + 137033. Let u = 114 + n. Let s be (-240)/648*12/20. Which is the closest to s? (a) 5 (b) -5 (c) u c Let i(n) = -n**2 - 32*n - 54. Let k be i(-26). Let f be (-2)/12 + 323/k. Which is the closest to -1? (a) 5 (b) -1/6 (c) f b Let p = -10.196 + 11.196. Let w be (4/(-6))/(2*-2). Suppose -5*c - 3*x = x + 2, 2 = -2*c - x. What is the nearest to p in c, w, -3? w Let o = 79 - 83. Let w = 3435 - 3438. Which is the nearest to w? (a) -3 (b) 0 (c) -0.5 (d) o a Let r be (-5)/15*-4 + (-1576)/12. Which is the nearest to 1? (a) 0.4 (b) -0.5 (c) -2 (d) r a Let r = -161 - -122.2. Let j = 38.3 + r. Let p(i) = -3*i. Let u be p(-1). Which is the nearest to -5? (a) -3 (b) u (c) j a Let z = -15352.61 - -15352. Which is the closest to -0.1? (a) z (b) 0.4 (c) 5 b Let s = -29.2 + 23.2. Let g(q) = 3*q - 45. Let k be (-12)/(-24) + 54/4. Let n be g(k). Which is the closest to 1/2? (a) s (b) -2/5 (c) n b Let g = 4.43 - 1.98. Let q = g + -2.25. Which is the closest to 2/9? (a) 5 (b) q (c) 0 b Let h = -22481 - -22479. What is the closest to 1/2 in h, -0.2, 7, -2/85? -2/85 Let g = -4252/5 + 851. Let i = -7 + 14. Which is the closest to 1? (a) i (b) g (c) 0.2 b Let q = 8/5675 + 5627/34050. Which is the closest to 40? (a) 2 (b) -0.03 (c) q (d) 2/3 a Let h = 1/2630 + -5267/18410. Which is the nearest to -2/5? (a) h (b) 2/7 (c) -0.89 a Suppose k + 4 + 2 = -3*n, 5*n = -4*k - 10. Let x(l) = -l**2 + 12*l - 16. Let s be x(11). Let t be 2/s*(-4)/(64/(-20)). What is the nearest to 1/3 in t, k, -0.4? k Let r = 0.1 - -0.9. Let m = -5.251 + 5.02. Let z = -0.031 - m. What is the nearest to 2/17 in -1, r, z? z Suppose -2*q + 54 = 46. Suppose -6*d + 7*d = k + 5, -2*k = -4*d + 20. What is the nearest to k in 3, q, -2, -3/2? -3/2 Let r = -40.94123 + 0.00123. Let z = r - 2.96. Let t = z - -44. What is the closest to -2/7 in t, -1, -1/11? -1/11 Let o = -2458 - -2461. Which is the nearest to -1/8? (a) 3/2 (b) o (c) 0.4 (d) 14 c Let j be 12 + (-285)/30 + -3. Which is the closest to -3? (a) -7 (b) 0.8 (c) -1 (d) j c Let n be 262/110 + (-138)/759. Which is the nearest to n? (a) -1 (b) -1/17 (c) 0.2 (d) -3 c Let g = -
{ "pile_set_name": "DM Mathematics" }
e factors of l(-8). 2, 7 Suppose 3*m = -14 + 254. List the prime factors of m. 2, 5 Let i be -14*(1/2)/1. Let q be 132/28 + (-2)/i. Suppose 5*p - 3*g - 44 = -14, 5*p + q*g = -10. What are the prime factors of p? 3 Let g = -47 - -86. What are the prime factors of g? 3, 13 Suppose -1 - 8 = 3*i. What are the prime factors of (-2)/i - 74/(-6)? 13 Let x(d) = -d**3 - 16*d**2 - 19*d. List the prime factors of x(-15). 2, 3, 5 Let z be (-8)/(-3)*3/(-2). List the prime factors of (18/(-15))/(z/10). 3 Let t(m) = -5*m - 1. Let r(c) = 15*c + 2. Let k(f) = 3*r(f) + 8*t(f). Let u be k(4). Suppose 3*n - 4*l = u, -n - l - 4*l = -25. What are the prime factors of n? 2, 5 Suppose -3*n = -2*n. Suppose n = -8*g + 7*g + 11. List the prime factors of g. 11 Let z = -6 + -12. Let k = z + 31. List the prime factors of k. 13 Suppose 7*q - 4*d - 7 = 2*q, -5*q = -2*d - 11. Suppose q*g + g + 248 = 0. List the prime factors of 1/(-6) - g/12. 5 Let l = 113 - 55. List the prime factors of l. 2, 29 Let c = -31 + 71. List the prime factors of c. 2, 5 Suppose -5*h + 10 = 0, -41 + 15 = -4*v + 5*h. List the prime factors of v. 3 Suppose 0*j = -4*j + 48. Let t be ((-4)/(-2))/(2/(-4)). Let q = t + j. What are the prime factors of q? 2 Suppose 5*j - 185 = -5*f, j = -j - 8. List the prime factors of f. 41 Suppose 2*y + 892 = 4*x, 3*y + 2*y - 920 = -4*x. Suppose 5*s = 10*s - x. What are the prime factors of s? 3, 5 Let x(g) = 67*g**2 + 2*g + 1. List the prime factors of x(-1). 2, 3, 11 Suppose b - 3*f - 210 = -72, 2*f - 605 = -5*b. What are the prime factors of b? 3, 41 Let x = 41 - 22. Let a = 33 - x. What are the prime factors of a? 2, 7 Suppose 0*v = -3*v + 15. Suppose 0 = -3*n + 4*b + 56, v*b = -4*n - 0*b + 116. Let k = -9 + n. What are the prime factors of k? 3, 5 Suppose -5*z - 35 = 5. Let i be (z/(-28))/((-2)/(-14)). Suppose 0 = -i*u + 7 + 5. What are the prime factors of u? 2, 3 What are the prime factors of 7/7 - 57/(-1)? 2, 29 Let d(q) be the second derivative of q**3/3 - 3*q**2 - q. List the prime factors of d(4). 2 Suppose -5*t - 9 = -3*s, -3*s = -0*s + 2*t - 9. Let q(n) = 2*n**3 - 4*n**2 - 4. List the prime factors of q(s). 2, 7 Let n(i) = -5*i**3 + 2*i**2 + i. Let y be -10*1/(10/(-8)). Suppose 0 = 3*z + 5*s - 0*s + y, 5*z + 7 = -2*s. List the prime factors of n(z). 2, 3 Suppose -3*y + 9 = -0*y. Suppose -y*w = -42 - 3. What are the prime factors of w? 3, 5 List the prime factors of 4 + (4 - 8 - -7). 7 Suppose -7*l = -3*l - 16. Suppose 5*k - l*h = h - 5, -h = k + 7. What are the prime factors of 136/14 - k/14? 2, 5 Let s(r) = -r**2 + 5*r - 3. Let f be s(3). Suppose f*g + 2 = -2*h, 4*h + 0*h + g = 6. List the prime factors of h. 2 Let q(y) = 7. Let u(j) = -j + 7. Let f(t) = -4*q(t) + 3*u(t). Let o be (9/6)/((-2)/12). What are the prime factors of f(o)? 2, 5 Let s = -153 - -86. Let y = -37 - s. Let c = y - 18. What are the prime factors of c? 2, 3 Let f(z) = -z**2 + z + 94. Let g be f(0). Suppose -4*x + 8*x - 5*j = 6, -14 = -x - 5*j. Suppose -g = -5*l - x. List the prime factors of l. 2, 3 List the prime factors of (-3123)/(-36)*((-6)/(-3) - -2). 347 What are the prime factors of (8/(-2))/((-20)/70)? 2, 7 Let n(s) = s**2 + 7*s + 8. Let i be n(-6). Suppose u = -5*c - 32, 4*c = -2*u + i*c - 32. Let g = u - -18. List the prime factors of g. 2, 3 Suppose 0 = -4*s - 5*k + 67, 75 = 4*s + k - 4*k. Suppose 0 = -2*m + 3*b + 18, -4*m + 30 = -3*b - s. List the prime factors of m. 3, 5 Let n(u) be the third derivative of u**4/24 - 5*u**3/6 + u**2. Let b be n(6). List the prime factors of (1 - b) + 8/1. 2 Suppose 55 = 2*a - 3*t, 2 + 3 = -a - 5*t. List the prime factors of a. 2, 5 Let a(h) = h**3 - 3*h**2 - 4*h + 3. What are the prime factors of a(4)? 3 Let z be ((-8)/6)/(6/(-9)). Suppose -j = z*j - 51. List the prime factors of j. 17 What are the prime factors of (-6)/(-18) - (-538)/6? 2, 3, 5 Let k(w) = -w**3 + 13*w**2 - w + 13. Let i be k(13). Suppose 3*o = 0, i*q = -2*q + 4*o + 20. What are the prime factors of q? 2, 5 What are the prime factors of 603/36 + 1/4? 17 What are the prime factors of (-40)/25*(-19 + -1)? 2 Let p = 12 - 6. Suppose -u + 3*y - 2 = 0, u - p = y + 2. What are the prime factors of u? 13 Let q be 5 + -3 + 1*15. Suppose 3*k - 23 = 4*u + 6*k, 0 = -4*u - 5*k - q. Let b = 14 + u. What are the prime factors of b? 2, 3 Suppose -4*k = -3*c + 172, -4*c = 5*k - 2*c + 238. Let j = k + 77. Suppose 17 + j = 4*r. List the prime factors of r. 2, 3 Suppose 2*j - 7*j = 3*z + 5, -3*j - 3*z = 9. What are the prime factors of (-6 + 8)/(j/26)? 2, 13 Let f(a) = a**3 + 4*a**2 - 3*a + 2. What are the prime factors of f(-4)? 2, 7 What are the prime factors of 2 + (-3)/6*-42? 23 Let g = 6 - 0. Suppose 0 = 7*c - g*c - 17. List the prime factors of c. 17 Suppose -3*l + 634 = -281. Suppose 5*b = -4*k + l, 3*b + 5*k + 0*k = 196. List the prime factors of b. 3, 19 Let y = -190 - -323. What are the prime factors of y? 7, 19 Suppose n + 45 = -2*n. Let s = n - -22. List the prime factors of s. 7 Suppose 0 = 46*k - 54*k + 3424. What are the prime factors of k? 2, 107 Let f(l) = -l**3 + 4*l**2 + l + 1. Let b be f(4). Let a = b - 3. Suppose a*i = i + 3. List the prime factors of i. 3 Let k = -7 - -23. Suppose c + 3*c = k. Let r = c + -1. List the prime factors of r. 3 Suppose 117 + 371 = 4*w. List the prime factors of w. 2, 61 Let u be 4*(18/(-8) - -1). Let n = -8 - u. What are the prime factors of (4/(-6))/(n/9)? 2 Suppose 11 = -3*h + 71. List the prime factors of h. 2, 5 Suppose 4 = -5*s + 3*s + 4*j, 2*s = 5*j - 7. What are the prime factors of (-220)/(-14) + s/14? 2 Let l(r) = -102*r + 2. What are the prime factors of l(-1)? 2, 13 Let q be 5/(-2)*4/(-5). Suppose 3*g = -q*g + 50. List the prime factors of g. 2, 5 Suppose 2*q = -3*f + 277, -5*f + 53 + 430 = -2*q. What are the prime factors of f? 5, 19 Let b(u) = u**2 + 3*u - 4. Let a be b(-4). Suppose 5*j + 2*m - 85 = -a*j, -2*j + 2*m + 20 = 0. List the prime factors of j. 3, 5 Suppose -2*l = -5*x + 340, 0 = -2*x - 3*l + 35 + 82. List the prime factors of x. 2, 3, 11 Let k = -23 + 32. What are the prime factors of k? 3 Let r = 207 - 106. Let b = 144 - r. Suppose -4*p - 7 = -b. List the prime factors of p. 3 Let d(i) be the first derivative of -5*i**2/2 - 10*i - 2. What are the prime factors of d(-7)? 5 Suppose 0*y - y - 2 = 0. What are the prime factors of (17*1)/(y + 3)? 17 Let f(i) = 3*i**3 + 3*i**2 - 11*i + 4. What are the prime factors of f(4)? 2, 5 Suppose 10 = 5*x, 4*x - 2 - 2 = -4*i. Let l(a) be the first derivative of -3*a**2/2 - a + 7. List the prime factors of l(i). 2 Let c = 9 - 6. Suppose c*g = -7 + 28. List the prime factors of g. 7 Suppose 30 - 10 = 4*c. Suppose 0 = -3*q + c*q + s - 67, 4*q - 139 = -s. What are the prime factors of q? 2, 3 Let r = 1 + 0. Let n be 0/r + 0 + -1. Let k(h) = -7*h - 1. List the prime factors of k(n). 2, 3 Suppose 13 = j - 4*k, -j - 2*k + 13 = 2*k. What are the prime factors of j? 13 Suppose 2*d = -d + 303. Suppose 0 = 3*z + 3*r - d - 193, 0 = z - 3*r - 78. List the prime factors of (-4)/14 + z/7. 13 Let x(z) = z - 6. Let u be x(5). List the prime factors of 2 - u - 9/(-3). 2, 3 Let s(g) = -g**2 + 11*g + 15. Suppose -2*h + 36 = 3*o - 3*h, -4*o + 59 = -5*h. What are the prime factors of s(o)? 3, 5 Suppose 4*m = 2*m - 32. Let y = 27 + m. List the prime factors of y. 11 Let c = -13 + 4. Let p = c - 3. What are the prime factors of -1 + (1 - 0) - p? 2, 3 Let v(a) = 2*a**2 - a**2 + a - a + 30. List the prime factors of v(0). 2, 3, 5 Let s = 223 + -66. List the prime factors of s. 157 Let y = 408 - 268. List the prime factors of y. 2, 5, 7 Let j(s) = s**2 - s. Let x be (2*-3)/(-3) - -3. What are the prime factors of j(x)? 2, 5 Suppose 2*d + 3*y - 140 = y, -3*d + 205 = -2*y. List the prime factors of d. 3, 23 What are the prime factors of (-16)/40 + (-234)/(-10)? 23 Let j(t) = t**2 + 7*t + 6. Let f be j(-4). Let g(a) = -a**2 - 7*a - 5. Let q be g(f). Let z = 3 + q. List the prime factors of z. 2 Let c = 92 + -44. List the prime factors of c. 2, 3 What are the prime factors of (-4)/14 + (-424)/(-14)? 2, 3, 5 Let i = -11 + 15. Suppose -i = -4*f + 48. List the prime factors of f. 13 Let n(q) be the second derivative of -q**4/12 + q**3/6 + 8*q**2 - 3*q. List the prime factors of n(0). 2 Suppose -5*g = 5*f + 60, -g
{ "pile_set_name": "DM Mathematics" }
wrt r? 72*r Let n be 8 + (-2 - (-28)/8)*-2. Find the second derivative of 5*j**n + 11*j - 14 - 11 + 25 wrt j. 100*j**3 Suppose -4*y + 0 = v + 2, 3*y - v = 2. Find the second derivative of y*w - 11*w + 21*w + 2*w**4 wrt w. 24*w**2 Let h(p) be the first derivative of 0*p - 1/3*p**3 - 11 + 10/7*p**7 + 0*p**6 + 0*p**2 + 0*p**5 + 0*p**4. Find the third derivative of h(t) wrt t. 1200*t**3 Let q(r) be the third derivative of -67*r**6/120 - 17*r**5/60 - 54*r**2 + 2. What is the third derivative of q(u) wrt u? -402 Let k(h) = h**3 + 13*h**2 - 14*h + 2. Let n be k(-14). Find the second derivative of -8*j**n + 23*j - 21*j + 21*j**2 wrt j. 26 Let r(z) = -129*z**4 - 4*z**3 - z**2 - 4*z + 99. Let g(h) = -h**4 + h**3 + h - 1. Let p(m) = -4*g(m) - r(m). What is the third derivative of p(x) wrt x? 3192*x Let c(y) = 2*y + 6*y - 3*y - 3*y + 21*y**3 - 28*y**2. Let f(i) = 41*i**3 - 57*i**2 + 5*i. Let j(w) = -10*c(w) + 4*f(w). Find the third derivative of j(t) wrt t. -276 Let w(k) = -k - 9. Let g be w(-13). Suppose 3*y - 7 = -g*j + 4*y, 5*y = 3*j + 16. Differentiate r**j - 1 + 0 - 5*r**3 with respect to r. -12*r**2 What is the second derivative of 36832 + 2*r - 98*r**2 - 16*r - 36830 wrt r? -196 Let j(s) be the first derivative of -5*s**9/3024 - s**5/12 - 14*s**3/3 - 9. Let n(r) be the third derivative of j(r). Find the second derivative of n(l) wrt l. -100*l**3 Let h(b) be the third derivative of -67*b**6/60 - 33*b**5/20 - 218*b**2. Find the third derivative of h(p) wrt p. -804 What is the derivative of -32 - 2388*y**2 - 2*y + 2*y + 2369*y**2 wrt y? -38*y Suppose -701 = -11*w + 344. Find the second derivative of -191*f + 88*f - 2*f**3 + 9*f**3 + w*f wrt f. 42*f Let h(z) be the second derivative of -7*z**4/6 + 252*z**2 - 2*z - 266. Find the first derivative of h(l) wrt l. -28*l Suppose -10*o + 19*o = 45. What is the third derivative of 3*x**2 - 2*x**5 + 2*x**5 + 3*x**o + x**5 wrt x? 240*x**2 Suppose -2*h = h - 171. Differentiate -29*p + h*p - 28*p - 2 - 5*p**4 wrt p. -20*p**3 Let g(w) = 3*w**3 + w**2 - w. Let j(q) = -22*q**3 + 10*q**2 + 8*q - 291. Let n(h) = -8*g(h) - j(h). What is the first derivative of n(r) wrt r? -6*r**2 - 36*r Let q(s) be the second derivative of 17*s**4/2 + 2*s**2 + 26*s - 4. Differentiate q(f) with respect to f. 204*f Let m = -11 - -15. Find the first derivative of -3 + 2 - 4 - i**4 - 8*i**m wrt i. -36*i**3 Suppose 4*j - 2*j - 12 = 0. Let a = j + -6. What is the first derivative of a*t + 7 - 3*t + t + t wrt t? -1 Let p(y) be the first derivative of 2*y**7/7 - 151*y**4/2 - 2*y**3/3 - 273*y + 247. Find the third derivative of p(w) wrt w. 240*w**3 - 1812 Let d(o) be the first derivative of 11*o**8/1680 - 5*o**4/12 - 8*o**3/3 - 12. Let j(n) be the third derivative of d(n). Differentiate j(f) with respect to f. 44*f**3 Let p(z) = -z - 19. Let y be p(-14). Let d be -5*(15/y)/3. Find the first derivative of 13 + 0 - 8 - d*l**2 wrt l. -10*l Suppose -t = t + 3*u - 16, 0 = -4*t + 2*u + 16. Find the third derivative of -25*a**5 + 53*a**t - 30*a**5 - 29*a**5 + 29*a**2 wrt a. -1860*a**2 Let c be (28/(-21))/(6/(-9)). What is the third derivative of -21*t**2 + 26*t**2 - 8*t**5 - 12*t**c wrt t? -480*t**2 Let q(n) be the second derivative of n**10/1008 + n**6/360 - n**3/3 + 7*n. Let x(p) be the second derivative of q(p). Find the third derivative of x(j) wrt j. 600*j**3 What is the derivative of 106*b + 80*b + 186 - 111 wrt b? 186 Find the first derivative of 765 + 12*x**3 + 196*x**4 - 301*x**4 - 12*x**3 - 592*x**4 wrt x. -2788*x**3 Find the third derivative of -45784*s**6 + 45834*s**6 - 36*s**2 - 36*s**2 wrt s. 6000*s**3 Let b(f) = -88*f + 5. Let p be b(-5). What is the first derivative of -q**4 - 445*q + p*q + 16 + 6*q**4 wrt q? 20*q**3 Let y(g) = 159*g**2 + 7*g - 83. Let q(d) = d**2 + 2*d + 1. Let a(u) = 2*q(u) - y(u). What is the second derivative of a(p) wrt p? -314 Let c(b) be the second derivative of 0*b**3 - 27/56*b**8 - 21*b + 0*b**2 + 0*b**5 + 0*b**7 + 0*b**6 - 8/3*b**4 + 0. Find the third derivative of c(a) wrt a. -3240*a**3 What is the third derivative of 73*x**5 + 116*x**2 + 5*x**4 - 140*x**5 + 69*x**5 wrt x? 120*x**2 + 120*x Suppose -b = b - 8. Suppose -5*f - 5 = -5*r + 3*r, -2*r + 11 = f. Differentiate r*z - 1 + b*z + 6 with respect to z. 9 Let u be 192/(-9)*3*-1. Let n be ((-38)/8)/((-4)/u). Differentiate 6 - n*d - 2*d**2 + 76*d with respect to d. -4*d Let a(v) be the second derivative of -23*v**6/5 + v**5/10 + 53*v**4/6 + 26*v. What is the third derivative of a(i) wrt i? -3312*i + 12 Let l = 1647 - 1637. Let v(i) be the first derivative of l - 11/2*i**2 + i. Find the first derivative of v(a) wrt a. -11 Let c(a) = 3*a. Let h be (-3)/6*(-2)/1. Let k be c(h). What is the third derivative of -4*t**2 + 5*t**4 - 4*t**2 - k*t**2 + 5*t**2 wrt t? 120*t Let m(b) be the third derivative of 0*b**3 + 0*b**7 + 0 + 0*b**6 + 0*b + 0*b**4 - 3/112*b**8 + 11/20*b**5 + 39*b**2. Find the third derivative of m(y) wrt y. -540*y**2 Let o(x) be the second derivative of -x**6/15 + 115*x**4/12 - 44*x**3/3 - 442*x. Find the second derivative of o(k) wrt k. -24*k**2 + 230 Let f = 7 + -13. Let v(s) = s**2 + 5*s - 3. Let i be v(f). Find the second derivative of 8*m**4 + i*m - 8*m**4 - 3*m**5 wrt m. -60*m**3 Let m be -2 + 1 + 1 + 2. Let g(q) be the first derivative of -48*q**4 - 13*q - 1 + 49*q**4 - m. Differentiate g(h) with respect to h. 12*h**2 Suppose -2*q + w = -w - 50, -2*q + 5*w + 62 = 0. Differentiate -5 + 7*l**4 + 9 - q with respect to l. 28*l**3 Suppose -i + 6*i - 2*q = 30, i = 3*q + 19. Suppose 0 = 2*h - 2 - 8. What is the first derivative of -4 - i + 4 + 6 - h*z wrt z? -5 Let f = 5 + -10. Let a(k) = -3*k**3 + 1 + 7*k**3 - 7 + 5*k. Let v(t) = -6*t**3 - 7*t + 9. Let p(r) = f*v(r) - 7*a(r). What is the derivative of p(c) wrt c? 6*c**2 Let g(p) be the third derivative of 661*p**4/24 + 137*p**3/6 + 3*p**2 + 13*p. What is the first derivative of g(y) wrt y? 661 Let m = 10 + -1. Suppose 2*n + 4 = 2*j + j, 4*j = -n + m. What is the second derivative of 4*i**4 - 11*i - j*i**4 + 6*i wrt i? 24*i**2 Let b = 13 + -6. Find the third derivative of 3*o**2 - 8*o**6 + 2*o**6 + b*o**6 - 8*o**2 wrt o. 120*o**3 Let n = 6 - 4. Find the third derivative of 7*v**4 + 3*v**n + 0*v + 4*v - 4*v wrt v. 168*v Let x be -4 + 1*(-5 + 12). Suppose h + 16 = 5*h. What is the derivative of h*n + 0*n - x + 0 wrt n? 4 Suppose -9*l + 35 + 19 = 0. Find the second derivative of -24*a + 44*a + l*a + 12*a**3 wrt a. 72*a Differentiate -2592 + 2601 - 199*x + 466*x wrt x. 267 Suppose 4*u + 2 = -z, -z - 2*u = -0 - 2. Let l be (-1)/(-2) + z/4. Find the third derivative of y**2 + 0*y**3 - l*y**3 + 0*y**3 wrt y. -12 What is the second derivative of 31*l**2 + 14*l**2 - 100*l - 104*l + 11*l - 5*l wrt l? 90 Let m(t) be the first derivative of -129*t**5/5 + 6*t + 54. Differentiate m(a) wrt a. -516*a**3 Let j = 27 + -23. Differentiate 17 - j - 2 + 15*t with respect to t. 15 Let f(g) be the first derivative of -4*g**5/5 + 31*g**4/4 - 65*g**3 + 214. Find the third derivative of f(w) wrt w. -96*w + 186 Differentiate 9*a**3 - 22 + 46 + 7*a**3 - 25 + a**2 with respect to a. 48*a**2 + 2*a Suppose c - 14 = -0*c. Let w(u) = u**2 - 13*u - 12. Let r be w(c). What is the second derivative of -3*d + 3*d**2 - 9*d**2 - r*d**2 wrt d? -16 Let m = -2155/12 + 180. Let k(t) be the second derivative of 0*t**3 + 0 - m*t**4 - 1/6*t**6 + 3*t + 0*t**5 + 0*t**2. What is the third derivative of k(o) wrt o? -120*o Let g(u) be the second derivative of 11*u**2 - 3/4*u**5 - 6*u + 0*u**3 + 0*u**4 + 0. What is the first derivative of g(w) wrt w? -45*w**2 Let b(c) be the third derivative of -29/60*c**5 + 10*c**2 - 11/6*c**3 + 0*c**4 + 0 + 0*c. What is the derivative of b(j) wrt j? -58*j Let x(i) = i**3 + 1 - 2*i**3 + 0*i**3 - 2*i**2. Let v be x(-1). Differentiate v*b**3 + 0*b**3 + 1 + 3 - 3*b**3 wrt b. -9*b**2 Let y be 1/(-14) - (-182)/147. Let c(j) be the third derivative of 0 + 0*j**4 - 3*j**2 - y*j**3 + 0*j + 1/60*j**5. Differentiate c(m) with respect to m. 2*m Let d(z) = -4*z - 2. Let t be d(-3). Let i = t + -7. What is the third derivative of 3*x**4 + 3*x**6 + x**2 - i*x**4 wrt x? 360*x**3 Let g(u) be the second derivative of u - 5/2*u**2 + 4/3*u**4 + 0 + 0*u**3. What is the derivative of g(q) wrt q? 32*q Let z be (-2)/8 - (-161)/(-28).
{ "pile_set_name": "DM Mathematics" }
6 - 42*d**2 - 8*d. 41400*d**3 Differentiate -n**3 - 14*n**2 + 126*n + 3640. -3*n**2 - 28*n + 126 What is the derivative of -2*u**4 + 84? -8*u**3 Find the first derivative of 2*h**4*v - 28*h*r*v**3 + 3*h*v**3 + 2*r*v**3 - 513*r wrt h. 8*h**3*v - 28*r*v**3 + 3*v**3 What is the second derivative of 11*f*i*s**2 - 27*f*i + 4*f*s + 2*i + s wrt s? 22*f*i Find the third derivative of 5935*k**3 + 7444*k**2. 35610 What is the second derivative of -1031*h**3 - 2*h - 2907 wrt h? -6186*h What is the third derivative of 4*c*f**3 - 2*c*f**2 - 546*c*f - 120*f**3 wrt f? 24*c - 720 What is the second derivative of -31*t**5 + t**4 + 669*t? -620*t**3 + 12*t**2 Find the second derivative of 14*i**2*j*t**2 - i**2*j*t + 2*i**2*t*x + 2*i**2 + 2*i*j*t**2*x + 4*i*j*t - i*t**2*x - 2*i*t**2 + 9*j wrt i. 28*j*t**2 - 2*j*t + 4*t*x + 4 What is the third derivative of 686*z**3 - z**2 - 327 wrt z? 4116 What is the second derivative of -1004*y**3 - y**2 - 113*y + 22? -6024*y - 2 What is the first derivative of 2*g*o*z - 11*g*z**2 - 39*g*z + 1825*o*z**2 wrt o? 2*g*z + 1825*z**2 What is the third derivative of -11*g**3*j**4*r + 2*g**3*j**2*r - 2*g**2 - 9*j**4*r + 2*j**3*r - j**2 - 5*j*r wrt j? -264*g**3*j*r - 216*j*r + 12*r Find the third derivative of -226*i**4*t**3 - i**4*t + 13*i**2*t**3 + 44*i**2 wrt i. -5424*i*t**3 - 24*i*t Differentiate -4684*b**2 + 2743 with respect to b. -9368*b What is the first derivative of -3*x**2 - 2*x - 952 wrt x? -6*x - 2 Find the first derivative of -2*b**2*p*w - 65*b**2*p - 3*b*p*w + b*w + 2*p*w - 2*p - 1366 wrt b. -4*b*p*w - 130*b*p - 3*p*w + w Find the first derivative of -6083*b**2*r + 275*r wrt b. -12166*b*r What is the second derivative of 758*w**2 - 177*w - 2 wrt w? 1516 What is the second derivative of 2*l**3*n**2 - 5*l**3*n - 2*l**2*n**3 + 5*l*n**3 - 19*l wrt l? 12*l*n**2 - 30*l*n - 4*n**3 What is the second derivative of 51*f**4 + f**2 - 129*f wrt f? 612*f**2 + 2 What is the second derivative of -i**3 + 2*i**2 - 76*i + 8 wrt i? -6*i + 4 Differentiate 5*f*i**2*o**3 + 12*f*i*l*o**3 - i**2*l*o**2 + 5*i**2*o**3 - 2*i**2*o**2 with respect to f. 5*i**2*o**3 + 12*i*l*o**3 Find the first derivative of 123*h**2*s - 756*h**2 + 3*h*s**4 wrt s. 123*h**2 + 12*h*s**3 What is the third derivative of 6416*h**3 - 86*h**2 + 15? 38496 Differentiate -11*k**3*o - 1075*k**3 + 8*k**2*o + 8*k**2 wrt o. -11*k**3 + 8*k**2 Find the third derivative of 18177*l*z**3 + 2358*l*z**2 - 6*l wrt z. 109062*l What is the second derivative of -112*d**3*j**3 - 13*d**3*j - 9*d**3 + 2*d**2*j**4 wrt j? -672*d**3*j + 24*d**2*j**2 What is the first derivative of -2*d*i*m**2 - 88*d*i*m - 95*d*m**2 - 3*i*m**2 + 3*m**2 wrt i? -2*d*m**2 - 88*d*m - 3*m**2 What is the third derivative of -156*b*k**6 - 2*b*k**3 - 49*b*k**2 - 2*k**2 wrt k? -18720*b*k**3 - 12*b Find the second derivative of 17*l**3 - 50*l**2 - 649*l + 2. 102*l - 100 What is the third derivative of -4334*a**3 - 20*a**2 + 31*a wrt a? -26004 What is the second derivative of -2*s*w**4 + 24*s*w**3 + 6*s*w**2 + 2*s*w - 64 wrt w? -24*s*w**2 + 144*s*w + 12*s What is the second derivative of 5*u**4*x - 11*u**3*x + 8*u**3 + 2*u*x + 121*x + 2 wrt u? 60*u**2*x - 66*u*x + 48*u What is the third derivative of -60*d**3 + 78*d**2? -360 What is the derivative of -2*j**2*y**4 + 31*j**2 + 328*y**2 - 1 wrt y? -8*j**2*y**3 + 656*y Find the second derivative of 3497*j**2 - 5*j + 108 wrt j. 6994 What is the first derivative of -1264*x + 1382? -1264 Find the third derivative of -6215*u**5 + 43*u**2 + u - 3. -372900*u**2 What is the second derivative of 15546*a**2 - 5355*a wrt a? 31092 What is the second derivative of 941*m**4 - 234*m? 11292*m**2 Find the third derivative of -11*f**5 + 7*f**4 - 18*f**3 + 8*f**2 + 4*f - 30. -660*f**2 + 168*f - 108 Find the first derivative of 354*b**3*l**2 + 6*b**3 - 10*b**2*l**2 - b**2 + 32*b wrt l. 708*b**3*l - 20*b**2*l What is the second derivative of 8*c**3*j**2 - c**3*t**2 - 7*j**2*t**2 + 2*j**2*t - 2*j*t + t**2 wrt j? 16*c**3 - 14*t**2 + 4*t Find the second derivative of q**5 + 688*q**3*v + q*v - 24*q + 3 wrt q. 20*q**3 + 4128*q*v Find the second derivative of -2*g**3*z - 443*g**3 - 2*g**2*z**3 + 9*g*z**2 - 4*z**3 + 16 wrt g. -12*g*z - 2658*g - 4*z**3 Find the third derivative of f**6*z - 3816*f**3*z - 3*f**2*z - 877*z wrt f. 120*f**3*z - 22896*z Differentiate 4*h*u + 4425*h + 4*u - 1010 with respect to h. 4*u + 4425 What is the third derivative of -66*q**3 - 237*q**2 wrt q? -396 What is the derivative of -2*o**3 - 31*o**2 - o - 4680 wrt o? -6*o**2 - 62*o - 1 Find the second derivative of -2*c**5 + 37*c**4*h + 9*c**3*h - 89*c + 2*h wrt c. -40*c**3 + 444*c**2*h + 54*c*h What is the third derivative of 6731*j**5 - 177*j**2 + 14 wrt j? 403860*j**2 Find the third derivative of -1137*a**3*h*s**3 - 2*a**3*s**3 + 53*a**2*h*s**3 - a**2*h*s**2 + 4*a**2*s wrt a. -6822*h*s**3 - 12*s**3 Differentiate 99*g**2*q - 415*g**2 + 3*q wrt q. 99*g**2 + 3 What is the third derivative of 93*b**3 + 4*b**2 - 2*b? 558 Find the second derivative of -100*a**3 + a**2 - 270*a wrt a. -600*a + 2 Differentiate -4*q*s*v + 45*q*s + 3*q*v + 2*q - 3*s*v - 7*s - 3*v with respect to q. -4*s*v + 45*s + 3*v + 2 Find the second derivative of -1458*w**4 + w**3 + w**2 - 10638*w wrt w. -17496*w**2 + 6*w + 2 Find the second derivative of 95*m**4 + 240*m + 1 wrt m. 1140*m**2 What is the third derivative of 4*f**6*n**3 - 30*f**3*n**3 - 3*f**2*n**2 + 30*f*n**3 wrt f? 480*f**3*n**3 - 180*n**3 What is the third derivative of -5*j**3*x**3 - 6*j**3*x**2 + 3*j**3 - 101*j*x**3 - 4*j*x**2 wrt x? -30*j**3 - 606*j Find the third derivative of -i**3*u**2 - 505*i**3*u + 53*i**2*u - 4*u**2 wrt i. -6*u**2 - 3030*u What is the derivative of -3236*c - 2853? -3236 Find the second derivative of -2*b**3*g + 4*b**3 + 3*b**2*g*y - b**2*g + 382*b*g*y + 2*b*y wrt b. -12*b*g + 24*b + 6*g*y - 2*g What is the first derivative of -21443*m - 15302 wrt m? -21443 What is the first derivative of 263*c**3 - 107? 789*c**2 What is the first derivative of 4*d**3*t*w + d**3*t + 371*d**3*w + 625*d**2*t - 5*d**2*w + d*t wrt w? 4*d**3*t + 371*d**3 - 5*d**2 Find the second derivative of -24*d**2*x**2 + 3724*d**2*x + 18*d*x**2 - 2*x**2 wrt x. -48*d**2 + 36*d - 4 Find the third derivative of -2*y**5 + 514*y**3 - 3906*y**2. -120*y**2 + 3084 Differentiate 16*w**4 - 2*w**2 + 713 with respect to w. 64*w**3 - 4*w What is the third derivative of 2*n**4*t - 207*n**3*t**2 - n**2*t - 33*t**2 wrt n? 48*n*t - 1242*t**2 What is the first derivative of 2*m**2*t + 2343*m**2 - 42*m*t**3 - 10*m*t**2 wrt t? 2*m**2 - 126*m*t**2 - 20*m*t Find the third derivative of 2264*h**6 - 8*h**2 - 55. 271680*h**3 Differentiate -10*j**4 + 3*j*y + 48*y with respect to j. -40*j**3 + 3*y What is the derivative of -g**4*q + 10*g**4 + 24*q wrt g? -4*g**3*q + 40*g**3 Find the second derivative of 751*g**3*j**3 - 2*g**3 + 1071*g*j + 2*j**3 wrt g. 4506*g*j**3 - 12*g What is the second derivative of -3*b*j**3 + b*j**2*p - 14*b*j**2 - 2*b*j*p - 2*b - 78*j*p wrt j? -18*b*j + 2*b*p - 28*b What is the second derivative of 154*i**3 - 501*i wrt i? 924*i Find the second derivative of -634*c**3*f**2 + 6*c**3 - 97*f wrt f. -1268*c**3 Differentiate -514*f*q**2 + 3*q**2 + 6*q with respect to f. -514*q**2 What is the derivative of f*g*i**3*o - 228*f*g*i*o + 1263*f*o + 2*i**3 wrt g? f*i**3*o - 228*f*i*o Find the first derivative of -3*c**2*h*l + 2*c**2*h - 36*c**2*l + 2*c*l - 26*h*l - 1 wrt h. -3*c**2*l + 2*c**2 - 26*l Differentiate -2*k*u**2 + 163*k*u - 202*k - 2*u wrt u. -4*k*u + 163*k - 2 Find the third derivative of -4*g*z**4 - 54*g*z**3 - 2*g + z**4 - 2*z**3 + z**2 - 12 wrt z. -96*g*z - 324*g + 24*z - 12 Differentiate -142*a*m**3 + 2*a*m**2 + 6951*a + 10*m with respect to m. -426*a*m**2 + 4*a*m + 10 Find the first derivative of 80*n**3 - 166 wrt n. 240*n**2 Find the first derivative of -2*i**2*m - i**2 - 2*i*m**2 - 1086*i + 26893*m**2 wrt i. -4*i*m - 2*i - 2*m**2 - 1086 What is the first derivative of -36*h**4*z + 2*h**2*z - 25*z - 2 wrt h? -144*h**3*z + 4*h*z Find the third derivative of 133*f**3 - 1450*f**2. 798 Find the second derivative of -7*q**2*u**3 + 13*q**2 - 2*q + 57*u**3 - 2*u wrt q. -14*u**3 + 26 Find the second derivative of -j**3*t**2 - 4*j**3 - 17*j**2*t**2 - j*t**2 + 2*j*t + 55*t**2 wrt j. -6*j*t**2 - 24*j - 34*t**2 What
{ "pile_set_name": "DM Mathematics" }
*y**2. Determine o, given that w(o) = 0. 0, 1/3, 1, 2 Find c such that 1/8*c**2 - 5/8 + 1/2*c = 0. -5, 1 Let m(y) = -4*y**2 - 9*y - 4. Let k(x) = -1. Let u(h) = 10*k(h) - 5*m(h). Factor u(v). 5*(v + 2)*(4*v + 1) Let m(r) = -r + 8. Let f be m(6). What is w in 5 + 9*w + 3*w**f + 3*w**2 + w - 1 = 0? -1, -2/3 Factor 1 + 12*p + p**2 + p + 5*p - 20*p. (p - 1)**2 Let j(y) be the first derivative of -1 - 1/4*y**2 + 0*y + 1/4*y**3 - 1/16*y**4. Factor j(h). -h*(h - 2)*(h - 1)/4 Let w(v) be the first derivative of -1/20*v**4 + 4/5*v - 3 - 1/5*v**3 + 0*v**2. Factor w(r). -(r - 1)*(r + 2)**2/5 Let o(r) be the first derivative of -2*r**5/5 - 2*r**4 - 4*r**3 - 4*r**2 - 2*r - 4. Find q, given that o(q) = 0. -1 Let t = 227/12 + -69/4. Solve 2/3 + 4*r**2 - t*r**3 - 3*r = 0 for r. 2/5, 1 Suppose -11*n - 10 = -16*n. Let b(k) be the second derivative of 0 - k**n + k**3 - 1/21*k**7 + 1/5*k**6 - 1/5*k**5 - 1/3*k**4 - 3*k. Factor b(a). -2*(a - 1)**4*(a + 1) Let j(x) be the second derivative of 1/35*x**5 - x - 2/21*x**3 + 0 + 0*x**4 + 0*x**2. Factor j(k). 4*k*(k - 1)*(k + 1)/7 Let 2*r**3 + 0*r**3 + 0*r - 8*r = 0. What is r? -2, 0, 2 Factor -2/23 + 0*t + 2/23*t**2. 2*(t - 1)*(t + 1)/23 Factor 0 + 3/4*n**3 + 0*n - 3/4*n**2. 3*n**2*(n - 1)/4 Let q(z) be the third derivative of -1/42*z**4 - 2*z**2 + 1/210*z**5 + 0*z + 0 + 1/21*z**3. Let q(s) = 0. What is s? 1 Let i(x) be the first derivative of -3*x**5/10 + x**3/2 + 5. Factor i(l). -3*l**2*(l - 1)*(l + 1)/2 Suppose 8 = 3*q - 1. Let a(p) be the second derivative of 0*p**2 - 1/45*p**6 + 3*p + 0 - 1/30*p**5 + 0*p**q + 0*p**4. Factor a(n). -2*n**3*(n + 1)/3 Let i = -21 - -15. Let j = -2 - i. What is l in 1/4 - 1/2*l**3 + 0*l**2 - 1/4*l**j + 1/2*l = 0? -1, 1 Determine v, given that -4*v**2 + 11 - 5 - 6 = 0. 0 Let x = -548/3 - -183. Solve -4/3*d - 2/3*d**3 - 5/3*d**2 - x = 0. -1, -1/2 Let b = 4 - 7/2. Let c(u) be the first derivative of -1/4*u**4 + 0*u + b*u**2 + 1/3*u**3 - 1 - 1/5*u**5. Find t, given that c(t) = 0. -1, 0, 1 Let j(s) be the second derivative of -s**5/5 - s**4/3 + 8*s. Factor j(n). -4*n**2*(n + 1) Let b(v) = -v**3 - 5*v**2 - 7*v - 12. Let d be b(-4). Factor -2/5*r**2 + d*r + 2/5. -2*(r - 1)*(r + 1)/5 Suppose -4*r - c = -17, 2*r - 4*c = 4 - 0. Let v(a) be the second derivative of -3/2*a**2 - 3/4*a**3 + 0*a**r + 0 + 4*a + 3/40*a**5. Solve v(y) = 0. -1, 2 Let s be (1 - 2/6) + 35/(-84). Let d(v) be the second derivative of -s*v**4 - 4*v - 3/2*v**2 - v**3 + 0. Suppose d(o) = 0. Calculate o. -1 Let u(n) be the first derivative of n**5/30 - n**3/6 + n**2/6 + 15. Solve u(h) = 0 for h. -2, 0, 1 Let c(l) be the second derivative of l**4/24 - l**3/3 + l**2 - l. Let c(x) = 0. Calculate x. 2 Let t = -2966/11 - -270. What is d in 2/11*d**5 + 0 - 2/11*d**4 - t*d - 6/11*d**3 + 10/11*d**2 = 0? -2, 0, 1 Let x(p) = -p - 1. Let r be x(-6). Suppose -2*h - 1 = -r. Factor 1/3*q**h - 1/3*q**4 + 1/3*q**3 - 1/3*q**5 + 0 + 0*q. -q**2*(q - 1)*(q + 1)**2/3 Let f(p) be the third derivative of -p**5/15 + p**4/6 + 4*p**3/3 - 9*p**2. Factor f(q). -4*(q - 2)*(q + 1) Let v(k) be the first derivative of 392*k**3/9 + 28*k**2/3 + 2*k/3 - 1. Factor v(h). 2*(14*h + 1)**2/3 Let t(x) be the first derivative of -8*x**6 - 72*x**5/5 - 3*x**4/4 + 6*x**3 - 3*x**2/2 - 14. Find l such that t(l) = 0. -1, 0, 1/4 Let u(t) be the first derivative of 1/5*t**6 - 2 + 1/5*t**5 - t**3 - 1/3*t**4 - 2*t - t**2 + 1/21*t**7. Let m(h) be the first derivative of u(h). Factor m(q). 2*(q - 1)*(q + 1)**4 Let d(r) = r**3 - 4*r**2 + 3*r + 3. Let v = -3 + 0. Let z(b) = -3*b**3 + 7*b**2 + b**3 - 5 + 0*b**3 - 5*b. Let m(w) = v*z(w) - 5*d(w). Solve m(o) = 0. 0, 1 Factor 0 + 1/2*a**4 - 1/2*a**3 - 1/2*a**2 + 1/2*a**5 + 0*a. a**2*(a - 1)*(a + 1)**2/2 Find f such that 0 - 1/3*f - 1/3*f**2 = 0. -1, 0 Let j(u) be the second derivative of 0 + 2*u**2 - 3/10*u**5 + 7*u - 7/3*u**3 + 4/3*u**4. Determine a so that j(a) = 0. 2/3, 1 Suppose 0 = 47*x - 52*x + 15. Let m(r) be the second derivative of 0 + 1/12*r**3 + x*r - 1/60*r**6 - 1/4*r**2 + 1/84*r**7 - 1/20*r**5 + 1/12*r**4. Factor m(q). (q - 1)**3*(q + 1)**2/2 Suppose -3*q + 2 = q + 2*m, 0 = 3*q - 5*m - 8. Let l be ((-2)/1)/(q/(-1)). Determine b so that 14*b**4 + 2 + b - 3*b**5 - 14*b**3 - 3*b**4 - 3 + 6*b**l = 0. -1/3, 1 Let n = 84850/79 - 1074. Let t = 746/869 + n. Determine w so that -20/11*w**3 - 10/11*w + t*w**4 + 2/11 + 20/11*w**2 - 2/11*w**5 = 0. 1 Let v(g) = -g**2 + 5*g + 4. Let x(j) = 2*j**2 - 16*j - 12. Let c(d) = -14*v(d) - 5*x(d). Suppose c(q) = 0. Calculate q. -2, -1/2 Let l(b) = b**2 - b - 4. Let r be l(3). Suppose -11*q + 7*q = h - 3, -3*q - 15 = -5*h. Suppose -1/3*f**3 - 1/3*f + q - 2/3*f**r = 0. Calculate f. -1, 0 Let j(x) = 4*x - 4*x + 4*x**2 + 7 + x. Let k(m) = -5*m**2 - 8. Let b(l) = 4*j(l) + 3*k(l). Find t such that b(t) = 0. -2 Let w(v) be the second derivative of -v**4/12 + 2*v**3/3 + 5*v**2/2 - 18*v. Solve w(f) = 0 for f. -1, 5 Factor 6*j**2 - 4*j + 2*j**2 - j**4 + 0*j**3 + 2*j**4 - 5*j**3. j*(j - 2)**2*(j - 1) Let o = -12 - -12. Let -3/4*b + o - 3/4*b**2 = 0. What is b? -1, 0 Let j(o) be the first derivative of 1/28*o**4 - 1/35*o**5 + 0*o**2 + 0*o + 6 - 1/42*o**6 + 1/21*o**3. Let j(z) = 0. Calculate z. -1, 0, 1 Let h = 565 + -565. Suppose 1/4*c**3 + 0*c + 1/4*c**4 + h - 1/4*c**5 - 1/4*c**2 = 0. What is c? -1, 0, 1 Let u = -447 + 2683/6. Factor 0*k**2 - u*k**3 - 1/3 + 1/2*k. -(k - 1)**2*(k + 2)/6 Let x(w) = w**3 + 3*w. Let o be x(3). Let a be ((-1)/3)/((-2)/o). Factor 3*u**2 - 4*u - u**2 - a + 8. 2*(u - 1)**2 Let m(j) = -2 + 4*j + 27*j**2 + 13 - 25*j**2. Let d(t) = t**2 + 2*t + 5. Let c(z) = -9*d(z) + 4*m(z). Find u such that c(u) = 0. -1 Let q(n) = -2*n**3 + 3*n**2 - 2*n + 3. Let j be q(2). Let w be (j - 1)/(-3)*1. Factor 0*i**2 + 0*i**2 - w + 2*i**2. 2*(i - 1)*(i + 1) Let q(d) = -5*d**3 - 5*d**2 + 3. Let v(j) = -9*j**3 - 9*j**2 + 5. Let t(y) = -5*q(y) + 3*v(y). Factor t(c). -2*c**2*(c + 1) Let i be ((-1)/2)/((-2)/8). Suppose 6*l**2 - i*l**2 - 3*l**3 - 2 + 3*l - 2*l = 0. What is l? -2/3, 1 Let p(w) be the third derivative of -1/360*w**5 + w**2 + 0*w**3 + 0 + 1/144*w**4 + 0*w. Factor p(d). -d*(d - 1)/6 Let f(u) be the third derivative of -u**8/1120 + u**6/120 - u**4/16 + u**3/2 - 3*u**2. Let s(o) be the first derivative of f(o). Let s(q) = 0. What is q? -1, 1 Suppose 0 = 3*t - 0*v - 3*v + 12, -3*v + 12 = 3*t. Let j be 5/(1 - 0) - t. Suppose j*s**4 + 3*s - 7*s**2 - 3*s**3 + 2 + s**3 - s**3 = 0. What is s? -1, -2/5, 1 Let o(w) be the first derivative of w**3/15 + w**2/5 + w/5 + 9. Let o(s) = 0. What is s? -1 Let h = 91/33 - 1/11. Solve -h*k + 8/3 + 2/3*k**2 = 0. 2 Let k be 5 + -2 - (6 + -2 + -3). Let s(a) be the first derivative of 2*a**k - 2 - 2*a - 2/3*a**3. Suppose s(p) = 0. Calculate p. 1 Suppose -6*d + d = 0. Let p = 2 - d. Factor -4*n - n**2 - n**2 + p*n. -2*n*(n + 1) Suppose -2*w + 2 + 12 = 2*o, 0 = 2*w - 2*o - 6. Solve -5*f**2 - 1 + 10*f**3 + 4*f - w*f**2 - 5*f**4 + f + f**5 + 0*f = 0 for f. 1 Let b = -7 + 5. Let c be (2/(-1) - b) + 0. Suppose -2*k**5 + k**2 + 4*k**4 - 5*k**2 + c*k**2 + 3*k - k = 0. Calculate k. -1, 0, 1 Let f(x) be the second derivative of -x**5/30 - x**4/9 - x**3/9 + 15*x. Factor f(n). -2*n*(n + 1)**2/3 Let g(k) be the first derivative of -k**7/280 + k**6/60 - k**5/40 + k**3 - 5. Let z(v) be the third derivative of g(v). Determine r, given that z(r) = 0. 0, 1 Let s(x) be the third derivative of -x**9/302400 + x**7/25200 - 7*x**5/60 - 2*x**2. Let o(g) be the third derivative of s(g). Find f such that o(f) = 0. -1, 0, 1 Let j(w) = w - 3. Let n be j(4). Let l(m) = m - 1. Let k be l(n). Solve k*g - 1/3*g**3 - 2/3*g**2 + 0 + 1/3*g**4 = 0. -1, 0, 2 Let a(k) be the second derivative of -2*k**7/147 + 4*k**6/105 - k**5/35 + 6*k. Factor a(d). -4*d**3*(d - 1)**2/7 Find g, given that 5*g + 4*g - 15*g**2 + 18*g**2 = 0. -3, 0 Suppose -o = o + 20. Let t be ((-1 + -1)*1)/o. Factor -t*h + 2/5 - 2/5*h**2 + 1/5*h**3. (h - 2)*(h - 1)*(h + 1)/5 Factor 4/3 + 26/3*k + 40/3*k**2 + 6*k**3. 2*(k + 1)**2*(9*k + 2)/3 Factor -38/9*q**2 - 14/9*q**3 - 16/9*q + 8/9. -2*(q + 1)*(q + 2)*(7*q - 2)/9 Suppose 3*r = -2*f + 12, 3 + 6 = f + 3*r. Let s = 3 - f. Find k such that 0*k**2 - 2/3*k + 2/3*k**3 + s = 0. -1, 0, 1 Let r(l) be the first derivative of l**3 - 6*l**2 + 12*l + 9. Factor r(g). 3*(g - 2)**2 Suppose 2*f + 5*n = 4, 4
{ "pile_set_name": "DM Mathematics" }
j**3 + 4*j**2 + 4*j + 4. Suppose 4 - 8 = 2*o. Let z be (-1)/(9/(-4) - o). Determine z*v(s) - 11*d(s). s**3 Let j = -5 + 7. Let x(r) = 3*r + 3*r - 8*r**2 + j*r**2. Let a(k) = k**2 - k. Calculate 4*a(t) + x(t). -2*t**2 + 2*t Let r(f) = f**3 + 3*f**2 + 4*f. Let p(m) = 4*m**2 + 5*m. What is 4*p(h) - 5*r(h)? -5*h**3 + h**2 Let r(w) = -3*w + 2. Let n(v) = 15*v - 7. Let d(b) = -16*b + 7. Let c(g) = 6*d(g) + 7*n(g). What is 2*c(u) + 7*r(u)? -3*u Let z(b) = -b**2 - 14*b + 4. Let q be z(-15). Let v(g) = 3*g - 3. Let i(j) = -8*j + 9. What is q*v(r) - 4*i(r)? -r - 3 Let g(b) = 19*b**2 - 6*b - 6. Let q(s) = -56*s**2 + 17*s + 17. Calculate -17*g(o) - 6*q(o). 13*o**2 Let s(z) = -7*z**2 - 4*z + 5. Let x(l) = 6*l**2 + 2*l - 5. Let c(o) = -25*o**2 - 8*o + 21. Let w(h) = -2*c(h) - 9*x(h). What is -3*s(y) + 5*w(y)? y**2 + 2*y Let p(f) = -f - 10. Let j(u) = -1. Give -5*j(z) + p(z). -z - 5 Let a be 4/14 - 33/(-7). Let s(w) = 0 + 0 - 4*w + 3*w**2. Let y(c) = -4*c**2 + 5*c. Suppose 2 + 19 = 5*n + g, -g = n - 5. Determine a*s(o) + n*y(o). -o**2 Let m(g) = -g**2 - g - 1. Let a(b) = b**2 + 2*b + 2. Let c be (3 + -2)*-2*1. Determine c*a(k) - 4*m(k). 2*k**2 Let d(f) = -2*f + 2. Let h(u) be the first derivative of -u - 9. What is -d(k) - 4*h(k)? 2*k + 2 Let o(r) = -r - 3. Let j(f) = f + 3. Let l be 2/(-3)*6/1. Calculate l*j(y) - 5*o(y). y + 3 Let p(m) = -25*m. Let j(q) = 4*q. Determine 34*j(s) + 6*p(s). -14*s Let x(i) be the third derivative of i**4/24 - i**3/2 + 7*i**2. Let p(g) = 4*g - 16. Determine 2*p(z) - 11*x(z). -3*z + 1 Let h(y) = -3*y**2 - 1. Let l(z) = -2*z**2 - 1. Let q = 32 + -36. What is q*h(k) + 5*l(k)? 2*k**2 - 1 Let t(m) = 5*m**3 + 4*m - 4. Suppose 0*f - 5*f + 5 = 0. Let j(z) = z**3 + z - 1. What is f*t(r) - 4*j(r)? r**3 Let t be 10/25 - 76/(-10). Let l(b) = 0 + 4*b**3 + 2*b**2 - t*b**3 + 4*b + 4 - 3. Let s(x) = 5*x**3 - 3*x**2 - 5*x - 2. Give 3*l(f) + 2*s(f). -2*f**3 + 2*f - 1 Let w(s) = 4*s - 9*s + 76 - 63. Let g(r) = -3*r + 7. What is -7*g(j) + 4*w(j)? j + 3 Let u(x) = 4*x**3 + 2*x**2 + 3. Let n(q) = -17*q**3 - 8*q**2 - 13. Determine 2*n(g) + 9*u(g). 2*g**3 + 2*g**2 + 1 Let x(w) = -w**2 - w + 1. Let s(t) = -4*t**3 + 6*t**2 + 5*t - 7. Give -s(a) - 4*x(a). 4*a**3 - 2*a**2 - a + 3 Let l(m) = 5*m**2 + 10*m - 5. Let a(n) = n**2 + 2*n - 1. Suppose -13 + 4 = 3*q, -5*q = 2*p + 15. Let w = -6 + p. Let y = w + 4. What is y*l(i) + 11*a(i)? i**2 + 2*i - 1 Let z(o) = 5*o**3 - 4*o**2 + 4*o. Let u(x) be the first derivative of -5/2*x**2 + 5/3*x**3 - 3/2*x**4 + 0*x + 3. Calculate 4*u(l) + 5*z(l). l**3 Suppose -10 = y - 3. Let m = y - 4. Let l(q) = 4*q - 2. Let r(s) = 7*s - 4. Give m*l(x) + 6*r(x). -2*x - 2 Let q(l) = 12*l**2 - 4*l + 4. Let r(k) = -8*k**2 + 3*k - 3. What is -5*q(d) - 7*r(d)? -4*d**2 - d + 1 Let d(o) = 3*o**2 + 6*o - 8. Let v(h) = -3*h + 29 + h**2 + 2*h + 2*h - 30. Give d(b) - 6*v(b). -3*b**2 - 2 Let d(h) = 2*h + 1. Let k = -6 - -6. Let l = 2 + k. Let c(j) = -j**3 + j + 1. Determine l*c(b) - d(b). -2*b**3 + 1 Suppose -2*a = q - 29, 4*q - 8*a = -3*a + 142. Let n(o) = 2*o + 2. Let p(c) = -10*c - 11. Calculate q*n(z) + 6*p(z). 6*z Let z = 4 + -5. Let u(i) = i**2 - i - 1. Let l(g) = 2*g**2 - g - 2. Give z*u(x) + l(x). x**2 - 1 Let d(m) = 3*m**2 - 2*m + 4. Suppose -4*g + 22 = -26. Let q(y) = y**2 - 4*y + 17 - 4*y + g*y**2. Calculate 9*d(f) - 2*q(f). f**2 - 2*f + 2 Let f = 33 - 46. Suppose 2*q - 12 = -0. Let s(m) = -2*m**2 - 13*m. Let j(y) = -y**2 - 6*y. Calculate f*j(n) + q*s(n). n**2 Let z(p) = 20*p**3 + p**2 - 2*p + 2. Let a(w) = 40*w**3 + 2*w**2 - 5*w + 5. Calculate 2*a(h) - 5*z(h). -20*h**3 - h**2 Let v(n) = n**3 + 3*n**2 + n. Let t(j) be the first derivative of j**5/60 + j**4/24 + j**2/2 - 2. Let b(m) be the second derivative of t(m). Give 3*b(r) - v(r). -r**3 + 2*r Let f(d) = 6*d**3 + 6*d - 1. Let o be (-4)/(-6)*(-36)/(-8). Let w(b) = -1 + 5 - 4 + 17*b - 3 + 17*b**o. Determine 11*f(y) - 4*w(y). -2*y**3 - 2*y + 1 Suppose -2*v - 2*v - 14 = x, 27 = 2*x - 3*v. Let i(n) = -4*n + 1. Suppose h + 3*h - 132 = 0. Let s = h + -16. Let t(r) = 11*r - 3. Determine s*i(k) + x*t(k). -2*k - 1 Let g(n) = n - 2. Let i be g(-4). Let p(f) = -1 + 6*f**2 + 6*f - f**2 - 2 + 9. Let c(q) = q**2 + q + 1. Give i*c(o) + p(o). -o**2 Let k(n) = -3*n**3 - 3*n**2 + 3*n - 3. Let y(w) = 9*w**3 + 8*w**2 - 8*w + 8. What is 8*k(r) + 3*y(r)? 3*r**3 Let a be 18*2*(-2)/(-12). Let r(d) be the first derivative of 9*d**2/2 - 2*d + 4. Let b(i) = -4 - 10*i + 6 + 2*i. Give a*r(f) + 7*b(f). -2*f + 2 Let l(s) = s**2 - 4*s + 5. Let j(d) = 2*d**2 - 8*d + 9. Determine -3*j(y) + 5*l(y). -y**2 + 4*y - 2 Let r(m) be the first derivative of -m - 3. Let h(w) = w + 3. Let b be h(-4). Let q(t) = -2*t**2 + 2*t - 5. Calculate b*q(k) + 3*r(k). 2*k**2 - 2*k + 2 Let s(y) = y**2 - y + 1. Let g(l) = -6*l**2 + 4*l - 3. Let a(m) = 4*m - 3. Let c be a(1). What is c*g(n) + 5*s(n)? -n**2 - n + 2 Let m(a) = 20*a**3 - 8*a**2 + 8*a - 2. Let x(t) = 13*t**3 - 5*t**2 + 5*t - 1. Determine -5*m(w) + 8*x(w). 4*w**3 + 2 Let h(u) = 24*u**3 - 14*u - 34. Let o(j) = -5*j**3 + 3*j + 7. Determine -3*h(s) - 14*o(s). -2*s**3 + 4 Let j(q) = q + 1. Let g(d) = -d**2 + 9*d - 10. Let z be g(7). Let k(f) be the second derivative of -f + 5/2*f**2 + 5/6*f**3 + 0. What is z*k(t) - 22*j(t)? -2*t - 2 Let r(m) = 2*m**3 + 3*m**2 + m - 3. Let l(x) be the second derivative of x**5/4 + 7*x**4/12 + x**3/3 - 7*x**2/2 - 28*x. Give -3*l(u) + 7*r(u). -u**3 + u Let c(u) = -2*u - 29. Let n be c(-11). Let t(d) = -5*d**2 + 6*d. Suppose -3*r = r + 12. Let l(w) = 11*w**2 - 13*w. Determine n*t(p) + r*l(p). 2*p**2 - 3*p Let j(n) = -4*n - 4. Let q(g) be the first derivative of 9/2*g**2 + 9*g + 4. What is 7*j(f) + 3*q(f)? -f - 1 Let x = 14 - 9. Let y(r) = -6*r - 5. Suppose -15 = -2*l - t, -3*t = -3*l + 2*l + 18. Let m(d) = 2 + 2*d - 8 - l*d. Give x*y(w) - 4*m(w). -2*w - 1 Let j(p) = -4*p**3 + 5*p**2 + 7*p. Let z(a) = a**3 - a**2 - a + 1. Calculate -j(m) - 5*z(m). -m**3 - 2*m - 5 Let w(j) = -2*j**2 + 4*j - 4. Let p(o) be the first derivative of -o**2/2 + o - 7. Determine 4*p(l) + w(l). -2*l**2 Let q(b) = b**2 + b + 1. Let r(y) = -8 + y + 0 + 8. What is -q(w) - r(w)? -w**2 - 2*w - 1 Let y = 16 - 25. Let i(m) = -2*m**2 + 3. Let u(n) = -5*n**2 + 7. Let w be ((-6)/4)/(6/(-32)). Let k = 12 - w. Calculate k*u(x) + y*i(x). -2*x**2 + 1 Let q(o) = -12*o + 7*o + 4*o. Let m(s) = -4*s. What is -6*m(i) + 26*q(i)? -2*i Let h(a) = a + 3. Let b(j) = -j - 4. Let p(w) = -3*w**2 + 4*w + 3. Let c(f) = f**2 - f - 1. Let o(u) = 2*c(u) + p(u). Let s be o(-1). Determine s*b(n) - 3*h(n). -n - 1 Let l(b) be the first derivative of -b**3/3 + b + 1. Let g(o) = 3*o + 35. Let i be g(-12). Let s(h) = -h**3 + 2*h**2. What is i*s(p) - 2*l(p)? p**3 - 2 Let s(h) = -h**2 + 9*h - 2. Let m(l) = -l**2 + 18*l - 4. Calculate -4*m(d) + 7*s(d). -3*d**2 - 9*d + 2 Let r(j) = 13*j**3 + 4*j**2 + 34*j. Let b(m) = -4*m**3 - m**2 - 11*m. Give -7*b(x) - 2*r(x). 2*x**3 - x**2 + 9*x Let a(v) = -4*v**2 + 2*v. Let c(l) = -17*l**2 + 9*l. Calculate 18*a(m) - 4*c(m). -4*m**2 Let s(o) = 4*o**2 + 5*o + 5. Let b = 33 + -30. Let q(a) be the first derivative of -3*a - 3/2*a**2 - 2/3*a**b - 1. Determine -5*q(d) - 3*s(d). -2*d**2 Let y(q) = 4*q**3 + 12*q**2 + 9*q - 15. Let r(a) = -2*a**3 - 6*a**2 - 4*a + 7. Determine -9*r(v) - 4*y(v). 2*v**3 + 6*v**2 - 3 Let d(n) be the first derivative of 5/3*n**3 + 0*n**2 + 5*n - 1 - 1/4*n**4. Suppose -11*w + 12*w = 6. Let o(i) = -i**3 + 6*i**2 + 6. Determine w*d(p) - 5*o(p). -p**3 Let p(j) = -j - 1. Let l(q) = -3*q + 2. Calculate -l(k) - 6*p(k). 9*k + 4 Let q(x) = x. Let f(z) be the third derivative of 0*z + 1/3*z**3 - 5/24*z**4 + 2*z**2 + 0 - 1/60*z**5 + 1/60*z**6. Calculate -f(i) - 5*q(i). -2*i**3 + i**2 - 2 Let t(h) = -2*h**3 - 3*h**2 + 6. Let k(a) = 3*a**3 + 4*a**2 - 7. Calculate -5*k(w) - 6*t(w). -3*w**3 - 2*w**2 - 1 Let q(g) = -6*g**3 - 2*g**2 - 2*g + 4. Let x(r) = r**2 + 2*r. Let y be x(-3). Let k(l) = -9 + 17*l + 5*l**2 - 7*l + 13*l**y - 5*l. What is 4*k(m) + 9*q(m)? -2*m**3 + 2*m**2 + 2*m Let l(g) = -4*g + 3. Let k(v) = -4*v + 2. Let f(d) = -5*k(d) + 4*l(d). Let j(a) = 8*a + 4. Give 5*f(q) - 2*j(q). 4*q + 2 Let q(s) = s + 5. Let k(t) be the third derivative of t**3/6 - 6*t**2. What is 5*k(r) - q(r)? -r Let n(y) = 13*y**2 + 9*y - 20. Let d(v) = 3*v**2 + 2*v - 5. Give -9*d(i) + 2*n(i). -
{ "pile_set_name": "DM Mathematics" }
-2 + 3*(-15)/(-3)? 11 Let j = 4 + -2. Suppose 65 = 5*b - 2*w, -j*w - 80 = -5*b + 3*w. Suppose f - 3*a = 10, 16 = 3*f + 4*a - 6*a. What is the remainder when b is divided by f? 3 Let n = -14 - -16. Suppose -n*i + 36 = 2*i. Calculate the remainder when i is divided by 4. 1 Let t be (-3)/9 - (-8)/6. Suppose -b = -3*y + t, 4 = 3*y - 4*b - 0. Suppose y*g - g = -34. Calculate the remainder when g is divided by 12. 10 Let g = -54 + 92. What is the remainder when g is divided by 13? 12 Let p(y) = y**2 + 17*y + 22. Calculate the remainder when p(-19) is divided by 32. 28 Suppose 0 = -5*x + 12*x - 84. What is the remainder when (-548)/(-12) + 6/(-9) is divided by x? 9 Let a(r) = r**3 - 5*r**2 + 7*r - 5. Suppose 7*o = 3*o - 88. Let z = -16 - o. Calculate the remainder when a(z) is divided by 19. 16 Suppose 5*j = r + 2*r + 115, 2*r - 3*j + 75 = 0. Let l = r + 34. Suppose -14 = -z + f - 5, 0 = -4*z + 3*f + 33. What is the remainder when z is divided by l? 2 Suppose 34 + 21 = 5*r. Calculate the remainder when r is divided by 4/6 + (-20)/(-6). 3 Suppose 3*s = 6*s - 6. Suppose s*u - 30 = -u. Suppose -3*y + u = -4*v, 3*y = -v + 7 + 28. Calculate the remainder when 27 is divided by y. 7 Suppose -4*i - i + 2*f = -127, -2*i = f - 49. Suppose 0 = -2*l + l + i. Let o = -9 + l. Calculate the remainder when 47 is divided by o. 15 Let r(c) = -8*c - 100. Let v(t) = -3*t + 1. What is the remainder when r(-16) is divided by v(-3)? 8 Suppose -3*q + 36 - 9 = -2*r, -5*q = -3*r - 44. Suppose p = 3*j - 11, q*j - 2*j = -5*p + 45. What is the remainder when 43 is divided by (-295)/(-20) - (-1)/p? 13 Suppose -15 = 2*l - 3*k - 59, 0 = 3*l + k - 44. Suppose -l = 2*t + 14. Calculate the remainder when 16/(-6)*t/2 is divided by 7. 6 Let t(m) = m - 2. Let u be t(6). Suppose 0 = -i + u*i - 465. Suppose -i = 3*d - 8*d. What is the remainder when d is divided by 8? 7 Let b = 4 - 5. What is the remainder when 63/6*(-4)/(-6) is divided by (-6)/(b + 0 + -1)? 1 Let g(m) = -13*m - 23. Suppose 5*o - 32 = -2*d + o, 5*o - 25 = 0. Calculate the remainder when g(-3) is divided by d. 4 Calculate the remainder when 65 is divided by 10/(-25) + 1062/30. 30 Suppose -2*a = -a - 26. Let p(k) = 8*k + 17. What is the remainder when p(4) is divided by a? 23 Suppose 0 = 3*y - 10 - 5. Suppose y*b - 8 - 132 = 0. Calculate the remainder when b is divided by 10. 8 Let k(w) = w - 13. Let v be k(7). Let q(x) = -6*x + 2. Let z(a) = a**3 + 13*a**2 + 11*a - 2. Calculate the remainder when q(v) is divided by z(-12). 8 Let f(m) = -m**3 + 14*m**2 + 21*m + 13. What is the remainder when f(15) is divided by 21? 19 Let o(v) = 3*v + 7. Let p be o(-5). Let q = p + 30. What is the remainder when q is divided by 6? 4 Let o = -6 - -11. Let b(s) = -s + 1. Let q be b(-3). Suppose -q - o = -t. Calculate the remainder when 17 is divided by t. 8 Suppose -x + 10 = 3. Let u(r) = -r**3 + 7*r**2 - r + 6. Let p be u(x). Calculate the remainder when (3 - 4) + (-15)/p is divided by 8. 6 Let t(i) = i**3 - 8*i**2 + 9*i + 1. What is the remainder when 43 is divided by t(7)? 13 Suppose 5*b + 0*b = 30. Suppose -5*n + 2*n + b = 0. Let r = 8 - 4. What is the remainder when r is divided by n? 0 Suppose 0 = 2*t - 5 - 121. What is the remainder when t is divided by 22? 19 Let l(v) be the first derivative of v**2 + 5. What is the remainder when l(10) is divided by 12? 8 Let z(x) = -2*x + 13. Let t(n) = -3*n + 14. Let o(q) = 6*t(q) - 7*z(q). Calculate the remainder when 38 is divided by o(-5). 12 Let q(u) = u**2 + 7*u - 4. Let t(c) = -c**2 + 5*c + 5. Let d be t(7). Calculate the remainder when q(d) is divided by 8. 6 Let j be 3/6 + 9/2. Let a(z) = 5*z**2 + 3*z. Let l be a(j). What is the remainder when l/18 - (-16)/72 is divided by 5? 3 Let y = 0 - -4. Suppose y*i + i + 200 = 0. Let l = 80 + i. What is the remainder when l is divided by 14? 12 Let t = -17 - -21. Suppose 25 = 5*m, -5*a - 5*m + 43 = -t*a. What is the remainder when a is divided by 5? 3 Let r(m) = 10*m - 3. Let u(k) = -k**2 - 5*k - 2. Let z be u(-4). Suppose -3*v + 35 = z*v. Calculate the remainder when r(v) is divided by 17. 16 Let j = -28 + 33. What is the remainder when j is divided by (-5)/((-10)/(-3))*-2? 2 Suppose 11*n - 4*n = 126. Calculate the remainder when n is divided by 3. 0 Let k = 110 + -48. Suppose 98 + k = 5*m. What is the remainder when m is divided by 11? 10 Let u = -1 - -18. Let p = u - 12. What is the remainder when 16 is divided by p? 1 Let n(a) = 2*a**3 - 5*a**2 + 3*a + 3. What is the remainder when n(4) is divided by 13? 11 Let y(q) be the third derivative of -3*q**4/8 - q**3/2 + 6*q**2. Calculate the remainder when y(-3) is divided by 9. 6 Let c(b) = 2*b**2 + 8*b + 16. Let d be c(-7). Let g = -30 + d. Calculate the remainder when g is divided by 10. 8 Let z(x) = x**3 + 8*x**2 - 9*x + 10. Calculate the remainder when 37 is divided by z(-9). 7 Suppose -2 - 6 = 2*g. Suppose 7*l - 3*l = -2*v + 26, 4*v = 4*l - 56. Let o = g + l. What is the remainder when 14 is divided by o? 4 Calculate the remainder when 145 is divided by 50 + -3*4/12. 47 Let z(h) = -3*h**2 + 24*h + 8. Suppose 5*p + 6 = 4*t, 2*p + 2*t - 6 = 6. Suppose 3*m + p*m = 105. What is the remainder when m is divided by z(8)? 5 Calculate the remainder when 45 is divided by 107/6 + (-3)/54*-3. 9 Suppose -63*t - 10 = -65*t. Let r = 4 + 4. What is the remainder when r is divided by t? 3 Let k be -2*28/(-8) + 3. Let s = 20 - k. What is the remainder when 39 is divided by s? 9 Let f(c) = c + 13. Let z be f(-11). What is the remainder when z/(-6) + 608/6 is divided by 26? 23 Let y(r) = -r**2 - 2*r + 1. Let g be y(-2). What is the remainder when 30 is divided by (3 + g)*(2 + 0)? 6 Let c = -84 - -23. Let w(b) = b**2 - 9. Let o be w(0). What is the remainder when (-2)/(-9) + c/o is divided by 3? 1 Suppose 0 = -s + 2*c + 48, -4*s = s + 3*c - 279. What is the remainder when 267 is divided by s? 51 Suppose 3*l = 7*l - 116. Calculate the remainder when l is divided by 4. 1 Suppose 282 + 366 = 4*w. What is the remainder when w is divided by 15? 12 Suppose 4*n = 2*q + 2*q - 52, -2*q + 5*n = -38. What is the remainder when q is divided by 3? 0 Let d(r) = r + 3. Let f be d(-3). Suppose 30 = 4*k - 4*y + 10, -2*k - 3*y = f. Calculate the remainder when 23 is divided by 34/k - 2/(-3). 11 What is the remainder when ((-9)/27)/((-1)/66) is divided by 12? 10 Let w = 49 - 27. Let d(s) = s - 6. Let n be d(8). Let c = 6 + n. What is the remainder when w is divided by c? 6 Suppose 0*z - 100 = -4*z. Let h = z + 11. Calculate the remainder when h is divided by 19. 17 Let p(m) = 4*m - 5. Let w be p(5). Let y = w - 1. Suppose 10 + y = 3*k. Calculate the remainder when 14 is divided by k. 6 Suppose 0 = -3*f - 2*f + 535. What is the remainder when f is divided by 27? 26 Suppose -3*y = -4*o + 327, 0 = -o + 7*y - 4*y + 84. What is the remainder when o is divided by 14? 11 Suppose -4*t = y - 55, -3*t - 2*t - 3*y = -74. Let p = 70 + -33. Calculate the remainder when p is divided by t. 11 Let x = 10 + -6. Suppose 0 = -x*k - w + 60, -2*w + 4*w = 5*k - 88. Calculate the remainder when k is divided by 9. 7 Let x = 12 + -7. Suppose 0*r - 3 = -b + 2*r, -2*b + x*r = -3. Calculate the remainder when ((-10)/(-4))/((-2)/(-20)) is divided by b. 7 Let a(n) = -n**2 + 13*n - 11. Let s be a(12). Let p be (s - 2)*5*-2. Let j = p + -7. Calculate the remainder when 3 is divided by j. 0 Suppose -4*t + 5*t - 54 = 0. Calculate the remainder when t is divided by 1/(64/(-22) - -3). 10 Suppose 0 = 5*o - x - 17 - 39, -20 = -5*x. Calculate the remainder when 33 is divided by o. 9 Let q(s) = -s**3 + 5*s**2 + 2*s - 6. Let r(w) = w**2 + 8*w - 4. Let v be r(-9). Suppose -4*d + 2 = -22. What is the remainder when d is divided by q(v)? 2 Let b be (-2)/(-9) - 68/(-18). Suppose 4*l + 2 - 6 = -b*r, 4*r = l - 1. What is the remainder when l is divided by 1? 0 Let w be 2 - 1 - (2 - -1). What is the remainder when 911/11 - w/11 is divided by 28? 27 Let x(z) = 3 - 8 - z + 4 + 11*z**3 + z**2 - 43*z**3. What is the remainder when x(-1) is divided by 17? 16 Suppose 3*n + 2*n + 3*m - 56 = 0, 2*m + 71 = 5*n. Calculate the remainder when 97 is divided by n. 6 Suppose 2*s = -2*c + 6, -4*c + 2*s - 6 = c. Suppose -2*g - 4*n + 24 = c, 4*n = 11 + 9. Let a = 27 + g. Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
0 Solve -4*p + h + 25 = 0, 10*p + 5*h + 61 = 14*p for p. 4 Solve 4*j = 14*r + 12, -67*j = -32*j - 37*j + 4*r for j. -4 Solve -4*k - 5*f = -18 - 5, 0 = -4*k + f + 5 for k. 2 Solve 0 = 3*t + 15, 206*t + 15 = -s + 203*t for s. 0 Solve 17 = 3*w - 4*t, 20*t = -w + 16*t + 11 for w. 7 Solve -84*u - y = -89*u + 40, -4*u + 5*y + 11 = 0 for u. 9 Solve -3*b + 20 = 5*t, 610*t = b + 613*t - 12 for b. 0 Solve -73*x - 2*g = -72*x + 1, 5*x = -2*g - 45 for x. -11 Solve -3*a + 5*b + 13 = 0, 0 = -2*a + 4*b - 63 + 73 for a. 1 Solve 0 = -31*c + 26*c + 10, 0 = -2*a - 0*a - 16*c + 60 for a. 14 Solve -4*k + 36 = -2*f, 87*k + 16*k + f - 507 = 0 for k. 5 Solve -4*v + 17 - 3 = -j - 6, 8*v - 40 = 0 for j. 0 Solve 0 = 56*s - 58*s + 8, 4*f + 3*s = -4 for f. -4 Solve b = 4*y - 17 - 6, 0 = 4*b + 3*y - 3 for b. -3 Solve 0 = m, -10504*m = h - 10510*m - 4 for h. 4 Solve -6*n = -u + 82, 0 = -23*u + 28*u + 3*n + 52 for u. -2 Solve 47*v = -c + 44*v + 72, 3*v = c + 72 for c. 0 Solve -3*y + 3*u = -12, u - 176 = 3*y - 178 for y. -1 Solve -b = u - 9, u - 2*b - 685 = -715 for u. -4 Solve 2*n + 1556*b + 12 = 1561*b, 3*n - 2*b = -7 for n. -1 Solve 0 = -4*f - 5*h + 24, -4*f + 273*h = 274*h - 8 for f. 1 Solve -5*i - 11 = 4*a, 5*a - 79 = 4*i - 103 for i. 1 Solve 10*r - 51 = 6*r - 5*i, 0 = i - 3 - 8 for r. -1 Solve -4*u - p = -18, 2*u + 2*p + 273 = 291 for u. 3 Solve -3*c - 4*a + 23 = 0, 0 = -c + a + 4 - 1 for c. 5 Solve 28*f = 3*p + 29*f + 9, -5*p - 49 = -4*f for p. -5 Solve 71 = 4*h - 3*c + 80, -9 = -3*h - 3*c for h. 0 Solve 16 = 2*x + 2*n, -3*x + 2*x + n = 0 for x. 4 Solve 0 = 7*d + 5*i + 5 + 13, d + 133*i + 30 = 146*i for d. -4 Solve 0 = -118*f + 119*f + 5*m - 21, 2*f - 3*m + 23 = 0 for f. -4 Solve x + 6 = g, 42 = -20*g + 34*g for x. -3 Solve 0 = -2*p + 339*o - 336*o - 8, 4 = -p + 5*o for p. -4 Solve 12 + 19 = 3*l + 4*g, g - 9 = -l for l. 5 Solve -5*l - 10181 = -2*w - 10173, 72 = -4*w - 12*l for w. -6 Solve 2*k - 5*j - 71 + 75 = 0, -3*k + 4*j = 20 for k. -12 Solve -5*p = q + 3588 - 3563, 0 = 14*q + 3*p + 82 for q. -5 Solve 3*v + 21 = -3*g, 5*v - 95*g + 94*g + 5 = 0 for v. -2 Solve 4*z + 32 = 2*a, 0 = -28*a + 20*a + 7*z + 56 for a. 0 Solve -4 = h, -4*b + 6*h = 10*h - 16 for b. 8 Solve 5*r = 4*l - 5*l - 19, -1 = -l for r. -4 Solve 5*s + 154 = 11*l + 192, 4*s - 46 = 14*l for l. -3 Solve 2*b + 4*v + 119 = 115, -4*b + v - 8 = 0 for b. -2 Solve -4*z = -3*b + 9, 12*b - 90 = -4*z - 18*b for z. 0 Solve 5*r - 194 = -3*d - 226, -40 = 2*r + 8*d for r. -4 Solve -2*x + 5*t = -12, 0 = 4*x + 150*t - 146*t - 24 for x. 6 Solve 5*z = -4*w + 31, 22 = -5*z + 37 for w. 4 Solve -u - 246*d + 17 = -248*d, 11 = 3*u - d for u. 1 Solve 1 = t + 3*m, 3*t - 79*m + 82*m = 15 for t. 7 Solve 4*t - 1488 = x - 1499, 5*t - 2 = -4*x for t. -2 Solve 32345*z = -i + 32347*z + 10, -14 = -5*i + z for i. 2 Solve 1740*z - 4*f = 1735*z - 47, 5*z = 5*f - 50 for z. -7 Solve 1326 = -q - 3*d + 1336, -2*q - 25 = -3*d for q. -5 Solve s - 2*j = -6, 0 = 5*s + j - 21 + 73 for s. -10 Solve -4*c - 15 = -3*w - 60, 4*w = -3*c + 40 for c. 12 Solve 3*t - m - 6 = -7, 0 = 4*t - 2*m + 2 for t. 0 Solve 4*q - b + 26 = 0, 5*b - 20 = 379*q - 381*q for q. -5 Solve 13*h = 65, -4*f + 8*f - h - 9 - 6 = 0 for f. 5 Solve -2*p = -2*z + 16, 13*z + 2*p = 18*z + 4*p - 12 for z. 4 Solve 8 = f + 3*b, -1938*f = -1935*f + 4*b - 14 for f. 2 Solve 18232 - 18234 = l, 3*h + l = -20 for h. -6 Solve -1626*p = -1629*p + 3*g + 60, 3*g = -2*p + 60 for p. 24 Solve w + 14 = 4*k, 2*w - 37*k = -34*k - 13 for w. -2 Solve 5*x + 15*o = -105, 35*x - 38*x - 5*o - 47 = 0 for x. -9 Solve 9*a + 5 = 14*a - 10*a, -4*a = 5*z + 9 for z. -1 Solve 2*r + 0 = 2, 16*r = 2*z + 13*r + 13 for z. -5 Solve -102*t = -111*t - 2*d - 20, 0 = 2*t - 5*d - 1 for t. -2 Solve 0 = -5*z - 4*j - 45, -36 = 3*z - j - 26 for z. -5 Solve 0 = 8*h - 9*h + 11, 0 = 19*f - 23*f + 2*h - 42 for f. -5 Solve 56 = 5*t + 2*q - 5*q, 0 = -0*q - 5*q - 10 for t. 10 Solve 0 = s + 2, -7*q + 2*s - 80 + 112 = 0 for q. 4 Solve -177*d + 176*d + 2*p = 3, p = -2*d + 19 for d. 7 Solve -252 + 222 = -2*r + 2*k, -3*r - 5*k + 5 = 0 for r. 10 Solve -2915*w + 2919*w = 16, f + w + 6 = 0 for f. -10 Solve 4*g - 20 = 2*v, 12275*g = 4*v + 12271*g + 28 for v. -4 Solve -5*f + 872*q = 875*q - 16, 18 = 4*f + 5*q for f. 2 Solve -2*h = -3*h, 0 = 3*i - h + 3 - 3 + 6 for i. -2 Solve 0 = -t + 2*f + 6, -20 + 8 = 5*t + 4*f for t. 0 Solve -4*m = 5*t - 32, -112*t - 14 = 2*m - 117*t for m. 3 Solve -3*s - 11*u + 35 = 0, -22*s - 5*u + 21 = -20*s for s. 8 Solve -8*a + x = 49, -46 = -2*a - 4*x - 54 for a. -6 Solve -4*y = -2*i + 84, -1536*i - 3*y = -1532*i + 52 for i. 2 Solve 2*y + 1506 = m + 1519, -3*y - m = -12 for y. 5 Solve -3 = p - 437*c + 438*c, 4*c - 4 = 0 for p. -4 Solve 2*r + t + 14 = 22, -46*r + t = -232 for r. 5 Solve -2038*f + 2037*f - 21 = 4*r, 4*r = -3*f - 15 for r. -6 Solve -3*h + 2*v + 17 = 0, 7*h + 26 = 9*h - 5*v for h. 3 Solve -6*l = 2*j - 0*j + 39 - 15, -2*l - j = 7 for l. -5 Solve -12 = -2*a + 213*h - 215*h, -5*a + 58 = -2*h for a. 10 Solve -44*g + 40*g + 36 = 8*k, 4*k - 8 = 0 for g. 5 Solve 14 = u + 5*l, -3*l + 317 = -3*u + 359 for u. 14 Solve -5*c = 4*b - 19, -5*b + 41*c = 38*c + 4 for b. 1 Solve -8 = 4*r - p, 34*r - 4*p + 17 = 33*r for r. -1 Solve -o + 52 = 5*z, -z - 4*o = -46 + 47 for z. 11 Solve -667*j + 662*j + 4*l = -21, 4*j + l = 21 for j. 5 Solve 0 = -2*t + 2*d - 13 + 35, 7*d = -3*t + 73 for t. 15 Solve -4*w = -q - 2*q + 138 - 131, -2*q = -4*w - 10 for q. -3 Solve 6*r + 59 = g, 5*r + 51 = -6010*g + 6009*g for g. -1 Solve 0 = -659*k + 662*k - 4*v + 16, -5*v + 20 = -k for k. 0 Solve -2*s - 540*r - 9 = -543*r, -2*r - 70 = 24*s for s. -3 Solve 3*b - 3*j = 15, -2*b = 102*j - 107*j - 22 for b. 1 Solve 164*p - 168*p = z - 8, -3*p = z - 7 for z. 4 Solve f = -5*t + 3 - 28, 4*t = 2*f - 6 for f. -5 Solve 2*u - 2*m - 20 = 0, 85*u - m = 87*u + 1 for u. 3 Solve -2*k = 5*q - 31, -75*q - k = -69*q - 33 for q. 5 Solve 5*d + 2*s - 49 + 25 = 0, -3*s + 10 = d for d. 4 Solve -3*j = 1398*m - 1395*m - 3, 27*m - 5*j + 133 = 0 for m. -4 Solve 2*s - 44 = -4*c, 40*c + 23*s - 19*s = 504 for c. 13 Solve 1167*v = 5*z + 1170*v - 24, -4*z + 2*v + 6 = 0 for z. 3 Solve -960*j + 960*j - 4*y = 0, -y = 5*j - 35 for j. 7 Solve 3*a = -2*d + 19, -d - 153*a = -154*a - 2 for d. 5 Solve -2*j = 4*d + 22, d + 30 - 32 = 2*j for d. -4 Solve -52 = 4*d + p, 4*d - 4*p = -98 + 26 for d. -14 Solve 5*s = 4*h + 14, -3*h - 42*s = -47*s + 18 for h. 4 Solve 0 = -s + 3, l - 64*s + 14 = -60*s for l. -2 Solve 0 = 4*o - 20, -5*v = 1743*o - 1745*o + 25 for v. -3 Solve 3*y + 8 + 20 = 4*p, -8*y - 5*p - 12 = 0 for y. -4 Solve l - 596 + 604 = 2*b, 4*b - 22 = -l for l. 2 Solve -s + 2*z + 9 = 0, 483 = -3*s + 2*z + 498 for s. 3 Solve -1 = 2*v + j, 2*v + 28192 - 28179 = 3*v - 4*j for v. 1 Solve z + 7*w + 4*w - 9*w = -16, -7*w = -6 - 1 for z. -18 Solve -2*r = -401*i + 403*i - 4, 5*i = 3*r - 30 for r. 5 Solve 353*y = -3*p + 355*y + 14, p = 8*y + 34 for p. 2 Solve 0 = -5*y - 2*n + 31, -5*n + 30 = 40 for y. 7 Solve -2*b - 12 = 2*k, -4*k + 14 + 4 = -2*b for k. 1 Solve 26*w + 3*a = a + 30, 15*a = 18*a - 6 for w. 1 Solve 3*w - o - 16 = 0, -12132*o - 40 = -5*w - 12127*o for w. 4 Solve -20 = -11*i + 14*i + 4*f, -5 = 2*i + f for i. 0 Solve 5*a - 215 + 128 = -2*z, -4*z = -3*a + 47 for z. 1 Solve 14*o + 89 = -3*r, -2*r = 453*o - 454*o - 13 for o. -7 Solve 0 = -11*s - 5*x - 236, 105*s - 2*x + 103 = 100*s for s. -21 Solve -3*n + 30 = 5*h, 0 = -4*n - 5*h - 42 + 77 for n. 5 Solve -l = 3*v + 25 - 11, 10 = -2*v for l. 1 Solve 43*p - 2*u = 45*p + 12, -4*p = -u - 11 for p. 1 Solve 58*l - 49*l = 4*x - 9, -2*l = 4*x - 42 for l. 3 Solve -9*b - 8 = 2*j + 2, -2*b + 12 = 4*j for j. 4 Solve 590*g = 589*g - p + 7, 2*g - 5*p + 21 = 0 for g. 2 Solve 30 = 6*m + 22*y - 25*y, 207 - 167 = 2*m - 4*y for m. 0 Solve 2*s = -4*f - 10 + 8, -13 = f - 2*s for f. -3 Solve 0 = 5*x + 2*t + 33, 5*t + 45 = -3*x + 10 for x. -5 Solve 87*i - 83*i = 4*z, 4*i - 3*z - 4*z = -12 for i. 4 Solve 0 = 5*k + 3*o + 20, -3987*k + 3991*k + o = -23 for k. -7 Solve 3*i - 5*h = 344 - 366, 0 = 2*i - h + 10 for i. -4 Solve -2*p - 2*p + 0*p - m + 5 = -p, 4*m = -4 for p. 2 Solve -2*v + 7 = 3*b - 7, 43*v - 152 = -b + 116*v for b. 6 Solve 5*o + 60*l - 58*l = 20, -o = 2*l - 12 for o. 2 Solve 4*w - 21*j + 24*j = -26, w = -5*j - 15 for w. -5 Solve 3*a = 7*g - 27, 2*g - 68*a = -6
{ "pile_set_name": "DM Mathematics" }
Factor -90/7*g**2 + 50/7*g**3 - 6*g + 14. 2*(g + 1)*(5*g - 7)**2/7 Let m(w) be the second derivative of 21/40*w**6 - 3/8*w**4 - 9/56*w**7 + 2 + 3/8*w**3 + 144*w - 3/8*w**5 + 3/8*w**2. Factor m(o). -3*(o - 1)**3*(3*o + 1)**2/4 Let r be (6 - (4 - 43))*12/20. Let f be (-6)/r*-3*117/26. Factor f*y + 1/4*y**2 + 9. (y + 6)**2/4 Let j be 13/(455/(-14))*-10. Let u be (-10)/25*(-50)/j. Factor -2/3*i**3 - 2/9*i**u + 0 + 2/3*i**4 + 0*i + 2/9*i**2. -2*i**2*(i - 1)**3/9 Let p be -3 + (-4)/(95/15 + -7). Let w(k) be the first derivative of -2*k**4 + 0*k - 4/3*k**p + 2*k**2 - 19. What is l in w(l) = 0? -1, 0, 1/2 Let j(w) = 7*w**3 - 510*w**2 - 664*w - 66. Let d(c) = -3*c**3 + 255*c**2 + 336*c + 33. Let y(z) = 9*d(z) + 5*j(z). Solve y(f) = 0. -1, -1/8, 33 Let 0*w + 71/7*w**4 + 0*w**2 + 0 - 1/7*w**5 + 72/7*w**3 = 0. Calculate w. -1, 0, 72 Let j(x) be the third derivative of 1/135*x**6 + 0 + 32*x + 11/108*x**4 - 2*x**2 + 2/27*x**3 + 13/270*x**5. Determine m so that j(m) = 0. -2, -1, -1/4 Let t(h) = -h**3 - 17*h**2 - h - 10. Let n be t(-17). Let k(r) = -r**2 + 3*r + 28. Let m be k(n). What is d in m + 1/4*d**2 + d = 0? -4, 0 Let y(p) = 2*p**2 + 278*p + 1852. Let s be y(-7). Let j(k) be the second derivative of 0*k**2 + 1/102*k**s + 0 - 46*k + 0*k**3. Factor j(g). 2*g**2/17 Let z be (18 - (-2331)/(-168))/(36/312). Factor -169/4 + 25/4*p**2 + z*p + 1/4*p**3. (p - 1)*(p + 13)**2/4 Let z(n) be the second derivative of -n**4/3 + 40*n**3/3 + 88*n**2 - 2906*n. Factor z(k). -4*(k - 22)*(k + 2) Suppose 10*b = -25 + 45. Factor 3*d**b - 11664 + 209*d - 7*d**2 + 223*d. -4*(d - 54)**2 Let g = 41411/16 + -2588. Let o(k) be the second derivative of -3/8*k**3 + 3/8*k**2 - 3/80*k**5 + g*k**4 - 33*k + 0. Solve o(c) = 0. 1 Let a(u) be the second derivative of -u**4/12 + 283*u**3/6 + 285*u**2 - 3258*u. Determine m so that a(m) = 0. -2, 285 Let s(n) = n**2 + 3*n. Let v(u) = -9*u**2 - 210*u - 8649. Let h(m) = -24*s(m) - 3*v(m). Factor h(z). 3*(z + 93)**2 Suppose 6*z + 1042 - 1054 = 0. Determine g so that -200/3 - 40/3*g - 2/3*g**z = 0. -10 Let m(r) be the third derivative of -7/18*r**3 - 1/72*r**4 + 7/180*r**5 + 0 + 59*r + 2*r**2 + 1/360*r**6. Factor m(p). (p - 1)*(p + 1)*(p + 7)/3 Let k(g) be the second derivative of 0 + 1/10*g**5 + 0*g**2 - 4/3*g**3 + 0*g**4 + 8*g. Factor k(p). 2*p*(p - 2)*(p + 2) Let f = 6322/12647 - -3/25294. Let o(y) be the second derivative of -f*y**2 + 0 + 1/12*y**4 + 1/60*y**5 - 1/18*y**3 + 31*y. Solve o(p) = 0. -3, -1, 1 Let l(r) be the first derivative of r**3/12 + 10*r**2 + 759*r/4 - 558. Factor l(g). (g + 11)*(g + 69)/4 Let b be 8/(16/(-114)) - (9 - 14). Let l be 4 + b/12 - (-10 + -7). Factor -l + 20/3*g - 2/3*g**2. -2*(g - 5)**2/3 Let c(j) be the third derivative of j**8/84 + 46*j**7/105 + 38*j**6/15 - 1602*j**2. What is r in c(r) = 0? -19, -4, 0 Let h = 483917 - 483912. Suppose -1/3*q**3 - 3*q**2 - h - 23/3*q = 0. What is q? -5, -3, -1 Suppose 131*x + 4 = 133*x. Find j, given that -4 - 13*j**4 + 17*j**3 - 4*j**5 - 109*j + 96*j + 11*j**2 + 6*j**x = 0. -4, -1, -1/4, 1 Suppose -199*i - 206*i - 20 = -415*i. Solve -2/13*l**2 + i - 24/13*l = 0. -13, 1 Determine f, given that -20/7*f**5 + 152/7*f**4 + 328/7*f**2 - 52*f**3 - 96/7*f + 0 = 0. 0, 3/5, 1, 2, 4 Let h(k) be the second derivative of -119*k**4/8 + 3*k**3/2 - 411*k + 2. Factor h(x). -3*x*(119*x - 6)/2 Let c be ((-55)/33)/(((-50)/60)/(39/26)). Factor 0 + 2/7*p**c + 2592/7*p + 144/7*p**2. 2*p*(p + 36)**2/7 Let z(h) be the third derivative of h**6/300 + 7*h**5/75 - 3*h**4/20 - 42*h**3/5 - 318*h**2. Factor z(u). 2*(u - 3)*(u + 3)*(u + 14)/5 Suppose 5*t + 137 = 242. Let s(o) be the first derivative of 1/6*o**4 + 0*o - t + 1/3*o**2 - 4/9*o**3. Factor s(j). 2*j*(j - 1)**2/3 Factor -1002 - 1166*z - 8516*z**2 + 166*z + 8518*z**2. 2*(z - 501)*(z + 1) Let q(o) = 5*o**2 + 11*o - 7. Let n = -3062 + 3059. Let t(s) = -35*s + 3 - 18*s**2 + 3*s**2 + 17. Let g(x) = n*t(x) - 10*q(x). Determine v so that g(v) = 0. -2, 1 Find u, given that 166/3*u**2 + 20/3*u**3 + 2/9*u**4 + 824/9*u + 128/3 = 0. -16, -12, -1 Factor -30*t**3 + 236*t + 57*t**2 + 0 + 1/4*t**4. t*(t - 118)*(t - 4)*(t + 2)/4 Let i(d) = -2691*d. Let b be i(0). Solve b*o - 4/5*o**2 + 4/5 = 0. -1, 1 Let o be 14/469 + (-23520)/(-20100). Suppose 15 = 5*c + 5. Factor 1/5*z**c + 9/5 - o*z. (z - 3)**2/5 Let z be (-423)/188*(-21)/((-567)/(-18)). What is p in -z*p - 9/2*p**4 + 0 + 9/2*p**2 + 3/2*p**3 = 0? -1, 0, 1/3, 1 Suppose 4*a + 4 = 2*x + 14, 5*x = 5*a - 25. Determine h, given that 16*h**2 - 5*h**3 - 4*h**5 + 28*h**3 + a*h**5 - 16*h**4 + 8*h**5 - 11*h**3 - 16*h = 0. -1, 0, 1, 2 Factor 440*v**2 + 496*v + 16*v**2 + 9*v**3 + 320 - 252*v**2. (v + 20)*(3*v + 4)**2 Suppose -309*q = -605*q + 592. Factor 10/3*s**4 + 1/2*s**3 + 0*s + 0 - 1/3*s**q. s**2*(4*s - 1)*(5*s + 2)/6 Let o(i) be the first derivative of -i**3/5 + 375*i**2 - 50. Find d, given that o(d) = 0. 0, 1250 Let p be (-774)/(-12) + (16 + -27 - 4). Suppose -p - 3/2*g**2 - 51*g = 0. What is g? -33, -1 Let z(a) = -a**3 + 53*a**2 - 700*a - 52. Let n be z(26). What is w in -5/3*w**2 - 40/3*w + n = 0? -8, 0 Let w(x) be the third derivative of 4*x**7/105 + 61*x**6/60 + 89*x**5/10 + 259*x**4/12 + 49*x**3/3 - 2*x**2 - 401. Solve w(s) = 0 for s. -7, -1, -1/4 Suppose 35*m - 34*m = -5*b + 50, 2*b = 12. Let v(l) be the first derivative of -1/4*l**4 - l**3 + 0*l**2 + 4*l + m. Solve v(j) = 0 for j. -2, 1 Let r(m) be the third derivative of -m**5/30 + 344*m**4 - 1420032*m**3 - 6*m**2 - 174*m. Factor r(i). -2*(i - 2064)**2 Let g be 672/(-16) + (-24)/(-3). Let q be g/(-51) + (-16)/(-12). Let 8/17*i + 8/17 - 2/17*i**3 - 2/17*i**q = 0. Calculate i. -2, -1, 2 Suppose -51*c - 30*c + 58 = -104. Factor 2 + 2/9*z**c - 4/3*z. 2*(z - 3)**2/9 Suppose -p + 50 = 4*p + t, -3*t + 40 = 4*p. Let v be 16 + (2/p - 4/20). Factor -5*x + 3*x**2 + 3*x - v - x**3 + 16. -x*(x - 2)*(x - 1) Let x(h) be the first derivative of 12/7*h**3 - 2/21*h**6 - 3/7*h**4 + 0*h**2 - 11 + 0*h - 4/7*h**5. Determine q so that x(q) = 0. -3, 0, 1 Let a(q) = q**2 + 1617*q + 1616. Let u be a(-1). Factor 0 + u*s + 1/2*s**4 - 17*s**3 + 289/2*s**2. s**2*(s - 17)**2/2 Factor 3*o - 4*o**5 + 3*o**3 + 3*o**3 + 3*o**5 - 10*o**2 + 5*o**2 + 13*o**2. -o*(o - 3)*(o + 1)**3 Let n(z) be the first derivative of 51*z**2 - 4*z - 10. Let s be n(1). Factor -15*f**2 - s*f - 97*f + 186*f. -3*f*(5*f + 3) Let q(y) be the second derivative of -32/3*y**2 - 47/3*y**4 - 1/7*y**7 + 7/6*y**5 + 16/15*y**6 - 64/3*y**3 + 0 - 133*y. Suppose q(b) = 0. What is b? -2, -1/3, 4 Factor 3/5*l**2 - 12/5 - 12/5*l + 3/5*l**3. 3*(l - 2)*(l + 1)*(l + 2)/5 Suppose 36*t - 29*t = -10339. Let b = -1473 - t. Let -1/3*m**3 + 1/3*m + 1/9*m**2 + 0 - 1/9*m**b = 0. What is m? -3, -1, 0, 1 Solve -324*y**2 - 378 + 110*y - 388 + 14*y**4 + 48*y + 138*y + 878 + 46*y**3 = 0. -7, -2/7, 2 Factor 15*m**4 - 427215 - 12*m**4 - 415*m**3 + 4063818 - 2505*m**3 + 390882*m**2 + 736*m**3 + 2404584*m. 3*(m - 367)**2*(m + 3)**2 Let b = 73 + -71. Determine m so that -29*m - 4*m**3 + 28*m**b - 22*m - 23*m + 26*m = 0. 0, 3, 4 Suppose 0 = -3*q + 7*q - t - 15, 0 = 2*q + t - 15. Suppose -5*u + 29 + 11 = q*l, 15 = 3*u. Let 15*c**2 + 10 - 5 + 160*c**3 - 165*c**l - 15*c = 0. Calculate c. 1 Let v = -227 + 231. Find o such that -10*o**3 + 3*o**v - 2*o**3 - 56*o**2 + 68*o**2 = 0. 0, 2 Let t be 45/(-330)*9/(81/(-420)) + -2. Determine v, given that -t*v + 0 - 6/11*v**3 + 36/11*v**2 = 0. 0, 2, 4 Let t = -186086 - -558281/3. Determine z, given that 1/3*z**2 - t*z + 22/3 = 0. 1, 22 Suppose -91*z + 1712592 - 1712410 = 0. Determine c, given that 1/4*c**z - 7/4*c + 3 = 0. 3, 4 Let r = 1691 - 1691. Let a(q) be the first derivative of -2/7*q**2 + 4/21*q**3 - 13 + r*q. Factor a(f). 4*f*(f - 1)/7 Let o = 296/77 - 36/11. Suppose -93023*y + 94 = -93026*y + 5*b, 4*y + 3*b = 68. Find g, given that 4/7*g + o*g**4 - 4/7*g**3 + 0 - 4/7*g**y = 0. -1, 0, 1 Let -67/3*c**2 + c**3 - 17*c + 115/3 = 0. What is c? -5/3, 1, 23 Let t(c) = 23*c**3 + 251*c**2 + 157*c - 51. Let k(s) = 22*s**3 + 254*s**2 + 164*s - 52. Let x(a) = -5*k(a) + 4*t(a). Factor x(w). -2*(w + 1)*(w + 14)*(9*w - 2) Suppose -2*j + 2*t = 2, 0*j + t + 11 = 4*j. Let l be (6/(-12))/(3/(-24)). Solve 390*u**2 + 1 + 245*u**l + 560*u**3 + 80*u + 0 + j = 0. -1, -1/7 Factor 726/13 + 2/13*z**3 + 974/13*z + 250/13*z**2. 2*(z + 1)*
{ "pile_set_name": "DM Mathematics" }
rivative of 299*v**3/3 - 9*v**2/2 - 339. What is the second derivative of z(l) wrt l? 598 Suppose -15 = -5*c + 80. Find the third derivative of c*n**2 - 1 + 9*n**5 - 7*n**5 - 54*n**2 + n**4 wrt n. 120*n**2 + 24*n What is the derivative of -4 + 2 - 3 - 52*x - 69*x wrt x? -121 Let k(q) = 122*q**2 - 15*q - 89. Let i(f) = f**2 + 3*f. Let c(s) = 5*i(s) + k(s). Differentiate c(v) with respect to v. 254*v Let p(g) be the third derivative of 13*g**8/168 + 2*g**7/105 - 95*g**4/12 - 7*g**2 - 10. What is the second derivative of p(a) wrt a? 520*a**3 + 48*a**2 Let x(j) be the third derivative of j**8/1260 - j**6/180 + 7*j**5/30 + 3*j**2. Let r(s) be the third derivative of x(s). Differentiate r(b) with respect to b. 32*b Let p(u) = -u**2 + 5*u - 4. Let k be p(3). Let z = k - 0. What is the second derivative of -2*j - 2*j**5 - z*j**5 - 2*j wrt j? -80*j**3 Let r(a) = 2*a**2 + 4*a - 3. Let c be r(1). What is the third derivative of 6*g**4 - 4*g**2 + c*g**4 - 9*g**4 + 7*g**5 wrt g? 420*g**2 Let w(d) be the first derivative of 25 + 7/4*d**4 + 3*d**2 + 0*d + 0*d**3. What is the second derivative of w(r) wrt r? 42*r Suppose 0 = 12*m - 8*m. Find the second derivative of 0*b + m*b**4 - 7*b**4 + 4*b wrt b. -84*b**2 Let j(x) = x**3 - 4*x**2 + 4*x - 1. Suppose 0 = 7*k - 5*k - 6. Let a be j(k). Differentiate 10*n**a + 0 + 0 + 1 - 15*n**2 with respect to n. -10*n Suppose -43*m = -41*m - 20. What is the second derivative of 3*a + m*a + 8*a - 25*a**2 - 2*a**2 wrt a? -54 What is the second derivative of -330*o**2 + 6*o**3 + 13*o**3 + 662*o**2 - 331*o**2 + o + 43 wrt o? 114*o + 2 Let x be (1 + 0)*(15 + -8). Suppose 5*m - 30 = -5*p, -2*p + x = 2*m + m. Find the second derivative of -p + s - 4*s + 11 - 2*s**2 wrt s. -4 Let m(n) be the third derivative of -47*n**5/30 - 71*n**4/24 - 2*n**2 - 25*n. What is the second derivative of m(i) wrt i? -188 Suppose 9 = 5*f + y - 69, 0 = 3*f - 2*y - 39. Let w be (-2)/(-6) + 40/f. What is the derivative of 3*x**3 - 5*x**w + 2*x**3 - x**4 + 5 wrt x? -4*x**3 Suppose -2*a - 28 = -40. Let x(m) be the first derivative of -3 + a*m + 0*m**2 - 5/3*m**3. What is the derivative of x(z) wrt z? -10*z Let l(o) be the second derivative of o**5/20 + 3*o**4/4 + 58*o**3/3 - 16*o. Find the second derivative of l(h) wrt h. 6*h + 18 Let z = -165 + 296. Differentiate -47 - z*k + 225*k - 119*k with respect to k. -25 Let i(t) be the second derivative of 0*t**5 + 0 - 12*t - 2/5*t**6 + 4/3*t**3 + 0*t**4 + 0*t**2. What is the second derivative of i(o) wrt o? -144*o**2 Let t(k) be the second derivative of -25*k**7/42 - k**6/30 - 104*k**3/3 + 2*k + 18. Find the second derivative of t(q) wrt q. -500*q**3 - 12*q**2 Let k(g) = -314*g**4 - 14*g**3 - 5*g**2 - 5*g + 503. Let p(y) = -3*y**3 - y**2 - y. Let u(d) = -k(d) + 5*p(d). Find the first derivative of u(r) wrt r. 1256*r**3 - 3*r**2 Let k(r) be the second derivative of 46*r**6/5 - 123*r**2/2 - 81*r - 2. What is the first derivative of k(t) wrt t? 1104*t**3 Let r(z) be the first derivative of 17/2*z**2 - 9/4*z**4 + 1/5*z**5 - 9 + 0*z**3 + 0*z. Find the second derivative of r(i) wrt i. 12*i**2 - 54*i Let y(w) be the first derivative of -11*w**5/10 + 19*w**4/12 - 4*w + 16. Let q(n) be the first derivative of y(n). Find the third derivative of q(v) wrt v. -132 Let a(z) be the second derivative of z**4/6 + 13*z**3/6 - 17*z**2/2 + 64*z. Differentiate a(d) with respect to d. 4*d + 13 Let n(m) be the first derivative of m**8/12 - m**4/2 + 17*m**2 - 5. Let s(d) be the second derivative of n(d). Find the second derivative of s(j) wrt j. 560*j**3 Let d(k) be the third derivative of -4*k**5/15 + 145*k**3/6 - 513*k**2. What is the first derivative of d(v) wrt v? -32*v Let r(g) be the second derivative of 3*g**7/7 - g**6/30 + 19*g**4/12 + g**3/6 + 2*g + 2. What is the third derivative of r(n) wrt n? 1080*n**2 - 24*n Find the third derivative of 157*u**2 - u**4 + 59*u**3 - 9*u**3 - 21*u**3 - 6*u**3 wrt u. -24*u + 138 Let i(r) be the third derivative of 41*r**6/30 - r**4/24 + 59*r**3/6 + 54*r**2. What is the second derivative of i(n) wrt n? 984*n Let l = 60 + -56. What is the third derivative of -203*d**l + 20*d**6 - 5*d**2 - 27*d**2 + 203*d**4 wrt d? 2400*d**3 Let r be 8/10*(-4)/(16/10). Let q(v) be the third derivative of v**4/3 + 13*v**3/6 - 3*v**2. Let a(c) = c. Let g(y) = r*a(y) - q(y). Differentiate g(d) wrt d. -10 Find the first derivative of -53*k - 37*k - 6*k + 85 wrt k. -96 Let u(q) be the first derivative of -19/2*q**2 + 0*q + 15/2*q**4 - 2 + 0*q**3. Find the second derivative of u(x) wrt x. 180*x What is the second derivative of -1 - 8 - 8*m**4 - 2 + 7*m + 96*m**4 wrt m? 1056*m**2 Let j(a) be the second derivative of 0*a**2 + 4/3*a**3 + 4/3*a**4 - 10*a + 0. Find the second derivative of j(f) wrt f. 32 Suppose -9*j + 5*j = n - 9, -2*j = 2*n - 6. What is the derivative of 55*p**j - 18*p**3 + 12 - 55*p**2 wrt p? -54*p**2 Let g(i) be the first derivative of -i**6/15 + i**3/2 - 9*i**2/2 - 1. Let w(m) be the second derivative of g(m). Differentiate w(a) with respect to a. -24*a**2 Let n(g) = g + 4. Let l(j) = 14*j**2 - 21*j - 189. Let r(s) = -2*l(s) - 42*n(s). Find the first derivative of r(o) wrt o. -56*o Differentiate 216*f + 112*f - 88*f + 528 with respect to f. 240 Let d = -23 - -34. What is the third derivative of -d*k**2 + 10*k**5 + 15*k**2 + k**5 + 14*k**2 wrt k? 660*k**2 Let f(j) = 19*j. Let q be (-1 - -3 - 3)*-2. Let z be f(q). Find the second derivative of -8*w - 36*w**4 + 0*w + z*w**4 wrt w. 24*w**2 Let h(t) = -77*t**5 + 5*t**3 + 152*t. Let l(f) = -192*f**5 + 12*f**3 + 380*f. Let m(q) = -12*h(q) + 5*l(q). Find the second derivative of m(i) wrt i. -720*i**3 Let s(q) be the third derivative of -19*q**8/336 - q**5/30 + 90*q**2 + 1. Find the third derivative of s(j) wrt j. -1140*j**2 Let c be (3/(-2))/((-3)/10). Suppose 0*a + 5*x + 3 = -3*a, -5*x = 5*a - c. Find the third derivative of -a*y**2 + 5*y**5 + 10*y - 7*y - 3*y wrt y. 300*y**2 Let q(x) = 7*x**3 - 8*x**2 - 47*x + 13. Let w(z) = 3*z**3 - 4*z**2 - 23*z + 6. Let c(l) = 6*q(l) - 13*w(l). Find the third derivative of c(r) wrt r. 18 Let j(a) be the second derivative of a**9/3024 + a**6/48 + 7*a**4/6 - 13*a. Let s(d) be the third derivative of j(d). Find the second derivative of s(l) wrt l. 60*l**2 What is the third derivative of -7*d**2 - 487*d**3 - 917 - 7*d**2 + 1836 - 925 wrt d? -2922 Let h be ((-8)/(-4))/(-6*4/(-36)). Find the second derivative of 3*o**3 + 14*o + 2*o**3 - 50*o - 33*o**h wrt o. -168*o Let g(m) be the second derivative of m**7/15 - 17*m**4/24 + 2*m**2 - 8*m. Let n(a) be the first derivative of g(a). What is the second derivative of n(c) wrt c? 168*c**2 Suppose -z - z + 31 = -5*x, 121 = 5*z + 2*x. What is the first derivative of 8*o**3 - z + 70 - 40 wrt o? 24*o**2 Suppose 0*k + 2*k = 5*g - 13, -4 = 5*k - 3*g. Let b be (k + -1)*4/(-8). Find the first derivative of b*h**4 + 7*h**4 - 1 - h**4 wrt h. 24*h**3 Find the second derivative of 18*f - 223*f**3 + 7*f - 132*f**3 + 3*f - 68*f**3 wrt f. -2538*f Let k(g) = -3*g**5 + g**2. Let w(h) = 82*h**5 - 100*h**2. Let b(o) = 8*k(o) + w(o). Find the third derivative of b(f) wrt f. 3480*f**2 Let v(c) = -c**3 + 4*c**2 - c - 4. Let p be v(3). Let a = 6 + -6. Differentiate 2 - p - 6 + 4*t + a wrt t. 4 Let l(w) be the second derivative of w**7/14 + w**6/10 + w**3/6 + 28*w**2 + 82*w. Find the second derivative of l(a) wrt a. 60*a**3 + 36*a**2 Let i(v) = 7*v - 2 + 1 - 11*v**2 + 1. Let m(z) = z. Let h(f) = i(f) - 5*m(f). What is the second derivative of h(s) wrt s? -22 Suppose 6*q + 2*s = 3*q + 19, 8 = -2*s. What is the second derivative of 9 - 5*x - q - 17*x**4 - x wrt x? -204*x**2 Let p = -11 + 51. Let d be (-4)/(-6) + p/12. Find the third derivative of -b**2 + 4*b**2 + b**d + 0*b**2 + b**4 wrt b. 48*b Let d(m) be the second derivative of -m**4/6 - m**3/3 + 73*m**2/2 + 11*m. Differentiate d(x) wrt x. -4*x - 2 Let b(i) be the second derivative of 15*i**5/4 + 79*i**4/4 + 8*i - 1. What is the third derivative of b(v) wrt v? 450 Let d(g) = -4*g - 23. Let y be d(-13). Find the second derivative of k + 0*k + 38*k**4 - y*k**4 wrt k. 108*k**2 Let r(s) be the first derivative of s**8/1680 + 7*s**6/180 + 25*s**3/3 - 13. Let m(n) be the third derivative of r(n). Find the third derivative of m(b) wrt b. 24*b What is the first
{ "pile_set_name": "DM Mathematics" }
acement from {d: 1, p: 6, e: 5, v: 5}? 5/204 Two letters picked without replacement from {m: 6, j: 5, c: 6, p: 1}. Give prob of sequence mp. 1/51 Four letters picked without replacement from nnnnjnjnjjnnwnjnjjj. Give prob of sequence jnnw. 5/646 Three letters picked without replacement from bbwwwbbwbbbwb. What is prob of sequence www? 5/143 Calculate prob of sequence cq when two letters picked without replacement from {q: 3, l: 6, c: 4}. 1/13 Two letters picked without replacement from lukmkaf. Give prob of sequence fk. 1/21 What is prob of sequence gggg when four letters picked without replacement from ggggygyggygyggyggggg? 91/323 Four letters picked without replacement from {f: 6, e: 3, x: 1, y: 1, j: 1}. Give prob of sequence fxfj. 1/396 Two letters picked without replacement from tkytbhyktnthkb. What is prob of sequence nb? 1/91 Two letters picked without replacement from {y: 13, g: 6}. What is prob of sequence yy? 26/57 Two letters picked without replacement from {g: 2, e: 2}. Give prob of sequence ge. 1/3 Calculate prob of sequence xax when three letters picked without replacement from axxaaxaaaaaaxaaaaaaa. 8/285 Two letters picked without replacement from rfpdqfr. Give prob of sequence pd. 1/42 What is prob of sequence kkp when three letters picked without replacement from kkkppkpkpkkkkpfkpp? 35/272 Three letters picked without replacement from {f: 2, y: 1, c: 4, o: 2, n: 2, q: 3}. Give prob of sequence cqf. 1/91 What is prob of sequence dgf when three letters picked without replacement from dgqfs? 1/60 Three letters picked without replacement from {q: 1, k: 1, v: 1, b: 1, c: 1}. Give prob of sequence vkc. 1/60 Calculate prob of sequence og when two letters picked without replacement from dqqfoogqq. 1/36 Calculate prob of sequence uuv when three letters picked without replacement from vuuy. 1/12 What is prob of sequence agas when four letters picked without replacement from lglsaslaadlalgllal? 1/918 What is prob of sequence ak when two letters picked without replacement from akvttxv? 1/42 Calculate prob of sequence mmmm when four letters picked without replacement from {m: 6, r: 2}. 3/14 Two letters picked without replacement from {p: 1, h: 6, j: 1, w: 1}. What is prob of sequence jw? 1/72 Two letters picked without replacement from {w: 1, b: 1, r: 3}. Give prob of sequence rb. 3/20 What is prob of sequence au when two letters picked without replacement from {u: 5, l: 1, a: 4, e: 1}? 2/11 Calculate prob of sequence im when two letters picked without replacement from {i: 4, z: 2, g: 3, m: 1}. 2/45 Two letters picked without replacement from {d: 1, v: 2, h: 3, g: 5, i: 1}. Give prob of sequence ih. 1/44 Three letters picked without replacement from {n: 5, b: 1, c: 3, f: 3, u: 2, i: 1}. What is prob of sequence fnu? 1/91 Calculate prob of sequence jaoj when four letters picked without replacement from {j: 2, a: 3, g: 1, f: 1, o: 4, q: 1}. 1/495 Calculate prob of sequence cll when three letters picked without replacement from {l: 2, b: 2, k: 7, c: 7}. 7/2448 Three letters picked without replacement from {b: 3, l: 3, i: 1, h: 2, y: 9, u: 1}. Give prob of sequence yub. 3/646 What is prob of sequence gyy when three letters picked without replacement from {y: 2, g: 16}? 1/153 Four letters picked without replacement from {t: 1, c: 2, j: 2}. What is prob of sequence jtjc? 1/30 Three letters picked without replacement from {d: 7, b: 1, u: 2}. What is prob of sequence dbd? 7/120 What is prob of sequence rcr when three letters picked without replacement from rrrrrrrrwrrrcrr? 2/35 Three letters picked without replacement from {j: 5, e: 2, n: 2, b: 2, l: 9}. Give prob of sequence lbj. 1/76 Calculate prob of sequence xxqj when four letters picked without replacement from {q: 1, j: 1, m: 3, x: 4, t: 6, e: 5}. 1/9690 Four letters picked without replacement from {p: 4, i: 7}. What is prob of sequence pppi? 7/330 Calculate prob of sequence so when two letters picked without replacement from {s: 2, d: 1, m: 10, n: 1, o: 4}. 4/153 Calculate prob of sequence gsss when four letters picked without replacement from ssgsssss. 1/8 Two letters picked without replacement from {c: 2, d: 3, j: 4}. What is prob of sequence jc? 1/9 Four letters picked without replacement from nxnxnnnnn. What is prob of sequence xxnn? 1/36 Calculate prob of sequence yy when two letters picked without replacement from {u: 1, y: 14}. 13/15 Three letters picked without replacement from {w: 5, u: 2, n: 2}. Give prob of sequence uuw. 5/252 Calculate prob of sequence dg when two letters picked without replacement from {c: 6, m: 4, x: 2, g: 1, d: 2}. 1/105 Calculate prob of sequence uzzj when four letters picked without replacement from {u: 1, j: 1, w: 1, z: 2, e: 2}. 1/420 What is prob of sequence gy when two letters picked without replacement from {y: 3, g: 1, u: 1}? 3/20 What is prob of sequence ooj when three letters picked without replacement from {j: 3, o: 17}? 34/285 Calculate prob of sequence cgc when three letters picked without replacement from {c: 3, g: 6, p: 1, l: 3, a: 1, x: 4}. 1/136 What is prob of sequence ur when two letters picked without replacement from urrrurrrrrurrrrr? 13/80 Four letters picked without replacement from ddddmeeedddemmdd. Give prob of sequence deem. 27/3640 What is prob of sequence gg when two letters picked without replacement from jgpjjggpgjjjgppjg? 15/136 Calculate prob of sequence gs when two letters picked without replacement from {g: 3, a: 9, m: 2, s: 2, h: 3}. 1/57 Four letters picked without replacement from {z: 1, n: 2, c: 1, a: 2}. What is prob of sequence zcan? 1/90 Two letters picked without replacement from zpzppzpopppppz. Give prob of sequence op. 9/182 What is prob of sequence wirm when four letters picked without replacement from {r: 5, i: 1, m: 8, w: 1, z: 2}? 1/1428 Two letters picked without replacement from {i: 1, d: 6, s: 8, m: 1}. What is prob of sequence ds? 1/5 Two letters picked without replacement from {u: 2, a: 3}. What is prob of sequence au? 3/10 Two letters picked without replacement from aat. What is prob of sequence ta? 1/3 Four letters picked without replacement from nnininniin. Give prob of sequence inin. 1/14 Three letters picked without replacement from {o: 5, c: 4, d: 4, t: 3}. Give prob of sequence oco. 1/42 Four letters picked without replacement from ttdtdttt. Give prob of sequence ttdd. 1/28 Calculate prob of sequence hhh when three letters picked without replacement from {h: 3, n: 7, i: 1, r: 1, t: 2}. 1/364 What is prob of sequence xd when two letters picked without replacement from {d: 7, x: 4}? 14/55 Calculate prob of sequence ij when two letters picked without replacement from {m: 1, j: 1, i: 4, l: 3, e: 6, v: 1}. 1/60 Two letters picked without replacement from kllccllo. What is prob of sequence lo? 1/14 Calculate prob of sequence ul when two letters picked without replacement from {z: 3, u: 1, p: 1, g: 5, l: 2, t: 1}. 1/78 Three letters picked without replacement from {x: 3, r: 1, t: 3, e: 3, l: 4, m: 2}. Give prob of sequence mrx. 1/560 Four letters picked without replacement from aiiriuyrupyiypr. What is prob of sequence rrpi? 2/1365 What is prob of sequence yyq when three letters picked without replacement from yqqyqqnnq? 5/252 Calculate prob of sequence tt when two letters picked without replacement from rtt. 1/3 Calculate prob of sequence yl when two letters picked without replacement from llhllylll. 7/72 Three letters picked without replacement from ppwqvppqpqpppqvqpwpp. What is prob of sequence wwq? 1/684 What is prob of sequence dhh when three letters picked without replacement from {z: 1, h: 2, d: 4}? 4/105 Four letters picked without replacement from {q: 7, h: 1, s: 1}. Give prob of sequence shqq. 1/72 Three letters picked without replacement from qbqqbqqqqbbbbb. What is prob of sequence bbq? 7/52 Calculate prob of sequence lsll when four letters picked without replacement from ssllsl. 1/20 Two letters picked without replacement from vravzia. Give prob of sequence rz. 1/42 Two letters picked without replacement from qmseqmmcmmmmcsqcsc. What is prob of sequence qc? 2/51 Four letters picked without replacement from {o: 5, c: 9}. Give prob of sequence ccoo. 60/1001 Four letters picked without replac
{ "pile_set_name": "DM Mathematics" }
0 Let z(g) = -18*g + 58. Let k be z(3). Suppose k*j = j + 2*q + 36, -q = -2*j + 24. What is the least common multiple of 28 and j? 84 Let b(u) = u**3 - 15*u**2 + 16*u - 34. Let k be b(14). Calculate the common denominator of 2/3 + k/((-288)/(-1196)) and 6/21 + (-1557)/84. 4 Let a be 186 - -1*(-2 - -9). Let n = -189 + a. Calculate the smallest common multiple of 192 and n. 192 Let w = -47837/1830 + 1316/61. Calculate the common denominator of w and 31/(-20) - ((-54)/10 + 5). 60 Suppose -3*c = -5*u - 43, -2*c - u + 34 = u. Suppose -4*k = -3*o + 135, 5*k + 106 - c = 2*o. Calculate the least common multiple of 21 and o. 315 What is the least common multiple of 738 and (-135)/(-3)*8/40? 738 Let j = 213 - 219. Let u = j + 46. What is the lowest common multiple of u and 10? 40 Suppose -1 = -4*z + 2*a + 13, -z = -3*a - 1. Suppose -4*x + 46 = 3*b, z*b - 2*x - 54 = -0*x. Find the common denominator of -38/9 and 1707/(-330) + b/35. 198 Let w(o) = 2*o**2 + 3*o - 16. Let c(v) = -v**2 - 13*v - 7. Let z be c(-12). Let i be w(z). Calculate the common denominator of (-14)/i + 506/(-630) and -71/3. 45 Calculate the smallest common multiple of 21 and (22918/49 - 12/(-42))*13/4. 10647 Find the common denominator of -85/774 and 500/(-24)*((-640)/(-72) - 9). 2322 Let w = -9771 + 9936. What is the lowest common multiple of 605 and w? 1815 Let t = 164 - 104. Calculate the lowest common multiple of (4/3)/(-1)*(t - 114) and 8. 72 Suppose 6*t - 1505 - 1440 = -185. What is the least common multiple of t and 90? 4140 Let g be (-3 - 1 - 0) + -1064. Let f = g - -1852. Calculate the smallest common multiple of 8 and f. 784 Let n = 11 + -9. Let h be 16/(-12)*(-3)/n. Suppose a = 2*z - 1 + 2, -h*z + 5 = a. What is the lowest common multiple of 7 and z? 7 Let p be (-8 + 10)*839/2. Let m = -479 + p. Find the common denominator of 5/6 and 6/(m/235)*(-3)/(-8). 96 Suppose i + 12630 + 34980 = 31*i. What is the smallest common multiple of 18 and i? 9522 What is the common denominator of -97/16 and 1/3 - 5088/81792? 1136 Let k = 50015 + -500211/10. Let z be 18/(-336)*(-1359278)/3. Let t = z + -24277. Calculate the common denominator of t and k. 140 Suppose 2*p + 255 = -s, 3*p + 400 = -0*p + 2*s. Find the common denominator of -87*1/36*6/(-4) and 12/(-16)*p/(-48). 32 Let j be (-3 - -3) + (55 - -2). Let n = 135 - j. Calculate the least common multiple of n and 22. 858 Let f = -905465 + 640359. Let j = f + 55672063/210. Find the common denominator of 117/10 and j. 210 Let g = 3601202/131355 - 3803/139. Find the common denominator of 131/216 and g. 7560 Let x = 2/4599529 - 183213038693/82791522. Let c = -2217 - x. Let v = 1/3642 - -40963/34599. Find the common denominator of v and c. 342 Let j = 156231/5 + -1237643/40. Let p = j + -1171/4. What is the common denominator of p and -113/108? 216 Find the common denominator of -79/222 and (-12)/22 + 57190/280016. 888 Suppose -31 - 11 = 3*p. Let b = -30 + 35. What is the lowest common multiple of b and 267/39 + p/(-91)? 35 Let o = -31 + 55. Let d = 125 + -98. Calculate the lowest common multiple of o and d. 216 Let y = -164 - -168. Find the common denominator of 8/3 and (-21861)/5049 + y + (-2)/(-17). 33 Let v(x) = -x**2 - 25*x + 54. Let a be v(-19). Suppose 0 = -2*d + 5*y + 155, 2*y - 22 = 2*d - a. Calculate the smallest common multiple of d and 6. 210 Let i = 4 - -20. Let q = 61 - i. Suppose q - 52 = -l. What is the least common multiple of 1 and l? 15 Let n = 87373/544 + -2766/17. Calculate the common denominator of n and ((-2)/(-20))/((-98)/485). 1568 Let f be ((-12)/10)/(1/(-35)). Suppose 22*x = 36*x - f. What is the least common multiple of x and 9? 9 Suppose 2*u = 3*m - 3456, -m + 3*u - 2*u = -1152. Calculate the common denominator of 23/48 and 4/3 + 3000/m. 48 Let q = -21896 - -12660. Let y = -240075/26 - q. Find the common denominator of 33/4 and y. 52 Calculate the common denominator of -19/780 and (50/(-975))/((-48)/9404) - 10. 2340 What is the common denominator of (-182)/(17 + -43) + (-630)/64 and -17/208? 416 Let l be (-1)/(36/40 - 1). Suppose -7 = t - 3*s, 4*t - 3*t - 4*s = -l. Calculate the lowest common multiple of t and 9. 18 Let x(t) = -38*t - 622. What is the smallest common multiple of x(-20) and 138? 138 Let c = 13 + -21. Let y be (19/(-8))/((c/2)/(-936)). Let l = y - -1139/2. Calculate the common denominator of l and -149/6. 12 Suppose 781 = 5*d + 2*i, 4*d = -27*i + 32*i + 638. Suppose -d*v + 164*v = 21. What is the least common multiple of 5 and v? 15 Suppose -200 = -5*y - 0*y. Suppose 0 = 3*s - d - 26, 4*d - y + 0 = -4*s. Calculate the least common multiple of s and 294. 882 Let t be 0 - 213 - 7/(-7). Let l = 224 + t. Calculate the lowest common multiple of l and 12. 12 Suppose -5*o - o - 312 = 0. Let u = 37 + o. What is the common denominator of (50/u)/(56/138) and 101/16? 112 Suppose -13*j = 21*j - 3570. Find the common denominator of j/(-8)*42/175 and 107/30. 60 Let h = -701 - -845. Calculate the lowest common multiple of h and 12. 144 Suppose 0 = -6*o - 122 - 118. Calculate the smallest common multiple of o + 41 + 1*15 and 78. 624 Let o(f) = -f**2 + 2*f + 5. Let r be o(0). Suppose -g = -5*n + 727 - 184, -339 = -3*n + r*g. Let v = -107 + n. What is the lowest common multiple of v and 8? 8 Calculate the common denominator of 87/2348 and 1547/(-980) - 4/(-10) - (-35)/(-140). 16436 Suppose -2302 - 54 = -62*l. What is the smallest common multiple of l and 1? 38 Let v = 2/16762471 + -1932327369491/201149652. Let g = -9597 - v. Calculate the common denominator of 13/(182/4) + (-271)/(-56) and g. 24 Let d(k) = -12*k**3 + 3*k**2 - 4. Let n be d(-2). Suppose 3*s - n + 68 = 0. What is the least common multiple of s and 18? 36 Let g(x) = -x**2 + 6*x + 31. Let t(a) = -9*a. Let v be t(-1). Calculate the smallest common multiple of g(v) and 48. 48 Let a = 36 + -30. Let l be (-2)/a - 2320/(-48). Suppose -5*u + l = 3*u. What is the least common multiple of u and 8? 24 Calculate the common denominator of (-5)/2*(-50)/(-132)*-2 and -71/162. 1782 Suppose 10*v - 3 = 267. Calculate the smallest common multiple of 210 and v. 1890 What is the common denominator of ((-1)/7)/(151708/1147898 - 4/(-122)) and -67/628? 17584 Suppose 2*q = 2*n - 72, 5*q + 40 = 8*n - 7*n. Suppose 679*l = 674*l + n. Let u = -17 + 24. What is the smallest common multiple of u and l? 7 Suppose -4*b + 5*g - 59797 = 0, 3*g = g + 2. Let m = -2750417/184 - b. Let z = 1521/2 + -797. Calculate the common denominator of m and z. 184 Let w(u) be the second derivative of u**5/20 - 11*u**4/12 + 3*u**3/2 - 35*u**2/2 - 64*u. What is the lowest common multiple of w(11) and 20? 320 Let l = 9964/5 - 218813/110. What is the common denominator of (-2)/8*1606/(-55) and l? 110 Let t(a) = -a**2 + 12*a - 14. Let w be t(11). What is the common denominator of (3 - 96/(-24)) + 67/(-2) and -2 - (w + 14/36)? 18 Let x = -19470575/16 + 42932476619/35280. Let o = x - 38/735. Find the common denominator of 67/38 and o. 342 Let l = -80354/9 + 8933. Calculate the common denominator of l and 3/992. 8928 Suppose 4*k + 5*i - 1432 - 877 = 0, 2*k - 1150 = -4*i. What is the least common multiple of 249 and k? 1743 Suppose 3*y - 5 = -5*v + 9, 5*v - 12 = -4*y. Calculate the common denominator of v and -18/5. 5 Let n be ((-24)/6 - -5)*-8. Calculate the smallest common multiple of 50 and n/(-3)*(-10)/((-240)/162). 450 Let p = -58162049/468 + 124278. Calculate the common denominator of -23/624 and p. 1872 Let p(h) = 165*h - 8757. Calculate the least common multiple of p(57) and 1512. 4536 Let w = -109 + 206. Let f = -85 + w. Suppose 10*q - 12*q + f = 0. What is the lowest common multiple of q and 7? 42 What is the common denominator of (1500/16)/(-5)*(-54)/2610 and 15/4? 116 Suppose -14*g = -11*g + 9885. Let c = g - -26443/8. Let o = 261879/20 + -13098. Calculate the common denominator of c and o. 40 Let z(y) = 2*y**2 + 21*y + 8. Let v be z(-10). Suppose 3*s = -0*s - 3*h, -2*s - 3*h = 2. What is the smallest common multiple of 6 and s/(-3)*v*(-18)/(-4)? 6 Let n = -23 - -76. Let g = n - 59. Find the common denominator of 97/(18/(-12)*(-184)/g) and 79/14. 322 Suppose -3*t + 4790 = -2*p - 3*p, 2*p = -4*t + 6404. Calculate the smallest common multiple of t and 8. 1600 Let n = -1874 + 3098. What is the lowest
{ "pile_set_name": "DM Mathematics" }
= 1 + u + 0*u + 2 - 5. Let q be a(6). Solve q = 2*h + 5*p - 0, -3*p = -h - 9 for h. -3 Suppose 0 = -v + 5, -3*m + 0*m + v = 167. Let u = m + 32. Let h = -22 - u. Solve -4*i + h*b = 3*b - 13, 3*i - 7 = -5*b for i. 4 Suppose 29 = 3*t + 2*h, h = 5*t - 2*h - 23. Let n = t + -11. Let y = 0 - n. Solve -y = 5*s - 4*f, -3*s - 28 = s + 3*f for s. -4 Suppose -5 = -4*o + 3, 5*o = -5*p - 640. Let b = -121 - p. Solve 2*g + 3*k - 16 = g, -4*g - k + b = 0 for g. 1 Let z(u) = u - u + 3 - 8 + u**2 + 3*u. Let s be z(2). Solve -5*d = -s*c, 0 = 2*d + 2*d + 3*c for d. 0 Let f(p) = -5*p**2 + 60*p - 57. Let l(i) = -i**2 + 15*i - 14. Let n(q) = -2*f(q) + 9*l(q). Let j be n(-16). Solve j*k - 3*a = 7, 2*a = -2 - 8 for k. -2 Let r = -11 + 15. Suppose 0 = -3*u + 2*l + 10, r*u - 1 + 3 = -5*l. Let n be (4/(-8))/(u/(-8)). Solve -b = 4*b + n*s + 11, -3*b - 4*s - 1 = 0 for b. -3 Let u(y) = -4*y - 4 + 6 + 4*y - 4*y. Suppose -d + 22 = -4*n + 1, -2*n + 2*d = 12. Let j be u(n). Solve j = -3*s + 5*w, 2*s + 5*w = s + 6 for s. -4 Let t(w) = -233*w**2 + 229*w**2 + 2*w - 4 - w**3 + 13. Let j be t(-4). Solve 2*c = 4*c - 3*z + 3, 5*c + j = z for c. 0 Let q be -14 + (-2576)/(-160) - (-1)/(-10). Solve -4*m - 24 + q = 2*v, 0 = -2*m + 2*v + 4 for m. -3 Suppose 20*d - 91 - 9 = 0. Solve 4*k - 5*v - 31 = 8*k, -d*k + 3*v - 11 = 0 for k. -4 Suppose -f + 4*w + 10 = 0, 8 + 2 = 3*f - 2*w. Let s(p) = 4*p + 1. Let q be s(1). Let y be (-1)/(q/(-75)*3). Solve -y*j = 4*c + 7, f*j = 3*j + c + 1 for j. -3 Suppose -2*z + 2 = -6. Let f be 2 + -1 - (12 + -23). Suppose f*o - 15 = 7*o. Solve 13 = -o*g - i, -z*i + 0 - 1 = -5*g for g. -3 Let v(h) = -14*h**3 + 41*h**2 + h + 10. Let n be v(3). Solve n*g + b = -b + 12, 3*g - 3*b - 9 = 0 for g. 3 Suppose -5*i = -4*h - 96, i - 29 = -4*h - 5. Suppose u + 15 = 5*q, -2*u + 45 = 5*q + 15. Solve -u*j - i = -5*k, 5*j + 12 = -5*k + 2*k for j. -3 Suppose -506*b = -499*b - 7. Solve -h - v - b = 0, -4*v = -4*h - v + 31 for h. 4 Let s = 7 - 9. Let i be (-7 + 2)*-1 - s. Let g = -21 - -26. Solve 0 = -5*a + 5*v + g, 0*a - 5*a - i = -2*v for a. -3 Let l = -112 - -130. Solve -3*q = -2*i - i + 12, 5*i - 3*q - l = 0 for i. 3 Let f(n) be the second derivative of -n**4/12 + 5*n**3/6 - n**2/2 + 15*n - 1. Let r = -7 + 11. Let w be f(r). Solve -k - 3*v = 2*k + w, v = 5*k - 1 for k. 0 Suppose 20*l - 18*l = 8. Suppose l*o = o + 9. Solve 2*j = c - o*j + 24, 5*c = -j - 16 for c. -4 Let q(w) be the second derivative of -3/4*w**4 - 1/20*w**5 + 11/2*w**2 + 1/6*w**3 + 3*w + 0. Let s be q(-9). Solve 0*f + 3*f = -4*p - 3, 2*f = 2*p - s for p. 0 Suppose -5*n = 6 + 24. Let y be (-16)/n*63/42. Solve 0*m - 10 = 2*i - y*m, -i - 2*m + 11 = 0 for i. 3 Suppose -c - 5*h = -2*h + 10, 4*c - 10 = -2*h. Suppose -3*d - k - 3*k = -18, -2*d = -3*k + c. Solve 0 = -2*z - d*a - 16, -a - 3 = 2*z + 9 for z. -4 Suppose 5*j - 35 = 4*a - 12, -j + 16 = 3*a. Suppose 5*v + 5 = -5*y, -5 = 5*v - 2*y - j. Solve 4*b = 2*o + o + 31, v = -2*b - 5*o - 17 for b. 4 Let a(n) = -n**2 + 3*n + 2. Let x be a(4). Let i(p) = -p**3 - 2*p**2 - p - 1. Let t be i(x). Solve 4*y + 4 = -4*c, y + 0*c - 4*c = -t for y. -1 Suppose 3*k = 3 - 6. Let d be k - 3*-2 - 1. Let u be 6/d*(-6 - -8). Solve 0 = 3*q + u*f - 3, -q + f = -7 + 14 for q. -3 Suppose o = 7*o - 36. Suppose -o*j = j. Solve 0*p + 3*p + b - 13 = j, -2*p = b - 8 for p. 5 Let p(a) = a**3 - 6*a + 6. Let r be p(0). Solve -3*s - r = -s + 2*l, 3*l - 3 = 0 for s. -4 Suppose 8*s - 160 = -32*s. Solve -c - 37 = 2*c + 5*n, -n = -s*c - 11 for c. -4 Suppose 19*v + 0 - 38 = 0. Solve w + v*k - 2 = 0, -2*w = -k - 0*k + 11 for w. -4 Suppose 3 - 7 = -2*i. Let t(p) = 2*p**3 - 3*p**2 - p + 2. Let d be t(i). Suppose h = -d*h. Solve -4*l = -4*s - l - 1, h = -4*l - 20 for s. -4 Let o be (40/8)/(-1) - (-35)/1. Solve 5*g + z = o, -3*z + 10 = 3*g - 4*z for g. 5 Let a = 116 + -47. Let p = a + -66. Solve -p*z = l + 2, 8 = 2*l - 6*l + z for l. -2 Let n = -28 + 40. Suppose 5*o = -o + n. Solve 2*v + 0 - o = 0, -q + 2*v + 3 = 0 for q. 5 Let x be ((-3)/2)/((-1)/2). Let c be 30/(-70) - 10/(-7). Solve 0 = -5*j + 4*h + 19, x*h = -j - h - c for j. 3 Suppose 240*m = 242*m - 24. Solve m = 4*y - 4*h, 5*y + h - 4 - 5 = 0 for y. 2 Suppose 8 = m + 3. Let x(c) = -3*c**3 - 4*c**2 + 17*c + 6. Let r be x(-3). Let d = m + r. Solve -d*a + s - 22 = -3*s, 2*a - 2 = -2*s for a. -2 Let r(h) = -47*h - 42. Let d be r(-1). Solve -j = -0*t + 3*t + 14, 0 = d*j - 5 for t. -5 Let m = 74 - 50. Suppose 2*b = -k + 6, -3*b - 2*k + 2 = -4*k. Suppose 4*a + 16 = 0, b*n + 2*n = 2*a + m. Solve 2*l - n*y - 10 = 0, -4*l - 4*y + 0 = -8 for l. 3 Let y be (-1 + 2)/((-3)/15 + 0). Let k be (y + 4)/(-2 - 10/(-6)). Solve p + 2*u = -0*p + 3, -k*p - 3*u = -3 for p. -1 Let u(d) = 2*d + 14. Let p(l) = -l**2 - 10*l - 2. Let m be p(-11). Let n be u(m). Let v = 16 + n. Solve 0 = 2*g + 3*t + 5, -3 = -v*g - 2*t - 1 for g. 2 Suppose -4*l + 16 = 2*y - 10, 3*l = y + 12. Solve -2*r - 2 = y*k, 4*r - 6 = -3*k - 16 for k. 2 Let k be 378/91 - 4/26. Suppose -k*c + b = -14, c + 5*b = -6 - 1. Let s = 17 + -15. Solve -4*g - 6 = c*z - z, s*g = 0 for z. -3 Let n(d) = -d**3 + 8*d**2 - 10. Let z be n(8). Let u be (0 - z) + 2/(-2). Let q be u*(-6)/(-9) - 1. Solve -v + 7 = -q*a + 2*a, -2*a - v = 13 for a. -4 Let d be ((-3)/(-9))/((-3)/(-288)) - 4. Solve 4 = 4*y - 4*h - d, -4*y + 35 = -5*h for y. 5 Suppose 4*h + 6 = 4*w - 6, -4*h - 12 = 0. Let n(a) = -a**3 - 4*a**2 + 5*a + 5. Let b be n(-5). Solve w = -r - 4, -13 = 2*o - b*r - 41 for o. 4 Let x = -96 - -150. Suppose -18 = -f + 4*b, 3*f - 3*b + 6 = -6*b. Let s be (f/(-6))/((-3)/x). Solve 2*y - s*y = w + 5, 2 = -2*y for w. -1 Let a(q) = 5*q**3 + 4*q**2 + 3*q. Let z be a(-1). Let m(p) = 4*p - p + p**2 + 0*p. Let g be m(z). Solve r + y = 4*r, -5*r - 7 = -g*y for r. 1 Let s be -4 + 1 + (-1 - -20). Let j = 35 - s. Let c = j - 8. Solve c = b + b - 3*g, 0 = -5*b + 3*g + 5 for b. -2 Let m(x) = 4*x**2 + 5*x - 8. Let l(d) = 9*d**2 + 10*d - 16. Let b(p) = -3*l(p) + 7*m(p). Let i be b(-7). Solve 0 = -j + 4*g - 24, i*g - 3 = -3*j + 3*g for j. -4 Let j be 2 + ((-6)/3)/(-2). Suppose -6*u - j = -3*u. Let z be (2 - 3)*u + 1. Solve -2*n + 3*o - 4 = 0, 0*o = -z*n + 5*o for n. -5 Suppose -z = -3*z + 2*o + 22, -4*z + 5*o + 46 = 0. Let q be 4/1 + (9 - z). Solve -3*u + 6 = -0*u, 3*w + q = 5*u for w. 2 Let k be 2/13 + 200/52. Suppose 20 = k*r + r. Solve 0 = -5*o + 5*u + 20, 0*o - 2*o - 4*u - r = 0 for o. 2 Let b(l) = -2*l + 22. Let a be b(10). Suppose 4*j - a*n - 8 = 3*j, -4*j - 2*n = -12. Solve -2*p - 8 = 0, 3*z - j*p - 27 = -p for z. 5 Let k be ((-26)/351*6)/((-2)/18). Suppose 7 - 2 = 5*w. Solve -5*t + 4 = -x, -w = k*x + 3*t - 8*t for x. 1 Let t be -2*(0/1 - 1). Let x(o) = -5*o**2 + 3*o + 4. Let u be x(-3). Let v = u + 54. Solve 0 = 6*j - t*j + 5*g - v, 4 = 4*j + 3*g for j. 1 Suppose 6*t - 72 = 2*t. Let y be (0 - 1*(3 + 0)) + 21. Let m be 158/y + 4/t. Solve -5*j - 2*h + 7 = -14, j + m = 4*h for j. 3 Let y be (0 - -2)*(26 - 24). Solve x = -1 + y, 0 = -5*a - 4*x + 17 for a. 1 Suppose 0 = -2*t - 3*t - 60. Suppose 0 = -x - 1 + 17. Let c be (-4)/(-16) - t/x. Solve -c = s, -20 = 3*o + 2*s + 3*s for o. -5 Let l(j) = 0*j + 8 + 11 - 4 + j. Let i be l(-5). Let c be ((-12)/(-8))/(3/4). Solve 3*f + 5*o - 20 = 0, 4*f - c + i = 2*o for f. 0 Let s(i) = i**3 - 21*i**2 + 82*i - 28. Let q be s(16). Solve 4*p + q*l = -p - 9, p + 21 = 4*l for p. -5 Suppose -k = -5, 0 = l - 5*l + 3*k - 43. Let z be 3/(-9)*7/(l/18). Solve v = 5*w + 2*v, 0 = -4*w - 2*v + z for w. -1 Let m(p) = 2*p. Let k be m(3). Suppose 5*g - 23 = 3*b + 29, 2*g - 12 = -b. Let j = g - k. Solve -s = -j*z - 2*z + 11, s - 1 = -2*z for s. -3 Suppose -q - 9 = -4*n, -9 = -2*q - 11. Solve 2*t = -n*k - 2, 0 = 5*t - 4*t - 3*k + 17 for t. -5 Let o = 4 + -2. Suppose -3*h - 6 = 0, -4*p = o*h - 259 - 17. Suppose w - p = -w. Solve 3*m = -m + 5*g + w, 3*m = -4*g + 3 for m. 5 Let x(r) = -2*r**3 + 5*r**2 - 2*r - 5. Let w be x(3). Let c = -19 - w. Solve 2*i = -2*y + 2, 0 = -2*y - 5*i + 4 + c for y. 0 Let s(z) = 2*z**2 + 4*z - 13. Let d be s(2). Solve 3*t = -p + 16, -2*t - d*p = -p - 16 for t. 4 Let b(m) = -6 + 3 - 12 - 2*m. Let d be b(-15). Suppose 3*i + 4*o - d = 0, 5*o - 1 = 5*i - 26. Solve 3*c = -5*y + 5, -i*y - c + 6 = -9 for y. 4 Let x(m) = -15*m**2 + 5*m + 11. Let r(d) = 10*d**2 - 3*d - 7. Let q(a) = 8*r(a) + 5*x(a). Let f be q(-
{ "pile_set_name": "DM Mathematics" }
(a) x (b) -2 (c) 1/7 c Let g = -47 - -44.1. Let u = -4.9 - g. Let y = 1 + -1. What is the nearest to y in u, 1, -0.5? -0.5 Let k = -2.5 + 0.5. Let p(h) = 6*h + 22. Suppose -12*j + 4*j - 24 = 0. Let f be p(j). Which is the nearest to 3? (a) 1 (b) f (c) k b Let z = 2 + -3. Let x be (-16)/10*(9 - 52/8). Which is the closest to z? (a) 1/30 (b) x (c) -1 c Suppose 0 = 4*m + 8 - 0. Let x = 5752 - 5752.5. Which is the nearest to m? (a) -2 (b) 7 (c) x a Let p = 6 + -11. Let r = -0.054 - -44.054. Let j = 49 - r. What is the closest to 2/3 in 4, j, p? 4 Let i = 15 - 14. Let u be 2 - (3 - (-2 + 2)). What is the closest to i in 1/4, u, -0.4? 1/4 Let w = -4/19 - -6/209. Let d = -10/11 - -7/44. What is the nearest to -2/5 in w, -2, d? w Let q = 22 - 22. Suppose -5*i + 55 = -q*i. Suppose 0 = 8*v - i*v - 15. Which is the nearest to -4? (a) -2/15 (b) v (c) 1 b Suppose 5*k - 334 = -44. Let b be 2/(-7) + k/56. Let s = 0.24 + -0.14. What is the closest to 0.2 in -2/7, b, s? s Suppose 5*v = 13 + 12. Let u be (468/45 - 3/(-5)) + -1. Suppose -v*l + u*l - 5 = 0. What is the closest to -2 in -0.1, 4, l? -0.1 Let k = 71/5 + -69/5. What is the nearest to k in -1/7, 0.1, 0.04? 0.1 Let f = -66.1 - -63. Let l = 4 + f. Let r = 0.6 - l. Which is the nearest to 0.1? (a) 5 (b) r (c) 1/3 c Let d = -130 - -129.5. Which is the closest to 0.1? (a) -0.03 (b) d (c) 3 a Let c(b) = 5*b**3 - b. Let t be c(1). Suppose a = 0, s = -t*s + 3*a. Let x = -6/77 + 184/385. What is the nearest to x in -4, s, 5? s Let j = -25.01 + 25. Let q = j - -0.31. Let i = -1 - -1. Which is the nearest to -2/5? (a) i (b) q (c) -2/9 c Let q = 26.5 + -19. Let c = 8 - q. What is the closest to 0 in c, -3, -2/9? -2/9 Let r = 22 + -14. Suppose -6 = -10*u + r*u. Let g = -0.1 - 0. What is the closest to g in 4, 1/2, u? 1/2 Let r(f) = -f**3 - 10*f**2 - 7*f + 22. Let s be r(-9). What is the nearest to 0 in -13, -0.4, 1/5, s? 1/5 Let n = -15.91 - -14.91. Let h(d) = -d - 2. Let g be h(-2). Suppose g = 2*x - 3 - 5. Which is the nearest to n? (a) 1/2 (b) 0.1 (c) x b Let g = -2957/2 + 1478. Let s = -0.38 + 0.08. Which is the nearest to s? (a) -5 (b) 5 (c) g c Let v = -1464 + 1466. What is the nearest to 2 in v, -5, -0.4, -1? v Suppose -q - 13 = -4*w, 0*q - 2*q = -w + 5. Suppose 0 = -4*k + 16, -2*k + 16 = 2*z + 4. Let f be (-7)/49*7/z. What is the closest to f in -5, -2/5, w? -2/5 Let w be (((-112)/(-84))/(2/(-3)))/(-10). What is the closest to 4 in -0.5, 2, w? 2 Let v = -35 + 9. Let z = 29 + v. What is the nearest to -1/2 in 0.1, z, -0.4? -0.4 Let g = -80.2 + 13.2. Let p = g + 66. Which is the closest to -1? (a) 5/4 (b) 15 (c) p c Let p = -1.9939 + -0.0061. What is the closest to p in 4, -3, -4/7? -3 Suppose 0 = 3*y - 17 + 8. Suppose -4*h + 0*m + 7 = -3*m, -2*h - 1 = y*m. What is the nearest to 0 in 0.3, h, 1/3? 0.3 Let j = -0.1661 - 1.3339. Which is the nearest to -1? (a) j (b) -27 (c) -0.4 a Let j be (-648)/945 - (-4)/10. Suppose -w = 2*o - 5*w - 24, -36 = -4*o + 4*w. Let m = o - 6. Which is the closest to m? (a) -1/11 (b) -1 (c) j a Let d = -776 - -776.08. Suppose -5 = -n - 6. Which is the closest to n? (a) -4 (b) -2/11 (c) d b Let v = -0.96 + 1.96. What is the nearest to v in 2/7, 3, 0.1? 2/7 Let r = 5/99 - 233/693. What is the nearest to -2/5 in r, 27, -0.2? r Let y(g) = -8*g**3 + 30*g**2 + 8*g + 2. Let z be y(4). Which is the nearest to z? (a) 2 (b) -0.5 (c) -2/13 a Let w = 0.702 - 0.902. Which is the nearest to -7? (a) -4/7 (b) 0.1 (c) w a Let i = 0.05 + -0.15. Let w = 0.1 - 0.1. Let s = -6217 + 6216.6. What is the closest to w in 0.2, i, s? i Let f = -12 - -52. Let h = -43 + f. Which is the nearest to -1? (a) 0.4 (b) h (c) 0.3 c Suppose -4*o = 3*c + 9, o - 5*c - 4 = 4*o. Let v = 54 - 54.1. Let i = -0.1 + v. What is the nearest to i in o, 1/5, -1? 1/5 Let p = 29 - 28.7. Which is the closest to -3? (a) -3 (b) 5 (c) p a Let d be (-11 - 1)*(-2 - (-50)/30). Let w = 0.02 - 5.02. What is the closest to w in 0.3, d, 1? 0.3 Suppose -5*r + 54 = -21. Let b be 5/(-1)*(-36)/r. Suppose -2*t = 4*t + b. What is the closest to -1 in t, 5, 0.4? t Let s(v) = v**3 + 7*v**2 - 3*v - 16. Let q be s(-7). Which is the closest to -2/57? (a) -3 (b) -1/4 (c) q (d) -5 b Let x = -28.2 + 31.2. Which is the nearest to 0.26? (a) 1 (b) x (c) 0 c Let y = 12919/5 - 2584. Let j = -0.4 + 0.1. What is the closest to 0 in -1/3, y, j? y Let n(s) = -3*s**2 + 4*s**2 - 9*s - 15 + 32. Let a be n(7). Suppose 8 = -l + a. What is the nearest to -0.1 in l, -2/7, 3? -2/7 Let d = -10 - -0.8. Let q = d - -9. Let x = 2.6 - 0.6. Which is the nearest to -0.1? (a) 1 (b) x (c) q c Let a = 0.82 - 11.42. Let o = -10.5 - a. What is the closest to o in 0.6, -2, 2/3? 0.6 Suppose -35 = k - 8*k. Suppose -5*u + 0*j - j - 3 = 0, k*j - 6 = -4*u. Which is the nearest to 2? (a) u (b) 2 (c) -0.2 b Let u = 0.007 + 58.993. Let y = u - 58.63. Let k = y + -0.43. Which is the nearest to -1/2? (a) -3/7 (b) k (c) -0.2 a Suppose 2*w - 5*w + 3 = 0. Let s be ((-1)/w)/((-9)/27). Let y be (-56)/(-21)*(-2)/12. What is the nearest to s in -3, 2/9, y? 2/9 Let c = -370 - -372. What is the closest to 1/4 in -4, c, 4, -2/13? -2/13 Let r = -0.22 + 1.12. Let f = 1.4 - r. Let p = 0.369 - 0.469. Which is the closest to p? (a) 5 (b) -1/3 (c) f b Let s = 22 + 10. Let q = s + -37. Suppose 5*y + 5 + 5 = 0. Which is the nearest to -1? (a) y (b) -1/10 (c) q b Let q = -12 - -6. Let z = -4 - q. Let j be 2/((-24)/((-9)/3)). What is the nearest to j in -1/3, z, -3/5? -1/3 Let u be ((1/2)/((-4)/8))/(-5). Which is the closest to u? (a) 7 (b) 2/5 (c) -2 b Let f be (-6)/((-342)/65) + -1. Let a = f + 188/285. What is the nearest to 4 in 4, a, 0? 4 Let z be (6 - 470/75)*3/12. Which is the closest to 1/2? (a) -3 (b) 5 (c) 0.5 (d) z c Let d = 1711 + -1710.9992. What is the nearest to 1 in -3, d, -5? d Suppose 17*y + 13 = 81. Let m be -2*((-15)/6)/(-5). What is the closest to -8 in y, 2, m? m Let f = 54 + -58. Which is the closest to 1? (a) f (b) -12 (c) -5 a Let r(q) = -q - 5. Let y be r(-3). Let a(c) = -c**2 - 2*c - 20. Let i be a(-7). Let d = 60 + i. What is the nearest to 0.1 in d, 0.3, y? 0.3 Let y = 2 - 3. Let b = -17 + 27. Let c be (3 - 1) + (6 - 15/3). What is the closest to y in b, c, -1? -1 Let i = -18.2 + 18. Let g = -2 - -1.5. What is the closest to 3 in i, -1, g? i Let i = 63/8 - 575/72. Let x(y) = -3*y**3 - 2*y**2 - y. Let w be x(-1). Let t be -10*(1/w - 0). What is the closest to 0 in -1/4, i, t? i Let f(z) = -z + 7. Let o be f(12). What is the nearest to 0.1 in o, 4, -4? 4 Let p be (-1)/(-3)*3/4. Let d = 4679 - 4675. What is the closest to p in d, -1/2, 2? -1/2 Let u = -25 + 99/4. Let r = -1.8 - -4.1. Let o = r + 0.7. What is the nearest to 1 in o, 1, u? 1 Let m = 478/5 + -95. Suppose -w = 11*w. What is the closest to 4 in w, m, 3? 3 Let j = 0.3 - 0.3. Let z be (21232/252)/((-220)/(-6)) + -2. Let y = z + -2/165. Which is the nearest to j? (a) y (b) -1 (c) -0.1 c Let u = 14 - 19. Let v be (15/20)/(0 - 15/(-8)). Let o = 418/3 + -141. Which is the closest to v? (a) u (b) 0 (c) o b Let k = -149.1 + 149. Let w = 0.04 + 0.06. Let n = 0.2 - w. What is the nearest to n in 3/4, k, 0? 0 Let z be 8/(8 + 0) + 8/(-7). Which is the closest to -1/3? (a) -0.1 (b) 0 (c) z (d) -4 c Suppose -36*w - 20 = -40*w. Let y(s) = s**3 - 3*s**2 - 4*s - 8. Let q be y(w). Let c = q + -22. What is the nearest to c in 3/4, -2/5, 0? 0 Let i = -11 + 20. Let o = i + -8.4. Let h = o + -0.3. Which is the closest to -1? (a) h (b) -3 (c) 1/4 c Let q be 25/10*8/5. Suppose 0 = -2*y - 4*i + 30, 3*i - 29 = -4*y + 31. Let j be 1 - -4*(-3)/y. What is the nearest to 0 in q, j, 1/6? 1/6 Let j be -2*(3/(-2) - 51/(-30)). Which is the nearest to j? (a) 3 (b) -1/6 (c) -23 b Let u = 0.17 + -11.17. Let o = -338 - -334. Let j be -2*(-3)/(-12)*2. Which is the nearest to j? (a) o (b) 0 (c) u b Let n be 24/(-13) + 1 + 135/(-117). Let u = -17 + 24. Let q = -18.1 - -18. What is the nearest to q in u, 0, n? 0 Let f = 1458.2 + -1458. Let m = -11 - -3. What is the nearest to f in 1, m, 0.2? 0.2 Let q = -37 + 29. Let d be (-4)/q + 1/(-2). Let p = -5/24 - -7/8. What is the nearest to d in -4, -1/4, p? -1/4 Let r = -0.1302 + -3.8698. Which is the nearest to 1? (a)
{ "pile_set_name": "DM Mathematics" }
Is j composite? True Suppose -h - 5950 - 2716 = 0. Let y = h + 14565. Is y a prime number? False Let v = -22 - -12. Is v/(-45) - 44593/(-9) a composite number? True Let f(k) = 160*k**2 - 11*k + 17*k - 5 - 4*k. Is f(-2) a composite number? False Is 2/7*(-1919169)/(-18) composite? True Let k(p) = -31*p + 63. Let g be k(2). Is 3490 + g + 0/(-4) prime? True Suppose -10*i + 52 = 102. Let v(b) be the third derivative of -b**6/120 - b**5/15 + b**4/12 + 2*b**3/3 + 2*b**2. Is v(i) a composite number? False Suppose 0 = 23*k + 9*k - 160. Suppose -2*b - 5*w + 21282 + 1816 = 0, 2*w - 57703 = -k*b. Is b composite? True Suppose 0*n + 0*n = 9*n. Suppose 5*m - 2092 = -c, n*c = m + c - 416. Is m a prime number? True Suppose 2*p - p - 1062 = 5*y, 0 = -y - 3*p - 206. Let l be y/(-7)*63/27*3. Is (l/3)/(2/3) a composite number? True Suppose 1963*a - 1393060 = 1959*a. Is a a composite number? True Let b be 124/20 + 4 - 4/20. Suppose 25897 - 93927 = -b*m. Is m a prime number? True Let g(l) = 1939*l + 14. Suppose -5*o + s = 100, -o + s - 37 = o. Let a(k) = 388*k + 3. Let t(z) = o*a(z) + 4*g(z). Is t(-3) a composite number? True Let o = 107 - 99. Is ((-14)/5)/(o/(-4220)) composite? True Let q(v) = 73*v**2 - 8*v + 3. Let n(d) = -73*d**2 + 7*d - 3. Let g(c) = 4*c - 22. Let o be g(4). Let y(z) = o*n(z) - 5*q(z). Is y(1) prime? False Let d(w) = -w**2 + 4*w + 17. Let s be d(-2). Is s + -5 - 1 - -878 composite? False Let h(m) = 4 + 4*m + 1145*m**2 + 6 + 2*m. Let k = 145 + -148. Is h(k) composite? True Suppose 2*c = -2*c. Suppose 2*l + 5*w + 0*w - 11 = c, 3*l = -5*w + 4. Is (-3108)/l + -1*1 prime? True Let q = -408 - -413. Suppose 14838 = x + 3*x - 2*h, h = -q*x + 18544. Is x a composite number? False Is (204/(-24))/17 - (-5469400)/16 composite? True Let g(f) = f**3 + 2*f**2 + 12*f + 32. Let q(n) = 28*n + 15. Let l be q(0). Is g(l) a composite number? True Suppose 4*h + 49*c = 52*c + 10518, 5*c = 2*h - 5252. Is h a composite number? True Let g(q) be the third derivative of 263*q**4/8 - 13*q**3/6 + 2*q**2. Let u(w) = w**3 + 3*w**2 + 15*w + 80. Let x be u(-4). Is g(x) prime? False Let n(t) = -2*t**3 - 11*t**2 + 17*t - 29. Suppose -10*m - 54 - 46 = 0. Is n(m) a prime number? True Suppose 5*f - 2*m = 97788, 5*f - 90213 - 7563 = -m. Suppose 0*b = 5*i + b - 97764, 3*b + f = i. Is i a composite number? False Suppose -651392 - 1625826 = -20*g + 942122. Is g a prime number? True Suppose 0 = -4*a + 3*a - 2*t + 18, -2*a + 36 = -2*t. Suppose 0 = -2*g - 7*g + a. Suppose -2*x + g*f + 624 = 4*f, 2*f = 5*x - 1525. Is x composite? False Let a(w) = 12*w + 32. Let y be a(-4). Let f = y - -14. Is (2 - 1)/((-793)/397 - f) composite? False Is ((-343580)/30)/(6/(-9)) prime? False Let y(q) be the second derivative of -26*q + 0 + 3/2*q**3 + 25/12*q**4 + 7/2*q**2. Is y(6) composite? True Is 834730180/9490 - (1/13)/(-1) a composite number? False Suppose 0 = 2*m - 50*m + 48. Suppose -2*z - 3 - m = 0, -5*d + z + 14647 = 0. Is d composite? True Let q = -964 - -5970. Is q a composite number? True Suppose -4*d + 248935 = 5*q, 0 = 6*q - 10*d + 11*d - 298703. Is q a composite number? False Let u = 32 - 19. Suppose 3*a - 3*t = 48, 0 = 4*t + u - 17. Suppose a = -4*q + 2*g + 655, 3*q - 480 = g. Is q prime? False Let d = -1590 - -2295. Suppose -4*v + 9*v - d = 0. Is v a composite number? True Suppose -54*t = -66*t + 24. Suppose 6*k - k = -t*x + 27019, -2*x = -4*k - 27046. Is x prime? False Suppose 0 = -s - 7, -709*s - 3036986 = -5*x - 706*s. Is x prime? False Suppose 5*d - 2*n - n = 105, -25 = -5*n. Let h(v) = -1 - 1 + d*v - 5 + v**2. Is h(16) a prime number? False Is 2545780/12 - ((-323)/570 + (-2)/20) composite? True Let p(y) = 7*y**2 - 2*y. Let z be p(1). Suppose 0*k + 3*x - 2849 = -k, z*k - 14233 = -3*x. Is k a prime number? False Is (-2631302)/(-2)*((-7)/1 + (-16)/(-2)) composite? False Is 8/(-16)*(-43459 + (-7)/(14/6)) composite? True Let g(x) = -3418*x**2 - x - 12. Let z(n) = 6837*n**2 + 2*n + 26. Let i(v) = -13*g(v) - 6*z(v). Is i(1) prime? True Let t be (-4*(-6)/8)/1. Let m be (-573)/(-4) + 1/(-4). Suppose 4*q + 2468 = 4*z, -t*z - m + 1991 = -2*q. Is z a composite number? True Suppose 0 = 7*z + 4*z - 55. Suppose 0*f - 2*f + 52131 = 3*i, 0 = -2*i + z*f + 34754. Is i composite? False Let u(z) = -17*z + 625. Is u(-14) prime? True Let h(f) = 79*f**2 - 10*f + 108. Let w(v) = -3*v**2 + v + 1. Let z(k) = h(k) + 4*w(k). Is z(-11) composite? True Let r = -17 - -9. Let n(p) = -5*p**3 - 7*p**2 - 5*p + 5. Let v(y) = -6*y**3 - 7*y**2 - 7*y + 5. Let x(i) = 3*n(i) - 2*v(i). Is x(r) prime? False Let v(l) = -l**3 + 4*l**2 + 5*l + 2. Let h(j) = 11*j + 5. Let b be h(0). Let g be v(b). Suppose g*p - 7*p + 5*i = -385, 6 = 3*i. Is p composite? False Let r = 18020 + 28643. Is r prime? True Let f be 4 - 1*2/(-2). Suppose 4*x - 3*q = 15, 3*q = 4*x + 2*q - f. Suppose x = -3*b + 43 + 131. Is b a composite number? True Let h = -960 + 965. Let j = 4 + 1. Suppose g - 923 = -p + 645, 0 = j*g - h. Is p composite? False Let t be 9 + (-16)/2 + -1. Suppose t = -24*x + 30*x - 34530. Is x composite? True Let m = 1665 - -5558. Is m composite? True Suppose 0 = 4*n - 3*i + 196, -3*n - 96 - 26 = 4*i. Let m = 772 - n. Suppose -m = 28*h - 30*h. Is h composite? False Suppose 148042 = 2*p - 151632. Is p composite? False Let v(n) = -n**2 - 2*n + 72. Let p be v(0). Suppose -82*z + 74650 = -p*z. Is z a prime number? False Let l(u) = 70*u + 25. Let y(g) = 851*g + 305. Let d(f) = -567*f - 203. Let r(o) = -8*d(o) - 5*y(o). Let z(w) = -9*l(w) + 2*r(w). Is z(-6) a prime number? False Suppose -25*u + 56*u = 38719. Is u a composite number? False Let h = 4 + -23. Let w be 1*-2 + (-285)/h. Suppose 11996 = -9*a + w*a. Is a a prime number? True Suppose 30 = -5*x - 5*k, 0 = 2*k + 4. Is (-49885)/(-15) - (65/(-15) - x) prime? False Let m = -137922 + 81090. Is 2/(-6) + m/(-72) composite? True Suppose -33 = -10*o + 7*o. Suppose s = -3*w + 6409, -15 = w - o. Is s a composite number? False Suppose -10*h - 2437 = -66587. Let f = 23286 - h. Is f a prime number? True Suppose 9*l + 13 = 4*b + 12*l, -2*l = b + 3. Let x(k) = 446*k + 185. Is x(b) prime? True Suppose 4*n - 2*j = 3 - 5, -8 = n + 2*j. Let a(m) = m**3 + 2*m**2 - m + 2. Let g be a(n). Is 295 + -7 + g + 0 + -1 a prime number? False Let x(y) = 5435*y**2 + 78*y - 291. Is x(4) a composite number? False Let x(o) = -2*o + 30*o**2 - 54*o**2 + 798*o**3 + 25*o**2. Let a be x(1). Suppose 4*c - a = -5*l, -130 - 36 = -l - 3*c. Is l composite? False Suppose -17871 = -5*n - 4*x + 14798, 3*x + 26160 = 4*n. Is n prime? False Let y = -22017 - -4705. Is 5/15 - y/3 a prime number? False Suppose -3*u + 3055 = 4*b, -2*u + 0*b + 2045 = b. Let g = -538 + u. Is g composite? False Let b = 2317 - 6587. Is 47/(-94) + (-2)/(8/b) a prime number? False Let u = -151 - -151. Suppose 0 = 3*m - 5*y - 26433 - 14827, u = m - 3*y - 13760. Is m a composite number? True Let c = 1473 + 185. Let j = 4719 - c. Is j prime? True Suppose -4*q - 12978 = 17*q. Let n = 2249 + q. Is n prime? False Let r(q) = -q**3 - 5*q + 8941. Let y(u) = -u**2 - 21*u - 20. Let d be y(-20). Is r(d) composite? False Suppose j + 4*y = 150225, -3*j + 4*y = -6*j + 450691. Is j a prime number? False Let i be (-51)/(-9) + (16/12 - 1). Suppose 4 + 2 = i*r. Is (-2 + r)*(-93)/3 a prime number? True Suppose -47 - 13 = -10*l. Suppose -4*n + 18 = 2*j, l*n - 30 = n - j. Let d(c) = 9*c**2 + 8*c + 2. Is d(n) composite? False Let c(j) = -5 + 116*j + 83*j**2 + 111*j - 14 - 4 - 42*j**2. Is c(-21) composite? False Suppose -4 = r + 5*z + 1, 5*z = -5. Suppose 21*n - 32*n + 77363 = r. Is n composite? True Suppose -h + 1321 = -4*z, -4*z + 0*h - 1331 = -3*h. Let d(t) = t**3 - 15*t**2 + 14*t + 26. Let u be d(17). Let b = u - z. Is b prime? True Suppose 18*r = 5*r - 4368. Is (-1)/(-16) - 3050523/r composite? True Suppose 8 = 2*c - 0*c. Suppose -k - c*a = 1085, -1817 - 373 = 2*k + 4*a. Let h = -518 - k. Is h composite? False Suppose -8*i - 156604 = -10*i + m, -i + 4*m + 78309 = 0. Suppose -3*p - i = -4*l, l = -0*p - 5*p + 19604. Is l prime? False Is (-2)/8 + (-332339497)/(-1876) a prime number? False Is 19 + -4 + (17 - -56807) composite? True Suppose 4*a = -u + 184, -5*a + 8*u = 7*u - 230. Suppose 65*f - a*f - 912323 = 0. Is f a composite number? False Let u be 22 + (-4)/((0 - -2) + -6). Suppose -392
{ "pile_set_name": "DM Mathematics" }
, f, -0.2? f Suppose d + 316 = 72. Let m = -229 - d. What is the second smallest value in -1/3, 16, m? m Let i = -509830/219 - -2328. Let t = 136/1095 + i. Let n be ((-2 + 1)*2)/9. What is the fourth biggest value in t, -4, -5, n? -5 Let l = -36521 - -36516. What is the fourth biggest value in -1/8, 2/123, l, 3? l Let w = 687 + -686. Let g = -15 - -11. What is the third smallest value in w, 1/5, g, 7? w Let d(v) = -v**2 - v + 3. Let j be d(2). Let p = -27592 + 27597. What is the biggest value in 0.2, j, 0.3, p? p Let h = 37 + -36.9. Let f = 5.208 - 0.208. Which is the second smallest value? (a) 2 (b) f (c) h (d) 3/5 d Let l be (-11 + 14)*(-1)/3*-6. Let v = -9 + 9.08. What is the third smallest value in l, v, 0.4? l Let q = 155504/67 - 2321. Let n = 46/469 - q. Let w(v) = v**3 + 11*v**2 - 12*v + 4. Let s be w(-12). What is the third biggest value in n, s, -3? -3 Let s be 6/(2 + -1) - 9. Suppose 4*n - p - 9 = 3*n, -2*p - 28 = -4*n. Which is the third smallest value? (a) n (b) 1/2 (c) 0 (d) s b Let g = 33953.518 + -34029. Let n = -0.918 + g. Let i = 76 + n. Which is the fourth smallest value? (a) i (b) -3/4 (c) 3 (d) 2/3 c Let s = 18 + -13. Let m = -2319 - -4569. Let b be 1320/m - 1/(-6)*-4. What is the smallest value in b, s, -1? -1 Let o = -0.1 + 0.2. What is the biggest value in o, -3/11, -7/3? o Let u = -199.4 + 205.4. Which is the second biggest value? (a) 12 (b) -8 (c) u c Let t(b) = -570*b + 27. Let p be t(2). Let a = p - -2215/2. Let f = -0.1 + 0.2. What is the smallest value in -3, a, f? a Let t = 8223 + -8212. What is the fifth smallest value in -13, 0.1, t, -0.2, 0? t Let i = 15 - 61/4. Let x = -27.0273 + 0.0273. Let u = 105 + -105.1. Which is the biggest value? (a) i (b) x (c) u c Let s = 21 + -21.09. Let l = -45223 + 45234. Which is the third smallest value? (a) s (b) 1 (c) l c Let u = -2.993 - -3.293. Which is the second biggest value? (a) u (b) -6 (c) 0 (d) -5 c Let x = 0.55458 - 0.15458. Suppose 0 = -4*r + r + 12. Which is the second biggest value? (a) x (b) 2/3 (c) 3 (d) r c Let j = 0.27 - -0.03. Let t = -56877/5 + 625652/55. What is the second smallest value in 3, t, j, 4? j Let w = 0.1 - 0.2. Let y = 2.6 - 3. Let j = w - y. Which is the third smallest value? (a) 0.1 (b) j (c) 2/5 c Suppose 4*f + 5*r = -4, -23*r = -20*r + 12. What is the second smallest value in -5, 4/5, -4, f? -4 Let j = 0.1011 - 5.1011. Let z = 2.5 + -3. Suppose 0 = -0*i + 2*i - 4. Which is the third biggest value? (a) z (b) j (c) i b Let z = -1444 + 1441.1. Which is the fourth smallest value? (a) 4 (b) -0.3 (c) 2/5 (d) z a Let q = -3438/5 + 10304/15. Which is the biggest value? (a) q (b) -1/6 (c) 409 c Let a be -9 + 396/60 - (-3 - -2 - 1). What is the fifth biggest value in 1, 0.2, 3, 249, a? a Let k = -0.193 + -0.007. Let z = k + 5.2. Let g be 4 + (1 - (10 - 0)). What is the third biggest value in g, z, 0.4, 1/6? 1/6 Let c = -19.8 + 23.56. Let b = -4.06 + c. Let p = 35 - 25. What is the third smallest value in p, b, -0.5, 2/7? 2/7 Let y = 562 - 1685/3. Let d = 3.1 + -3.3. What is the second smallest value in d, -28, y? d Let p = 176.028 - 0.028. Let r = p + -181. What is the biggest value in 179, r, 4? 179 Let i be (-12)/54 + ((-1570)/(-180) - 7). Which is the second smallest value? (a) i (b) 1 (c) -1 (d) -11 c Let k = -5810 + 5812. Which is the biggest value? (a) 0.3 (b) -17 (c) -7 (d) k (e) -3/8 d Let x = -5.723 + -2.277. What is the biggest value in x, 0, -2/7, -1, 3? 3 Let k = -3878 + 4584. Which is the biggest value? (a) k (b) 0 (c) -3/7 a Let a = 0.0335 - 1.0335. What is the smallest value in 1.46, 5/3, a? a Suppose -56415*n + 760 = -56377*n. Suppose 0*x + r = -5*x - 17, 3*x - r + 15 = 0. Which is the biggest value? (a) n (b) -2/5 (c) x a Let u = -26 + 121.5. Let w = 95 - u. What is the fourth smallest value in -12, -2/5, -4/9, w? -2/5 Suppose 20*b - 15 = 19*b. Suppose -b = 5*d + 5*t, 3*d + t + 4 = -3. Let o be (d - (2 + -30))/(3 + -5). What is the second biggest value in o, 0.1, -2/9? -2/9 Let j = -147114 + 147113.97. Suppose 5*f = 5*l + 25, 5*l + 0*l + 5 = -5*f. Which is the biggest value? (a) j (b) -1/4 (c) f c Let p = -13942 + 13943. What is the third smallest value in 0, p, -0.5, 21? p Let d = -3229.4 + 3227. Which is the smallest value? (a) 1 (b) d (c) -0.3 b Suppose 21*i + 55*i = -451 + 71. Let p = 2.7 - 14.7. Let v = -21 - p. Which is the third biggest value? (a) i (b) 0.3 (c) v c Let f = 5.6 - 0.6. Let k = -7.0194 - -0.0194. Let h = 1768 - 1768.4. What is the third biggest value in h, k, 3, f? h Let o = -179/735 - -424/735. Let s = -6 + 2. What is the third smallest value in s, 3, 0.1, o? o Let r be (-48)/(-784)*35/30. Which is the biggest value? (a) r (b) 0.5 (c) 5 (d) 1 (e) 2/5 c Let n = 0.05 - -3.95. Let l = -11579/117 - -1288/13. Which is the smallest value? (a) l (b) n (c) -3 c Let u = -18.33 - -18. Let a = -0.81 - u. What is the third biggest value in 1/9, a, -5? -5 Let k = 358 + -1060/3. Let v = -125/6 + 21. What is the second biggest value in v, 2, k? 2 Let m = 117/2 - 815/14. What is the second biggest value in 14, m, 15? 14 Let i be 8 - (145/10 - 6). Let w = 9.7 - 9.3. What is the second biggest value in i, w, 0.01? 0.01 Let x be (1*(-30)/25)/(4/(-1190)). Let a = -2141/6 + x. What is the third biggest value in 149, a, 0.3? a Let h = 0.00733 - -0.49267. Which is the second smallest value? (a) 0.1 (b) h (c) 1/6725 a Let q be ((-2)/9)/(0 + 32/24). Let k = 3 + 7. Let p = k - 12. Which is the third biggest value? (a) p (b) -2/3 (c) q a Let v = -374 + 1049. Let d = 618.4 - v. Let g = 57 + d. What is the third smallest value in g, -4, 31? 31 Suppose -8*z = 367 + 441. What is the second biggest value in z, -0.02, 0.3? -0.02 Let l = 94679 + -94678. Let w = 0.1 - -1.9. Let x = 1 - w. Which is the smallest value? (a) -3/4 (b) 0 (c) x (d) l c Let p = 3112 + -3111.8. Which is the fourth biggest value? (a) p (b) -2/11 (c) -4 (d) -602 d Let n = -10569 - -10567. Which is the biggest value? (a) 3/5 (b) n (c) 359 c Let u = 0.2154 - 0.1154. Which is the third biggest value? (a) 0.5 (b) u (c) 1.8 (d) 5 (e) 5/6 e Let p = 2/55557 - -111100/388899. What is the second smallest value in 25, 0.043, p? p Let x = 62015/6 + -10336. Let o = -50 - -47. Which is the second biggest value? (a) x (b) -5 (c) o c Let w = -0.21 - -46.21. Let b = -60626.5 - -60627. What is the third smallest value in b, w, 0.2? w Let t = 15901.07 + -15901. Which is the second smallest value? (a) t (b) -2 (c) 2.5 a Let t = -4665 + 32657/7. What is the smallest value in 0.4, 2, -5/3, -0.4, t? -5/3 Let k be (-5 - -2)*(6448/(-432) - -15). What is the biggest value in -8/5, 0, 1.4, k? 1.4 Let g = 1.6463 + -2.1463. Which is the third smallest value? (a) -125 (b) g (c) 0.5 (d) -4 (e) -0.4 b Let j = -13432 + 13437. Let w be 0 + 5/(10/48). What is the third smallest value in -0.4, j, w? w Let k be 2/((14/4)/(16 - 30/2)). Which is the fourth smallest value? (a) -2/7 (b) -1/14 (c) -1/3 (d) k d Let w be -5 - (-2)/(-6)*(-774)/48. Suppose 21*p = 13*p + 32. What is the second smallest value in 7, p, w, 0.1? w Let g = -4 + 7. Let t be 19/(-21) - 76/(-133). Let r be (-4)/(-10)*51/(-34). What is the third biggest value in r, t, g? r Let w = 2 + -4. Let d = 188.1 + -187.6. What is the second smallest value in 0.3, -4, d, w? w Suppose -5*n = -10 - 80. Let s(h) = -47*h - 38. Let x be s(n). Let i be 2 + 13/(x/144). Which is the second smallest value? (a) 1/4 (b) i (c) -1 (d) -5 c Let x be ((-1007)/212)/((-38)/4). Which is the second smallest value? (a) -1/4 (b) x (c) 24/17 (d) -1/5 d Let d be ((-1995)/(-630) + -3)/(7/(-12)). Let q be (-9)/((-1)/2*3). Let g be 2/q - 4/6. What is the second smallest value in 1/25, g, d? d Let g be (-14)/(3*4/(-120)). Let x be (4/(-9))/(g/105). Which is the second biggest value? (a) x (b) 80 (c) -0.2 (d) -2/9 c Let d = -24788 + 24847.515. Let b = 0.015 - d. Let h = -60 - b. What is the second biggest value in -1, h, 6? h Let l = 6 - 5. Let r = -54742 + 54719. Which is the third biggest value? (a) l (b) r (c) -2/17 b Let n = 0.007 + 0.293. Let v = 1088.4 + -1088. Which is the fourth smallest value? (a) 5 (b) 4 (c) v (d) n a Let o be 1 - (-3)/(-12)
{ "pile_set_name": "DM Mathematics" }
4 + x*m**3 + 3*m**3. 2*m**3*(m - 2)**2 Let t = 187 - 187. Let f(r) be the third derivative of 0*r - 1/540*r**6 + 0*r**5 + 0*r**4 - 1/945*r**7 + 0*r**3 + t - 6*r**2. Factor f(w). -2*w**3*(w + 1)/9 Let i be 4 + (-356)/(4/(-1)). Factor -i*h**3 - 16*h + 19*h**2 - 7*h**3 - 99*h**2. -4*h*(5*h + 2)**2 Let t(w) be the second derivative of w**7/14 + 6*w**6/5 + 27*w**5/4 + 27*w**4/2 + 248*w. Factor t(n). 3*n**2*(n + 3)**2*(n + 6) Determine t, given that -2*t**2 + 4*t + 4*t**3 + 2*t**5 + 1996*t**4 - 3988*t**4 - 10*t**3 + 1994*t**4 = 0. -2, -1, 0, 1 Suppose -4*f - 3*o = 121, 0 = 2*o + 2 + 4. Let w = f - -30. Factor 2/11*p**w + 12/11*p + 18/11. 2*(p + 3)**2/11 Factor -5*o**2 + 16*o + 21*o**2 - 4*o**2 + 24 - 10*o**2. 2*(o + 2)*(o + 6) Suppose -2*w - 3 + 7 = 0. Let f be -1*(-19 - -3)*(-5)/(-30). Determine s so that 4/3 - 5/3*s**w - f*s = 0. -2, 2/5 Let v(s) be the third derivative of s**7/7560 - s**6/1080 + s**5/360 + 7*s**4/8 - 20*s**2. Let f(g) be the second derivative of v(g). Factor f(r). (r - 1)**2/3 Let c(w) = 12*w - 202. Let x be c(17). Let i(u) be the first derivative of 6 + 10*u**x - 4*u - 25/3*u**3. Suppose i(g) = 0. Calculate g. 2/5 Let t(s) be the third derivative of -s**7/630 - s**6/180 - s**5/180 + 21*s**2 + 4. Find m such that t(m) = 0. -1, 0 Determine d so that 4/5*d - 8/5 + 4/5*d**2 = 0. -2, 1 Let v(r) = r - 4. Let p be v(3). Let z(f) = 1. Let o(g) = -4*g**2 + 12*g - 16. Let y(m) = p*o(m) - 8*z(m). Factor y(a). 4*(a - 2)*(a - 1) Let p = 21/67 + 29/335. Factor -p + 2/5*n**3 - 6/5*n**2 + 6/5*n. 2*(n - 1)**3/5 Let l(a) = 8*a**2 + 17*a + 20. Let v be -2*(3 + 36/(-8)). Let k(b) = 55*b**2 + 120*b + 140. Let u(g) = v*k(g) - 20*l(g). Find j, given that u(j) = 0. -2 Let x = -23 + 25. Let y(h) = -2*h**3 + 6*h. Let w(b) be the second derivative of -b**3/6 - 2*b. Let r(c) = x*y(c) + 12*w(c). Factor r(m). -4*m**3 Suppose -2*x + 3 = -z, 5*x - 4 - 8 = z. Factor 4*g**3 + 40*g + 25*g**2 + 2*g**x - 6*g**3 + 5*g**3 + 20. 5*(g + 1)*(g + 2)**2 Let r(m) be the first derivative of m**7/1470 + m**6/90 + m**5/35 - 8*m**3 + 9. Let f(b) be the third derivative of r(b). Solve f(o) = 0. -6, -1, 0 Suppose -9/2*r**3 - 99/2*r + 27/2 + 57/2*r**2 = 0. Calculate r. 1/3, 3 Let t(s) = 2*s**3 - 3*s**2 + s - 2. Let y(g) = -17*g**2 - 15*g + 30. Let c(l) = -t(l) + y(l). Factor c(j). -2*(j - 1)*(j + 4)**2 Let y(r) = 5*r**3 - 13*r**2 + 7*r + 22. Let k(o) = -4*o**3 + 12*o**2 - 6*o - 20. Let d(w) = -6*k(w) - 4*y(w). Factor d(z). 4*(z - 4)*(z - 2)*(z + 1) Factor 3 + 6 - 5 - 471*k + 9*k**2 + 483*k. (3*k + 2)**2 Let z(v) be the third derivative of -v**7/140 - 5*v**6/12 - 187*v**5/20 - 363*v**4/4 - 1331*v**3/12 + 112*v**2. Suppose z(u) = 0. What is u? -11, -1/3 Suppose 0*n + 1/2*n**2 + 0 + n**4 + 3/2*n**3 = 0. Calculate n. -1, -1/2, 0 Let p(l) = -l**2 - 15*l - 3. Let w be p(-15). Let o be 2 + w + 2 - 12/36. Solve o*k**2 + 6 + 4*k = 0. -3 Let v(x) = -3*x + 8. Let l = 2 - 0. Let k be v(l). Factor 1/4*u - 1/2*u**k - 1/4*u**3 + 1/2. -(u - 1)*(u + 1)*(u + 2)/4 Let x = 4/6017 + 11982/78221. Factor 0*f + x*f**2 - 2/13. 2*(f - 1)*(f + 1)/13 Let p(l) be the first derivative of -5*l**6/6 - 8*l**5 - 75*l**4/4 + 40*l**3/3 + 40*l**2 + 583. Suppose p(x) = 0. Calculate x. -4, -1, 0, 1 Suppose -65*v + 21 = -64*v. Suppose 7*o + v*o + 4*o**3 - 24*o**2 - 24 + 0*o + 16*o = 0. Calculate o. 1, 2, 3 Solve -38*g + 9*g**4 - 7*g**4 - 50*g**2 - 4*g**4 - 28*g**2 - 42*g**3 = 0. -19, -1, 0 Let z(s) be the first derivative of 3*s**4/4 + 23*s**3 - 3*s**2/2 - 69*s + 93. Let z(a) = 0. What is a? -23, -1, 1 Let o(g) be the first derivative of -4*g**5/5 + 16*g**3/3 - 75. Factor o(h). -4*h**2*(h - 2)*(h + 2) Let i(j) = -3*j**3 + 5*j**2 + 22*j - 56. Let m(l) = 2*l**3 - 4*l**2 - 15*l + 37. Let a(p) = 5*i(p) + 8*m(p). Let a(b) = 0. What is b? -2, 1, 8 Suppose 3*f = 22 - 16. Factor 50*p - 135*p - 75*p + 5*p**f + 1280. 5*(p - 16)**2 Let v(g) be the third derivative of -g**6/30 - 2*g**5/3 + g**4/6 + 20*g**3/3 - 22*g**2 + 2. What is n in v(n) = 0? -10, -1, 1 Let n(h) = -8*h**3 + 17*h**2 - 34*h - 53. Let y(v) = -38*v**3 + 86*v**2 - 170*v - 266. Let i(t) = -28*n(t) + 6*y(t). Determine u, given that i(u) = 0. -1, 4, 7 Let y(r) be the first derivative of -7*r**4/4 + 26*r**3/3 + 43*r**2/2 + 10*r - 87. Factor y(u). -(u - 5)*(u + 1)*(7*u + 2) Let i be (4/(-8) - 1)*-2. Find f such that -41*f**3 - 6*f**2 + 20 + 4 - 12*f + 44*f**i = 0. -2, 2 Let c(b) be the third derivative of b**6/48 + 169*b**5/60 + 1411*b**4/12 - 578*b**3/3 - b**2 + 17. Find f such that c(f) = 0. -34, 2/5 Let -4*y**2 - 52/5*y + 4/5*y**3 - 28/5 = 0. What is y? -1, 7 Let w(r) be the second derivative of -2*r**6/9 + 7*r**5/15 - 2*r**4/9 + 2*r - 18. Factor w(z). -4*z**2*(z - 1)*(5*z - 2)/3 Let c = 233 - 229. Let u(d) be the second derivative of 0*d**2 + 1/9*d**3 + 0 + 6*d + 1/180*d**6 - 1/40*d**5 + 0*d**c. Let u(t) = 0. What is t? -1, 0, 2 Let y(f) = -2*f. Let r(u) = -3*u**3 + 17*u**2 + 30*u - 12. Let h(j) = 4*r(j) + 44*y(j). Let h(z) = 0. What is z? -1, 2/3, 6 Let y(w) be the third derivative of w**8/20160 + w**7/2016 - w**6/480 - w**5/30 - w**4/24 + 10*w**2. Let j(b) be the third derivative of y(b). Factor j(a). (a + 3)*(2*a - 1)/2 Let t be (-2)/(-4)*(10/2 + -5). Suppose t = 4*l + 2*l - 12. Determine v so that 4/3*v**l + v**3 - 2/3 - 1/3*v = 0. -1, 2/3 Factor 16*q - 24*q**2 - 105 + 20*q - 17*q**2 + 38*q**2. -3*(q - 7)*(q - 5) Let i = -62/45 + 34/15. Let c(s) be the first derivative of -2/27*s**3 + 0*s**2 - 2 + i*s. Determine d so that c(d) = 0. -2, 2 Let q(t) be the third derivative of t**6/480 + 17*t**5/240 - 37*t**4/96 + 19*t**3/24 - 6*t**2 - 2. Solve q(h) = 0 for h. -19, 1 Let a be 6/8 + 20/16. Determine r, given that r**a + 92*r**3 - 93*r**3 + r**5 + 0*r**4 - r**4 = 0. -1, 0, 1 Let b = 1801 - 1801. Factor -1/7*p**2 + 1/7*p**3 + 0*p + b. p**2*(p - 1)/7 Factor 1187*z**3 - 15*z - 1186*z**3 + 23*z - 3*z**2 - 3*z**2. z*(z - 4)*(z - 2) Suppose -3*j = -l - 11, 207*l - 210*l = j - 7. Let 8/7*f + 8/7*f**5 - 2/7*f**j - 2/7 + 4/7*f**2 - 16/7*f**3 = 0. Calculate f. -1, 1/4, 1 Suppose -158*l = -156*l. Suppose 0*i - 3*i + 9 = w, l = -4*w - 2*i + 16. Factor 3/2*o**w + 7/2*o**2 + 0 + o. o*(o + 2)*(3*o + 1)/2 Let k(f) be the third derivative of 1/30*f**5 + 12*f**3 + 0 + 0*f - 37*f**2 - f**4. Factor k(a). 2*(a - 6)**2 Let k be 3/(-2)*14*(-62)/651. What is t in 0 - 10/7*t**k + 4/7*t + 8/7*t**3 - 2/7*t**4 = 0? 0, 1, 2 Let m(w) be the third derivative of -w**7/420 - w**6/36 + w**5/60 + 5*w**4/12 + 2*w**3 - 18*w**2. Let l(t) be the first derivative of m(t). Factor l(p). -2*(p - 1)*(p + 1)*(p + 5) Suppose -s - 37 = -39. Let u(h) be the second derivative of 1/66*h**4 - 4/33*h**3 + 6*h + 3/11*h**s + 0. Let u(w) = 0. Calculate w. 1, 3 Suppose k + 20*i + 28 = 15*i, k + 4 = -i. Factor 1/4*f**k - 1/4 - 1/4*f**3 + 1/4*f. -(f - 1)**2*(f + 1)/4 Let m(p) = 6*p**2 - 8*p + 2. Let b(t) = -5*t**2 + 7*t - 2. Let q(l) = 7*b(l) + 6*m(l). Factor q(y). (y - 1)*(y + 2) Let p(g) be the first derivative of 3/140*g**5 + 0*g**3 + 0*g + 1/28*g**4 + 1/280*g**6 - 5 - 1/2*g**2. Let f(l) be the second derivative of p(l). Factor f(h). 3*h*(h + 1)*(h + 2)/7 Let b(s) be the first derivative of -1/3*s**3 + 8 + 0*s + 0*s**2. Factor b(r). -r**2 Let x(u) = 28*u + 284. Let m be x(-10). Let h(q) be the first derivative of 0*q + 81/2*q**2 + 27/4*q**4 - m + 27*q**3 + 3/5*q**5. Factor h(z). 3*z*(z + 3)**3 Let x = -2281/2 + 1142. Solve -x*k**5 + 3/2*k**2 - 3/2*k**4 + 0 - 3*k + 9/2*k**3 = 0 for k. -2, -1, 0, 1 Let q(n) be the second derivative of -1/20*n**5 + 1/6*n**3 + 1/24*n**4 + 0 - 2*n - 3/8*n**2 + 1/120*n**6. Determine j so that q(j) = 0. -1, 1, 3 Let m(v) be the second derivative of -10*v**7/21 + 23*v**6/6 - 21*v**5/2 + 35*v**4/3 - 5*v**3/3 - 15*v**2/2 - 12*v + 11. Find t such that m(t) = 0. -1/4, 1, 3 Let x(g) be the first derivative of g**6/24 - g**5/20 - 15*g**4/8 + 8*g**3/3 + 20*g**2 + 157. Factor x(i). i*(i - 4)**2*(i + 2)*(i + 5)/4 Let v(z) be the second derivative of z**5/50 + 7*z**4/10 + 33*z**3/5 - 121*z**2/5 - 218*z. Solve v(m) = 0. -11, 1 Let k(p) be the second derivative of 0*p**2 - 3/4*p**5 + 0*p**3 + 1/6*p**6 - 6*p + 5/6*p**4 + 0. Factor k(t). 5*t**2*(t - 2)*(t - 1) Suppose 2*o - 2 = -2*f + 3*o, f = 2*o - 2. What is r in -3*r**3 + 85 + 18*r**f - 85 + 0*r**3 = 0? 0, 6 Let i(b) be the third derivative of -b**6/360
{ "pile_set_name": "DM Mathematics" }
he next term in 971, 894, 769, 602, 399, 166? -91 What comes next: -8867, -17730, -26593, -35456, -44319, -53182? -62045 What is next in 5877, 5856, 5835, 5814? 5793 What is the next term in -1270, -2116, -2962, -3808, -4654? -5500 What comes next: 38325, 38298, 38263, 38226, 38193, 38170, 38163? 38178 What is the next term in -339, -849, -1363, -1887, -2427? -2989 What comes next: 14112, 14110, 14110, 14112, 14116, 14122? 14130 What is the next term in -81995, -81996, -81997? -81998 What comes next: -2462, -2460, -2456, -2450, -2442, -2432? -2420 What is the next term in -236, -1615, -5248, -12263, -23788, -40951, -64880, -96703? -137548 What is the next term in 6, -124, -424, -936, -1702, -2764, -4164? -5944 What comes next: -8, 279, 554, 823, 1092, 1367? 1654 What is next in 9536, 9645, 9826, 10079? 10404 What comes next: -185, -3144, -11657, -28502, -56457, -98300? -156809 What is the next term in -7427, -14842, -22253, -29654, -37039, -44402? -51737 What is next in 14144, 14143, 14142? 14141 What is next in 224627, 449257, 673891, 898529, 1123171, 1347817, 1572467? 1797121 What is next in 49997, 49994, 49991, 49988, 49985, 49982? 49979 What comes next: -14858399, -14858400, -14858401, -14858402, -14858403, -14858404? -14858405 What is next in -1336744, -2673490, -4010236, -5346982, -6683728, -8020474? -9357220 What is the next term in -839, -1638, -2437, -3236? -4035 What is the next term in 61528, 123057, 184582, 246097, 307596, 369073, 430522? 491937 What comes next: 851, 939, 1037, 1151, 1287, 1451? 1649 What is next in -148, -265, -382, -499, -616? -733 What is next in -1517, -1441, -1241, -857, -229? 703 What is the next term in 8215, 16347, 24479? 32611 What is next in -82, -538, -1750, -4096, -7954, -13702, -21718, -32380? -46066 What comes next: 6876, 6872, 6868, 6864, 6860, 6856? 6852 What comes next: 5861, 5873, 5899, 5945, 6017, 6121? 6263 What comes next: 15209, 15202, 15195, 15188, 15181? 15174 What is next in -61, -134, -231, -358, -521, -726, -979? -1286 What is the next term in 76, 556, 1352, 2464, 3892, 5636, 7696? 10072 What comes next: -24492, -97930, -220326, -391680? -611992 What is the next term in 91669, 91671, 91673? 91675 What is the next term in -142, -195, -194, -133, -6, 193, 470? 831 What is next in 98, 132, 172, 224, 294, 388, 512? 672 What is the next term in 1936, 1876, 1816, 1756, 1696, 1636? 1576 What is next in 15661, 31331, 47009, 62695? 78389 What comes next: -1317, -2598, -3879, -5160, -6441, -7722? -9003 What comes next: -311, -659, -1063, -1535, -2087, -2731? -3479 What is next in 33549, 67095, 100641, 134187, 167733, 201279? 234825 What is next in 451, 2008, 4603, 8236? 12907 What is the next term in -6441, -6573, -6785, -7071, -7425, -7841, -8313? -8835 What is next in 309211, 309207, 309203? 309199 What is the next term in -22720, -45692, -68662, -91630, -114596? -137560 What is next in 2281, 2004, 1727, 1450, 1173, 896? 619 What comes next: 46735, 93479, 140221, 186961, 233699? 280435 What comes next: 53, 344, 1041, 2318, 4349, 7308? 11369 What is the next term in -186685, -186679, -186673, -186667? -186661 What is the next term in 325, 195, 65, -65? -195 What is next in 134, 147, 158, 167, 174? 179 What is the next term in 1322, 2511, 3698, 4883, 6066, 7247, 8426? 9603 What is next in 16337, 65352, 147041, 261404, 408441, 588152? 800537 What is the next term in 16061, 16134, 16247, 16394, 16569, 16766, 16979, 17202? 17429 What comes next: 183950, 183951, 183952? 183953 What comes next: -1561, -1485, -1363, -1195? -981 What is next in 13, -167, -667, -1649, -3275? -5707 What is next in 34, 17, -26, -107, -238, -431, -698, -1051? -1502 What comes next: -2266, -4615, -6964? -9313 What is the next term in -42757, -171002, -384735, -683950, -1068641, -1538802, -2094427, -2735510? -3462045 What is next in -9591, -19180, -28769, -38358, -47947, -57536? -67125 What is the next term in 22699, 90778, 204241, 363088, 567319? 816934 What is next in 217562, 217557, 217548, 217535, 217518, 217497, 217472? 217443 What comes next: 10662, 21339, 32016, 42693, 53370, 64047? 74724 What is next in 76, 344, 786, 1402, 2192? 3156 What is the next term in 159, 1396, 4769, 11346, 22195, 38384? 60981 What comes next: -32454, -64888, -97320, -129750, -162178, -194604? -227028 What is the next term in 2218, 2177, 2134, 2089? 2042 What comes next: -770522, -1541043, -2311564, -3082085, -3852606? -4623127 What is the next term in -26725, -26727, -26731, -26737, -26745, -26755? -26767 What is the next term in 143517, 574038, 1291573, 2296122, 3587685? 5166262 What is the next term in -82500, -164999, -247498, -329997, -412496, -494995? -577494 What is the next term in 2894, 2873, 2826, 2741, 2606, 2409, 2138, 1781? 1326 What is next in 25, -76, -395, -1040, -2119, -3740, -6011? -9040 What comes next: -5529, -22075, -49653, -88263, -137905, -198579, -270285? -353023 What is the next term in -149, -564, -1273, -2288, -3621, -5284? -7289 What is the next term in 5009, 4961, 4881, 4769, 4625, 4449, 4241? 4001 What is next in 1822, 1796, 1730, 1606, 1406, 1112, 706, 170? -514 What is the next term in 57, 107, 157, 207, 257? 307 What is the next term in 17732, 35477, 53222, 70967, 88712, 106457? 124202 What is next in -482588, -965175, -1447762? -1930349 What comes next: -17596, -17598, -17600? -17602 What comes next: -131, -267, -415, -581, -771, -991, -1247, -1545? -1891 What is the next term in 29399, 117597, 264593, 470387, 734979? 1058369 What is next in -1567924, -1567922, -1567920, -1567918, -1567916, -1567914? -1567912 What is the next term in 1056, 4232, 9524, 16932, 26456, 38096, 51852? 67724 What comes next: -402, -1646, -3728, -6654, -10430, -15062, -20556, -26918? -34154 What comes next: -40, -658, -2344, -5632, -11056, -19150, -30448, -45484? -64792 What comes next: 27118, 27188, 27304, 27466? 27674 What is next in -11626, -11581, -11540, -11503, -11470, -11441? -11416 What is the next term in 734, 5776, 19454, 46082, 89974, 155444, 246806? 368374 What is next in -93, -143, -179, -195, -185, -143, -63, 61? 235 What comes next: 2295, 3078, 3861, 4644, 5427? 6210 What is the next term in -25719, -51321, -76923, -102525, -128127? -153729 What comes next: -15, 119, 307, 549? 845 What is the next term in -524, -4671, -15924, -37835, -73956? -127839 What is the next term in -116, -895, -3104, -7457, -14668? -25451 What is the next term in -365, -829, -1391, -2075, -2905, -3905, -5099? -6511 What is next in 214, 202, 186, 166, 142, 114? 82 What is the next term in 840, 839, 838, 837, 836, 835? 834 What is the next term in 13556, 54199, 121938, 216773, 338704, 487731? 663854 What is the next term in -3213, -6422, -9627, -12828? -16025 What comes next: 206, 477, 772, 1097, 1458? 1861 What comes next: -15075, -30153, -45231, -60309, -75387? -90465 What comes next: -260336, -520667, -780996, -1041323, -1301648, -1561971, -1822292? -2082611 What is the next term in -16, -53, -108, -175, -248, -321, -388? -443 What is the next term in 1497, 1252, 1007, 762? 517 What is the next term in 77150, 154308, 231466, 308624, 385782? 462940 What comes next: -70, -375, -886, -1597, -2502, -3595, -4870, -6321? -7942 What is the next term in 43, 260, 603, 1078, 1691? 2448 What is the next term in -1775, -3569, -5369, -7163, -8939, -10685, -12389, -14039? -15623 What comes next: -563, -921, -1213, -1409, -1479, -1393? -1121 What is next in 183, -278, -1531, -3972, -7997? -14002 What is the next term in 754, 1293, 1832, 2371, 2910? 3449 What is next in -1042214, -1042219, -1042226, -1042235, -1042246, -1042259, -1042274? -1042291 What is the next term in -70, -85, -102, -121, -142, -165, -190? -217 What is next in -189, -192, -195? -198 What comes next: 3, 180, 529, 1050, 1743, 2608, 3645? 4854 What is the next term in -145989, -291978, -437967, -583956, -729945, -875934? -1021923 What comes next: -37, 5, 59, 125, 203, 293, 395? 509 What is the next term in -32, -133, -342, -689, -1204? -1917 What is next in -6544, -6266, -5988? -5710 What comes next: 28950, 28948, 28946, 28944, 28942, 28940? 28938 What is next in 30, -43, -116? -189 What comes next: 1039, 28, -973, -1958, -2921, -3856, -4757, -5618? -6433 What comes next: 201, 670, 1451,
{ "pile_set_name": "DM Mathematics" }
the remainder when 95 is divided by 31. 2 Calculate the remainder when 46 is divided by 28. 18 Calculate the remainder when 2087 is divided by 8. 7 Calculate the remainder when 408 is divided by 82. 80 Calculate the remainder when 14552 is divided by 9. 8 Calculate the remainder when 383 is divided by 132. 119 Calculate the remainder when 516 is divided by 105. 96 Calculate the remainder when 703 is divided by 32. 31 What is the remainder when 697 is divided by 50? 47 Calculate the remainder when 97 is divided by 62. 35 Calculate the remainder when 61 is divided by 10. 1 Calculate the remainder when 52 is divided by 23. 6 Calculate the remainder when 78 is divided by 75. 3 What is the remainder when 897 is divided by 75? 72 Calculate the remainder when 627 is divided by 201. 24 Calculate the remainder when 151 is divided by 11. 8 What is the remainder when 320 is divided by 87? 59 Calculate the remainder when 647 is divided by 639. 8 What is the remainder when 226 is divided by 76? 74 What is the remainder when 440 is divided by 63? 62 Calculate the remainder when 223 is divided by 72. 7 Calculate the remainder when 41607 is divided by 190. 187 What is the remainder when 257 is divided by 250? 7 Calculate the remainder when 25 is divided by 6. 1 What is the remainder when 949 is divided by 38? 37 What is the remainder when 87 is divided by 83? 4 What is the remainder when 1329 is divided by 442? 3 What is the remainder when 1556 is divided by 78? 74 What is the remainder when 175 is divided by 85? 5 Calculate the remainder when 12406 is divided by 132. 130 Calculate the remainder when 965 is divided by 81. 74 Calculate the remainder when 89 is divided by 76. 13 What is the remainder when 138 is divided by 56? 26 Calculate the remainder when 137 is divided by 4. 1 What is the remainder when 3778 is divided by 70? 68 What is the remainder when 2546 is divided by 52? 50 Calculate the remainder when 254 is divided by 29. 22 Calculate the remainder when 7210 is divided by 16. 10 Calculate the remainder when 76 is divided by 44. 32 What is the remainder when 406 is divided by 12? 10 Calculate the remainder when 394 is divided by 44. 42 What is the remainder when 458 is divided by 115? 113 What is the remainder when 1741 is divided by 67? 66 What is the remainder when 270 is divided by 116? 38 What is the remainder when 5315 is divided by 12? 11 Calculate the remainder when 320 is divided by 19. 16 What is the remainder when 1669 is divided by 20? 9 Calculate the remainder when 346 is divided by 87. 85 What is the remainder when 370 is divided by 125? 120 What is the remainder when 14996 is divided by 120? 116 What is the remainder when 14 is divided by 9? 5 Calculate the remainder when 550 is divided by 31. 23 Calculate the remainder when 797 is divided by 299. 199 Calculate the remainder when 2616 is divided by 164. 156 Calculate the remainder when 778 is divided by 195. 193 What is the remainder when 485 is divided by 61? 58 What is the remainder when 336 is divided by 26? 24 What is the remainder when 78 is divided by 33? 12 What is the remainder when 923 is divided by 37? 35 What is the remainder when 236 is divided by 61? 53 Calculate the remainder when 738 is divided by 152. 130 Calculate the remainder when 36 is divided by 19. 17 Calculate the remainder when 29 is divided by 8. 5 Calculate the remainder when 1852 is divided by 461. 8 What is the remainder when 172 is divided by 25? 22 What is the remainder when 1525 is divided by 303? 10 What is the remainder when 3821 is divided by 25? 21 What is the remainder when 8670 is divided by 177? 174 Calculate the remainder when 77 is divided by 28. 21 Calculate the remainder when 204 is divided by 16. 12 What is the remainder when 146 is divided by 13? 3 Calculate the remainder when 346 is divided by 70. 66 Calculate the remainder when 3348 is divided by 25. 23 What is the remainder when 419 is divided by 110? 89 Calculate the remainder when 10814 is divided by 15. 14 Calculate the remainder when 1239 is divided by 10. 9 What is the remainder when 124 is divided by 21? 19 Calculate the remainder when 526 is divided by 11. 9 What is the remainder when 98 is divided by 29? 11 Calculate the remainder when 1214 is divided by 161. 87 Calculate the remainder when 87 is divided by 2. 1 What is the remainder when 80 is divided by 46? 34 Calculate the remainder when 854 is divided by 19. 18 Calculate the remainder when 336 is divided by 23. 14 What is the remainder when 1688 is divided by 422? 0 Calculate the remainder when 128 is divided by 50. 28 Calculate the remainder when 79 is divided by 58. 21 What is the remainder when 25 is divided by 13? 12 Calculate the remainder when 273 is divided by 112. 49 What is the remainder when 1859 is divided by 133? 130 What is the remainder when 125 is divided by 20? 5 Calculate the remainder when 1067 is divided by 16. 11 What is the remainder when 1125 is divided by 49? 47 What is the remainder when 2355 is divided by 18? 15 Calculate the remainder when 9 is divided by 2. 1 What is the remainder when 30 is divided by 1? 0 Calculate the remainder when 568 is divided by 63. 1 What is the remainder when 1132 is divided by 16? 12 What is the remainder when 217 is divided by 73? 71 What is the remainder when 197 is divided by 66? 65 What is the remainder when 732 is divided by 243? 3 Calculate the remainder when 519 is divided by 44. 35 What is the remainder when 628 is divided by 149? 32 Calculate the remainder when 461 is divided by 121. 98 What is the remainder when 25 is divided by 13? 12 Calculate the remainder when 228 is divided by 33. 30 What is the remainder when 240 is divided by 48? 0 What is the remainder when 94 is divided by 31? 1 What is the remainder when 4092 is divided by 178? 176 Calculate the remainder when 201 is divided by 9. 3 What is the remainder when 76 is divided by 20? 16 Calculate the remainder when 76 is divided by 42. 34 Calculate the remainder when 47 is divided by 31. 16 What is the remainder when 81 is divided by 28? 25 Calculate the remainder when 637 is divided by 107. 102 Calculate the remainder when 296 is divided by 18. 8 What is the remainder when 2596 is divided by 2594? 2 Calculate the remainder when 849 is divided by 23. 21 Calculate the remainder when 330 is divided by 57. 45 Calculate the remainder when 36 is divided by 17. 2 Calculate the remainder when 1466 is divided by 208. 10 Calculate the remainder when 1826 is divided by 49. 13 Calculate the remainder when 199 is divided by 8. 7 What is the remainder when 524 is divided by 46? 18 Calculate the remainder when 49 is divided by 27. 22 Calculate the remainder when 3531 is divided by 6. 3 What is the remainder when 359 is divided by 184? 175 What is the remainder when 150 is divided by 42? 24 What is the remainder when 1292 is divided by 303? 80 Calculate the remainder when 575 is divided by 96. 95 Calculate the remainder when 1455 is divided by 47. 45 Calculate the remainder when 205 is divided by 52. 49 What is the remainder when 2118 is divided by 304? 294 Calculate the remainder when 1297 is divided by 6. 1 What is the remainder when 1155 is divided by 19? 15 What is the remainder when 107 is divided by 51? 5 Calculate the remainder when 610 is divided by 123. 118 Calculate the remainder when 71 is divided by 23. 2 What is the remainder when 772 is divided by 5? 2 Calculate the remainder when 373 is divided by 64. 53 Calculate the remainder when 4061 is divided by 1013. 9 What is the remainder when 129 is divided by 33? 30 Calculate the remainder when 16152 is divided by 82. 80 Calculate the remainder when 400 is divided by 131. 7 What is the remainder when 153 is divided by 50? 3 Calculate the remainder when 3819 is divided by 21. 18 What is the remainder when 223 is divided by 71? 10 What is the remainder when 203 is divided by 102? 101 Calculate the remainder when 504 is divided by 39. 36 Calculate the remainder when 112 is divided by 49. 14 What is the remainder when 62 is divided by 62? 0 What is the remainder when 393 is divided by 96? 9 Calculate the remainder when 369 is divided by 10. 9 Calculate the remainder when 112 is divided by 78. 34 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
8*a - 5. Let k be o(w). Solve -h + 6 = -2*r - f, k*r + 6 = -h for h. 0 Let h = 36 + -11. Suppose 5*l = 4*l + 2. Solve -5*g = 5*i, -l*i + h = g - 6*i for g. 5 Let k be (2 - 3 - 2)*-1. Suppose 0 = 3*a - k - 3. Let v(f) = -f**3 - 8*f**2 - 9*f - 11. Let t be v(-7). Solve -1 = 2*m - b + 1, -a*m + t*b = -2 for m. -2 Let h = 14 - -16. Suppose -4*c - 5*g = -120, 3*c + h = 5*c - 5*g. Solve -i - 4*i + 4*m - c = 0, 0 = -5*i + 5*m - 25 for i. -5 Let a = 24 - 20. Suppose 2*k = a*h - k - 40, -3*h + 5 = 4*k. Solve -j + 2*o + h = 0, 7*j - 2*j - 2*o + 5 = 0 for j. -3 Let b = 41 - 36. Suppose 0 = 4*i + 19 + 1. Let c = i + 9. Solve -h = c*o, b*o + 22 = 3*h + 5 for h. 4 Suppose 4*x = 4*c - 8, 0 = -6*x + x + 2*c + 2. Suppose -x*l + 5 = -l. Solve 3*a = -2*a - q + 20, -5*a = l*q for a. 5 Let q be 26/10 + 6/15. Solve 6 = 2*k + 4*u, 3*k + q = -u - 2*u for k. -5 Suppose -2*t - 5*c - 6 = 0, -1 - 5 = 3*c. Solve 2*u = 3*u + 5*f - 3, 6 = -t*u + 2*f for u. -2 Let d be 6/(4/2) - -1. Let f(y) = -y**3 + 2*y**2 + y - 2. Let j be (-1 - (-4 + 3)) + 2. Let r be f(j). Solve -2*w + 3 = -5*i - r, d*w = -4 for i. -1 Let z = -150 + 152. Solve 7*t - 3*h - z = 2*t, -10 = 3*t + h for t. -2 Let p = 36 + -30. Solve 5*h - 3*h + 3 = 3*k, -3*k = -3*h - p for k. -1 Let j be (2/4)/((21/18)/7). Solve l - 2*l = -5*g - 26, 10 = -5*l - j*g for l. 1 Let d be 1 - (5 - 2)/(-3). Solve 4*v = -2*b - 18, 0 = -5*b + v - d*v for b. 1 Let l(a) = -a**3 + 4*a**2 + 6*a - 2. Let k be l(5). Suppose 2*w - w = k. Solve 2*o - 1 = w*n, n + 4*o = 2*n - 3 for n. -1 Let c(y) = -y**2 - 11*y + 29. Let v be c(-12). Solve h + 0*h = -f - 5, -v = 4*f + h for f. -4 Let t(j) = -j**3 - 10*j**2 - 2*j - 12. Let x be t(-10). Solve 5*a = -2*k - 15, 3*k - x*k = -a - 30 for a. -5 Let c = 14 - 2. Solve -3*w = -5*n - c, 6 = 3*w - 2*n - n for w. -1 Let v(c) = -c**2 - 4*c + 1. Let n be v(-2). Solve -2*w = -3*w - 5*p, -n*p = 0 for w. 0 Let i(t) = t**3 + 4*t**2 - 4*t. Let x(k) = k**2 + 9*k + 14. Let m be x(-6). Let n be i(m). Solve 2*y = -b + 4, 0*b = 2*y + 4*b - n for y. 0 Let i be (60/(-25))/(3/(-20)). Solve -5*y - 5*f - 25 = 0, 4 = -4*y + 2*f - i for y. -5 Suppose -19 = -8*k + 3*k + n, 4*k + 4*n + 4 = 0. Let w(x) = -x**3 + 5*x**2 - 2*x + 3. Let y be w(2). Solve j = -4*t + 6 + y, k*j + 5*t - 23 = 0 for j. 1 Suppose -4*l + 3*o + 22 = o, 3*l = -o + 9. Suppose 2*f + 2*f = 0. Solve f = 2*s + l - 8, 0 = -5*d - 2*s - 1 for d. -1 Let s be (-9 + 4)*(-2)/5. Let l be (1 + -1)/(-1) - 0. Solve s*g + 3 = 3*g - b, l = -3*g + 2*b + 8 for g. 2 Suppose 2*p = -0*p - g + 116, 5*p - 312 = 3*g. Suppose 6*q - p = 2*q. Solve 2*b = 3*b - 3*y + q, 4 = y for b. -3 Let v(q) = q**2 - 6*q + 6. Let x be v(5). Suppose -3*h + 5 = -x. Solve -2*d - 29 = -s + 6*s, 0 = -4*d + h*s + 2 for d. -2 Suppose -2*t + 2*h + 13 = -7, -h = -2*t + 23. Solve -2*f - v - 7 = -4*v, -5*f = -3*v + t for f. -2 Let b be (15/(-4))/(18/48). Let q = -7 - b. Solve -14 = v + q*t, 2*v + t + 10 = 7*v for v. 1 Let h = 100 - 71. Suppose -3*v + 38 = 2*v - 4*a, 0 = -3*v + 5*a + 28. Suppose -4 + v = y. Solve -9 = -5*k + 4*n, 3*k = -3*n + h - y for k. 5 Suppose 0 = -8*p + 10*p - 44. Solve 3*n - 21 = -5*a + 5*n, 4*a + n - p = 0 for a. 5 Suppose -49*w + 48*w + 3 = 0. Solve -2*y + 2*h = -0*h + 6, -4*y - h + w = 0 for y. 0 Let w(k) = k**2 + 4*k + 7. Let l be w(-6). Solve -l = s - 5*z, 0 = s - 0*s + z - 5 for s. 1 Let l be (1 - -2) + 18/(-6). Let o = 2 + l. Solve 4*u - 36 = -2*n - o*n, u = 3*n - 7 for n. 4 Suppose 4*d - 2*c + c - 9 = 0, 2 = -2*c. Solve 3*m + d*n + 0*n = 2, -2*m = 5*n + 17 for m. 4 Let m be (480/(-100))/((-3)/20). Solve -29 = 3*g + 4*a, -5*a - m = -7 for g. -3 Let w(r) = r**2 + 3*r + 13. Let c be w(-9). Suppose -3*i + 23 = -c. Solve -3*h - 2*j - 19 = -0*j, 4*h + i = -5*j for h. -5 Let f be 11/4 - 1/(-4). Let p(x) = 2*x**2 - 3*x - 4. Let y be p(f). Solve 4*n = 3*t - 0*n + 13, 5 = y*n for t. -3 Let q(c) = c**3 + 8*c**2 + c + 11. Let b be q(-8). Let f be -1 + (b - 0/3). Solve 3*v - 4 = -v - 5*w, f*w - 3 = -3*v for v. 1 Suppose 2*a + 4*k = -20, -3*a = a + 2*k + 10. Solve 3*c = 2*z + 15, -2*c + a = z - 3 for c. 3 Suppose 2*j - 4*j + 36 = 0. Let p be j/4 + 3/(-6). Solve -4*y + 4*q - p = 0, 0 = -2*y - 0*q + 3*q - 2 for y. -1 Let d be (1 - 1 - -1) + 0. Solve 0 = l + 2*l + p - 11, -d = -l + p for l. 3 Let v(p) = p**3 + 4*p**2 - 4*p + 6. Let i be v(-5). Solve -2 = -b + d, -d = -2*d - i for b. 1 Let t(f) = -f**3 + 16*f**2 + 4. Let s be t(16). Solve 6*r - 2*r = -5*p - s, -3*r + 12 = 0 for p. -4 Let x be -2 - -8 - 0/(-1). Let d = 8 - x. Let i = 61 - 53. Solve -5*t + v + 4*v = 0, 4*v = d*t - i for t. -4 Suppose 3*w - 66 = -3*m, 2*m - 3*w = 2*w + 37. Let i = -16 - -41. Solve -i = -5*j, -j - 1 + m = -5*y for y. -3 Suppose 0 = k - 6 + 3. Solve -17 = -2*f - k*f + p, 3*f = 2*p + 13 for f. 3 Suppose -2*s + 2*p + 12 = 0, -p = -s + 2*p + 14. Solve s*t - 7 = 4*m + t, -4*m - 17 = t for m. -3 Suppose 0 = i - 4*d - 9, 5*d = 5*i - 5 - 10. Let t(p) = 5 - i - 3 + p. Let x be t(4). Solve x*c - y - 25 = -6*y, -3*y = -c - 7 for c. 2 Suppose -11 = -3*y + 4. Solve 2*f = 2*b + 4*f, 2*b - y*f + 21 = 0 for b. -3 Suppose 0 = -6*b + 3*b + 6. Suppose b*i = i + 4. Let x = 12 + -1. Solve -3*c - 2*h = -2*c - x, i*c + 1 = h for c. 1 Suppose 2*l = -2*l. Suppose 2*f - 4*g - 10 = 0, l*f + 2*f - 5*g = 12. Solve -3*m - 1 = -m - 3*k, -4*m + 3*k = -f for m. 1 Let b = 18 - 10. Let f = b - 3. Solve 0 = -3*i + f*d - 32, -2*i + 8 = -0*i + 4*d for i. -4 Suppose -3*y = -3 - 9. Let m = 384 + -379. Solve m*r = 3*q - 0*q - 22, y = q for r. -2 Let f = -18 - -12. Let b(s) = -s**3 - 5*s**2 + 7*s + 8. Let j be b(f). Solve -2*t + 7 + 2 = 5*d, -3*t - j*d = -8 for t. 2 Let a = -20 - -30. Let o(q) = -4 + 0*q**2 - 9*q**2 + 4*q + 7 - 12*q - q**3. Let b be o(-8). Solve b*u + 9 = -3*y + 3, y + a = -5*u for u. -2 Suppose -3*m + 47 = 4*a, -a - 2*m + 34 = 2*a. Let b be 3/((-30)/(-58)) - 7/(-35). Solve 0*d + a = x + 4*d, -3*x = -3*d + b for x. 0 Let o(i) = i**2 - 6*i + 7. Let w(n) = -4*n + 1. Let g(f) = 2*f**3 - f. Let s be g(-1). Let z be w(s). Let a be o(z). Solve 5*u = 2 + 13, a*u = -5*r + 11 for r. 1 Let n = 15 + -13. Let v = 1 + n. Solve -3*k - 2*d = 11 + 3, v*d - 13 = 4*k for k. -4 Suppose -4*d + 15 = 3*o - 0*o, 5 = d + 2*o. Suppose -15 = -4*g - d. Solve 4*j - 4 = 4*w, g*j - j + 2*w = -10 for j. -2 Let y = 1 - -5. Suppose 4 + y = 2*q. Solve x = w + q, w + 9 = -2*w - 3*x for w. -4 Suppose 1 - 10 = -3*a. Solve -3*w + 4*f + 11 = -0*f, 10 = 4*w - a*f for w. 1 Let i(k) = k**2 + 12*k + 2. Suppose 5*l - 2*l + 36 = 0. Let d be i(l). Solve -3*n = u - 2, 2*u + n = 3*u + d for u. -1 Let v = 22 - 10. Solve -4*z - 4 = 5*s, -4*s + 0*z = z + v for s. -4 Let o = -22 + 22. Solve -5*m + 5 = o, -3 = -2*a + m - 2 for a. 1 Suppose 4*m + j - 5 = -1, 4*m = 2*j + 4. Suppose -5*t + 32 = -48. Suppose -4*p + t = -4. Solve -3*x = -0*x - 2*k - m, -x + 22 = -p*k for x. -3 Let s be -10*(72/(-15))/2. Solve -7*g + 3*g = 5*c + 10, -4*g + 2*c - s = 0 for g. -5 Let q(n) = 4*n - 24. Let o be q(8). Solve 4*f + 0*b = b + o, 11 = -f - 3*b for f. 1 Suppose v = 5*v - 48. Let w be -1 - (8/(-1))/1. Let n = v - w. Solve -5*i = n*a - 30, 21 = 6*a - a - 4*i for a. 5 Let n(p) = -p + 1. Let a(j) = -3*j - 3*j + 4*j + 2. Let w(o) = 2*a(o) - 5*n(o). Let b be w(6). Solve l - 4*c + 4 = 0, -b*c - 26 = 5*l - 6 for l. -4 Suppose 6*l = l + f + 16, 2*f = -3*l + 7. Suppose 0*y + 3*y + 4*z = 52, 0 = 2*z - 2. Solve -j - 1 = 2*u, -l*u + j + y = -j for u. 2 Suppose 21 = -7*f + 4*f. Let q be 15/(-4) + (-2)/8. Let t = q - f. Solve 17 = -c + 3*c - 3*w, t*c + 3*w = 3 for c. 4 Let z = 5 + -5. Suppose z = q + q - 8. Suppose -5*g = 2*a - 9, 5*g + 4*a - 4 = -1. Solve -g*c + q = -2*x - c, x = 2*c for x. -4 Suppose 8 - 53 = -5*b + 5*w, 5*b - w = 25. Suppose x + 2 = 3*n, -2*x + 4 = 5*n - b*x. Solve -4*s - 12 = n, y + 2*y + 4*s = -6 for y. 2 Let o = -1 - -2. Solve -4*i = -5*w + o, 2*w = 3*i - 0*i + 6 for i. -4 Let n = 14 - -2. Solve z + 4*p + 31 = -2*z, -4*p = n for z. -5 Let p = 0 - 3. Let f = p - -8. Solve -5*o - 30 = -5*q, 13 + 7 = -f*q - 5*o for q. 1 Let o = -6 + 6. Let m be (-1)/(2/(-10) + o). Solve 4*x - m*i = -0*i + 12, -15 = -5*x + 4*i for x. 3 Suppose 4*c + 16 = 0, x + 3*c = -3*x. Let y = 24 - 2. Solve -x*t - y = 4*z, 3*z + 26 = -5*t - z for t. -2 Let k(q) = 5*q + 2. Let c be k(1). Let r(d) = -4*d - 1. Let u be r(-1). Solve -u
{ "pile_set_name": "DM Mathematics" }
. 2*g**3 + 2*g Let r(a) = 5*a**2 - a - 2. Suppose 0 = -10*z - 11*z + 231. Let d(w) = -25*w**2 + 6*w + 10. What is z*r(v) + 2*d(v)? 5*v**2 + v - 2 Suppose -2*x + 4 = 4*u - 0, -2*u + 14 = -5*x. Let l = -1 - x. Let k(p) = -p - 6. Let c(y) = -1. Calculate l*k(v) - 4*c(v). -v - 2 Let c = -1271 - -1267. Let f(m) = -m - 2. Let l(v) = 1. Give c*l(d) - f(d). d - 2 Let d(h) = -428*h + 7. Let c(o) = -3*o + 2. Give -6*c(p) + 2*d(p). -838*p + 2 Let v(c) = 9*c. Let x(h) = -7*h - 3. Let q be (-1*(-4)/(-4))/(-1). Let l(y) = -y - 1. Let b(d) = q*x(d) - 3*l(d). Give 13*b(g) + 6*v(g). 2*g Let i(o) = -2*o - 5. Let b(t) = 9*t - 26. Determine -b(c) + 5*i(c). -19*c + 1 Suppose -d + 0 = -6. Let k(n) = 3*n + 4. Let y(h) = 7*h + 10. Let p(r) = -5*k(r) + 2*y(r). Let v(x) = x**2 - 6*x - 1. Give d*p(q) - v(q). -q**2 + 1 Let p(c) = -50*c**2 - 6. Let u(x) = -149*x**2 - 19. Give -10*p(m) + 3*u(m). 53*m**2 + 3 Suppose 2*o = -0*c + 3*c - 17, 0 = -4*c - o + 30. Let p(d) be the first derivative of 3/2*d**2 + 9*d - 1. Let v(a) = -2*a - 5. Determine c*v(t) + 4*p(t). -2*t + 1 Let b(i) = -3*i**2 + 2*i + 4. Let r = 16 - 3. Suppose -22 = -g - r. Let o(c) = 1 - g*c**2 + 8 + 7*c + 5 - 1. Determine -7*b(y) + 2*o(y). 3*y**2 - 2 Let u(w) = -w**3. Let d be 7/(-7)*(12 + -11). Let o(v) be the second derivative of v**5/20 - v**4/12 + v**2/2 - 6*v. What is d*o(n) - 4*u(n)? 3*n**3 + n**2 - 1 Suppose 3 = 3*n - 6. Let f(t) = 4*t - 3. Let x(z) = -15*z + 1. Let v(u) = 20*u. Let d(y) = 2*v(y) + 3*x(y). What is n*f(r) + 2*d(r)? 2*r - 3 Let p(j) = 71*j + 17. Let c(z) = -23*z - 6. Determine -11*c(w) - 4*p(w). -31*w - 2 Let d(s) be the first derivative of 0*s**2 + 8 + s**4 + 5*s - 5/3*s**3. Let q(r) = 2*r**3 - 2*r**2 + 2. Let v(t) = t + 2. Let o be v(3). Give o*q(j) - 2*d(j). 2*j**3 Let r(s) = -2*s**2 - 5*s - 2. Let y(t) = t + 1. Suppose 0 = -9*f + 4*f - 3*v + 342, 5*v + 143 = 2*f. Let u = -68 + f. What is u*r(a) + 5*y(a)? -2*a**2 + 3 Let n(q) = -q**2. Let t(m) = -456*m**2. What is -10*n(j) - t(j)? 466*j**2 Let m(c) = -16*c**2 - 18*c + 18. Let w(t) = -t**2 - t + 1. Suppose 30 = 7*u - 50 + 94. Let h be (24/(-7))/(4/(-42)). Calculate h*w(n) + u*m(n). -4*n**2 Let t(o) be the third derivative of o**5/10 - 7*o**4/24 + 7*o**3/6 + 21*o**2. Let k(y) = y**2 - y + 1. Give 5*k(n) - t(n). -n**2 + 2*n - 2 Let j(m) = m**2 + m. Let l(w) = -4*w**2 - 3*w - 2. Let u be 2/(-9) - 50/18. Let q be 4/(-2 - 0) - u. Let h be 1/q - (3 - 1). Calculate h*l(f) - 5*j(f). -f**2 - 2*f + 2 Let w(t) = 6*t + 3. Let x(y) = 8*y + 3. Give 3*w(o) - 2*x(o). 2*o + 3 Let n(t) = t - 2. Let o(q) = 4*q - 450. Determine 3*n(h) - o(h). -h + 444 Let z(q) = -2*q**3 + q - 1. Let x(f) = 5*f**3 - 24*f**2 - 2*f + 3. Determine 2*x(r) + 6*z(r). -2*r**3 - 48*r**2 + 2*r Let b(x) = -x**2 - x + 1. Let p(g) = 8*g**2 + 2*g - 2. Let t be (-8)/280*-10 - 32/14. Calculate t*b(z) - p(z). -6*z**2 Let d(i) = i**2 + i - 1. Let t(l) = -10*l**2 - 7*l + 7. Let u be (-8 + -1 - -7)*(2 - 9). Determine u*d(a) + 2*t(a). -6*a**2 Let d be (24/(-20))/(27/90). Let q(k) = 2*k - 2. Let u(t) = -4*t + 4. Give d*u(b) - 7*q(b). 2*b - 2 Let y(c) = 2*c**3 - 5*c**2 - 4*c - 2. Let b(k) = 0*k**2 + k**2 - k**2 - k**3 + 1023*k - 1018*k + 6*k**2 + 2. Determine -4*b(i) - 5*y(i). -6*i**3 + i**2 + 2 Let h(l) = -l. Let r(o) be the third derivative of 13*o**4/8 + 4*o**2 - 2*o. Give -52*h(x) - r(x). 13*x Let j(u) = 4*u**3 + 9*u**2 - 6*u - 2. Let s(o) = -9*o**3 - 19*o**2 + 13*o + 4. Give 13*j(l) + 6*s(l). -2*l**3 + 3*l**2 - 2 Let w(y) = 2*y. Let p = -343 - -350. Let n(l) = -11*l + 5. Let o(u) = u - 1. Let h(j) = n(j) + 6*o(j). Give p*w(k) + 3*h(k). -k - 3 Let m(o) = 3*o**3 - o**2 - o - 4. Let u(b) = 4*b**3 - 2*b**2 - b - 5. What is -6*m(a) + 5*u(a)? 2*a**3 - 4*a**2 + a - 1 Let y(u) = u**3 + u**2 - u - 1. Let w(p) = -2*p**3 - 3*p**2 + 4*p + 1. Let f(b) = b**2 - 32*b + 61. Let g be f(2). What is g*w(v) + 3*y(v)? v**3 + v - 2 Let f(n) = 2*n**2 - 2. Let u(l) = -13*l**2 - 3*l + 8. Determine 4*f(b) + u(b). -5*b**2 - 3*b Let p(q) = -73*q**2 - 10. Let y(n) = -7956*n**2 - 1088. Calculate -544*p(m) + 5*y(m). -68*m**2 Let y(q) = 7. Let u(j) = j - 14. Let t(w) = -3*u(w) - 5*y(w). Let l(a) = -a + 1. Give 6*l(f) - t(f). -3*f - 1 Let u(s) = -45*s**2 - 25. Let z(l) = l**2 - 6 - 10*l**2 - 2*l**2. Suppose 6*j = 9*j + i - 74, 5*j - 4*i = 129. Give j*z(p) - 6*u(p). -5*p**2 Let j(d) = d**2 - 3*d. Let b(a) = a**2. Let g = -61 - -62. Let i(m) = m. Let s(u) = g*i(u) - b(u). Determine j(y) + 3*s(y). -2*y**2 Let x be ((-96)/(-40))/((-20)/50). Let w(k) = 6*k + 3. Let d(j) = -7*j - 3. What is x*w(z) - 5*d(z)? -z - 3 Let i(g) be the second derivative of -5*g**4/24 - g**3/6 - 4*g**2 + 11*g. Let l(u) be the first derivative of i(u). Let d(z) = -z. Determine -6*d(a) + l(a). a - 1 Let h(l) = 2*l**2 + l. Let g(c) = 6*c**2 + 7*c + 2. Give g(v) - 2*h(v). 2*v**2 + 5*v + 2 Let x(g) be the third derivative of 1/8*g**4 + 0*g + 0 - 26*g**2 - 2/3*g**3. Let f(d) = d - 1. Determine -14*f(u) + 4*x(u). -2*u - 2 Let w be 3*((-1)/(-3) - 1). Let x(v) = 3*v - 7. Let s(k) = -123*k + 29. Let f(o) = -29*o + 7. Let u(y) = 17*f(y) - 4*s(y). Give w*x(b) - 5*u(b). -b - 1 Let p(t) = 2*t**2 + 6*t + 1. Let c(q) = 4*q**2 + 8*q. Let g(z) = -2*z**2 - z + 1. Let v(w) = c(w) + g(w). What is -6*p(b) + 5*v(b)? -2*b**2 - b - 1 Let i = 347 + -346. Let q(n) = -2*n**2 + 5*n. Let w(u) = u**2 - u - 1. Give i*q(o) + 3*w(o). o**2 + 2*o - 3 Let f(h) = 7*h**2 - 27. Let q(b) = -4*b**2 + 14. Calculate -3*f(y) - 7*q(y). 7*y**2 - 17 Let j = -114 + 126. Let h(d) = 10*d + 12. Let f(l) = -4*l - 5. Calculate j*f(b) + 5*h(b). 2*b Let q(v) = 16*v**2 - 42*v - 5. Let u(y) = 25*y**2 - 63*y - 8. Give 8*q(t) - 5*u(t). 3*t**2 - 21*t Let z(j) = 17*j + 4. Suppose -5*y + u - 8 = -2, 4*y = 4*u - 8. Let d be (y + 6)*9/9. Suppose -46 = d*r + 19. Let p(w) = -8*w - 2. Determine r*p(l) - 6*z(l). 2*l + 2 Suppose -30 = 3*j - 36. Let q(l) = -11 + 8*l + 0 + 2. Let n(g) = -g + 1. Calculate j*q(w) + 18*n(w). -2*w Let k(d) = 3 - 2*d + 3*d + 3*d - 1 - 6*d. Let o(n) = n - 2. Give 3*k(r) + 4*o(r). -2*r - 2 Let k(x) = -x**2 - 5*x - 72. Let q(u) = -u**2 - 6*u - 70. Determine 6*k(y) - 5*q(y). -y**2 - 82 Let f(s) = -17*s**3 - 9*s + 9. Let u(m) = -m**3 + 8 - 5 - 3*m**3 - 2*m - 1. Suppose 2*d - 4*d + 10 = 0. Suppose d*o + 19 = -26. Determine o*u(a) + 2*f(a). 2*a**3 Let u(w) = 2*w**3 - 2*w**2 - 2. Let y(h) = h**3 + h**2 + 1. Suppose -3*q + 3*l = 0, 2*q - 5*l + 3 = -0*q. Determine q*u(p) + 2*y(p). 4*p**3 Let j(w) = -16*w + 200. Let y be j(12). Let i(n) = 5*n**3 + 3*n**2 + 4*n - 3. Let b(g) = 14*g**3 + 8*g**2 + 11*g - 8. Calculate y*i(v) - 3*b(v). -2*v**3 - v Let j(i) = 26*i - 3. Let z(q) = 19 - 15 - 5 + 9*q. What is 3*j(h) - 8*z(h)? 6*h - 1 Let u(b) = -7*b**2 - 2*b + 3. Let r = -1496 - -1497. Let n(s) = -s**2 - s + 1. Calculate r*u(d) - 3*n(d). -4*d**2 + d Let l(g) = 4*g**3 - g + 3. Let i(j) be the second derivative of j**5/4 - j**3/6 + 2*j**2 + 7*j + 4. Determine 3*i(w) - 4*l(w). -w**3 + w Let i(l) = 140*l + 4. Let t(m) = -282*m - 9. Calculate -7*i(o) - 3*t(o). -134*o - 1 Let v(c) = 3*c**2 + 16*c. Let x(t) = -9*t**2 - 47*t. Determine 17*v(p) + 6*x(p). -3*p**2 - 10*p Let v(b) be the first derivative of -b**2 + 477. Let a(d) = -2*d. Calculate 6*a(c) - 5*v(c). -2*c Let l(r) = r**2 - 27*r - 2. Let b(k) = -k**3 + 29*k + 3. Determine 2*b(n) + 3*l(n). -2*n**3 + 3*n**2 - 23*n Suppose 2*k - 75 = -13*k. Let w(c) be the third derivative of c**4/6 - 16*c**2. Let h(o) = 7*o. Calculate k*w(i) - 2*h(i). 6*i Let n(s) be the first derivative of 15*s**2/2 + 16*s + 116. Let l(g) be the first derivative of 3*g**2/2 + 3*g + 3. Give 11*l(d) - 2*n(d). 3*d + 1 Let n = 8 + -14. Let t = -11 - n. Let o(y) = 11*y - 8. Let d(m) = 7*m - 5. Suppose 12*q - 7*q - 40 = 0. Give q*d(u) + t*o(u). u Suppose -4*l - 50 = -18. Let a(w) = -2*w**3 + 8*w**2 - 8*w + 8. Let t(p) = -p**3 + 3*p**2 - 3*p + 3. Determine l*t(h) + 3*a(h). 2*h**3 Let o(h) = -h**3 - 6*h**2 - 4*h + 32. Let k(y) = -y**3 - y**2 - y. Give 4*k(t) - o(t). -3*t**3 + 2*t**2 - 32 Let b(q) = -38*q**3 + q**2 - 2*q + 2. Let r(t) = -189*t**3 + 6*t**2 - 11*t + 11. What is -11*b(p) + 2*r(p)? 40*p**3 + p**2 Let u(i) = i + 1. Let t(v) = -7*v + 7. What is -t(j) - 3*u(j)? 4*j - 10 Let g(t) = 4*t**3 + 3*t**2 - 5*t - 4. Let i(h) = 4*h**3 - 3 - 43*h - 44*h + 83*h + 2*h**2. Calculate -3*g(j) + 4*i(j). 4*j**3
{ "pile_set_name": "DM Mathematics" }
.75 986.684 2240+-410.2 1829.8 99+12519630 12519729 What is 0.5 minus 17.853497607? -17.353497607 -12.774 + -154.1693 -166.9433 Work out -40206630 + -22. -40206652 What is -926 take away 0.167? -926.167 -6168381 + -2355 -6170736 What is 0 minus -419901710? 419901710 What is the difference between 62.49788 and -8? 70.49788 What is 232084 - -1.2305? 232085.2305 Calculate 64.017 + -0.1188. 63.8982 What is 2.029 + -857.9? -855.871 What is the distance between 235124 and 7? 235117 0.1075685 - 95 -94.8924315 What is -4472.43 less than 10773? 15245.43 What is 116900 - -45478? 162378 -1321807 + -3022 -1324829 Put together 0.20117516434 and -0.3. -0.09882483566 What is -0.05 take away -6327715? 6327714.95 Work out 5 - -74.86137. 79.86137 Add -73.90137642 and -0.5. -74.40137642 Sum -95 and 1110589. 1110494 What is 216169020 less than 0.134? -216169019.866 What is 0.03 less than 200975802.84? 200975802.81 What is -4255922714 minus 0.1? -4255922714.1 Subtract 5 from 1488233.9876. 1488228.9876 Calculate 64057191 - -1. 64057192 Work out -0.6 - -1769912007. 1769912006.4 What is the difference between 4.52 and -0.0711886? 4.5911886 Calculate 0 + 2380734. 2380734 What is 3.52 + -18.5743? -15.0543 What is 1.89 less than 15917.647? 15915.757 Sum 18640870272 and 0.8. 18640870272.8 Calculate 7 - 9605303713. -9605303706 What is the distance between -142418816 and -3? 142418813 What is -4 plus -154.58897425? -158.58897425 Add together -0.0620053 and -0.113. -0.1750053 Total of 108293694 and -0.5. 108293693.5 Total of -0.05280847 and -0.38. -0.43280847 Put together -0.5 and -0.093938365. -0.593938365 Subtract -0.3 from -5273124906. -5273124905.7 What is 2531.89035 + 0? 2531.89035 What is 726783 minus 125? 726658 Total of 0.2 and -21448077.71. -21448077.51 Total of 119 and 864659. 864778 Put together -1628 and -48.996321. -1676.996321 Work out -5810.53 - -17.5501. -5792.9799 Calculate 520569679 + -0.1. 520569678.9 Total of 1.27841282 and 2. 3.27841282 What is -1795784.2844 take away 3? -1795787.2844 What is -1738867.2 minus -2? -1738865.2 Work out 0.0405 + -14.319. -14.2785 What is the difference between 353 and -238467? 238820 Subtract 22071273838 from 0.07. -22071273837.93 Work out 5 - -265174. 265179 Subtract -0.157 from -0.42353. -0.26653 What is the difference between 14 and -2.371225? 16.371225 Add 358 and 300065. 300423 What is -0.08 plus -61.054191? -61.134191 -1.4835605+0.27 -1.2135605 What is -4 plus 4778504? 4778500 Add 49457737 and -0.45. 49457736.55 What is -12.7 - -13764242? 13764229.3 Sum 0.119442 and -2.7. -2.580558 Put together -1735 and -19349. -21084 What is 492.2 plus 1726? 2218.2 Work out -1 - 4219363593. -4219363594 Add together 220228 and 15. 220243 -0.203 - -14801563 14801562.797 What is -312658 plus -9.054? -312667.054 Sum -0.86 and 2.9658785. 2.1058785 What is -142412967 take away 0.03? -142412967.03 What is 3109293 less than 354.9? -3108938.1 Sum 30650 and 564.85. 31214.85 Add 201988.84575 and -0.1. 201988.74575 Calculate -2123 + -144216. -146339 Calculate 272718 + -142. 272576 What is the distance between -396.58 and -0.136? 396.444 Sum -26403232 and -9.05. -26403241.05 Add -8347 and -4954. -13301 What is -137329529 less than 12? 137329541 Put together -876991 and -0.10461. -876991.10461 Total of -27495 and -0.1069. -27495.1069 Calculate 0.064 + 80444605. 80444605.064 Sum 3356 and -243.297. 3112.703 What is -15.81 minus 459518? -459533.81 What is 2786 minus 4796525? -4793739 Add together 420 and -35394. -34974 Work out -0.5 - 12417863082. -12417863082.5 Total of 189 and 76473. 76662 What is -48.84621 minus 6.753? -55.59921 Add together -10802.3056 and -3. -10805.3056 What is 0.2 less than -1481807799? -1481807799.2 Total of -3702 and -865. -4567 Work out -0.2491 + 3.318. 3.0689 Add together -56.384623042 and 5. -51.384623042 What is 2.3 + 1.4288276? 3.7288276 What is -91 plus 0.06004867? -90.93995133 Put together -0.25 and 111.0088374. 110.7588374 Calculate -1478 + -1120329.9. -1121807.9 Calculate 812 + -4512. -3700 What is -4 - 2062942? -2062946 What is -0.28 minus 505870830? -505870830.28 What is 127791.989 + -0.32? 127791.669 What is the difference between -0.5405 and -1? 0.4595 What is 0.03 take away 5849069299? -5849069298.97 What is -3 take away -4383431748? 4383431745 What is the distance between 6590 and 37449? 30859 What is 6963 - 23068? -16105 Add together -0.035 and -523.7694. -523.8044 Work out -65892.35 + 0.4. -65891.95 What is 7914888050 - 4? 7914888046 What is 0.1202 - 3082435? -3082434.8798 What is 0.3 minus -329062.152? 329062.452 Add together 91.1764553 and 6. 97.1764553 Put together 155227720 and -0.21. 155227719.79 6850641 + 55.5 6850696.5 Work out -362 - 10365. -10727 What is 0.1 less than 247971? 247970.9 What is -10.3 minus -311987? 311976.7 -0.3+0.05867504 -0.24132496 What is 8 - -2122679? 2122687 Put together -53391.34 and -1412. -54803.34 What is the difference between -9881 and -59? 9822 2488585 + 0.028 2488585.028 What is -403303914.9 + 0.5? -403303914.4 Sum -12.9 and 493471.18. 493458.28 Total of 1130 and -789.71. 340.29 What is 95.18001 minus 1? 94.18001 23+15486810 15486833 Total of 230773749 and -0.77. 230773748.23 What is -2 take away -25657485? 25657483 -1801793408 + -3 -1801793411 Subtract 17314063341 from -0.2. -17314063341.2 What is 3214 - 6867? -3653 What is -340.369444 - -2? -338.369444 Work out -4391851 - 13552. -4405403 What is the difference between -254.58 and -334.25? 79.67 Work out 8.730194 - -0.154. 8.884194 What is the difference between -399.4437 and 114? 513.4437 -19 + 1086.29494 1067.29494 Work out -2 - 7643335. -7643337 Calculate -117593 - -0.0656. -117592.9344 Subtract -0.2 from -15529079282. -15529079281.8 Add 156035 and -103768. 52267 -3 - -196153.6 196150.6 Calculate 9 + 8872029. 8872038 Put together -622746.7 and 5.6. -622741.1 -11 - -0.1145780193 -10.8854219807 -1407.5+-28.277 -1435.777 What is 3 minus -5080040169? 5080040172 Sum -4233.7912 and -0.2. -4233.9912 What is 0.43 - 2.054434? -1.624434 Total of -8817.552809 and -2. -8819.552809 Work out -30179492 - -1.79. -30179490.21 What is the difference between 342.56 and 5051.465? 4708.905 Work out -129410.5306 + -0.8. -129411.3306 9137906252 + -1 9137906251 Total of -11282.85 and 31571. 20288.15 Total of 139.15 and -40457. -40317.85 Add together -0.2 and -0.032899. -0.232899 Put together -2371635 and -3.8. -2371638.8 What is 193.83832 take away -5553? 5746.83832 Work out -91544991525 + -0.4. -91544991525.4 What is -13374478 plus -0.03? -13374478.03 What is 310 minus 148059? -147749 What is -0.3 - 5903353? -5903353.3 Put together 1 and -4520.58078. -4519.58078 Subtract -336063 from 71182. 407245 Work out -119178294.9 - -0.2. -119178294.7 Calculate 65320 - 477. 64843 Sum -0.4 and -615337484. -615337484.4 Work out -5 + -3564236942. -3564236947 Total of -4 and 789177. 789173 Work out 20078728 - 0.126. 20078727.874 7 - 20646.353 -20639.353 What is the distance between 0.2 and -1730716? 1730716.2 What is the distance between 468733 and 0.05? 468732.95 Work out 1.6 + 3246230. 3246231.6 Calculate -80858 - -92054. 11196 -0.02 - 44.3761443 -44.3961443 Add together 0.05 and -0.0251054. 0.0248946 Work out -54266483 + 3. -54266480 What is 60399670278 minus -4? 60399670282 7 - -28945.33586 28952.33586 Put together -112288 and -0.31907. -112288.31907 -3853+0.9696 -3852.0304 Subtract 1051028 from 0.004. -1051027.996 Calculate -16 - 101095661. -101095677 What is -268415 minus -381? -268034 Add together -0.003 and -18.45999. -18.46299 What is -0.0505915 less than 192.3? 192.3505915 Total of 8.58191 and 8. 16.58191 Work out -5806649242 + 0.5. -5806649241.5 Subtract -400914 from -0.346. 400913.654 Sum -165.28 and -227.6. -392.88 What is the distance between 1151.755 and 14362? 13210.245 What is -539103 - -179393? -359710 What is 34583.3 take away -122? 34705.3 What is -43539096582 plus -5? -43539096587 Calculate -286667.451 + -22. -286689.451 What is 667 minus -3239.595? 3906.595 -1 + -201034 -201035 What is 8.53 less than -1027? -1035.53 What is -32.277 minus -14? -18.277 Add together 19.609389 and 4. 23.609389 What is -773574774 less than -2? 773574772 Add -1.1 and 767925670. 767925668.9 What is 3 take away 17.779338? -14.779338 Calculate 210177 -
{ "pile_set_name": "DM Mathematics" }
4*r**2 - 5 Let w(p) be the third derivative of 13*p**4/24 - 3888*p**2. Let d(q) be the third derivative of q**4/12 + q**2. Determine w(d(a)). 26*a Let r(n) = 8*n. Let i(l) = -226 - 102 - 160*l**2 + 78 - 250*l + 810*l**2. Let p(h) = -21*h**2 + 8*h + 8. Let b(d) = -4*i(d) - 125*p(d). Determine r(b(t)). 200*t**2 Let a(p) = 37*p - 2106396. Let w(j) = -j. What is w(a(f))? -37*f + 2106396 Let z(l) = 3*l. Let j(t) = 59*t**2 + 215313*t. Calculate z(j(q)). 177*q**2 + 645939*q Let s(c) = -158 - 163 - c - 98 + 419. Let v(w) be the second derivative of -19*w**4/4 - w. Calculate s(v(r)). 57*r**2 Let f(r) = -r + 4. Let n(h) = -30*h + 60. Let q(t) = -15*f(t) + n(t). Let c(x) = x**2 - 9. Determine c(q(d)). 225*d**2 - 9 Let f(k) = -2*k**2. Let p(n) = -45*n**2 - 12*n - 3. Let x(m) = 43*m**2 + 10*m + 3. Let c(q) = -5*p(q) - 6*x(q). What is c(f(j))? -132*j**4 - 3 Let l(m) be the third derivative of -29*m**5/20 + 3*m**2. Let x(w) = -3*w**2 - 3*w. Let q(b) = 16*b**2 + 18*b. Let a(i) = q(i) + 6*x(i). Give a(l(p)). -15138*p**4 Let h(w) = 164*w - 802. Let z(b) = -b**2. What is h(z(j))? -164*j**2 - 802 Let p(z) be the third derivative of 4*z**5/15 - 7020*z**2. Let m(o) = 115*o + 2. Determine p(m(b)). 211600*b**2 + 7360*b + 64 Let m(s) = -5*s**2 - 6*s**2 + 2*s**2. Let y(k) = -749*k**2 - 49*k - 49. Let v(z) = -30*z**2 - 2*z - 2. Let h(w) = -49*v(w) + 2*y(w). Give h(m(x)). -2268*x**4 Let t(g) be the third derivative of -2*g**5/15 + 3280*g**2. Let n(h) = -3*h - 80. Calculate n(t(d)). 24*d**2 - 80 Let d(l) = -28988*l + 105. Let h(w) = 140*w**2. What is d(h(b))? -4058320*b**2 + 105 Let t(x) be the second derivative of -59*x**5/60 + 91*x**3/6 + 73*x. Let b(p) be the second derivative of t(p). Let i(f) = 2*f**2. Give b(i(o)). -236*o**2 Let d(m) = -3*m**2 - 23. Let y(h) = 3*h**2 - 2*h - 4. Let j = -509 + 513. Let x(g) = 14*g**2 - 9*g - 18. Let f(w) = j*x(w) - 18*y(w). Calculate d(f(u)). -12*u**4 - 23 Let h(f) = 12*f**2 + 3332 - 11*f**2 - 3332. Let o(p) = -19*p**2 - 3*p. What is h(o(c))? 361*c**4 + 114*c**3 + 9*c**2 Let x(v) = -4*v**2. Let i(r) = 172*r**2 + 22*r - 16. Let a(q) = -87*q**2 - 12*q + 9. Let j(d) = 11*a(d) + 6*i(d). Give j(x(c)). 1200*c**4 + 3 Let k(q) = 2*q**2. Let m(u) = -288137046*u. Give k(m(b)). 166045914555212232*b**2 Let o(d) = 58*d**2. Suppose 10*f + 318 = 3048. Let p(c) = f - 273 - c. What is o(p(u))? 58*u**2 Let h(z) = -4829*z. Let n(i) = -4*i**2 - 11*i - 11. Let b(a) = -3*a**2 - 8*a - 8. Let x(d) = -11*b(d) + 8*n(d). Give h(x(l)). -4829*l**2 Let o(w) = -968*w + 19. Let n(b) = -27*b - 1. Give o(n(v)). 26136*v + 987 Let r(w) = -13*w**2. Let z(a) = -a - 3. Let l(f) be the second derivative of 0 - 1/2*f**2 + 31*f. Let g(v) = 3*l(v) - z(v). Give g(r(x)). -13*x**2 Let n(l) = 803 - 3*l - 393 + 36*l**2 - 2*l - 400. Let g(s) = -1333*s**2 + 186*s - 372. Let z(q) = 5*g(q) + 186*n(q). Let f(y) = -2*y**2. Calculate z(f(b)). 124*b**4 Let h(y) = -72631 + 3*y + 72631. Let b(u) be the second derivative of -u**5/15 + u**2/2 + 3*u. Let r(i) be the first derivative of b(i). What is h(r(c))? -12*c**2 Let o(h) = h**2 - 3. Let c(m) = -6*m**2 - 20. Suppose 907*y - 32 = 915*y. Let f(g) = y*o(g) + c(g). Let i(l) = l. What is f(i(z))? -10*z**2 - 8 Let t(c) = -21*c + 1. Let z(a) = 6*a**2 + 2*a + 86. What is z(t(n))? 2646*n**2 - 294*n + 94 Let j(l) = -8*l - 15*l + 24*l + 209*l**2 - 436*l**2. Let n(c) = -c. Calculate j(n(b)). -227*b**2 - b Suppose p - 135 = -5*h, 0*h + 3*p + 63 = 3*h. Let b = -3 + h. Let j(d) = -d + 22*d - b*d. Let z(a) = -5*a**2. Give z(j(x)). -20*x**2 Let d(f) = -13*f. Let j(x) = -236 + 226 + 11 + 723*x. Determine j(d(i)). -9399*i + 1 Let w(o) = 364*o. Let f(j) = -j**2 - 10*j - 96. Let a(i) = 2*i**2 + 11*i + 128. Let m(y) = -3*a(y) - 4*f(y). Give m(w(n)). -264992*n**2 + 2548*n Let z be (-6)/15*35*-1. Let x(h) = -16*h - h + 8*h - z*h + 1. Let q(o) = 64*o**2 + 65*o**2 - 195*o**2 + 65*o**2. Calculate x(q(s)). 23*s**2 + 1 Let l(i) = -685*i - 357*i + 1 - 740*i - 3 + 1264*i. Let d(r) = r**2. Give l(d(p)). -518*p**2 - 2 Let z(w) = 354*w + 344*w - 696*w. Let d(l) = -l**2 - 987. What is z(d(r))? -2*r**2 - 1974 Let z(p) be the first derivative of 7*p**5/60 - 2*p**2 + 20*p - 71. Let j(c) be the second derivative of z(c). Let s(y) = 3*y. Calculate s(j(t)). 21*t**2 Let v(k) = -117*k + 4. Let d = -96 + 93. Let h(p) = -116*p + 3. Let a(y) = d*v(y) + 4*h(y). Let c(z) = 2*z. Give a(c(x)). -226*x Let l(m) be the first derivative of 2*m**3/3 + 2. Let t be 2*(-3 + 485) - -1. Let j(c) = -965 + 6*c - 8*c + t. Calculate j(l(n)). -4*n**2 Let a(j) be the second derivative of -5*j**4/12 + 3215*j. Let m(i) = -17*i**2 + 12. What is m(a(r))? -425*r**4 + 12 Let a(f) = -48*f**2 - f. Let w(n) = 4458122*n. Determine w(a(u)). -213989856*u**2 - 4458122*u Let q(k) be the first derivative of -k**2 + 2705. Let b(o) = o**2 + 616. Calculate q(b(v)). -2*v**2 - 1232 Let x(c) = -59 - 88*c**2 + 33 + 26 + 90*c**2. Let n(d) = 4193*d. Calculate x(n(u)). 35162498*u**2 Let u(a) be the third derivative of 0*a**3 + 0*a - 15*a**2 - 15/8*a**4 - 1. Let r(y) = -y**2. Give u(r(b)). 45*b**2 Let i(q) = -5*q. Let w(j) be the third derivative of j**3 + 3/40*j**5 + 0*j**4 + 0*j + 0 - 31*j**2. Let a(n) be the first derivative of w(n). Give i(a(m)). -45*m Let g(m) = -4*m**2. Let r(j) = 386217*j + 1 + 4 - 386342*j. Determine r(g(n)). 500*n**2 + 5 Let l be (2 - 2)/((-6)/(6/2)). Let m(t) = 3*t**2 - t + 247. Let p be m(l). Let n(c) = 2*c**2 + 247*c - p*c. Let v(a) = 21*a. Give v(n(d)). 42*d**2 Let i(u) = 11438*u + 2. Let p(z) = -25*z**2 + 3. What is i(p(w))? -285950*w**2 + 34316 Let u(y) = y**2 + 37 - 37. Let r = 168 + -166. Let b(q) = -q - 1. Let z(s) = 19*s + 3. Let v(x) = r*z(x) + 6*b(x). Calculate u(v(j)). 1024*j**2 Let u(v) = -131*v**2. Let d(l) = 19*l - 426. Let h(f) = -37*f + 746. Let s(p) = -7*d(p) - 4*h(p). Determine s(u(z)). -1965*z**2 - 2 Let c(z) = 1631*z**2. Let u(l) = l + 56. Give u(c(x)). 1631*x**2 + 56 Let t(b) = -b**2 + 4*b. Let k(m) = -m. Let h(z) = 4*k(z) + t(z). Let j(l) = -10224*l**2 + 20110*l**2 - 10023*l**2. Give h(j(g)). -18769*g**4 Let g(r) = 30*r**2. Let d(n) be the third derivative of 0*n**4 + 3/20*n**5 + 106*n**2 + 0 + 0*n + 0*n**3. What is d(g(a))? 8100*a**4 Let o(d) = 7*d - 1. Let n(u) = 22*u - 4. Let h(g) = -2*n(g) + 10*o(g). Let l(w) = -2*w**2 - 62*w. Give l(h(c)). -1352*c**2 - 1404*c + 116 Let u(h) = 108283626*h + 1 - 108283619*h - 1. Let f(r) = 3*r**2 + 3*r**2 + r**2. What is f(u(p))? 343*p**2 Let i(p) = p. Suppose -8 - 4 = 6*s. Let f(a) = 399*a. Let u(n) = -25*n. Let w(r) = s*f(r) - 33*u(r). Calculate w(i(c)). 27*c Let n(c) = 2*c**2. Let z(v) = 17*v. Let q = -146 - -132. Let o(r) = -r. Suppose g = -g - 4. Let x(f) = g*z(f) + q*o(f). What is n(x(s))? 800*s**2 Let u be (5 + -4)/(-1)*-2. Let f(x) = 75*x**2 - 4*x + 4*x - 77*x**u. Let q(s) be the first derivative of 4*s**3 - 60. Give f(q(b)). -288*b**4 Let w(n) = 6 + 4*n - 2*n - 6. Let g(b) = 3161*b + 62. Let i be g(4). Let f(z) = 4*z - i + 12706. What is w(f(o))? 8*o Let f(a) be the first derivative of 0*a**2 + 15 + 1/3*a**4 + 0*a**3 - a. Let j(z) be the first derivative of f(z). Let k(h) = -3*h. Determine k(j(u)). -12*u**2 Let a(o) = o**2 + 4. Let z(d) = -13*d - 10. Let n(w) = -9*w - 7. Let r(b) = -7*n(b) + 5*z(b). What is a(r(x))? 4*x**2 + 4*x + 5 Let i(u) be the second derivative of u**3/3 + 3*u - 252. Let j(z) = 1038*z**2 + 1. Give j(i(m)). 4152*m**2 + 1 Let d(r) = -25*r. Let h(u) = 475*u - 184. Let q(c) = -238*c + 105. Let p(b) = 4*h(b) + 7*q(b). Give d(p(a)). -5850*a + 25 Let w(z) = 2*z**2 - 6071. Let n(h) = 9*h. Calculate w(n(j)). 162*j**2 - 6071 Let t(b) = -8*b**2. Let x(j) = 916728*j**2. Calculate x(t(k)). 58670592*k**4 Suppose 3*y + 2*b = 11, b = -3*y - 0*b + 10. Let f = 2362 + -2358. Let s(p) = y*p - 3*p - 3*p + f*p. Let l(w) = 13*w. What is l(s(z))? 13*z Let s(q) = 4*q. Let h(f) = -97*f**2 - 901*f + 63. What is h(s(n))? -1552*n**2 - 3604*n + 63 Let m(j) = j**2 + 2*j + 3. Let b(k) = -825*k**2 + 42*k + 63. Let w(s) = -b(s) + 21*m(s). Let i(r) = -4*r**2. Calculate w(i(t)). 13536*t**4 Suppose -137 = -45*m + 42*m - d, d = -2*m + 92. Let b(z) = -88*z + m*z + 42*z. Let o(u) be the first derivative of -u**2 + 1. What is b(o(v))? 2*v Let h(s) = -2*s. Let m(r) be the third derivative of 0*r**3 + 0 + 41/3*r**4 - 68*r**2 + 0*r. What is h(m(f))? -6
{ "pile_set_name": "DM Mathematics" }
-5 + 1*sqrt(2) + sqrt(2)). -12*sqrt(2) + 30 Simplify ((2 + sqrt(304) + -1 + -3)*-4)**2. -256*sqrt(19) + 4928 Simplify ((sqrt(76) + sqrt(76)*2*-1)/((sqrt(4) + sqrt(4)*-2)*-1))**2. 19 Simplify (sqrt(500) - -3*sqrt(500))*-4. -160*sqrt(5) Simplify (-1 + sqrt(75) + sqrt(75)*-3)**2. 20*sqrt(3) + 301 Simplify 0 + (sqrt(11) + (sqrt(11) - (sqrt(11) + -3 + sqrt(11))*5))**2 + 5. -240*sqrt(11) + 934 Simplify ((sqrt(5) + 1)*6 + (5 + sqrt(320) - sqrt(5)))**2. 286*sqrt(5) + 966 Simplify -4 + -1 + sqrt(612) - (sqrt(612)*-1*-1)**2. -617 + 6*sqrt(17) Simplify (-3*sqrt(1872)*1)**2. 16848 Simplify -5 + (sqrt(180)*-2)/(-3*sqrt(64)). -5 + sqrt(5)/2 Simplify -4*(sqrt(243) + sqrt(243) + (sqrt(243) - 4*sqrt(243)))**2. -972 Simplify 4 + 1 + sqrt(3) + 2 + 4. sqrt(3) + 11 Simplify ((0 + sqrt(72))*4)**2. 1152 Simplify ((sqrt(196)/sqrt(4)*-4)/(-1*sqrt(567)))**2. 112/81 Simplify 4*(sqrt(17) - 4*(sqrt(17) + sqrt(153))). -60*sqrt(17) Simplify (sqrt(2304)*3)/sqrt(12). 24*sqrt(3) Simplify (0 + (2 + sqrt(19))*-1)**2 + 2. 4*sqrt(19) + 25 Simplify sqrt(343) - 4*sqrt(343)*-2. 63*sqrt(7) Simplify (sqrt(52)/sqrt(100) - (-5*sqrt(468) + sqrt(13)))**2. 277108/25 Simplify ((1*sqrt(117)*-5 + sqrt(117))/(2*sqrt(144) + sqrt(9)))**2. 208/81 Simplify (sqrt(1100) + 1)*3. 3 + 30*sqrt(11) Simplify sqrt(2) + 1 + 2*sqrt(2) + 2 + sqrt(2) + (sqrt(2) - sqrt(8)/sqrt(4)) + -4 + -1. -2 + 4*sqrt(2) Simplify (sqrt(539) + -1 + -1 + -1)**2. -42*sqrt(11) + 548 Simplify (-4*3*sqrt(18)/(sqrt(42)/sqrt(7)))**2. 432 Simplify (sqrt(3024)*-1 - sqrt(21))/(-3*2*sqrt(3)). 13*sqrt(7)/6 Simplify sqrt(15)/sqrt(3)*-1 + sqrt(15)/sqrt(3)*1. 0 Simplify (0 + sqrt(76))*3 - (sqrt(76) + 0 + -3)**2. -85 + 18*sqrt(19) Simplify 3*1*sqrt(19)*2 + sqrt(133)/(sqrt(28)/sqrt(4)*-1 - sqrt(7)). 11*sqrt(19)/2 Simplify sqrt(76)/(sqrt(576) + sqrt(576) + sqrt(576)*1 + sqrt(576)). sqrt(19)/48 Simplify (1*sqrt(204)*-6)/(sqrt(972) - 2*sqrt(972)). 2*sqrt(17)/3 Simplify ((sqrt(187) + sqrt(187) + sqrt(187)*-2 + sqrt(187))*-4)/(3*sqrt(891)). -4*sqrt(17)/27 Simplify ((sqrt(54)/(sqrt(36)/sqrt(4)))/(sqrt(3) + (sqrt(30)/sqrt(160) - sqrt(3) - sqrt(3))))**2. 32/9 Simplify (-4*(sqrt(136) + (sqrt(136) - 1*sqrt(136))))/sqrt(8). -4*sqrt(17) Simplify -4*(-5*sqrt(114)*-2)/(sqrt(18)/sqrt(3)*5). -8*sqrt(19) Simplify (3 + (sqrt(11) - 2*sqrt(1331)))**2 + 0. -126*sqrt(11) + 4860 Simplify ((sqrt(360)*-1)/sqrt(9))/sqrt(8)*5. -5*sqrt(5) Simplify ((sqrt(25) - sqrt(25)*2*-3)/(sqrt(5) - 2*sqrt(80)))**2. 5 Simplify (sqrt(637) + 1 + 5)**2. 84*sqrt(13) + 673 Simplify (sqrt(550)*3 + sqrt(22))/sqrt(11)*3. 48*sqrt(2) Simplify -1*(sqrt(17) + 1) + 1*-2*sqrt(17). -3*sqrt(17) - 1 Simplify (sqrt(33)/sqrt(3)*1 + sqrt(11))**2 - sqrt(44)*2. -4*sqrt(11) + 44 Simplify (2*sqrt(132))/sqrt(12)*4. 8*sqrt(11) Simplify (1 + -1*(sqrt(1539) - (0 + sqrt(1539) + -4) - sqrt(1539) - sqrt(1539)))**2. -108*sqrt(19) + 6165 Simplify (2 + sqrt(147)*6)**2. 168*sqrt(3) + 5296 Simplify (sqrt(190)*2*-1)/(-2*sqrt(1000)). sqrt(19)/10 Simplify (sqrt(432) - (1 + sqrt(432))*2)*1. -12*sqrt(3) - 2 Simplify 1*(sqrt(180)*1 + sqrt(5) + 2 + sqrt(5) + -3)**2. -16*sqrt(5) + 321 Simplify (-1 + -5*sqrt(720))**2 + sqrt(720) + -2. 132*sqrt(5) + 17999 Simplify ((sqrt(5) + sqrt(35)/(3*sqrt(7)) - sqrt(5)) + 1)**2. 2*sqrt(5)/3 + 14/9 Simplify 4*(-1 + sqrt(320) + sqrt(320)). -4 + 64*sqrt(5) Simplify 6*((sqrt(7) + -1 + -3 - sqrt(56)/(sqrt(32)/sqrt(4))) + -2). -36 Simplify (2 + sqrt(17)*2 - sqrt(850)/sqrt(2))*1. -3*sqrt(17) + 2 Simplify (sqrt(112)*-3)/sqrt(4). -6*sqrt(7) Simplify (2 + -1 + sqrt(684))**2. 12*sqrt(19) + 685 Simplify (sqrt(175)*-1 + -2)*-6. 12 + 30*sqrt(7) Simplify (sqrt(5) - (sqrt(80) - sqrt(5)))*-5 + sqrt(180) + -2 + 5. 3 + 16*sqrt(5) Simplify 1*(-2*sqrt(208)*2)**2. 3328 Simplify (-2*(sqrt(288) + sqrt(288)*-2)**2 + sqrt(288) - (-2*sqrt(288)*1)**2) + -1. -1729 + 12*sqrt(2) Simplify 4 + (sqrt(2) - (sqrt(2)*-3 + 3)) + -3. -2 + 4*sqrt(2) Simplify (-5 + 2 + sqrt(1539)*1)**2. -54*sqrt(19) + 1548 Simplify ((sqrt(120)*-1)/sqrt(6))/(sqrt(4) + sqrt(28)/sqrt(252) + sqrt(4) + sqrt(4)). -6*sqrt(5)/19 Simplify sqrt(130)/(sqrt(10)*-3) - (sqrt(325)*-3)**2. -2925 - sqrt(13)/3 Simplify (sqrt(85)/(sqrt(10)/sqrt(2)) + sqrt(17) + -5)**2. -20*sqrt(17) + 93 Simplify (-1*sqrt(22)*4)/sqrt(2). -4*sqrt(11) Simplify (sqrt(32))**2 + 3 + -1 - (5 + -1*sqrt(200)). 10*sqrt(2) + 29 Simplify 1*(sqrt(700)*-2)**2 + 3. 2803 Simplify -6*(-5 + (sqrt(2448) + -1)*-2)**2. -58806 - 864*sqrt(17) Simplify 0 + sqrt(30)/(sqrt(10)*-4*-1 + sqrt(10)). sqrt(3)/5 Simplify -3 + (sqrt(2) + 2 + 4 - sqrt(2)). 3 Simplify sqrt(39)/(sqrt(363)*3). sqrt(13)/33 Simplify ((sqrt(63)/sqrt(3))/sqrt(3) - (sqrt(49)*-1 + sqrt(49))/sqrt(7))**2. 7 Simplify sqrt(684)*1 - ((sqrt(19)*1)**2 + 1). -20 + 6*sqrt(19) Simplify (1 + sqrt(112) + 0 + (sqrt(84)/sqrt(4))/sqrt(3))**2. 10*sqrt(7) + 176 Simplify 4*-5*(sqrt(425) + -4 + (sqrt(425) + 1*sqrt(425) - sqrt(425))**2 - sqrt(425)). -8420 Simplify sqrt(10)/(sqrt(5) - (sqrt(5) - sqrt(5)*1)*-2). sqrt(2) Simplify (-4*sqrt(810))/sqrt(2). -36*sqrt(5) Simplify ((sqrt(288)*-1 - sqrt(288)) + sqrt(24)/(sqrt(48)/sqrt(4)))**2. 1058 Simplify (-2 + 2*(4 + -1 + sqrt(208)))**2. 64*sqrt(13) + 848 Simplify (sqrt(128)*-2 + sqrt(128))**2 - sqrt(20)/(sqrt(50)/sqrt(5)). -sqrt(2) + 128 Simplify (-3*(sqrt(832) - (sqrt(832) + sqrt(832)*1 + 5 + sqrt(832) - sqrt(832))))**2. 720*sqrt(13) + 7713 Simplify (-3 + (sqrt(76) + (-1*sqrt(76) - sqrt(76)))*-5 + 1*sqrt(76) + 3)**2. 2736 Simplify ((-5*sqrt(98) + sqrt(98))/sqrt(2) - sqrt(49))/sqrt(7). -5*sqrt(7) Simplify ((sqrt(605) + -1)*1 + 5*-1*sqrt(605))**2. 88*sqrt(5) + 9681 Simplify -3*sqrt(76)*-2 - sqrt(76). 10*sqrt(19) Simplify (sqrt(95)/(sqrt(35)/sqrt(7) + sqrt(5)) - sqrt(19) - (1 + sqrt(1539)))*1. -19*sqrt(19)/2 - 1 Simplify (1 + sqrt(1053))*-4. -36*sqrt(13) - 4 Simplify 1 + sqrt(11) + 1 + (sqrt(396))**2. sqrt(11) + 398 Simplify 1*sqrt(98)*1. 7*sqrt(2) Simplify (sqrt(220)/sqrt(4)*4)/(-4*1*sqrt(11)). -sqrt(5) Simplify (sqrt(1300) + 0)*5. 50*sqrt(13) Simplify sqrt(153) - (3 + sqrt(153) + 0 - sqrt(153) - sqrt(153))**2. -162 + 21*sqrt(17) Simplify 2 + -2 + -1 + sqrt(325). -1 + 5*sqrt(13) Simplify (sqrt(260)/(sqrt(10)/sqrt(2)) + sqrt(52))/(5*sqrt(100)). 2*sqrt(13)/25 Simplify (4 + (sqrt(500) - (-1*sqrt(500) + sqrt(500) + sqrt(500))) + sqrt(500) + 5)**2. 180*sqrt(5) + 581 Simplify sqrt(684)*2*-5 + sqrt(684) + -1 + sqrt(684) + -1 + sqrt(684) + sqrt(684). -36*sqrt(19) - 2 Simplify 3 + 2*sqrt(108). 3 + 12*sqrt(3) Simplify 1*((sqrt(17) + sqrt(425)*-1)**2 - sqrt(17)). -sqrt(17) + 272 Simplify (sqrt(190)/(sqrt(60)/sqrt(6))*5)**2. 475 Simplify (5 + (sqrt(2) + -1 + sqrt(2))**2)*5 + sqrt(18)/(6*sqrt(27)/sqrt(3)). -119*sqrt(2)/6 + 70 Simplify (sqrt(6) + sqrt(96)*-2)/(3*sqrt(48)). -7*sqrt(2)/12 Simplify sqrt(68)/(3*(sqrt(4) - sqrt(64)) + sqrt(4)) - (2*sqrt(425) + 0 + sqrt(612))**2. -4352 - sqrt(17)/8 Simplify -5 + (2 + sqrt(847) + 5 - sqrt(847)). 2 Simplify 2 + (sqrt(448) - (sqrt(448) - ((sqrt(448)*-2)**2 - sqrt(448)))*1)*-3. -5374 + 24*sqrt(7) Simplify (3 + (sqrt(228) - (sqrt(228) + sqrt(228) + (sqrt(228) - (sqrt(228) + sqrt(228)*2)) + sqrt(228)))/sqrt(12))**2. 9 Simplify -6*(((sqrt(77) - -1*sqrt(77))/sqrt(7) - sqrt(11))**2 - (sqrt(11) - (sqrt(11) - (sqrt(11) + (-1 + sqrt(11))**2 - sqrt(11))*1) - sqrt(11))). -18*sqrt(11) + 6 Simplify -2*sqrt(72) - (-1 + sqrt(2)*-2). -10*sqrt(2) + 1 Simplify (sqrt(1100) + sqrt(1100) + sqrt(1100)*2)**2 - (-5 + sqrt(99))**2. 30*sqrt(11) + 17476 Simplify (-5*sqrt(180)*1)**2. 4500 Simplify 2 + 2*sqrt(19) + 1. 3 + 2*sqrt(19) Simplify 1 + (-2 + -2*sqrt(242))*-6. 13 + 132*sqrt(2) Simplify (sqrt(156) - 2*sqrt(156))/sqrt(12) + (sqrt(13) - -6*(-1 + sqrt(13)) - sqrt(13))**2. -73*sqrt(13) + 504 Simplify (6*(sqrt(198) + (sqrt(198) - sqrt(198)*-4)))/sqrt(11). 108*sqrt(2) Simplify (sqrt(13) + sqrt(13) + 1 + sqrt(13))*-5 + sqrt(143)/(sqrt(11) + sqrt(11)*2 + sqrt(11)) - 3*(sqrt(637)*-2)**2. -7649 - 59*sqrt(13)/4 Simplify (sqrt(132)/(sqrt(24)/sqrt(2)) + sqrt(11))**2 + (sqrt(110) + sqrt(110) + sqrt(110)*2 + sqrt(110) - sqrt(110))/sqrt(10). 4*sqrt(11) + 44 Simplify -3 + sqrt(605) + sqrt(605) + 1 + (-3*sqrt(25)/sqrt(5))**2. 43 + 22*sqrt(5) Simplify (sqrt(153)*-1)**2 + 1*sqrt(2057). 11*sqrt(17) + 153 Simplify (1*sqrt(396) + -3)*5. -15 + 30*sqrt(11) Simplify (4*sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153)*-2 - sqrt(153))))/s
{ "pile_set_name": "DM Mathematics" }
2 - 3) + -10 - -5? 6 What is 11 + 10 + -7 - ((27 - 11) + -9)? 7 Calculate (5 - 0 - 19) + (18 - 18). -14 Calculate -7 + 1 - -10 - (0 + -4). 8 Calculate -25 + (18 - (8 - (-13 + 18))). -10 What is (-10 - (3 + 1 + -8)) + 1 + 16? 11 What is the value of 96 - 102 - (1 - 3 - -1)? -5 What is the value of -5 + (3 - 5) + (-5 - 6) + 18? 0 What is the value of -17 + 7 + (22 - (-6 + 10))? 8 Evaluate 0 + 10 - (21 - (-29 + (23 - 20))). -37 What is (5 - -7 - 1 - 29) + -2? -20 What is the value of (-7 + -2 - 0 - (-70 - -52)) + -28? -19 Calculate -4 - (11 + -21) - (6 + -2). 2 Calculate -14 - (-11 + 2) - (-1 - 28) - 6. 18 What is the value of -15 + (-58 - -61) + (0 - 15)? -27 Evaluate 55 + -63 + (3 - 2) - -7. 0 7 + (-75 + 86 - (2 - -24)) -8 8 + (4 - (1 + -5)) + -28 -12 Calculate 1 - (1 - 1 - (8 - -2)). 11 Calculate -15 + (-8 - (-16 + 12 + 4)). -23 What is 50 - (4 + 14) - 7? 25 40 + (-34 - (29 + -35)) 12 25 + (-20 + 4 - -4) 13 Calculate 0 + 6 + (-5 + -17 - -24) - -1. 9 Evaluate 5 + -22 - -15 - -15. 13 Calculate (-16 - (1 - 4)) + (115 - 127). -25 Calculate 4 - (-1 + (4 - 1)) - (43 + -33). -8 -14 - (-13 + 35 - 21) -15 -4 + 8 + -28 + 35 11 What is the value of 16 + -36 + 1 - -8? -11 What is the value of (61 - 49) + (0 - -2)? 14 -11 + 3 - -24 - -2 18 Calculate 0 + 29 + -19 + -3 + 17 + -2. 22 Evaluate -4 + -8 + 19 + 3 + -12 - -2. 0 What is the value of (-30 - -2) + (654 - 640)? -14 What is the value of (2 - 0) + -5 - (-30 - -69 - 59)? 17 What is the value of -4 + 10 - (2 + 14)? -10 What is -611 - -619 - (1 + 0 + -12)? 19 What is -28 - 3 - (-6 + (7 - (15 - 5)))? -22 What is the value of 0 + 15 - (-513 - -519)? 9 43 + 14 + -31 - (4 - -8) 14 -1 + 1 + (115 - 112) - 9 -6 Calculate (1 + -7 - (-23 - -10 - 7)) + -6. 8 34 + 4 + -9 - (5 + 3) - -4 25 Calculate -1 + 5 + 32 + -31 + -17 + 3. -9 Calculate -37 + 54 + 5 + (-7 - (-4 - -4)). 15 Evaluate -11 - ((-20 - -13) + 7 + -3). -8 What is the value of (-30 - -4) + 13 + (2 - (-1 + -1))? -9 Calculate 105 + -106 + (0 - (2 + -11)). 8 (-31 + (17 - 19) - -16) + (3 - 1) -15 (-23 + -4 - -31) + -13 -9 Evaluate -2 + 2 + -7 + (-29 - -46 - 26). -16 What is the value of 22 + -9 - 30 - (-2 + -1 + 6)? -20 13 + -1 + (-33 - -27) - (0 + 2) 4 Evaluate (-20 - 5) + 25 + 13. 13 Evaluate (50 - 15) + -20 + -13. 2 What is 412 - 430 - (-1 + -10)? -7 (2 - -2) + -1 + -81 + 84 6 -3 + 4 - (7 - (-1 + (3 - 8))) -12 What is 16 + 12 + -34 - (8 + 23)? -37 What is 42 - (0 - -24 - (-144 + 152))? 26 What is the value of 372 + -384 - (-33 - 0)? 21 What is (2 - -13) + (-2 - 3 - -2) + -3? 9 What is 1 + -26 - -3 - (-72 + 66)? -16 What is the value of 43 + -7 - 8 - 21? 7 Calculate -2 - (16 - 14) - 10. -14 What is (-2 - (-9 - 0)) + (-3 + 9 - 2)? 11 27 + -4 + 0 + 6 + -13 16 What is the value of -7 - -39 - (39 + -22)? 15 What is the value of 12 - 7 - 21 - (-1 + -7)? -8 Calculate -5 + (-7 - -15) - -2 - 1. 4 Evaluate -5 - (-4 + 4) - (-3 - 8). 6 16 + -28 + 3 - (-2 + (-3 - -4)) -8 Calculate -11 - (-7 - -5 - 6) - (-2 + 7). -8 0 + -16 - (39 - 46) -9 21 - (-4 + (13 + -18 - -10)) 20 (6 - 44) + (11 - (13 + -10)) + 1 -29 What is the value of (0 - -22) + 543 + -545? 20 What is the value of 15 - (13 - (11 + -19))? -6 What is -15 + 1 - (41 - (74 + -43))? -24 Evaluate -3 - (-2 - (-4 + 5 - 5)). -5 What is the value of (-1 + 1 - 0) + 3 + -2037 + 2027? -7 What is the value of 28 - (9 - (3 + (-12 - (-3 + -11))))? 24 Evaluate 247 + -263 + (2 - -20). 6 Evaluate -6 + 7 - (-14 + (18 - 7)). 4 6 - (-17 + (-6 - -9) + 9 - -27) -16 Evaluate -9 + -23 + 1 + 8. -23 What is the value of -10 - -11 - 10 - -19? 10 What is the value of 113 - 138 - (0 - 35)? 10 What is the value of (12 - -8) + -23 - -8? 5 Evaluate (23 - (41 + -18)) + (18 - (-3 + 2)). 19 5 + 8 + (24 - (-15 + 30)) 22 Calculate (-61 + 2 - -35) + 10. -14 Evaluate 1 + -17 - (-758 - -732). 10 Evaluate 23 - (15 + 8) - 3. -3 What is 12 + (-45 - -45) + (-9 - 1)? 2 Evaluate (-4 - (-1 + -3)) + -24 + -3 + 12. -15 Calculate 11 - (15 + 1 - (-28 + 35)). 2 7 - ((-10 + 1 - 8) + 14) 10 What is the value of -47 - -11 - (2 + (-5 - (3 - -1)))? -29 Evaluate -14 - -7 - (-2 + -2). -3 (-7 - (-1 + -7 + 0)) + -4 -3 21 + 1 + -1 - (-253 - -261) 13 (2 - 2) + -5 + -427 + 429 -3 Calculate (-4 - 0 - 10) + 8 + 11 - 18. -13 0 - 26 - (132 - 133) -25 69 + -53 - (4 - -15) -3 9 - (-3 - (-4 + -1) - (0 + 5)) 12 Evaluate 10 - ((-6 - (11 - 20)) + 8) - 32. -33 What is 10 + 2 + -4 + 18 + -29? -3 What is the value of -20 - (-5 + (-10 - 2))? -3 Calculate -8 + (5 - (42 - 22)). -23 Evaluate -19 + -5 + 10 - 4. -18 What is (7 - -1) + (25 - (-5 - -15) - 19)? 4 Calculate 12 + (-14 - (9 - 19)). 8 What is -2 - -5 - (-6 + (2 - -5 - 5))? 7 -1 - 17 - -1 - (-9 + (45 - 44)) -9 18 + -5 - (-1 + 8 + -2) 8 (-18 - (9 + -10 - 4)) + -2 -15 What is 10 + (0 - -1 - 14)? -3 What is the value of 18 + -12 + -11 - 21? -26 What is the value of -1 + -21 + -6 + 5 + -1 - -4? -20 What is the value of 3 - (4 - (-1 - -2)) - 0? 0 What is 7 + -3 + 4 + -2 + 3? 9 -7 + (0 - -4 - (-25 + 12 - -20)) -10 (3 - (-17 + 26)) + (12 + 2 - 1) 7 What is 17 - (-30 - -23) - 47? -23 Evaluate 3 - (42 + 5 + -31). -13 Evaluate 0 + -8 - (-331 - -318) - -5. 10 (-2 + 7 - -8) + 4 + (-2 - -2) 17 What is the value of -46 + -1 - (542 - 565)? -24 Calculate (2 - 2 - -8) + -43 + 43. 8 Calculate (-5 - (-2 - (-1 - -7))) + (-15 - -1). -11 What is the value of (4 - 0) + -51 + 57? 10 -10 + -24 - -8 - -13 -13 -10 + 1 + -1 + -10 + 10 + 6 -4 3 + -2 + -6 - (464 - 455) -14 Evaluate 56 - (-38 - -45 - -38). 11 What is (13 - 1) + (44 - (10 + 37))? 9 -1 + -8 - (-10 + (9 - 10)) 2 -22 + (6 - 5) + 6 -15 What is 4 + -4 + -3 + -5? -8 Calculate (30 - (0 - -22)) + 8. 16 Evaluate 8 - (-111 + 92 + 12 + 3). 12 Evaluate 1 - (63 + -9 + -28). -25 What is the value of -7 + (6 - 4 - 10 - -14) + 5? 4 What is the value of 1 + 12 - (-3 + (-13 - -16))? 13 Evaluate -27 + 12 + (0 - -1). -14 Calculate 1 + 1 - (10 + (-1 + -11 - -11)). -7 -11 - (-17 - -11) - -17 12 Calculate 15 + (-1 - 14) + -14 + -1. -15 Calculate 1 + (-12 - -6 - 5). -10 What is 2 + (-5 - (10 + -12)) + -6 + 1? -6 Evaluate -12 + -3 + 707 + -707. -15 Calculate (-19 - -16 - 14) + (-5 - (1 + -3)). -20 Calculate 96 - 114 - (1 + 4). -23 -4 + 38 - (-8 + 30) 12 Evaluate 9 + (-1 - 27) + 9. -10 Evaluate 2 + -3 + 4 + 0 - (-43 - -39). 7 What is 2 - (5 + (5 - (-4 + 0)))? -12 (-38 - -71) + -19 + 12 26 What is 1 + 2 - (-7 - (-3 - 15 - -14))? 6 0 + 9 + (-7 - -2) + 4 - -6 14 What is the value of -1 + 16 + -2 + -5 + 4 + -2? 10 What is the value of 11 + -16 + 16 - (-6 - 0)? 17 What is the value of -4 + (24 - 3 - (7 + 3 - 4))? 11 31 + -38 - (7 - (-3 + -1)) -18 What is -76 + 55 + (-6 - (-4 - -8)) + 2? -29 Calculate 4 + -29 + 21 + -6. -10 What is 20 + (-46 - -8) - -42? 24 -7 - (-41 + -5 + -10 + 8 + 2) 39 Calculate 11 + (6 - 9) + (-9 - 13). -14 What is the value of 11 + -4 + (-31 - -12) - 4? -16 What is the value of 63 + -73 - (-6 - -2 - 21)? 15 Evaluate 0 - (-6 + 3 + 6) - -7. 4 (143 - 150) + 11 + 1 5 Evaluate 29 + -2 + -1 - (0 + 1 + 4). 21 Calculate (-26 + 35 - 37) + (0 - (-6 + -1)). -21 What is the value of 2 - (-34 - -29 - (0 + 0))? 7 Calculate (16 - -11) + -29 + (-22 - -1). -23 What is (-17 - -1) + 4 + 24? 12 What is the value of -6 - (-5 - ((2 - (-4 + 2)) + -3))? 0 What is (61 - 59) + 1 + (0 - 0) + -14? -11 Evaluate 17 + (-17 - -13) + -6. 7 -4 - -15 - -9 - 11 9 What is (2 - ((-4 - -5 - 13) + 6)) + -18? -10 -4 + -2 + -3 + (2 + -12 - -6) -13 Calculate -227 + 236 + 0 + -13. -4 36 + 38 + -61 + 13 26 Calculate -5 + (2 - (-5 + -23)) + -5 + -3. 17 -22 + (-2 - (1 - 20)) -5 What is (-15 - (-39 + 15)) + 3? 12 What is 0 - 2 - (-6 + -3 + -5 + 4)? 8 3 + 8 + (-11 - 9) + -30 -39 Evaluate (27 - (41 - 3)) + 32. 21 Evaluate -38 - (-49 + 21) - (-2 + -7). -1 What is (-4 - (-5 + 5)) + (9 - 11) - -10? 4 Calculate -13 - -17 - (-6 - -6 - -8). -4 What is the value of -15 - (4 - 2) - -23? 6 Evaluate 16 + (-6 - -3) - 4. 9 What is -1 + (15 - (12 - (-5 + 9)) - 1)? 5 Evaluate -17 - (0 + 0) - (-346 + 345). -16 Evaluate 17 - 29 - (-1 - 9) - -2. 0 What is 13 + -3 - (-27 - -41)? -4 7 + -19 + 35 + -17 6 3 + -10 + (-9 - -7) + -8 -17 Evaluate (-26 - 1) + 15 + -6 + -3. -21 Calculate 8 + 37 + -6 - 11 - (2 + -7). 33 Calculate 1 + 0 + -8 + -7 + 5. -9 4 + 23 - (22 + 9) -4 What is the value of 16 + (12 - 5) + (6 - (1 + 7))? 21 Calculate (-3 - 0) + (5 - -6). 8 What is -17 + (-1 - -2
{ "pile_set_name": "DM Mathematics" }
ve -181 + 132 = 7*v for v. -7 Solve 0 = 3*k - 286 + 316 for k. -10 Solve -c - 2 = c for c. -1 Solve -25*b + 10 = -65 for b. 3 Solve -12*m - 24 - 24 = 0 for m. -4 Solve -w - 5 = -2*w for w. 5 Solve -2234*h = -2226*h + 56 for h. -7 Solve -282 = 59*f - 12*f for f. -6 Solve 13*o + 12010 = 11945 for o. -5 Solve 24 - 39 = -5*l for l. 3 Solve 121 - 2 = 17*y for y. 7 Solve -159 = -4*h - 143 for h. 4 Solve -15*b = 26 + 34 for b. -4 Solve 4*x = -8*x - 48 for x. -4 Solve -89*q - 12 = -86*q for q. -4 Solve 7*d - 101 = -115 for d. -2 Solve b = 8*b - 35 for b. 5 Solve -76*n = -79*n + 12 for n. 4 Solve 577*h - 6 = 580*h for h. -2 Solve 0 = -2*y + 7*y + 20 for y. -4 Solve -156*p + 145*p = -22 for p. 2 Solve -9 = 3*n - 0 for n. -3 Solve 5*d = 14 + 6 for d. 4 Solve 4*b - 19 = -15 for b. 1 Solve -5*n - 4*n - 45 = 0 for n. -5 Solve -c = -10 + 7 for c. 3 Solve -3*k - 18 = -12 for k. -2 Solve -11 + 13 = 2*t for t. 1 Solve 0 = 274*j - 253*j - 126 for j. 6 Solve 74*c + 8 = 73*c for c. -8 Solve -6*v - 5 = -v for v. -1 Solve -9*l + l = 0 for l. 0 Solve -27 = 25*w + 23 for w. -2 Solve -86 = 6*w - 56 for w. -5 Solve 52 = 9*g + 4*g for g. 4 Solve 12*h + 105 - 225 = 0 for h. 10 Solve -429 = 34*g - 89 for g. -10 Solve -5*g + 5*g - 14*g = 0 for g. 0 Solve -211*r + 208*r = 15 for r. -5 Solve -2*o = -6*o + 16 for o. 4 Solve -57*n + 551 = 38 for n. 9 Solve g + 12 = -3*g for g. -3 Solve 55 = -10*f - 5 for f. -6 Solve -28*h - 184 = -44 for h. -5 Solve 209*h - 2 = 207*h for h. 1 Solve -46*k = -52*k + 30 for k. 5 Solve 9*b = -9*b + 3*b for b. 0 Solve -43*q = 5*q + 240 for q. -5 Solve 13*q - 123 = 54*q for q. -3 Solve 0 = -4*q - 193 + 169 for q. -6 Solve 8208 - 8244 = -12*d for d. 3 Solve -11*u = -2*u + 54 for u. -6 Solve 228 = -21*u - 17*u for u. -6 Solve -46*q - 79 = 13 for q. -2 Solve 107*u + 264 = 74*u for u. -8 Solve 0 = 15*q - 54*q - 78 for q. -2 Solve 5*w - 1 + 6 = 0 for w. -1 Solve 125 - 119 = -3*n for n. -2 Solve -6 = 8*q + 10 for q. -2 Solve 0 = 19*z - 20*z + 3 for z. 3 Solve 117 = j + 119 for j. -2 Solve 18*o + 41 = 5 for o. -2 Solve 2*q - 115 = -103 for q. 6 Solve 18*c + 21 = -51 for c. -4 Solve 0 = -70*l + 651 + 49 for l. 10 Solve 54 = 33*n + 153 for n. -3 Solve 389 = -45*x + 119 for x. -6 Solve -i = -9 + 12 for i. -3 Solve 0 = 6*g + 22 + 8 for g. -5 Solve 28 = 7*v - 0*v for v. 4 Solve 0 = -63*p + 18*p for p. 0 Solve -10*a - 639 = -659 for a. 2 Solve 352*h = 385*h + 264 for h. -8 Solve 220*x - 96 = 236*x for x. -6 Solve a + 9 = 11 for a. 2 Solve -111*w + 78*w = 33 for w. -1 Solve 10*v = 9*v + 4 for v. 4 Solve -p - 3*p = -7*p for p. 0 Solve -107*g + 38*g = 69 for g. -1 Solve -76 = 49*i + 218 for i. -6 Solve 0 = 2*k - 5 + 1 for k. 2 Solve 16 = 17*g - 18 for g. 2 Solve 51*u + 16*u = -469 for u. -7 Solve -16*k + 7 = 7 for k. 0 Solve -188*x + 26 = -175*x for x. 2 Solve 232 - 72 = 20*k for k. 8 Solve 8*s + 117 = 101 for s. -2 Solve -5 = 3*w - 8 for w. 1 Solve 13 - 49 = 12*t for t. -3 Solve 2 = 12*u + 74 for u. -6 Solve x - 13 + 14 = 0 for x. -1 Solve -10*x - 5 = -25 for x. 2 Solve -123*o = -115*o + 56 for o. -7 Solve 206*n = 208*n - 16 for n. 8 Solve d - 184 = 24*d for d. -8 Solve 7*j = -0 + 35 for j. 5 Solve -33*m - 39 = -6 for m. -1 Solve 0*r + 2*r = 4 for r. 2 Solve 10*g + 13*g + 3*g = 0 for g. 0 Solve 844 - 745 = -9*b for b. -11 Solve -372 = 5*i - 362 for i. -2 Solve -21*x + 11*x - 30 = 0 for x. -3 Solve 22*q + 60 = 2*q for q. -3 Solve 17*v + 44 = 10 for v. -2 Solve 44*h = h + 129 for h. 3 Solve 4*w = 13*w + 36 for w. -4 Solve 0 = -4*g + 42 - 30 for g. 3 Solve -3*h - 24 = -9 for h. -5 Solve -2*n + 8 = -4*n for n. -4 Solve 38*u + 70 + 6 = 0 for u. -2 Solve -6*l = -271 + 295 for l. -4 Solve 63 = 22*p - 29*p for p. -9 Solve 0*f = -8*f + 40 for f. 5 Solve 2*n = n - 3*n for n. 0 Solve 53 = 7*w + 39 for w. 2 Solve -36 = -18*h + 9*h for h. 4 Solve -6624*d + 6634*d - 30 = 0 for d. 3 Solve -29 = -4*o - 13 for o. 4 Solve 607*r - 617*r - 80 = 0 for r. -8 Solve 7*t + 6 = t for t. -1 Solve 96*v + 74 = 22*v for v. -1 Solve -31*w = -27*w - 8 for w. 2 Solve 15*b = -2*b - 17 for b. -1 Solve -110 + 83 = 9*s for s. -3 Solve 0 = -17*f - 4*f + 21 for f. 1 Solve -71*n = -70*n + 1 for n. -1 Solve -15*q - 9*q = -14*q for q. 0 Solve -5*i + 387 = 352 for i. 7 Solve -64 = 52*s + 12*s for s. -1 Solve -9*o = -13*o for o. 0 Solve -94*b + 89*b - 20 = 0 for b. -4 Solve -73*u = -48*u - 25 for u. 1 Solve -38 = 5*g - 18 for g. -4 Solve 84*k - 18*k = -330 for k. -5 Solve 4*k + 13 - 17 = 0 for k. 1 Solve 16*p = -3741 + 3645 for p. -6 Solve -6 = -14*g + 36 for g. 3 Solve 0*i - 7 = -i for i. 7 Solve 44*z - 31*z + 117 = 0 for z. -9 Solve -20 = 124*l - 120*l for l. -5 Solve 27*w - 141 = -33 for w. 4 Solve -145*s + 165*s = -140 for s. -7 Solve -379*g = -381*g + 2 for g. 1 Solve -39 = 9*k - 3 for k. -4 Solve 24 - 18 = -2*r for r. -3 Solve 0 = 267*f - 255*f - 72 for f. 6 Solve -40*w = -35*w - 30 for w. 6 Solve -4 = -12*q + 8*q for q. 1 Solve 0 = -15*w + 32*w - 102 for w. 6 Solve 0 = -13*m + 11*m - 2 for m. -1 Solve 0 = -w - 18 + 20 for w. 2 Solve 29*r + 5*r = -136 for r. -4 Solve 18*r = 96 - 24 for r. 4 Solve -5 = -136*h + 137*h for h. -5 Solve -35 = -10*j - 25 for j. 1 Solve 0 = -11*i - 0*i for i. 0 Solve 0 = 283*o - 257*o + 130 for o. -5 Solve 5*b + 5 = 4*b for b. -5 Solve -119*k = -113*k - 24 for k. 4 Solve 488*w = 484*w + 4 for w. 1 Solve 3*v + 18 = 12 for v. -2 Solve 11*h + 42 = -2 for h. -4 Solve 5*i = -4*i - 27 for i. -3 Solve 4 = -11*i + 12*i for i. 4 Solve 22*u + 18 = -48 for u. -3 Solve -6*n = -9*n - 3 for n. -1 Solve 269*q - 275*q = 24 for q. -4 Solve 0 = 53*p - 63*p for p. 0 Solve 10*o = 15*o + 5 for o. -1 Solve -29*n - 136 = 5*n for n. -4 Solve -66 = 5*s - 16*s for s. 6 Solve -8*r + 14*r = 30 for r. 5 Solve 124*j = 126*j + 6 for j. -3 Solve -84*w = -50 + 218 for w. -2 Solve 83 = 4*l + 99 for l. -4 Solve 4*j - 19 = -27 for j. -2 Solve -214*q - 5 = -215*q for q. 5 Solve 2*c = -3*c - 15 for c. -3 Solve -3 = 5*p - 2*p for p. -1 Solve 10*x + 15*x = 0 for x. 0 Solve -104*z - 42 = -97*z for z. -6 Solve 3*i - 156 = -183 for i. -9 Solve 0 = -19*d + 15*d + 12 for d. 3 Solve 8*v - 53 = 35 for v. 11 Solve -107 + 44 = 21*y for y. -3 Solve 34*h = 84 + 188 for h. 8 Solve 5*d + 24 = 9 for d. -3 Solve -5 - 7 = -4*d for d. 3 Solve -8 = -4*t + 8 for t. 4 Solve -21*j + 19*j - 4 = 0 for j. -2 Solve 0 = -q + 1876 - 1870 for q. 6 Solve -42 + 9 = 11*f for f. -3 Solve -2*h - 2 = 2 for h. -2 Solve -23*a = -3*a for a. 0 Solve -24*u - 8 = -16*u for u. -1 Solve -12 = -10*f + 13*f for f. -4 Solve 0 = 2*s + 5*s for s. 0 Solve 4*t + 3 = 11 for t. 2 Solve 714 = -32*x + 682 for x. -1 Solve 3*a + 156 = 144 for a. -4 Solve 3 = -5*q - 2 for q. -1 Solve 11*r - 10*r = -2 for r. -2 Solve -8*p - 17 - 7 = 0 for p. -3 Solve 67*v - 119*v = -364 for v. 7 Solve -20*k - 40 = -0*k for k. -2 Solve 21*m - 63 = -0*m for m. 3 Solve 0 = 602*k - 598*k for k. 0 Solve 33*m - 123 = -321 for m. -6 Solve -6*o = -4*o - 2 for o. 1 Solve -384 + 372 = 6*k for k. -2 Solve 0 = c + c + 6 for c. -3 Solve 14*n + 88 = 18 for n. -5 Solve 32*f = 37*f - 35 for f. 7 Solve 16 = -2*b + 14 for b. -1 Solve 0 = -52*c - 35 + 87 for c. 1 Solve -5*v - 10 = -7*v for v. 5 Solve -n = -3 + 2 for n. 1 Solve -i + 10*i - 9 = 0 for i. 1 Solve -24*z + 19*z = 32*z for z. 0 Solve 3389 - 3392 = -s for s. 3 Solve 110*b = 98*b + 12 for b. 1 Solve 92*k = 108*k for k. 0 Solve -71*h + 25 = -614 for h. 9 Solve -158*c - 45 = -167*c for c. 5 Solve 5 = -8*v + 3*v for v. -1 Solve 4*v - 20 = -12 for v. 2 Solve 75*o - 252 = 117*o for o. -6 Solve 8 - 24 = 4*u for u. -4 Solve 34 = -5*b + 9 for b. -5 Solve -8*s = -1245 + 1221 for s. 3 Solve 387 = -47*t + 105 for t. -6 Solve 43 - 8 = -7*g for g. -5 Solve -12*m - 90 = -30 for m. -5 Solve -141*o + 136*o - 10 = 0 for o. -2 Solve -12*t + 7*t - 5 = 0 for t. -1 Solve 6 = -d - 0*d for d. -6 Solve -7*c + 680 - 673 = 0 for c. 1 Solve 0 = 2*s - 124 + 130 for s. -3 Solve -25 = -5*o - 5 for o. 4 Solve -11*d = 7 - 62 for d. 5 Solve -9*k + 1 = 19 for k. -2 Solve 14*i = -25*i - 78 for i. -2 Solve b - 5*b = -20 for b. 5 Solve -34 + 32 = 2*v for v. -1 Solve 48*z - 12 = 36*z for z. 1 Solve -5 - 7 = 3*v for v. -4 Solve 2*z - 45 = -55 for z. -5 Solve 27*s + 72 = 3*s for s. -3 Solve 17*m = -0*m - 34 for m. -2 Solve o + 2635 = 2631 for o. -4 Solve 0 = -4*z + 6 + 6 for z. 3 So
{ "pile_set_name": "DM Mathematics" }
the b'th term of 563, 1124, 1685, 2246, 2807? 561*b + 2 What is the c'th term of 0, 5, 20, 51, 104, 185, 300? c**3 - c**2 + c - 1 What is the b'th term of 109, 111, 121, 145, 189, 259, 361? b**3 - 2*b**2 + b + 109 What is the u'th term of -597, -1189, -1781, -2373? -592*u - 5 What is the d'th term of 469, 471, 475, 481, 489, 499, 511? d**2 - d + 469 What is the s'th term of -6, -30, -70, -126? -8*s**2 + 2 What is the d'th term of -181, -185, -189, -193? -4*d - 177 What is the w'th term of 10, 8, 6, 4, 2? -2*w + 12 What is the w'th term of -34, -16, 14, 56, 110, 176, 254? 6*w**2 - 40 What is the m'th term of 407, 1626, 3657, 6500, 10155, 14622, 19901? 406*m**2 + m What is the r'th term of -3, 14, 33, 54? r**2 + 14*r - 18 What is the m'th term of -8, -18, -28, -38, -48? -10*m + 2 What is the n'th term of -9, -17, -31, -51, -77, -109, -147? -3*n**2 + n - 7 What is the v'th term of 46, 76, 132, 226, 370, 576, 856? 2*v**3 + v**2 + 13*v + 30 What is the h'th term of 134, 264, 394? 130*h + 4 What is the x'th term of 495, 494, 493? -x + 496 What is the a'th term of 29, 18, -9, -58, -135? -a**3 - 2*a**2 + 2*a + 30 What is the a'th term of 1, 32, 85, 172, 305, 496, 757, 1100? 2*a**3 - a**2 + 20*a - 20 What is the d'th term of 79, 325, 747, 1351, 2143, 3129, 4315? d**3 + 82*d**2 - 7*d + 3 What is the g'th term of -167, -332, -497? -165*g - 2 What is the t'th term of -2, -10, -24, -44, -70, -102, -140? -3*t**2 + t What is the c'th term of 402, 812, 1226, 1644, 2066? 2*c**2 + 404*c - 4 What is the q'th term of -11223, -11220, -11215, -11208, -11199, -11188? q**2 - 11224 What is the w'th term of -4860, -9731, -14600, -19467? w**2 - 4874*w + 13 What is the y'th term of -2, 16, 74, 196, 406, 728, 1186? 4*y**3 - 4*y**2 + 2*y - 4 What is the g'th term of 7459, 14920, 22381, 29842, 37303, 44764? 7461*g - 2 What is the q'th term of -8, 0, 18, 40, 60, 72, 70? -q**3 + 11*q**2 - 18*q What is the u'th term of -7, -28, -79, -172, -319? -2*u**3 - 3*u**2 + 2*u - 4 What is the s'th term of -3406, -3408, -3420, -3448, -3498, -3576, -3688, -3840? -s**3 + s**2 + 2*s - 3408 What is the a'th term of -2452, -4899, -7344, -9787, -12228, -14667, -17104? a**2 - 2450*a - 3 What is the l'th term of -111, -113, -117, -123, -131? -l**2 + l - 111 What is the g'th term of 6, 64, 162, 300? 20*g**2 - 2*g - 12 What is the a'th term of 117, 239, 353, 453, 533, 587, 609? -a**3 + 2*a**2 + 123*a - 7 What is the q'th term of 21, 31, 53, 93, 157, 251, 381? q**3 + 3*q + 17 What is the a'th term of -5, -25, -57, -101? -6*a**2 - 2*a + 3 What is the l'th term of 82, 87, 86, 73, 42, -13? -l**3 + 3*l**2 + 3*l + 77 What is the y'th term of -184, -181, -178? 3*y - 187 What is the g'th term of 1597, 1603, 1609, 1615, 1621, 1627? 6*g + 1591 What is the x'th term of -95, -110, -125, -140? -15*x - 80 What is the r'th term of 34, 53, 90, 151, 242, 369, 538, 755? r**3 + 3*r**2 + 3*r + 27 What is the g'th term of 18, 5, -8? -13*g + 31 What is the j'th term of -343, -350, -347, -328, -287, -218, -115? j**3 - j**2 - 11*j - 332 What is the n'th term of 19, 70, 155, 274? 17*n**2 + 2 What is the x'th term of 81, 67, 29, -45, -167, -349, -603? -2*x**3 + 83 What is the b'th term of 21, 52, 69, 66, 37, -24, -123? -b**3 - b**2 + 41*b - 18 What is the d'th term of -88, -210, -368, -568, -816? -d**3 - 12*d**2 - 79*d + 4 What is the p'th term of 50, 40, 22, -4, -38, -80? -4*p**2 + 2*p + 52 What is the o'th term of 1367, 2736, 4107, 5480, 6855, 8232? o**2 + 1366*o What is the r'th term of -66, -70, -74? -4*r - 62 What is the n'th term of -254, -253, -252? n - 255 What is the b'th term of -16, -37, -72, -121, -184? -7*b**2 - 9 What is the y'th term of 39, 88, 147, 222, 319, 444, 603, 802? y**3 - y**2 + 45*y - 6 What is the i'th term of 209, 430, 663, 914, 1189, 1494? i**3 + 214*i - 6 What is the p'th term of 138, 285, 434, 585, 738? p**2 + 144*p - 7 What is the y'th term of 24, 127, 304, 555, 880, 1279? 37*y**2 - 8*y - 5 What is the i'th term of 819, 1636, 2453? 817*i + 2 What is the a'th term of 3189, 12752, 28697, 51030, 79757, 114884? a**3 + 3185*a**2 + a + 2 What is the y'th term of -281, -280, -277, -272, -265, -256? y**2 - 2*y - 280 What is the r'th term of -262, -500, -720, -928, -1130? -r**3 + 15*r**2 - 276*r What is the x'th term of -1971, -3940, -5909, -7878? -1969*x - 2 What is the m'th term of -164, -273, -382, -491, -600? -109*m - 55 What is the f'th term of -9, -5, 3, 15? 2*f**2 - 2*f - 9 What is the m'th term of 0, -11, -48, -123, -248? -2*m**3 - m**2 + 6*m - 3 What is the t'th term of 567, 1142, 1717, 2292, 2867? 575*t - 8 What is the t'th term of -34, -13, 18, 59? 5*t**2 + 6*t - 45 What is the b'th term of 4, 3, 2? -b + 5 What is the a'th term of 98, 202, 314, 434, 562, 698? 4*a**2 + 92*a + 2 What is the x'th term of -31, -120, -255, -424, -615, -816, -1015? 2*x**3 - 35*x**2 + 2*x What is the d'th term of -63, -497, -1687, -4011, -7847, -13573, -21567, -32207? -63*d**3 + 7*d - 7 What is the u'th term of -84, -80, -76? 4*u - 88 What is the n'th term of -589, -586, -583, -580, -577? 3*n - 592 What is the c'th term of 534, 525, 502, 459, 390, 289, 150? -c**3 - c**2 + c + 535 What is the u'th term of -846, -845, -842, -837, -830, -821, -810? u**2 - 2*u - 845 What is the p'th term of -75, -300, -677, -1206, -1887, -2720, -3705? -76*p**2 + 3*p - 2 What is the m'th term of -1238, -2470, -3702, -4934, -6166? -1232*m - 6 What is the w'th term of 40818, 40816, 40814, 40812, 40810? -2*w + 40820 What is the b'th term of -555, -553, -541, -513, -463, -385, -273? b**3 - b**2 - 2*b - 553 What is the f'th term of 261, 643, 1025? 382*f - 121 What is the y'th term of -792, -804, -828, -870, -936, -1032, -1164, -1338? -y**3 - 5*y - 786 What is the y'th term of -1544, -1541, -1538, -1535? 3*y - 1547 What is the c'th term of 28, 31, 38, 49? 2*c**2 - 3*c + 29 What is the f'th term of 2230, 4466, 6704, 8944, 11186? f**2 + 2233*f - 4 What is the d'th term of 24, 18, 10, 0, -12, -26? -d**2 - 3*d + 28 What is the m'th term of 99, 145, 191, 237? 46*m + 53 What is the k'th term of 7, -3, -17, -35, -57, -83? -2*k**2 - 4*k + 13 What is the z'th term of -56, -278, -650, -1172, -1844? -75*z**2 + 3*z + 16 What is the l'th term of -68, -518, -1738, -4112, -8024? -64*l**3 - l**2 + l - 4 What is the y'th term of -81, -125, -167, -207, -245, -281? y**2 - 47*y - 35 What is the f'th term of 6637, 6640, 6637, 6622, 6589? -f**3 + 3*f**2 + f + 6634 What is the n'th term of -5, -5, 9, 43, 103, 195, 325, 499? n**3 + n**2 - 10*n + 3 What is the n'th term of -27, -41, -55, -75, -107, -157, -231, -335? -n**3 + 6*n**2 - 25*n - 7 What is the m'th term of 18, -12, -54, -114, -198, -312, -462? -m**3 - 23*m + 42 What is the u'th term of -19, -29, -45, -67? -3*u**2 - u - 15 What is the c'th term of -62, -240, -532, -944, -1482, -2152, -2960? -c**3 - 51*c**2 - 18*c + 8 What is the p'th term of 558, 555, 552, 549, 546? -3*p + 561 What is the b'th term of 125, 255, 385? 130*b - 5 What is the v'th term of -1436, -1441, -1458, -1493, -1552? -v**3 + 2*v - 1437 What is the p'th term of -8, -2, 14, 46, 100, 182, 298, 454? p**3 - p**2 + 2*p - 10 What is the b'th term of -146, -352, -614, -932, -1306? -28*b**2 - 122*b + 4 What is the l'th term of 45, 71, 123, 207, 329, 495, 711, 983? l**3 + 7*l**2 - 2*l + 39 What is the m'th term of -40, -44, -50, -58? -m**2 - m - 38 What is the u'th term of -30, -35, -38, -39, -38, -35, -30? u**2 - 8*u - 23 What is the z'th term of -1930, -1937, -1948, -1963? -2*z**2 - z - 1927 What is the g'th term of 28, 213, 712, 1681, 3276, 5653, 8968, 13377? 26*g**3 + g**2 + 1 What is the b'th term of 9, 26, 53, 96, 161, 254? b**3 - b**2 + 13*b - 4 What is the k'th term of -1848, -1851, -1856, -1863? -k**2 - 1847 What is the w'th term of -1, 23, 51, 83, 119, 159? 2*w**2 + 18*w - 21 What is the x'th term of -24, -22, -16, -6, 8, 26, 48? 2*x**2 - 4*x - 22 What is the b'th term of -595, -1196, -1799, -2404, -3011? -b**2 - 598*b + 4 What is the z'th term of 65, 76, 95, 122, 157, 200? 4*z**2 - z + 62 What is the n'th term of 29, 64, 121, 212, 349, 544? 2*n**3 - n**2 + 24*n + 4 What is the n'th term of -155, -564, -1247, -2204? -137*n**2 + 2*n - 20 What is the d'th term of -49, -49, -57, -79, -121, -189, -289? -d**3 + 2*d**2 + d - 51 What is the
{ "pile_set_name": "DM Mathematics" }
774 What comes next: -37200850, -37200851, -37200852, -37200853, -37200854? -37200855 What is the next term in -2334, -20427, -69530, -165147, -322782, -557939, -886122? -1322835 What comes next: -1078291, -2156595, -3234899? -4313203 What is next in -1002, -8178, -27722, -65820, -128658, -222422? -353298 What is the next term in -185110, -370293, -555476, -740659, -925842? -1111025 What is the next term in -61525160, -123050316, -184575472, -246100628, -307625784? -369150940 What comes next: 2600134, 2600131, 2600128, 2600125? 2600122 What is the next term in 3358, 7862, 12366, 16870, 21374? 25878 What is the next term in 98017, 98449, 98881, 99313? 99745 What is the next term in 149815, 150406, 150999, 151594, 152191, 152790? 153391 What is next in -961, -1410, -2147, -3172, -4485, -6086? -7975 What comes next: -4330, -4945, -5984, -7459, -9382, -11765, -14620, -17959? -21794 What is next in 45857, 44986, 43535, 41504, 38893, 35702, 31931? 27580 What comes next: -18314, -18274, -18238, -18200, -18154? -18094 What is next in 32271446, 32271448, 32271450, 32271452, 32271454, 32271456? 32271458 What is the next term in -43049349, -43049335, -43049321, -43049307, -43049293? -43049279 What is the next term in -724410, -724418, -724394, -724308, -724130? -723830 What is next in 190162, 190067, 189970, 189871? 189770 What is the next term in -37873, -37762, -37581, -37330, -37009? -36618 What is the next term in 4524, 18210, 41002, 72888, 113856, 163894, 222990? 291132 What comes next: 44446, 76890, 109334? 141778 What comes next: -23634, -93661, -210354, -373701, -583690, -840309? -1143546 What is the next term in 2806, 2720, 2606, 2452, 2246, 1976? 1630 What comes next: -13739809, -13739803, -13739797, -13739791, -13739785, -13739779? -13739773 What is next in -12740, -13081, -13300, -13337, -13132, -12625? -11756 What is the next term in 28013, 27336, 26207, 24626, 22593, 20108? 17171 What is next in -77468, -77647, -77842, -78059, -78304, -78583, -78902, -79267? -79684 What comes next: 4181, 9799, 19153, 32243, 49069? 69631 What is the next term in -581991, -1163899, -1745807? -2327715 What comes next: -10069657, -10069656, -10069655, -10069654, -10069653? -10069652 What is the next term in -98775, -98727, -98649, -98541, -98403? -98235 What comes next: -1028844, -2057682, -3086520, -4115358, -5144196? -6173034 What is next in -16035, -16680, -17317, -17946, -18567, -19180? -19785 What comes next: 7204, 9803, 7802, 1195, -10024, -25861, -46322, -71413? -101140 What is the next term in 3105, -10260, -32535, -63720, -103815, -152820, -210735? -277560 What is next in -10381, -40807, -91517, -162511? -253789 What is next in -3894, -15621, -35172, -62547, -97746? -140769 What comes next: 15953912, 15953911, 15953908, 15953903, 15953896, 15953887, 15953876? 15953863 What comes next: -317925, -1271893, -2861839, -5087763, -7949665, -11447545? -15581403 What is the next term in -9281, -7917, -6553, -5189? -3825 What is the next term in 10017133, 10017135, 10017137, 10017139? 10017141 What is the next term in -112575, -450266, -1013099, -1801092, -2814263, -4052630, -5516211? -7205024 What is the next term in -500755, -500793, -500831, -500869? -500907 What is the next term in 212334, 212354, 212414, 212538, 212750? 213074 What is next in -27633532, -27633539, -27633546? -27633553 What is next in 1955, 8255, 18767, 33503, 52475, 75695, 103175? 134927 What comes next: -8058, -16657, -25352, -34191, -43222, -52493? -62052 What is next in 5318, 11785, 18228, 24647, 31042, 37413, 43760? 50083 What comes next: -36, 54, 348, 960, 2004, 3594, 5844, 8868? 12780 What comes next: 319, 1514, 3511, 6310? 9911 What comes next: -312324, -312314, -312296, -312264, -312212? -312134 What is next in -58764, -58768, -58772, -58776, -58780? -58784 What is next in 647, 1049, 1131, 893? 335 What is the next term in -266079237, -532158457, -798237661, -1064316843, -1330395997, -1596475117, -1862554197, -2128633231? -2394712213 What is next in -2791, -2973, -3135, -3283, -3423? -3561 What is next in 4187, 5179, 6171, 7163? 8155 What is the next term in 381473, 763170, 1144867, 1526564, 1908261? 2289958 What is next in -139034, -134704, -130372, -126038, -121702, -117364, -113024? -108682 What is the next term in -84, -489, -1488, -3357, -6372, -10809, -16944, -25053? -35412 What is next in -139, -1186, -4069, -9712, -19039, -32974? -52441 What is the next term in -458881, -458833, -458785, -458737, -458689? -458641 What is next in 98346646, 98346640, 98346634, 98346628, 98346622, 98346616? 98346610 What is the next term in -33271, -33677, -34115, -34585? -35087 What is next in -221267, -441982, -662697, -883412, -1104127, -1324842? -1545557 What comes next: 9561, 19128, 28695, 38256, 47805, 57336, 66843, 76320? 85761 What is the next term in 6423473, 12846945, 19270417? 25693889 What is the next term in -10074088, -10074080, -10074066, -10074046, -10074020, -10073988, -10073950? -10073906 What is next in -8076, -8096, -8120, -8142, -8156? -8156 What is the next term in -21899923, -43799846, -65699769, -87599692? -109499615 What is the next term in 134301, 134375, 134461, 134565, 134693, 134851? 135045 What comes next: -3044221, -3044226, -3044231, -3044236, -3044241, -3044246? -3044251 What is the next term in -832, -2021, -4158, -7717, -13172, -20997, -31666, -45653? -63432 What is next in 626, 8654, 22042, 40796, 64922? 94426 What is next in 235896, 235860, 235762, 235572, 235260, 234796, 234150? 233292 What is next in 8439301, 8439300, 8439299, 8439298? 8439297 What is the next term in 96818, 104117, 111416, 118715, 126014, 133313? 140612 What comes next: 114355, 228675, 342979, 457267? 571539 What is next in -4740, -12755, -20770, -28785, -36800, -44815? -52830 What comes next: -175184408, -175184410, -175184412, -175184414, -175184416, -175184418? -175184420 What comes next: -37561347, -37561344, -37561341, -37561338, -37561335, -37561332? -37561329 What comes next: -10609, -10171, -9451, -8449, -7165, -5599? -3751 What is next in 46958, 186863, 420038, 746483? 1166198 What comes next: 185658, 185760, 185932, 186174, 186486? 186868 What is next in 38688549, 38688558, 38688567? 38688576 What comes next: -944, -1566, -2186, -2810, -3444, -4094? -4766 What is next in 49, -656, -2893, -7442, -15083, -26596, -42761, -64358? -92167 What comes next: -8190, -32006, -71710, -127302, -198782, -286150? -389406 What is next in 1337, 8221, 19689, 35735, 56353, 81537, 111281, 145579? 184425 What is next in -664, 2028, 9328, 23540, 46968, 81916? 130688 What is next in -88843, -87647, -86451, -85255? -84059 What comes next: -214, -3286, -11310, -26662, -51718, -88854? -140446 What is next in 1473, 3000, 4547, 6114? 7701 What comes next: 146813, 146871, 146971, 147137, 147393, 147763, 148271, 148941? 149797 What comes next: -20401, -40967, -61523, -82063, -102581, -123071, -143527, -163943? -184313 What comes next: -31096, -31137, -31266, -31525, -31956, -32601, -33502, -34701? -36240 What is the next term in -1843, -11239, -26901, -48829, -77023, -111483? -152209 What is next in 32544, 45433, 58318, 71199? 84076 What is next in -17934, -18212, -18490, -18768? -19046 What comes next: -1390, -1128, -866, -604, -342? -80 What comes next: 10261, 9081, 7901, 6721, 5541? 4361 What is the next term in 16128034, 64512118, 145152256, 258048448, 403200694, 580608994, 790273348? 1032193756 What comes next: 2370, 9739, 22122, 39603, 62266, 90195? 123474 What is next in -7718, -24753, -53146, -92897, -144006, -206473, -280298? -365481 What is next in -11056651, -44226578, -99509789, -176906284, -276416063, -398039126, -541775473? -707625104 What is next in 297249, 295510, 293771, 292032? 290293 What is next in -18041, -72244, -162621, -289178, -451921, -650856? -885989 What comes next: 393, 1776, 4191, 7728, 12477, 18528, 25971? 34896 What comes next: -4487559, -4487553, -4487537, -4487505, -4487451? -4487369 What is next in 216, 783, 1974, 4101, 7476, 12411, 19218? 28209 What comes next: 1535967, 3071920, 4607873, 6143826? 7679779 What is the next term in 9875102, 9875100, 9875098? 9875096 What is next in -10391, -25867, -41341, -56813? -72283 What is next in 816, -1605, -4026? -6447 What is th
{ "pile_set_name": "DM Mathematics" }
9 What is next in 31, 59, 87, 115, 143? 171 What comes next: 1339, 2679, 4019, 5359, 6699? 8039 What comes next: -5, 0, 9, 22, 39, 60, 85? 114 What is next in 13, 32, 53, 76, 101, 128? 157 What is next in 594, 587, 584, 591, 614, 659, 732? 839 What is next in 116, 230, 344, 458, 572? 686 What comes next: 370, 746, 1122, 1498, 1874, 2250? 2626 What is next in 178, 176, 172, 166? 158 What is next in -4, -5, -6, -7, -8, -9? -10 What is next in 31, 40, 25, -26, -125, -284, -515, -830? -1241 What is the next term in 82, 123, 164, 205, 246? 287 What comes next: -7, -2, 5, 14, 25? 38 What is next in 489, 486, 471, 438, 381, 294, 171, 6? -207 What comes next: 4, -1, -10, -17, -16, -1? 34 What is the next term in -1309, -1306, -1303, -1300? -1297 What is next in -105, -185, -319, -507, -749? -1045 What comes next: 194, 200, 210, 224? 242 What is the next term in -15, -20, -29, -42, -59, -80? -105 What comes next: 11987, 11988, 11989? 11990 What is the next term in 42, 128, 270, 474, 746, 1092, 1518, 2030? 2634 What is the next term in 5, -23, -49, -73, -95? -115 What is next in -9, -26, -43, -54, -53, -34, 9? 82 What comes next: 14, 51, 114, 203, 318, 459, 626? 819 What is the next term in 753, 748, 733, 702, 649, 568? 453 What is next in 11897, 23796, 35695, 47594, 59493, 71392? 83291 What is next in 539, 928, 1329, 1748, 2191? 2664 What comes next: 18, 34, 50, 66, 82? 98 What is the next term in -20, -84, -192, -344? -540 What is next in 17, 61, 131, 227, 349? 497 What is the next term in 4, -1, -16, -47, -100, -181? -296 What is next in -38, -84, -142, -212, -294? -388 What is next in 41, 102, 183, 284, 405, 546, 707? 888 What is the next term in 26, 62, 100, 140, 182? 226 What is next in 46, 207, 622, 1417, 2718, 4651, 7342, 10917? 15502 What is next in -931, -926, -911, -880, -827, -746, -631? -476 What is the next term in 56, 75, 108, 161, 240, 351, 500? 693 What is next in -335, -337, -343, -353? -367 What is the next term in 3, -12, -51, -126, -249, -432? -687 What comes next: 52, 61, 80, 115, 172? 257 What is the next term in -9827, -19655, -29483, -39311? -49139 What comes next: 1168, 2340, 3512, 4684, 5856, 7028? 8200 What is the next term in -6805, -13606, -20407, -27208, -34009? -40810 What is the next term in 65, 294, 687, 1250, 1989, 2910, 4019, 5322? 6825 What is next in -1124, -1142, -1174, -1226, -1304, -1414, -1562? -1754 What comes next: 49, 47, 43, 37, 29, 19, 7? -7 What comes next: -8, -21, -52, -101, -168, -253? -356 What is the next term in 190, 183, 166, 133, 78? -5 What is the next term in -118, -122, -130, -142? -158 What is next in 19, 42, 67, 94, 123? 154 What is next in -66, -133, -200, -267, -334, -401? -468 What is the next term in 123, 232, 343, 456, 571, 688, 807? 928 What is next in -4044, -4049, -4054, -4059, -4064, -4069? -4074 What comes next: -22, -70, -118, -166, -214? -262 What is the next term in -28, -116, -270, -496, -800, -1188, -1666? -2240 What is the next term in -276, -1085, -2432, -4317, -6740, -9701? -13200 What is next in -767, -3068, -6903, -12272, -19175, -27612? -37583 What is the next term in 4, 15, 32, 55? 84 What is next in 3857, 7706, 11555, 15404, 19253, 23102? 26951 What is the next term in 46, 125, 256, 439, 674? 961 What is next in -2027, -2009, -1985, -1961, -1943? -1937 What comes next: 34, 75, 120, 169, 222? 279 What is next in 4026, 4017, 4002, 3981, 3954, 3921? 3882 What comes next: -44, -63, -106, -185, -312? -499 What is next in 30, 51, 108, 219, 402? 675 What is the next term in -96, -198, -302, -408? -516 What is next in -279, -280, -279, -276? -271 What is next in -149, -147, -145, -143, -141, -139? -137 What is the next term in -40, -128, -282, -508, -812, -1200, -1678, -2252? -2928 What is the next term in -2, -3, -12, -35, -78? -147 What comes next: 7872, 7871, 7870, 7869, 7868? 7867 What is next in 4, 93, 342, 835, 1656, 2889? 4618 What comes next: 147, 233, 319, 405, 491? 577 What is next in 17, 28, 45, 68, 97, 132, 173? 220 What is next in -189, -706, -1567, -2772, -4321? -6214 What comes next: -263, -265, -267? -269 What comes next: -24, -34, -58, -102, -172, -274, -414, -598? -832 What comes next: -170, -350, -528, -704, -878, -1050, -1220? -1388 What is the next term in 7425, 7424, 7423, 7422, 7421? 7420 What is next in -53, -69, -95, -131, -177, -233, -299? -375 What comes next: -11, -15, -19, -23, -27, -31? -35 What is next in -8538, -8564, -8576, -8568, -8534? -8468 What comes next: 10555, 21110, 31665, 42220, 52775, 63330? 73885 What comes next: -189, -182, -175, -168, -161, -154? -147 What is next in 303, 552, 793, 1020, 1227, 1408, 1557? 1668 What is the next term in 1767, 1751, 1735, 1719, 1703? 1687 What comes next: 253, 269, 303, 361, 449, 573, 739, 953? 1221 What is next in -76, -85, -98, -115, -136, -161? -190 What comes next: -193, -384, -575, -766? -957 What is the next term in -1244, -10001, -33770, -80057, -156368, -270209? -429086 What is next in -842, -1683, -2524, -3365, -4206, -5047? -5888 What is the next term in 8678, 17356, 26034, 34712, 43390? 52068 What is next in -8, -3, 2, 7? 12 What comes next: -10272, -10271, -10270, -10269, -10268? -10267 What comes next: 685, 702, 731, 772? 825 What is next in 199, 281, 471, 823, 1391, 2229, 3391? 4931 What is the next term in 179, 323, 467, 611? 755 What is the next term in 34, 94, 154? 214 What is next in 106, 306, 632, 1078, 1638, 2306, 3076? 3942 What comes next: 218, 224, 234, 248, 266? 288 What comes next: 10716, 10717, 10718, 10719, 10720? 10721 What comes next: 4422, 8849, 13278, 17709, 22142, 26577? 31014 What is the next term in -8, -6, 2, 16? 36 What comes next: 133, 489, 1065, 1861, 2877? 4113 What is the next term in -237, -240, -255, -288, -345, -432, -555? -720 What is next in 44, 92, 140, 188, 236? 284 What comes next: 34, 21, -10, -65, -150? -271 What is next in 12, 39, 84, 147, 228? 327 What comes next: 330, 327, 322, 315? 306 What is the next term in -190, -181, -168, -151, -130, -105, -76? -43 What is the next term in 5198, 5193, 5188, 5183? 5178 What is the next term in -57, -236, -529, -930, -1433, -2032? -2721 What comes next: 75, 577, 1943, 4605, 8995, 15545, 24687? 36853 What is the next term in -1682, -6720, -15124, -26900, -42054? -60592 What is the next term in 8, 4, -2, -10, -20, -32, -46? -62 What is next in -107, -219, -343, -485, -651, -847, -1079? -1353 What is next in -1386, -1382, -1376, -1368? -1358 What is next in -4, -6, -8? -10 What is next in 4976, 4973, 4970? 4967 What is next in 474, 490, 524, 582, 670, 794? 960 What is next in -30803, -30807, -30813, -30821, -30831, -30843, -30857? -30873 What is next in -37, -26, -9, 14, 43, 78? 119 What comes next: 55, 67, 87, 115, 151? 195 What is next in 2205, 2197, 2177, 2139, 2077, 1985? 1857 What comes next: -171, -169, -167, -165, -163, -161? -159 What is next in -18, -19, -22, -27, -34? -43 What comes next: 16, 42, 78, 118, 156, 186, 202? 198 What is the next term in -1342, -5365, -12070, -21457, -33526, -48277, -65710? -85825 What comes next: 101, 104, 101, 86, 53, -4, -91? -214 What comes next: 126, 248, 356, 444, 506, 536? 528 What comes next: -35, -21, -7, 7, 21? 35 What comes next: -27, -39, -55, -75, -99? -127 What is the next term in -169, -417, -685, -979, -1305, -1669? -2077 What is the next term in -1042, -2055, -3052, -4027, -4974? -5887 What comes next: -726, -732, -738, -744, -750, -756? -762 What is the next term in -8, -5, 6, 31, 76, 147, 250, 391? 576 What is next in 18, 96, 242, 468, 786, 1208? 1746 What is next in -21, -41, -61? -81 What is the next term in 5, 19, 39, 65, 97? 135 What is the next term in 11, 40, 107, 230, 427, 716, 1115? 1642 What is next in 10, 36, 80, 142, 222? 320 What is next in 132, 264, 396, 528, 660? 792 What comes next: -203, -201, -201, -203, -207? -213 What is next in -13, -13, 5, 41, 95? 167 What is the next term in 211, 309, 419, 547, 699, 881? 1099 What comes next: 17, 8, -3, -16, -31? -48 What comes next: -64, -58, -48, -34, -16? 6 What is next in 24, -18, -60, -102? -144 What comes next: -45, -45, -43, -39, -33, -25? -15 What comes next: 24, 99, 238, 453, 756, 1159, 1674? 2313 What is the next term in -578, -579, -582, -587, -594, -603? -614 What is the next term in -125
{ "pile_set_name": "DM Mathematics" }
lve 2000*p**5/21 + 1836*p**4/7 + 646*p**3/3 + 74*p**2/3 - 166*p/7 - 2/21 = 0. -1, -1/250, 1/4 Suppose -5*c**2/4 + 265*c/2 - 2730 = 0. What is c? 28, 78 Factor -4*z**3 + 48*z**2 + 36*z - 880. -4*(z - 11)*(z - 5)*(z + 4) What is k in -4*k**3 - 204*k**2 - 1740*k + 23548 = 0? -29, 7 What is u in -u**2/3 + 658*u/3 - 872 = 0? 4, 654 Solve -2*i**2/13 + 7472*i/13 + 271584/13 = 0. -36, 3772 Find c, given that -c**2/3 - 14932*c - 313523/3 = 0. -44789, -7 Determine g, given that 2*g**4 - 138*g**3 + 116*g**2 + 1344*g + 1088 = 0. -2, -1, 4, 68 Find m such that 175*m**5 + 285370*m**4 + 5548695*m**3 - 1935220*m**2 - 3254620*m - 644400 = 0. -1611, -20, -2/5, -2/7, 1 Suppose 39*m**4/4 - 1773*m**3 - 273*m**2 = 0. What is m? -2/13, 0, 182 Factor 2*b**2/11 + 108*b/11 + 128. 2*(b + 22)*(b + 32)/11 Factor -i**2/3 - 109048*i/3 - 2972866576/3. -(i + 54524)**2/3 Solve 2*g**2/5 + 1138*g/5 + 6468 = 0. -539, -30 Factor -3*f**2/2 + 2127*f/2 + 35568. -3*(f - 741)*(f + 32)/2 Factor 12*c**3 - 3079548*c**2 + 3079539*c - 769884. 3*(c - 256628)*(2*c - 1)**2 Determine n, given that 2*n**4 - 94*n**3 - 1126*n**2 - 834*n + 2052 = 0. -9, -2, 1, 57 Solve p**5 - 349*p**4 + 40353*p**3 - 1518115*p**2 - 3200450*p = 0 for p. -2, 0, 115, 121 Suppose -2*o**4 + 340*o**3 - 1656*o**2 + 972*o + 2970 = 0. What is o? -1, 3, 165 Determine m, given that 4*m**3 - 856*m**2 - 3472*m - 3488 = 0. -2, 218 Factor 4*c**3 - 1316736*c**2 + 108366055956*c - 650148934104. 4*(c - 164589)**2*(c - 6) What is k in -4*k**4/7 - 64*k**3 + 3792*k**2/7 - 5760*k/7 = 0? -120, 0, 2, 6 Solve -45*p**5 + 7345*p**4 + 52280*p**3 - 73180*p**2 + 13600*p = 0 for p. -8, 0, 2/9, 1, 170 Let -2*g**2 - 2557866*g = 0. What is g? -1278933, 0 Suppose 4*b**4/5 - 23*b**3/5 - 26*b**2 + 449*b/5 + 24 = 0. Calculate b. -5, -1/4, 3, 8 Let 2*o**5/9 - 2*o**4/3 - 26*o**3/9 + 6*o**2 + 8*o = 0. Calculate o. -3, -1, 0, 3, 4 Factor -1000*x**2/7 + 5084*x/7 - 60. -4*(x - 5)*(250*x - 21)/7 Let 3*z**5/2 + 137*z**4/2 - 1639*z**3/2 + 5343*z**2/2 - 2482*z + 560 = 0. Calculate z. -56, 1/3, 1, 4, 5 Factor b**2/2 - 673510*b + 226807860050. (b - 673510)**2/2 Determine y so that -4*y**5/7 + 2412*y**4/7 - 85880*y**3/7 - 168816*y**2 - 2795616*y/7 + 4060800/7 = 0. -6, 1, 50, 564 What is p in p**2/2 - 20891*p + 436433881/2 = 0? 20891 Factor 3*i**2 + 2071122*i + 357462194907. 3*(i + 345187)**2 Let -3076*m**4 + 6144*m**3 + 21548*m**2 + 12360*m + 32 = 0. Calculate m. -1, -2/769, 4 Find d, given that 3*d**3 - 18528*d**2 - 148443*d + 166968 = 0. -9, 1, 6184 Factor -g**3/3 + 10409*g**2/3 + 3470*g. -g*(g - 10410)*(g + 1)/3 Factor c**2 - 425184*c + 45195358464. (c - 212592)**2 Factor w**2/4 - 48225*w/4 + 48223/2. (w - 48223)*(w - 2)/4 Factor u**4/3 - 7*u**3 + 104*u**2/3 - 28*u. u*(u - 14)*(u - 6)*(u - 1)/3 Find c, given that -c**2/8 - 1449*c/8 - 2169/4 = 0. -1446, -3 What is t in 5*t**4/2 - 6326*t**3 + 30327*t**2/2 + 11376*t = 0? -3/5, 0, 3, 2528 Determine m so that 4*m**3 + 20344*m**2 + 81328*m + 81312 = 0. -5082, -2 Let -28*t**5 + 2640*t**4 - 57088*t**3 - 241728*t**2 - 195136*t + 76800 = 0. What is t? -2, 2/7, 48, 50 Factor 5*x**4 - 170*x**3 + 1465*x**2 - 1300*x. 5*x*(x - 20)*(x - 13)*(x - 1) Suppose 44*r**4 - 24984*r**3 - 310784*r**2 - 55680*r = 0. Calculate r. -12, -2/11, 0, 580 Factor -4*r**3 + 61088*r**2. -4*r**2*(r - 15272) Let 3*a**3/2 - 105*a**2 - 61149*a/2 + 2637582 = 0. Calculate a. -148, 109 What is x in -3*x**2/4 + 249*x/2 + 9333/4 = 0? -17, 183 Find y such that y**2/6 - 700*y/3 + 245000/3 = 0. 700 Solve -5*o**4 + 12240*o**3 - 739025*o**2 - 1514790*o - 763520 = 0. -1, 64, 2386 Determine i, given that -5*i**5 - 3435*i**4 - 545520*i**3 + 15244640*i**2 - 105945600*i + 91249920 = 0. -356, 1, 12 Let 3*d**5 + 2370*d**4 + 62181*d**3 + 288318*d**2 - 75264*d - 1538208 = 0. What is d? -763, -21, -4, 2 Factor -j**2/3 - 41192*j - 1272585648. -(j + 61788)**2/3 Solve k**2 - 1375*k + 142606 = 0 for k. 113, 1262 What is a in -4*a**3 - 36352*a**2 - 145360*a - 145344 = 0? -9084, -2 Factor h**2/12 - 829177*h/6 + 687534497329/12. (h - 829177)**2/12 Let 4*w**4 + 932*w**3 + 3548*w**2 - 26468*w + 21984 = 0. Calculate w. -229, -8, 1, 3 Factor -3*c**3 - 11676*c**2 - 11395695*c - 67954482. -3*(c + 6)*(c + 1943)**2 Let -x**3 - 1111*x**2 + 1112*x = 0. What is x? -1112, 0, 1 Factor 2*w**2/15 - 502768*w/15 - 33518. 2*(w - 251385)*(w + 1)/15 Find k, given that 5*k**2 - 1065*k - 24570 = 0. -21, 234 Factor -l**2 - 1450*l + 90600. -(l - 60)*(l + 1510) Determine s, given that -2*s**3/3 - 28*s**2/3 + 318*s + 4620 = 0. -21, -15, 22 Factor -2*q**2/7 + 386*q/7 + 4488/7. -2*(q - 204)*(q + 11)/7 Suppose k**2 + 84*k + 395 = 0. What is k? -79, -5 Factor -3*y**3/7 + 3201*y**2/7 - 122664*y + 363888. -3*(y - 532)**2*(y - 3)/7 Factor 2*t**2 - 269080*t + 9050505800. 2*(t - 67270)**2 What is i in -i**4/8 - 73*i**3/4 + 903*i**2/8 - 341*i/2 + 76 = 0? -152, 1, 4 Factor 4*r**2 - 386356*r. 4*r*(r - 96589) Determine x, given that -x**5 - 47*x**4 + 1664*x**3 + 3688*x**2 - 6640*x - 14000 = 0. -70, -2, 2, 25 Suppose 6498*g**5 + 1033638*g**4 + 39547862*g**3 - 125128662*g**2 - 8926848*g - 157464 = 0. Calculate g. -81, -2/57, 3 Let -3*w**5/4 + 195*w**4/4 + 867*w**3/4 - 2679*w**2/4 - 216*w + 621 = 0. Calculate w. -6, -1, 1, 2, 69 Find j, given that -j**2/3 - 78*j + 40824 = 0. -486, 252 Determine m, given that -3*m**2 + 2070*m + 159600 = 0. -70, 760 Suppose 9*v**5/2 + 2409*v**4/2 + 3951*v**3/2 - 10377*v**2/2 - 390*v + 2394 = 0. Calculate v. -266, -3, -2/3, 1 Let -4*o**3 + 82768*o**2 + 248356*o - 331120 = 0. Calculate o. -4, 1, 20695 Suppose 4*y**4 + 1448*y**3 - 52*y**2 - 18776*y + 17376 = 0. Calculate y. -362, -4, 1, 3 Factor -5*x**3 + 379*x**2 + 2301*x/5 + 693/5. -(x - 77)*(5*x + 3)**2/5 Let -2*o**4/5 - 24*o**3/5 + 44*o**2/5 + 216*o/5 - 234/5 = 0. Calculate o. -13, -3, 1, 3 Let 2*a**2/9 - 111932*a/9 + 37310/3 = 0. What is a? 1, 55965 Factor -3*v**2 + 4974*v - 19848. -3*(v - 1654)*(v - 4) Find a, given that a**2 - 1057*a + 62622 = 0. 63, 994 Factor 2*f**3 - 40706*f**2 + 81404*f. 2*f*(f - 20351)*(f - 2) Find a, given that -2*a**3/11 + 1224*a**2/11 + 4920*a/11 + 448 = 0. -2, 616 Factor -14*h**2/11 - 12308*h/11 + 211456/11. -2*(h + 896)*(7*h - 118)/11 What is r in r**5/3 - 56*r**4/3 + 485*r**3/3 - 1150*r**2/3 = 0? 0, 5, 46 Determine o, given that -21*o**4 + 603*o**3 + 2883*o**2 + 2853*o + 594 = 0. -3, -1, -2/7, 33 Factor -2*s**2/15 - 1128*s/5 - 4718/3. -2*(s + 7)*(s + 1685)/15 Factor 2*h**4 - 1030*h**3 - 6252*h**2. 2*h**2*(h - 521)*(h + 6) Let 3*v**3/7 - 138*v**2 - 4947*v/7 + 1962 = 0. What is v? -7, 2, 327 Factor 2*n**3/3 - 131668*n**2/3 + 263330*n/3 - 43888. 2*(n - 65832)*(n - 1)**2/3 Find t such that 5*t**5 + 85*t**4 - 285*t**3 - 1705*t**2 + 1900*t = 0. -19, -4, 0, 1, 5 Factor -m**4 - 16*m**3 - 63*m**2. -m**2*(m + 7)*(m + 9) Let -45*p**5/2 + 183*p**4 + 3396*p**3 + 10344*p**2 + 8280*p - 1296 = 0. Calculate p. -6, -2, 2/15, 18 Determine a so that 1849*a**3/4 + 36593*a**2/2 - 30879*a/4 + 810 = 0. -40, 9/43 Solve 2*b**3 + 794*b**2 - 1596*b = 0. -399, 0, 2 Factor -2*c**2 - 1020808*c - 130256121608. -2*(c + 255202)**2 Factor -79*a**3/8 - 333*a**2/8 - 48*a - 17/2. -(a + 2)**2*(79*a + 17)/8 Let 2*s**4/7 + 10*s**3 - 76*s**2/7 - 144*s/7 = 0. Calculate s. -36, -1, 0, 2 Solve g**3/9 + 158*g**2/3 + 157*g = 0 for g. -471, -3, 0 Find d such that -1805000*d**4 + 7193400*d**3 - 7113698*d**2 - 106008*d - 392 = 0. -7/950, 2 Determine r, given that -5*r**2 + 31150*r - 48516125 = 0. 3115 Determine p so that 10*p**5 - 196*p**4 - 145310*p**3 + 232928*p**2 - 29192*p - 58240 = 0. -112, -2/5, 1, 130 Factor t**2/3 - 2004*t + 3012012. (t - 3006)**2/3 What is m in m**5/7 - 37*m**4/7 + 176*m**3/7 + 316*m**2 - 336*m = 0? -6, 0, 1, 14, 28 Find u, given that 2*u**5/5 - 66*u**4/5 - 66*u**3/5 + 2378*u**2/5 - 6768*u/5 + 5544/5 = 0. -7, 2, 3, 33 What is u in -u**2/2 + 10103*u = 0? 0, 20206 Find g such that -7*g**5/5 + 2535*g**4 - 84886*g**3/5 + 176844*g**2/5 - 93784*g/5 - 43296/5 = 0. -2/7, 2, 3, 1804 Determine c, given that 2*c**4/5 + 604*c**3/5 + 44976*c**2/5 - 19456*c - 369664/5 = 0. -152, -2, 4 Factor -2*d**3/7 + 2280*d**2/7 + 96842*d/7. -2*d*(d - 1181)*(d + 41)/7 What is l in 302*l**2/11 + 4828*l/11 - 64/11 = 0? -16, 2/151 Solve -3*s**2/7 + 18108*s/7 - 27324972/7 = 0. 3018 Let 22370*t**2/21 + 7474*t/7 + 52/21 = 0. Calculate t. -1, -26/11185 Suppose -
{ "pile_set_name": "DM Mathematics" }
= -3*q**2 - 18*q + 11. Calculate -6*n(z) + 17*p(z). z**2 + 6*z + 2 Suppose 0 = -2*i - 0*i - 32. Let d(o) = o**2 + o + 2. Let v be d(2). Let y = v + -13. Let h(m) = 10*m**2 - 16. Let l(f) = -3*f**2 + 5. What is i*l(x) + y*h(x)? -2*x**2 Let b(n) be the third derivative of -n**5/30 - n**4/12 - n**3/6 - 3*n**2 - 4*n. Let q(r) = 6*r**2 + 7*r + 3. Calculate -14*b(z) - 4*q(z). 4*z**2 + 2 Let d(p) = -p**2 + 4*p - 7. Let u(l) = 2*l**2 - 9*l + 15. Let b be ((-8)/(-7))/(10/35). Suppose 0 = -j - 0*j - 5, 50 = 5*t - b*j. Calculate t*u(o) + 13*d(o). -o**2 - 2*o - 1 Let k(x) = -15*x - 13. Let n(d) = 7*d + 6. Let l(f) = f**2 + 15*f - 6. Let j be l(-15). Suppose -27 = -0*w + 4*w - 5*o, -o = -w - 8. Calculate j*k(b) + w*n(b). -b Let d(r) = 8*r**3 - 5*r. Let c = 54 + -55. Let l(q) = q**3 - q. Give c*d(p) + 5*l(p). -3*p**3 Let q(l) = 9*l**3 + 5*l**2 - 5. Let d(y) = -4*y**3 - 2*y**2 + 3. Let j be 1*(0 - -5)*1. Determine j*d(a) + 2*q(a). -2*a**3 + 5 Let q(x) = 4*x**3 + 5*x**2 + 14*x + 6. Let b(d) = 3*d**3 + 3*d**2 + 9*d + 4. What is 8*b(j) - 5*q(j)? 4*j**3 - j**2 + 2*j + 2 Let w(p) = 13*p - 8. Let j(t) = -3*t + 2. What is 18*j(a) + 4*w(a)? -2*a + 4 Let a(z) = -4*z**2 + 4*z + 5. Let m(h) = 9*h**2 - 9*h - 9. What is -7*a(f) - 3*m(f)? f**2 - f - 8 Let o(b) = -2*b**2 - 3*b - 4. Let t(c) be the first derivative of -c**3/3 - c**2/2 - c - 5. What is -o(j) + 3*t(j)? -j**2 + 1 Suppose 4*l - 3*v - 47 = -0*l, -2*l - 4*v + 18 = 0. Suppose -f = -p - 5*f - l, 5*p - f = 29. Let m(q) = -7*q + 5. Let y(a) = 8*a - 6. Calculate p*y(d) + 6*m(d). -2*d Let y(g) = -5*g**3 + 8*g**2 + 6*g - 2. Let m be (-485)/(-45) - 11 - 52/9. Let z(s) = 3*s**3 + 2 + 3*s**3 - 5*s - 2*s**3 - 7*s**2. Give m*z(f) - 5*y(f). f**3 + 2*f**2 - 2 Let l(y) = -11*y**3 + 2*y**2 + 6 - 3 - 10 + y. Let f(c) = 6*c**3 - c**2 - c + 4. Calculate 7*f(k) + 4*l(k). -2*k**3 + k**2 - 3*k Let z(f) = -2*f**3 - 5*f**2 - 1. Let c(h) be the third derivative of h**6/30 + 3*h**5/20 + h**3/3 - 27*h**2. Determine -6*c(v) - 11*z(v). -2*v**3 + v**2 - 1 Let j(x) = -7*x**3 + 27*x**2 - 9*x. Let y(b) = -3*b**3 + 13*b**2 - 4*b. Determine -4*j(m) + 9*y(m). m**3 + 9*m**2 Let o(z) = -19*z**2 + 2*z. Let d(u) = 18*u**2 - 2*u. Determine 4*d(b) + 3*o(b). 15*b**2 - 2*b Let g(x) = 13*x**3 - 76*x**2 + 7*x + 6. Let m(w) = -4*w**3 + 25*w**2 - 2*w - 2. Give 2*g(p) + 7*m(p). -2*p**3 + 23*p**2 - 2 Let q(i) = -3*i**3 - 4*i**2 + 7*i + 5. Let c(r) = -6*r**3 - 9*r**2 + 15*r + 11. Calculate -3*c(u) + 7*q(u). -3*u**3 - u**2 + 4*u + 2 Let s(u) = 7*u - 5. Let t(x) = x - 1. Let v(n) = s(n) - 5*t(n). Let w(y) = -4*y - 1. Calculate -5*v(l) - 2*w(l). -2*l + 2 Let b(m) = 3*m**2 - 2. Let k(q) be the first derivative of -q**3/3 - 5. Let s(a) = -2*a**2 - 3*a - 2. Let l be s(-2). Calculate l*k(x) - b(x). x**2 + 2 Let x(v) = v**3 - v + 1. Let u(t) = 8*t**3 + 11*t**2 - 6*t + 6. Determine -u(q) + 6*x(q). -2*q**3 - 11*q**2 Let f(b) = 2643*b - 2640*b + 3*b**3 - 2 - 2*b**3. Let q(r) = 2*r**3 + 5*r - 3. Give 5*f(n) - 3*q(n). -n**3 - 1 Let c(z) = -9*z**2 - 12*z. Let m(f) = -f**2 - f. Suppose -23*u + 60 = -18*u. What is u*m(o) - c(o)? -3*o**2 Suppose 0 = -4*f - 5*o + 12, -4 = -2*f + 3*o - 20. Let d(j) = 3*j**3 - 2*j**2 - 4*j - 2. Let l(t) = t**3 - t**2 - t - 1. What is f*l(m) + d(m)? m**3 - 2*m Let l(w) = w**3 - 1. Suppose 0*p = 3*p - 9. Suppose 2*m + 2 = -p*t, -1 = m - 0*m + t. Let k(j) = 3*j**3 - j**2 - 3. Determine m*k(a) + 5*l(a). 2*a**3 + a**2 - 2 Let g(z) = -31*z - 196. Let d be g(-6). Let j(o) = o + 3. Let q(p) = 2*p - 5. Let v(x) = 5*x - 10. Let h(r) = -9*q(r) + 4*v(r). Give d*j(c) + 6*h(c). 2*c Let m(l) = -49*l**3 + 2*l + 2. Let p(s) = 490*s**3 - 21*s - 21. What is -21*m(d) - 2*p(d)? 49*d**3 Let o(l) = -4*l - 4. Let v(n) be the third derivative of 11*n**4/24 + 11*n**3/6 - 2*n**2. Determine 8*o(g) + 3*v(g). g + 1 Let s(b) = -4*b. Let o be s(-2). Let x be (-10)/o*(2 - 6). Let g be x + -6 + 0/1. Let q(n) = 3*n**3 - 2. Let d(i) = -i**3 + 1. Calculate g*q(m) - 2*d(m). -m**3 Let w(f) = -6 + 0*f + f + 7 + 4*f. Let b(x) = 0 + 1 + 6*x + 0. Let d(q) = -q - 10. Let u be d(-7). Calculate u*b(k) + 4*w(k). 2*k + 1 Let l(j) = -27*j + 5. Let w(a) = 80*a - 14. Give 14*l(u) + 5*w(u). 22*u Let m(n) = 16*n**3 - 11*n**2 + 5. Suppose 0 = -q + s - 0 + 4, -3*s - 8 = -q. Let g(v) = 3*v**3 - 2*v**2 + 1. Give q*m(o) - 11*g(o). -o**3 - 1 Let m(g) = 7*g**3 - 4*g - 1. Let s = 8 - 13. Let o(t) = 4*t**3 - 2*t - 1. Give s*o(q) + 3*m(q). q**3 - 2*q + 2 Let z(l) = -560*l**3 - 40*l - 40. Let u(x) = -43*x**3 - 3*x - 3. Give -40*u(w) + 3*z(w). 40*w**3 Let m(w) = -3*w + 22 - 9 - 8. Let u(r) = -r + 2. Give 3*m(x) - 8*u(x). -x - 1 Let j(r) = 10*r**3 - 3*r**2 - 3*r - 1. Let t be j(-1). Let g(p) be the first derivative of 5*p**4/2 + 21*p + 2. Let q(v) = 2*v**3 + 4. Give t*q(m) + 2*g(m). -2*m**3 - 2 Let r(u) = -3*u - 2. Let d = -61 - -60. Let c(l) = 4*l - 2 + 1 - 5*l. Determine d*r(s) + 2*c(s). s Let d(g) = 2*g - 6. Suppose 5*v = 10*v. Let n(j) = -2 + v + 1. Determine -d(p) + 5*n(p). -2*p + 1 Let n be (-4 + -2 + 0)*1. Let a(d) = 7*d. Let l(f) = -15*f. Determine n*l(o) - 13*a(o). -o Let a(q) = 5*q**3 + 5*q**2 + 3*q + 3. Let b(i) = i**3 + i**2 + i + 1. Let u(d) = d - 5. Let y be u(6). Determine y*a(z) - 3*b(z). 2*z**3 + 2*z**2 Let z(v) = -v**2 + v. Let o(t) = -66*t**2 + 55*t. What is o(h) - 55*z(h)? -11*h**2 Let i(c) = -2*c - 6. Let k(v) = v + 7. What is -5*i(t) - 4*k(t)? 6*t + 2 Let u(y) = 2*y**2 + 5*y - 2. Let i(j) = -j + 1. What is 5*i(w) + u(w)? 2*w**2 + 3 Let s(r) = -4*r - 4. Let g(j) = 5*j + 3. Calculate -5*g(v) - 6*s(v). -v + 9 Let y(o) = 1. Let f(r) = r - 6. Let k(u) = -9*u - 14. Let w be k(0). Let p = 4 - 6. Calculate p*f(d) + w*y(d). -2*d - 2 Let j = 68 + -65. Let r(t) = -7*t + 9. Let f(y) = 4*y - 5. Determine j*r(c) + 5*f(c). -c + 2 Let l(y) = 5*y**3 + 2*y**2 - 2*y - 2. Let z(u) = -4*u**3 + 5*u - 4*u**2 - 2*u**3 + 0*u**3 - 4*u**3 + 5. Determine -5*l(m) - 2*z(m). -5*m**3 - 2*m**2 Let c(z) = -z**2 - 6*z. Suppose 3 = -3*y, -h + 2*y - 4 = -0*h. Let p(t) = 1 - 1 - 2*t**2 - 13*t. Calculate h*p(n) + 13*c(n). -n**2 Let q(c) = 3*c**2 + 4. Let a(z) = -6*z**2 - 7. Give -3*a(b) - 5*q(b). 3*b**2 + 1 Let x(m) = -m + 0*m - 86*m**2 + 1 + 87*m**2. Let g(w) = 10*w**2 - 10*w + 12. Let a = 77 - 55. Give a*x(y) - 2*g(y). 2*y**2 - 2*y - 2 Let r(b) = -6*b**3 + 4*b**2 + 4*b + 5. Let u(p) = 7*p**3 - 5*p**2 - 5*p - 6. Let a(h) = -6*r(h) - 5*u(h). Let t(d) = 3*d**2 + 3*d. Give -3*a(m) + t(m). -3*m**3 Let w(c) be the first derivative of 5*c**4/4 + c**2 + 2*c - 26. Let k(q) = -4*q**3 - q - 2. Determine -3*k(y) - 2*w(y). 2*y**3 - y + 2 Let k(q) = 15*q**3 + 13*q**2 - 11*q + 7. Let r(f) = -8*f**3 - 7*f**2 + 6*f - 4. What is -6*k(v) - 11*r(v)? -2*v**3 - v**2 + 2 Let o(r) = 2*r - 1. Let k(j) = j - 1. What is -5*k(z) + 3*o(z)? z + 2 Let d(m) = -6*m + 5. Let w(y) = -13*y + 10. Let p(o) = 5*d(o) - 2*w(o). Let v(i) = -7*i + 9. Calculate 5*p(q) - 3*v(q). q - 2 Let m(l) = -l**2 - l + 1. Let j(h) = -3*h**3 - 18*h**2 - 18*h + 18. Determine 5*j(f) - 90*m(f). -15*f**3 Let u(d) = -d**3 + 11*d**2 - d + 6. Let i be u(11). Let t(v) = 1. Let q(m) = 1. Let n(z) = 2*q(z) - t(z). Let g(w) = -w + 2 - 4 - 3. What is i*n(k) - g(k)? k Let g(u) = 1 + 11*u - 1. Suppose -3*c - 2*c = 4*f - 16, -c + 20 = 5*f. Let o(h) = 4 - 8*h + 6*h - f. What is 2*g(q) + 10*o(q)? 2*q Let r(c) = -2*c**2 - 5. Let d(w) = 2*w**2 + 6. Let b = 8 + -6. Suppose b*v - 3*v - 6 = 0. What is v*r(a) - 5*d(a)? 2*a**2 Let j(x) = 5*x + 4. Let w(h) = 11*h + 9. Let f(o) = -5*j(o) + 3*w(o). Let b(u) = -9*u - 8. Give 5*b(a) + 6*f(a). 3*a + 2 Let z(g) = g**2 + g - 1. Let t(s) = -8. Let c(v) = 9. Let x(j) = 5*c(j) + 6*t(j). Let o = -42 + 43. Determine o*x(k) - z(k). -k**2 - k - 2 Let u(o) = -2*o + 2. Let m(x) = -4*x - 6. Let l(a) = 5*a + 7. Let c(t) = -5*l(t) - 6*m(t). Calculate 9*c(w) - 4*u(w). -w + 1 Let t = 4 - -3. Let f(d) = -2*d**2 - 2*d**2 + 5*d**2 + 6. Let j(w) = w**2 + 7. Let o = 10 - 16. What is o*j(q) + t*f(q)? q**2 Let q(d) = d + 5. Let t(a) = -2*a - 11. Calculate 9*q(w) + 4*t(w). w + 1 Let u be (-2)/2*-2 - 9. Let z(r) = 6*r**2 - r + 7. Suppose 5 = -i + 3. Let m(o) = -2*o**2 - 2 - 13*o + 13*o. Calculate i*z(b) + u*m(b). 2*b**2 + 2*b Let i(z) = -10*z + 1. Let x(n) = 9*n - 1. What is -5*i(t) - 6*x(t)? -4*t + 1 Let x(n) = n**3 - n**2 + n - 1. Let y(o) = 10*o**3 + 4*o**2 - 2*o + 2. What is 2*x(c
{ "pile_set_name": "DM Mathematics" }
three letters picked without replacement from hbbbbbbbibibhb. 5/546 Three letters picked without replacement from {p: 4, l: 6, j: 4, u: 4}. Give prob of sequence jjj. 1/204 Four letters picked without replacement from csrcrrcsr. Give prob of sequence cssr. 1/126 Four letters picked without replacement from {b: 2, n: 1, j: 1, h: 1, i: 2, t: 1}. What is prob of sequence jibb? 1/420 Three letters picked without replacement from hoxokxxhohxokkdkkohk. What is prob of sequence hxo? 2/171 Three letters picked without replacement from nnnnjxxnnxxxnxnrxnx. Give prob of sequence xjn. 4/323 What is prob of sequence twb when three letters picked without replacement from bwtbllkktwvkwtk? 3/455 What is prob of sequence cg when two letters picked without replacement from chhhchhhhgchghhc? 1/30 Three letters picked without replacement from {m: 9}. What is prob of sequence mmm? 1 Four letters picked without replacement from hvzvhjhnvdvh. Give prob of sequence hvhv. 2/165 Calculate prob of sequence bu when two letters picked without replacement from {o: 7, u: 4, b: 5}. 1/12 What is prob of sequence ov when two letters picked without replacement from zzzozkkzvzvk? 1/66 Calculate prob of sequence ji when two letters picked without replacement from uijujmu. 1/21 Two letters picked without replacement from bkbiblblk. What is prob of sequence lb? 1/9 Two letters picked without replacement from fufsusfsmc. What is prob of sequence fc? 1/30 Two letters picked without replacement from {i: 1, z: 2, s: 2, m: 1}. Give prob of sequence is. 1/15 Three letters picked without replacement from ssskkkmsskdsskms. What is prob of sequence kmk? 1/84 Three letters picked without replacement from {w: 8, b: 3, e: 5}. What is prob of sequence wew? 1/12 Calculate prob of sequence wky when three letters picked without replacement from {k: 1, w: 1, h: 4, y: 1, i: 1}. 1/336 Calculate prob of sequence xyx when three letters picked without replacement from yyyyyxyy. 0 Calculate prob of sequence nmu when three letters picked without replacement from rucbcmmcbuurmnun. 1/140 What is prob of sequence dv when two letters picked without replacement from {m: 1, d: 1, v: 3, x: 9}? 3/182 Three letters picked without replacement from qckqkqckckccckkqqcw. Give prob of sequence wkq. 5/969 Calculate prob of sequence cb when two letters picked without replacement from {c: 1, p: 5, t: 1, g: 5, b: 3}. 1/70 Calculate prob of sequence eqz when three letters picked without replacement from zowveveoqvooozoqozvz. 2/855 Two letters picked without replacement from {q: 4, a: 7, m: 1, n: 2}. Give prob of sequence nn. 1/91 Three letters picked without replacement from ttttttjtjqrtq. What is prob of sequence qqt? 4/429 Two letters picked without replacement from ueez. What is prob of sequence zu? 1/12 What is prob of sequence anan when four letters picked without replacement from {a: 12, n: 7}? 77/1292 What is prob of sequence qqd when three letters picked without replacement from dqdpdqddxqcqqdd? 2/39 Four letters picked without replacement from {i: 2, k: 1, v: 1, l: 2}. What is prob of sequence ikvl? 1/90 What is prob of sequence ccv when three letters picked without replacement from {c: 2, v: 1, f: 3, x: 1, n: 4}? 1/495 Four letters picked without replacement from xwlaaax. Give prob of sequence wxxl. 1/420 Four letters picked without replacement from {m: 1, e: 3, z: 6, x: 1, n: 1, h: 1}. Give prob of sequence xenh. 1/5720 What is prob of sequence rosy when four letters picked without replacement from {x: 2, s: 1, o: 2, r: 1, y: 2}? 1/420 Three letters picked without replacement from zzr. What is prob of sequence zrz? 1/3 What is prob of sequence dadz when four letters picked without replacement from {a: 4, f: 3, d: 4, u: 1, z: 2}? 4/1001 Four letters picked without replacement from {s: 3, o: 2}. What is prob of sequence ssos? 1/10 Calculate prob of sequence zhbv when four letters picked without replacement from jhjvbvjvzjbbj. 3/5720 Calculate prob of sequence jbu when three letters picked without replacement from yjbununknkknnnjyk. 1/1020 Two letters picked without replacement from pikp. What is prob of sequence ki? 1/12 Four letters picked without replacement from zoouu. What is prob of sequence uuuo? 0 Two letters picked without replacement from hcbiwcew. What is prob of sequence bc? 1/28 Calculate prob of sequence qk when two letters picked without replacement from kbbkkkkkkqkkqkkqk. 9/68 What is prob of sequence gk when two letters picked without replacement from {g: 5, k: 9, i: 2}? 3/16 Four letters picked without replacement from zzzzz. Give prob of sequence zzzz. 1 Calculate prob of sequence qxxq when four letters picked without replacement from gixiigiqqxiig. 1/4290 What is prob of sequence hhhq when four letters picked without replacement from {h: 4, q: 2}? 2/15 Calculate prob of sequence ffnn when four letters picked without replacement from fnnnnnnnnnff. 2/55 Calculate prob of sequence tx when two letters picked without replacement from {t: 1, l: 5, v: 5, x: 1}. 1/132 What is prob of sequence el when two letters picked without replacement from {e: 4, f: 5, a: 8, l: 1}? 2/153 Calculate prob of sequence lurt when four letters picked without replacement from lltruuurmtltlrlttt. 1/272 Three letters picked without replacement from {y: 7, u: 7}. What is prob of sequence uyy? 7/52 Calculate prob of sequence xx when two letters picked without replacement from txtxtx. 1/5 What is prob of sequence kky when three letters picked without replacement from {y: 10, k: 2}? 1/66 Two letters picked without replacement from {z: 8, l: 3, d: 2, v: 2}. What is prob of sequence lz? 4/35 Calculate prob of sequence xoi when three letters picked without replacement from ggxxggoiii. 1/120 Four letters picked without replacement from kkfkkkfkkkkkkfkkkkkk. Give prob of sequence kfff. 1/1140 Two letters picked without replacement from {c: 3, j: 7, y: 4}. What is prob of sequence yc? 6/91 What is prob of sequence bsbc when four letters picked without replacement from sssbcsbcbscsc? 6/715 Three letters picked without replacement from ehhnneeheede. Give prob of sequence nee. 1/22 Calculate prob of sequence lm when two letters picked without replacement from {q: 2, m: 1, k: 6, t: 1, l: 2}. 1/66 Calculate prob of sequence bw when two letters picked without replacement from {k: 10, n: 4, w: 4, b: 2}. 2/95 What is prob of sequence iixi when four letters picked without replacement from {x: 6, w: 2, i: 4}? 2/165 Three letters picked without replacement from {z: 1, y: 1, g: 1}. What is prob of sequence gyz? 1/6 Calculate prob of sequence jx when two letters picked without replacement from opkojkjoojkkjxjkooo. 5/342 Calculate prob of sequence nz when two letters picked without replacement from zzzznzzzzznnnzzn. 11/48 Calculate prob of sequence ika when three letters picked without replacement from {h: 3, i: 4, k: 1, a: 3}. 2/165 What is prob of sequence jt when two letters picked without replacement from yyjfjt? 1/15 Four letters picked without replacement from tqjjllqjwqz. What is prob of sequence zjtq? 1/880 Two letters picked without replacement from zzzzzzzzfzzzfzzzzz. What is prob of sequence zz? 40/51 What is prob of sequence lsjl when four letters picked without replacement from ssssssisjioilisl? 1/2730 What is prob of sequence jlzl when four letters picked without replacement from fijzifffzljzff? 0 Four letters picked without replacement from vyfvqvqvb. Give prob of sequence yqbq. 1/1512 Two letters picked without replacement from hnhonhrhahaomonhhon. Give prob of sequence ar. 1/171 Three letters picked without replacement from kkkkkckkkkkkkkk. Give prob of sequence ckk. 1/15 Four letters picked without replacement from yzbuyzllullg. Give prob of sequence yzyz. 1/2970 Two letters picked without replacement from hbisbbishbsbisiihhhb. Give prob of sequence ib. 3/38 Four letters picked without replacement from {d: 9, z: 1, n: 4, h: 2, b: 1}. What is prob of sequence ddhd? 3/170 Two letters picked without replacement from sttsqrtbrttt. Give prob of sequence qb. 1/132 Two letters picked without replacement from {x: 3, q: 5}. Give prob of sequence xx. 3/28 Three letters picked without replacement from {j: 2, x: 7, b: 2}. Give prob of seq
{ "pile_set_name": "DM Mathematics" }
20 = -30, 0 = 3*w + 5*o - 22. Solve 2*t = -3*a + 5*t - 3, 2*t = w*a + 10 for a. -4 Suppose 2*i - 3*i + 11 = 5*c, 4*i = -3*c + 10. Suppose -5*w = -a, -2*a - c*a = -2*w - 18. Suppose -2*g + 5 = w. Solve 2*p + 0 = 4*m + 8, g*m = -5*p - 4 for m. -2 Let w = -24455 + 24459. Solve 0 = -2*k + 9 - 1, -w*p = -5*k + 36 for p. -4 Let q = -66 - -262. Let a = -192 + q. Solve 5*k + 6 = -3*w, 5 = 3*k - a*w + 26 for k. -3 Let b = 64 + -64. Suppose 258 = 7*a - 134. Suppose 32 = -6*y + a. Solve -4 = -2*d - 4*v, -3*v + b - 7 = y*d for d. -4 Let n = -126 + 173. Suppose 4*i - 135 = -n. Solve -2*u = -4*f + 3*f + 13, f = -5*u - i for u. -5 Suppose 113 = 38*h - 39. Solve 5*u = -3*y + 5, h*u = -5*y + 3 + 1 for y. 0 Let b(u) = u**3 - 4*u**2 + u. Let h be b(4). Let w(c) = -208*c + 419. Let x be w(2). Solve -5*n + 2*j - j - 5 = 0, x = -3*n - h*j for n. -1 Suppose 332*x - 314 = 350. Solve -h + 160*i - 155*i = 10, -x = -4*h - i for h. 0 Let a be (-9 + 73 - -1) + 2/(-4)*-8. Solve -5 = 5*z - 3*f, 5*f - 52 + a = 2*z for z. -4 Let x be -3 - (560/(-15) - -28)*(-6)/(-8). Let f(n) = -n**2 + 15. Let k be f(0). Solve 9 = -i - 3*c, k = -i - x*c - c for i. 0 Suppose 6*r - 9*r = 3*z + 27, 0 = z - 2*r + 18. Let g be (-69)/z - (-6)/24. Let f = -1 - -3. Solve 0 = 3*s + f*a + 13, -g = -2*s - 2*a - 18 for s. -1 Suppose 1057 - 517 = 45*k. Solve 3*g + 4*o + 28 = 0, g + g + k = -o for g. -4 Let c = -3 + 12. Suppose 0 = 11*m - 6*m - 120. Suppose 22*z = 26*z - m. Solve 3*q - c = 3*k, q + z = 3*q for k. 0 Let o = -1342 + 1345. Solve -o*q + 16 - 10 = -2*g, -4*g = -3*q + 12 for g. -3 Let k = -132 - -132. Suppose k = -10*u - 15*u + 75. Solve u*m + 19 = -5*i, -3*m + 4*m = 5*i + 7 for i. -2 Let j = 25462 - 25457. Solve 2*d - m + j = -3*d, -5 = 2*d - m for d. 0 Let i = 22686 + -22684. Solve 40*n - 41*n = 3*j + 8, 3*j = -i*n - 7 for n. 1 Let x(w) = -w**3 + 11*w**2 - 34*w + 23. Let u be x(11). Let m = 351 + u. Solve 2*t + 5*j + 9 = 0, m*j - 12 = -2*t + 2*j for t. 3 Let h(a) = a**2 - 77*a + 836. Let i be h(64). Solve 16*l - 20*l + i*t + 8 = 0, 4*l + 5*t = -28 for l. -2 Suppose 71*r - 16 = -6 + 61. Solve -28 = -3*u + 5*x, -r = 2*u + 2*x + 7 for u. 1 Let c be 1/(-9) + (-6080)/36. Let w = 174 + c. Solve -3*y + 4*t - 5*t = 9, -15 = w*y + t for y. -3 Suppose 62 = 4*h + b, 5*h - 92 = -2*b - 16. Let a be (h/(-36)*6)/((-4)/6). Let z = -84 + 88. Solve -z*c = 2*j + j + 8, a*j = -5*c - 11 for j. -4 Let h be ((-1025)/615)/(1 + (-22)/12). Suppose -h*u + u + 18 = 5*j, -j + 3 = 0. Solve 0 = u*k + c - 3*c - 4, 5*k - 4 = 2*c for k. 0 Let j = -667 + 402. Let v = j - -270. Solve 0 = v*h - k, 3 = -3*h - k + 11 for h. 1 Let n be ((-10620)/1416)/(3/(-2)). Solve 3*i - 16 = n*m + 5, i + 1 = -m for i. 2 Suppose 0 = -2*m - 5*u - 32, 5*u = 5*m - 0*m - 60. Solve 2*g + 6 = 3*o, 32*g = m*o + 33*g + 3 for o. 0 Suppose -234*s = -233*s. Suppose 5*w - 3*n - 89 = 0, -5*w - 2*n = 3*n - 65. Let g be 4 - ((1 - 1) + 1). Solve -r = -p - g*p + w, 3*r + 12 = s for p. 3 Let s(b) = -b**2 + 2*b. Let g(a) = -6*a**2 + 42*a + 14. Let y(c) = g(c) - 4*s(c). Let f be y(17). Solve -2*n = -2*z - f, -2*z + 5*n - 15 = 11 for z. -3 Let y(x) = -17 + 10 - 1 - 2*x + x. Let z be y(-13). Solve -4*t + 15 = -9*t + z*c, -t - 3 = -3*c for t. -3 Let y(n) = 4*n**3 + 231*n**2 - 54*n + 232. Let d be y(-58). Solve 4*w + 14 = -5*o, -5*o + d = -w + 9 for o. -2 Let j = -79 - -114. Let p = j + -28. Suppose 6*s + 2 = p*s. Solve -5*y = -2*i + 29, 0 = -y + s*i + i - 11 for y. -5 Suppose 92 = 11*r + 9*r + 12. Solve 0 = 2*z - 2*o, -2*o + r = -23*z + 25*z for z. 1 Suppose 9*j + 204 = 3*j. Let i be 5/10 + -1 + j/(-4). Let z be (35/(-14) - -3)/(1/i). Solve -4*v - 2*g = -1 - 1, 0 = 5*v - z*g + 4 for v. 0 Suppose 0 = -4*w + 15 + 1. Suppose 13 = r + w. Let n = -376 + 381. Solve 0*j - 2*m + 10 = 2*j, 0 = n*j + m - r for j. 1 Let i(g) = 858*g - 4286. Let z be i(5). Solve l - c - z = 0, -15*l - 5*c = -16*l + 24 for l. -1 Let p be (32/(-28))/(-4) + -1 + 228/84. Solve 5*g + 10 = 0, -3*m + p*g - 2 = -3*g for m. -4 Let a be (-6)/70*-7 + 32/5. Let c be 1/(3/(2 + 16)). Solve -c*k + k - 13 = 4*h, 3*h = -k - a for k. -1 Suppose 10 = -5*w, 4*j = j - 2*w + 29. Let t be 22/4 + -6 + 11/2. Let u be 13/(4*t/20). Solve -3*k = -2*s + 2*k + u, 3*s + k = j for s. 4 Suppose 78*j + 41*j - 363 = -2*j. Solve -j*l - 16 = 2*z, -2*z - 4 = l + 4 for l. -4 Let l(u) = u**3 - 6*u**2 + 14*u - 11. Suppose 0 = r - 2*r + 4*z - 1, -2*r + 8 = 2*z. Let s be l(r). Solve 0 = -5*c + 5*o, -2*o + 3*o = 3*c - s for c. 2 Suppose -50 = o - 48, 3*x = -5*o - 1. Solve -5*n + x*y = -y - 9, 0 = -2*n + 4*y - 6 for n. 5 Let u be (-2)/3 + 24/9. Let h(i) = 2*i**2 + 107*i + 1158. Let f be h(-15). Solve u*b - 1 = b - 2*l, f*b + l = -7 for b. -3 Let h(z) = 2*z. Let y be h(-1). Let n = 0 - y. Let a be (-20)/320*-302 + 1/8. Solve -5*b - a = -3*v, 0 = -4*b + n*b - 4*v - 18 for b. -5 Let d = -6742 - -6773. Solve 2*p + 24 = -4*q, -d*q = -35*q - p - 28 for q. -8 Suppose u - 7*u - 30 = 0. Let n(w) = -5*w - 17. Let o be n(u). Suppose o*m - 6 = 6*m. Solve -2*v + m*v = 3*s - 10, -4*v - 10 = -2*s for s. 3 Suppose -179*h - 18*h = -197. Solve 7 = -3*z - 4*w - h, -3*w = -z + 19 for z. 4 Suppose 3*o - 3*q = 6*o - 3, -2*o + 7 = q. Let h be (o + -2)*(-19)/(-2). Let b = h + -37. Solve 0 = -5*l + 5, 2*l - 6*l - b = 5*f for f. -1 Let w = 18 + -14. Suppose 4*g = -r + 52 + 1, 0 = -g - r + 11. Suppose 0 = 3*t - 2*o - 55, g*t - 15*t = -3*o - 30. Solve -j + 8 = -5*b, w*j - t = 2*b - 1 for b. -1 Let j be (-55)/20 + 2 + 188/16 - 6. Solve -j*y + 10 = 0, -4*d - 19*y + 20 = -15*y for d. 3 Let h be (-20)/12*42/(-35). Let z(a) = -20*a + 40. Let i be z(h). Solve v - c - 5 = i, 3*v - 4*c - 11 = -3*c for v. 3 Let c be 40*(627/(-76))/(-33). Solve 0 = -4*n - a + 18, 5*n + 5*a - c - 5 = 0 for n. 5 Suppose -1541*u - 21 = -1548*u. Solve -4*c + 4*w = 4, -u*c - 2*w + 5 = -2 for c. 1 Let y be (-4)/12 + 6/(-9). Let u be y - 1 - (-200)/16*2. Suppose -6*h - 5 + u = 0. Solve -5 + 1 = -3*k - 2*x, -2*k + 7 = -h*x for k. 2 Let i(v) = -628*v**2 + 608*v**2 - v**3 + 7 + 14 + v. Suppose -4*n - 30 - 50 = u, 5*u = 0. Let x be i(n). Solve 5*j + 4*s = -x, -2*s + 2 = 5*j + 5 for j. -1 Suppose -5*b - 934 = 2*q, b - 66 = -64. Let l = q - -489. Solve 0 = -a + 3, -5*a = 4*d - 2*a - l for d. 2 Let w = -55 - -59. Suppose 5*i - 11 = -2*z, -i - 10 = -5*z + w*i. Solve 4*h + z*t - 12 = 0, -2*t = -3*h - 4*t + 8 for h. 0 Suppose -91 + 92 = p. Let c be ((10 - (-136)/(-16))/(-3))/((-1)/6). Solve 6 = -i - 4*n, i - c*n - 7 - p = 0 for i. 2 Let m be 212 + -203 + 1/(-1). Solve 4*g = -m, -2*q + 3*g = -0*g - 2 for q. -2 Let n be (6/18)/((-2)/(-24)). Suppose -3*d + 27 = 2*b, -3*b = b - 12. Suppose d*i - 163 = -135. Solve -4*j - 6*z = -n*z + 18, -5*j - i*z = 21 for j. -5 Suppose -27*o + 25*o + 2 = -3*x, 0 = 3*x + 3*o - 18. Solve -30*p - 3*f - 7 = -29*p, x*p + 3*f = -11 for p. -4 Let r = -573 - -577. Solve 29 = 5*u - r*j, 6 = 4*u - 3*j - 17 for u. 5 Let y be 36/198 - (-93)/33. Solve 3*p - 15 = -5*g, p + y*g = -4*p + 9 for p. 0 Let a(k) = -k**3 - 72*k**2 + 225*k + 6. Let t be a(-75). Suppose -108 = -4*f - 16. Solve t*p + f = -4*n + 3*p, 0 = 5*n + p + 15 for n. -2 Let h = 1889 - 1876. Solve -h*g + 2*u + 15 = -16*g, -u = 3 for g. -3 Let x be -3 + (4 - 2) - -15. Let r(z) = z**3 - 10*z**2 - 22*z - 18. Let o be r(12). Solve -o*f - x = -n - 2*f, 12 = -4*f for n. 2 Let s be (-3)/(21/2 + -3)*-5. Suppose -s*f + 4*w = 0, 4*w + 4 = f + 6. Solve -k + 3*k + f*d + 2 = 0, -5*d - 9 = 4*k for k. 4 Let w = -23777 + 23819. Solve -2*z - w = -4*h, -16*z + 7 = -19*z - h for z. -5 Let d be -5*(2/12 + 394/(-60)). Solve i = -z - 3, d*i = 31*i - 2 for z. -1 Let n = -3 + 3. Suppose -96050 = -156*x - 94490. Solve 0 = 4*b - o - x, n*o = 4*b + 3*o - 2 for b. 2 Suppose -p + 328*v - 332*v = -13, -5*p - 5*v + 110 = 0. Solve 7*u + p = 2*u, 3*q = -4*u - 20 for q. 0 Suppose 2*q + k - 6 = -k, 0 = q - 4*k - 23. Let b = -3 + q. Let l = 823 + -817. Solve l*u - b*w - 4 = 3*u, -16 = 4*w for u. -4 Let d(l) = 4*l**2 - 3*l - 7. Let i(x) = -7*x**2 + 6*x + 13. Let k(b) = 5*d(b) + 3*i(b). Let j be k(0). Solve -c = 3*z - 5*z + 1, -j*z - 1 = -c for z. -1 Suppose -4*p + s + 14 = 0, -1 = 4*p + s - 11. Let w(d) = 5*d**2 + 80*d - 8919. Let u be w(-51). Let y = 6 - 3. Solve 3*g + 24 = -y*z + u, -2*g + p*z = -3 for g. -3 Let o be -10*8*2/(-41 + 1). Solve 2*b - 5*b + 8 = -o*s, -
{ "pile_set_name": "DM Mathematics" }
. Let n = -22 - l. Sort 4, n, -2. -2, n, 4 Let w be 2*(-5)/12 - 0. Let b = -407 - -2443/6. Let q = 31/21 - 15/7. Put b, q, w in descending order. b, q, w Let a = 0.03 + -0.23. Let p(w) = w + 5. Let y be p(-3). Suppose -2*i - 3 = -g, -5*g - 9 = 3*i + y. Sort -0.08, a, i in decreasing order. -0.08, a, i Let s = -3481/7 - -497. Put -34/5, 0.5, s in decreasing order. 0.5, s, -34/5 Let x = 388 - 384. Put x, 20, 2 in decreasing order. 20, x, 2 Suppose 3*c + 45 = -2*c. Let s be c*(-1 + 6/9). Put 8, s, 2 in decreasing order. 8, s, 2 Let u(x) = x**2 + 13*x + 16. Let m be u(-11). Suppose 2*v = i + 3, 5*v + 0 = 2*i + 8. Sort i, m, 3 in decreasing order. 3, i, m Suppose -5*q + 4*q = -2. Let k be 2*177/(-12)*q. Let g = k - -231/4. Sort 0.1, 2, g in descending order. 2, 0.1, g Let u be (-20)/(-3) - 24/9. Let m(p) = -p**3 - 7*p**2 + p + 6. Let g be m(-7). Sort g, -4, 5, u. -4, g, u, 5 Let m be (-6)/(-15)*10/4. Put -2, -1, m in decreasing order. m, -1, -2 Let l = 60/133 - 2825/4788. Let j = l - -137/468. Sort 2, 1, -0.2, j in decreasing order. 2, 1, j, -0.2 Let w = 1342 + -1346. Sort 4, w, -39 in ascending order. -39, w, 4 Let y be (-10)/4*8/(-5). Let j = y + -5. Let a(c) = -c. Let h be a(0). Put j, h, 4 in increasing order. j, h, 4 Let i be 6 + -8 + 5 - 6/2. Put 4, i, 32, -4 in descending order. 32, 4, i, -4 Let s = -24 - -37. Let w = -112 + 117. Put s, 0.2, w, 5/4 in increasing order. 0.2, 5/4, w, s Let r = -39 + 37. Sort 5/6, r, 5, 4 in decreasing order. 5, 4, 5/6, r Let k be -1*2/4*(-14 - -14). Suppose 0*i + 2*n = 4*i, 2*n = -5*i + 18. Sort k, -2, i in decreasing order. i, k, -2 Let q be 4/6 + (-44)/12. Let j(x) = x**3 - 3*x**2 + 3*x - 4. Let m be j(2). Put q, 6, m, -1 in increasing order. q, m, -1, 6 Suppose 0 = 6*j - 3*j + 18. Let u be (-6)/(-9)*-1*j. Suppose -u*y = -0*y. Sort 4, y, 2. y, 2, 4 Let c be (4/(-6))/(28/6 + -8). Let n be ((-1 - -4) + (0 - 5))/(-15). Put c, n, 2/9 in increasing order. n, c, 2/9 Let o = -1.7 - 0.3. Let g(b) = -16*b - 44. Let a be g(-3). Sort o, 0.5, -1, a in decreasing order. a, 0.5, -1, o Let u(x) = -x**2 - 1. Let l be u(0). Let p = -5.193 - -0.193. Put p, l, -1/6 in ascending order. p, l, -1/6 Suppose 0 = 42*y - 29*y - 52. Sort -17, 1, y in increasing order. -17, 1, y Let v = 624 + -623. Put v, 34, -2 in decreasing order. 34, v, -2 Let g(d) = d - d**2 + 2 - 8 + 5*d - 2. Let l be g(2). Put l, 2, 4 in descending order. 4, 2, l Let f(g) = -g + 9. Let z be f(7). Let c be (z - 0)*(-14)/(-4). Let d(b) = b**3 - 9*b**2 - b + 7. Let y be d(9). Sort y, c, 3 in ascending order. y, 3, c Let i(h) = -h - 13. Let t be i(-11). Let j = -9 - -8. Let l be (j/3)/((-2)/6). Put t, 5, l in decreasing order. 5, l, t Let f = 28945/119944 - 24653209253/883387560. Let g = 1/2455 - f. Let x = 27 - g. Put -0.03, 0, x in ascending order. x, -0.03, 0 Let v be ((-96)/208*-13)/(2/(-12)). Put v, -5, -3 in ascending order. v, -5, -3 Let p = -412 - -410. Put -6, p, -1, -9 in descending order. -1, p, -6, -9 Let c(m) = m**2 + 7*m - 30. Let z be c(3). Sort -1, 4, z in decreasing order. 4, z, -1 Let k = -246/763 - -4/109. Let x = -19 - -21. Let u = x - 3. Sort u, 3, k in increasing order. u, k, 3 Suppose -z = 4*p - 1, z + 39 = -4*z + 2*p. Let v = z - -9. Put 1, -0.07, v in descending order. v, 1, -0.07 Let m = 18.6 + -17.6. Put 4, 2/5, m, 0.08 in descending order. 4, m, 2/5, 0.08 Let q = 0.75 + -0.625. Let x = -2.875 - q. Sort x, -5, -9. -9, -5, x Let u = -229 + 258. Sort 0, u, -5, 1 in descending order. u, 1, 0, -5 Let j(l) = -l + 7. Let f be j(5). Let t be 128/48*3/2. Let q be -5 + (t - 4 - -1). Sort q, -1, f in ascending order. q, -1, f Let o be -138*((-20)/12 + -1 + 3). Sort o, -4, 0 in descending order. 0, -4, o Let i(b) = 7*b**3 - 2*b**2 + 4*b - 3. Let a be i(1). Let c be (-15)/a + (-1)/(-1). Sort 3, -7, c. -7, c, 3 Suppose -3*x = 24*x + 135. Put x, -3, -2, -9 in decreasing order. -2, -3, x, -9 Let j(v) = -v**3 + v**2 + 3*v + 1. Let y be j(3). Let f be (15/70)/((-6)/y). Let u = -23/12 + 125/84. Sort u, f, -2 in increasing order. -2, u, f Suppose -3*b + x = -6, 0*b + 2*x = 4*b - 8. Put 4, b, -6 in increasing order. -6, b, 4 Suppose -36 = 2*p - 4*p. Let i be ((-2)/6)/(3/p). Let a = 14 + -9. Put a, i, 3 in increasing order. i, 3, a Let r be 3 - (4 + (5 - (-112)/(-7))). Sort 4, r, -6, 0 in decreasing order. r, 4, 0, -6 Let o = 0.1 + 3.9. Let l = -182 + 117. Let x = -65.5 - l. Sort o, -2/3, x in descending order. o, x, -2/3 Suppose 3 = n + 8, n = -5*d - 35. Let x be d/(-24) + (-3)/(-6). Let s = 0 - 4. Put x, s, -3 in descending order. x, -3, s Let u = 860.99 + -861. Put u, 4, -0.3, 3 in ascending order. -0.3, u, 3, 4 Let s(l) = -l + 1. Let o be s(5). Let t(u) = -u**3 - 13*u**2 + 14*u + 3. Let i be t(-14). Let g be -1 + i + 34/(-12). Put o, 2/11, g in decreasing order. 2/11, g, o Suppose 0*q = -4*d + 2*q, -4*d - 8 = 2*q. Suppose 0*o - 8 = 2*o. Let n be -5 + (-126)/(-12) - (-1)/(-2). Sort o, d, n. o, d, n Let g = -76 + 81. Sort 0, g, -12 in increasing order. -12, 0, g Suppose 2*l + 254 - 32 = -q, 0 = -5*l + 5*q - 540. Let i = -73 - l. Let r = i - 40. Sort -1, 2, r in increasing order. r, -1, 2 Let c = 28 + -27. Put 0.2, c, 0.12 in decreasing order. c, 0.2, 0.12 Let y = -266 - -266.3. Put -0.2, 2/11, 0.4, y in decreasing order. 0.4, y, 2/11, -0.2 Let n = -466 + 462. Put 2, 8, -2/13, n in decreasing order. 8, 2, -2/13, n Let p = 20.4 + -17. Let m = p - 3. Let y = -191 + 190.8. Put 0.3, m, y in ascending order. y, 0.3, m Let a = -7 - -4. Let o(h) = 535*h - 11*h**2 + h**3 - 265*h - 269*h - 7. Let n be o(11). Put a, n, 16 in ascending order. a, n, 16 Let c be 2/4 + (-4)/8. Suppose c = 3*p - 15, k = 2*p - 4*p + 14. Let h(g) = -g**3 + 5*g**2 + 8*g - 9. Let t be h(6). Put t, -2, k in decreasing order. k, t, -2 Let g = 0.122 - 0.322. Sort 5, 3, g, -0.04 in increasing order. g, -0.04, 3, 5 Let v = 7 + -6.7. Let h be 73/(-15) + 11 + -6. Put v, h, 3 in ascending order. h, v, 3 Let y(b) = b**3 + 3*b**2 - 19*b - 57. Let s be y(-4). Put s, 24, 2 in decreasing order. 24, s, 2 Suppose -y + 7 = 16. Let j be (-27)/24*(-3)/y. Let a = -6 + 4. Sort 0.2, a, j in ascending order. a, j, 0.2 Let z = 229 - 225. Put -0.2, -0.5, z, 6 in descending order. 6, z, -0.2, -0.5 Let k = 0.2 - 0. Let u(c) be the second derivative of 2*c**3/3 + 55*c**2 - 2*c - 42. Let z be u(-27). Sort -0.3, z, k. -0.3, k, z Let f be (4*-2)/(-1 + (-7)/(-5)). Let s be (-27)/(-54)*f/6. Sort -0.2, 0.1, s, 0.3 in increasing order. s, -0.2, 0.1, 0.3 Let q = -1.08 - -1.18. Let t = 5.1 - q. Put 0.2, 0.4, -1, t in decreasing order. t, 0.4, 0.2, -1 Suppose -11*k = 5*x - 6*k - 25, 0 = -4*x - k + 17. Put 0.1, -1, -0.5, x in descending order. x, 0.1, -0.5, -1 Suppose -3*r + 8*r = 0. Let k be (0 - (-7 + 4))*(-14)/(-6). Let v be k - ((-32)/(-80) - (-16)/10). Sort v, 4, r. r, 4, v Let i be 1/((-4)/(-38) + (-225)/513). Sort i, 86, -2, 1 in ascending order. i, -2, 1, 86 Suppose -9 - 11 = 5*u, 4*z - u - 8 = 0. Put -4, z, 4, -92 in descending order. 4, z, -4, -92 Let w be (-1116)/(-24)*(-8)/6. Sort w, 3, 2, -4 in increasing order. w, -4, 2, 3 Let u = 1194 - 1168. Suppose -4*i + 5*b + 1 = 0, -3*b = 5*i + 2*b + 10. Sort -3, i, u in descending order. u, i, -3 Let x be 2/(-11) - (-2610)/(-1980). Let f = -0.6 + 1. Put x, -5, f in ascending order. -5, x, f Let x = -35 + 42. Suppose x*r + 0 = 14. Let v = -1 + 0. Put -5, r, v in decreasing order. r, v, -5 Let y = -11 - -7. Let s = 4 - 14.3. Let j = s - -10. Sort y, 0.1, j in decreasing order. 0.1, j, y Let a(b) = -b**3 + 5*b - 2. Let p be a(2). Let l(f) = -f**2 - 2*f - 5. Let g be l(p). Put g, -1/2, 4/5 in decreasing order. 4/5, -1/2, g Let x = -11 - -15. Suppose 24*a - 6*a = 432. Suppose 23*b - 17*b = -a. Sort b, x, 0.2 in descending order. x, 0.2, b Let p(m) = -m**3 + 11*m**2 - 26*m + 11. Let l be p(8). Sort -2/19, l, 4, 2. l, -2/19, 2, 4 Let z be 2*(23 + -13 + -11). Put -2/5, 0.3, z in descending order. 0.3, -2/5, z Let k = -61 + 60. Let g = 22 - 29. Put 1/2, k, g in decreasing order. 1/2, k, g Let k be 6/21 + (-30)/7. Suppose 5*u = 1 + 4. Let a be (u - (1 - 2))*1. Put 5, a, k in descending order. 5, a, k Let r = 5.42 + -0.52. Let h = r - 4.6. Sort h, 2/7, -4. -4, 2/7, h Let f = 1 + -1.01. Let n = f - -0.01. Let q = -0.4 - 0.1. Sort q, n, -0.4 in increasing order. q, -0.4, n Let i = 37 -
{ "pile_set_name": "DM Mathematics" }
. Let x(b) = 2*b + 3 + 2 + 0 + 0. Let k(n) = 10*s(n) - 6*x(n). Let j(m) = -m - 7. Let f(t) = -7*t - 28. Let d(u) = -f(u) + 4*j(u). Give d(k(w)). -6*w Let a(y) be the first derivative of 8*y**2 + y + 948. Let x(k) = 48*k. What is a(x(m))? 768*m + 1 Let u(h) = 3*h**2. Let v(t) = -12732325*t**2. What is v(u(r))? -114590925*r**4 Let p(b) = -236475*b. Let t(d) = -1630*d. Determine t(p(l)). 385454250*l Let h(w) = -16*w**2 + 14*w + 216. Let d(p) = 11*p**2 - 10*p - 153. Let o(m) = -7*d(m) - 5*h(m). Let u(k) = -4*k. Calculate o(u(i)). 48*i**2 - 9 Let o(u) be the first derivative of -19*u**2/2 + 6586. Let w(n) = -n - 33. Calculate w(o(x)). 19*x - 33 Let s(f) = -41*f**2. Let n = -22 - -13. Let g(t) = -t**3 - 10*t**2 - 9*t + 7. Let w be g(n). Let l(v) = w*v - 8*v + 2*v. Calculate s(l(d)). -41*d**2 Let b(i) be the first derivative of -4*i**3/3 - 14. Let m(x) = -48*x. Determine m(b(o)). 192*o**2 Let a(l) = 460*l - 368. Let v(u) = -2*u + 2. Let s(d) = -3*a(d) - 552*v(d). Let b(p) = 7*p. What is s(b(r))? -1932*r Let i be (-1)/((-1)/(-4)*-2). Let c(w) = -2*w - 2*w + 2*w**i + 4*w. Let n(g) be the third derivative of g**4/3 - 25*g**2 - 2. What is c(n(a))? 128*a**2 Let x(v) = -2*v. Suppose -143 = 3*f - 5*n, 2*f + 64 + 30 = 3*n. Let l = 155 - f. Let b(o) = -o + 196 - l. Give b(x(z)). 2*z Suppose 84*q + 8*q = 0. Let v(k) be the second derivative of -1/2*k**3 + 0*k**2 + 27*k + q. Let y(h) = 6*h. Calculate v(y(s)). -18*s Let u(y) = 12*y**2 - 65*y - 65. Let x(f) = -2*f**2 + 10*f + 10. Let b(m) = -4*u(m) - 26*x(m). Let d(v) = 342*v. Determine d(b(k)). 1368*k**2 Let p(j) = -2*j + 9*j - 5*j + j - 10*j. Let x(a) be the second derivative of a**3/6 - 17*a. What is x(p(f))? -7*f Let g(t) = 3*t - 6213. Let c(f) = 6*f + 9. Calculate c(g(m)). 18*m - 37269 Let c(f) = 11*f + 10*f + 3*f. Let b(m) = 32*m**2 + 14*m - 14. Let d(o) = 7*o**2 + 3*o - 3. Let w(p) = 3*b(p) - 14*d(p). Calculate c(w(u)). -48*u**2 Let c(v) = -453*v. Let h(q) = -8002*q**2. Calculate c(h(t)). 3624906*t**2 Let r = 2 + 15. Suppose 16*o = r*o - 4. Let d(b) = -b + 38 - 38 + o*b. Let n(w) = 4*w. Determine n(d(z)). 12*z Let c(m) = 2*m. Let z(b) = 12059729*b**2. What is c(z(d))? 24119458*d**2 Let r(b) = -2*b**2 - 7*b. Let p(o) = -o**2 + 7*o. Let u(x) = 3*p(x) + 3*r(x). Let k(z) = -9*z**2 + 4 - 4. Determine u(k(w)). -729*w**4 Let c(a) be the first derivative of -19*a**3/3 + 56. Let u(w) = 4*w - 7*w + 0*w. Determine c(u(n)). -171*n**2 Let m(d) = 5*d**2 - 12*d + 7*d**2 + 9*d + 14*d**2. Let w(v) = 132*v**2 - 16*v. Let j(o) = 11*m(o) - 2*w(o). Let i(l) = 4*l**2. Determine j(i(s)). 352*s**4 - 4*s**2 Let c(r) = -609*r + 153*r + 157 + 157*r + 145*r + 152*r. Let w(q) = 28*q. Give w(c(z)). -56*z + 4396 Let r(l) be the third derivative of -l**5/20 - l**2. Let t(z) be the first derivative of 2*z**3 + 0*z**3 - 3*z**3 - 114. Calculate t(r(j)). -27*j**4 Let v(c) = -4*c**2 + 7. Let t(y) be the first derivative of -y**5/60 + y**2/2 - 4*y - 94. Let a(o) be the second derivative of t(o). Calculate a(v(m)). -16*m**4 + 56*m**2 - 49 Let t(d) = -52*d**2 + 92*d + 138. Let z(h) = -17*h**2 + 30*h + 45. Let n(g) = -15*t(g) + 46*z(g). Let a(l) be the first derivative of 3*l**3 - 1. Give a(n(y)). 36*y**4 Let p(r) = 261*r - 873. Let a(x) = x - 58. Let u(o) = 15*a(o) - p(o). Let b(h) = -h**2. Calculate u(b(v)). 246*v**2 + 3 Let h(q) = -415*q - 2. Let u(m) = -m**2 - 6*m + 127. Give u(h(k)). -172225*k**2 + 830*k + 135 Let l(t) = -231*t + 1 - 215*t - 179*t + 202*t. Let f(x) = -3*x. Calculate l(f(y)). 1269*y + 1 Let m(l) = 6*l**2. Let v(x) = 16*x**2. Let b(w) = -12*m(w) + 5*v(w). Suppose 5*t - 2*g = -1 + 10, -15 = -4*t - g. Let z(u) = -15*u + t*u + 7*u. Give b(z(a)). 200*a**2 Let s(y) = 3*y - 17. Let c(o) = -7*o - 1475 + 2942 - 1467. Determine c(s(n)). -21*n + 119 Let p(s) = 137*s - 39*s - 50*s - 53*s. Let g(t) = -14*t - 12. Let h(k) = -12*k - 11. Let z(w) = -5*g(w) + 6*h(w). Calculate z(p(d)). 10*d - 6 Let m(z) be the first derivative of 2*z**3/3 + 1. Let s = 4 - -36. Let u(j) = -s*j - 14*j + 31*j. Calculate u(m(h)). -46*h**2 Let p(n) = 585*n + 118*n + 1328*n. Let y(r) = r**2. Determine y(p(s)). 4124961*s**2 Let h(o) = -829*o**2 - 5319 + 10638 - 5322. Let s(r) = -5*r. Give h(s(t)). -20725*t**2 - 3 Suppose -9 + 49 = 4*g. Suppose 4*a + a - g = 0. Let w(c) = 82 - 82 + c**a. Let b(l) = 6*l**2. What is b(w(h))? 6*h**4 Let y(n) = -461006102*n. Let m(l) = -l. Calculate y(m(h)). 461006102*h Let h(o) be the third derivative of 19*o**5/60 - o**2 + 3055. Let p(d) = 2*d**2 + 8*d. Let f(k) = k. Let j(u) = 24*f(u) - 3*p(u). Give j(h(t)). -2166*t**4 Let d(p) = -p. Let c(h) be the second derivative of 32*h**3/3 + 4*h**2 - 3142*h. What is d(c(r))? -64*r - 8 Let d(b) = 33*b**2 - 2*b**2 - 17*b**2 + 24*b**2. Let x(v) = 2*v**2. Calculate d(x(y)). 152*y**4 Let v(i) = 4325 + 4262 - 8587 - 2*i**2. Let x(j) = -12284*j**2. Give x(v(b)). -49136*b**4 Let a(j) = j**2 - 11*j. Let y be ((-308)/(-110))/(3/45). Let z(q) = 35*q. Let t(f) = -4*f. Let p(g) = y*t(g) + 5*z(g). Calculate a(p(k)). 49*k**2 - 77*k Let p(w) = -3*w. Let c = -25 - -27. Let a(h) = -31*h**2 + 59*h**c - 25*h**2. Determine p(a(s)). -9*s**2 Let x(d) = -3*d. Let a(s) = -18*s. Let f(y) = -4*a(y) + 27*x(y). Let i(t) be the third derivative of 7*t**4/24 + 6*t**2 - 2. What is f(i(v))? -63*v Suppose -9*n - 30 = -19*n. Let h(b) = 243*b**2 - b + 6. Let m(u) = -486*u**2 + 2*u - 10. Let o(q) = n*m(q) + 5*h(q). Let y(t) = -2*t. Determine y(o(f)). 486*f**2 - 2*f Let h be 15 + ((-63)/9 - (-2 + 0)). Let u(o) = -11*o**2 - h*o**2 + 16*o**2. Let r(w) be the third derivative of w**5/15 + w**2. Determine u(r(j)). -80*j**4 Let s(d) = 34*d**2. Let p(y) be the third derivative of 0 + 0*y**3 + 11/24*y**4 - 256*y**2 + 0*y. Determine p(s(f)). 374*f**2 Let n(u) = -2*u**2. Suppose 16*y - 42 = 102. Suppose t + 3*k = 2*t + 12, -4*t = 4*k - 32. Let i(w) = -9*w - y*w + t*w + 3*w. Calculate i(n(b)). 24*b**2 Let r(f) = -2*f - 6. Let w(v) = -5714*v + 6. Determine w(r(l)). 11428*l + 34290 Let g(x) be the third derivative of x**5/15 + 7*x**3/2 - x**2. Let r(b) = -89*b + 85. Let c(y) = 42*y - 40. Let u(i) = -17*c(i) - 8*r(i). Determine g(u(o)). 16*o**2 + 21 Let t(x) = 6*x + 57. Let n be t(-16). Let k be ((-13)/n)/(1/6). Let s(h) = -186*h**k - h + 188*h**2 + h. Let g(c) = -7*c**2. Give g(s(d)). -28*d**4 Let m(j) be the third derivative of j**4/24 + 14*j**3/3 + 7*j**2 + 29. Let p(s) = -4*s**2. Determine p(m(v)). -4*v**2 - 224*v - 3136 Let i(z) be the third derivative of -17*z**4/24 - 3*z**2. Let g(h) = 39*h**2 - 4*h. Let p(u) = 68*u**2 - 7*u. Let q(l) = -7*g(l) + 4*p(l). Determine q(i(m)). -289*m**2 Let o(b) = -7066*b**2 + 15*b. Let t(w) = -38*w. Give t(o(a)). 268508*a**2 - 570*a Let i(n) = 19*n**2 + 6*n + 6. Let q(c) = -22*c**2 - 7*c - 7. Let y(d) = -14*i(d) - 12*q(d). Let b(s) = 807*s**2. What is b(y(f))? 3228*f**4 Let b(w) = 240*w + 46*w**2 - 240*w - 47*w**2. Suppose -3*x - 12 = -3*i, -4*i + 6 = x - 10. Let r(u) = 0*u**2 + u**2 + i*u**2. Calculate r(b(j)). 5*j**4 Let d(p) = 178*p + 119 + 62*p - 119. Let z(b) be the first derivative of b**3/3 - 9. Determine d(z(t)). 240*t**2 Let i(g) = 3*g**2 + 2*g - 4. Let w(t) = 42*t**2 + 27*t - 54. Let f(z) = 54*i(z) - 4*w(z). Let q(k) = 19 - 19 - 2*k**2 + k**2. Give q(f(v)). -36*v**4 Let z(k) = 40*k + 5266. Let j(h) = 64*h + 1. What is j(z(o))? 2560*o + 337025 Let h(u) = 35*u**2 + 7*u + 6. Let t(d) = 34*d**2 + 6*d + 5. Let f(a) = 6*h(a) - 7*t(a). Let x(s) = 3*s**2 + 3*s**2 + 10*s**2 - 12*s**2. Determine x(f(q)). 3136*q**4 - 224*q**2 + 4 Let j(d) = -68*d**2. Suppose -2551 - 824 = -3*l. Let s(f) = -2*f + 1125 - l. Give s(j(x)). 136*x**2 Let w(b) = 7*b**2. Let u(p) be the second derivative of 0*p**3 - 5*p - 7/12*p**4 + 2 + 0*p**2. Determine u(w(i)). -343*i**4 Let z(y) = -3*y + 9. Let t(q) = 1258*q + 198. Let b(w) = 2*t(w) - 44*z(w). Let n(k) = 2*k. Calculate b(n(a)). 5296*a Let u(o) = -7*o**2 - 162. Let q(j) = 26*j + 214. Calculate u(q(b)). -4732*b**2 - 77896*b - 320734 Let r(o) = 3*o**2 - 2*o + 4. Let x(f) = 39*f**2 - 27*f + 54. Let u(a) = -27*r(a) + 2*x(a). Let q(b) = 261*b - 1. Give q(u(m)). -783*m**2 - 1 Let q(b) = -141*b**2 - 3*b - 65. Let l(j) = 5*j. What is l(q(h))? -705*h**2 - 15*h - 325 Let b(g) = 14*g. Let d be (-4)/(16/(8 + -16)). Let c(o) = 18*o - 18*o + 4*o**d - 25*o**2. Calculate c(b(w)). -4116*w**2
{ "pile_set_name": "DM Mathematics" }
- l**3 + 6*l**2. Let o be n(7). What is the derivative of o + 2*p + 0 + 0 wrt p? 2 Let b be 6/(-8)*(-2 - 2). Find the second derivative of 2*h - b*h - h - 4*h**3 wrt h. -24*h Let z(o) = o - 7. Let w be z(9). What is the third derivative of w*m**5 - 4*m**5 + m**2 - 3*m**2 + m**5 wrt m? -60*m**2 What is the third derivative of -9*a**5 + 290*a**4 + 10*a**2 - 290*a**4 wrt a? -540*a**2 Let p = 2 + 0. What is the second derivative of -5*x**p + 5*x**2 + 3*x - 6*x + x**2 wrt x? 2 Let w be (-25 - -7)*1/(-3). Find the third derivative of j**6 - 35*j**2 + 33*j**2 + 2*j**w wrt j. 360*j**3 Let j(y) be the first derivative of -2*y**5/5 - 2*y**2 - 5. Find the second derivative of j(f) wrt f. -24*f**2 Suppose -8*c + 5*c = -6. Find the third derivative of 4*f**4 + 2*f**2 - 2*f**4 - 6*f**c + 2*f**2 wrt f. 48*f What is the second derivative of -4 + 4 - 5*a**3 + 18*a**3 - 6*a wrt a? 78*a Let t(y) = 2*y - 9. Let f be t(6). What is the second derivative of 3*k + k**3 - k**3 - k**3 + 8*k**f wrt k? 42*k Let z(a) be the second derivative of -a - 1/21*a**7 + 0*a**5 + 0*a**3 + 0*a**6 + 0 - 1/4*a**4 + 0*a**2. What is the third derivative of z(i) wrt i? -120*i**2 Let m be ((-8)/(-14))/(4/14). Find the second derivative of -11*x - 3*x**2 + 0*x**m + x + 14*x**2 wrt x. 22 Let o(c) be the first derivative of -c**7/105 - c**4/12 - c**2 - 3. Let d(i) be the second derivative of o(i). Find the second derivative of d(s) wrt s. -24*s**2 Let w(r) be the third derivative of -r**9/168 - 7*r**5/30 + 8*r**2. What is the third derivative of w(c) wrt c? -360*c**3 Suppose 27 = 4*h - h. Find the second derivative of 128*w**2 + 2 - h*w - 119*w**2 - 2 wrt w. 18 Let f(d) = 3*d**2 - 8. Let k(o) = 2*o**2 - 7. Let s(j) = 4*f(j) - 3*k(j). What is the derivative of s(p) wrt p? 12*p Let g(i) = -3*i**2 - 11*i - 29. Let w(t) = 2*t**2 + 6*t + 14. Let d(a) = 6*g(a) + 11*w(a). Differentiate d(m) wrt m. 8*m Let f(n) be the second derivative of n**4/12 - 5*n**3/6 + 2*n. Find the second derivative of f(x) wrt x. 2 Let v(k) be the third derivative of -k**8/14 + 3*k**5/10 - 16*k**2. What is the third derivative of v(o) wrt o? -1440*o**2 Let b(y) = -y - 1. Let s(o) = 6*o + 7. Let f(w) = 5*b(w) + s(w). What is the derivative of f(p) wrt p? 1 What is the third derivative of 3*u**6 - u**2 - u**2 + 3*u**2 wrt u? 360*u**3 Let x(z) be the second derivative of 19*z**5/20 - 24*z**2 - 14*z. What is the derivative of x(l) wrt l? 57*l**2 Let s(d) be the second derivative of d**6/90 + d**4/6 + 2*d**3/3 + 3*d. Let n(r) be the second derivative of s(r). What is the first derivative of n(l) wrt l? 8*l Let o(u) = u**3 + 10*u**2 - 2*u - 20. Let v be o(-10). Suppose 4*s - 2*s = -5*k - 4, 0 = 4*s + 4*k - 16. What is the derivative of -s + v + i + 3*i + 12 wrt i? 4 Let h(w) be the second derivative of -4*w**6/15 + w**4/2 - 2*w. What is the third derivative of h(a) wrt a? -192*a Let n(q) be the first derivative of q**8/336 + q**4/8 - q**3/3 + 5. Let m(c) be the third derivative of n(c). Find the first derivative of m(w) wrt w. 20*w**3 Let l(i) = -i**3 - 4*i**2 + 5*i + 1. Let x be l(-5). Suppose 2*m - 7*m = -10. What is the first derivative of -m*g**4 - x + g**2 - g**2 wrt g? -8*g**3 Suppose 0 = -2*v + 15 + 31. Suppose -5*n = -2*y - v, 5*y - 3*y = -2*n - 2. Find the second derivative of n*b + 0 + 0 - b**2 wrt b. -2 Let m(i) = -5*i. Let w be m(-1). Let f be (2 - (3 + -2)) + w. What is the derivative of -3*s - 5 + 2*s + f wrt s? -1 Let w(z) = -8*z**2 + 5*z + 12. Let r(i) = 7*i**2 - 6*i - 11. Let t(b) = -5*r(b) - 6*w(b). Find the first derivative of t(o) wrt o. 26*o Let o(l) be the first derivative of -2*l**5/5 - 7*l**4 - l**2/2 + 14*l + 34. What is the second derivative of o(r) wrt r? -24*r**2 - 168*r What is the second derivative of -19*i + 10*i + 10*i + 11*i**4 wrt i? 132*i**2 Let b(a) be the second derivative of 0 + 1/12*a**4 - a + 1/6*a**3 + 0*a**2. Find the second derivative of b(p) wrt p. 2 Let x be 4/(1 - 0 - 0). Let m(g) = -g + 4. Let q be m(0). Differentiate q*b**4 - 2 + x - 3*b**4 with respect to b. 4*b**3 Let n(v) be the second derivative of -1/12*v**4 + 0*v**2 + 0 - v + 1/3*v**3. What is the second derivative of n(m) wrt m? -2 Suppose t - 4*t = -4*t. Let y(x) be the second derivative of -3/20*x**5 + 0 + 0*x**2 + 2*x + t*x**4 - 1/2*x**3. What is the second derivative of y(q) wrt q? -18*q Find the second derivative of 4*b**2 - 4*b**2 + 3*b**3 - 5*b + b wrt b. 18*b What is the derivative of 2 + 1 + 28 - 2323*g**2 + 2353*g**2 wrt g? 60*g Let w(h) = h**3 - 4*h**2 - 4*h - 5. Let t be w(5). Let x = t - -2. Differentiate 2*q + 0*q**4 - x*q**4 + 3 - 2*q with respect to q. -8*q**3 Find the second derivative of 7*w - 129 - 5*w**5 + 129 wrt w. -100*w**3 Let t(p) = 12*p**3 - 21*p**2 + 17*p - 17. Let j(u) = 4*u**3 - 7*u**2 + 6*u - 6. Let a(m) = -17*j(m) + 6*t(m). What is the third derivative of a(z) wrt z? 24 Let o = 7 + -4. Let x(p) = p**3 + p**2 - 2*p - 1. Let d be x(-1). What is the first derivative of -d - 2*k**2 + k**o - 2*k**2 + 4*k**2 wrt k? 3*k**2 Let j(u) be the first derivative of 0*u + 1/3*u**3 + 1 + 0*u**2 - 3/5*u**5 + 0*u**4. What is the third derivative of j(s) wrt s? -72*s Suppose -1 - 7 = -4*r. What is the second derivative of 3*p - 3*p - p - 2*p + 3*p**r wrt p? 6 Let c = -4 - -5. What is the derivative of -3*x + 5*x - 2*x - 5*x**3 + c wrt x? -15*x**2 Suppose -5*w - 4*j + 5 + 3 = 0, -3*w - 2*j = -6. What is the derivative of -w + 4*i - 4*i + i + 0*i wrt i? 1 Let s(j) = 6*j**3 + 7*j**2 - 12*j + 7. Let d(p) = -3*p**3 - 3*p**2 + 6*p - 3. Let g(f) = 7*d(f) + 3*s(f). Find the second derivative of g(w) wrt w. -18*w Let d(g) = 2 + 4 + 0*g + 3*g - 4*g. Let j be d(4). Differentiate 0*t**4 - 1 + 0*t**4 - j + t**4 wrt t. 4*t**3 Find the second derivative of 5850 + 33*i - 5850 - 47*i**3 wrt i. -282*i Find the second derivative of 1956*b**2 - 13*b - 1956*b**2 + 20*b**3 wrt b. 120*b Suppose -2*w - 12 = -20. What is the first derivative of 6*q - 4 - 6 + w wrt q? 6 Suppose 3 = m - 0*m. Suppose -3*i = 3*k - 15, -2*k + 0*i + 15 = m*i. Differentiate -f**2 + k - 1 + 0 with respect to f. -2*f Let a(t) be the third derivative of -t**8/168 + t**5/15 - 10*t**2. Find the third derivative of a(j) wrt j. -120*j**2 Let l(w) be the first derivative of 7*w**4/12 - 2*w**2 - 10*w - 2. Let v(z) be the first derivative of l(z). What is the first derivative of v(k) wrt k? 14*k Let y(m) = 49*m**2 + 3*m + 9. Let u(l) = 49*l**2 + 4*l + 9. Let s(q) = 3*u(q) - 4*y(q). Differentiate s(i) wrt i. -98*i Suppose 3 = 4*o - 17. Let x(u) be the second derivative of -u**2 + 0 + 0*u**3 + 0*u**o - 3*u + 0*u**4 + 1/15*u**6. Find the first derivative of x(l) wrt l. 8*l**3 Suppose 0 = 3*g - 4*g + 4. Let u = g + -1. Find the second derivative of w**3 - 3*w**u + 2*w + 2*w - w wrt w. -12*w Let p be 63/42*(-2)/(-18). Let k(n) be the third derivative of 0*n**5 + 0*n - n**2 + p*n**3 + 0 + 0*n**4 + 1/120*n**6. What is the derivative of k(f) wrt f? 3*f**2 Let j(k) be the first derivative of -19*k**5/5 + 3*k**3 + 21. Find the third derivative of j(d) wrt d. -456*d Let p(y) be the first derivative of 16*y**3/3 - 18*y**2 - 12. Find the second derivative of p(j) wrt j. 32 Let r(l) be the second derivative of 0 + 0*l**5 + 0*l**4 + 1/6*l**3 - 1/14*l**7 + 0*l**6 - l + 0*l**2. What is the second derivative of r(y) wrt y? -60*y**3 Let n be (-2)/(-2) - 6/(-1). Differentiate 12 - n + 2*s**2 + 3*s**2 with respect to s. 10*s Let n(z) be the first derivative of 4 - 3*z**3 + 2 + 0*z**3 - z**5 + 0*z**3. Find the third derivative of n(h) wrt h. -120*h Differentiate -9 + 6 + 19 - 22*a**3 wrt a. -66*a**2 Let q(r) be the third derivative of 0*r + 0*r**5 + r**2 + 0 - 1/210*r**7 + 0*r**3 + 1/8*r**4 + 0*r**6. What is the second derivative of q(h) wrt h? -12*h**2 Let h(p) = -5*p**2 - 9*p - 1. Let v(j) = -j**2 - 2*j. Let w(y) = -2*h(y) + 9*v(y). What is the first derivative of w(g) wrt g? 2*g Let q(f) be the third derivative of 0*f**7 + 0*f**3 + 0*f**4 + 0 + 0*f**6 - 1/10*f**5 + 2*f**2 + 5/336*f**8 + 0*f. What is the third derivative of q(o) wrt o? 300*o**2 Let j(u) be the third derivative of 7*u**4/24 + 11*u**3/6 + 2*u**2. Differentiate j(l) wrt l. 7 Suppose 12 = 3*l - 3. What is the third derivative of u**2 + 2*u**5 + 3*u**2 - 2*u**5 + 3*u**l wrt u? 180*u**2 Suppose -5*p + 3*p = 0. Let l be ((0 -
{ "pile_set_name": "DM Mathematics" }
-1135299.8 What is the distance between 400644 and -448? 401092 Calculate -36397664.82 + 0.4. -36397664.42 994262.8018 - -0.1 994262.9018 4 - -4779337594 4779337598 Sum -0.1 and -0.011098858. -0.111098858 Calculate 241 - -850.22. 1091.22 Work out 0.5 - -797776881. 797776881.5 Total of 2.389 and -1329. -1326.611 Add 0.6 and 10727595. 10727595.6 Sum -60 and -3817896. -3817956 589997958 + 2.6 589997960.6 Sum -0.2201 and 19582675. 19582674.7799 What is -0.855 plus -895812? -895812.855 Total of 257 and -241665. -241408 What is 1.5 + -0.493054709? 1.006945291 Work out -217614324.6 - 0.1. -217614324.7 Calculate -85791 + 167.4884. -85623.5116 What is -21 minus 1176049851? -1176049872 What is 11985.04922 - -0.06? 11985.10922 What is the difference between 0.2 and 859641477? 859641476.8 -79322+14.1 -79307.9 What is 67808 less than 17? -67791 Total of -211834 and -16.453. -211850.453 What is -781 less than -4358824? -4358043 -256.4+-53929 -54185.4 What is the difference between -5 and 62.6635999? 67.6635999 What is 6110 + 175.8? 6285.8 What is the distance between 24.170312 and -0.3? 24.470312 What is -259264731 take away 2? -259264733 What is -363657 less than -5? 363652 What is 0.5 take away -887613000? 887613000.5 Put together 13802.2 and 453. 14255.2 What is 4 take away 69.78902? -65.78902 Add 29 and -7186933.5. -7186904.5 What is the difference between 47363089 and 0.4? 47363088.6 What is the distance between -1 and -2036739? 2036738 Work out 0.5 - -2117755532. 2117755532.5 What is 2436579833 less than 0.1? -2436579832.9 Total of 683618.633 and -7. 683611.633 -0.5 - 38.107984 -38.607984 Work out -0.5 + -3886098. -3886098.5 Put together 157.2 and -15776.025. -15618.825 Put together 17 and -2.13112134. 14.86887866 What is the distance between 48800889.9 and 0.177? 48800889.723 What is -18460.33 - 8.1? -18468.43 Subtract -99.517 from -100. -0.483 Work out 0.3 - -7015089. 7015089.3 Add together -127 and 0.0721708. -126.9278292 Work out 1867 - 238954. -237087 Calculate 5968 - 21112. -15144 What is -4893 less than -20.17? 4872.83 Sum -0.1094501 and -25. -25.1094501 Work out -114.3 - 39.132. -153.432 What is 11 take away -3186355.6? 3186366.6 -0.156 + -3555988.9 -3555989.056 Work out 2481658.1 + -5. 2481653.1 Add together 3 and -2824457.7. -2824454.7 What is the difference between -35 and -763193? 763158 -46571734 - 0.46 -46571734.46 What is -2.1 minus 2283853263? -2283853265.1 Calculate -7748485 - -718. -7747767 Put together 69075 and 23.9. 69098.9 Add 1530.522 and 1669.3. 3199.822 Calculate -28560659 - -19. -28560640 Subtract -0.9 from 0.0047040014. 0.9047040014 What is 1 less than -221405376? -221405377 Add 0.1 and -17.9497939. -17.8497939 What is 31299 - -254.36? 31553.36 Put together -61 and -1742937. -1742998 What is 11896 - -0.0664? 11896.0664 Put together -72.9831 and -129152. -129224.9831 4053653148 - -0.12 4053653148.12 56.153909 - -0.4 56.553909 What is -7.2997 plus -20841? -20848.2997 Work out -17784800 + 0.87. -17784799.13 Work out -5425704 + -11. -5425715 -2.663 - -0.02246 -2.64054 0.6 - -2710.654243 2711.254243 3.08197435+-19 -15.91802565 Work out -32 - -0.783554. -31.216446 Sum -7 and 1229.6528. 1222.6528 Subtract 7801.4 from -0.7. -7802.1 -1.1+-585.6198 -586.7198 Work out 19475823699 - 0.4. 19475823698.6 Work out -23753 + -1771. -25524 What is 53165 plus 65380? 118545 1.09 - -5.1259247 6.2159247 What is the difference between 41969614 and 0.1? 41969613.9 What is 1588276590 - 1? 1588276589 Add together -3610 and 1696770. 1693160 What is -0.39496514549 plus -3? -3.39496514549 Work out 0 - -18948902. 18948902 Add -0.07112 and -424. -424.07112 What is -7.9 + -1436227? -1436234.9 Work out 1926.20519 + 0.1. 1926.30519 Total of -0.1749583 and 3.32. 3.1450417 Calculate 2 + -16958087. -16958085 Sum 6.4 and -0.058931574. 6.341068426 Add -80 and -591935. -592015 Sum -0.61727559 and -2.2. -2.81727559 What is -678.45931 take away -1.88? -676.57931 Work out 116124088 + 0.3. 116124088.3 Sum 8 and 746233123. 746233131 What is 0.2 + 8209012642? 8209012642.2 What is 209133.3 less than -18.6? -209151.9 What is 0.1826 less than -38728? -38728.1826 Calculate 438644 + -0.4272. 438643.5728 What is 204.472 take away 1261? -1056.528 Calculate -53799093 - 0.03. -53799093.03 What is 4 take away 1236496.3? -1236492.3 What is 38 less than 4.191305? -33.808695 Calculate 329504149 + 0.4. 329504149.4 -59611 + 702 -58909 What is 2680016 less than -0.6? -2680016.6 Calculate -102770 + -5.74. -102775.74 -0.1359448+0.018 -0.1179448 Add together -3016042793 and 0.2. -3016042792.8 What is -192279193 less than -4? 192279189 Add together 39187 and -538. 38649 What is -595814619 - -23? -595814596 Sum -0.03151261 and -250. -250.03151261 Add together -0.020772024 and 0. -0.020772024 Subtract 17516 from 16.22. -17499.78 Work out 146 + 0.73330457. 146.73330457 What is -219 take away 7967.683? -8186.683 What is 0.0363562153 take away -14? 14.0363562153 -57 - -154437477 154437420 Sum 41748 and -2093. 39655 Total of 821319 and -6. 821313 What is 0.03 + -45856.19? -45856.16 What is 4159.48 - -123? 4282.48 What is -0.4 - -6079499031? 6079499030.6 Total of 7.38146 and 1.42. 8.80146 What is -19433312 + 0.2256? -19433311.7744 -12.25+798495 798482.75 What is -11.67 - 111959946? -111959957.67 Add together -2636192 and 1.8. -2636190.2 What is the difference between 12.34 and -4.28375? 16.62375 Calculate -56643 + 0.00615. -56642.99385 What is -0.4 take away 87013.9104? -87014.3104 Add together 23424 and -1.492. 23422.508 What is -11916301144 - 0.1? -11916301144.1 Put together -555 and -10577974. -10578529 Total of -0.25 and 8364442. 8364441.75 What is 188.461 plus -124? 64.461 Work out -3170 + 78.25. -3091.75 What is the distance between -1.5 and 0.0502938099? 1.5502938099 What is -6107270 plus -0.3409? -6107270.3409 What is 0.3 less than 0.188152146? -0.111847854 What is 4 + 0.6016101? 4.6016101 What is 3 less than -17.435675181? -20.435675181 What is 85094999300 + -0.2? 85094999299.8 Subtract -5 from 715720. 715725 Work out -17477580.9 - -4. -17477576.9 -0.1 - 36553033935 -36553033935.1 What is 192737.9 plus 1.3? 192739.2 What is 24 take away -3565674? 3565698 Total of -3378847 and 0.1. -3378846.9 Total of 0.1 and 6609186340. 6609186340.1 -0.03159+-60.6 -60.63159 What is 0.0574 plus -191406? -191405.9426 Put together 0.2453 and 12.66315. 12.90845 What is -9582674.045 plus 1? -9582673.045 What is -0.5 minus 57392284? -57392284.5 Work out -744.8 - 0.15516. -744.95516 Add together 179.62287 and -0.03. 179.59287 What is the distance between -1846355.998 and 0.5? 1846356.498 What is the difference between -17436569264 and 0? 17436569264 Work out 1605 + -16.67744. 1588.32256 What is -4118 - -726533? 722415 2.07 + -10343311 -10343308.93 What is 2.9 plus 180872.6? 180875.5 -25782.851 - -0.1 -25782.751 Sum 0.04 and 0.991366882. 1.031366882 15+-68506 -68491 What is 0.1420047 plus 0.09? 0.2320047 What is -1.5 less than -4.19377? -2.69377 Add -825 and 14701702. 14700877 -331 - 453868.9 -454199.9 Put together 3297.97 and -0.15249. 3297.81751 Add -5 and 0.842602. -4.157398 -0.015426+32641 32640.984574 -288033541 + 8 -288033533 What is -1136.5148 minus -0.12? -1136.3948 Calculate 0.06 + -142571. -142570.94 What is 37 - 19394430.9? -19394393.9 What is the distance between -161928874 and -0.12? 161928873.88 2704.91526 - -0.5 2705.41526 -0.01 - -520373007 520373006.99 What is 123318747.4 take away -7? 123318754.4 Work out -438260587 - -0.1. -438260586.9 -71026309.754 - 3 -71026312.754 Subtract -28341.37 from 0.3. 28341.67 Sum 3.7 and 182.65074. 186.35074 What is -44.37 take away 1823? -1867.37 Add together -0.52995 and -4350. -4350.52995 Work out 25686 + -371. 25315 What is the difference between 5 and 68228605179? 68228605174 Subtract -0.0137 from 5.6887. 5.7024 Put together 17806436 and 0.3. 17806436.3 Put together -3212947 and 0.7. -3212946.3 What is the difference between 241078 and -0.0272? 241078.0272 Subtract -1.6464967404 from -1. 0.6464967404 What is the difference between 0.05 and 146331123? 146331122.95 -0.0534001 - 21 -21.0534001 What is 262117256 plus -7? 262117249 Sum -694763161.4 and 0.07. -694763161.33 Calculate 2.8954 + 972226. 972228.8954 Sum -1363 and 323259. 321896 What is -121802.1 - 21
{ "pile_set_name": "DM Mathematics" }
. Calculate l. -1, 0, 1 Let v be (2 - 2)/(2/(-1)). Factor -2*b + 2*b**2 + v - 2 + 2*b. 2*(b - 1)*(b + 1) Let q be 2/(-2)*8/(-4). Let i(l) = l**2 - 2*l + 2. Let u be i(q). Let u - 1 + 2*c + 0 + c**2 = 0. Calculate c. -1 Suppose -5*m + 2*s + 2*s = -17, 0 = -3*s - 9. Let i = 1 + m. Factor -4/3*g**4 + 2/3*g**5 + 4/3*g**i - 2/3*g + 0*g**3 + 0. 2*g*(g - 1)**3*(g + 1)/3 Factor 2*f**2 - 2*f**3 + 2*f**5 - 2*f**4 - 5*f**4 + 8*f**4 - 3*f**4. 2*f**2*(f - 1)**2*(f + 1) Let k(u) be the second derivative of u**6/80 + 21*u**5/160 + 3*u**4/16 - 2*u**3 - 6*u**2 - 24*u. Determine i, given that k(i) = 0. -4, -1, 2 Let g(o) = -o**2 + 5*o - 2. Suppose 3*i - 5*i = 0, i = 4*a - 16. Let c be g(a). Find l such that -l - l**c + l = 0. 0 Let g(n) be the third derivative of -n**7/840 + n**5/10 + n**4/6 - n**2. Let s(o) be the second derivative of g(o). Solve s(f) = 0 for f. -2, 2 Let s(l) = 16*l**2 - 15*l + 21. Let x(v) = -3*v**2 + 3*v - 4. Suppose 8*j - 10 = 3*j. Let b(o) = j*s(o) + 11*x(o). Suppose b(y) = 0. Calculate y. 1, 2 Solve -121/6 + 11/3*l - 1/6*l**2 = 0. 11 Let c(t) be the first derivative of t**4/18 + 4*t**3/27 - t**2/9 - 4*t/9 - 4. Find x such that c(x) = 0. -2, -1, 1 Let u(q) be the third derivative of -q**5/420 + q**4/42 - 38*q**2. Factor u(g). -g*(g - 4)/7 Suppose 2*r - 5*r = 0. Let o = r + 2. Factor -1/4 - 1/4*q**o - 1/2*q. -(q + 1)**2/4 Let r(u) = 3*u**2 + 12*u + 9. Let l be r(-3). Factor 4/9*j - 2/9*j**4 + 2/9*j**2 - 4/9*j**3 + l. -2*j*(j - 1)*(j + 1)*(j + 2)/9 Let h(z) be the third derivative of 0*z**6 - 1/120*z**5 - 2*z**2 + 0*z**3 - 1/72*z**4 + 0 + 0*z + 1/1260*z**7. Factor h(d). d*(d - 2)*(d + 1)**2/6 Let l(f) be the first derivative of -f**6/3 + 2*f**5/5 + f**4/2 - 2*f**3/3 - 39. Find a such that l(a) = 0. -1, 0, 1 Let c(n) be the third derivative of n**7/210 + n**6/40 + n**5/20 + n**4/24 - 6*n**2. Factor c(q). q*(q + 1)**3 Let p(b) be the third derivative of -b**8/1008 - b**7/630 + b**6/360 + b**5/180 - 7*b**2. What is d in p(d) = 0? -1, 0, 1 Suppose 0 = 2*n - 6 - 0. What is v in -3*v + 0*v**n + v**3 - 2 + 0*v = 0? -1, 2 Let z(l) = 5*l**3 + 2. Let y(q) be the first derivative of -81*q**4/4 - 33*q + 3. Let f(w) = -2*y(w) - 33*z(w). Factor f(r). -3*r**3 Let h(s) be the first derivative of 2*s**3/51 + 8*s**2/17 + 14*s/17 + 17. Let h(a) = 0. Calculate a. -7, -1 Let p = 526 + -1576/3. What is h in -8/9*h + 8/9 - p*h**2 = 0? -2, 2/3 Let p(z) be the third derivative of -z**8/13440 + z**7/2520 + z**6/1440 - z**5/120 + z**4/8 + 3*z**2. Let b(f) be the second derivative of p(f). Factor b(y). -(y - 2)*(y - 1)*(y + 1)/2 Let 0 - 4/7*g**4 + 4/7*g**3 + 4/7*g**2 - 4/7*g = 0. Calculate g. -1, 0, 1 Let w(u) be the first derivative of -u**5/30 + 5*u**4/84 + 2*u**3/21 - u**2 + 3. Let v(b) be the second derivative of w(b). What is i in v(i) = 0? -2/7, 1 Let p = 87 - 85. Let f(b) be the third derivative of 0 + 0*b + 1/300*b**5 + 0*b**4 + 3*b**p + 0*b**3. Suppose f(z) = 0. Calculate z. 0 Factor 0 - 2/7*f**5 + 0*f - 2/7*f**4 + 0*f**2 + 4/7*f**3. -2*f**3*(f - 1)*(f + 2)/7 Factor -3/2*z**3 - 3*z**2 + 0 - 3/2*z. -3*z*(z + 1)**2/2 Let v(s) = -2*s**5 + 2*s**4 + 3*s**3 - 1. Let k(w) = w**3 + 1. Let p(g) = 2*k(g) + 2*v(g). Factor p(z). -4*z**3*(z - 2)*(z + 1) Let s = 34/3 + -11. Let x(l) be the second derivative of 2*l + 0 + 4/9*l**3 + s*l**2 + 1/6*l**4. Suppose x(n) = 0. What is n? -1, -1/3 Let s be (-2 + 1)/((-9)/(-972)). Let p = s + 974/9. Solve 2/9 + 0*g - p*g**2 = 0. -1, 1 Find s such that -2*s**2 + 0*s - 5 + 8*s - 1 = 0. 1, 3 Suppose 4*o = 3*o + 6. Let f(a) be the third derivative of -a**2 + 0 + 0*a**4 - 3/224*a**8 + 0*a + 1/20*a**7 + 0*a**3 + 1/30*a**5 - 1/15*a**o. Factor f(k). -k**2*(k - 1)*(3*k - 2)**2/2 Let h(o) be the second derivative of -1/12*o**4 - 1/6*o**3 + 1/20*o**5 + 0*o**2 + 2*o + 0 + 1/30*o**6. Factor h(s). s*(s - 1)*(s + 1)**2 Let b(v) be the second derivative of v**7/4200 - v**6/600 + v**5/300 + v**3 + 9*v. Let l(a) be the second derivative of b(a). Factor l(z). z*(z - 2)*(z - 1)/5 Let i(n) be the first derivative of 1/9*n**2 - 2/27*n**3 + 4/9*n + 5. Factor i(f). -2*(f - 2)*(f + 1)/9 Let g = 137/333 - 7/37. Determine b, given that -g*b**2 + 0 + 0*b = 0. 0 Let n(m) be the third derivative of -1/60*m**6 + 0*m + 1/630*m**7 + 0 - 1/6*m**4 + 2/9*m**3 + 13/180*m**5 + 3*m**2. Factor n(s). (s - 2)**2*(s - 1)**2/3 Let w(o) = 6*o**2 - 2*o - 3. Let d(m) = -7*m**2 + 3*m + 4. Let f(l) = 5*d(l) + 6*w(l). Let f(q) = 0. What is q? -2, -1 Let g(a) = 3*a**4 - 3*a**3 - a**2 - a + 2. Let m(o) = 13*o**4 - 13*o**3 - 4*o**2 - 5*o + 9. Let y(b) = -18*g(b) + 4*m(b). Factor y(r). -2*r*(r - 1)**2*(r + 1) Let w be (4 - 4) + 4 + -4. Suppose 2*k + l - 4*l + 3 = 0, -2*k = 4*l - 18. Let -8/3*n**2 - 50/3*n**4 + 0*n + w + 40/3*n**k = 0. What is n? 0, 2/5 Let n(d) = d + 2. Let x be n(0). Factor 6*h + 6*h**2 - x*h**2 + 9 - 3*h**2. (h + 3)**2 Let p(m) = -m**3 + 5*m**2 + 8*m - 4. Let i be p(6). Suppose -c + 2*u = 4, 4*u = 6*c - c + i. Let 1/3*d**4 + 2/3*d**3 + 1/3*d**2 + c + 0*d = 0. What is d? -1, 0 Let s(h) be the second derivative of h**6/10 - 3*h**4/4 - h**3 - 5*h. Solve s(a) = 0 for a. -1, 0, 2 Let h(f) = -f + 7. Suppose 4*u + 3*g - 10 = 0, -2*u - 2*g = -u. Let z be h(u). Factor -1/3*t**5 - 2/3*t**2 + 1/3*t + 2/3*t**4 + 0 + 0*t**z. -t*(t - 1)**3*(t + 1)/3 Let n(u) be the second derivative of -49*u**6/40 + 819*u**5/80 - 219*u**4/8 + 47*u**3/2 - 9*u**2 + 30*u. Solve n(t) = 0. 2/7, 2, 3 Let d(m) be the first derivative of 2*m**3/21 - 2*m**2/7 - 6*m/7 + 16. Factor d(a). 2*(a - 3)*(a + 1)/7 Let x(j) be the second derivative of -j**7/147 - 4*j**6/105 - 3*j**5/35 - 2*j**4/21 - j**3/21 + 23*j. Let x(m) = 0. Calculate m. -1, 0 Factor 0*p**2 + 0*p - 5/7*p**5 + 3/7*p**4 + 2/7*p**3 + 0. -p**3*(p - 1)*(5*p + 2)/7 Factor 0*i**2 - 8/7*i**3 + 8/7*i - 4/7*i**4 + 4/7. -4*(i - 1)*(i + 1)**3/7 Let c(q) = -2*q**3 - 6*q**2 + 1. Let z be c(-3). Find j such that 3/2*j + z + 1/2*j**2 = 0. -2, -1 Let v be (6/4)/((-15)/(-20)). Let i(x) be the second derivative of 11/20*x**5 + 0*x**v - 3/14*x**7 - 1/5*x**6 - 2*x + 1/3*x**4 - 2/3*x**3 + 0. Factor i(q). -q*(q + 1)**2*(3*q - 2)**2 Let k(t) = 4*t**3 - 2*t. Let o(z) = 21*z**3 - z**2 - 9*z. Suppose f - 1 = 4*j, -28 = 2*f - 4*j + 6*j. Let i(q) = f*k(q) + 2*o(q). Let i(p) = 0. Calculate p. -2, 0, 1 Let o(z) = 4*z**4 - 2*z**2 + 4. Let y be -1 - 2 - 5*-4. Let v(x) = 11*x**4 - 5*x**2 + 11. Let b(a) = y*o(a) - 6*v(a). Factor b(m). 2*(m - 1)**2*(m + 1)**2 Let m(z) be the first derivative of 4 - 3/5*z**2 - 9/5*z**3 - 21/20*z**4 + 0*z. Suppose m(b) = 0. What is b? -1, -2/7, 0 Suppose j - 4 = 3*n + 2, 0 = -4*n. Suppose -o - j = -4*s, -s - 6 = s + 4*o. Suppose s + p**2 + 0*p - 2*p + 4*p = 0. Calculate p. -1 Let k(v) = v**3 + v**2 - v - 1. Let s(q) = 10*q**3 + 10*q**2 + 5*q + 5. Let z(y) = -15*k(y) + s(y). Factor z(f). -5*(f - 2)*(f + 1)*(f + 2) Let s = -138595/55209 - 8/1673. Let h = -24/11 - s. Find l, given that 0*l + h*l**2 - 1/3 = 0. -1, 1 Suppose c - 4 = -c. Suppose 0 = -4*l + 4*w - 8, c*l - 3*w = -0*w - 8. Factor 3*n**2 - l - 5*n - 9*n**2 - n - 2*n**3. -2*(n + 1)**3 Let k be -3 + 35/45*15. Let j = 9 - k. Determine s so that 4/3*s**4 - j*s**5 + 4/3*s**2 - 1/3*s - 2*s**3 + 0 = 0. 0, 1 Factor 4*d + 8 - 16*d + 0*d**3 + 4*d**3. 4*(d - 1)**2*(d + 2) Suppose 0 = 2*l + 2*l - 116. Factor 4*w + 2*w + 27*w**2 - l*w**2. -2*w*(w - 3) Let p = -173/24 + 63/8. Factor -2/3*a**5 - 8/3*a**4 + 0 - p*a - 4*a**3 - 8/3*a**2. -2*a*(a + 1)**4/3 Let i be (-27)/15 + (-2 + 2 - -3). Determine m so that 12/5*m**3 - 3/5*m**4 - 3/5 - i*m**5 - 6/5*m + 6/5*m**2 = 0. -1, -1/2, 1 Let i = -11 + 4. Let u(z) = -2*z**3 + 2*z**2 + 6*z + 6. Let b(q) = -3*q**3 + 5*q**2 + 12*q + 11. Let n(w) = i*u(w) + 4*b(w). Factor n(k). 2*(k + 1)**3 Let h(c) be the third derivative of c**8/84 - 68*c**7/315 + 13*c**6/30 + 4*c**5/15 - 10*c**4/9 + 6*c**2. Determine j so that h(j) = 0. -2/3, 0, 1, 10 Find v, given that 8/7*v**2 + 4/7 + 10/7*v + 2/7*v**3 = 0. -2, -1 Let w = 120 - 70. Factor 3*b**4 + 50 - 3*b**3 + 3*b - w - 3*b**2. 3*b*(b - 1)**2*(b + 1) Let r(p) be the second derivative of -p**5/90 + p**4/54 + 23*p. Factor r(g). -2*g**2*(g - 1)/9 Let s(f) be the first derivative of -f**8/3360 + f**7/840 - f**6/720 + f**3 + 3. Let h(a) be the third derivative of s(a). Solve h(j) = 0. 0, 1 Let j = -553/3 - -187. Let a(i) be the second
{ "pile_set_name": "DM Mathematics" }
prime factors of 1691. 19, 89 What are the prime factors of 110024? 2, 17, 809 List the prime factors of 1168. 2, 73 What are the prime factors of 147? 3, 7 List the prime factors of 2089. 2089 List the prime factors of 956. 2, 239 List the prime factors of 11391. 3, 3797 List the prime factors of 116. 2, 29 List the prime factors of 1194. 2, 3, 199 What are the prime factors of 64639? 37, 1747 List the prime factors of 4317. 3, 1439 List the prime factors of 16017. 3, 19, 281 What are the prime factors of 99043? 7, 14149 List the prime factors of 11501. 7, 31, 53 List the prime factors of 44821. 7, 19, 337 List the prime factors of 1317. 3, 439 What are the prime factors of 26955? 3, 5, 599 List the prime factors of 30076. 2, 73, 103 What are the prime factors of 7175? 5, 7, 41 List the prime factors of 1036. 2, 7, 37 What are the prime factors of 2274? 2, 3, 379 List the prime factors of 18444. 2, 3, 29, 53 List the prime factors of 2824. 2, 353 What are the prime factors of 2841? 3, 947 List the prime factors of 7629. 3, 2543 List the prime factors of 163124. 2, 13, 3137 List the prime factors of 2031. 3, 677 List the prime factors of 1801. 1801 List the prime factors of 18038. 2, 29, 311 List the prime factors of 20651. 107, 193 List the prime factors of 1222. 2, 13, 47 What are the prime factors of 16425? 3, 5, 73 List the prime factors of 6689. 6689 What are the prime factors of 1255? 5, 251 What are the prime factors of 19362? 2, 3, 7, 461 List the prime factors of 56767. 56767 What are the prime factors of 5871? 3, 19, 103 What are the prime factors of 4237? 19, 223 List the prime factors of 5303. 5303 What are the prime factors of 98417? 11, 23, 389 What are the prime factors of 547? 547 List the prime factors of 1056. 2, 3, 11 What are the prime factors of 987? 3, 7, 47 What are the prime factors of 4461? 3, 1487 What are the prime factors of 2815? 5, 563 What are the prime factors of 4924? 2, 1231 List the prime factors of 10377. 3, 1153 What are the prime factors of 28209? 3, 9403 List the prime factors of 179. 179 What are the prime factors of 6388? 2, 1597 List the prime factors of 817. 19, 43 What are the prime factors of 70122? 2, 3, 13, 29, 31 What are the prime factors of 840? 2, 3, 5, 7 List the prime factors of 5177. 31, 167 List the prime factors of 65. 5, 13 List the prime factors of 101273. 101273 What are the prime factors of 17771? 13, 1367 List the prime factors of 4003. 4003 What are the prime factors of 5626? 2, 29, 97 What are the prime factors of 1963? 13, 151 What are the prime factors of 3838? 2, 19, 101 What are the prime factors of 51790? 2, 5, 5179 What are the prime factors of 2559? 3, 853 What are the prime factors of 129373? 53, 2441 What are the prime factors of 1487? 1487 List the prime factors of 416. 2, 13 List the prime factors of 85820. 2, 5, 7, 613 What are the prime factors of 2591? 2591 What are the prime factors of 3877? 3877 List the prime factors of 2181. 3, 727 What are the prime factors of 891? 3, 11 What are the prime factors of 1047? 3, 349 What are the prime factors of 107028? 2, 3, 991 List the prime factors of 3382. 2, 19, 89 What are the prime factors of 2257? 37, 61 What are the prime factors of 1100? 2, 5, 11 List the prime factors of 584. 2, 73 What are the prime factors of 21866? 2, 13, 29 What are the prime factors of 19241? 71, 271 What are the prime factors of 152220? 2, 3, 5, 43, 59 List the prime factors of 18053. 7, 2579 List the prime factors of 450. 2, 3, 5 What are the prime factors of 7545? 3, 5, 503 What are the prime factors of 22436? 2, 71, 79 List the prime factors of 62298. 2, 3, 3461 List the prime factors of 3149. 47, 67 List the prime factors of 7577. 7577 What are the prime factors of 29580? 2, 3, 5, 17, 29 What are the prime factors of 760? 2, 5, 19 What are the prime factors of 7070? 2, 5, 7, 101 List the prime factors of 133. 7, 19 What are the prime factors of 18100? 2, 5, 181 What are the prime factors of 85568? 2, 7, 191 List the prime factors of 100160. 2, 5, 313 What are the prime factors of 196304? 2, 12269 What are the prime factors of 544? 2, 17 What are the prime factors of 8372? 2, 7, 13, 23 List the prime factors of 25557. 3, 7, 1217 What are the prime factors of 50046? 2, 3, 19, 439 What are the prime factors of 320? 2, 5 List the prime factors of 43872. 2, 3, 457 List the prime factors of 25370. 2, 5, 43, 59 List the prime factors of 63911. 79, 809 List the prime factors of 32967. 3, 11, 37 List the prime factors of 41132. 2, 7, 13, 113 List the prime factors of 46. 2, 23 List the prime factors of 51167. 19, 2693 List the prime factors of 3527. 3527 What are the prime factors of 3251? 3251 What are the prime factors of 502? 2, 251 What are the prime factors of 1462? 2, 17, 43 What are the prime factors of 362? 2, 181 What are the prime factors of 22109? 22109 List the prime factors of 1074. 2, 3, 179 List the prime factors of 3076. 2, 769 What are the prime factors of 69193? 69193 List the prime factors of 3087. 3, 7 What are the prime factors of 10523? 17, 619 List the prime factors of 11649. 3, 11, 353 List the prime factors of 4481. 4481 What are the prime factors of 885? 3, 5, 59 What are the prime factors of 6847? 41, 167 What are the prime factors of 857? 857 List the prime factors of 1014. 2, 3, 13 What are the prime factors of 1798? 2, 29, 31 What are the prime factors of 47151? 3, 13, 31 What are the prime factors of 22060? 2, 5, 1103 List the prime factors of 10443. 3, 59 List the prime factors of 2821. 7, 13, 31 What are the prime factors of 21463? 13, 127 List the prime factors of 1686. 2, 3, 281 List the prime factors of 2268. 2, 3, 7 What are the prime factors of 6480? 2, 3, 5 List the prime factors of 13409. 11, 23, 53 What are the prime factors of 21441? 3, 7, 1021 What are the prime factors of 3591? 3, 7, 19 What are the prime factors of 6125? 5, 7 What are the prime factors of 14488? 2, 1811 What are the prime factors of 5371? 41, 131 List the prime factors of 21301. 7, 17, 179 What are the prime factors of 93433? 233, 401 What are the prime factors of 5603? 13, 431 What are the prime factors of 42782? 2, 21391 List the prime factors of 8554. 2, 7, 13, 47 List the prime factors of 3370. 2, 5, 337 List the prime factors of 57012. 2, 3, 4751 What are the prime factors of 6019? 13, 463 What are the prime factors of 6153? 3, 7, 293 What are the prime factors of 34540? 2, 5, 11, 157 List the prime factors of 708. 2, 3, 59 What are the prime factors of 80505? 3, 5, 1789 List the prime factors of 55150. 2, 5, 1103 What are the prime factors of 8853? 3, 13, 227 What are the prime factors of 863? 863 List the prime factors of 8833. 11, 73 What are the prime factors of 882? 2, 3, 7 List the prime factors of 1010. 2, 5, 101 List the prime factors of 35758. 2, 19, 941 List the prime factors of 15199. 15199 List the prime factors of 15629. 15629 What are the prime factors of 18328? 2, 29, 79 What are the prime factors of 1336? 2, 167 List the prime factors of 4129. 4129 List the prime factors of 61394. 2, 30697 List the prime factors of 5749. 5749 List the prime factors of 1181. 1181 What are the prime factors of 55455? 3, 5, 3697 List the prime factors of 812. 2, 7, 29 What are the prime factors of 8179? 8179 What are the prime factors of 117824? 2, 7, 263 List the prime factors of 33345. 3, 5, 13, 19 List the prime factors of 31050. 2, 3, 5, 23 What are the prime factors of 1321? 1321 List the prime factors of 6558. 2, 3, 1093 List the prime factors of 135. 3, 5 List the prime factors of 92. 2, 23 What are the prime factors of 62294? 2, 31147 What are the prime factors of 4165? 5, 7, 17 What are the prime factors of 6456? 2, 3, 269 List the prime factors of 4. 2 List the prime factors of 12716. 2, 11, 17 List the prime factors of 3017. 7, 431 What are the prime factors of 5718? 2, 3, 953 List the prime factors of 21846. 2, 3, 11, 331 What are the prime factors of 22105? 5, 4421 List the prime factors of 1209. 3, 13, 31 List the prime factors of 49826. 2, 7, 3559 List the prime factors of 42016. 2, 13, 101 What are the prime factors of 48574? 2, 149, 163 List the prime factors of 880. 2, 5, 11 What are the prime factors of 6219? 3, 691
{ "pile_set_name": "DM Mathematics" }
be (-15)/3*-1*1. Let s(w) = -w**2 - 22*w - 122. Let b be s(-10). Sort f, -1, b, 3 in increasing order. b, -1, 3, f Let m = -5/433 - 821/3897. Let o = -0.2 + 0.2. Let r = o + -0.1. Put -2/3, m, r in descending order. r, m, -2/3 Suppose -5*c = -0*c - 70. Suppose 0 = -v - 3*x + 22 - 3, -2*v + c = -2*x. Suppose -4*q = 10 + v. Sort q, 1, -2 in decreasing order. 1, -2, q Suppose 0 = -3*k + 6*k. Let t = -7/797 + 1685/10361. Put 5, t, k in descending order. 5, t, k Suppose -5*n = 3*i - 51 + 66, -12*n + 25 = -5*i. Let v be (2 + 2)*2/8. Put n, 2, 3, v in increasing order. n, v, 2, 3 Let f be (2 + -1)/(3/(-15)). Let j(q) = -5*q**3 - 10*q**2 + 9*q - 3. Let z(c) = -c**3 - c**2 + c + 2. Let x(l) = -j(l) + 4*z(l). Let n be x(-7). Sort 1, f, n. f, n, 1 Let c = -12.42 - -8.52. Sort 0, -0.4, c, -2/9 in ascending order. c, -0.4, -2/9, 0 Let o = 0.4 - 0.1. Let j = 558 - 563. Put j, o, 3/8, 4 in descending order. 4, 3/8, o, j Let v(d) = 7*d - 22. Let a be v(4). Suppose -2*l - 4*h = -3*l + 9, 3*h = l - a. Sort l, 3, -2, 5 in increasing order. l, -2, 3, 5 Let u(l) = -4*l**2 + 4*l. Let f(y) = -8*y**2 + 8*y. Let p(b) = -2*f(b) + 5*u(b). Let q be p(3). Let i be (-3)/q*(0 - 6). Sort 0.5, 2/7, i. i, 2/7, 0.5 Let y = 2.4 - 0.6. Let q = 1.5 - y. Let l be 48/26 + -1*2. Put -2/15, q, l in ascending order. q, l, -2/15 Let m = 3521/5 + -704. Let n = 4 - 9. Sort 3, m, n. n, m, 3 Let c be (-6)/1*(-35)/21. Suppose -20 = 3*o - m, -m + 0*m = 3*o + c. Suppose -5 = -5*b + 3*u - u, 5*b - 5 = -5*u. Sort b, 15, o in ascending order. o, b, 15 Let k be -6 - 1/(1 + -2). Sort 18, -1, k, 0 in ascending order. k, -1, 0, 18 Let p = -26.3 - -26.1. Let f be 4/2*(7 - 5). Let q be (-4)/3 - (-1)/3. Put q, f, p in decreasing order. f, p, q Let j be (2/(-5))/1*10. Let r be (0 - 0)/(3/1). Suppose -2*n + 7*n + 10 = r. Sort n, j, 2 in descending order. 2, n, j Suppose -3*q - 2 = -2*a, -4*a - 44*q = -40*q - 24. Sort 52, a, 0, -4 in increasing order. -4, 0, a, 52 Let l = 14.7 + -14. Let v = l + -1.2. Let f be 6/(-21) + 4/(-14). Sort v, 2, f in decreasing order. 2, v, f Let x = -2.2 - -2.5. Let r = -48.4 - -49. Sort r, 4, x. x, r, 4 Let b(o) = 10*o - 171. Let a be b(17). Let v(g) = 5*g + 7. Let q be v(-3). Put 1, a, 3, q in ascending order. q, a, 1, 3 Let g = 23.979 - -0.021. Let s = g + -12. Let h = -15 + s. Put -11, 2/3, h in ascending order. -11, h, 2/3 Let r be (1 + 8*-1)*-1. Let t(v) = -v**2 + 7*v + 1. Let a be t(r). Put -2, 5, 3, a in descending order. 5, 3, a, -2 Let f(y) = y**3 - 6*y**2 + 7*y + 3. Let m be f(0). Sort m, -42, -2, 7. -42, -2, m, 7 Let c = -481/194 - 2/97. Let b(n) = n**3 - 2*n + 4. Let a be b(-2). Put c, a, -2/7, 1 in ascending order. c, -2/7, a, 1 Suppose -15*f - 60 = -9*f. Let b be (4/(-2))/(10/f) - 3. Sort -2, -32, b. -32, -2, b Let g = -72 - -81. Sort 0, g, -5, 3. -5, 0, 3, g Let c = -5.6 - -0.6. Let v = -2/3 - -16/33. Put c, -11, v in decreasing order. v, c, -11 Let a = 4.02 + -4. Let w = -0.38 - a. Let p = -9.5 + 9.9. Sort w, p, -1 in decreasing order. p, w, -1 Let g = -54 + 38. Let i be g/112 + (2 - (-25)/(-21)). Sort i, 0.5, 3. 0.5, i, 3 Let p = 32.09 - 29.09. Put 0, -5, p, -1/3 in ascending order. -5, -1/3, 0, p Suppose -5*m = 28 + 12. Let g be (-10)/m*48/12. Suppose 2 = g*t - 7*t. Sort 0, t, -3 in increasing order. -3, t, 0 Let n = -0.3 + 0.39. Put -5, 0.5, n in decreasing order. 0.5, n, -5 Let a(f) = -362*f + 3627. Let w be a(10). Suppose 0*o - 5*o + 65 = 0. Suppose -4*p + o = -g - p, -7 = -2*g - 5*p. Put 1, w, g in descending order. w, 1, g Suppose 4*q = 21 - 1. Suppose -4*o = -q - 3. Suppose l + 4 = o. Sort l, 1, 3 in increasing order. l, 1, 3 Let d = -0.05 + -1.95. Let f = 27.49 + -22.4. Let i = f - 0.09. Sort d, i, -5 in increasing order. -5, d, i Let u = -2.95 + 3.55. Sort -1/9, 4, u, 3 in decreasing order. 4, 3, u, -1/9 Let v(u) = -2*u**2 + 5*u - 2. Let x be v(2). Put -5, 24, x in decreasing order. 24, x, -5 Let d(g) = -6*g + 62. Let f be d(10). Sort -12, f, 1 in increasing order. -12, 1, f Let x = -262 - -255. Sort 1, x, -3 in descending order. 1, -3, x Let x = -2473/3 + 826. Put -14, 2/15, x in descending order. x, 2/15, -14 Suppose -2*r - 3*r + 5*t = -15, 0 = r - 3*t - 9. Let i(o) = 10*o + o**2 - 6*o + 6*o + 5. Let x be i(-9). Sort -0.1, r, x. x, -0.1, r Let j = -641 + 641. Sort j, 15, 2, 1 in increasing order. j, 1, 2, 15 Let q = -1187 + 1267. Sort 0, -1/5, 2/7, q in ascending order. -1/5, 0, 2/7, q Let c be -5 + 322/63 + 74/(-18). Put 7, 2, c in increasing order. c, 2, 7 Suppose g - 4*d + 11 = 0, -10*d = -4*g - 11*d + 24. Let t be (-66)/120 + 2/(-10). Sort t, 22, g in ascending order. t, g, 22 Let d = -5 + 4. Put 1, 9, -2, d in descending order. 9, 1, d, -2 Let k be (-10)/1*(-20 - 533/(-26)). Let b = 6 + -4. Let d(j) = -j**2 + 4*j - 3. Let r be d(b). Sort -3, k, r in increasing order. k, -3, r Let f(p) = -p**2 + 8*p + 18. Let n be f(13). Let z be (6*-2)/3 - -4. Sort z, -3, n. n, -3, z Suppose -1 = l, 2*q - 4*l = 3*q - 2. Put 2, 1, q, 0 in decreasing order. q, 2, 1, 0 Let t = 7.13 - 0.13. Let w = t + -7.4. Let h be -5 + -3 + -1 + 130/15. Put w, 4, h in descending order. 4, h, w Let j be 84/(-44) - (65/(-11) - -6). Suppose -2*d + 6*d + 12 = z, -5*d = 4*z - 6. Put j, z, -1 in descending order. z, -1, j Let l = -36 - -39. Suppose 0 = s + 2*c + 1 + 4, c - 10 = -l*s. Put 0, 3, s in ascending order. 0, 3, s Let x(y) = -y - 7. Let l be x(8). Let p = l - -11. Put -5, p, -3 in decreasing order. -3, p, -5 Let a be 6/1 + -15*110/297. Put 4, a, 0, 1/6 in ascending order. 0, 1/6, a, 4 Let p = 347 + -348. Sort p, 0, -110 in increasing order. -110, p, 0 Suppose 52*b - 420 = -4. Sort 2/5, -2, b in ascending order. -2, 2/5, b Let y(b) = -14*b - 12. Let p be y(-3). Let u be 0 - 6/3 - -14. Let x be p/8 - (-3)/u. Put 1, x, -3 in increasing order. -3, 1, x Let w = -94 - -91. Let a(f) be the third derivative of -f**4/8 - f**3/2 - 2*f**2. Let z be a(3). Sort 3, z, w. z, w, 3 Let n = -4.7 - 0.3. Suppose -6*i - d = -4*i - 3, -4*d - 16 = i. Let k be ((-2)/12)/((-1)/i*2). Sort n, 3/2, k in decreasing order. 3/2, k, n Suppose 36 = 201*r - 189*r. Put 22, r, 6, 5 in decreasing order. 22, 6, 5, r Suppose -v = -5*v. Let c(g) = -4*g**3 - 2*g**2 + 3*g - 2. Let u be c(1). Let m be (-4)/u*35/14 - 0. Sort m, -4, v in decreasing order. m, v, -4 Let v = 193/6 + -33. Sort -0.08, 4, v, 2/5 in ascending order. v, -0.08, 2/5, 4 Suppose -1 = -5*o + 9. Suppose -13*b - 20*b - 99 = 0. Let s = -3 + 2. Sort o, b, s. b, s, o Let m be -1*2/4*-2. Let l(y) = -y**3 - 4*y**2 - 27. Let r be l(-5). Let w = m + r. Sort w, -5, -3 in ascending order. -5, -3, w Let b be (-2 - -3) + 1 - 0. Let r = -815 - -818. Sort b, r, 1 in descending order. r, b, 1 Suppose 150*p = 154*p - 12. Sort p, -18, -4 in descending order. p, -4, -18 Let s(q) = -q**3 - 2*q**2 - 6*q + 5. Let m be s(-2). Sort 4, 3, 0, m in decreasing order. m, 4, 3, 0 Suppose 5*y + 0*y = 45. Suppose 0 = -5*t + y + 31. Put -4, 5, t in descending order. t, 5, -4 Suppose 0*z + 77 = -7*z. Put -2, 2/5, z, 0.04 in decreasing order. 2/5, 0.04, -2, z Suppose 24 = -92*n + 116. Sort -5/3, -2/281, n, -3 in decreasing order. n, -2/281, -5/3, -3 Let a = 48 + -41. Let m(y) = y**3 + 7*y**2 + 4*y - 8. Let s be m(-6). Put s, a, 5 in decreasing order. a, 5, s Suppose -9*n + 4*n + 5*h = 20, 0 = 2*n - 5*h + 5. Suppose 0 = -4*l - x - 1 + 2, -4*l = 2*x + 2. Let o = -31 + 34. Put n, l, o in descending order. o, l, n Let m be 84/(-15) - (-38)/(-95). Put 5, -64, m in descending order. 5, m, -64 Suppose 7*a - 3*a = 3*t - 31, -35 = -3*t + 2*a. Let u be (-3298)/(-306) - ((-8)/(-18))/(-2). Let q = t - u. Sort q, 5, -5 in descending order. 5, q, -5 Let b(z) = -z**3 + 7*z**2 + z - 4. Let v be b(7). Suppose -v*m = m. Let c be -5*3/(30/8). Put c, -3, m in decreasing order. m, -3, c Let n be ((-1)/30)/(2/8). Suppose 3*p = 3*z - 3, -9 = 3*z + 2*p + 3. Let r = z - -9/4. Sort 3, n, r. n, r, 3 Suppose -4 = -2*n - 0, 0 = 2*c - 3*n + 14. Let y be (c/7)/((-90)/63). Put -3, -5, 4, y in decreasing order. 4, y, -3, -5 Let l(v) = v + 3. Suppose -5*i = 2*x, 3*i + 0*x = 3*x - 21. Let n be l(i). Let t = 95 + -100. Put n, t, 2 in decreasing order. 2, n, t Let l = -1153/9 - -128. Let s = -0.11 + -0.19. Sort 4, 6, s, l in ascending order. s, l, 4, 6 Let b = 332 - 331. Put b, 3, 5, 30 in increasing order. b, 3, 5
{ "pile_set_name": "DM Mathematics" }
9 What is the smallest common multiple of 36 and 4? 36 Find the common denominator of 7/18 and 23/160. 1440 Find the common denominator of -101/114 and -59/342. 342 Calculate the lowest common multiple of 108 and 234. 1404 Calculate the common denominator of -32/13 and 22/273. 273 Calculate the common denominator of -67/768 and -145/576. 2304 Find the common denominator of -20/3 and -39/76. 228 Calculate the smallest common multiple of 27 and 216. 216 What is the smallest common multiple of 30 and 981? 9810 What is the common denominator of 29/2 and -33/10? 10 What is the common denominator of -37/1122 and -101/374? 1122 Find the common denominator of 49/5 and -46/3. 15 Find the common denominator of 1/2808 and -29/189. 19656 Calculate the common denominator of 11/4 and 123/710. 1420 What is the common denominator of 143/18 and 81/1148? 10332 Find the common denominator of 17/16650 and 61/27. 49950 What is the common denominator of -63/208 and -123/40? 1040 What is the smallest common multiple of 5070 and 1183? 35490 What is the lowest common multiple of 144 and 54? 432 Calculate the lowest common multiple of 3432 and 176. 6864 What is the smallest common multiple of 2784 and 22? 30624 Find the common denominator of -25/6 and -31/285. 570 Calculate the lowest common multiple of 172 and 40. 1720 What is the least common multiple of 1600 and 1760? 17600 Calculate the common denominator of 37/16 and -167/2562. 20496 What is the common denominator of 77/48 and -131/24? 48 Calculate the least common multiple of 2 and 128. 128 Find the common denominator of -111/22 and 47/22. 22 What is the smallest common multiple of 32 and 513? 16416 What is the common denominator of 95/542 and -32? 542 Find the common denominator of 7/60 and -127/2064. 10320 Find the common denominator of -13/12 and -13/639. 2556 What is the common denominator of 139/90 and 69/40? 360 Calculate the common denominator of 97/36 and -5/18. 36 Calculate the common denominator of -74/2091 and -32/153. 6273 Find the common denominator of -7/218 and -18/5. 1090 Calculate the common denominator of -121/60 and -7/78. 780 What is the lowest common multiple of 297 and 198? 594 Find the common denominator of -121/1160 and 37/5800. 5800 What is the least common multiple of 2 and 20? 20 What is the common denominator of -91/225 and -32/5? 225 Calculate the lowest common multiple of 1385 and 2493. 12465 What is the common denominator of -39/1715 and -109/2205? 15435 What is the common denominator of 139/120 and 31/12? 120 Calculate the least common multiple of 99 and 969. 31977 Find the common denominator of 29/8 and 181/7260. 14520 Calculate the common denominator of -61/45 and 65/99. 495 What is the smallest common multiple of 858 and 26? 858 What is the lowest common multiple of 988 and 308? 76076 Find the common denominator of 7/12 and -1/258. 516 Calculate the common denominator of 101/744 and -32/15. 3720 Calculate the smallest common multiple of 231 and 28. 924 What is the smallest common multiple of 512 and 40? 2560 What is the common denominator of -95/8 and -37/1976? 1976 Find the common denominator of 22/413 and -89/118. 826 What is the smallest common multiple of 924 and 420? 4620 What is the smallest common multiple of 94 and 22? 1034 What is the common denominator of 107/18 and 19/4? 36 Calculate the lowest common multiple of 3 and 23. 69 Calculate the smallest common multiple of 1562 and 710. 7810 What is the lowest common multiple of 66 and 2112? 2112 What is the lowest common multiple of 84 and 132? 924 What is the smallest common multiple of 117 and 195? 585 Calculate the smallest common multiple of 25 and 23. 575 Find the common denominator of 9/5 and -37/15. 15 What is the smallest common multiple of 15 and 105? 105 Calculate the least common multiple of 606 and 2. 606 Find the common denominator of 101/720 and 8/9. 720 What is the smallest common multiple of 50 and 5? 50 Find the common denominator of 33/50 and -3/80. 400 Find the common denominator of 137/114 and -9/209. 1254 What is the smallest common multiple of 2990 and 143? 32890 Calculate the common denominator of -45/118 and 93/4366. 4366 Find the common denominator of -29/6 and -71/6. 6 Calculate the common denominator of 64/1565 and -19/40. 12520 Find the common denominator of -50/1253 and -16/35. 6265 Calculate the least common multiple of 120 and 110. 1320 What is the common denominator of -41/528 and -5/1408? 4224 What is the lowest common multiple of 482 and 16? 3856 What is the common denominator of 81/2 and 31/25? 50 Find the common denominator of -33/38 and -36/41. 1558 Calculate the common denominator of -61/80 and 97/102. 4080 What is the common denominator of -139/24 and -39/1420? 8520 Calculate the smallest common multiple of 16064 and 5020. 80320 What is the smallest common multiple of 36 and 784? 7056 Calculate the common denominator of 34/27 and 139/72. 216 What is the least common multiple of 290 and 25? 1450 What is the common denominator of 2/55 and -37/88? 440 Calculate the common denominator of 50 and -83/1106. 1106 What is the least common multiple of 72 and 1683? 13464 What is the common denominator of -58/189 and -41/27? 189 Find the common denominator of -67/660 and 13/2. 660 Find the common denominator of -39/350 and 143/630. 3150 Calculate the smallest common multiple of 194 and 1164. 1164 Calculate the smallest common multiple of 3839 and 1047. 11517 What is the smallest common multiple of 4 and 232? 232 Find the common denominator of 125/162 and -85/36. 324 What is the least common multiple of 12 and 510? 1020 What is the common denominator of 22/39 and 38/3? 39 What is the smallest common multiple of 3620 and 40? 7240 Find the common denominator of 7/40 and -109/10. 40 What is the least common multiple of 36 and 12? 36 Calculate the common denominator of -56/785 and -71/1570. 1570 Calculate the common denominator of -57/52 and -25/312. 312 Calculate the common denominator of 131/7668 and 85/108. 7668 Find the common denominator of 22/9 and -71/4844. 43596 Calculate the least common multiple of 144 and 96. 288 What is the common denominator of -39/2 and 23/27838? 27838 Calculate the lowest common multiple of 357 and 27. 3213 What is the common denominator of -6/35 and 55/203? 1015 Calculate the common denominator of 47/36 and -65/1316. 11844 What is the smallest common multiple of 2028 and 10? 10140 What is the common denominator of 73/936 and -76/1521? 12168 Find the common denominator of -83/1551 and 29/2. 3102 Calculate the smallest common multiple of 8 and 56. 56 What is the least common multiple of 45 and 245? 2205 Calculate the smallest common multiple of 6 and 809. 4854 What is the lowest common multiple of 7475 and 78? 44850 Calculate the common denominator of -6/1037 and -25/119. 7259 What is the least common multiple of 48 and 2340? 9360 Calculate the common denominator of 79/2600 and -7/12. 7800 What is the smallest common multiple of 672 and 16? 672 What is the least common multiple of 6 and 1? 6 What is the smallest common multiple of 1248 and 624? 1248 Calculate the least common multiple of 120 and 21. 840 Calculate the common denominator of -157/312 and -79/312. 312 What is the lowest common multiple of 8 and 12012? 24024 Calculate the lowest common multiple of 106 and 24. 1272 Find the common denominator of 37/18 and 109/102. 306 Calculate the common denominator of 131/90 and -149/1062. 5310 What is the least common multiple of 114 and 12? 228 Calculate the least common multiple of 22 and 336. 3696 What is the lowest common multiple of 117 and 324? 4212 Calculate the common denominator of -17/5 and -56/15. 15 What is the lowest common multiple of 2268 and 90? 11340 What is the smallest common multiple of 24 and 39? 312 Calculate the common denominator of 163/7650 and 67/6885. 68850 Calculate the lowest common multiple of 36 and 2496. 7488 What is the least common multiple of 99 and 44? 396 What is the common denominator of -93/16 and 29/27? 432 Calculate the common denominator of 65/3 and 79/98. 294 Calculate the least common multiple of 1006 and 5533. 11066 Calculate the smallest common multiple of 88 and 88. 88 Calculate the common denominator of -69/16 and 19/1304
{ "pile_set_name": "DM Mathematics" }
22*m**3/5 - 10632*m**2/5 - 936*m = 0. What is m? -26, -15, -2/5, 0, 3 Factor 85*i**2 - 934*i - 11. (i - 11)*(85*i + 1) Find y such that 3*y**3 - 3621*y**2 + 167172*y - 319884 = 0. 2, 46, 1159 Factor -5*r**3 + 1040*r**2 + 14435*r - 15470. -5*(r - 221)*(r - 1)*(r + 14) Suppose 3*l**4/8 + 207*l**3/2 - 12951*l**2/8 + 5262*l + 6984 = 0. Calculate l. -291, -1, 8 What is q in -2*q**5/11 + 94*q**4/11 - 1394*q**3/11 + 710*q**2 - 10700*q/11 - 20000/11 = 0? -1, 5, 8, 10, 25 Factor 2*d**2 - 854456*d + 91261881992. 2*(d - 213614)**2 Find d such that -d**5/3 + 2032*d**4/3 - 24042*d**3 + 179892*d**2 - 503235*d + 485028 = 0. 3, 27, 1996 Factor 2*i**3/7 + 796638*i**2/7 + 3186528*i/7 + 3186520/7. 2*(i + 2)**2*(i + 398315)/7 Factor 2*q**2 + 186*q + 2080. 2*(q + 13)*(q + 80) Suppose -1172*d**4/7 - 5812*d**3/7 - 7964*d**2/7 - 3180*d/7 + 144/7 = 0. What is d? -3, -1, 12/293 Find h, given that -2*h**5/7 - 66*h**4/7 - 796*h**3/7 - 4000*h**2/7 - 768*h + 10240/7 = 0. -10, -8, 1 Factor 676*c**2 + 114504*c + 4848804. 4*(13*c + 1101)**2 Determine y so that 69*y**2/5 - 2112*y/5 + 2496 = 0. 8, 520/23 Solve -2*c**3 - 204*c**2 + 1296*c = 0 for c. -108, 0, 6 Let 2*a**2/7 + 340*a/7 + 414 = 0. Calculate a. -161, -9 Factor 2*h**2/7 - 568*h/7 + 40128/7. 2*(h - 152)*(h - 132)/7 Solve -2*t**2 + 3581*t/2 - 895/2 = 0. 1/4, 895 Solve 1805*r**2 + 1775550*r + 436645125 = 0. -9345/19 Factor -4855*q**2 - 5110*q - 255. -5*(q + 1)*(971*q + 51) Factor -v**2 - 8214*v - 16867449. -(v + 4107)**2 Factor j**2/2 - 4989*j/2 + 12460. (j - 4984)*(j - 5)/2 Solve 4*w**5 + 60*w**4 + 76*w**3 - 396*w**2 - 368*w + 624 = 0 for w. -13, -3, -2, 1, 2 Suppose 2*t**3/5 + 6220*t**2 = 0. Calculate t. -15550, 0 Find u, given that 114*u**2 - 14242*u - 1000 = 0. -4/57, 125 Determine h, given that 4*h**5 + 1412*h**4 + 8348*h**3 + 6844*h**2 - 33456*h - 49968 = 0. -347, -3, -2, 2 Find w, given that 4*w**5/9 - 11*w**4/3 + 4*w**3 - 7*w**2/9 = 0. 0, 1/4, 1, 7 Factor s**3 + 1358*s**2 + 1357*s. s*(s + 1)*(s + 1357) Factor u**2/5 - 79*u/5 - 10872/5. (u - 151)*(u + 72)/5 Factor 3448449*z**2/2 - 25998*z + 98. (1857*z - 14)**2/2 Determine n, given that -3*n**2 - 15657*n + 109746 = 0. -5226, 7 Suppose 15*i**5/4 - 2201*i**4/4 - 5517*i**3/4 + 67513*i**2/4 - 23421*i/2 + 2086 = 0. What is i? -7, 1/3, 2/5, 4, 149 Find r, given that -r**5 + 21*r**4 - 17*r**3 - 61*r**2 + 18*r + 40 = 0. -1, 1, 2, 20 Solve j**5 - 3557*j**4 - 10679*j**3 - 3563*j**2 + 10678*j + 7120 = 0. -2, -1, 1, 3560 Solve 2*p**2/3 + 298*p/3 - 38512/3 = 0 for p. -232, 83 Solve 2*o**4/13 + 178*o**3/13 - 71296*o**2/13 + 21768*o - 282240/13 = 0 for o. -240, 2, 147 Find t such that t**3/4 - 2564*t**2 + 30761*t/4 - 10253/2 = 0. 1, 2, 10253 Factor l**3/5 - 1172*l**2/5 + 10465*l - 595654/5. (l - 1126)*(l - 23)**2/5 Factor z**2 + 93693*z + 187382. (z + 2)*(z + 93691) Factor 635*r**4 - 645*r**3 + 10*r**2. 5*r**2*(r - 1)*(127*r - 2) Solve 15*m**3/2 + 760145*m**2/2 - 633470*m + 253390 = 0. -50678, 2/3, 1 Solve -6*c**5 - 357*c**4 - 510*c**3 + 705*c**2 + 516*c - 348 = 0 for c. -58, -2, -1, 1/2, 1 Factor 2*l**2/5 - 300324*l/5 + 120128. 2*(l - 150160)*(l - 2)/5 Factor 3*r**2 + 49662*r - 99336. 3*(r - 2)*(r + 16556) Solve j**2/6 + 613*j + 1127307/2 = 0 for j. -1839 Solve 2*r**5/3 - 76*r**4/3 - 184*r**3 + 944*r**2/3 + 5120*r/3 - 2816 = 0 for r. -6, -4, 2, 44 Find m such that -m**2/11 - 24444*m/11 - 149377284/11 = 0. -12222 Factor 2*k**3 + 9454*k**2 + 75528*k + 113256. 2*(k + 2)*(k + 6)*(k + 4719) Factor n**3 + 22037*n**2 + 22034*n - 44072. (n - 1)*(n + 2)*(n + 22036) Let k**3 - 3277*k**2 - 233065*k - 4100075 = 0. What is k? -35, 3347 Factor -4*v**3 - 808*v**2 + 72912*v - 142560. -4*(v - 66)*(v - 2)*(v + 270) Find x, given that -20*x**3 - 11404*x**2 - 58780*x - 11300 = 0. -565, -5, -1/5 Determine h so that -2*h**3/5 + 1270*h**2 + 12708*h/5 = 0. -2, 0, 3177 Factor 2*y**2/15 + 393904*y/15 + 393902/15. 2*(y + 1)*(y + 196951)/15 Find n, given that 21*n**4/8 - 123075*n**3/8 - 39567*n**2/2 - 8793*n/2 = 0. -1, -2/7, 0, 5862 Find m, given that 2*m**3/5 - 156546*m**2/5 - 469656*m/5 = 0. -3, 0, 78276 Find n such that -2*n**4 + 118*n**3 - 1772*n**2 + 5328*n = 0. 0, 4, 18, 37 Solve -h**4 + 13*h**3 + 106*h**2 + 152*h = 0 for h. -4, -2, 0, 19 Suppose 61009*k**3/2 + 1343186*k**2 + 43480*k + 352 = 0. What is k? -44, -4/247 Suppose -p**3/2 - 189601*p**2 + 758410*p - 758412 = 0. What is p? -379206, 2 Find k, given that 5*k**5 + 26115*k**4 + 33587010*k**3 - 1337752330*k**2 + 15848341545*k - 50012613225 = 0. -2631, 5, 17 Let -8*j**4/7 + 1090*j**3/7 + 4208*j**2/7 - 160*j = 0. What is j? -4, 0, 1/4, 140 What is n in 3*n**2/4 - 1581*n/4 - 14715/2 = 0? -18, 545 Solve f**2 + 60903*f + 121802 = 0 for f. -60901, -2 Suppose 2*i**5 - 3144*i**4 + 1299996*i**3 - 50731568*i**2 + 604859490*i - 1690129800 = 0. What is i? 4, 19, 765 Factor q**2 - 29*q - 782. (q - 46)*(q + 17) Factor -2*u**2 + 1978*u + 236952. -2*(u - 1097)*(u + 108) Find t such that 15*t**4 + 4254*t**3 - 100869*t**2 + 595056*t - 222156 = 0. -306, 2/5, 11 Factor t**3/4 - 1003*t**2/2 + 8003*t/4 + 5005/2. (t - 2002)*(t - 5)*(t + 1)/4 Solve -3*i**2/4 - 604698*i - 121886557068 = 0 for i. -403132 Let 6*s**5 - 329*s**4 + 257*s**3 + 700*s**2 + 108*s = 0. What is s? -1, -1/6, 0, 2, 54 Factor 5*c**4 + 10920*c**3 + 5896440*c**2 - 71940960*c + 217008720. 5*(c - 6)**2*(c + 1098)**2 Factor 2*p**2/5 - 2684*p/5 + 126714/5. 2*(p - 1293)*(p - 49)/5 Suppose 3*c**4/5 + 294*c**3/5 - 13197*c**2/5 - 1405356*c/5 = 0. What is c? -83, 0, 68 Find b, given that 3*b**2 - 218736*b + 218733 = 0. 1, 72911 Find p such that -96040*p**5 - 126910*p**4 - 60025*p**3 - 11690*p**2 - 620*p + 40 = 0. -1/2, -2/7, 1/28 What is u in 9*u**2/5 + 2011*u/5 + 2886/5 = 0? -222, -13/9 Factor 4*m**2/3 - 674992*m/3 + 28475887504/3. 4*(m - 84374)**2/3 Let -2*r**2/17 + 14816*r/17 - 383864/17 = 0. Calculate r. 26, 7382 Suppose 5*y**3 - 4875*y**2 + 1195560*y - 3542940 = 0. What is y? 3, 486 Solve -15*b**4 - 4281*b**3 - 30900*b**2 - 11676*b = 0. -278, -7, -2/5, 0 Factor 2*t**4/15 - 122*t**3/15 - 50*t**2/3 - 42*t/5. 2*t*(t - 63)*(t + 1)**2/15 Find m such that -m**3 + 362*m**2 - 721*m + 360 = 0. 1, 360 Factor 3*k**2 + 1758*k - 99528. 3*(k - 52)*(k + 638) Factor -u**2 + 92688*u - 2147766336. -(u - 46344)**2 Factor 38*r**2/7 + 271*r/7 + 5. (r + 7)*(38*r + 5)/7 Factor -4*s**2 + 10901512*s - 7427685242884. -4*(s - 1362689)**2 Suppose 4*i**5 - 1192*i**4 + 86328*i**3 + 378128*i**2 - 1010492*i + 547224 = 0. Calculate i. -6, 1, 151 Factor 4019*q**5/5 - 6431*q**4 + 64328*q**3/5 - 48*q**2/5. q**2*(q - 4)**2*(4019*q - 3)/5 Solve -t**5 - 343*t**4 + 1092*t**3 + 18684*t**2 = 0 for t. -346, -6, 0, 9 Suppose 40*f**5 - 4156*f**4 - 139856*f**3 - 280184*f**2 - 157624*f - 13100 = 0. Calculate f. -25, -1, -1/10, 131 Find n such that 5*n**2 - 5050*n + 45045 = 0. 9, 1001 Find a such that 4*a**4/7 + 4416*a**3/7 + 1286524*a**2/7 + 36906816*a/7 + 35624704/7 = 0. -536, -31, -1 Let 226*w**5/7 + 5168*w**4/7 - 11960*w**3/7 + 2612*w**2/7 + 8854*w/7 - 700 = 0. Calculate w. -25, -98/113, 1 What is s in 2*s**2 - 2976*s - 396306 = 0? -123, 1611 Factor -c**2 - 244604*c + 244605. -(c - 1)*(c + 244605) Determine s, given that s**3/3 + 554*s**2/3 + 12945*s - 40506 = 0. -471, -86, 3 Let b**2/5 - 183064*b/5 - 366132/5 = 0. What is b? -2, 183066 Factor 2*s**2/5 - 3372*s/5 - 3382. 2*(s - 1691)*(s + 5)/5 Factor 2*t**5/9 + 6502*t**4/9 + 2345770*t**3/3 + 2526324850*t**2/9 - 10218313000*t/9. 2*t*(t - 4)*(t + 1085)**3/9 Find c such that -5*c**2 - 3030*c + 305360 = 0. -694, 88 Find j, given that -5*j**3 - 16470*j**2 - 13530045*j + 54384020 = 0. -1649, 4 Determine s, given that -3*s**2/2 + 510557*s/4 + 85093/4 = 0. -1/6, 85093 What is m in -3*m**3 + 205095*m**2 - 205086*m - 410184 = 0? -1, 2, 68364 Find j such that 418*j**5 - 18387*j**4 + 201674*j**3 + 20807*j**2 - 202092*j - 2420 = 0. -1, -5/418, 1, 22 Factor -3*y**3/2 + 120*y**2 - 1734*y - 3960. -3*(y - 60)*(y - 22)*(y + 2)/2 Solve 12*g**2/7 + 21477*g/7 + 16101/7 = 0 for g. -1789, -3/4 Suppose -4*g**4 + 204*g**3 - 3360*g**2 + 22784*g - 55296 = 0. Calculate g. 8, 27 Factor -b**2 - 195*b + 796. -(b - 4)*(b + 199) Factor 4*x**2/3 - 11300*x/3. 4*x*(x - 2825)/3 Solve -15*i**4 - 2364*i**3 - 10527*i**2 + 4590*i = 0 for i. -153, -5, 0, 2/5 Factor j**2/4 - 465*j/4 + 1359. (j - 453)*(j - 12)/4 Let -l**4/5 - 15*l**3 - 3
{ "pile_set_name": "DM Mathematics" }
- 12*z + 2. Let v(h) = 2*a(h) + f(h). What is the third derivative of v(x) wrt x? 270 Let x(y) = -7347*y**3 + 5 + 7347*y**3 - 19*y**4 - 4*y. Let h(f) = -19*f**4 - 3*f + 6. Let z(p) = 4*h(p) - 3*x(p). What is the first derivative of z(a) wrt a? -76*a**3 Suppose -5*a - 2 = -h, -4*h + h + 6 = -2*a. What is the third derivative of 14*n**h + 3*n**5 - 3*n**2 + 5*n**5 wrt n? 480*n**2 Let m(f) = -4*f**2 + 22*f + 355. Let w(l) = -l**2 + 8*l + 119. Let k(x) = 3*m(x) - 8*w(x). Differentiate k(p) with respect to p. -8*p + 2 Let m(r) be the first derivative of 5*r**2 - 42 + 12/5*r**5 + 0*r + 0*r**3 + 3/4*r**4. What is the second derivative of m(a) wrt a? 144*a**2 + 18*a Let u(h) = -h**2 - h + 3. Let k(m) = 723*m**3 - 5*m**2 - 5*m + 172. Let i(f) = k(f) - 5*u(f). Find the first derivative of i(q) wrt q. 2169*q**2 Let l be (8/10)/((-2)/(-20)). Let n = l + -4. What is the second derivative of 2*u - 7*u**n + u**4 + 0*u**4 wrt u? -72*u**2 Let x be 3/3*(-5)/(-1). Suppose 8*b = x*b + 6. Differentiate 12 + 4*k**2 - 10*k**b - 6 wrt k. -12*k Suppose 18*m - 95 = -23. Let t = 14 - 10. What is the derivative of -t*s + m*s + 1 - 6 + 6*s**2 wrt s? 12*s Let v(a) = -a**2 - 7*a + 7. Let h be v(-6). Differentiate -h - 23*u**2 + 18*u**2 - 7*u**2 - 2 wrt u. -24*u Find the second derivative of -61*z - 138*z + 1328*z**4 - 1205*z**4 wrt z. 1476*z**2 Let t(w) be the second derivative of 61*w**6/30 + 271*w**3/6 + 52*w - 1. Find the second derivative of t(r) wrt r. 732*r**2 Let p(c) = 45*c + 6. Let w(d) = -2*d + 1. Let z(k) = -p(k) + 18*w(k). Differentiate z(t) wrt t. -81 Let j(h) be the third derivative of 11*h**5/12 - h**4/12 - 24*h**2. What is the second derivative of j(y) wrt y? 110 Let i be 1/(-4)*40/((-8)/2). Let q(m) be the first derivative of i*m**2 + 2*m - 2. Find the first derivative of q(o) wrt o. 5 Suppose -198 = -0*s - 9*s. Find the second derivative of 10*o**3 + 9*o**3 + s*o - o**3 wrt o. 108*o Suppose -2*y + 5 = -y. Suppose 5*b - 19 = 1. Let l(h) = -9*h**2 + 4*h - 12. Let x(p) = 10*p**2 - 5*p + 13. Let o(v) = b*x(v) + y*l(v). Differentiate o(z) wrt z. -10*z Find the second derivative of -118*f**2 - 92*f**2 - 159*f**2 + 219*f + 17*f**2 wrt f. -704 What is the second derivative of -50*g**2 + 4 - 44*g**2 - 26*g + 34*g - 22*g wrt g? -188 Let n(h) be the third derivative of -3/4*h**4 - 1/15*h**6 + 0*h**3 + 0 + 19*h**2 + 0*h + 0*h**5. What is the second derivative of n(w) wrt w? -48*w Let g(f) be the second derivative of 5*f**3/2 - 6*f. Let u be g(2). Find the second derivative of -33*j**2 - 2*j - 2*j + u*j**2 wrt j. -6 Let x(z) be the third derivative of 0*z**3 - 1/10*z**5 + 0*z**6 + 0*z + 0*z**4 - 8/105*z**7 + 0 - 6*z**2. What is the third derivative of x(i) wrt i? -384*i Suppose -8 = 20*q - 24*q. Suppose v = 13 + q. Find the first derivative of 4*d - v + 3 + 15*d - 9*d wrt d. 10 Let t be (-3)/(-5) - (-231)/(-35). Let f = t + 11. What is the third derivative of -l**2 + 2*l**5 - 3*l**f - 3*l**5 + 0*l**2 wrt l? -240*l**2 Suppose -14*i = -12*i - 2. Let a(j) = j**3 + j - 1. Let b(f) = -19*f**4 + 2*f**3 + 2*f - 24. Let c(q) = i*b(q) - 2*a(q). Differentiate c(r) with respect to r. -76*r**3 Let s(x) = x**3 + 3*x**2 - 4 + 2 - 5 - 6*x + 1. Let q be s(-4). Find the third derivative of u**6 + u**2 - u**2 + u**q + 7*u**2 wrt u. 120*u**3 Let x(s) be the third derivative of -7*s**6/180 - 5*s**4/12 - s**3/6 - s**2. Let w(j) be the first derivative of x(j). What is the derivative of w(p) wrt p? -28*p Suppose 1 = -2*x + 2*f + 11, 2*f - 18 = -5*x. Let c = -75 - -77. Find the third derivative of -x*v**2 + 2*v**c + 2*v**5 - 3*v**5 wrt v. -60*v**2 Let q(d) = -6*d**3 + 8*d**2 - 6*d - 51. Let u(v) = 11*v**3 - 14*v**2 + 10*v + 103. Let g(h) = -7*q(h) - 4*u(h). Differentiate g(n) with respect to n. -6*n**2 + 2 Find the second derivative of -4*g**4 - 340772 - 228*g + 16*g**5 + 340772 wrt g. 320*g**3 - 48*g**2 Suppose -58 + 4 = n. Let u be n/(-24) - (-3)/4. Find the second derivative of 3*w - 4*w - 8*w - 2*w**3 - u*w**3 wrt w. -30*w Let s = 2 - -1. Let l = 5 + -3. Differentiate 2*x**l + 0*x**2 + 3*x**2 + 3 - s*x**2 wrt x. 4*x Let j(x) be the first derivative of -x**7/7 - x**5/5 + 13*x**3 - 60. Find the third derivative of j(d) wrt d. -120*d**3 - 24*d Suppose -3*m = -4*c - 2, -2*c + 0*m = -m. Find the third derivative of -c + 1 + 8*w**2 + 24*w**4 - 23*w**4 wrt w. 24*w Let h(y) = -10*y**2 - 4*y - 1. Let d(v) = -2*v - 1. Let c(m) = -4*d(m) + h(m). Find the second derivative of c(j) wrt j. -20 Let x(u) be the first derivative of 0*u + 0*u**2 - 11/3*u**3 + 4 - 1/4*u**4. Find the third derivative of x(j) wrt j. -6 Let a(d) be the third derivative of -d**8/48 - d**6/30 - 16*d**5/15 + 63*d**2. Find the third derivative of a(g) wrt g. -420*g**2 - 24 Let n(d) be the first derivative of 0*d**5 + 0*d**2 - 1/2*d**6 + 0*d**4 + 13 + 16/3*d**3 + 0*d. Find the third derivative of n(w) wrt w. -180*w**2 Let s(w) be the first derivative of -29*w**9/504 - 7*w**5/10 + w**2 + 13. Let g(b) be the second derivative of s(b). What is the third derivative of g(j) wrt j? -3480*j**3 Let l(t) = 4*t**3 + 133*t**2 - 2*t - 293. Let j(i) = -5*i**3 - 133*i**2 + 3*i + 292. Let z(h) = -2*j(h) - 3*l(h). Differentiate z(g) with respect to g. -6*g**2 - 266*g Let c(o) = -o**3 - 6*o**2 + 6. Let p be c(-7). What is the second derivative of 22*a**2 - 21*a + p*a - 20*a - a wrt a? 44 Let u = 1514 - -803. Find the second derivative of -u*k + 25*k**2 + 2293*k - 10*k**2 wrt k. 30 Let w(c) be the first derivative of 799*c**2/2 + 701*c - 14. What is the first derivative of w(g) wrt g? 799 Let k = -194 - -372. Find the first derivative of -157*z**4 + k*z**4 + 0 + 1 wrt z. 84*z**3 Let h(d) = -6*d + 2. Let f(w) = 60*w - 15. Let v(m) = -30*m + 7. Let q(g) = 3*f(g) + 5*v(g). Let c(j) = 33*h(j) + 6*q(j). Differentiate c(y) with respect to y. -18 Let j(k) be the third derivative of k**4/24 + 3*k**3/2 - k**2. Let z be j(-7). What is the first derivative of 3 + 1 - 4*a**2 - 2*a**z + 0*a**2 wrt a? -12*a Let c(d) = 71*d**2 + 12*d + 248. Let t(o) = -73*o**2 - 10*o - 249. Let a(h) = 5*c(h) + 6*t(h). Find the first derivative of a(f) wrt f. -166*f Suppose 1000 = 3*o - 425. Find the third derivative of -o*y + 15*y**2 + 475*y + 13*y**3 wrt y. 78 Let j(p) be the third derivative of 6*p**6/5 - 67*p**5/30 - 2*p**2 - 13*p. What is the third derivative of j(g) wrt g? 864 Find the second derivative of -3300 - 2*b**2 - b**2 + 2*b**2 + 50*b**3 + 3302 + 40*b wrt b. 300*b - 2 Suppose -11*a + 45 = -32. Let r = 7 + -3. What is the first derivative of 11*y**4 + 8*y**4 - a*y**r + 2 wrt y? 48*y**3 Find the third derivative of -37*p**2 - 40*p**2 - 86*p**2 + 23*p**2 - 10*p**2 - 215*p**6 wrt p. -25800*p**3 Find the second derivative of 2*b**2 + 26*b + 13*b**2 - 7*b**3 - 13*b + 11 + 10*b**2 wrt b. -42*b + 50 Let o be 4 + 1 + -3 - 0. What is the third derivative of 22*n**2 - 11*n**o - 18*n**3 - 11*n**2 - 8*n**2 wrt n? -108 What is the third derivative of -95*v**2 + v**4 - 2*v**4 - 6*v**4 - 793*v**3 + 796*v**3 wrt v? -168*v + 18 Suppose -9*h = 26 - 7118. Find the third derivative of -h + 10*v**2 + 789 - 54*v**5 + 5*v - 5*v wrt v. -3240*v**2 Let n(i) be the third derivative of 63*i**4/8 + 64*i**3/3 + 151*i**2 + 1. Differentiate n(z) wrt z. 189 What is the third derivative of -3*i**2 - 3*i**2 - 2*i**2 - 79*i**3 + 9*i**2 + 19*i wrt i? -474 Suppose 0 = -0*t - 5*t + 60. What is the derivative of -14 - t*r**2 + 0*r**2 - 5 + 35 wrt r? -24*r Let r = 972 - 969. Let p(s) be the third derivative of -2/3*s**r - 1/12*s**6 + 0*s + 0*s**5 + 0*s**4 + 0 - 11*s**2. Differentiate p(j) wrt j. -30*j**2 Let p = 13 - -27. Find the second derivative of p*t - 17*t + 43*t**2 - 57*t**2 wrt t. -28 Let h be 8/6 + (-42)/63. Let z(o) be the first derivative of 0*o + h*o**3 + 5/4*o**4 + 5 + 0*o**2. What is the third derivative of z(r) wrt r? 30 Let y = 331 + -327. Let p(z) be the first derivative of 3/4*z**y + 2 + 0*z**2 - 3*z + 0*z**3. What is the first derivative of p(j) wrt j? 9*j**2 Let t(a) = a**2 + 6. Let l be t(0). Let p = 8 - l. Find the third derivative of 2*w**5 + 5*w**5 + 4*w**p - w**2 wrt w. 420*w**2 Let c(p) = -p. Suppose -5*o = 2 - 17. Let a(n) = -7*n - o*n**4 + 3*n**4 - 3*n**4. Let k(w) = -2*a(w) + 10*c(w). What is the second derivative of k(d) wrt d? 72*d**2 Let r(t) be the second derivative of 1
{ "pile_set_name": "DM Mathematics" }
15 What is the x'th term of 188543474, 377086947, 565630420, 754173893? 188543473*x + 1 What is the r'th term of 399661, 799373, 1199085? 399712*r - 51 What is the u'th term of 15774350, 63097407, 141969170, 252389639? 15774353*u**2 - 2*u - 1 What is the s'th term of 372109, 372073, 372037, 372001? -36*s + 372145 What is the u'th term of 4209, 10307, 16419, 22551, 28709, 34899, 41127, 47399? u**3 + u**2 + 6088*u - 1881 What is the r'th term of 218934, 875545, 1969898, 3501993? 218871*r**2 - 2*r + 65 What is the a'th term of -1744, -4501, -8236, -12949, -18640, -25309? -489*a**2 - 1290*a + 35 What is the z'th term of 282025, 564474, 846923, 1129372, 1411821? 282449*z - 424 What is the u'th term of -9, -497, -1475, -2955, -4949, -7469? -2*u**3 - 233*u**2 + 225*u + 1 What is the x'th term of -8760, -9091, -9428, -9771, -10120, -10475? -3*x**2 - 322*x - 8435 What is the m'th term of -656639529, -656639531, -656639533, -656639535, -656639537? -2*m - 656639527 What is the j'th term of -1993811, -1993812, -1993809, -1993802? 2*j**2 - 7*j - 1993806 What is the h'th term of -1318659, -1318716, -1318771, -1318824? h**2 - 60*h - 1318600 What is the p'th term of -2027, -2129, -2327, -2621, -3011? -48*p**2 + 42*p - 2021 What is the c'th term of -84820709, -84820710, -84820711, -84820712? -c - 84820708 What is the a'th term of 2562, 4923, 7284, 9645, 12006? 2361*a + 201 What is the r'th term of -13316369, -26632741, -39949113, -53265485? -13316372*r + 3 What is the o'th term of -20155953, -20155964, -20155981, -20156004, -20156033, -20156068? -3*o**2 - 2*o - 20155948 What is the r'th term of 2391383, 2391387, 2391399, 2391425, 2391471, 2391543, 2391647? r**3 - 2*r**2 + 3*r + 2391381 What is the y'th term of 12927, 27106, 41285? 14179*y - 1252 What is the c'th term of -27787024, -55574046, -83361068, -111148090, -138935112? -27787022*c - 2 What is the d'th term of -9744, -14155, -18566, -22977? -4411*d - 5333 What is the q'th term of 601271, 602186, 603099, 604010, 604919, 605826, 606731? -q**2 + 918*q + 600354 What is the q'th term of -6701, -13259, -19527, -25361, -30617, -35151, -38819? 24*q**3 + q**2 - 6729*q + 3 What is the k'th term of 55061926, 110123844, 165185762, 220247680? 55061918*k + 8 What is the q'th term of -2816, -7036, -12552, -19358, -27448, -36816, -47456, -59362? q**3 - 654*q**2 - 2265*q + 102 What is the h'th term of -172125, -688398, -1548853, -2753490, -4302309? -172091*h**2 - 34 What is the t'th term of 92146, 92482, 92818? 336*t + 91810 What is the w'th term of 10620, 13482, 16344, 19206? 2862*w + 7758 What is the w'th term of 588398, 588424, 588452, 588482? w**2 + 23*w + 588374 What is the x'th term of -22219357, -88877390, -199974101, -355509484, -555483533, -799896242, -1088747605, -1422037616? x**3 - 22219345*x**2 - 5*x - 8 What is the a'th term of 10950, 21843, 32726, 43599, 54462, 65315, 76158? -5*a**2 + 10908*a + 47 What is the k'th term of -16372, -64990, -146014, -259444, -405280, -583522, -794170? -16203*k**2 - 9*k - 160 What is the y'th term of -23251, -23253, -23255? -2*y - 23249 What is the t'th term of -36728, -73511, -110294, -147077, -183860, -220643? -36783*t + 55 What is the d'th term of 3053, 6033, 8923, 11711, 14385, 16933, 19343? -2*d**3 - 33*d**2 + 3093*d - 5 What is the x'th term of 4421, 2271, 121, -2029, -4179? -2150*x + 6571 What is the o'th term of -4102, -31043, -103728, -245029, -477818, -824967? -3812*o**3 - 257*o - 33 What is the x'th term of -259391, -259720, -260047, -260372? x**2 - 332*x - 259060 What is the o'th term of 637759, 1276110, 1914461, 2552812, 3191163? 638351*o - 592 What is the d'th term of 92494, 178699, 264904? 86205*d + 6289 What is the t'th term of -26054, -51578, -76572, -101036, -124970, -148374, -171248? 265*t**2 - 26319*t What is the y'th term of -261013, -1044047, -2349115, -4176223, -6525377? -y**3 - 261011*y**2 + 6*y - 7 What is the r'th term of -30454, -123205, -277792, -494215, -772474, -1112569? -30918*r**2 + 3*r + 461 What is the n'th term of 3601, 3418, 3235, 3052, 2869? -183*n + 3784 What is the a'th term of 1144, 2258, 3038, 3316, 2924, 1694? -28*a**3 + a**2 + 1307*a - 136 What is the l'th term of -458630, -458683, -458816, -459065, -459466, -460055, -460868? -6*l**3 - 4*l**2 + l - 458621 What is the r'th term of 802277, 1604584, 2406891, 3209198, 4011505? 802307*r - 30 What is the b'th term of -1591919, -3183808, -4775669, -6367502? 14*b**2 - 1591931*b - 2 What is the z'th term of -208357, -208197, -208039, -207883, -207729? -z**2 + 163*z - 208519 What is the n'th term of -9359, -37424, -84181, -149612, -233699, -336424, -457769, -597716? 3*n**3 - 9364*n**2 + 6*n - 4 What is the x'th term of 189700292, 189700294, 189700294, 189700292, 189700288, 189700282? -x**2 + 5*x + 189700288 What is the v'th term of -11022, -6884, -2746, 1392, 5530? 4138*v - 15160 What is the n'th term of 5897, 6119, 6341? 222*n + 5675 What is the t'th term of 1977, 6706, 14617, 25734, 40081, 57682? 4*t**3 + 1567*t**2 + 406 What is the a'th term of 938590, 1877190, 2815790, 3754390, 4692990? 938600*a - 10 What is the s'th term of -979, 655, 2289, 3923? 1634*s - 2613 What is the i'th term of -189052, -1512446, -5104520, -12099616, -23632076, -40836242, -64846456? -189057*i**3 + 2*i**2 - i + 4 What is the m'th term of 25309, 25182, 25053, 24922? -m**2 - 124*m + 25434 What is the a'th term of -7041141, -7041143, -7041145, -7041147, -7041149? -2*a - 7041139 What is the b'th term of -65110, -65087, -65072, -65065, -65066, -65075, -65092? -4*b**2 + 35*b - 65141 What is the f'th term of -64, 949, 2882, 5729, 9484? -f**3 + 466*f**2 - 378*f - 151 What is the k'th term of -133294, -266734, -400174, -533614? -133440*k + 146 What is the t'th term of 130247, 520933, 1172069, 2083655, 3255691, 4688177? 130225*t**2 + 11*t + 11 What is the a'th term of -4498632, -8997255, -13495878? -4498623*a - 9 What is the u'th term of -11668157, -23336315, -35004473, -46672631, -58340789, -70008947? -11668158*u + 1 What is the s'th term of -8312, -9686, -11060, -12434? -1374*s - 6938 What is the l'th term of 820, 2996, 6624, 11704, 18236? 726*l**2 - 2*l + 96 What is the a'th term of 681153, 681055, 680895, 680679, 680413, 680103? a**3 - 37*a**2 + 6*a + 681183 What is the y'th term of -10077924, -10077933, -10077942, -10077951, -10077960, -10077969? -9*y - 10077915 What is the z'th term of -298, -1257, -2812, -4939, -7614? 4*z**3 - 322*z**2 - 21*z + 41 What is the x'th term of 1701, 5395, 11115, 18861, 28633? 1013*x**2 + 655*x + 33 What is the a'th term of -9714, -47908, -111564, -200682, -315262? -12731*a**2 - a + 3018 What is the a'th term of 17, -1179, -3167, -5947, -9519, -13883? -396*a**2 - 8*a + 421 What is the s'th term of -46231, -184924, -416079, -739702, -1155799, -1664376, -2265439? -s**3 - 46225*s**2 - 11*s + 6 What is the h'th term of 15387880, 30775762, 46163644? 15387882*h - 2 What is the r'th term of -6750, -26973, -60698, -107943, -168726, -243065, -330978? -3*r**3 - 6733*r**2 - 3*r - 11 What is the t'th term of 28756, 57555, 86348, 115135, 143916, 172691? -3*t**2 + 28808*t - 49 What is the l'th term of 206697, 413373, 620049, 826725, 1033401, 1240077? 206676*l + 21 What is the i'th term of 9295, 19395, 29481, 39547, 49587, 59595? -i**3 - i**2 + 10110*i - 813 What is the j'th term of 4966885, 9933787, 14900689? 4966902*j - 17 What is the q'th term of 158688, 159522, 160356, 161190, 162024? 834*q + 157854 What is the f'th term of 797386, 797382, 797378, 797374, 797370, 797366? -4*f + 797390 What is the k'th term of 356994, 356993, 357008, 357051, 357134? 2*k**3 - 4*k**2 - 3*k + 356999 What is the b'th term of 1354, 3886, 8102, 14002? 842*b**2 + 6*b + 506 What is the h'th term of 85361, 170654, 255947? 85293*h + 68 What is the t'th term of 138713, 139903, 141083, 142247, 143389, 144503, 145583? -t**3 + t**2 + 1194*t + 137519 What is the f'th term of 1096037992, 1096037990, 1096037988? -2*f + 1096037994 What is the u'th term of -568761, -568845, -568923, -568995, -569061, -569121, -569175? 3*u**2 - 93*u - 568671 What is the p'th term of -109388701, -109388702, -109388703? -p - 109388700 What is the z'th term of -2811744, -5623476, -8435208, -11246940, -14058672, -16870404? -2811732*z - 12 What is the h'th t
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from kttkktj? 9/35 What is prob of picking 2 v when two letters picked without replacement from mzmmvmv? 1/21 What is prob of picking 1 x and 1 a when two letters picked without replacement from yaayaaxxxxyaxax? 12/35 Calculate prob of picking 2 d, 1 x, and 1 e when four letters picked without replacement from yxiyexdyxdddyxdxxyy. 5/323 What is prob of picking 4 w when four letters picked without replacement from wwwwwwwww? 1 Two letters picked without replacement from {w: 1, z: 1, t: 1}. Give prob of picking 1 z and 1 w. 1/3 Calculate prob of picking 2 x and 1 c when three letters picked without replacement from ccxkcxxkxkkk. 9/110 What is prob of picking 1 d and 3 z when four letters picked without replacement from {a: 2, z: 6, d: 4}? 16/99 What is prob of picking 2 p and 2 n when four letters picked without replacement from tcspnppccn? 1/70 What is prob of picking 2 z when two letters picked without replacement from {r: 3, z: 2}? 1/10 Calculate prob of picking 2 i when two letters picked without replacement from {w: 1, z: 1, i: 2}. 1/6 What is prob of picking 1 y and 1 w when two letters picked without replacement from {y: 6, w: 1, s: 1, m: 1, b: 4}? 1/13 Calculate prob of picking 1 m and 2 k when three letters picked without replacement from prnnnrvrnnnmnmnkmnk. 1/323 Two letters picked without replacement from {q: 1, i: 1, p: 1}. Give prob of picking 1 p and 1 i. 1/3 What is prob of picking 3 d when three letters picked without replacement from {d: 10}? 1 What is prob of picking 1 j and 1 o when two letters picked without replacement from hojtjwoaoaoaaaj? 4/35 What is prob of picking 1 f and 1 g when two letters picked without replacement from {s: 1, g: 5, f: 1, v: 3}? 1/9 Four letters picked without replacement from jljlosyyjjjsp. Give prob of picking 1 o, 1 y, and 2 s. 2/715 Two letters picked without replacement from djtjjuu. What is prob of picking 1 d and 1 u? 2/21 What is prob of picking 2 r and 1 i when three letters picked without replacement from {i: 7, e: 1, r: 2, m: 5, p: 1}? 1/80 What is prob of picking 1 j and 3 g when four letters picked without replacement from {g: 4, o: 2, j: 1}? 4/35 What is prob of picking 1 x, 1 e, and 2 j when four letters picked without replacement from xaaajexjax? 1/70 Four letters picked without replacement from wdwffdwfffeeefz. Give prob of picking 2 f and 2 d. 1/91 Two letters picked without replacement from snjnnjinas. Give prob of picking 1 a and 1 n. 4/45 What is prob of picking 1 e and 1 r when two letters picked without replacement from {s: 2, x: 2, h: 1, k: 1, r: 1, e: 1}? 1/28 What is prob of picking 2 q and 1 a when three letters picked without replacement from aqqyqaa? 9/35 Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {o: 11, s: 3, m: 1, f: 3, n: 1, k: 1}. 3/190 What is prob of picking 1 c, 1 y, and 1 e when three letters picked without replacement from {o: 1, e: 1, f: 1, c: 1, y: 1}? 1/10 Two letters picked without replacement from sttsatsxdqsx. Give prob of picking 1 x and 1 a. 1/33 Two letters picked without replacement from nzzlonkoa. Give prob of picking 1 n and 1 z. 1/9 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from aaffftffafftffaffaf. 10/171 Calculate prob of picking 3 q when three letters picked without replacement from {q: 7, k: 12}. 35/969 Three letters picked without replacement from vxxppxpxvp. Give prob of picking 2 x and 1 v. 1/10 Two letters picked without replacement from xgmmmgxxngxnnm. Give prob of picking 2 g. 3/91 Four letters picked without replacement from bbbbbfbbbbf. Give prob of picking 2 f and 2 b. 6/55 Four letters picked without replacement from {h: 2, n: 5, x: 1, b: 2, p: 5, l: 1}. What is prob of picking 1 h, 2 p, and 1 b? 2/91 Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {e: 1, f: 3, z: 6, c: 4}. 24/91 What is prob of picking 1 q and 1 t when two letters picked without replacement from {i: 2, q: 1, d: 1, w: 1, t: 2}? 2/21 Calculate prob of picking 2 w and 1 m when three letters picked without replacement from {w: 4, m: 3, x: 3, h: 5, q: 3}. 3/136 Four letters picked without replacement from {j: 5, y: 8, r: 3}. Give prob of picking 4 j. 1/364 Three letters picked without replacement from iiziizv. Give prob of picking 1 v and 2 z. 1/35 Calculate prob of picking 3 q when three letters picked without replacement from qmqwqmu. 1/35 What is prob of picking 2 k when two letters picked without replacement from {v: 1, a: 1, k: 2, w: 5}? 1/36 Calculate prob of picking 3 l when three letters picked without replacement from {o: 1, l: 1, r: 1}. 0 What is prob of picking 2 a and 2 b when four letters picked without replacement from abaaabaaaaabbb? 360/1001 Calculate prob of picking 2 x and 2 y when four letters picked without replacement from yyyyyxxyyxyyyyy. 66/455 Three letters picked without replacement from {u: 2, w: 6}. What is prob of picking 3 w? 5/14 Two letters picked without replacement from {b: 4, j: 16}. Give prob of picking 1 j and 1 b. 32/95 What is prob of picking 3 h when three letters picked without replacement from {h: 3, z: 3, k: 7, c: 2}? 1/455 What is prob of picking 1 d and 1 r when two letters picked without replacement from rrdddrddddddddd? 12/35 Four letters picked without replacement from {f: 7, o: 3}. Give prob of picking 4 f. 1/6 Four letters picked without replacement from omodddmmmmd. Give prob of picking 3 m and 1 d. 4/33 Calculate prob of picking 2 d and 1 y when three letters picked without replacement from {m: 1, y: 2, i: 3, d: 3, c: 1, z: 3}. 3/143 Calculate prob of picking 1 f and 2 y when three letters picked without replacement from {y: 12, f: 3, a: 1}. 99/280 Four letters picked without replacement from {x: 4, m: 10}. What is prob of picking 4 x? 1/1001 Four letters picked without replacement from qrororoqo. Give prob of picking 3 r and 1 o. 2/63 What is prob of picking 2 c and 1 b when three letters picked without replacement from jdcjttjcjtcfdcfbtcc? 5/323 Two letters picked without replacement from kubfkkkkkbkppukpkkb. What is prob of picking 1 b and 1 p? 1/19 What is prob of picking 1 i and 2 d when three letters picked without replacement from {d: 2, r: 2, c: 7, i: 1}? 1/220 Calculate prob of picking 1 f and 2 k when three letters picked without replacement from zffkozzfkzffkkkkfk. 21/136 Three letters picked without replacement from wkkkkwwk. Give prob of picking 1 w and 2 k. 15/28 What is prob of picking 1 j and 1 x when two letters picked without replacement from {y: 2, x: 4, j: 1, s: 4}? 4/55 Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {i: 2, o: 5, m: 3}. 1/6 What is prob of picking 2 m when two letters picked without replacement from {m: 6, a: 4, j: 3, n: 2, f: 1}? 1/8 Two letters picked without replacement from kzzeddczddeez. What is prob of picking 1 z and 1 k? 2/39 What is prob of picking 1 p, 1 x, and 1 h when three letters picked without replacement from {h: 3, p: 8, b: 4, c: 1, x: 3}? 24/323 What is prob of picking 1 g and 1 j when two letters picked without replacement from gejbg? 1/5 Three letters picked without replacement from {m: 16, d: 4}. Give prob of picking 3 m. 28/57 Two letters picked without replacement from babxdxxxoxb. Give prob of picking 1 a and 1 x. 1/11 Four letters picked without replacement from ttutuuttttttttttttst. Give prob of picking 1 u, 2 t, and 1 s. 24/323 Calculate prob of picking 3 l when three letters picked without replacement from avvtavavkabltabalaaa. 0 What is prob of picking 1 q, 1 u, and 1 f when three letters picked without replacement from mfuuuuumuqmquq? 3/52 What is prob of picking 1 v and 2 d when three letters picked without replacement from vdkdkdkhkd? 1/20 Calculate prob of picking 1 g, 1 s, and 1 z when three letters picked without replacement from {z: 3, a: 7, g: 1, l: 4, d: 1, s: 2}. 1/136 Three letters picked without replacement from kkffkkf. What is prob of picking 1 f and 2 k? 18/35 Four letters picked without replacement from jjjjjjjjjjrrjjrjrjj. Give prob of picking 4 r. 1/3876 Two letters picked without replacement from vxxvxvv. Give prob of picking 1 x and 1 v. 4/
{ "pile_set_name": "DM Mathematics" }
- 2. What is 21*o(c) + 2*r(c)? c**3 - 40*c**2 Let p(v) = 73 + 74 - 284 + 72 - 5*v - 9*v**2 + 59. Let m(y) = 14*y**2 - 2*y + 15 + 10*y - 6. Determine -5*m(t) - 8*p(t). 2*t**2 + 3 Let v(p) = 10 - 39 + 44*p - 55*p**3 + 14 + 15 - 44*p**2. Let b(g) = 5*g**2 - g - 10*g**2 + g**3 + 4*g**2 + 2*g**2. Calculate -44*b(z) - v(z). 11*z**3 Let a(z) = z. Let h(d) = -d - 10. Suppose 154300 - 154368 = 34*x. Give x*a(i) + h(i). -3*i - 10 Let q be 4/(260/39) - (-69)/(-15). Let s(d) = d**2 + 2. Let j(m) be the third derivative of m**5/15 + 7*m**3/6 - 4*m**2. Give q*j(n) + 14*s(n). -2*n**2 Let l(m) = -m**2. Let d = -3795 + 3794. Let g(b) = 2*b**2 + 10*b + 2. Calculate d*g(p) - 4*l(p). 2*p**2 - 10*p - 2 Let r(a) = 16*a**3 - 17*a**2 - 17*a + 14. Let f(w) be the second derivative of -w**5/4 + w**4/2 + w**3 - 5*w**2/2 - 976*w. What is -17*f(l) - 6*r(l)? -11*l**3 + 1 Suppose 0 = -76*i + 73*i - 1905. Let l = i + 642. Let u(p) = 5*p - 6. Let y(t) = 2*t + 11. Let a(r) = r + 1. Let z(h) = 6*a(h) - y(h). What is l*z(v) - 6*u(v)? -2*v + 1 Let l(v) = -6*v**3 - 9*v**2 - 14*v + 58. Let d(m) = -m**3 - m**2 - m + 3. What is 8*d(b) - l(b)? -2*b**3 + b**2 + 6*b - 34 Let s(y) = -6*y + 3. Suppose -44*t + 45*t - 157 = 0. Let g = t + -160. Let z(l) = -17*l + 8. What is g*z(h) + 8*s(h)? 3*h Let c(j) = 289*j + 151*j - 174 + 174. Let u(o) = 9*o. Determine -2*c(x) + 99*u(x). 11*x Let l(i) = -171*i - 4989. Let w(c) = 107*c + 3326. What is -5*l(n) - 8*w(n)? -n - 1663 Let v(s) = 2*s**2 - s - 4. Let x = 36 + -180. Let j = x - -145. Let t(o) = 1. What is j*v(u) + 4*t(u)? 2*u**2 - u Let p(k) = 6*k**3 + 17*k**2 + 11*k + 29. Let y(q) = q**3 + 3*q**2 + 2*q + 5. Let l = -80 + 74. Determine l*p(c) + 34*y(c). -2*c**3 + 2*c - 4 Let x(n) = 10*n - 46. Let y(i) = 9*i - 50. Calculate -5*x(c) + 4*y(c). -14*c + 30 Let l(h) = -159*h**2 + h**3 - 2*h**3 - 1 - 145*h**2 + 305*h**2. Let y(j) = -j**3 - 5*j**2 + 4. What is 2*l(v) + y(v)? -3*v**3 - 3*v**2 + 2 Let u(p) be the first derivative of -11*p**3/3 - 5*p**2/2 + 5*p + 811. Let q = 21 - 17. Let o(l) = 0 - q + 5*l + 10*l**2 - l. Calculate 5*o(t) + 4*u(t). 6*t**2 Let u(j) = -11*j**2 - 5*j + 5. Let c(n) = -2 + 6*n**2 - n + n + 2*n. Let z(r) = r**3 + 48*r**2 - 60*r + 1998. Let x be z(-50). Calculate x*u(w) - 5*c(w). -8*w**2 Suppose h - 39 = 4*h. Let m(l) = -9 + 8*l**2 + 8*l**2 + 10*l**2 - 5*l - 11*l**2 - 2*l. Let t(r) = 7*r**2 - 3*r - 4. Determine h*t(u) + 6*m(u). -u**2 - 3*u - 2 Let p(u) = 86*u + 1934. Let j(n) = -47*n - 968. Give 11*j(k) + 6*p(k). -k + 956 Let b(n) = 6*n**3 - 3*n**2 + 10*n - 4. Let c(q) = -11*q**3 + 5*q**2 - 20*q + 7. Let k be -3*((-6)/(-276)*4 + (-75)/69). Determine k*c(f) + 5*b(f). -3*f**3 - 10*f + 1 Let i(l) = -60*l**2 + 8*l + 63. Let t(j) = 60*j**2 - 7*j - 56. Give -6*i(d) - 7*t(d). -60*d**2 + d + 14 Let i(t) = -2*t**3 - 787*t**2 - 6*t - 2. Let d(c) = 2*c**3 + 788*c**2 + 9*c + 3. Determine -2*d(h) - 3*i(h). 2*h**3 + 785*h**2 Let d(f) = f**3 + 1. Suppose 289*u + 151*u + 228 + 212 = 0. Let c(i) = 7*i**3 + 3*i + 10. Let m be 6/33 + (-64)/(-11). What is m*d(y) + u*c(y)? -y**3 - 3*y - 4 Let l(r) = 190524 + 13*r**2 - 15*r**2 - 190531 + 5*r**2 + 4*r. Let f = 22 + -20. Let i(p) = -p**2 - 2*p + 3. Determine f*l(a) + 5*i(a). a**2 - 2*a + 1 Let n(u) = -u**3 - u**2 + u + 1. Let z = 18462 + -18463. Let w(m) = -5*m - 6 + m**3 + 35*m**2 + 8*m**3 - 30*m**2. Calculate z*w(l) - 6*n(l). -3*l**3 + l**2 - l Let v(p) = 48146 + 51*p - 52*p - 48146. Let q(s) = -s**2 + 20*s - 1. Determine q(b) + 4*v(b). -b**2 + 16*b - 1 Let q(g) = 219*g + 3. Let c(k) = -223*k - 3. Give 5*c(d) + 6*q(d). 199*d + 3 Let o(t) = t**2 - 2. Suppose -j - 5*a - 13 = -0*a, 4*a = -5*j - 2. Suppose 2*x - 8 = -j*x. Let z(g) = 0*g**x + 0*g**2 - g**2. Calculate -o(c) - 2*z(c). c**2 + 2 Let v(t) = 294*t**2 + 2*t + 24. Let j(z) = -2*z**2 + z + 10. Calculate 4*j(i) - v(i). -302*i**2 + 2*i + 16 Let o(y) = 2*y**2 - 6. Let m(w) = -10 + 0*w**2 + 18 - 6*w**2 + 0*w**2. Let x(a) = -26*a**2 + 33. Let t(g) = -18*m(g) + 4*x(g). Calculate -5*o(p) + 3*t(p). 2*p**2 - 6 Let n(c) = 289 - 937 + 3*c**3 + 356 + c**2 + 294 - 3*c. Let y(t) = 10*t**3 + 4*t**2 - 8*t + 7. Give 7*n(w) - 2*y(w). w**3 - w**2 - 5*w Let r(w) = -3*w + 16. Let s be (476/(-51) - 10/(-1))/(1/9). Let u(x) = -3*x + 16. Calculate s*r(p) - 7*u(p). 3*p - 16 Let l(f) = 182*f**3 + 14*f**2 - 117*f + 42. Let r(b) = 121*b**3 + 10*b**2 - 78*b + 30. Determine 5*l(c) - 7*r(c). 63*c**3 - 39*c Let j be (-1155)/(-120) + -11 + 6/16. Let y(k) = -k - 1. Let u(d) = -4*d - 3. Determine j*u(p) + 6*y(p). -2*p - 3 Let t(d) = 15*d + 384. Let u(f) = 30*f + 763. What is 7*t(b) - 4*u(b)? -15*b - 364 Let i(r) = 31*r**2 + 7*r + 7. Let p(j) = 88*j**2 + 20*j + 20. Let w(c) = -17*i(c) + 6*p(c). Let y(s) = 7*s**2 + 11*s + 11. Calculate -44*w(b) + 4*y(b). -16*b**2 Let b be (-6)/(-24) + (-10)/8. Let w(n) = -n**2 - n. Let t(i) = -2*i + 3 - 2*i - 1 + i. Let a be t(1). Let v(k) = -k**3 + k**2 + k. Determine a*w(m) + b*v(m). m**3 Let m(z) = -z - 187 + 22 + 164. Let q(v) = 3*v + 6. Determine -5*m(d) - q(d). 2*d - 1 Let k(y) = -y**2 - y - 1. Let z(a) = a**3 + 11*a**2 + 11*a + 11. Suppose -4*r - 3*p = 711, -3*p + 882 = 9*r - 14*r. Let q = r - -173. Give q*z(s) - 44*k(s). -4*s**3 Let y be 10/4*6/5. Let a(x) = 4*x - 7. Let t = 636381 + -636376. Let f(w) = -14*w + 12. Let q(p) = 5*p - 4. Let h(z) = 3*f(z) + 8*q(z). What is t*h(m) + y*a(m)? 2*m - 1 Let v(h) = 3*h + 4. Suppose -5*x + 89*x = -19*x - 206. Let j(u) = -2*u - 2. Calculate x*v(c) - 5*j(c). 4*c + 2 Let g(r) = -119*r**2 - 12*r + 29. Let p(b) = 79*b**2 + 8*b - 21. Determine -5*g(j) - 7*p(j). 42*j**2 + 4*j + 2 Let m(a) be the second derivative of -a**3/6 + 17*a**2/2 - 3141*a + 2. Let k(n) = 3*n - 51. Calculate -4*k(o) - 14*m(o). 2*o - 34 Let k be -138 + 126 - (-7 - -1). Let n(s) be the second derivative of s**3/6 + s. Let j(w) = w**3 - 2*w**2 - 6*w + 2. Determine k*n(a) - j(a). -a**3 + 2*a**2 - 2 Let m(q) = 4*q**2 - 9*q + 4. Let l = 136 + -78. Let b(u) = 0 + 50*u + 3 + 3*u**2 - l*u. Let i(v) = -v**2 - 5*v + 6. Let c be i(-5). Determine c*b(k) - 5*m(k). -2*k**2 - 3*k - 2 Let r = -32132 - -32129. Let s(a) = 11*a**3 + 17*a**2 + 8*a - 34. Let d(c) = -4*c**3 - 6*c**2 - 3*c + 11. Calculate r*s(n) - 8*d(n). -n**3 - 3*n**2 + 14 Let t(d) = 83*d. Let a(s) = -340*s + 237. Determine a(v) + 4*t(v). -8*v + 237 Let d(y) = 140*y**2 + 5*y + 17. Let w(v) = -542*v**2 - 19*v - 66. Determine -11*d(a) - 3*w(a). 86*a**2 + 2*a + 11 Let m be 3/7 + (-700)/(-196). Let t(p) = 2*p**2 + 6*p + 2. Let u(f) = f + 1. What is m*u(x) - t(x)? -2*x**2 - 2*x + 2 Let o(v) = -96*v**2 - 33*v - 33. Let w = 1589 - 1587. Let m(i) = -6*i**2 - 2*i - 2. Determine w*o(y) - 33*m(y). 6*y**2 Let t(x) = x - 3. Let p(g) = -4*g + 7. Let h(i) = 3*p(i) + 8*t(i). Let z(o) = -5*o - 4. Suppose 2*j + 238 = 9*j. Let b = 32 - j. Give b*z(a) + 3*h(a). -2*a - 1 Let n(z) = 20*z + 3. Let r(o) = -137*o + 62. Let l(g) = -67*g + 37. Let y(w) = 7*l(w) - 4*r(w). What is -22*n(d) + 6*y(d)? 34*d Let v = -1 - -2. Suppose -110 = 3*d - 68. Let y be ((-4)/d)/(4/(-28)). Let s(r) = r + 1. Let p(c) = 4. What is v*p(g) + y*s(g)? -2*g + 2 Let i(p) = 18*p**2 + 128959 + 15*p**2 - 128992 - 129*p**3. Let n(q) = 16*q**3 - 4*q**2 + 4. What is -4*i(u) - 33*n(u)? -12*u**3 Let d(p) = -9*p**3 + 13*p**2 - p + 3. Let f(u) = -20*u**3 + 25*u**2 - 2*u + 6. Determine -9*d(a) + 4*f(a). a**3 - 17*a**2 + a - 3 Let b(y) = 524*y**2 - 3. Let r(c) = -1046*c**2 + 8. Calculate 5*b(i) + 2*r(i). 528*i**2 + 1 Let n(t) = 2*t**2 + 7*t + 4. Let v(u) = -2*u**2 - 6*u - 3. Let i be ((-252)/12)/(-21)*7*(0 + 1). What is i*v(c) + 6*n(c)? -2*c**2 + 3 Let y(u) = -18*u - 683. Let l be y(-38). Let h(q) = 1. Let s(d) = 41*d - 3. Determine l*s(i) + 3*h(i). 41*i Let v(t) = 3604*t**3 + 17*t - 51. Let y(k) = 601*k**3 + 3*k - 9. Give 3*v(h) - 17*y(h). 595*h**3 Let c(f) = 3. Let r(h) = 10*h**2 + 66. Let d(t) = -36*c(t) + 2*r(t). Let z(k) = -k**2 - 1. Give -d(g) - 24*z(g). 4*g**2 Let i(s) = -s + 2. Let d(b) = b - 4. Let p be ((-19)/39 + 158/1027)*(12 - 0). Give p*d(u) - 7*i(u). 3*u + 2 Let f(x) = -2*x + 325. Let m(v) = -v - 45. Calculate f(a) - 5*m(a). 3*a + 550 Let v(p) = 15*p - 1957. Let q(n) = 17*n - 1978. Give 6*q(g) - 7*v(g). -3*g + 1831 Let b(w) = w**3 + w**2 - w - 1. Suppose -2*v - 2*p = -4, 8*v - 2*p = 4*v + 26. Let f(c) = 6*c**3 + c**2 - c - 1. What is v*f(
{ "pile_set_name": "DM Mathematics" }
s? 0 Suppose 3*v - 13 = 2*d, -6 + 21 = 2*v + 5*d. Suppose -5*a + v = 0, 3*j - 2*a = j + 2154. What is j rounded to the nearest one hundred? 1100 Suppose -a - 240 = 4*z - 912, 3*z - 504 = 5*a. Let x = -209 + z. Round x to the nearest ten. -40 Let h = -0.049 - -1.489. Let w = -1.4399912 + h. What is w rounded to 6 dps? 0.000009 Let w be (2 - 0)*14/(-4). Let n(g) = -g**2 + 12*g - 26. Let p be n(3). Let c be (-97)/(-1) - (4/p + w). What is c rounded to the nearest 100? 100 Let q = -2.015243483 - -21.015245063. Let i = q + -19. Round i to 7 dps. 0.0000016 Let f = -48281 - -48442.062. Let o = f + -161. What is o rounded to 1 dp? 0.1 Let g = -66.46 - 66.72. Let l = -0.82 + g. Let z = l - -113.8. What is z rounded to the nearest ten? -20 Let v = -0.03188 - -182.78188. Round v to the nearest 10. 180 Let f = 609810 + -1065162. Let j = f + 455436.00075. Let h = 84 - j. What is h rounded to four decimal places? -0.0008 Let i = -21 + 48. Suppose -c + 30 = i. Let u be (-168)/(-9) - ((-4)/c + 0). What is u rounded to the nearest one hundred? 0 Let a = -0.026531 - -0.02652. Round a to seven dps. -0.000011 Let q = -139 + 139.052. Let b = 0.132 - q. What is b rounded to 2 dps? 0.08 Let y = -112562.32640759225 + 1203.82160713125. Let i = y - -111360.0948. Let m = i - 1.59. What is m rounded to seven dps? -0.0000005 Let c = -2021698735.40001298 + 2021698715. Let b = c + 20.4. What is b rounded to 6 dps? -0.000013 Let h = 287 - 200. Let j = 144 - h. Let n = j + -56.9999752. Round n to 6 dps. 0.000025 Suppose 138*c - 134*c - 3*q = 711988, -3*c - 4*q = -534016. What is c rounded to the nearest one hundred thousand? 200000 Let l = -1.307 - 0.283. Let h = 1.589977 + l. What is h rounded to six dps? -0.000023 Let b(u) = 5553*u + 1. Suppose 4*t - 52 = -0*t. Let z be b(t). Let m = 30810 + z. Round m to the nearest 10000. 100000 Let f = 750332065732.1776 - 750368659845.76760521. Let q = f - -36594188.59. Let n = 75 - q. Round n to seven dps. 0.0000052 Let p = 11108.5 + -11139. Round p to the nearest 100. 0 Let f(b) = -12*b**2 - 7*b + 22. Let z be f(12). Let t = -551 - z. Round t to the nearest 10. 1240 Let b = -43298.0571383 + 43297.66. Let n = 0.397 + b. What is n rounded to five decimal places? -0.00014 Let b = -0.7 - 54.3. Let k = 1430.5 - 1472. Let z = k - b. What is z rounded to 0 decimal places? 14 Let x(t) = 20*t**2 + 201*t - 209. Let a be x(-37). What is a rounded to the nearest 1000? 20000 Let j be -19 + 11 + 12*1. Suppose -n = -0*c + 3*c - 64310015, j*c = 5*n - 321549980. What is n rounded to the nearest one million? 64000000 Let x = 9736822 + -9738017.4834. Let z = x + 1196. Let i = z - 0.49. Round i to two dps. 0.03 Let y = 128.9545 - 129. Let v = 277.9545 - y. Let g = 295.1 - v. What is g rounded to zero decimal places? 17 Let w = 203470 - 324994. Suppose 503048 = -h - h. Let g = h - w. Round g to the nearest ten thousand. -130000 Let c = 25165.86 + -25168.46112816. Let a = c + 6.601126. Let k = a - 4. Round k to 7 dps. -0.0000022 Let i = -3747 + 2351. Let o = i + 1386.07. What is o rounded to the nearest integer? -10 Let y be (-20)/(-25) - (-2 + 88/10). Let k be (-24)/y + (-4 - 29300). What is k rounded to the nearest 10000? -30000 Let x = 172023 - 172022.917201. What is x rounded to 2 decimal places? 0.08 Let m = -35.196 - -106.18. Let x = -0.063 + -70.937. Let j = m + x. Round j to two decimal places. -0.02 Let a be (-11166)/21 + (20/28 - 1). Let k = a - -999. Let p = -267 + k. Round p to the nearest one hundred. 200 Let h = -39821.705596 + 40055.705. Let l = h + -234. Round l to five decimal places. -0.0006 Let h = -0.803 + -0.35. Let c = 12.067 - h. What is c rounded to the nearest integer? 13 Let k = -653228762.39999812 + 653228747. Let b = 15.4 + k. Round b to 6 dps. 0.000002 Let o = 1146920 + -1147108.8802. Let x = o - -189. Let s = 0.12541 - x. What is s rounded to four decimal places? 0.0056 Let s = -22524970 + -25242035. Let t be (-1 - (-1 + 2)) + s + 5. Let g = t + 28967002. What is g rounded to the nearest one million? -19000000 Let q = -0.058593 + 0.05788138. What is q rounded to 6 dps? -0.000712 Let p = -2266 + 2265.9991465. Round p to five decimal places. -0.00085 Let v = 1907.86727968435329 + 3799278148.13272747564671. Let n = v - 3799280220. Let i = 164 + n. What is i rounded to six dps? 0.000007 Let g = 1.33175084 - 1.89692477. Let l = -0.5652 - g. What is l rounded to 6 decimal places? -0.000026 Suppose 5*m + 3*v = m + 232717, 5*m - 290895 = -5*v. What is m rounded to the nearest 10000? 60000 Let s(f) be the second derivative of 3*f**5/20 - f**4/3 - 4*f**3/3 + 8*f. Let u be s(6). Let x be (0 + 30)*u/9. Round x to the nearest 100. 1500 Let g = -0.04573802 - 0.04126085. Let v = 20.813 - 20.9. Let q = v - g. Round q to seven dps. -0.0000011 Let a = 20764.971 - 20696. What is a rounded to the nearest 10? 70 Let b = -16295.999986386 + 16296. What is b rounded to 6 dps? 0.000014 Let d(w) = -1343173*w - 2 - 26 + 1. Let z be d(-5). Let s = z + -9515838. What is s rounded to the nearest one million? -3000000 Let f = -499760850.00000161 + 499760862. Let l = 22 + -34. Let z = f + l. Round z to 7 dps. -0.0000016 Let a = -5989.857 + 5992. Round a to 0 decimal places. 2 Suppose -l - 6131215 = -4*l - 2*d, 4*l - 8174960 = -d. Suppose 7021259 + l = 7*n. What is n rounded to the nearest one hundred thousand? 1300000 Let g = -18.835 + 34.36. What is g rounded to 1 dp? 15.5 Let d = -68203.139995 - -68203. Let j = 0.76 - 0.9. Let q = d - j. What is q rounded to 6 decimal places? 0.000005 Let m = 1091.9503 - 1092. Let g = m + 0.04407. What is g rounded to 4 decimal places? -0.0056 Let w = 0.78387 - 0.10387. Let v = 2.51 - -0.72. Let s = v + w. Round s to zero dps. 4 Let v = -101.288 - -8.828. Let w = v - -138.3. Let f = w + 2.96. Round f to the nearest ten. 50 Let n = -136 - -137.306. Let f = n - -106.294. Round f to the nearest 10. 110 Let i = 643 + -642.991269. Round i to 4 decimal places. 0.0087 Let d = -35.92015855 + 35.92. What is d rounded to six decimal places? -0.000159 Let b = 145 + -144.09. Let u = -1356 - -1355.63. Let q = b + u. Round q to 1 decimal place. 0.5 Let b = 9470.0000012553 + -9470. Round b to seven decimal places. 0.0000013 Let t = 266.14 + -251.757. Round t to the nearest integer. 14 Let v = 342 - 818. Let z = 475.996781 + v. What is z rounded to 4 dps? -0.0032 Suppose -3*p = -914 - 196. Let d = 1020 - p. What is d rounded to the nearest 10? 650 Suppose 15*w + 15373013 - 3465326 = -5090313. Round w to the nearest 10000. -1130000 Let n = -26773 + -20807. What is n rounded to the nearest 1000? -48000 Let u = 36423.984577 + -36424. What is u rounded to four dps? -0.0154 Let t = 135954.815523 + -135955. Round t to 3 dps. -0.184 Suppose j + 10*j = 627. Let t = 61 - j. Suppose 5*a + 3*r - t*r = -2704999, -2704995 = 5*a - 5*r. What is a rounded to the nearest 100000? -500000 Let u = 994.86 + -694.8. What is u rounded to the nearest 100? 300 Let z = -915792 - -1660707. Suppose 26*v = z + 1790085. What is v rounded to the nearest 1000? 98000 Suppose -1 = -0*c + c. Let u be -843*120/18*c. Round u to the nearest 100. 5600 Let k(s) = s**3 + 20*s**2 + 37*s + 30. Let p be k(-18). Suppose 21*a + 148860000 = p*a. Round a to the nearest 1000000. -17000000 Let j = -1 - -1. Suppose -8778 = -10*d - 2*d + 31062. Suppose j*z = -z + d. Round z to the nearest 1000. 3000 Let x = -415 - -413.176. Let d = 1590.799 + -1592. Let r = d - x. What is r rounded to one decimal place? 0.6 Suppose 5*h = h + 20. Suppose 13 = h*v - 37. Suppose -18*t + v*t + 7600000 = 0. Round t to the nearest one hundred thousand. 1000000 Let n = -2396.001284 - -2396. Round n to four decimal places. -0.0013 Let c = 0.2212 - -90.8888. Round c to zero dps. 91 Suppose -p + 3*p = 0. Let g(v) = -2*v - 98147. Let z be g(p). Let h = -147147 - z. What is h rounded to the nearest ten thousand? -50000 Let q(k) = k**2 + 4*k + 4. Let l be q(0). Suppose -16 = -u + l*c, -2*u - 24 = -5*u + 4*c. Suppose 0 = -u*j + 6*j - 60400. Round j to the nearest 1000. 30000 Let q(v) = -41*v**2 + 9*v + 22. Let o be q(-2). Let a be (o/(-6))/(2/11685)*5. Round a to the nearest 100000. 800000 Let t(p) = -p**2 + 7*p - 3. Let x be t(6). Suppose -5*g + 1131 = 4*a, -g + 0 = -x. Let o = a - -251. Round o to the nearest 100.
{ "pile_set_name": "DM Mathematics" }
er: h or 83/2? 83/2 Let x = -13 - 4. Let t = x - -16. Which is smaller: 0.8 or t? t Let c(a) = 4*a**2 - 1. Let w be c(1). Suppose -w*y - 1 = -d - d, -6 = d + 5*y. Is d at least as big as -1? True Let j = -167141/37 + 4517. Let r = j - -71/333. Which is smaller: r or 1? r Let f = -2 + -16. Do -19 and f have different values? True Let m = 15 - 10. Suppose -2 - 30 = -4*z - 3*c, z + 3 = 2*c. Is z < m? False Let i(j) = j**3 - 4*j**2 - 4*j - 4. Let d be i(5). Let w be (-2)/(3 - d) - -3. Is 2 at least w? True Let u(j) = -j**3 + 5*j**2 - 3*j - 4. Let m be u(4). Suppose m = y - 1 - 0. Is y equal to -1? False Suppose -3*a - 2*v + 10 = 0, 5*a + v - 3*v - 6 = 0. Suppose 0 = t, -3*f = -8*f - a*t + 10. Suppose 1 = f*w - 3*w. Which is smaller: w or 1/3? w Let b be 1/5 + 56/20. Let j(f) = 5*f**3 - 1 - 2*f**b + f**3 + 2*f**2. Let u be j(-1). Are u and -4 non-equal? True Suppose a - 1 - 4 = 0. Suppose -2*i = -4*w + w, 5*w + a*i = 0. Let c be (-2)/6*(2 + w). Is c less than or equal to 0? True Let f = 27 + -12. Let v(n) = -12*n**3 + 2*n**2 - 1. Let m be v(-1). Suppose -4*z - f = 5*p, 4 = 3*p + m. Which is bigger: z or -1? z Let d = 2 + 12. Is 15 at least as big as d? True Let q be (-6)/28*2/6. Is q equal to -1? False Let w = -15 + -1. Let x = 16.07 + w. Let y = -0.03 - x. Is -0.7 at most as big as y? True Let p = 7 + -8. Let k = -337/222 - -2/111. Is p < k? False Let x = -0.1 + -0.3. Let o = -0.6 + x. Let i = -3 - o. Which is greater: -1 or i? -1 Suppose 0 = -0*b - 5*b + 2*y + 66, 2*b - 5*y = 18. Let u = 12 + -8. Let i be 0 - 0 - u/b. Which is smaller: 0 or i? i Suppose -2*q + 70 = -5*y - 7*q, 70 = -5*y - 3*q. Let o(m) = -m - 15. Let u be o(y). Which is bigger: 2/11 or u? 2/11 Let o(w) = -w**3 - 2*w**2 - w - 2. Let h be o(-3). Let g be 2/h + 26/(-30). Which is bigger: -5 or g? g Suppose -2*b - 2*f - 40 = 0, 0*b - 3*f = -3*b - 30. Let q be 54/b + 9/15. Is -2 at least q? True Suppose -t + 2*d + 0*d = -6, -4*d + 8 = 0. Let i be 158/14 - (-6)/(-21). Which is smaller: i or t? t Let f(l) = -l**3 - 4*l**2 - 7*l - 6. Let j be f(-5). Let a = 269/5 - j. Which is greater: a or -3? a Let g be -4 + 7 - (-2 + 4). Which is greater: g or -7? g Suppose 5*v + 2*h - 2 = 45, -23 = -2*v - 5*h. Let u = v - 8. Let a(n) = -n**3 - n**2. Let f be a(-1). Which is smaller: f or u? f Suppose -15*x + 26 = -2*x. Which is smaller: -1/16 or x? -1/16 Let q(c) = c**3 - 9*c**2 + 2. Let x be q(9). Let k = 2/451 - -1343/2255. Which is smaller: k or x? k Let i be ((-10)/(-12))/((-48)/108). Are i and -2 unequal? True Let b be 15/6*4/5. Let p(k) = -8*k + 1. Let n be p(1). Let j = 4 + n. Which is greater: b or j? b Let u = -5 - -7. Suppose -6*z + 4*z = u. Which is greater: 1/15 or z? 1/15 Let f be -2 + 1 - (0 + -3). Suppose -2*o = b + 3*b, -5*o - 8 = f*b. Let l = 69 + -344/5. Is b equal to l? False Suppose 2*y - y + 2 = 0. Let h be (-4)/(3/6*4). Is y greater than h? False Suppose -2*c - 4*s = 11 + 5, -4*s + 44 = -3*c. Is -12 > c? False Let x = 67 - 65. Which is smaller: x or 10? x Let w be -2 - 3586*1/18. Let b = -201 - w. Let d be 6/(-15) + 7/(-20). Is b >= d? True Let d = 97203/50 - 1944. Which is bigger: -1 or d? d Suppose 3*k - 3*s - 19 = -8*s, 4*s - 28 = 4*k. Which is bigger: k or -7/3? k Let a = 2.3 + -0.3. Let j = 1.99 - -0.01. Is j greater than a? False Let r be ((-14)/(-5))/((-1)/10). Let c be (6/40)/(-1)*r. Let m = -199/45 + c. Which is bigger: m or 1? 1 Let u(q) be the second derivative of -q**5/20 - q**4/12 - q**3/6 - q**2/2 - q. Let j be u(0). Let r = -69 + 555/8. Which is bigger: j or r? r Let l be -1*(1 + 0) - -3. Suppose -l*s = -s. Let i = 0.05 - -0.05. Which is smaller: s or i? s Let p be 1/(-3)*(1 + -4). Let g be -114*(1 + p/(-3)). Let q be g/18 + 6/27. Which is greater: -2 or q? -2 Suppose 2*c - 4 = -2*l - l, 0 = c + 2*l - 3. Let q be (-22)/(-60) + 1/(-5). Is c at least as big as q? False Suppose -13 + 3 = -5*x. Let o be (-2)/5 + 0/x. Let f = -1.3 - 1.7. Is o at most f? False Let s = -617/4 - -153. Which is greater: s or 0? 0 Let j(m) = -m**3 - 4*m**2 - 2*m. Let q be j(-1). Is 0 greater than or equal to q? True Let b be (-10)/45 - 40/(-18). Suppose b*s + 1 + 12 = -5*l, -s = -l - 4. Is -1 at most as big as s? True Suppose 2*g - y - 1 - 8 = 0, 5 = -5*y. Suppose -4*f = -7 - 5. Is f != g? True Let y be (250/6)/((-1)/(-3)). Do 125 and y have the same value? True Let m = -1311001/308 + 17041/4. Let z = 46/11 - m. Let t = 43/35 - z. Is 0 smaller than t? True Let u = -44485 - -444141/10. Let y = 71 + u. Is y != 1? True Let n = 0.4 + -0.3. Let i = 2/7 + -25/14. Is n >= i? True Suppose -2*d + 15 = -m, 9 = -5*m + d - 21. Let g(h) = -h. Let z be g(4). Is z greater than or equal to m? True Let b = 7 - 2. Do b and 6 have the same value? False Let w = -10 + 1. Let g = 0.56 + 0.44. Which is smaller: w or g? w Let i be (2/(-1))/(-11 - 1). Is 2 less than i? False Let s be (-2)/4 - 26/(-4). Suppose 2*n + n = -s. Which is smaller: 0 or n? n Let h = 24095/29 - 831. Let p = -181483/1044 - -695/4. Let m = h + p. Is -1 less than or equal to m? True Let m = 28 - 11. Is 18 at most as big as m? False Let s = 126 - 253/2. Which is greater: s or -22? s Let i = 3 + -3. Which is bigger: i or 8/17? 8/17 Let a = 17 - 11. Suppose 4*b = -w + a, -w + 2*b - 7*b = -8. Which is smaller: 1 or w? w Let n = -1702/143 + 136/11. Which is smaller: n or 0? 0 Let v = 9 - 4. Let s(x) = 8*x - 3. Let j be s(1). Let d be (v/j)/((-11)/(-2)). Is d greater than or equal to -0.1? True Suppose 2*j + 3*j = -10. Let b = 157/2 - 80. Is b not equal to j? True Let y = 3.15 + -4.05. Let h = 25/3 - 8. Is y at most h? True Let m = 12 - 11. Let q be (-1)/(m - 7/(-2)). Is q > -1? True Let q = -3 - -6. Suppose 0 = -5*n - q + 8. Is 2 at most n? False Let t be (64/(-4))/((-3)/(-48)). Let x be (-6)/(-21) + t/798. Which is greater: 1 or x? 1 Suppose -5*a + 105 = 25. Suppose f + 29 = -4*n, -2*n = -0*n + 2*f + a. Suppose k + 2*s = -2*s + 7, 3*k - 5*s + 30 = 0. Is n less than k? True Suppose -5*q + 2 - 6 = -3*t, 4*t = 2*q - 18. Let y(z) = -z**3 - 6*z**2 + 8*z + 4. Let r be y(t). Let c = r + 0. Is -3 greater than c? False Let g(r) = -6*r**2. Let c be g(-1). Let h = 8 + c. Which is smaller: h or 4? h Let u = 4/19 + 3/76. Suppose -h = h - 4. Suppose -h*z + 0*z = 0. Which is smaller: z or u? z Let b = 6.07 - 0.07. Let l = -6.1 + b. Which is smaller: l or 0.2? l Let f(m) = -m. Suppose 5 = 3*n - g, 5*g + 12 = n + 1. Let o be f(n). Which is smaller: o or -1/5? o Suppose 2*t = t - n + 13, 3*t - n = 31. Let g = t + -8. Suppose 0*a + g*k = 5*a - 4, 0 = -a + 2*k + 5. Which is greater: a or 1/4? 1/4 Let z = -2 + 6. Let c = -1 + z. Let v = 2.6 - c. Is v bigger than -2/7? False Let m be (-20)/(-15) - 25/3. Which is smaller: m or -9? -9 Let r = -101 + 101.1. Are r and 0.3 unequal? True Let p(t) = t**2 + 10*t + 18. Let c be p(-8). Which is smaller: c or 1? 1 Suppose 13 = s + 5*l - 4, -5*l = -5*s - 35. Are s and -42/17 non-equal? True Suppose 6*h + 0*h = 150. Which is bigger: 24 or h? h Suppose w - 9*w = 0. Let s be (-2)/(-1) - 7/3. Which is bigger: w or s? w Let a = -2.1 + 2. Let p = a + 0.2. Which is smaller: 4 or p? p Suppose 5 = -5*m, -3*m + 6 = -5*p - 81. Let n be p*((-1)/(-3) + -1). Suppose 3*x = 3*j - n, 4*x = 2*j - x - 17. Are j and 1 nonequal? False Let u = 1.046 - 0.046. Which is bigger: 6 or u? 6 Let n = 147 - 148. Is n <= -16? False Let a = 22 - 21. Which is smaller: a or 2/101? 2/101 Let i be (10/(-8))/(1/4). Let a be (-78)/9*i/22. Let r = a + -18/11. Which is smaller: r or 0? 0 Let u = -28 + 12. Which is smaller: 1/2 or u? u Let n = -2.2 + 0.2. Let l = n + -1. Let f = 5 + -5. Which is smaller: f or l? l Let i = 2 + -5. Let d = i + 7. Let p be (4/(-20))/((-2)/d). Is 0.2 less than p? True Let p = 0.3 - 0.3. Let k = -18 + 17. Is p < k? False Let z be 2/(-4) - 10/(-4). Suppose z*g + 20 = -3*g. Is -7 != g? True Let l be ((-54)/(-42))/(-1*(-4)/(-14)). Suppose u + 3*c - 5 + 0 = 0, -1 = u + c. Is l bigger than u? False Let b = 6/13 - 25/26. Is b at most as big as 29? True Let a be (-2)/(-6) - (-1 - 6/(-9)). Is a < -1? False Let x(s) = -s**3 + s - 1. Suppose -7 - 8 = -5*o. Suppose 0 = o*g + 2*g. Let j be x(g). Is j > 0? False Let b(s) = -3*s + 10. Let w be b(3). Are w and -1/3 nonequal? True Let s be (-1)/(-4) - 5/20. Let k be (s + 3)/(-1 + 0). Which is smaller: -1
{ "pile_set_name": "DM Mathematics" }
irst derivative of s**4/4 - 2*s**3/3 - s**2/2 - 3*s + 7. Let l be z(3). Suppose 820 = -l*u + 13*u. Is 5 a factor of u? False Suppose -2*h + 7 = 3*p, 0 = 4*p - 3*h - h - 36. Suppose 0 = t - s - 2*s - 165, p*s = -3*t + 523. Is 8 a factor of t? False Let u(c) = 4*c**2 - 23*c + 34. Let i(s) = -2*s**2 + 24*s - 35. Let q(r) = -3*i(r) - 2*u(r). Is q(-14) a multiple of 9? True Let w(g) = -85*g**3 + 9*g**2 + 14*g + 6. Is w(-2) a multiple of 2? True Let m(z) = 3*z + 9. Let u be m(-6). Does 13 divide (12 + -1)*(-198)/u? False Let x(c) = 3*c**2 + 9*c + 6. Let q be x(-3). Is ((-534)/(-15))/(q/45) a multiple of 63? False Suppose 23*c - 20*c - 3*q - 201 = 0, 0 = -c - 4*q + 57. Suppose 0 = c*t - 56*t - 765. Is 5 a factor of t? True Is -3*65/39*(-311 + 3) a multiple of 35? True Suppose -23*i + 153*i = 924300. Is i a multiple of 9? True Let i(d) = -5*d + 2. Let v be i(4). Suppose -q + 4*q + 16 = -5*o, o - 15 = 2*q. Does 13 divide (1 + q)/(v/156)? True Let z = -208 - -1456. Is z a multiple of 52? True Is 15 a factor of (285/6)/((-305)/(-112118))? False Let z = 34 + -32. Suppose -4*j + 10 = -z. Suppose 0 = j*f - 4*f + 43. Is 34 a factor of f? False Let l(f) = -6*f**3 + 17*f**2 + 20*f + 18. Let h(g) = 7*g**3 - 17*g**2 - 22*g - 18. Let a(u) = 5*h(u) + 6*l(u). Does 20 divide a(17)? False Let s(k) = 3*k - 21. Let o be s(7). Let f be (o + -4 + 4)*-1. Suppose 5*v - 39 = -4*y + 146, 2*y + 10 = f. Is v a multiple of 10? False Let c(u) = 2*u**2 + 5*u + 8. Let p be c(-3). Suppose 1052 = -12*g + p*g. Does 5 divide 0 + g/(-36) - 2/9? False Let f(w) = -393*w - 162. Let j be f(-2). Let m = 1553 - j. Is m a multiple of 11? False Let k(a) = 30*a + 3. Let s be k(-2). Let v be s/19 + 3/(3/548). Suppose -3*p - v = -8*p. Is p a multiple of 22? False Let d(k) = -18*k + 68. Let j be d(-22). Let y = j + -327. Is y a multiple of 20? False Let b be 5 - (-1 + -5 - -7). Let j(o) = 0*o + 9*o - 6 + 11*o. Is 15 a factor of j(b)? False Let j = 2256 + 5949. Does 24 divide j? False Let g(a) = -a**2 + 10*a + 2. Let q be g(10). Suppose -7*r = -q*r + 20, 4*y = -5*r - 28. Let z = 31 + y. Does 18 divide z? False Suppose -78 = -l - 74. Suppose -l*r = r - 3*a - 1948, 3*r - 1188 = -3*a. Is 49 a factor of r? True Suppose 89*p - 7*p - 211970 = 0. Is p a multiple of 66? False Let k = -41 + 83. Let f = k + -38. Suppose 3*i + r - 149 = 0, 55 = i - r + f*r. Is i a multiple of 12? False Let z be 1704/(-14) + (-6)/21. Let j be ((-12)/(-10))/((-5)/(-925)). Let r = z + j. Is 10 a factor of r? True Let n(x) = 18 + 12 + 48*x - 9. Is 13 a factor of n(6)? False Suppose i - 6 = -2. Let j(r) = 2*r**3 - 5*r**2 + 3*r - 2. Let f be j(i). Let a = f - 9. Is 14 a factor of a? False Suppose 5*y = 11*y - 252. Is y*9*(-3 - (-21)/6) a multiple of 21? True Let c(l) = l**3 - 59*l**2 + 137*l - 128. Let a be c(57). Let s = a + -268. Does 14 divide s? False Suppose 0 = -9*o + o + 416. Suppose 0 = o*i - 57*i + 6520. Does 28 divide i? False Suppose -3258 = -94*w + 100*w. Let u = w - -802. Is u a multiple of 16? False Suppose -45288 = 50*d - 58*d. Suppose 20*t = d + 3819. Does 20 divide t? False Let k = 58 - 13. Suppose -2*q + 5*q = -39. Let y = k + q. Does 4 divide y? True Suppose 7*f + 2859 - 339 = 0. Let t = 550 - f. Is 21 a factor of t? False Is 13 a factor of (((-19773)/(-2))/3)/((-5631)/(-18770))? True Let g be 4/(-6)*(-7 - 5). Suppose -4 = 3*x + g. Is 22 a factor of ((-32)/x)/2 + 33? False Let h(c) = -35*c - 90. Let l be 27*-1*4/12. Is h(l) a multiple of 25? True Suppose 4*z = 3*i + 26, 2*z + 4*i - 10 - 14 = 0. Let n be (-45)/(-6) + 4/z. Suppose 3*l + 2*r = 36, -3*r = 5*l - n*r - 60. Is 3 a factor of l? True Let t be 95/15 - -2*(-1)/6. Suppose -t*c + 143 = -1873. Does 21 divide c? True Suppose 33422 = -4*s - 2*k, 5*k = 12 - 7. Does 55 divide (786/(-114) - -7) + s/(-38)? True Suppose n = 4*s - 4 + 6, 5*n + s = -32. Is 61 a factor of (900 + 15)*(-4)/n? True Suppose 0 = -3*u - 4*k + 26939, -1767 = 3*k - 1773. Is u a multiple of 5? False Let r be -1 - (-124)/(3 + 1). Let o = r + -6. Suppose -180 = o*x - 26*x. Is 15 a factor of x? True Suppose 3*v - 3*y - 264 = 0, -2*y + 246 = 3*v + y. Let w be (-1)/5 + 187/v. Let p(x) = 36*x + 19. Does 13 divide p(w)? True Let r be 8/(-3 + -1 - (3 + -6)). Is 6 a factor of ((-60)/8 - r)*408? True Suppose 503 = a - r, r - 667 = -4*a + 1325. Let g = a + -209. Is 58 a factor of g? True Let p(q) = 6*q + 13. Let b(r) = -18*r**2 + 3*r**3 + 20*r - 4*r**3 - 2*r**3 + 2*r**3 + 33. Let a be b(-19). Is 21 a factor of p(a)? False Let x(z) be the first derivative of -z**6/360 + z**5/6 + z**4/4 + z**3 + 11. Let b(q) be the third derivative of x(q). Is b(9) a multiple of 9? False Suppose -250 - 5 = -5*j. Suppose -j*v + 48*v + 117 = 0. Suppose -4*d = -113 - v. Is 4 a factor of d? False Let i(j) = -2*j - 2. Let b be i(-2). Is 11 a factor of (276/9)/2*21/b? False Let x = -260 - -456. Suppose t + 1 = -1, 5*f - 2*t = -x. Let p = 102 - f. Does 40 divide p? False Let i(v) = -227*v + 4. Let p be i(-1). Let f be (-2)/(-3)*p*6/(-4). Is 9 a factor of (-5)/((-40)/12) - f/2? True Let k(i) = -19*i - 39. Let x be k(-8). Suppose -75 = -3*b + 3*h, -3*h = 5*b - 2*h - x. Is b a multiple of 10? False Suppose 16*b - 5961 - 1895 = 0. Suppose 3*p - w - 735 = 2*w, -w = -2*p + b. Is 17 a factor of p? False Suppose -2*u + 20 + 6 = 0. Suppose 0 = 2*l - 3*l - 4*m, -3*m - u = 4*l. Is 13 a factor of 3*l/12*-27? False Let b = 57 - 57. Suppose b*l - 3*a + 13 = -l, 4*a - 20 = 4*l. Does 12 divide l*(-488)/(-12)*6/(-4)? False Suppose -11*u - 3941 = -21464. Does 59 divide u? True Let x be (-30)/(-12)*(-22)/(-5). Let v(w) = -17*w + w - x*w. Is v(-1) a multiple of 7? False Let a be 26/(-26) - ((-3 - 3) + 0). Suppose -164 = -m - a*v, -2*m + m + 172 = -3*v. Does 13 divide m? True Let c(a) = -a**3 + 7*a**2 - 9*a - 2. Let u be c(5). Let h(n) = -3 - 2*n + u*n**2 - 4*n**2 + 3*n - n**3. Is h(-5) a multiple of 23? True Let t(r) = 189*r**2 + 2*r + 10401. Is 18 a factor of t(0)? False Is 88 a factor of ((400/120)/(4/(-3)))/((-3)/1578)? False Let t(b) = -b - 4. Let m be t(-7). Suppose 4*i - 2*g + 4 = m*i, 4*i + 3*g + 5 = 0. Is 14 a factor of (i*12 - 4)/(-1)? True Suppose 3953 = 96*d - 95*d + 3*b, 11889 = 3*d + 4*b. Does 11 divide d? True Suppose 360*p - 334*p - 228617 - 415845 = 0. Is 28 a factor of p? False Let f be 2 - (-8 + 6) - 53/(-1). Let m = f + -30. Is m even? False Let j(x) = x**3 + 62*x**2 - 12*x - 15. Is 12 a factor of j(-61)? False Let y be 4/(-10) + (-7398)/(-45). Let d = -23 + y. Does 6 divide d? False Let k = 25 + -23. Let t be (-5 - -8)*k/(-3). Is (4800/(-21))/t + 4/(-14) a multiple of 11? False Let g(o) = 8*o + 298. Let r be g(-37). Suppose 2*n + 281 = r*a + 7*n, a + 5*n - 143 = 0. Does 23 divide a? True Let v(w) = 6*w - 9. Let f(p) be the first derivative of -3*p**2 + 9*p - 7. Let y(k) = 2*f(k) + 3*v(k). Is y(12) a multiple of 15? False Let l be (-1)/(-5) + (-1)/(-15)*-3. Suppose 4*w - 43 + 3 = -5*r, l = -4*w + 20. Suppose 0 = q + q, r*v = -2*q + 660. Is 45 a factor of v? False Suppose 123952 + 218750 = 158*y. Is y a multiple of 9? True Suppose 0 = 2*s - 38*r + 40*r - 3042, 0 = 5*s + 2*r - 7614. Is s a multiple of 12? True Let x = -8951 + 17311. Does 88 divide x? True Let q(z) = z**3 - 7*z**2 - 3*z + 28. Let w be q(7). Suppose -w = c - 9. Suppose 5*l = 3*x + 33 - 163, 2*l = c*x - 84. Does 8 divide x? True Suppose 3*x - 21 = 6*x. Let z(y) = -3*y**2 - 20*y + 4. Let n be z(x). Let t = 43 + n. Is t a multiple of 10? True Let j(s) = -s**3 - 8*s**2 - 4*s + 11. Suppose 0 = n + 2. Let r be (-8)/((-3)/(-1 + n)). Is 9 a factor of j(r)? False Does 55 divide (-206016)/(-36) + (-56)/21? True Suppose -5*k + 2*h = -31002, -76*k - 3*h + 12397 = -74*k. Is k a multiple of 16? False Suppose -2920 - 39664 = -41*i - 8144. Is i a multiple of 40? True Suppose -2*r + 12 = s - 5*r, 5*s - 3 = -4*r. Let m(c) = 20*c - 15. Is 3 a factor of m(s)? True Suppose -2*m = -8*m + 18. Suppose 10 = -4*w + 5*w + o, m*w - 36 = -5*o. Does 10 divide 1 + 1 + -4 + 504/w? True Let c be ((-8)/3)/(1/3). Let v(h) = h**3 + 14*h**2 - 3*h - 12. Let t be v(c). Suppose 3*d = 7*d - t. Is 11 a factor of d? True Suppose 1 = -4*m + 5, 4*m + 2776 = -4*n. Let v = n + 1159. Is 6 a factor of v? False Suppose 3*w = 5*w - 4. Suppose -2*q - m + 10 = 0, w*q + 2 - 12 = 4*m. Suppose 2*f + 3*o = 3*f - 21, -q*f
{ "pile_set_name": "DM Mathematics" }
value of 10/(6800/67864) - 87? 64/5 What is the value of 2/574*10325/(-4425)? -1/123 What is (6 + (-14 - -4) - (112 + -113)) + 73/21? 10/21 What is -11 + (813/(-75))/((10/90)/((-42)/378))? -4/25 Calculate -65 - ((-340)/(-5236)*77)/((-1)/3). -50 What is the value of (-6 - -1 - (-2 - 1))*23452/(-1144)? 41 (-56)/(-48) - 12727/(-3432) 39/8 What is 1063 + -1070 + 7/2? -7/2 Calculate ((-11)/55)/(36/6300) - 13. -48 Calculate ((-63)/75)/((-6748)/14460). 9/5 What is the value of 4*1 - (-22304)/(-72)*(-234)/(-18148)? 2/349 What is the value of -2 - 14036/(-6006) - (-180)/(-3510)? 2/7 What is 1673/478*240/189? 40/9 What is 1 + 98/20 + -3 - (1375/(-50) + 29)? 7/5 What is -7 + 1 + 36/(-8)*100/75? -12 What is the value of (340/(-765)*27/2)/(10/(-60))? 36 Calculate (6 + 40/(-9))/((-194)/291). -7/3 15 - (-1980)/50 - 39/65 54 Calculate 1*8 + ((-340)/102)/10*-159. 61 Calculate (106 + 55)/(-161) + 27 + 0. 26 Calculate (-2)/((-12)/(-2)) + ((-96612)/2910)/(12/10). -28 What is ((-369)/(-18) - 21)/((-20)/60 + 38/132)? 11 Calculate -130 + 136 - ((-33)/2)/(4/8). 39 Calculate 13/(130/280) - 509480/18157. -4/67 What is -11*(-23 + 23 + 7) - -24? -53 Calculate (978/7987)/(4 + 8)*(0 + 2). 1/49 Calculate (-31956)/215703 - 2426/27. -90 Calculate ((-4)/((-112)/(-1043)))/(-266) - (-36)/(-44 + -244). 2/133 What is 1662/(-132) - 3072/(-2816)? -23/2 What is the value of 650/(-4)*(-2700)/(-6750)? -65 What is (-5)/((-4)/(-7) - 1406/3108)? -42 What is 34000/138375 - 72/486? 4/41 (5163 - 5086) + (3/(3/7) - -2) 86 Calculate ((74/(-6))/(-35*(-24)/(-720)))/(6/21). 37 What is (551/58 + -11)*14*(-12)/(-630)? -2/5 What is (4 - 0) + (-192)/54 - (-2839)/(-1224)*-8? 19 Calculate (-1904)/(-2244)*177/(-1652). -1/11 What is (-113)/(6780/(-3684)) - (2 + (-26)/10)? 62 Evaluate ((-738)/(-144) - 5) + 1347/(-24). -56 What is (603/15)/(((-89)/89)/(5/3))? -67 Evaluate ((36/30)/3 + 198/10)/((-3213)/16065). -101 Evaluate -4 - ((-56)/168 - 4/(7728/7060)). -2/161 What is (18/(-21))/((-3330)/(-217560))? -56 Calculate (380/(-27930))/((4/9)/(-4)). 6/49 (36/(-21) + 50/25)*(-203)/870 -1/15 (3/(-24)*-4)/(-35 + 19635/560) 8 32360/(-2508) + 28 + 7376/(-264) - -13 3/19 What is ((-1430)/176)/((-47)/376)? 65 Calculate ((-128)/(-40))/8*(-360)/(-384). 3/8 Evaluate (-144)/2 - 3596215/(-49986). -1/18 Evaluate (-1)/(-35)*(-4536)/486. -4/15 Calculate (-45)/((-24)/792 + 40/110). -135 (4/4176)/((-241)/(-8676)) 1/29 Calculate 182/(-21) + (-8030)/330. -33 Calculate ((-414)/12)/(9 - (-12 - (846/(-24) - -15))). -46 What is the value of (-8)/(-916) + 676687/682649? 1 Calculate (-806)/(-12090) + (-3777)/180 + ((-7)/4 - 1). -71/3 What is the value of (-5)/(14 - ((-16)/(-36) - (-53192)/3843))? 35/2 ((15 - -1)/(-32))/(40/(-580)) 29/4 What is the value of (6/(-984)*2)/((-111)/63566) - (-22 + 29)? -2/123 What is the value of 492/(-10) + -93 + (-98792)/(-1060)? -49 5/(60/508) - ((-1450)/(-75) - 17) 40 ((-3712)/(-308) - 12) + (-347)/2429 -1/11 Evaluate (13 - 2227/170)*(-9)/((-81)/12). -2/15 Evaluate ((-2232)/(-5115))/(61/305). 24/11 What is -6 - 244/42 - -12 - 4/(-6)? 6/7 Evaluate (-5 + (-284)/(-8))*50/(-225)*9. -61 Calculate (17982/44955)/((8/50)/(8/(-140))). -1/7 Evaluate (642/75 - 5) + -54 + 55391/1025. 18/5 What is the value of 33*2*(((-345)/(-306))/(-23) + 74/(-629))? -11 Calculate (5233 - 5115) + -56 + -2. 60 What is ((264/(-484))/(10/55))/((-4)/(-72)*2)? -27 What is (225 + (-17062)/76)/(3/24*-27)? -4/27 What is the value of 1170/54*2/(-10)*(-36)/26? 6 Calculate (-30804)/(-2265)*1/(-2). -34/5 What is the value of (-2463)/(-53365) + 2727/65? 42 ((-2)/(-20))/((-3702)/(-43190)) 7/6 Calculate (138/16)/((-50)/(6100/(-183))). 23/4 Calculate (14*(-2 + (-13)/(-2)))/((-1309)/(-561)). 27 What is ((-48)/60)/(512/2400)? -15/4 Evaluate (428806/26814 - (13 - (-4 - -1)))*(0 - -2). -2/123 What is the value of 47 + (46 + (-11)/(77/224) - (12 - 0))? 49 Calculate (9/(-60) - 0)/(71 + (-1425)/20). 3/5 What is (-56)/(-7) + (12/(-16))/((-7611)/(-80840))? 2/59 What is 15129/492*16/18*((-28)/(-8) + -5)? -41 Evaluate (165/6)/(1225/(-70)*6/(-42)). 11 What is the value of 864535/17552240 - 2/32? -2/151 60/(-5) - (-28 + 43 - 56) 29 ((-7268)/(-1501))/(120/(-1140)) -46 What is the value of (8 + (-1288)/20)/(16/24) + (-672)/(-420)? -83 What is the value of (240/4160)/(((-245)/(-80) + -3)*6)? 2/13 -5*(131/1179)/((-4)/(-36))*-13 65 What is 5901/252 - 65/156? 23 What is the value of (114 - -18) + 4412359/(-33428)? 1/244 What is the value of -13 - ((-39 + 0)*13/(-39))/1? -26 Calculate (-2)/(-2*(-4)/64)*-16*(-180)/640. -72 Calculate ((-40)/14)/(78/182) + (-108)/(-81). -16/3 Calculate 38/(-2413) - 3002/115824. -1/24 What is the value of 2925/600*8/3 - (-2520)/56? 58 What is ((-72)/27 - (-20)/12 - -2)/(420/(-588))? -7/5 Calculate 3/((-945)/110) + 14837/(-777) + 19. -4/9 What is (-14)/(11760/(-50))*118/(-10) + (-9)/(-12)? 1/21 (-8)/(-11) - -206*28/(-308) -18 What is the value of -252*480/9216*32/(-6)? 70 Calculate ((-1476)/130)/((-330)/550) + -13 + 4/52. 6 What is (-94)/8 + (-54612)/(-1968)? 16 Evaluate (12880/546)/(-20)*2561/(-394). 23/3 What is the value of (-553 + 502)/((10/25)/((-4)/(-10)))? -51 What is the value of 24293/(-47157)*(2 + -68)? 34 What is (42 - 19239/231) + (-64)/(-28)? -39 Evaluate (-23 + 24864/1050)/(3/60*4). 17/5 Evaluate (-1)/(-4)*(-17 + 24/3 + -179). -47 What is the value of 4/(-30) - (15938/(-12260))/(26/(-24))? -4/3 What is 22 - (-13*(-10)/(-65))/(1/(-2)) - -10? 28 Calculate (-42)/54*(9 + 24 + 12). -35 What is 32 + (17/(-2) + -2)*((-2542)/93 + 28)? 25 What is ((-7)/((-196)/(-35)))/(14*5/(-560)) - 41? -31 Evaluate -65 + 73 - (-8 - (-693)/44). 1/4 Calculate ((-6)/(-4))/(((-180)/(-200))/((-342)/(-15))). 38 4 + (-6492)/480 + 9 - 3/(-24) -2/5 What is the value of (-484*11/440 - -12)/7? -1/70 (2392/39)/(-23)*(-63)/(-4) -42 Evaluate -2 - (((-308)/1694)/(2/(-22)))/(-4). -3/2 What is 3/2*3240/31590 - (-1 - 371/(-299))? -2/23 Calculate (-184)/16 + (-4230)/188. -34 Calculate (115/(-92) + (-17)/(-16))/((-1551)/132 - -11). 1/4 Calculate (28050/(-82280))/((-10)/24). 9/11 What is (-2596)/(-472) + 146/4? 42 What is (20/48)/(6*(-1 + 13)/(-72))? -5/12 Evaluate ((-9)/11 - -1*1) + 1405/265826*3182. 17 Evaluate ((-1242)/(-65205) + (-802)/210)*-15. 57 (-931)/19551*(-7)/(-33) -1/99 What is ((-24115)/35828)/((-7)/(-8))? -10/13 (11 - 288/18)/(((-44)/759)/((-20)/(-15))) 115 Evaluate 1 - (676/(-13) - -56). -3 What is (43/(-27))/((-19205)/(-518535))? -43 What is the value of 522/7 - (-155040)/63840? 77 10/65 + (14550/(-780) - -18) - 70/(-4) 17 156/(-1924)*-37 + (-1)/((-1)/(-50)) -47 Calculate (-1776)/(-5920) - (1072/240)/(-2 - 8/(-6)). 7 What is ((-5754)/8)/(-7) - ((-1025)/1700 - 72/(-204))? 103 What is the value of (42/10)/((1 - 50/42)/(15784/(-165732)))? 21/10 Calculate ((-2328)/8730)/(4 + 158/(-30)). 4/19 What is (31 + (-1 - 28) + -14)*(-2)/(-86)? -12/43 What is the value of (-225)/(-119) + (72/(-60))/(2783/(-110) + 26)? 3/17 1/((-49)/14 - -1) - 1292/(-2755) 2/29 Evaluate 1/(-6 + 330/22) + (-100)/576. -1/16 Calculate (30 - -4) + -2093 + 2025. -34 -64 + 125 - 145/5 32 (-45)/(-10)*-6*(6 + -5) -27 Calculate 50/(2500/(-3330)) - (-264)/(-110). -69 Evaluate ((-6)/(-250))/((52/(-130))/(272/17 - 14)). -3/25 (16 - (-220)/(-11))/378 -2/189 Calculate ((2/8)/((-150)/(-2760)))/((-62)/155) - 4. -31/2 ((-1274)/728)/(2058/10752) -64/7 What is 32/24*-1*6 - -23? 15 What is 2646/(-1296) + 3 + -1? -1/24 What is ((-436)/(-22) - 83/16434*-36) + -8? 12 Calculate (-25)/(-15)*8928/(-27280). -6/11 (-3)/((-45)/(-266)) - (-14)/4*5084/133455 -88/5 Evaluate (-5214)/3267 - (-6 - 42/54 - (-4 + -3)). -20/11 3146/3267*30/65 4/9 What is the value of 3*33 + 8676780/(-87600)? -1/20 What is (1820/34650*33)/((-22)/(-165))? 13 Evaluate (15/((-90)/804))/(14 + 144/(-9)). 67 Calculate -109*3/(-9) - 10447/1011. 26 What is the value of (38 - 6636/175) + (6/720)/(20/8)? 1/12 Calculate 3*-2 - (17 + 1647/(-90))*1*6. 9/5 What is the value of 30150/(-2412)*32/(-10)? 40 Evaluate (770/(-33) + 22)*(-48)/112. 4/7 What is -336*(-77)/11858*1/(-6)? -4/11 Calculate (-1 - 2)*(-102)/765 + -1 + (-168)/(-5). 33 What is the value of 34320/(-40040)*903/18? -43 What is (-7 + 184 + 3)*((-66)/165)/(12/24)? -144 What is (5 - (-7 + 16)) + (0 - -2)/((-74)/(-851))? 19 What is ((3 - (-1 - 0)) + 525/(-84))/(147/(-5880))? 90 What is -7*1
{ "pile_set_name": "DM Mathematics" }
Let z(x) = -x**3 - 22*x**2 + 21*x + 880. Let m be z(-21). Suppose -r - r - 8 = 0. Sort -59, 5, r, m in increasing order. -59, r, m, 5 Let c = -122.6 - -124. Let w = 1 - c. Let o = -0.1 - 0.1. Put -4, w, o in ascending order. -4, w, o Let h = 1.0159 + -0.0159. Sort -1.5, h, 22. -1.5, h, 22 Let d(h) = -9*h - 5 - 6 - 2 + 15. Let x be d(0). Let c = 2 - 3. Sort 0.3, x, 2/5, c in decreasing order. x, 2/5, 0.3, c Let x be (4 - 4)/(2/(-2)). Let t be 1 + -4 + (-425)/(-170). Put -0.3, t, 1, x in decreasing order. 1, x, -0.3, t Let g = -611252 - -611251.9. Let o be (-1)/(-3) + 16/(-21). Sort -1, 62, o, g in increasing order. -1, o, g, 62 Let o = -31/209 + -1261/4180. Put 3, o, 1, 0 in decreasing order. 3, 1, 0, o Suppose 3208*o + 120 = 3238*o. Put o, 15, -1, -11, -3 in descending order. 15, o, -1, -3, -11 Let y(s) = -s**2 - 7*s - 16. Let p be y(-8). Let c = 9 - 14. Suppose a - 14 = -2*v + 2*a, 0 = a + 4. Sort p, v, c in ascending order. p, c, v Let d = -1952 - -13667/7. Sort 9/11, -0.2, d, -0.4 in decreasing order. 9/11, d, -0.2, -0.4 Suppose w + 3 = h, -4*h - 14 = 3*w + 9. Let i = 0.212 - -2.788. Let v = i - 6. Sort -4, w, v, 4 in increasing order. w, -4, v, 4 Let q = -75.96 + 158.96. Let x = -8/7 + -5/14. Put -4, q, x in decreasing order. q, x, -4 Let j = 0.0496 - 1.0496. Sort j, -8, 3, -8/25 in ascending order. -8, j, -8/25, 3 Let y(o) = 2*o**3 - 68*o**2 + 66*o - 2. Let n be y(33). Let z be ((-26)/(-78))/((-10)/(-4) + n). Sort -0.02, -1/44, z, -0.5 in decreasing order. z, -0.02, -1/44, -0.5 Let t(s) = 16*s - 34. Let j be t(-6). Let d = j - -183. Sort 0, -4, d in decreasing order. d, 0, -4 Let n be ((-672)/(-15))/2 + (-2)/5. Let t(y) = -56*y - 779. Let p be t(-14). Sort n, 3, p in increasing order. 3, p, n Let x = 3242 - 3241.6. Let y = 39 - 36. Sort x, 4, y, -5 in increasing order. -5, x, y, 4 Let b = 270 + -275. Let r(p) = -p**2 - 6*p. Let o be r(-6). Let c = -37 - -60. Sort o, c, 4, b in descending order. c, 4, o, b Let o(q) be the first derivative of -q**4/4 + 10*q**3/3 - 4*q**2 - 63*q - 309. Let l be o(8). Put l, 131, 3 in decreasing order. 131, 3, l Suppose 435*s + 551 + 179 + 140 = 0. Let o be (-2)/(1*-2) - 6. Sort 6, 5, o, s in decreasing order. 6, 5, s, o Suppose -4*v = -2*v + 8. Let y be -5 - ((8 - 3) + -11). Let o be 27/(y + 7 + -9). Sort v, 0, 2, o in descending order. 2, 0, v, o Let o be ((-8)/(-130))/(4/(-10)). Let c = -1/18 - -7/18. Let k = -539/3 - -178. Sort c, o, -1, k. k, -1, o, c Let x(z) = 25*z + 272. Let f be x(-11). Let v = 0.7 + -1.4. Put 2/11, f, v in increasing order. f, v, 2/11 Let u = 516/5 - 103. Let r = 747 + -741. Sort r, u, -0.5 in increasing order. -0.5, u, r Let d = -3 - -4.3. Let s = 3.3 - d. Let b be 2 + 5 - (6 - 2). Sort b, s, -1/2 in decreasing order. b, s, -1/2 Suppose -3*v = -11 - 4. Let r = -10169 - -10173. Put -5, v, -2, r in descending order. v, r, -2, -5 Let i(g) = -g**3 - 17*g**2 - g - 14. Let q be i(-17). Suppose 0 = -j - 3*j - 188. Let t = 43 + j. Put -5, q, t, -2 in decreasing order. q, -2, t, -5 Let q be ((-6)/4)/((-11)/(-1210)). Let p be (132/q)/((-2)/5). Sort -8, 0, p, 4 in decreasing order. 4, p, 0, -8 Let a be (-135)/25 + 20/50. Let u = -137 + 269/2. Put a, u, -1, -2/19 in ascending order. a, u, -1, -2/19 Suppose 0 = -5*f + c + 21, 2*f + 0 = 3*c - 2. Let i(a) = -12*a - 892. Let x be i(-74). Sort -42, f, x, -2. -42, x, -2, f Suppose -3*b = 41 + 58. Let w(r) = 562*r - 5. Let i be w(0). Put 3, b, i in ascending order. b, i, 3 Let c(b) = -b**2 - 7*b - 10. Let p be c(-3). Let i(x) = 10*x**p + x**2 - 13*x - 8*x**2 - 20 - 2*x**2. Let q be i(15). Sort 0, q, -2, 1. -2, 0, 1, q Suppose 23*t + 379 - 103 = 0. Let w = 13 - 2. Let s = -13 + w. Put t, 5, -4, s in increasing order. t, -4, s, 5 Let i = 1549 + -1550. Let o be 1/4 - 0/(-2 + -1). Sort o, -3, -4, i in descending order. o, i, -3, -4 Suppose -3*p - 4*w + 969 - 920 = 0, -3*w = 2*p - 31. Put p, 2/13, -4/7, 5, 2/5 in descending order. p, 5, 2/5, 2/13, -4/7 Let k be (3 - 0)/((-3)/(-2)). Suppose -k*c - 384 = -5*c + 4*x, 0 = -2*x - 6. Put c, 1, -1 in increasing order. -1, 1, c Let k(u) = -8*u**2 + 39*u + 88. Let z be k(-3). Sort -4, 0, z, -3, -24 in increasing order. z, -24, -4, -3, 0 Let c be (-5 + 6)*(1 + 4). Let h(d) = -d**2 - 30*d + 100. Let o be h(3). Suppose -3*n - 12 = n. Sort c, n, -1, o in descending order. c, o, -1, n Suppose -14 + 162 = 37*b. Put 0, -4, 0.059, b in decreasing order. b, 0.059, 0, -4 Suppose 7*v + 5 = 2*v. Let w(u) = 12*u + 7. Let y(g) = -11*g - 7. Let q(r) = 5*w(r) + 6*y(r). Let b be q(-2). Sort b, v, 1 in ascending order. v, 1, b Suppose f + 15 = -3*j, 44*f = -2*j + 41*f - 31. Sort 2/3, 5, j, -1.9 in decreasing order. 5, 2/3, -1.9, j Let s be (-6)/21 - 2/1. Let r = 0.537 + -1.137. Sort 1, s, r in descending order. 1, r, s Suppose -42 = 2*k + c - 2*c, 5*k + c + 98 = 0. Let b be (24 - 3)*k/15. Put b, 5, -3 in ascending order. b, -3, 5 Suppose -458*i + 5 = 4*w - 457*i, 3*i + 11 = w. Sort -238, w, 1, 5 in ascending order. -238, 1, w, 5 Let r = 13267 - 13250. Put r, 3, 2, -3, 6 in increasing order. -3, 2, 3, 6, r Let n be ((-374)/(-5))/(24/(-25)). Let z = -78 - n. Let x = -0.04 + -1.96. Put z, -4, x, 4 in decreasing order. 4, z, x, -4 Let v(r) = -40*r**2 - 11*r - 3. Let l(z) = -2*z**2 - z. Let d(b) = 6*l(b) - v(b). Let h be d(-1). Sort -4, h, -2, 4. -4, -2, 4, h Let b = 7/176 - -155/528. Put 4, b, 39/7 in decreasing order. 39/7, 4, b Let i(h) = 2*h**3 - 52*h**2 - 48*h - 165. Let p be i(27). Put 32, 4, 3, -2, p in increasing order. p, -2, 3, 4, 32 Let z = 0.2344 - 3.2344. Let w be 1/(-3) + (-12 + 8)/12. Sort 3/5, z, 0.7, w in increasing order. z, w, 3/5, 0.7 Let p = 20 + -20.5. Let t = 0.777 - 0.82. Let n = -0.357 + t. Put n, p, -1 in ascending order. -1, p, n Let j = 33 + -33.1. Let o be 6/10 + 3354/(-6665). Sort 1, o, j in ascending order. j, o, 1 Let t = -0.035 + -4.965. Let q = -91.9 - -96. Let f = 4 - q. Put 1, f, t, 0.5 in ascending order. t, f, 0.5, 1 Let t = 170 - 173. Sort t, 4/43, 1, 0.06 in increasing order. t, 0.06, 4/43, 1 Let z = -106.26 + 102. Let o = z - -3.96. Put -2/5, 1/11, o in decreasing order. 1/11, o, -2/5 Suppose -p = 3*b - 2*b + 1, 0 = -3*b + 9. Suppose -2*h = 3*g - 4*g - 4, h + 1 = g. Let t be 5/7 + -1*g/(-21). Sort -3, p, t in ascending order. p, -3, t Let m = -0.03 + 2.03. Let i = -0.0179 + 4.3179. Let w = -9.3 + i. Sort 0.2, -1/2, m, w in decreasing order. m, 0.2, -1/2, w Suppose -4*w + 52*w + 1200 = 0. Let z(j) = -j**3 + 7*j**2 + 6*j + 14. Let k be z(8). Sort 4, w, k in descending order. 4, k, w Suppose -27*p + 71 = 17. Sort -1, p, 7, -4, 3 in increasing order. -4, -1, p, 3, 7 Let h = -462 - -625. Let i = h - 152. Sort i, -1/2, 0.5 in decreasing order. i, 0.5, -1/2 Suppose -11*b - 131 = -318. Suppose -5*o + 2*q + 6 = -4, 3*o - b = -q. Suppose -j + 6*j = 0. Put o, -5, j in descending order. o, j, -5 Let z = -15267 - -15287. Let m = 1 - -1. Sort m, -4, 5, z in descending order. z, 5, m, -4 Let t = 45 - 40. Suppose u + f - 6 = 12, -4*u + t*f + 90 = 0. Let c be u/40 + 23/(-26). Put 0, 0.3, c in descending order. 0.3, 0, c Let x(z) = -z**3 + 8*z**2. Let g be x(8). Suppose -1981*a + 1994*a = 52. Put a, -1, 1, g in decreasing order. a, 1, g, -1 Let a = -2385 - -2401. Put 1, 2, -5, a in increasing order. -5, 1, 2, a Let f = -3272 + 3276. Put f, 1, -177, 0, -2 in descending order. f, 1, 0, -2, -177 Let m be (-14)/(-18) + -1 + (-4864)/(-15732). Let q = -7 - -10. Let j be 11/q - 1/(-3). Sort j, m, -5, -1/11. -5, -1/11, m, j Suppose -4*a = -3*d + 19, d = a + 4 + 1. Let y be ((-2)/8*a)/(1/5). Let m = 24 + -34. Sort y, m, 3. m, 3, y Suppose 3 = x, 5*x = -4*p + x + 36. Suppose -4 = 3*v + s, 1484*s + 24 = -3*v + 1487*s. Put 3, 5, v, p in increasing order. v, 3, 5, p Let i = -3.074 + -0.426. Let t = i + -0.5. Sort -62, -0.4, t in increasing order. -62, t, -0.4 Let b = -0.01 + 0.41. Let i = -62 - -249/4. Suppose 17 = 116*f - 114*f - r, -3*f - 15 = 3*r. Sort 0.2, i, b, f in ascending order. 0.2, i, b, f Let p be (-57672)/(-1246) + (-10)/(-14). Put -3, p, 5, -12 in increasing order. -12, -3, 5, p Suppose -60 = -7*f - 35*f + 66. Put 85, f, -12 in increasing order. -12, f, 85 Let u = -14.7 + 4.4. Let l = 11.3 + u. Put 2, 10, l in descending order. 10, 2, l Let l = -1.091 - -3.991. Put -27, 0.3, l in ascending order. -27, 0.3, l
{ "pile_set_name": "DM Mathematics" }
xpand (1 + 11*u - 1)*(-7 - 5*u + 7) - u**2 - u**2 + 0*u**2. -57*u**2 Expand (2*c**4 + c**4 - c**4)*(46*c + 5 - 88*c + 39*c). -6*c**5 + 10*c**4 Expand (-8*u - 2*u**3 + 8*u)*(-313*u**2 - 80*u**2 - 193*u**2 + 3*u**2). 1166*u**5 Expand (-a**2 + 4*a**2 - 4*a**2 + (-3*a**2 + 5*a**2 - a**2)*(-2 + 4 + 0))*(-27*a + 18*a**3 - 73656 + 2*a**3 + 73655). 20*a**5 - 27*a**3 - a**2 Expand (4 - 10 - 6)*(0 + 3 - 4)*(7 - 7 + 21*n). 252*n Expand (-2*y**3 - y**3 + y**3)*(-86*y + 191*y + 201*y). -612*y**4 Expand (3 + 2 - 4)*(86 - 164 + 94)*(-6*a**2 - 4*a**2 + 4*a**2). -96*a**2 Expand (-32318 + 32318 - 211*t + (4*t + 2*t - 4*t)*(0 + 0 + 2) + 2*t - 2 + 2)*(3*t + 0*t - 2*t)*(0*t - t + 3*t + (0 + 0 + 1)*(-t + 2*t + 0*t)). -615*t**3 Expand (-m - 3*m + 3*m)*(-111*m**2 - 82*m**4 + 111*m**2). 82*m**5 Expand (-9*g**4 + 33*g**4 - 13*g**4)*(3*g + 2 - 2*g + 0). 11*g**5 + 22*g**4 Expand (-46 - 23 - 6)*(3*o - 5*o - 3 + 0). 150*o + 225 Expand (-255 + 294 + 732)*(-f - 3*f + 5*f). 771*f Expand -26*s + 13*s**2 + 4*s**2 - 18*s**2 + 3 + 2*s**2 + s**2 - 4*s**2 + (1 + 4 - 4)*(4*s**2 - s**2 - 4*s**2) - s**2 + 4*s**2 - 5*s**2. -5*s**2 - 26*s + 3 Expand (-6 + 2 - 1)*(3*a + 0*a - a)*(52 + 44 - 33). -630*a Expand (0*i - i - 2*i)*(2*i**3 + 0*i**3 - i**3 + (-2*i**2 + i**2 - i**2)*(3*i - i - 4*i) + (-1 + 31 - 3)*(4*i**3 - 4*i**3 - i**3)). 66*i**4 Expand (3 - 3 + 2*r)*(0*r**2 - 3*r**2 + 4*r**2) - 4*r**3 + 3*r**3 + 0*r**3 - 113*r**3 + 23*r**3 - 5*r**3 + (-1 + 4 - 5)*(2*r**3 + r**2 - r**2). -98*r**3 Expand p**2 + 3*p**2 - 3*p**2 + 2*p**2 + 0*p + 0*p + (-3*p + 0*p + p)*(-p - 2*p + p) - 52 + 52 - 3*p + 8*p**2. 15*p**2 - 3*p Expand y**2 + 0 + 0 - 13*y**2 + 23*y**2 + 18*y**2 + (3*y**2 - y**2 - y**2)*(2 + 3 - 3). 31*y**2 Expand (-3*m - 2*m + 4*m)*(-m - 2 + 2) - m**2 + 0*m**2 + 3*m**2 - 14*m**2 + 7*m**2 - 10*m**2. -14*m**2 Expand (2 + 3 + 3*g - 6)*(237 + 117 + 133 - 10). 1431*g - 477 Expand -s + 2*s**2 + 2*s + 2*s - 2 + (s + 13 - 13)*(-4*s - s + 4*s). s**2 + 3*s - 2 Expand (318 + 24 + 33)*(-2*f**2 - f**4 + 2*f**2)*(0*f - 4*f + 5*f). -375*f**5 Expand 4*l + 2*l - 4*l + (2 - 6 + 2)*(4 - 4 - l) - l + 0 + 0 + 0*l + 0*l - 2*l + 3*l - l + 0*l + (3*l + l - 3*l)*(10 + 3 + 22). 38*l Expand (0 + 0 - 2*s)*(2 + 2 - 5)*(0*s - 4*s + 3*s) + (-6*s - 3*s + 4*s)*(1 - 1 + 2*s). -12*s**2 Expand -78*c + 23*c - 110*c - 4 - 3*c + 4 + (2*c - 1 + 1)*(-4 + 5 - 3) + 2*c - 3 + 3 - 1 - 2*c + 1 - 2*c + 5*c - 4*c - 2*c - 2*c + 3*c. -174*c Expand 0*d**4 + 0*d**4 + 8*d**4 + (d + 4*d - 3*d)*(5*d**3 + d**3 - 2*d**3) + 3*d**4 - 2*d**4 + 0*d**4 + 2*d**2 - 2*d**2 + d**4. 18*d**4 Expand 0 + 0 + f**2 - 4*f**2 + 0*f**2 + 6*f**2 + (-3 + 0 + 4)*(2*f**2 + 0*f**2 + 0*f**2) + 15*f**2 + 71*f**2 + 13*f**2 + 2*f**2 + 0*f**2 - 3*f**2. 103*f**2 Expand (3 - 4 - 1)*(2*c**2 + 6*c - 6*c)*(12 - 12 + 5*c**2)*(5 + 0 - 3). -40*c**4 Expand (4 - 2*f - 4)*(-49*f - 5*f + 9*f)*(2*f**2 + 2*f**2 + f**2). 450*f**4 Expand (-1 + 4*i + 1)*(4 - 3 + 2)*(-3*i - 6*i + 35*i). 312*i**2 Expand (6 - 6 - 5*w**2)*(-w**2 + w**2 + 2*w**2) + 0*w**2 - 3*w**4 + 0*w**2 + (-w**2 + 0*w**2 + 0*w**2)*(-41*w + 11*w**2 + 41*w). -24*w**4 Expand (7*g**3 + 18*g**3 + 25*g**3)*(-5 + 5 + 5*g). 250*g**4 Expand s**4 + 3*s**4 - 3*s**4 + (-2*s + 4 - 4)*(1 + 2*s**3 - 1) + 8*s**4 + 10*s**4 + 12*s**4. 27*s**4 Expand (8 + 2*v - 8 + (-1 - 5 + 4)*(-27*v + 70 - 70))*(3*v - 3*v - v). -56*v**2 Expand (-1 + 1 - a)*(-2*a**3 - 1 + 1) + ((0 + 0 - 2)*(1 + a - 1) - 3*a + 3*a + 4*a)*(-4*a**3 + a**3 + 7*a**3). 10*a**4 Expand (5*v - 2*v - 2*v)*(0*v + 3*v + 3*v) + 46*v + 12*v**2 - 46*v - v**2 - v**2 + 0*v**2. 16*v**2 Expand (4*s + s - s)*(-1 - 3 + 1 + (3 + 3 - 7)*(-3 + 5 + 1)). -24*s Expand 2*u**3 - 2*u**3 + 2*u**5 + (-u**4 + 2*u**5 + u**4)*(0 + 0 - 1) + 4*u**5 - u**5 - 2*u**5 - 3*u**5 - 10*u**4 - 3*u**4 + 3*u**4. -2*u**5 - 10*u**4 Expand (-1 + 1 + 2*a)*(2*a**2 + 1 - 1) - 6*a**3 + a**3 + 56*a**2 + 4*a**3. 3*a**3 + 56*a**2 Expand (3 - 5 - 4)*(-72*w**5 + 18*w**5 - 53*w**5). 642*w**5 Expand -w**2 - 2*w**2 + 2*w**2 + (40*w + 5*w - 111*w)*(-2 + 2 + 2*w). -133*w**2 Expand (-1 + 3*b**4 + 1)*(3*b + 4*b - 4*b) + 79*b**5 - 20*b**5 - 42*b**5. 26*b**5 Expand 1 - 1 - 8*x**5 + (-2*x**2 + 0*x**2 + 0*x**2)*(-2*x**3 - 2*x**3 + 3*x**3) + (-3 + 3 + 2*x)*(-14 - 3*x**4 + 14). -12*x**5 Expand (-3*m**3 + 2*m**2 + 9*m + 15*m - 22*m + 2)*(0 - 4 + 1). 9*m**3 - 6*m**2 - 6*m - 6 Expand (1 - 3 - 2)*(-g + 4*g - 2*g) + (-2 - g + 2)*(-4 + 3 + 2)*(-1 + 0 + 0). -3*g Expand (-228 - 36*j + 228)*(0*j + 2*j + 4*j). -216*j**2 Expand (-66 + 66 + 5*b)*(-16*b**3 - 17*b**3 + 8 + 38*b**3). 25*b**4 + 40*b Expand (-196 - 67 + 114)*(-4*x + x + 2*x). 149*x Expand -2*q + 4 - 4 + 4 - 12*q + 2 - 4 - 4*q + 4*q + 3*q + (-2 + 3 - 4)*(3*q - 5*q + 0*q). -5*q + 2 Expand (2 + d - 2*d - 2*d)*(-4 - 2*d**3 + 4 + 3*d**3 + 5*d**3 - 19*d**3 + 0*d**3 + 3*d**3 - 5*d**3 + 2*d**3 - 3*d**3 - d**3 + (-2 + 2 + 2*d)*(d - d**2 - d)). 57*d**4 - 38*d**3 Expand (-1 + 0 + 4)*(2*d + d + 8*d)*(-2 + 3 + 2). 99*d Expand (-a - a - 9*a)*((-2 - 1 + 1)*(0 - 3 + 2) + 1 - 4 + 2). -11*a Expand (-1 - 9*i + 5 - 1)*(4 - 4 + i)*(9*i + 3*i**2 - 9*i)*(2*i - 4*i + 0*i). 54*i**5 - 18*i**4 Expand (4*m + 2*m - 2*m)*(3*m - 6*m + m)*(-25 + 3 - 2 + (2 - 2 - 1)*(3 - 6 + 1)). 176*m**2 Expand (2*s**3 - 4*s**3 + 6*s**3)*(27*s - 7*s - s). 76*s**4 Expand (-4*y + 0*y + 5*y)*(-y - 8*y - 9*y). -18*y**2 Expand -8*z**2 + 8*z**2 - z**3 + (-3*z + 2*z - 5*z)*(0 + 2 + 3)*(-3*z**2 - 2*z**2 + 2*z**2). 89*z**3 Expand (l - l - l)*(-4*l + 4*l + 2*l)*(-39 - 38 + 27). 100*l**2 Expand ((-3*k - 3*k**2 + 3*k)*(4*k - 3*k - 2*k) + (2*k**3 + 6*k**3 + 9*k**3)*(2 + 2 - 5))*(-3*k**2 - 2*k**2 + 2*k**2). 42*k**5 Expand (0*n + 0*n + n**2)*(3 - 12 - 31)*(-5*n**3 + 0*n**3 + n**3). 160*n**5 Expand (-t - 3 + 3)*(-5 + 5 + t) + 5 - 3 + 17*t**2 + 0. 16*t**2 + 2 Expand -12*o + 2*o**2 + 12*o + (4 - 4 + 2*o)*(-2 + 2*o + 2) + 2*o**2 - o**2 - 3*o**2 - o + 2*o**2 + o + 7*o**2 - 2*o**2 + 12*o**2. 23*o**2 Expand (0*t**4 + t**4 + t**4)*(-2*t - t + 5*t) + 0*t**2 + 0*t**2 - 2*t**5 - 307*t**5 + 135*t**5 - 297*t**5. -467*t**5 Expand n**3 - 3*n**3 + 7*n**3 + (-4*n**2 - 19*n + 19*n)*(-3 + 3 + n) - n - 4*n**3 + n. -3*n**3 Expand z**2 + 0*z**2 + z**2 + (0 + 0 - 3*z)*(30*z + 43*z + 9*z). -244*z**2 Expand ((19 - 17 - 36)*(2*n**3 + n**3 - n**3) + 6*n**3 - 2*n**3 - n**3 + (-3*n**3 + 0*n**3 - n**2 + 4*n**3)*(1 - 2 + 4))*(n**2 + 2 - 2). -62*n**5 - 3*n**4 Expand (-15 + 17 - 8)*(4*m**2 - 4*m**2 - m + 2*m**2). -12*m**2 + 6*m Expand (-3*v + 0 + 2*v - 3 + (0*v + 3*v - v)*(-1 - 1 + 1))*(-v - 2*v + 0*v)*(4*v - 4*v + 11*v**2). 99*v**4 + 99*v**3 Expand (-1436 + 207*j + 1436)*(0 - 1 - 3). -828*j Expand (3*g + 5*g + g)*(-4 - 7 - 11). -198*g Expand (690*n**2 - 266*n**3 - 690*n**2)*(1 + 2 - 1). -532*n**3 Expand (433 + 490 - 1678 + 316)*(-3*q + 3*q + q)*(4 - 2 - 1). -439*q Expand (-p**2 - 2*p + 2*p)*(-5*p**2 + 2*p**2 + 5*p**2) + 36*p**4 + 70*p**4 + 70*p**4. 174*p**4 Expand (2 + 0 - 1 + (0 - 1 + 2)*(-4 + 0 + 2))*(-1 + 351*a - 1 - 432*a). 81*a + 2 Expand -2*j**3 + 0*j + 0*j + (-1 - 1 + 0)*(-4*j**3 + 2*j**3 + 0*j**3) + 2 + 11*j - 46*j**3 - 64*j**3 + 107*j**3. -j**3 + 11*j + 2 Expand (-6*h - 6*h**2 + 6*h)*(-3*h**2 - 3*h**2 + 4*h**2) + 1 + 22*h**4 + 29*h**4 - 53*h**4 - 22*h**3. 10*h**4 - 22*h**3 + 1 Expand (-7*t**5 + 3*t**5 + 3*t**5)*(-3 + 3 - 2) + 3*t**5 + 2*t**5 - 3*t**5 + 418*t**5 - 1250*t**5 - 980*t**5. -1808*t**5 Expand (-u + 5*u - u)*(-2 - 4 + 2)*(2 - 2 - 5). 60*u Expand (-39 + 61 + 83 + 51)*(g + 0*g - 3*g). -312*g Expand 2 + p - 2 + (3 - 3 + 5*p)*(7 - 3 - 3) - p - 5*p + 3*p + (-4 + 4 - p)*(1 - 6 + 3) + 2*p - 2*p - 3*p. 2*p Expand -2*y + y - y + (6*y + 5*y - 4*y)*(3 - 5 + 1) + 7*y - 2*y + 5*y. y Expand (56 - 10 + 2)*(-1 + 3 - 1)*(3*z + 2*z - 2*z). 144*z Expand (5 - 7 - 10)*(-m**3 + 0*m**3 + 0*m**3) + (3 - 3 - 2*m**3)*(0 + 0 - 2) - 3*m**3 + m**3 + 0*m**3. 14*m**3 Expand (-c + 2 + 4*c + 0*c)*(-2*c + 0*c + 0*c)*(-1 + 2 - 6). 30*c**2 + 20*c Expand (-17 + 1 + 2)*(4 - 4 - 2)*(-2 + 5 - 4)*(2 - 2 - 1)*(-5*x + 2*x - 2*x)*(0 + 1 + 0). -140*x Expand (x**2 - 4*x**2 + 4*x**2)*(2 - x - 2) - 116 - x**2 + 116 - 2*x**3 - 4*x. -3*x**3 - x**2 - 4*x Expand (6*f**2 + 7*f - 7*f)*(2*f**3 - 3 + 3) + f - f + f**5 + (2*f**2 - 3*f + 3*f)*(f**3 + f**3 + 0*f**3) + (-3*f**5 + 7*f**5 + 0*f**5)*(4 - 3 - 3). 9*f**5 Expand (4*c**3 - 4*c**3 + c**3)*(0 + 0 + c) + 4*c + 2*c**4 - 4*c + 0*c**4 + 58*c**4 - 2*c**4 - 2*c**3 + 2*c**4 +
{ "pile_set_name": "DM Mathematics" }
many grams are there in 6/5 of a kilogram? 1200 How many milligrams are there in 7654.353ng? 0.007654353 Convert 101191.5cm to nanometers. 1011915000000 What is one twentieth of a millisecond in nanoseconds? 50000 How many millilitres are there in 12/25 of a litre? 480 What is four fifteenths of a week in minutes? 2688 What is 1/5 of a hour in seconds? 720 What is 8.892475 kilograms in milligrams? 8892475 How many centimeters are there in 0.6933541 millimeters? 0.06933541 What is thirty-seven halves of a gram in milligrams? 18500 How many litres are there in 0.6118748 millilitres? 0.0006118748 How many millilitres are there in 21/5 of a litre? 4200 What is fourty-eight fifths of a litre in millilitres? 9600 How many micrometers are there in 1/10 of a meter? 100000 How many seconds are there in 3/10 of a minute? 18 What is 3/5 of a kilometer in meters? 600 How many centimeters are there in 3/5 of a meter? 60 What is 32/5 of a kilometer in meters? 6400 How many micrometers are there in 7/8 of a centimeter? 8750 How many millilitres are there in 93/4 of a litre? 23250 How many micrometers are there in 3/5 of a centimeter? 6000 What is 64.76857l in millilitres? 64768.57 What is 0.792987 millimeters in kilometers? 0.000000792987 What is 0.108002l in millilitres? 108.002 How many months are there in fourty-nine quarters of a century? 14700 How many millilitres are there in five eighths of a litre? 625 What is 0.7703489ml in litres? 0.0007703489 How many centimeters are there in 29/5 of a meter? 580 Convert 397735.3 centuries to years. 39773530 What is 5850.348 milligrams in kilograms? 0.005850348 What is 6/5 of a millennium in months? 14400 Convert 15773.51t to micrograms. 15773510000000000 What is 615263.3t in micrograms? 615263300000000000 What is 7/4 of a century in years? 175 Convert 51.53091t to nanograms. 51530910000000000 How many months are there in three eighths of a millennium? 4500 What is 6/25 of a millennium in months? 2880 Convert 4579349.67 minutes to weeks. 454.3005625 How many hours are there in 5/4 of a week? 210 How many nanoseconds are there in 196929.8s? 196929800000000 How many tonnes are there in 3575.571 nanograms? 0.000000000003575571 How many litres are there in 22026.61 millilitres? 22.02661 Convert 8.967518ml to litres. 0.008967518 Convert 0.5888054 centuries to millennia. 0.05888054 What is 3/25 of a litre in millilitres? 120 What is 7058736.9 nanoseconds in hours? 0.00000196076025 What is 6/25 of a meter in millimeters? 240 How many decades are there in 0.7791705 years? 0.07791705 How many nanometers are there in 1/4 of a micrometer? 250 How many centuries are there in 10.20167 years? 0.1020167 How many millilitres are there in 26.27324l? 26273.24 What is 2077.86 tonnes in nanograms? 2077860000000000000 What is 25/8 of a litre in millilitres? 3125 What is 3/50 of a millimeter in micrometers? 60 What is 44.45183 litres in millilitres? 44451.83 What is 1.395909l in millilitres? 1395.909 What is 1/16 of a millimeter in nanometers? 62500 Convert 0.2763019 decades to centuries. 0.02763019 Convert 1875.471km to meters. 1875471 What is 47/4 of a millimeter in micrometers? 11750 Convert 0.5859694kg to nanograms. 585969400000 How many milligrams are there in 1166.296 tonnes? 1166296000000 Convert 6.289062 weeks to minutes. 63393.74496 Convert 23.05121 nanometers to meters. 0.00000002305121 What is 62712.84l in millilitres? 62712840 How many millilitres are there in three eighths of a litre? 375 How many millilitres are there in seventeen quarters of a litre? 4250 How many grams are there in 0.4256782ug? 0.0000004256782 What is 13/5 of a microgram in nanograms? 2600 How many micrometers are there in 3/32 of a meter? 93750 How many milligrams are there in 11/8 of a gram? 1375 How many micrometers are there in 81932.18mm? 81932180 Convert 0.4446303m to micrometers. 444630.3 What is 11/8 of a minute in milliseconds? 82500 Convert 0.7566215 years to millennia. 0.0007566215 How many nanograms are there in fifty-one fifths of a microgram? 10200 How many micrometers are there in 15/4 of a centimeter? 37500 How many millilitres are there in 929.9333l? 929933.3 How many micrometers are there in 960933.2m? 960933200000 Convert 4.82617m to micrometers. 4826170 Convert 221.65116 months to decades. 1.847093 How many centimeters are there in 857.7617 micrometers? 0.08577617 How many microseconds are there in 3/8 of a millisecond? 375 How many millilitres are there in 22486.89 litres? 22486890 What is 4.744149 millilitres in litres? 0.004744149 Convert 52.19284mg to tonnes. 0.00000005219284 What is 12.414123 hours in days? 0.517255125 Convert 3.65414 years to centuries. 0.0365414 Convert 606899.4 millimeters to meters. 606.8994 What is 3/40 of a meter in millimeters? 75 How many litres are there in 0.9151103ml? 0.0009151103 What is one tenth of a milligram in nanograms? 100000 Convert 0.4343706 decades to millennia. 0.004343706 How many years are there in 0.3303583 decades? 3.303583 What is 5/4 of a litre in millilitres? 1250 What is twenty-one fifths of a millimeter in micrometers? 4200 Convert 71503.45ml to litres. 71.50345 Convert 0.1195263nm to centimeters. 0.00000001195263 What is seven halves of a millennium in decades? 350 How many meters are there in 6.410173 micrometers? 0.000006410173 Convert 956174.7cm to kilometers. 9.561747 How many nanometers are there in eleven quarters of a micrometer? 2750 Convert 0.0420419 millilitres to litres. 0.0000420419 How many days are there in 29.227533 hours? 1.217813875 How many micrograms are there in 9/10 of a milligram? 900 What is 447710.7 kilometers in meters? 447710700 How many micrograms are there in 17381.44g? 17381440000 What is one sixth of a week in hours? 28 Convert 1801.894t to nanograms. 1801894000000000000 What is 15/4 of a millimeter in micrometers? 3750 How many micrometers are there in 8/25 of a centimeter? 3200 How many minutes are there in sixteen ninths of a day? 2560 What is 193.3027l in millilitres? 193302.7 How many decades are there in 4.586029 years? 0.4586029 Convert 0.278054 litres to millilitres. 278.054 How many nanograms are there in 741.2561g? 741256100000 Convert 31.60178ug to nanograms. 31601.78 How many centuries are there in twenty-seven fifths of a millennium? 54 What is 5.245633 centuries in months? 6294.7596 How many grams are there in 3/40 of a kilogram? 75 What is 604.0148nm in micrometers? 0.6040148 Convert 8088.715s to microseconds. 8088715000 What is 51/5 of a tonne in kilograms? 10200 What is six fifths of a century in years? 120 What is 1/4 of a kilogram in grams? 250 How many centuries are there in 734.1321 decades? 73.41321 Convert 35975.04nm to meters. 0.00003597504 What is three fifths of a litre in millilitres? 600 How many months are there in 4438.071 millennia? 53256852 How many seconds are there in 15/16 of a hour? 3375 Convert 17238.81 micrograms to milligrams. 17.23881 What is seventy-four fifths of a litre in millilitres? 14800 What is 3/50 of a tonne in grams? 60000 How many grams are there in three eighths of a kilogram? 375 What is 67.75231 years in decades? 6.775231 How many centuries are there in 744351.8 years? 7443.518 Convert 230.2709 nanograms to micrograms. 0.2302709 Convert 94.59532 kilometers to micrometers. 94595320000 What is sixty-one halves of a micrometer in nanometers? 30500 How many millilitres are there in thirty-seven fifths of a litre? 7400 How many litres are there in 2294.042 millilitres? 2.294042 How many hours are there in two sevenths of a week? 48 What is 140.21937 microseconds in days? 0.000000001622909375 What is 453.3852cm in millimeters? 4533.852 How many millilitres are there in 3/5 of a litre? 600 How many litres are there in 7467.86 millilitres? 7.46786 What is 6886118.4 hours in weeks? 40988.8 How many months are there in 59/4 of a year? 177 What is 260.1224 centimeters in micrometers? 2601224 What is three fifths of a micrometer in nanometers? 600 What is 3/10 of a meter in millimeters? 300 How many litres are there in 84674.55 millilitres? 84.67455 How many months are there in 15/4 of a century? 4500 What is 606077.5kg in nanograms? 606077500000000000 How many decades are there in 1/5 of a millennium?
{ "pile_set_name": "DM Mathematics" }
r wrt r. 404*m**2 - 6299 Find the third derivative of -23163986*d**3*u**3 + d**2*u**3 - 27*d**2*u**2 - 4*d*u + 11327*u**2 wrt d. -138983916*u**3 Find the third derivative of 6380995*r**3 + 1950*r**2 + 535*r wrt r. 38285970 Find the second derivative of -6316289*f**3 - 2468355*f. -37897734*f What is the derivative of 76986*m**3*r + 1278*m*r - 44389250*r wrt m? 230958*m**2*r + 1278*r Differentiate 141*h**2*p**2 + 330*h**2 - 7*h + 77*p**2 - 1484658 wrt h. 282*h*p**2 + 660*h - 7 Differentiate -3239*h*p**3 + 12*h*p**2 + 2*h*p - 3*h - 21951438*p**3 wrt h. -3239*p**3 + 12*p**2 + 2*p - 3 What is the third derivative of -221149978*l**3 - 2*l**2 + 319640*l + 247 wrt l? -1326899868 What is the first derivative of 10*n**4*z + 2*n**3 - 7503008*n*z - 4636*z - 19545 wrt n? 40*n**3*z + 6*n**2 - 7503008*z What is the third derivative of 6*b**5 + 289723*b**4 - 188*b**2 - 692*b - 1? 360*b**2 + 6953352*b Find the third derivative of 799804180*g**3 - 4*g**2 + 2*g + 52883589. 4798825080 What is the first derivative of 4*a*u*z**2 - 102*a*u + 6*a + 7*u*z**2 + 88648*z**2 - 4 wrt z? 8*a*u*z + 14*u*z + 177296*z What is the third derivative of -699405885*y**3 - y**2 - 72302269*y + 2? -4196435310 Find the third derivative of -938565259*o**3 - o**2 - 499*o + 1032 wrt o. -5631391554 What is the third derivative of -76*z**5 + 668*z**4 + 40*z**3 + 12874504*z**2 wrt z? -4560*z**2 + 16032*z + 240 Find the second derivative of 11085177*o**2 - 37782*o - 990 wrt o. 22170354 Differentiate -1402*d*o**3 + 3191*d*o - 330*d + o**3 + 12136 wrt o. -4206*d*o**2 + 3191*d + 3*o**2 Find the third derivative of -5475991*k**5 + 32222*k**2 + 349*k wrt k. -328559460*k**2 What is the first derivative of 59*p**2 - 84109*p - 29168880? 118*p - 84109 What is the second derivative of 50559203*k**2*m - k**2 + 13*k*m + 5*k + 74814*m wrt k? 101118406*m - 2 What is the first derivative of -202799*l*m**3 + 2*l - 3*m**3 - m + 64676122 wrt m? -608397*l*m**2 - 9*m**2 - 1 Differentiate 201*d**2 + 98077*d + 4431285 wrt d. 402*d + 98077 Find the third derivative of 27*b*v**3*x - 11*b*v**3 + 13686895*b*v**2 + 22*v**3*x - 23*v**3 + v**2*x wrt v. 162*b*x - 66*b + 132*x - 138 Find the third derivative of 30786771*n**6 + 14551*n**2 - 496 wrt n. 3694412520*n**3 What is the derivative of -6381503*g**2 - 7446763? -12763006*g What is the second derivative of v**5 + 6131721*v**2 - 180639797*v wrt v? 20*v**3 + 12263442 Find the second derivative of 13865342*s**2 - 91672718*s wrt s. 27730684 What is the first derivative of -4211*w**2 + 42*w + 2160797 wrt w? -8422*w + 42 What is the first derivative of -876*c**3*d**2 - 78*c**3 + 23*c**2 - 56*c*d**4 + 2*c - 15*d + 776 wrt d? -1752*c**3*d - 224*c*d**3 - 15 Differentiate -7725496*d - 3568788 with respect to d. -7725496 Find the second derivative of -6039478*u**2 + 7102870*u - 1 wrt u. -12078956 What is the second derivative of -30*l**3 + 103837*l**2 - 11100735*l wrt l? -180*l + 207674 What is the first derivative of -7130*u*x + 671*u - 163139849*x wrt u? -7130*x + 671 What is the derivative of 12949674*y**4 - 20542456? 51798696*y**3 Find the second derivative of 8*x**3 + 463765*x**2 + 262*x - 25685 wrt x. 48*x + 927530 What is the third derivative of -21256730*n**3 + 86*n**2 + 34699? -127540380 What is the third derivative of -35363133*j**5 + 14927008*j**2? -2121787980*j**2 What is the third derivative of 16096*b**3*k - 792*b**3 - 2*b**2*k + b*k - 1643*b + 422 wrt b? 96576*k - 4752 Differentiate -887901*x + 106988736 with respect to x. -887901 What is the second derivative of -201406906*s**5 - s - 118836735? -4028138120*s**3 What is the second derivative of -83*m**2*z**2 + m**2 - 107632*z**2 - 4407783*z - 5 wrt z? -166*m**2 - 215264 What is the second derivative of 104184336*n**2 - 3582*n + 1882? 208368672 Find the first derivative of -x**4 - 4254*x**3 + 39*x + 27432702. -4*x**3 - 12762*x**2 + 39 Find the second derivative of 2730*j**2*r*t - 34*j**2*t - 51*j**2*w - 2*j*r - 2021*j + 3*r*t*w - 3*r + 32*t*w wrt j. 5460*r*t - 68*t - 102*w What is the third derivative of 406138904*n*q**3*w**2 - 2*n*q**3*w + n*q**2*w**2 - n*q*w**2 - 13*n*q*w - 974*n*w + 6*q**2*w - 2*q*w + 12*w wrt q? 2436833424*n*w**2 - 12*n*w Differentiate -2973903*r**2 - 28487144 with respect to r. -5947806*r Find the third derivative of -131*s**5 - 27119*s**4 + s**3 - 54701457*s**2 wrt s. -7860*s**2 - 650856*s + 6 What is the first derivative of l*z**2 + 9122*l*z + 2166*l - 2*z**2 - 367261619*z wrt l? z**2 + 9122*z + 2166 Find the second derivative of 3*b**5 - 72*b**4 + 571*b**3 - 226136598*b. 60*b**3 - 864*b**2 + 3426*b What is the first derivative of -75361490*f**4*n + 80380944*n wrt f? -301445960*f**3*n Find the second derivative of 37864*t**5 + 33*t**2 - 3141*t + 537 wrt t. 757280*t**3 + 66 Find the second derivative of 2*s**3*t*x - 501*s**3 + 138*s**2*t**2 - 11*s*t**2*x - 3*s*t**2 - 25*s*t*x + s*x + s + 4 wrt s. 12*s*t*x - 3006*s + 276*t**2 What is the third derivative of 184245476*f**5 + 179360343*f**2 wrt f? 11054728560*f**2 Differentiate -163265789*j*t - 920286*j - 26 wrt t. -163265789*j What is the third derivative of -81076808*j**5 - 77752*j**2 + 9*j + 24 wrt j? -4864608480*j**2 Find the second derivative of -63*c*g**2*o - 2*c*g + 5*c*o**2 + 23947*c*o + 40627115*g**2*o**2 + 22*g**2*o wrt o. 10*c + 81254230*g**2 What is the third derivative of 673028*z**4 - 11*z**3 - 8767860*z**2? 16152672*z - 66 Find the third derivative of 12*p**3*z**3 - 28*p**3*z**2 - 5*p**3*z - 94232*p**2*z**3 + p**2*z**2 + p*z**3 - z**2 - 346 wrt z. 72*p**3 - 565392*p**2 + 6*p What is the second derivative of -26*o*z**3 - 35*o*z**2 - 355*o*z - o - 79552*z**2 - 2*z + 7515 wrt z? -156*o*z - 70*o - 159104 Find the third derivative of 1701836*j**5*k - 14*j**3*k + 2*j**2*k - 128*j*k - 2*j + 520*k + 127 wrt j. 102110160*j**2*k - 84*k Differentiate 85960*b**3*w - 2*b**3 + 412*b**2 + 2266*b - 158*w + 2 wrt w. 85960*b**3 - 158 What is the second derivative of 188892641*i**3*v**2 - 25*i**3*v + i**3 - 301354*i*v wrt v? 377785282*i**3 What is the derivative of 3*f**3 + 340710284*f + 605541282 wrt f? 9*f**2 + 340710284 Find the second derivative of 105186668*g**5 - 77*g - 301904 wrt g. 2103733360*g**3 Find the third derivative of 2*j**4 + 351225489*j**3 - 302985106*j**2. 48*j + 2107352934 What is the second derivative of 66321260*n**4 - 4904039*n? 795855120*n**2 Find the second derivative of -480*b**2*m*q + 4*b**2*q**2 - b**2*q - 3*b*m*q**2 + 11*b + 8484*m*q**2 - 30*m*q + 3*q wrt q. 8*b**2 - 6*b*m + 16968*m Differentiate -140004790*k**2 - 33176521 wrt k. -280009580*k Differentiate 251*b*z**2 - 10*b*z + b - 1697*z**2 - 15935263 with respect to z. 502*b*z - 10*b - 3394*z What is the derivative of -m**3 - m**2 - 14345071*m - 236434745 wrt m? -3*m**2 - 2*m - 14345071 Find the second derivative of 597764*d*n**2*o + d*n*o - 5646*d*n - d - 41*n**2*o + 36*n wrt n. 1195528*d*o - 82*o What is the first derivative of 7*b*c**2 + 11*b*c - 11529*b - 2114*c**2 - 80202*c - 1 wrt b? 7*c**2 + 11*c - 11529 Differentiate -2*c**3*n - 3*c**3 + 2*c**2*n - 245*c*n - 10989*c + 293*n - 4 with respect to n. -2*c**3 + 2*c**2 - 245*c + 293 Differentiate 7969*g**4 + 15395*g - 666747187. 31876*g**3 + 15395 What is the second derivative of 160763*l**4 - 20*l**3 - 20591967*l wrt l? 1929156*l**2 - 120*l Find the second derivative of 14844833*o**2 + 10652990*o wrt o. 29689666 Differentiate 11127059*f**2 + 11658793. 22254118*f What is the third derivative of 3391*c**5*p - 10341*c**4*p**2 + 192*c**2*p + 707*c + 157*p**2 wrt c? 203460*c**2*p - 248184*c*p**2 What is the third derivative of -4831097*w**3 + 1977*w**2 - 5927*w - 1 wrt w? -28986582 Find the first derivative of -39*t**4*z + 5839*t**2*z + t*z + 6082815*z wrt t. -156*t**3*z + 11678*t*z + z Find the second derivative of -11380871*m**2 + 5954161*m. -22761742 Find the second derivative of -15180620*s**3 - 35906227*s wrt s. -91083720*s What is the first derivative of 321715*j*r - 6*j + 13168346*r wrt j? 321715*r - 6 What is the third derivative of -796182025*r**6 - r**2 - 17184402*r - 1? -95541843000*r**3 Find the first derivative of d*h*m*u**2 + 38120498*d*h*u + 101*d*m*u + d*u**3 + 2*d - h*u**3 + 195*m*u - 2*m + 16 wrt h. d*m*u**2 + 38120498*d*u - u**3 Find the first derivative of -641463413*q**3 - 196622416 wrt q. -19243
{ "pile_set_name": "DM Mathematics" }
813 and 7181. 7181 What is the greatest common divisor of 296418332 and 392? 28 Calculate the greatest common divisor of 1405 and 15005. 5 Calculate the highest common factor of 128079099 and 534. 267 Calculate the greatest common factor of 16919945 and 2205. 245 What is the highest common factor of 36 and 266038212? 12 Calculate the greatest common divisor of 287673344 and 2048. 1024 Calculate the greatest common divisor of 13596 and 193466548. 4532 Calculate the highest common factor of 181044 and 4544932. 428 Calculate the highest common divisor of 5790 and 92059070. 1930 What is the highest common factor of 32741 and 6177? 29 Calculate the highest common factor of 26797 and 313335. 211 Calculate the highest common divisor of 63738977 and 19. 19 Calculate the highest common divisor of 1125146 and 2570. 514 What is the highest common divisor of 4446 and 2093382? 342 Calculate the greatest common factor of 6072 and 4439. 23 Calculate the highest common divisor of 4949 and 1441573. 707 Calculate the greatest common divisor of 2321 and 389125. 11 Calculate the greatest common divisor of 195065009 and 347. 347 What is the greatest common divisor of 1045704 and 2376? 264 What is the greatest common divisor of 6966 and 27086130? 2322 Calculate the greatest common divisor of 22 and 14593007. 11 What is the greatest common divisor of 53289 and 3158559? 279 What is the greatest common factor of 33 and 23553618? 33 What is the greatest common factor of 525 and 20505? 15 What is the highest common factor of 3718 and 786511? 11 What is the highest common divisor of 219633935 and 10? 5 What is the greatest common divisor of 29169 and 12411? 63 Calculate the highest common divisor of 241331 and 33197. 373 What is the greatest common divisor of 5889349 and 248? 31 What is the greatest common factor of 1036134 and 21582? 198 What is the greatest common factor of 82840 and 27359545? 545 Calculate the highest common divisor of 65 and 143150748. 13 Calculate the highest common factor of 9633 and 3533088. 741 Calculate the greatest common factor of 6633703 and 18299. 631 What is the greatest common factor of 1617 and 2198581? 539 Calculate the greatest common divisor of 37094280 and 4700. 940 What is the highest common divisor of 11596 and 236964? 52 Calculate the highest common divisor of 5026 and 374276168. 5026 Calculate the highest common factor of 518 and 201792154. 74 Calculate the greatest common factor of 3725 and 44315878. 149 Calculate the greatest common divisor of 453880 and 3220. 140 Calculate the greatest common factor of 594964527 and 657. 219 What is the greatest common factor of 18547049 and 911? 911 What is the highest common factor of 344539 and 104? 13 What is the highest common factor of 133815 and 488730? 165 Calculate the highest common divisor of 6864 and 754512. 528 Calculate the greatest common divisor of 14941 and 4355. 67 Calculate the highest common divisor of 8608518 and 116154. 486 Calculate the greatest common factor of 2989640 and 5611. 31 What is the greatest common factor of 56 and 9661414? 14 Calculate the greatest common factor of 243659159 and 983. 983 What is the highest common divisor of 80935426 and 208? 26 What is the greatest common divisor of 51597 and 1067391? 351 What is the highest common factor of 6 and 3447942? 6 What is the greatest common factor of 719 and 127344247? 719 Calculate the highest common divisor of 3405 and 5221681. 227 Calculate the highest common factor of 512219 and 11124. 103 Calculate the greatest common factor of 9 and 17495733. 3 What is the highest common divisor of 12131918 and 53846? 4142 What is the highest common factor of 1199449293 and 42? 21 What is the greatest common divisor of 1 and 18802439? 1 What is the highest common factor of 118 and 1315540051? 59 What is the highest common factor of 1014544 and 64? 16 Calculate the greatest common divisor of 2312 and 102079424. 2312 What is the greatest common divisor of 15501 and 8754? 3 Calculate the highest common divisor of 75802056 and 18. 6 Calculate the greatest common divisor of 17783498 and 2362. 2362 What is the greatest common factor of 1749 and 349840227? 1749 Calculate the highest common divisor of 37277096 and 8. 8 What is the highest common divisor of 223871 and 152784? 1061 What is the greatest common divisor of 37403833 and 5515? 1103 What is the greatest common factor of 1523862 and 278? 2 Calculate the greatest common divisor of 5266449 and 444. 3 What is the highest common factor of 35730587 and 2? 1 Calculate the highest common divisor of 7190 and 717042882. 1438 What is the greatest common factor of 52311822 and 135966? 4386 Calculate the highest common divisor of 10725759 and 66. 33 Calculate the highest common factor of 90055 and 119. 7 What is the highest common factor of 111575176 and 86606? 6662 What is the highest common factor of 2569389090 and 30? 30 What is the greatest common divisor of 9140736 and 2068? 44 What is the greatest common divisor of 2679 and 1042272? 141 Calculate the greatest common divisor of 21773872 and 6392. 136 What is the highest common factor of 52326 and 8226? 18 What is the highest common factor of 14 and 31600524? 2 What is the highest common divisor of 171105571 and 13013? 1183 What is the highest common factor of 57915 and 1201915? 715 What is the highest common divisor of 2936 and 242585532? 1468 What is the greatest common factor of 1122629 and 391? 17 What is the highest common divisor of 2845687 and 6396? 533 What is the greatest common divisor of 9646 and 6627173? 371 What is the greatest common divisor of 338911 and 227908? 227 What is the greatest common divisor of 18263 and 12134459? 2609 Calculate the greatest common factor of 1083444 and 9312. 12 Calculate the greatest common factor of 3420520 and 24. 8 Calculate the greatest common divisor of 480 and 2415040. 160 Calculate the greatest common factor of 3552 and 2018128. 592 Calculate the greatest common factor of 44460 and 135204. 228 Calculate the greatest common factor of 27 and 107031. 3 Calculate the greatest common divisor of 4518241 and 24739. 2249 What is the highest common factor of 70281 and 47054979? 3699 Calculate the highest common factor of 7418640 and 640. 80 Calculate the highest common divisor of 912 and 94187940. 228 Calculate the greatest common factor of 10832 and 1216. 16 Calculate the greatest common factor of 399 and 2575013. 133 What is the highest common divisor of 2808 and 63779508? 1404 Calculate the highest common factor of 24475988 and 9248. 1156 Calculate the greatest common factor of 588296 and 1466512. 1208 What is the greatest common factor of 484 and 151628? 4 Calculate the highest common factor of 3139 and 816155695. 3139 What is the greatest common factor of 20885839 and 39? 13 Calculate the highest common divisor of 1170 and 7908840. 90 What is the highest common divisor of 2618 and 446544? 14 Calculate the greatest common divisor of 250510269 and 57. 57 Calculate the greatest common divisor of 14791557 and 93. 93 Calculate the greatest common divisor of 1207400 and 15. 5 Calculate the greatest common divisor of 2028 and 35632974. 1014 Calculate the greatest common divisor of 25 and 2358756. 1 What is the greatest common factor of 36 and 18022112? 4 Calculate the highest common divisor of 133 and 96432809. 19 What is the greatest common factor of 36628893 and 189? 63 Calculate the greatest common divisor of 792 and 143119944. 792 What is the highest common divisor of 2032953 and 1404? 39 Calculate the greatest common divisor of 9015 and 51600. 15 What is the greatest common factor of 29610 and 5228370? 630 What is the greatest common divisor of 10061088 and 4224? 96 What is the highest common divisor of 31214265 and 10227? 1461 Calculate the highest common factor of 100397759 and 154. 77 What is the greatest common divisor of 663 and 89629423? 221 What is the greatest common factor of 25289891 and 60203? 4631 Calculate the greatest common divisor of 80882 and 4636506. 2186 What is the highest common factor of 38937927 and 21? 21 Calculate the greatest common divisor of 8830264 and 10840. 2168 What is the highest common factor of 197330749 and 154? 77 What is the highest common factor
{ "pile_set_name": "DM Mathematics" }
z Expand (h**3 + 0*h**3 - 2*h**3 + (-3 - 8*h + 3)*(-h**2 + 5*h**2 - 2*h**2))*(-27*h**2 - 28*h**2 - 44*h**2). 1683*h**5 Expand (-8 - 2*n**2 + 8 - n**2 - n + n + (-2*n**2 + 3 - 3)*(0 - 2 + 1) + 3*n**2 + n**2 - 2*n**2)*(-n + 4*n - 2*n + (4*n - n - 5*n)*(3 + 1 - 5)). 3*n**3 Expand (-x**2 - x**2 + 3*x**2)*(-11 + 3*x + 13 - 12). 3*x**3 - 10*x**2 Expand (-1 - g + 1 + (4 - 4 + 2)*(-3*g - 4*g + 5*g))*(87*g - 287*g - 146*g). 1730*g**2 Expand ((2*s + 0 + 0)*(0 + 1 - 3 + 2 - 2 + 2 + (-4 + 5 - 3)*(-3 + 0 + 2)) + (-s + 2*s - 3*s)*(1 + 0 + 0))*(-4 - 2 + 2)*(2*s**2 - 6*s**2 - 9*s**2). 104*s**3 Expand (0 - 3 + 2)*(83*b**2 + 63*b**2 + 221*b**2)*(5*b - 3*b + 0*b). -734*b**3 Expand (25 + 3 - 52)*(-k + k + k) - 2*k + k + 3*k + (3*k + 2*k - 4*k)*(0 - 2 + 1). -23*k Expand (-3 + 6 - 4)*(171 - 2*n - 88 - 88) - 2*n + 4*n + 0*n. 4*n + 5 Expand (0 + 0 + 1)*(3 + 2*u - 3)*(-12*u - 12*u - 88*u). -224*u**2 Expand (1 - 1 - 2*d - 2)*(189*d**2 - 5*d**2 + d**3 + d**3). -4*d**4 - 372*d**3 - 368*d**2 Expand (-1 + 1 - 4*q)*(-1 + 1 + 11) + 0*q + 2*q - 3*q - 1. -45*q - 1 Expand (-64*v + 73*v + 103*v)*(2 - 1 + 0)*(0*v + 0*v + 3*v**3). 336*v**4 Expand (-4 + 1 + 2)*((-4*b + 3*b + 2*b)*(-3*b + 4*b + 0*b) - 2 + 2 - 5*b**2) + (-10*b + 0 + 0)*(-b + b + b). -6*b**2 Expand (2 + 2 - 3)*(-d**2 + 3*d - 3*d) - 4*d**2 + 2*d**2 + d**2 + d**2 + d**2 + d**2 + (2*d + d - 4*d)*(-2*d + d + 2*d) + 38*d**2 - 15*d**2 + 20*d**2. 43*d**2 Expand (-o + 0 - 3 - o)*(-112 + 73 - 21)*(4*o - 2*o + 0*o). 240*o**2 + 360*o Expand (5*j + 0*j + j)*(6*j - 2*j - j) + 4*j**2 + j**2 + 2*j**2. 25*j**2 Expand 21*o - 7*o - 11*o + (4*o + 0*o - 5*o)*(3 + 1 + 3). -4*o Expand (65*u**2 + 18*u**2 - 6*u**2)*(3*u - 3*u + u**2). 77*u**4 Expand (0 + 4 - 2*r - 3)*(-146*r**3 + 74*r**3 + 16*r**3). 112*r**4 - 56*r**3 Expand (-1 + 5 - 5)*(3*n**5 - 3*n**5 + 2*n**5) + 42*n**5 + 32*n**5 + 42*n**5. 114*n**5 Expand (-1206*f - 280249 + 280249 + 5639*f)*(-1 + 1 - f). -4433*f**2 Expand (-3*y**2 - y + y)*((0*y**2 + y**2 - 2*y**2)*(-6 + 2 + 2)*(-7*y + 5*y + 3*y) + 2 + y**3 - 2 + (2*y + 2*y - 6*y)*(-y**2 - 1 + 1) + y**3 + 4 - 4). -18*y**5 Expand -6*g**4 + 19*g**4 - 4 + 4 + (-2*g**3 + 4*g**3 + 0*g**3)*(67*g + 75*g - 158*g). -19*g**4 Expand (-2 + 30 - 143)*(-5 + 3 + 0)*(0*u + 0*u - 3*u). -690*u Expand (-59 + 14 - 7 - 18)*(1 + 2*p - 1). -140*p Expand (-p - 3*p**2 - 7*p + 4*p)*(-p**2 + 13*p**3 + p**2). -39*p**5 - 52*p**4 Expand (u + 0*u - 2*u)*(-5 + 7 - 9 + 5 - 3 + 1 + (5 - 2 - 4)*(1 - 2 + 0) + 3 + 1 - 2)*(4*u - 5*u + 2*u). u**2 Expand ((2*h**2 - 3*h**2 + 2*h**2)*(4 - 4 + 2*h) - 4*h + 4*h**3 - 7*h**2 + 2*h - 3*h**3)*(-2*h - 3 + 3). -6*h**4 + 14*h**3 + 4*h**2 Expand (3*v - 1 + 1)*(-5*v + 0*v - 3*v)*(v - 4*v + v)*(-12*v + 6*v - 13*v) - v**4 + 4*v**4 - 2*v**4. -911*v**4 Expand (6 - 14 - 2)*((3 + 2*c - 3)*(2 - 3 + 2) + (3 - 2 - 3)*(-6*c + 2*c + 0*c)). -100*c Expand (1 - 2 + 3 + (-4 + 4 + 1)*(-1 + 0 + 2) + 10 - 14 - 11)*(-4 + 4 + 3*n). -36*n Expand (-18*t + 0*t - 15*t)*(-16 - 3 + 32)*(-4 + 2 + 3). -429*t Expand (-3*c - 3*c + 5*c)*(0 - 4 + 5) - 6*c - 10 + 10 + (3 - 5 + 0)*(2*c - 7*c + 3*c) - 3*c + c + 0*c + (-4*c + 2*c + c)*(2 - 1 + 0). -6*c Expand (-r**3 - 2*r**3 + 2*r**3)*(-3*r + 3*r + 2*r)*(-30 - 5*r + 55 - 35). 10*r**5 + 20*r**4 Expand (21 + 2*h - 6*h - 23)*(-3*h + 7*h + 16*h). -80*h**2 - 40*h Expand -3*d**2 + 37*d**2 - d**2 + (0*d + d - 2*d)*(5*d - 6*d + 0*d) + 2*d**2 + 18*d**2 - 4*d**2. 50*d**2 Expand 0*z**5 - 3*z**5 + z**5 + (-z**3 + 3*z - 3*z)*(-z + 3*z - 4*z)*(-16*z - 9*z + 4*z). -44*z**5 Expand (34 + 9 - 24)*(7*w - 1 - w - 1)*(0*w + 0*w - 2*w**4). -228*w**5 + 76*w**4 Expand h - 3*h - h + (0*h - 3*h + h)*(3 + 2 - 3) + 2*h - 3*h + 0*h + (2 + 1 - 1)*(4*h - 4*h + h). -6*h Expand 542 - 542 + 71*i**3 + 4*i**3 - 4*i**3 + i**3 + (i + 0*i - 3*i)*(-i**2 - i**2 + 3*i**2) + 3*i - 3*i - 2*i**3 + i**3 - 1 + 1. 69*i**3 Expand (37*n**3 + n**3 + 32*n**3)*(0*n**2 - n**2 + 0*n**2) + (-3*n**3 + 4*n**3 + 2*n + n**3)*(4*n**2 + 0*n**2 - 2*n**2). -66*n**5 + 4*n**3 Expand ((-4 + 4 - j)*(-2 + 2 - j) + 2*j**2 - 2*j**2 - 2*j**2 + 3*j**2 + 2*j**2 - 6*j**2 + 10 - 4*j**2 - 10)*(-3*j**2 - j**2 + 2*j**2). 12*j**4 Expand (-3*k**2 + 3*k**2 - 2*k**2)*(-58*k - 58*k - 2 + 88*k) + (0*k**2 + 3*k**2 - k**2)*(2 + 2*k - 2). 60*k**3 + 4*k**2 Expand (6 + 13 - 5 + 51)*(6 - 6*c - 6). -390*c Expand (-4 + 1 + 2)*(15 - 2*y - 15)*(4*y + 15*y + 4*y). 46*y**2 Expand (-1 - 2 + 4)*(1 + 4 + 1)*(-9*f - 19 + 19). -54*f Expand (-2*p**2 - 4*p**2 + 0*p**2)*((7 + 0 - 1)*(-5*p + 2*p + p) - 17 + 17 - 5*p). 102*p**3 Expand -4*j - 2*j + 5*j + 2*j - 3 + 3 + (-2*j + 5*j - j)*(1 + 1 + 0) - j + 0*j + 3*j - 9 - 3 - 2*j + 5. 5*j - 7 Expand (0 - 6 + 5)*((-2 - 1 + 1)*(0 - 3 + 2) - 446 + 151 + 160)*(2*p**4 + 0*p**4 - 4*p**4). -266*p**4 Expand (-12 - 22 - 7)*(-3*i + i + 0*i)*(-2 + 5 - 1)*(3*i - 5*i + i)*(4 - 3 - 2)*(-3*i + 4*i - 2*i). -164*i**3 Expand (-5 + 0*k + 3 - k)*((-6*k + 3*k + 4*k)*(0 - 5 + 3) - 3*k + k - k). 5*k**2 + 10*k Expand (-6*h + 3*h + 2*h)*(2*h + 3*h + 32*h). -37*h**2 Expand ((-2 + 1 + 3)*(3 + 0 + 3) + 2 - 4 + 3)*(1 - 4 + 0)*(2*g - 3*g - g) + (-2*g + 5*g - 4*g)*(2 + 0 + 0). 76*g Expand 27*k + 31*k + 47*k + (1 - 4 + 2)*(-k + 6*k - 3*k). 103*k Expand ((0*m**2 - 6*m**2 - m**2)*(2*m - 4*m - m) - 4*m**3 + 2*m**3 + 6*m**3)*(0 + 0 + m)*(2 - 7 + 3)*(-2 + 4 - 1). -50*m**4 Expand (-2 + 5 - 2)*(r**4 - 3*r**4 + r**4 + (-4*r**2 - 2*r**3 + 4*r**2)*(-3*r + 0*r + r) - 97*r**4 - 43859 + 43859). -94*r**4 Expand (-8*o**2 - 21*o**2 + 22 - 19)*(3*o**3 + 0*o + 0*o). -87*o**5 + 9*o**3 Expand (-1 - 3 + 3)*(2 - 2 + 2)*(-7*f - 13*f + 9*f)*(2 + 1 - 2). 22*f Expand -77*i**5 - 273*i**5 + 0*i**5 + (-i**4 + 2*i**2 - 2*i**2)*(i - i - i) - 4*i**5 + 2*i**5 + i**5. -350*i**5 Expand (-5*b**5 - 1 + 1 + (-b**4 + 3*b**4 + 0*b**4)*(-2*b - 5*b + b))*(0 + 1 - 2). 17*b**5 Expand (1042*c + 83117 - 83117)*(-c**2 + 6*c**2 - c**2). 4168*c**3 Expand (2 + 0 - 5)*(0*n**2 - 2*n**2 + 4*n**2) - 2*n**2 + 2 - 2 - 12*n**2 + 17*n**2 + 26*n**2. 23*n**2 Expand (k + 0 + 0)*(5 + 2*k - 5 + (k - 5*k + 5*k)*(2 + 3 - 3) + k + 1 - 1 - 2 + 2 - 3*k - 5*k - 7 + 7). -3*k**2 Expand (-t + 2*t + t)*(-2 - 1 + 1) - 2 + 2 - t + 36*t + 2*t - 9*t. 24*t Expand (23 - 11 + 28)*(-c**3 + 6*c**3 - c**3). 160*c**3 Expand (-2 + c**2 + 17*c - 17*c - 2*c**3)*(87*c**2 + 135*c**2 - 149*c**2). -146*c**5 + 73*c**4 - 146*c**2 Expand 4*w**2 - 2*w**2 - 3*w**2 + (-2*w - 2*w + 5*w)*(0*w + 2*w - 4*w) + 322 + 13*w**2 - 322 - 4*w**2 + 2*w**2 + w**2 + (-2 + 5 - 2)*(-3*w**2 + 6*w**2 - w**2). 11*w**2 Expand (u**2 + 93*u - 93*u)*(9*u + 24*u**2 - 21*u + 12*u). 24*u**4 Expand (0*q**2 + 0*q**2 - 2*q**4)*(-q - q + q) + 6760*q**3 + 2 - 6760*q**3 - 93*q**5. -91*q**5 + 2 Expand -4*o**4 - 3*o**5 + 4*o**4 - o**5 - 2*o**5 + o**5 + (o + 4 - 4)*(-4*o**4 + 2*o**4 + 0*o**4) - 13*o**5 + 64*o**5 + 7*o**5 - 2*o**5 - o**5 + 5*o**5. 53*o**5 Expand (-o + 4 - 4)*(9*o**2 - 43 + 43) + 5*o**3 - 2*o**2 + 2*o**2 + 1 - 1 - o**3 + 2*o**3 - 2*o**3 + o**3 + (3*o - 3*o - 2*o**3)*(-1 + 0 - 1) + 1 - 1 + 2*o**3. 2*o**3 Expand (2 + 2*z - 2)*(2 + 2 - 6) + (-99 - 23 - 24)*(-2*z + 0*z + 0*z). 288*z Expand 9*j**4 - 9*j**4 - 5*j**5 - 5*j**5 + j**5 + 2*j**5 + (0 + 2*j + 0)*(-3*j**4 - j**4 + 3*j**4) + (6 - 3 - 6)*(-1 + 1 - 2*j)*(2*j**4 + j**3 - j**3). 3*j**5 Expand -6*k**2 + 4*k - 4*k + 8692*k - 8692*k - 101*k**2 + 2 - 2*k**2 - 2 + (4 - 2*k - 4)*(2*k - 2*k + 2*k). -113*k**2 Expand 5*c**2 - 5*c**2 - c**3 + c**3 + 2*c**3 - 2*c**3 + (2 + 1 - 1)*(2765*c + 48*c**3 - 2765*c). 96*c**3 Expand 6*i + 2*i**3 - 6*i + (2 - 11*i - 2)*(-2*i**2 + i**2 - 4*i**2). 57*i**3 Expand (2*g**3 + g**3 + 3*g**3)*(-12*g + 30*g - 16*g). 12*g**4 Expand (2 + 4*q - 2)*(-1 + 4 + 10)*(2 - 4 + 1)*(-3*q**3 + 0*q**3 + 5*q**3 - 3*q**3 + 5*q**3 - 3*q**3 + (-2 + 2 + q)*(2*q**2 + q**2 - 5*q**2)). 52*q**4 Expand (35*c - 19*c + 33*c)*(5*c**3 + 3*c**3 + 4*c**3). 588*c**4 Expand (-g**2 - 31*g**2 + 3*g**3 - 2*g**2)*(-g**2 - 2*g + 2*g). -3*g**5 + 34*g**4 Expand (j - 4*j + 2*j)*(-12*j + 3*j + 8*j + 22)*(3*j**2 - 2*j**2 + j**2) + j**3 - j**3 + 2*j**4 + (-2*j + 0 + 0)*(-j**3 + j**3 - 2*j**3) - 2*j**4 - 3*j + 3*j. 6*j**4 - 44*j**3 Expand 167*g - 167*g + 180*g**5 + (-2*g + 2*g - 2*g**2)*(-4*g**3 + 0*g**3 + 3*g**3). 182*g**5 Expand (152 - 162 + 182 + 179)*(0*q**2 + q**2 - 2*q**2). -351*q**2 Expand (-2*w**2 + 0*w**2 + 0*w**2)*(21*w - 31*w + 30*w + 138*w). -316*w**3 Expand (13*z + 3*z + 5*z)*(0*z**3 -
{ "pile_set_name": "DM Mathematics" }
t r**2/7 - 501*r/7 - 4108 = 0. What is r? -52, 553 Factor 3*o**2 - 2760*o + 5508. 3*(o - 918)*(o - 2) What is b in 5*b**5 + 180*b**4 - 855*b**3 - 2230*b**2 - 1200*b = 0? -40, -1, 0, 6 Factor -5*v**3 - 1042*v**2 + 31309*v + 12690. -(v - 27)*(v + 235)*(5*v + 2) Determine w so that -w**2/8 - 123*w/2 + 5076 = 0. -564, 72 Factor -2*c**2 + 57224*c - 57222. -2*(c - 28611)*(c - 1) Find y such that y**3/7 - 175*y**2 + 1906*y + 14568/7 = 0. -1, 12, 1214 Solve -3*b**3 - 86031*b**2 - 616648680*b + 1850720400 = 0. -14340, 3 Suppose -3*a**2 + 3753*a = 0. Calculate a. 0, 1251 Find j such that -4*j**3 - 3276*j**2 - 32460*j - 80900 = 0. -809, -5 Factor d**3 - 200*d**2 + 9588*d + 41616. (d - 102)**2*(d + 4) Factor -2*n**3/5 - 1324*n**2/5 - 215096*n/5 + 1338672/5. -2*(n - 6)*(n + 334)**2/5 Factor 5*l**4 + 33110*l**3 + 73095840*l**2 + 53822881450*l + 53749818715. 5*(l + 1)*(l + 2207)**3 Solve 10*w**2/9 - 212*w/9 + 832/9 = 0. 26/5, 16 Find n, given that 18*n**5/17 + 100*n**4/17 - 25968*n**3/17 + 20160*n**2 - 147200*n/17 = 0. -46, 0, 4/9, 20 Factor -4*p**2 + 408176*p - 10412977936. -4*(p - 51022)**2 Solve -2*j**3/13 + 74*j**2/13 - 92*j/13 - 1680/13 = 0 for j. -4, 6, 35 Let -2*j**3/3 + 13022*j**2/3 + 13024*j/3 = 0. What is j? -1, 0, 6512 Factor f**2 + 779420*f/7 - 222692/7. (f + 111346)*(7*f - 2)/7 Factor m**3 + 99*m**2 + 926*m - 3696. (m - 3)*(m + 14)*(m + 88) Find s, given that -2*s**5 + 48*s**4 + 164*s**3 - 48*s**2 - 162*s = 0. -3, -1, 0, 1, 27 Factor 3*t**2 + 236781*t + 473550. 3*(t + 2)*(t + 78925) Let 4*r**4/3 + 408004*r**3/3 + 4623999996*r**2 + 157202126775980*r/3 - 314459744816008/3 = 0. Calculate r. -34001, 2 Find z such that -2*z**2/7 - 1334*z/7 + 231660/7 = 0. -810, 143 Let 2*y**3/3 + 1456*y**2/3 - 29720*y/3 + 149600/3 = 0. What is y? -748, 10 Factor -2*f**3 - 1250*f**2 + 31256*f + 67496. -2*(f - 26)*(f + 2)*(f + 649) What is b in 6*b**4 - 213*b**3 + 1533*b**2 + 5622*b - 3168 = 0? -3, 1/2, 16, 22 Factor -b**2 + 64*b + 3737. -(b - 101)*(b + 37) Suppose 4*x**3 + 316*x**2 - 24544*x + 354224 = 0. What is x? -131, 26 What is o in 4*o**5 - 56*o**4 + 48*o**3 + 608*o**2 - 256*o - 1536 = 0? -2, 2, 4, 12 What is w in -2*w**4 + 260*w**3 - 10794*w**2 + 133416*w + 312120 = 0? -2, 30, 51 Determine t, given that -2*t**3/13 + 14552*t**2/13 - 26499168*t/13 + 105763968/13 = 0. 4, 3636 Factor -2*t**2/13 + 299080*t/13 - 11181105800/13. -2*(t - 74770)**2/13 Solve -z**5 - 696*z**4 + 22238*z**3 - 216528*z**2 + 614315*z = 0. -727, 0, 5, 13 Solve -81*c**3/5 + 20772*c**2 - 23077*c/5 + 1282/5 = 0 for c. 1/9, 1282 Let 4*k**2/5 + 2424*k/5 - 7308/5 = 0. Calculate k. -609, 3 Let 3*u**3 - 15*u**2 - 138*u - 120 = 0. Calculate u. -4, -1, 10 Factor 2*v**2/9 + 101540*v/9 + 1288796450/9. 2*(v + 25385)**2/9 Find a such that 4*a**3 + 115272*a**2 + 115268*a = 0. -28817, -1, 0 Suppose 5*u**3 - 20975*u**2/2 - 89485*u - 42120 = 0. Calculate u. -8, -1/2, 2106 Let p**5/7 + 2*p**4 - 117*p**3/7 - 62*p**2 - 304*p/7 = 0. Calculate p. -19, -2, -1, 0, 8 Suppose -3*v**4 + 21*v**3 + 30*v**2 - 228*v - 360 = 0. What is v? -2, 5, 6 Let -x**5 + 57*x**4 - 49*x**3 - 393*x**2 + 50*x + 336 = 0. What is x? -2, -1, 1, 3, 56 Suppose 3*s**5/2 - 9093*s**4/2 - 27297*s**3/2 - 27303*s**2/2 - 4551*s = 0. What is s? -1, 0, 3034 Factor z**3 + 1110*z**2 + 36617*z + 35508. (z + 1)*(z + 33)*(z + 1076) Factor c**3/4 - 87*c**2/4 - 1381*c/4 - 3333/4. (c - 101)*(c + 3)*(c + 11)/4 Factor n**3/2 - 17909*n**2/2 - 2*n + 35818. (n - 17909)*(n - 2)*(n + 2)/2 Find v, given that 2*v**5/5 - 2*v**4 - 422*v**3/5 - 806*v**2/5 - 396*v/5 = 0. -11, -1, 0, 18 Let -186*h**3 - 3878*h**2 - 9456*h + 1512 = 0. Calculate h. -18, -3, 14/93 Determine g, given that 5*g**2 - 77050*g - 77055 = 0. -1, 15411 Let 2*j**5 + 10*j**4 - 4*j**3 - 56*j**2 - 16*j + 64 = 0. Calculate j. -4, -2, 1, 2 Let -4*j**4 - 696*j**3 + 1408*j**2 = 0. What is j? -176, 0, 2 Determine j, given that 2*j**2/3 + 4448*j/3 = 0. -2224, 0 Solve 2*n**3 + 2732*n**2 + 2706*n - 32760 = 0 for n. -1365, -4, 3 Suppose 2*v**3/5 + 12276*v**2/5 + 73602*v/5 + 110376/5 = 0. What is v? -6132, -3 Find j, given that -2*j**2 + 11742*j - 23476 = 0. 2, 5869 Find j, given that -3*j**2 - 36798*j - 147144 = 0. -12262, -4 Suppose r**2/4 - 32631*r/4 - 48951/2 = 0. What is r? -3, 32634 Let -i**2/7 + 392202*i/7 - 38455602201/7 = 0. What is i? 196101 Suppose -2*q**3/3 - 860*q**2 - 5994*q - 25660/3 = 0. What is q? -1283, -5, -2 Factor k**2/12 + 18704*k/3 + 74815/12. (k + 1)*(k + 74815)/12 Factor 2*t**3 + 262*t**2 - 2194*t + 4170. 2*(t - 5)*(t - 3)*(t + 139) Factor 2*g**4/13 - 176278*g**3/13 + 398379240*g**2 - 3901195095200*g - 3901593488000. 2*(g - 29380)**3*(g + 1)/13 Solve 2*k**4/11 + 48*k**3/11 - 4590*k**2/11 - 4636*k/11 = 0 for k. -61, -1, 0, 38 Factor -13*c**3/2 - 20*c**2 + 119*c/2 - 33. -(c - 1)**2*(13*c + 66)/2 Find q such that -14*q**2/9 + 1658*q/9 + 1672/9 = 0. -1, 836/7 What is p in -2*p**2/11 + 2306*p/11 - 36384/11 = 0? 16, 1137 Determine s, given that -34*s**5/5 + 2852*s**4/5 + 6184*s**3/5 + 688*s**2/5 = 0. -2, -2/17, 0, 86 Factor 4*a**2/3 - 18596*a/3 - 18608. 4*(a - 4652)*(a + 3)/3 Solve p**3 + 1642*p**2 + 603561*p - 59305680 = 0. -861, 80 Factor -104698*r**2/3 - 104699*r/3 - 1/3. -(r + 1)*(104698*r + 1)/3 Factor 4*c**3 + 3636*c**2 + 742560*c - 38971072. 4*(c - 43)*(c + 476)**2 Factor 2*q**3/3 + 5750*q**2 + 12395562*q - 37203938/3. 2*(q - 1)*(q + 4313)**2/3 Factor -4*x**4 - 1104*x**3 - 5444*x**2 - 6504*x. -4*x*(x + 2)*(x + 3)*(x + 271) What is b in b**5/6 - 305*b**4/6 + 13183*b**3/3 - 228479*b**2/3 - 8789*b/2 + 152421/2 = 0? -1, 1, 23, 141 Factor 21*k**2 + 1146*k - 104751. 3*(k + 103)*(7*k - 339) Suppose -2*l**4/5 - 26506*l**3/15 - 5853850*l**2/3 + 9759362*l/15 = 0. What is l? -2209, 0, 1/3 What is l in l**2/4 - 4575*l/4 - 6867/2 = 0? -3, 4578 Determine w, given that -3*w**4 + 2145*w**3/2 + 20841*w**2 + 10152*w = 0. -18, -1/2, 0, 376 Find b, given that b**4/2 - 19*b**3/2 - 295*b**2/2 + 3043*b/2 - 1365 = 0. -15, 1, 7, 26 Find i such that 4*i**2 - 596688*i + 22252285584 = 0. 74586 What is s in s**5/6 + 109*s**4/6 + 211*s**3/6 - 107*s**2/2 = 0? -107, -3, 0, 1 Suppose -18*g**4 - 23324*g**3 - 134298*g**2 - 177984*g + 46440 = 0. What is g? -1290, -3, 2/9 Solve 46328*i**3 + 4*i**2 - 46328*i - 4 = 0. -1, -1/11582, 1 Find z, given that -2*z**2/3 + 29706*z + 178244/3 = 0. -2, 44561 Suppose -4*c**4 - 120*c**3 + 7196*c**2 + 333984*c + 3534272 = 0. What is c? -28, -23, 49 Find d, given that d**2 - 207*d - 3094 = 0. -14, 221 Suppose -4*i**3 + 364*i**2 - 8264*i + 7904 = 0. What is i? 1, 38, 52 Suppose 5*c**3 - 197045*c**2 - 5*c + 197045 = 0. What is c? -1, 1, 39409 Find s such that -100*s**5 + 535*s**4 + 1440*s**3 - 8635*s**2 + 2560*s + 1200 = 0. -4, -1/4, 3/5, 4, 5 Determine i, given that -5*i**4 - 30045*i**3 - 45059925*i**2 + 225870805*i - 271261470 = 0. -3007, 2, 3 Factor 2*s**2/9 + 3052*s/9 - 1360. 2*(s - 4)*(s + 1530)/9 Factor -n**4/7 + 382*n**3/7 - 35317*n**2/7 - 222324*n/7 - 338724/7. -(n - 194)**2*(n + 3)**2/7 Factor -15*c**2 + 9582*c + 1917. -3*(c - 639)*(5*c + 1) What is v in -4*v**2/7 + 1206480*v - 636822370800 = 0? 1055670 Find g such that 2*g**4/5 - 622*g**2/5 - 1836*g/5 - 1216/5 = 0. -16, -2, -1, 19 Solve 6*g**5/5 + 1122*g**4/5 + 13806*g**3/5 + 40878*g**2/5 + 28188*g/5 = 0. -174, -9, -3, -1, 0 Factor -21*r**3 + 10152*r**2 - 4347*r. -3*r*(r - 483)*(7*r - 3) Factor p**3/2 + 45*p**2/2 - 4877*p - 9840. (p - 80)*(p + 2)*(p + 123)/2 Factor 4*h**4 + 120239*h**3/12 + 33465965*h**2/4 + 9314228775*h/4 - 582182875/12. (h + 835)**3*(48*h - 1)/12 Suppose -3*p**3 - 66381*p**2/5 + 47838*p + 106296/5 = 0. Calculate p. -4429, -2/5, 4 Factor p**3/2 + 384*p**2 - 7003*p/2 - 3885. (p - 10)*(p + 1)*(p + 777)/2 Determine m so that -2*m**3/11 + 910*m**2/11 + 75888*m/11 = 0. -72, 0, 527 Factor -o**4 - 9*o**3 + 353*o**2 + 729*o + 368. -(o - 16)*(o + 1)**2*(o + 23) Find b such that -2*b**4/3 - 974*b**3/3 + 51194*b**2/3 - 711850*b/3 + 567088 = 0. -536, 3, 23 Let -20*x**5 + 39320*x**4 - 196085*x**3 - 29495*x**2 + 156905*x - 49025 = 0. Calculate x. -1, 1/2, 5, 1961 Solve -2*x**2/3 + 14240*x/3 - 14234 = 0 for x. 3, 7117 Factor 5*s**2 - 392360*s + 7697318480. 5*(s - 39236)**2 Determine t, given that -t**3 - 29314*t**2 - 214856960*t - 429596672 = 0. -14656, -2 Let 3*o**2 - 5076*o + 115161 = 0. Calculate o. 23, 1669 Suppose -5*q**3 + 5
{ "pile_set_name": "DM Mathematics" }
5 List the prime factors of ((-2)/(-3))/(37 - 29368248/793737). 2, 43, 293 Let n(m) = 3273*m**2 + 84*m + 144. List the prime factors of n(-4). 2, 3, 1087 Let m be 15/(-6)*(-8)/10. Suppose 3*o = m*o. Let g = 2 + o. What are the prime factors of g? 2 Let i be ((-2)/10 - 0) + 26520/100. Suppose 5*v + 30 = 4*d, 0*v + 31 = 5*d - 3*v. Suppose -d*x + 1200 - i = 0. List the prime factors of x. 11, 17 List the prime factors of ((-490965)/(-150))/((-1)/(-2)) - 7/35. 2, 3, 1091 Suppose -32 = -3*v - 11. Suppose -x - 132 = -4*a, 0 = v*a - 11*a - 2*x + 120. List the prime factors of a. 2 Suppose 6*s = -l + 9*s - 142, 4 = 4*s. Let d = -65 - l. What are the prime factors of d? 2, 37 Let i(y) = 2106*y + 1817. List the prime factors of i(10). 22877 Let u(r) = 1021*r + 2384. What are the prime factors of u(22)? 2, 3, 41, 101 Suppose 0 = 128*s - 132*s - 2692. Let p = -325 - s. What are the prime factors of p? 2, 3, 29 Let h be (9 + 92/(-12))*3. Let x(g) be the first derivative of g**4/4 - g**3/3 - 9*g**2/2 + g - 1. What are the prime factors of x(h)? 13 Let g(x) = 60*x**2 - 7*x + 25. Let c be g(-5). Suppose 0 = -0*q - 5*q + c. What are the prime factors of q? 2, 3, 13 Suppose 2*q - 77680 = -3*q + 158540. List the prime factors of q. 2, 3, 31, 127 Let d = -192 - -186. Let o(s) = s**3 + 7*s**2 - s + 1. List the prime factors of o(d). 43 Let h be -2 + ((-5)/(-10))/(3/(-108)). Let k be (38/(-8))/((-2)/40). What are the prime factors of (k/h)/(-2 + 261/132)? 11, 19 Let h = 8404 - 4092. List the prime factors of h. 2, 7, 11 Suppose 467*u - 2880471 = 276*u. What are the prime factors of u? 3, 11, 457 Let q = 3986 - 2060. List the prime factors of q. 2, 3, 107 Let t = 224 - -486. Let k = -286 + t. Suppose k = 5*x + 4*p, x = -3*x - 4*p + 336. List the prime factors of x. 2, 11 Suppose 0 = 115589*x - 115578*x - 481745. List the prime factors of x. 5, 19, 461 Let z(l) be the first derivative of -13*l**2 - 49*l - 35. List the prime factors of z(-17). 3, 131 Let s = -79 - -21. Let l = s - -136. Let w = l + -37. What are the prime factors of w? 41 Let a = 217948 - 128010. What are the prime factors of a? 2, 193, 233 Let p(d) = -d**2 - 9*d - 17. Let y be p(-4). Suppose 5*i + 3051 = 4*u, i = y*u - 4*i - 2287. List the prime factors of u/(-8)*10/(-5). 191 Let j = -39874 - -63274. What are the prime factors of j? 2, 3, 5, 13 What are the prime factors of ((-3570)/(-21)*(-7 + 5))/((-3)/615)? 2, 5, 17, 41 Suppose -2*x - 5*s = 20, -5*x + s - 17 = 6. Let r(j) = -9*j + 22. List the prime factors of r(x). 67 Let n(d) = d**3 + 10*d**2 - 21*d + 16. Suppose -z - 2*q = 9, 8*q - 9*q + 1 = 0. What are the prime factors of n(z)? 2, 3, 7 Suppose 3*g - 3 = 0, -46*g - 123459 = -4*u - 45*g. What are the prime factors of u? 5, 6173 Let g = -9037 + 12936. List the prime factors of g. 7, 557 Let c = 42120 + -5527. List the prime factors of c. 23, 37, 43 Let y = -361 - -217. Let s be (-77)/(-2)*y/(-42). What are the prime factors of (279/5)/(-3 - s/(-40))? 2, 3, 31 Suppose 3*l + 5*l = -6*l. What are the prime factors of (-2792)/(-6) + (-10)/30 + l? 3, 5, 31 What are the prime factors of 22/66 - 2504048/(-48)? 2, 6521 Suppose 4*q + 101 = 769. Let z = -92 + 174. Let c = q - z. List the prime factors of c. 5, 17 Let m = 50904 + -29195. What are the prime factors of m? 17, 1277 Let b be (324/12)/(-3) + 9. Let i be (47/(-2))/((-4)/8). Suppose b = 3*y - 4*y + i. List the prime factors of y. 47 Suppose -3*z = 4*m - 5, 2*m = 2*z - 5*z + 1. Suppose 2*w + 8 = m. What are the prime factors of 6/(w/((-300)/8))? 3, 5 Let b = 34486 + -20412. What are the prime factors of b? 2, 31, 227 Let a = -4991 + 11083. What are the prime factors of a? 2, 1523 Let l = 32 - 32. Let b be l/(15/9 - 1/(-3)). Let p(q) = -q**3 + q**2 + 65. List the prime factors of p(b). 5, 13 Suppose -10*s + 142932 = 9*s - 209176. List the prime factors of s. 2, 41, 113 List the prime factors of (-1742)/2613 - (0 - (202150/(-3))/(-2)). 7, 4813 Suppose -f = -0*m - m + 8, -m = -5*f + 8. What are the prime factors of 1858/m - ((-294)/36 - -8)? 5, 31 Let k(a) be the second derivative of -5*a**4/12 + a**3/3 + 29*a**2/2 - 5*a. Let r be k(6). What are the prime factors of (0 - 3)/(-1 - r/142)? 2, 71 Suppose 2*f + 3*f = -20. Let s be (4 - 27/3)*(0 + f). What are the prime factors of (-8)/s + (-814)/(-10)? 3 Let p(v) = 205*v + 418. Let z be p(11). Suppose 0 = -4*w - 2*r - 1332 + 4896, 3*w - z = -3*r. What are the prime factors of w? 3, 11 Let d be 1244/(-28) - (-5)/35*3. List the prime factors of -3 + d/6*(-333)/6. 2, 101 Let y(v) = v**3 - 14*v**2 - 2*v + 30. Let n be y(14). Suppose r = c - 0*r - 10, 2*r = -n*c. Suppose c*d = 11*d - 660. What are the prime factors of d? 2, 5, 11 Let m(b) = 15 + 2*b**2 - 15 - b**2 + b. Let n be m(-1). Suppose w + 4*y - 52 = 26, -3*w - 4*y + 194 = n. List the prime factors of w. 2, 29 Let i be 7 - (-3508)/(-12)*-6. Let x = i - 1027. List the prime factors of x. 2, 367 Let g(r) = 3*r**2 - 82*r - 998. List the prime factors of g(133). 3, 13721 Suppose -26*u = -17*u + 180. Suppose 4*z = 5*f - 1382, -2*z + 7 = 3. Let v = f + u. List the prime factors of v. 2, 3, 43 List the prime factors of (10 - 11)/((-17)/16660). 2, 5, 7 Suppose -103360 = -22*q + 366494. What are the prime factors of q? 3, 7, 113 Suppose -2*s + 14509 = 5*l, -s - 22*l = -19*l - 7255. What are the prime factors of s? 2, 7, 37 Suppose -3*p - 4*r = -4*p + 2004, 0 = 5*p + 2*r - 10020. List the prime factors of p. 2, 3, 167 Let u = -35270 + 71546. What are the prime factors of u? 2, 3, 3023 Let q be (-72)/4*(-2 + (-5)/(-3)). Let z be ((-4836)/9)/(-2) + 2/q. Suppose z - 49 = 5*f. List the prime factors of f. 2, 11 Let f be (-3)/5 + 1860/100. Suppose f*k - 2510 - 8416 = 0. List the prime factors of k. 607 Let k be (-308 - 2)*(-272)/40. Suppose -k*u + 2114*u = 3408. What are the prime factors of u? 2, 71 Suppose 2*y = -2*j + 262, 2*j - 5*y - 119 = j. Let t = -41 + j. Suppose 192 + t = 4*i. List the prime factors of i. 2, 5, 7 Let z = 8706 + -6390. List the prime factors of z. 2, 3, 193 Suppose -4*v + 263*p + 97836 = 259*p, -122292 = -5*v + 4*p. List the prime factors of v. 2, 3, 1019 Let f(r) = -r. Let n(h) = 53. Let k(s) = 4*f(s) - n(s). Let p be k(-17). Let j = 208 + p. What are the prime factors of j? 223 Let u(n) = -n**3 + n**2 - 3*n - 3. Let o(y) = -2*y**3 + y**2 - 7*y - 3. Let w(f) = 3*o(f) - 7*u(f). Let z = 7 - 2. List the prime factors of w(z). 37 Let b be -2 + 1 - (-1 - (-6 - -4)). Let a be (2/4)/((-3)/9)*b. Suppose -a*v + 4*o - 3*o + 128 = 0, 0 = 2*v + 4*o - 62. What are the prime factors of v? 41 Suppose 146 = -8*y + 466. Let v = -38 + y. Suppose -2*j = -j, -v*f + 82 = j. What are the prime factors of f? 41 Suppose -4*b - 17 - 5 = -2*f, -5*b - 2*f - 14 = 0. Let u(i) = 42*i**2 - 24*i - 9. What are the prime factors of u(b)? 3, 11, 23 Let h = 7345 - 4013. What are the prime factors of h? 2, 7, 17 Let t(q) = q**3 + 8*q**2 + q + 12. Let r be t(-8). Let g = 207 - r. Let m = g + -92. List the prime factors of m. 3, 37 Let h be (-29740)/(-60) + (-4)/(-3). Suppose -6*y = -5*y + 4*k - h, 0 = -k. What are the prime factors of y? 7, 71 Suppose 152*t = -12*t + 223532. What are the prime factors of t? 29, 47 Let a(x) = 3*x**2 + x - 8. Let u be a(2). Let f be 0 + 0 - (u - 4). List the prime factors of 41*f/(2 + -4). 41 Suppose 4*k - 5642 = -2*i, -46*i + 1393 = k - 42*i. What are the prime factors of k? 3, 157 Let g = -3216 - -6230. Suppose -7*t + 375 - g = 0. Let m = t - -582. List the prime factors of m. 5, 41 Let a = 53803 - 17546. List the prime factors of a. 13, 2789 Let z(t) = 2362*t**2 + 301*t - 300. What are the prime factors of z(1)? 17, 139 Let d(a) = 15*a**3 - 3*a - 8 - 16*a**3 - 12 + 9*a**2. Let x be d(10). Let s = x + 239. What are the prime factors of s? 89 Let t(l) = 523*l + 1386. What are the prime factors of t(32)? 2, 13, 17, 41 What are the prime factors of (-4 - -2168)*(9 + -7)? 2, 541 Let s(c) = -c**2 + 53*c - 257. Let j be s(5). Let t be 34/4 - (-1)/2. Let y = t - j. List the prime factors of y. 2, 13 Let h(o) = -5*o + 40. Suppose -62 = 27*d - 25*d. List the prime factors of h(d). 3, 5, 13 Suppose -69*k + 190638 = -27*k. List the prime factors of k. 3, 17, 89 Let x(o) = -2*o**2 + 8*o + 35. Let y be x(11). Let z = y - -152. What are the prime factors
{ "pile_set_name": "DM Mathematics" }
(i*((i**18*i)/i)/i)*i assuming i is positive. i**(-310/19) Simplify j**(-8)/j**(-3/7)*(j*j**(4/9)*j)/(j**(-1/3)/j) assuming j is positive. j**(-239/63) Simplify k**7*k**0*(k*k**(-1))**40 assuming k is positive. k**7 Simplify ((z*z**(-1/4))**(9/2))**(-7/6) assuming z is positive. z**(-63/16) Simplify u**(2/19)/u*u*u**(2/39)*u assuming u is positive. u**(857/741) Simplify (w/(w*w/(w/(w**(1/8)/w))*w)*w)/w**23 assuming w is positive. w**(-177/8) Simplify (c**15*c*c)/(c*c/(c**(2/9)*c)) assuming c is positive. c**(146/9) Simplify ((w/(w/w**(2/9)*w))/w*w*w**(-6)/w)**2 assuming w is positive. w**(-140/9) Simplify (j*j*j**(3/8))/(j/(j**12/j)) assuming j is positive. j**(99/8) Simplify (t**(-1/9)/(((t/(t/(t*t**(-1/5))))/t)/t))**(-6/5) assuming t is positive. t**(-98/75) Simplify (d/d**(-1))/(d/(d/((d/(d*d**(-8/3))*d)/d)*d)) assuming d is positive. d**(1/3) Simplify g**(-16)*(g/(g**(-5)/g))/g assuming g is positive. g**(-10) Simplify (k/(k*k/k**(1/3))*k)**(-10) assuming k is positive. k**(-10/3) Simplify (((d*d**(1/8))/d*d*d)/d**(-2/7))/(d**(-6)/d*d/(((d/(d*d/((d/(d/((d/(d/d**5))/d)))/d)))/d)/d)*d) assuming d is positive. d**(415/56) Simplify q*q*(q/(q*q**5/q))/q*q**4*(q**1)**(-2/31) assuming q is positive. q**(29/31) Simplify (r*r/(r/r**(-3)*r))/(r*r/r**(-6)*r)*(r*r**(-3/4))/r**4 assuming r is positive. r**(-63/4) Simplify ((a*a**(2/3))**(-3/17))**36 assuming a is positive. a**(-180/17) Simplify (k*k*k*k**(3/2)*k*k*k*k)/(k/((k/k**1)/k)*k*k)*k**(-1)/k*k**3 assuming k is positive. k**(11/2) Simplify ((n**(-5)*n*n)/n)**11 assuming n is positive. n**(-44) Simplify ((c*c*c/(c*(c**(2/7)*c*c)/c)*c)**40)**(10/3) assuming c is positive. c**(1600/7) Simplify (((l**(-8)*l)/l)/(l/l**(2/15)*l))**(-12) assuming l is positive. l**(592/5) Simplify (r**(-1))**(-14/5)/(r*r**1*r)**8 assuming r is positive. r**(-106/5) Simplify (a**(2/3)*a*a*a**(-7)/a)/(a**(-1))**(2/87) assuming a is positive. a**(-154/29) Simplify (p*(p*p*p*p/((p**(-2/3)*p)/p))/p)**(1/29)/((p/(p/((p/(((p*p/p**(-2/7))/p)/p))/p*p)*p))/(p/(p/(p/(p/p**(-2/5)))))) assuming p is positive. p**(142/3045) Simplify ((f**16/f*f)/(f/(f/f**18)))**(1/4) assuming f is positive. 1/sqrt(f) Simplify ((k/k**(3/7))**(-9))**(-11/3) assuming k is positive. k**(132/7) Simplify (i/(i**0/i*i)*i)**(-2/11)*(i*i*i**7)/(i/(i**(-2/11)*i)) assuming i is positive. i**(93/11) Simplify (((z/(((z*z/z**(3/10)*z)/z)/z))/z)/z*z**(-4))/((z**(1/2)/z*z)/(z**(4/5)/z)) assuming z is positive. z**(-32/5) Simplify (x**48*x)**(7/2) assuming x is positive. x**(343/2) Simplify y**(-2/9)/(y*y*y/(y/y**(-2/5))) assuming y is positive. y**(-82/45) Simplify d**0*d/(d**19/d) assuming d is positive. d**(-17) Simplify (a**4)**(-27) assuming a is positive. a**(-108) Simplify i/i**(-11)*i**(-3/8)*i assuming i is positive. i**(101/8) Simplify (q**2/(q**4/q))/((q**1*q)/(q/(q/((q/(q**(-9)*q))/q)))) assuming q is positive. q**5 Simplify (s*s/(s/(((s/s**(-4))/s)/s)))**19 assuming s is positive. s**76 Simplify (z*z/z**(-2/5)*z)/(z*z*z/(z*z**4*z*z*z)*z*z)*(z**0/z*z)**0 assuming z is positive. z**(32/5) Simplify (r*(r**29/r)/r)**(1/26) assuming r is positive. r**(14/13) Simplify (f/(f**(1/4)/f))**(-15/8)/(f/f**(-3/8)*f*f*f**(-2)/f) assuming f is positive. f**(-117/32) Simplify (m**4/(m*m**(-2/55)))**(1/12) assuming m is positive. m**(167/660) Simplify b**(-9)*b/b**23 assuming b is positive. b**(-31) Simplify ((p**1)**27)**(11/7) assuming p is positive. p**(297/7) Simplify m**1/((m/m**0)/m) assuming m is positive. m Simplify z*(z**(-1/4)*z)/z*z*z**(5/4)/z*z**(-3/4)/(z**(7/2)/z) assuming z is positive. z**(-5/4) Simplify u*((u/(u*u**(-30/7)))/u)/u*u**3 assuming u is positive. u**(44/7) Simplify (m/(m*m/(m**(-1)*m)*m))/m**(-39) assuming m is positive. m**37 Simplify (q**(-1/3)/q)**(-2/69)*(q/q**(-2/7))**(22/9) assuming q is positive. q**(4610/1449) Simplify ((w**(-5/4)*w)/(w*w**1*w))/((w/(w/w**4))/w**(-3)) assuming w is positive. w**(-41/4) Simplify (k/k**1)**(2/11)*(k/(k/k**(-7)))/(k/(k*k**(-1))) assuming k is positive. k**(-8) Simplify ((c/c**(1/4))/(c*c**(-1/3)/c*c*c))/(c**(-1/3))**(2/81) assuming c is positive. c**(-883/972) Simplify (w/w**0)/w**(-8)*(w*w**3)/w*w**(-1) assuming w is positive. w**11 Simplify l**(-5)/(l*l/(l/(l*l**(-2/11)/l))) assuming l is positive. l**(-64/11) Simplify ((u/(u/u**(-5/4)))/((u**(8/7)*u)/u))/(u/(u**(-1)*u))**(-18) assuming u is positive. u**(437/28) Simplify (s**1/((s/s**(-1/2))/s))/(((s*s/s**(-1))/s)/s)**(-1/28) assuming s is positive. s**(15/28) Simplify j/j**(-9)*(j**(-17/3)*j)/j assuming j is positive. j**(13/3) Simplify d**18/(d/(d/(d**(-4/9)/d))) assuming d is positive. d**(175/9) Simplify (t/(t**(9/7)*t))**(3/25) assuming t is positive. t**(-27/175) Simplify a/a**(-20)*(a/(a*a/(a/a**(1/6)*a)))/a assuming a is positive. a**(125/6) Simplify ((y/(y/(y/(y*y*y**(2/5)))*y))/y)/y**(-5)*y**(-3/5)/(y*y*y*y**(-2/7)) assuming y is positive. y**(-12/7) Simplify ((b**(-3))**15)**(-34) assuming b is positive. b**1530 Simplify (j**2/j*j**(-4/9))/(j*j*j/(j/j**2))**(1/34) assuming j is positive. j**(67/153) Simplify (y**4/(((((y/((y/y**3)/y*y))/y)/y)/y)/y))**(-2/29) assuming y is positive. y**(-10/29) Simplify (a**(-1/2)*a)**(3/14)*(a*a**0*a*a)**(-41) assuming a is positive. a**(-3441/28) Simplify w**(-23)*w**12 assuming w is positive. w**(-11) Simplify (t*(t/(t*t**(-1/19)*t))/t)/t*t**(2/7)*(t*t**9/t)/(t*t**2*t) assuming t is positive. t**(444/133) Simplify f**(2/3)/f*f/(f**(-8)/f)*f**(1/2)*f*(f/f**(-2/11))/f assuming f is positive. f**(749/66) Simplify (m**(-6)*m*(m/(m/((m**(-1/14)*m)/m)*m))/m)/(m/m**(-1))**29 assuming m is positive. m**(-911/14) Simplify (n**(4/5)/n)/n**(6/11)*(((n/n**(1/7)*n)/n)/n)/n*n*n**(-1/6) assuming n is positive. n**(-2437/2310) Simplify (p**(-2/77))**(3/23) assuming p is positive. p**(-6/1771) Simplify b*b**(-1/12)/b*((b/((b/(((b*b*b**(-2/7))/b)/b))/b))/b)/b*b**(-2)*b**(5/3) assuming b is positive. b**(-143/84) Simplify ((u**(-1/3))**42)**(2/5) assuming u is positive. u**(-28/5) Simplify n**(-4/3)/n**(2/59) assuming n is positive. n**(-242/177) Simplify (v**(-15))**(-40) assuming v is positive. v**600 Simplify (t**(-3/11)/(t/t**4))/((t*t**(-1/11)*t)/(t*t*t**(-2/17)*t)) assuming t is positive. t**(692/187) Simplify (g**(1/3)*g**(1/2))/((g*g**0*g)/g*g**7) assuming g is positive. g**(-43/6) Simplify n**19*n*n*n**(-12) assuming n is positive. n**9 Simplify (((v**(1/5)/v*v)/v)**(-24/5))**(-8/15) assuming v is positive. v**(-256/125) Simplify z**2*z*z**(-1/6)*z assuming z is positive. z**(23/6) Simplify ((z**(1/4)/z)**(-3))**(-48) assuming z is positive. z**(-108) Simplify (s**26/s*s)/s**9 assuming s is positive. s**17 Simplify d/d**5*d**(12/11) assuming d is positive. d**(-32/11) Simplify (z/(z*((z*z**(-1/6)/z)/z)/z)*z**14*z)**(2/13) assuming z is positive. z**(103/39) Simplify (g**(-5/4)/g*g)/(((g*(g/(g**(-6)*g))/g*g)/g*g)/g) assuming g is positive. g**(-29/4) Simplify (q/(q/(q/q**2))*q**(-1))/(q*q**(2/9)*q/q**(-8)) assuming q is positive. q**(-110/9) Simplify z*z*z**(1/23)*z*z*z**25/z assuming z is positive. z**(645/23) Simplify (w/w**2*w*w*w)**8/((w/((w**3*w)/w)*w)/w*w)**0 assuming w is positive. w**16 Simplify ((w*w/(w**(1/2)/w))**(1/2))**(-1/13) assuming w is positive. w**(-5/52) Simplify j*j*j/(j*j/j**(-6))*((j/((j**(-3)/j)/j))/j)/j*(j**1)**(22/3) assuming j is positive. j**(19/3) Simplify (i**4*i/(i/(i**(-1)/i)*i))**(6/17) assuming i is positive. i**(6/17) Simplify ((y**(3/8))**(-2/153))**(-17) assuming y is positive. y**(1/12) Simplify m/(m/((m*m*m**(-2/7)*m*m)/m))*m**(-3/7)*m*(m**2)**(-11) assuming m is positive. m**(-131/7) Simplify (z/((((z*z**3/z*z*z)/z)/z)/z)*z)/(z*z**(-23)*z) assuming z is positive. z**21 Simplify ((m*((m**(-1/2)/m*m)/m)/m)**(7/2))**45 assuming m is positive. m**(-945/4) Simplify x*x**(2/25)*x/(x*(x/(x/x**(-2/11)))/x)*(x**0*x)**(-38) assuming x is positive. x**(-9828/275) Simplify (k*k**(-2)*k*k*(k*(((k*k*k**(1/4)*k)/k)/k)/k)/k)/(k**3/k**(-1/4)) assuming k is positive. k**(-2) Simplify i**(-6/11)/i**(-14) assuming i is positive. i**(148/11) Simplify l*l**(4/9)*l*l/((l/l**(1/7))/l) assuming l is positive. l**(226/63) Simplify m**(12/5)/(((m/(m*(m*m*(m**(-8)/m)/m*m*m)/m))/m)/m) assuming m is positive. m**(-13/5) Simplify (m**(2/43)/m)/(m*m**(-19)*m*m) assuming m is positive. m**(647/43) Simpli
{ "pile_set_name": "DM Mathematics" }
7 a composite number? False Is 10604071 a prime number? False Is 8041303 composite? False Is 69757301 composite? False Is 16215011 prime? False Is 26884997 composite? False Is 4703789 a composite number? False Is 100232065 composite? True Is 142143 a composite number? True Is 89749759 a prime number? False Is 2920381 a prime number? True Is 12077717 a composite number? True Is 15191177 prime? False Is 8606101 composite? True Is 9966289 a prime number? False Is 35491 composite? False Is 171186511 a prime number? True Is 183617043 a composite number? True Is 4638889 composite? True Is 25798921 a prime number? False Is 8608823 composite? False Is 883303693 a prime number? True Is 58125203 a prime number? True Is 7092431 composite? False Is 17881417 a prime number? True Is 35271809 a prime number? False Is 1117199 a composite number? False Is 118156253 prime? True Is 17299871 prime? True Is 338839 prime? True Is 593441 a composite number? True Is 7455661 prime? 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True Is 58499501 a composite number? True Is 8574971 a composite number? False Is 836219 a prime number? True Is 10774801 a prime number? False Is 86906317 a prime number? False Is 3730141 a prime number? True Is 1818391 composite? True Is 273261607 composite? False Is 79318931 composite? True Is 128143 composite? True Is 585829 composite? True Is 47776381 a prime number? True Is 703037 a prime number? False Is 426967633 a composite number? True Is 405455331 a composite number? True Is 155931989 prime? False Is 51502703 composite? True Is 1004963 a prime number? True Is 2315759 composite? False Is 136426711 composite? True Is 3721789 composite? True Is 3409459 a composite number? False Is 43257241 composite? True Is 48270883 prime? False Is 466801 composite? False Is 10696451 a prime number? False Is 3242413 composite? True Is 167727437 composite? False Is 160001 prime? True Is 9992071 prime? False Is 40562651 prime? True Is 7135547 a prime number? True Is 291763 a composite number? True Is 26340569 prime? True Is 6697 a composite number? True Is 22339721 a prime number? True Is 40924757 a composite number? False Is 1274909 prime? False Is 1023767 a composite number? True Is 229594 a composite number? True Is 1029085 a prime number? False Is 147801233 composite? False Is 2729913 composite? True Is 25012137 prime? False Is 63421369 composite? True Is 47401801 a prime number? False Is 194933 composite? False Is 2898101 prime? True Is 16431133 a prime number? False Is 4880587 composite? True Is 84173183 composite? False Is 96263047 a prime number? True Is 6803026387 a prime number? True Is 3147751 composite? False Is 9273733 composite? True Is 10144865 prime? False Is 4667749 prime? False Is 43408333 composite? True Is 1232437369 prime? False Is 2887799 a composite number? False Is 1366087 a prime number? True Is 35232713 prime? True Is 128832871 a composite number? False Is 19865765 composite? True Is 29147399 a composite number? False Is 13578007 composite? False Is 104936431 a prime number? True Is 1206293 a composite number? True Is 445317473 prime? True Is 29402743 a composite number? False Is 7917923 prime? False Is 214159337 a composite number? True Is 6934451 a prime number? False Is 1200869 composite? False Is 741163 a composite number? False Is 1962161 a prime number? True Is 188087 a composite number? True Is 12753082 prime? False Is 127082 a composite number? True Is 57666689 a prime number? True Is 5387677 a prime number? True Is 12639257 a composite number? False Is 459421 composite? False Is 2665543 a prime number? False Is 3755779 a prime number? True Is 886271 a prime number? True Is 41739053 composite? False Is 3923123 composite? True Is 463029217 a prime number? False Is 9413707 a composite number? False Is 1959227 a composite number? False Is 9221617 composite? False Is 1103371 a prime number? True Is 37560601 prime? False Is 31046459 prime? True Is 9035027 composite? False Is 270605845 prime? False Is 516706141 a prime number? False Is 167950697 a composite number? False Is 414563749 a composite number? False Is 366697193 prime? False Is 123134813 composite? False Is 181412345 prime? False Is 1182329 a prime number? False Is 7807643 prime? True Is 106616857 a composite number? True Is 1361801 a composite number? True Is 9193069 composite? False Is 23275243 composite? True Is 17787089 a prime number? False Is 584515 a composite number? True Is 2080142 a composite number? True Is 21343601 a composite number? False Is 1174795 a composite number? True Is 3943477 a composite number? True Is 34376239 composite? False Is 4716793 a prime number? True Is 285749 a composite number? False Is 7110839 prime? True Is 1492499 composite? False Is 3601414 composite? True Is 50048233 composite? False Is 20410817 a composite number? True Is 32374403 a composite number? False Is 322127563 a composite number? True Is 6031093 composite? True Is 1096031 prime? True Is 317587 prime? True Is 8590837 composite? False Is 207011681 a composite number? False Is 133255039 composite? False Is 186527513 a prime number? True Is 411626387 a prime number? False Is 2688303 prime? False Is 18663893 a prime number? True Is 328225061 composite? True Is 3163345 a composite number? True Is 1058757523 a composite number? False
{ "pile_set_name": "DM Mathematics" }
t) + 3)*1. Solve -5*k - c = -2 + 4, 3*c - 12 = r*k for k. -1 Let w(i) = 2*i - 3. Let y be w(3). Suppose -9 = -3*q - y. Solve 6*k = -3*s + q*k + 22, 0 = -4*s + 2*k for s. 2 Suppose 4*g + 0*c = -5*c + 53, 2*g + 5*c = 39. Solve 2*j - 12 = 2*z, -2*j + g + 3 = -z for j. 4 Let g be (-2)/(-9) + 60/(-27). Let s be 10*(1 + 0/g). Solve 0 = 5*z - 4*q + s, -2*q = 4*z - 0*z - 18 for z. 2 Let q be ((1 - -2) + -3)/1. Let c be -2 - (q/(-1) + -1). Let m be (c + 2)*(0 - -1). Solve 4*h + 3*w + m = 8, 3*w = 2*h + 19 for h. -2 Suppose 30 = 2*x + 3*a, -3*a + 7*a + 16 = 2*x. Solve 3*c - x = 3*z + 6*c, 2*c = -5*z - 8 for z. 0 Suppose z + 2*z + 12 = 0. Let o be ((-6)/z)/((-9)/(-24)). Solve -5*j - 10 = -2*c, o*c - 9 = 11 for j. 0 Let r(x) = 3 + 3*x**2 + 3*x + x - 2*x**2. Let d be r(-2). Let u be d/3 - (-21)/9. Solve 3*j - 6 = 3*b, 4*b - u*b + j = -1 for b. -1 Suppose 3*h - 46 = -2*j, -h = 2*j + j - 6. Solve -4*m = 3*f + 31, f = -2*m - f - h for m. -4 Let j(l) = 2*l**3 + 2*l**2 + 5*l - 3. Let s(a) = -a**2 - a + 1. Let u(m) = j(m) + 5*s(m). Let x be u(2). Solve w = -5*t + 12, -4*w + x = -3*t + 4 for w. 2 Suppose -i - 4 = i. Let q be (6/9)/(i/(-9)). Suppose -q*r - 4 = -16. Solve -r = a - 2*a + 3*p, -2*a + 1 = p for a. 1 Let n(l) = 2*l**2 - l + 1. Let t be n(1). Suppose -50 = -2*a + t*z, -3*a + 60 = z + z. Solve v - 6*v + 2 = 4*x, a = 4*x - 5*v for x. 3 Let m = 75 + -71. Solve y - 3*b - 12 = m*y, -3*y - 12 = -5*b for y. -4 Suppose -2*w + 12 = -0*w. Suppose -2*q = -6 - w. Solve q*r - r - 4*u - 10 = 0, 2*r = 3*u + 11 for r. -2 Suppose 0 = 3*m - 76 + 67. Solve -r = -0*x - x + 3, 0 = -m*x + 9 for r. 0 Let n(p) = -p**3 + 8*p**2 - 13*p + 9. Let m be n(6). Solve -x = h - 6 + m, -h = 2*x - 6 for x. 3 Let p be ((-3)/(-2))/((-12)/(-16)). Let x be 41 + (-2 - -2*p). Suppose 8*q - 4*i - x = 3*q, -4*q + i + 30 = 0. Solve -4*r - 3*b + 11 = 0, r - 2*b = q + 4 for r. 5 Let i = 0 - -5. Let k(f) = 3*f - 15. Let h be k(6). Let l = h + i. Solve -x + 9 = 2*v, 3*v = -5*x + 16 + l for v. 3 Let c = 10 - 8. Suppose -d - 3*n = 3, c*d - 11 = n - 3. Solve 4*r - 19 = -z, -z - 3 = -r - d*z for r. 5 Let j(m) = -m. Let t = -6 + 3. Let q be j(t). Suppose n = 3*n - 8, -5*n + 8 = -q*k. Solve 2*d + 5 = -k*s + s, -2*s = -d + 1 for d. -1 Let h(d) = -2*d - 4. Let j be h(-3). Suppose -5*p = j - 12. Solve 4*x = 6*k - k + 41, 0 = p*x - 8 for k. -5 Let k = -9 - -11. Solve 5*w = k*m + 31, 20 = -m + 4*w - 3 for m. -3 Suppose 0 = 5*g - x - 12, -6*g + 16 = -g - 3*x. Solve -2*a + 3*a = -g*i, -3*i = 3*a + 6 for i. 2 Suppose 1 - 16 = -3*z. Solve -3*q - t - 3 + 0 = 0, -4*q - t - z = 0 for q. -2 Let a(l) = -l**2 + 7*l + 11. Let u be a(8). Suppose 3 + 3 = u*b. Solve -2*p + 2*k - b = -6*p, -5*k = -3*p + 21 for p. 2 Let x(l) = l - 4. Let z be x(8). Let t(o) = -3*o - 2. Let q be t(-8). Solve -2*u + q = 3*y, z*u = -4*y + 2*u + 26 for y. 4 Let x = 16 - 12. Solve 18 = -2*v + 4*c, -15 = -5*v - x*c - c for v. -1 Suppose -3*p - 5*r + 69 = 0, p - 10 = -4*r + 20. Suppose x - 3*x = -4*h + p, 12 = -4*h - 4*x. Solve -g = -b, -h*g = 2*b + g + 25 for b. -5 Suppose 4*p = 5*p. Suppose -n = 4*n. Suppose -4*i = -2*w - 20, -3*w = -n*i - 3*i + 21. Solve -4*j = a, p*j = j + i*a for j. 0 Let f be (0 + 3)/(1/31). Suppose 0 = 5*q - f - 67. Solve 4*v = 4*a - q, -3*v - a - 2 = 10 for v. -5 Let n be (-9)/15 - (-23)/5. Suppose y + 5*b = n*y - 11, -5*y - b = -9. Suppose -z - x = -10, 5*z + y*x = 7*x + 20. Solve 5*a + 3 = 5*d - z, -d = 0 for a. -2 Let k = 5 - 0. Solve 10 = k*b, -3*t - 2*t = 2*b - 4 for t. 0 Let n(v) = -v. Let z be n(4). Let d be (2 - 0)*2/z. Let y = 3 + d. Solve 0 = u - 5*u, -y*q - 3*u = 10 for q. -5 Let y = 21 + -16. Solve y*u - 5*k = 0, 3*k = 4*k for u. 0 Let t = 7 - -5. Suppose -t = l + 2*l. Let r = 1 - l. Solve -2*z + 2*j = -4, 3*j + 3 = r*z - 9 for z. 3 Suppose 0 = 8*i - 11*i. Let l = 10 + -5. Suppose -l*f + 2*n = -i*n - 93, 0 = -2*f - 3*n + 41. Solve 4*k + 9 = a + 4*a, 0 = -3*a - k + f for a. 5 Let x(l) = 10*l - 9. Let t(w) = -3*w + 3. Let q(f) = -7*t(f) - 2*x(f). Let d be q(5). Let o = -2 + d. Solve -3 - 3 = -2*z, -4*c - 2*z + 10 = o for c. 1 Let h be 1/(1 - 3/6). Let p(t) = -h + t - 3 - 1. Let x be p(6). Solve -4*l - 3*c - 11 = x, -2*l - 5*c + 5 = -7*l for l. -2 Suppose 3*y - 21 = -3. Let v be 8/12*27/y. Solve -j - 1 = v*r - 0*j, -2*r - 3*j - 10 = 0 for r. 1 Suppose -5*u - 5 = -5*z, z + 5 = 3*z - 3*u. Let w be -4 - (z + 1) - -3. Let r be (3/1)/((-2)/(-2)). Solve w*c = 5*x + r*c, 10 = 5*x + c for x. 3 Let h(d) = 19*d**3 - 4*d**2 + 2*d + 1. Let u be h(1). Solve 2*i - 4*i + u = 2*m, -5*i + 25 = 0 for m. 4 Let l be (4 - 44/8)/((-1)/2). Solve -l*q = 3*x + 3, -3*x + 4 = 5*q - x for q. 2 Suppose 15*c = 18*c. Solve 4*p + 4 = 2*z, -p + c*p - 3*z = -6 for p. 0 Let y(b) be the second derivative of -5*b**5/4 - b**4/12 - b**3/3 - b**2/2 - 2*b. Let c be y(-1). Solve 5*h = -2*u - c, 2*h - u + 15 = -h for h. -5 Suppose 0 = -4*l - 0*l + 4. Let r be (1 - (-4 - -2)) + l. Solve 2*w - 8 = 0, g + 25 = -2*g + r*w for g. -3 Let j(m) = 10*m + 15. Let d be j(-1). Solve 3*x = 2*w + 7, -d*x = -5*w - 0*x - 10 for w. 1 Suppose n = -f - 2*n + 2, 0 = -5*f - n + 10. Solve 2*o - f = -5*v, -5*v + 9 = -3*o - 13 for v. 2 Let z = -31 + 95. Suppose 4*y - z + 20 = 0. Let h = y - 6. Solve 2*w = -3*k - 2*w + 2, h*w + 7 = k for k. 2 Suppose 0 = -p + 4. Let c be (-2)/8 - (-73)/p. Solve 2*x - c = -3*n, 2*x + n + 8 = 6*x for x. 3 Let c be 2 - (-3 - -2) - 19. Let o = -14 - c. Solve -3*h - 4 = o*a, 10*a - 5*a = 4*h - 10 for h. 0 Let s(w) = w**2 + w - 4. Let i be s(-3). Let n be (-7)/(-14) - 2/4. Let v = n + i. Solve j + u = -5, 3*j - v*u = -3*u - 5 for j. 0 Suppose 2*b = -4*f + 122, -4*f = -f - 6. Let q = b - 36. Solve 0 = 4*u - 3*p - q, -5*u + p + 30 = 12 for u. 3 Let m be ((-96)/(-112))/((-4)/(-14)). Solve 2*k - k = -3*g + 4, 0 = -m*g + 4*k - 1 for g. 1 Let u be (3/3)/(3/6). Suppose 0*y - 63 = -3*y. Solve 4 = 5*r - 0*t + u*t, 5*t + y = 3*r for r. 2 Let o = 40 - 38. Solve -4*w - 8 = 4*n, o*n + 5*w = -2*n - 8 for n. -2 Let h(k) = -k**2 + 6*k + 1. Let g be h(5). Let x = g - 3. Solve -6*m + 2 = -2*m + 3*d, -d = 5*m + x for m. -1 Let b = -5 - -10. Solve 2*h - 4*f - 24 = 0, 2*h = b*f + 26 + 2 for h. 4 Suppose -5*n - y + 29 = 0, 4*n = -0*y - y + 24. Solve -p = -4*u + 2*u, -n*p = u - 22 for u. 2 Suppose 1 = 5*h - 34. Let l = h + -2. Solve 4*g + k = -g - 22, l*g + 5*k + 30 = 0 for g. -4 Suppose -p - 2 + 6 = 0. Let w = p - 12. Let f = w - -25. Solve 2*d + f = 3*b - 2*d, 3*b + 5*d + 1 = 0 for b. 3 Suppose -5 = 3*n - 11. Let f be -1 - (-1)/n*-6. Let t(v) = 2*v**2 + 7*v + 6. Let o be t(f). Solve 4*h = 3*w + o, -6*w = -w + 2*h + 8 for w. -2 Let y(i) = -i + 15. Let n be y(14). Let s be (9/(-6))/(n/(-2)). Solve w - 4 = -s*q, 0 = -4*w - 2*q - 8 - 6 for w. -5 Let d(x) = -x**2 - 14*x + 3. Let a be d(-14). Solve -5*o - 4*k = -o + 20, -a*o - 5*k = 21 for o. -2 Let s be 10*1 + (1 - 3). Let x be (6/s)/(2/8). Solve x*y = m - y - 18, 5*m = 2*y for m. -2 Let w(t) = 3*t**2 + 10*t - 9. Let c be w(1). Solve -5*z + 17 = -5*r + r, -c*r = 3*z + 9 for z. 1 Suppose -2*u + 6*z = 3*z + 7, -u = -5*z + 21. Let c(g) = g**2 + 4*g - 2. Let m be c(-5). Solve 3*q - m*d = -0*q + 12, 0 = -u*d - 12 for q. 1 Suppose -4*d + 20 = -5*l, -4*d + 2*l - 25 = -9*d. Let w = d + -1. Solve -w*r + 4 = j, -2*j = -0*j + 3*r - 3 for j. 0 Let q(d) = d**2 + 8*d + 9. Let a be q(-7). Let u be ((-3)/(-2) - a)*0. Let m = 7 + -4. Solve f = 4*i - 2*f + 31, 5*i + m*f + 5 = u for i. -4 Let j be ((-25)/10 - -3)*0. Solve 2*c = 2*l + 6, 2*l - 5*c + j*c = -9 for l. -2 Suppose -n + 7 = -2*g - 0*n, 5 = -n. Let y = 0 - g. Solve y*o - 3*o + 32 = 5*p, -28 = -4*p + 3*o for p. 4 Suppose 17*d = 12*d + 60. Solve -3*r = g - 4, -2*r - 3*g - d = -6*g for r. 0 Let u(x) = x + 8. Let j be u(-4). Suppose 13 = j*i - 7. Solve 2*h = h + i*z + 11, z + 6 = 4*h for h. 1 Suppose t + 12 = 2*c, c = -c + 5*t + 28. Suppose c*k = k + 9. Solve -x - x = 2*q + 4, -k = x for q. 1 Suppose o + 1 = 0, 3*d = -o - 0*o + 11. Let r(l) = l**3 + l**2 + l + 9. Let t be r(0). Solve z + 4*g + 15 = 0, -4*g = -d*z + t + 11 for z. 1 Suppose r = -r - 6. Suppose 0 = -g + 5*o - 13, 23 = -5*g - 3*o + 7*o. Let i be (g + 1)/(-1) - r. Solve 2*v + 2*v - 40 = 4*b, -b - i = 0 for v. 5 Suppose 0 = m - 0*m - 26. Solve w - m = 5*f, 3*f + 4*w - 6*w = -17 for f. -5 Let a = -71 - -95. Solve 3 = y - 4*v - 0,
{ "pile_set_name": "DM Mathematics" }
, -48042, -85450, -133560, -192372, -261886? -5351*f**2 + 49*f - 30 What is the y'th term of 1240431, 2480868, 3721305, 4961742, 6202179, 7442616? 1240437*y - 6 What is the a'th term of 1308014, 1308026, 1308038? 12*a + 1308002 What is the x'th term of 38964369, 77928736, 116893101, 155857464, 194821825, 233786184? -x**2 + 38964370*x What is the c'th term of 7808, 8375, 8942, 9509, 10076, 10643? 567*c + 7241 What is the z'th term of 282275043, 282275041, 282275037, 282275031, 282275023, 282275013? -z**2 + z + 282275043 What is the d'th term of -31820125, -31820116, -31820101, -31820080? 3*d**2 - 31820128 What is the m'th term of 1442963, 2885928, 4328897, 5771870, 7214847, 8657828? 2*m**2 + 1442959*m + 2 What is the v'th term of -37618, -155827, -352836, -628639, -983230, -1416603, -1928752, -2519671? v**3 - 39406*v**2 + 2*v + 1785 What is the m'th term of -139616, -279233, -418848, -558461, -698072? m**2 - 139620*m + 3 What is the y'th term of 2443990, 4887967, 7331940, 9775909, 12219874, 14663835, 17107792? -2*y**2 + 2443983*y + 9 What is the g'th term of -221990, -1775054, -5990282, -14198756, -27731558, -47919770? -221847*g**3 - 135*g - 8 What is the m'th term of 12653484, 12653492, 12653500, 12653508, 12653516, 12653524? 8*m + 12653476 What is the v'th term of 38735, 38846, 38969, 39104? 6*v**2 + 93*v + 38636 What is the y'th term of -1753642, -1753639, -1753636? 3*y - 1753645 What is the u'th term of 25279, 49728, 74179, 98632? u**2 + 24446*u + 832 What is the z'th term of -41197, -41206, -41229, -41272, -41341? -z**3 - z**2 + z - 41196 What is the o'th term of -460973, -922003, -1383087, -1844225, -2305417, -2766663, -3227963? -27*o**2 - 460949*o + 3 What is the r'th term of -3627, -26054, -48477, -70896, -93311, -115722, -138129? 2*r**2 - 22433*r + 18804 What is the u'th term of 79367579, 158735154, 238102729? 79367575*u + 4 What is the s'th term of 77, -1024, -4451, -11368, -22939, -40328, -64699, -97216? -194*s**3 + s**2 + 254*s + 16 What is the g'th term of -92320, -369263, -830836, -1477039, -2307872, -3323335, -4523428? -92315*g**2 + 2*g - 7 What is the d'th term of -314479474, -628958946, -943438418, -1257917890, -1572397362? -314479472*d - 2 What is the k'th term of 24965, 99691, 224249, 398651, 622909, 897035? 2*k**3 + 24904*k**2 + 59 What is the i'th term of -439, -1518, -2855, -4072, -4791, -4634, -3223? 63*i**3 - 507*i**2 + i + 4 What is the i'th term of -267, -478, -615, -684, -691? -i**3 + 43*i**2 - 333*i + 24 What is the v'th term of -12114, -17184, -22258, -27336? -2*v**2 - 5064*v - 7048 What is the d'th term of 6472897, 12945769, 19418641, 25891513? 6472872*d + 25 What is the u'th term of 9279, 9282, 9289, 9300, 9315, 9334? 2*u**2 - 3*u + 9280 What is the f'th term of 13094838, 13094837, 13094836? -f + 13094839 What is the x'th term of 1633, 1393, 1207, 1099, 1093, 1213, 1483, 1927? 4*x**3 + 3*x**2 - 277*x + 1903 What is the c'th term of 186826, 373710, 560646, 747634, 934674, 1121766, 1308910? 26*c**2 + 186806*c - 6 What is the r'th term of -14675075, -29350142, -44025209? -14675067*r - 8 What is the a'th term of 4975, 4955, 4923, 4873, 4799? -a**3 - 13*a + 4989 What is the g'th term of -25048, -26752, -28450, -30142, -31828? 3*g**2 - 1713*g - 23338 What is the p'th term of 36511, 36516, 36521, 36526, 36531, 36536? 5*p + 36506 What is the a'th term of 2379, 4284, 5821, 6990? -184*a**2 + 2457*a + 106 What is the s'th term of 39018, 38964, 38876, 38748, 38574, 38348? -s**3 - 11*s**2 - 14*s + 39044 What is the o'th term of 1682632, 1682512, 1682392, 1682272, 1682152, 1682032? -120*o + 1682752 What is the o'th term of -52392, -209563, -471524, -838281, -1309840, -1886207? -o**3 - 52389*o**2 + 3*o - 5 What is the i'th term of -1687, -2823, -4707, -7333, -10695, -14787, -19603, -25137? i**3 - 380*i**2 - 3*i - 1305 What is the p'th term of 38954, 39346, 39728, 40094, 40438? -p**3 + p**2 + 396*p + 38558 What is the m'th term of -1972641901, -1972641892, -1972641869, -1972641826, -1972641757? m**3 + m**2 - m - 1972641902 What is the m'th term of 15209, 15769, 16329, 16889, 17449? 560*m + 14649 What is the v'th term of -251761, -1001301, -2250535, -3999463, -6248085, -8996401? -249847*v**2 + v - 1915 What is the m'th term of 12033, 95878, 323401, 766440, 1496833, 2586418, 4107033, 6130516? 11973*m**3 + m**2 + 31*m + 28 What is the v'th term of 216, 883, 2382, 5079, 9340? 61*v**3 + 50*v**2 + 90*v + 15 What is the p'th term of 310794946, 621589895, 932384844, 1243179793, 1553974742, 1864769691? 310794949*p - 3 What is the u'th term of 41701, 47161, 52621, 58081, 63541, 69001? 5460*u + 36241 What is the x'th term of 21411, 20474, 19537? -937*x + 22348 What is the t'th term of 27509999, 27509994, 27509987, 27509978, 27509967, 27509954, 27509939? -t**2 - 2*t + 27510002 What is the s'th term of 109207201, 109207189, 109207167, 109207129, 109207069, 109206981, 109206859, 109206697? -s**3 + s**2 - 8*s + 109207209 What is the x'th term of -25715, -47148, -68577, -90002, -111423, -132840, -154253? 2*x**2 - 21439*x - 4278 What is the j'th term of -23493, -46850, -69969, -92850, -115493, -137898, -160065? 119*j**2 - 23714*j + 102 What is the g'th term of 5370, 42617, 143622, 340263, 664418, 1147965? 5313*g**3 + g**2 + 53*g + 3 What is the w'th term of 97135, 194282, 291429? 97147*w - 12 What is the l'th term of -1571, -2850, -4131, -5414, -6699, -7986, -9275? -l**2 - 1276*l - 294 What is the a'th term of 25473073, 50946145, 76419217? 25473072*a + 1 What is the l'th term of 498673, 498662, 498649, 498634? -l**2 - 8*l + 498682 What is the n'th term of 23697, 46184, 68671, 91158? 22487*n + 1210 What is the i'th term of 1245, 5491, 12737, 22983? 1500*i**2 - 254*i - 1 What is the z'th term of -79279, -158506, -237737, -316972, -396211, -475454, -554701? -2*z**2 - 79221*z - 56 What is the x'th term of -4514, -4830, -5156, -5498, -5862, -6254, -6680? -x**3 + x**2 - 312*x - 4202 What is the p'th term of 422496, 1689952, 3802378, 6759774, 10562140, 15209476? 422485*p**2 + p + 10 What is the g'th term of 651235358, 1302470715, 1953706072, 2604941429, 3256176786? 651235357*g + 1 What is the g'th term of 65228, 65241, 65254, 65267? 13*g + 65215 What is the k'th term of 245313977, 490627953, 735941929, 981255905? 245313976*k + 1 What is the u'th term of -20005, -79885, -179695, -319435, -499105, -718705? -19965*u**2 + 15*u - 55 What is the b'th term of -5702, -11570, -17464, -23384, -29330, -35302, -41300? -13*b**2 - 5829*b + 140 What is the o'th term of -33034, -260246, -876972, -2077972, -4058006, -7011834, -11134216? -32460*o**3 + 3*o**2 - o - 576 What is the y'th term of 36490264, 72980535, 109470806? 36490271*y - 7 What is the n'th term of 5200, 41543, 140122, 332035, 648380? 5183*n**3 + 20*n**2 + 2*n - 5 What is the y'th term of -35869, -35798, -35727, -35656, -35585? 71*y - 35940 What is the a'th term of -13807, -26067, -38313, -50539, -62739, -74907, -87037, -99123? a**3 + a**2 - 12270*a - 1539 What is the n'th term of -133, -167, -189, -181, -125, -3, 203, 511? 3*n**3 - 12*n**2 - 19*n - 105 What is the t'th term of 931375, 932417, 933459, 934501? 1042*t + 930333 What is the q'th term of -1158, -3563, -7192, -12045, -18122? -612*q**2 - 569*q + 23 What is the w'th term of -713434, -713431, -713428? 3*w - 713437 What is the u'th term of 3892, 31180, 105244, 249466, 487228, 841912? 3897*u**3 + 6*u**2 - 9*u - 2 What is the j'th term of -354077, -708171, -1062277, -1416395? -6*j**2 - 354076*j + 5 What is the f'th term of 1587, 1617, 1763, 2085, 2643, 3497, 4707? 10*f**3 - 2*f**2 - 34*f + 1613 What is the z'th term of 61088, 60976, 60794, 60542, 60220, 59828, 59366? -35*z**2 - 7*z + 61130 What is the r'th term of -185984, -371990, -557996? -186006*r + 22 What is the z'th term of -12435, -18187, -23939, -29691, -35443, -41195? -5752*z - 6683 What is the i'th term of 4069407, 8138815, 12208223, 16277631? 4069408*i - 1 What is the h'th term of 8326, 12085, 15844, 19603, 23362, 27121? 3759*h + 4567 What is the j'th term of -152, -1166, -3796, -8804, -16952, -29002? -127*j**3 - 46*j**2 + 13*j + 8 What is the w'th term of 236, -46, -2324, -8080, -18796, -35954, -61036? -247*w**3 + 484*w**2 - 5*w + 4 What is the c'th term of 295221, 295214, 295207, 2952
{ "pile_set_name": "DM Mathematics" }
*2 + 18*s + 4. Let x be j(-9). What is the second derivative of 4 - x*c**5 - 22 + 89*c + 18 wrt c? -1700*c**3 Let v(b) be the second derivative of 0 - 10*b + 11/42*b**7 + 0*b**6 - 1/20*b**5 + 0*b**3 - 5/6*b**4 + 0*b**2. Find the third derivative of v(r) wrt r. 660*r**2 - 6 Let t be 3*4/24 + (-213)/(-6). What is the first derivative of -t + 2*m**2 + 24*m + 22*m - 62*m wrt m? 4*m - 16 Let v(a) = -a**3 - 17*a**2 - 14*a + 32. Let s be v(-16). Find the second derivative of -1 + g**5 - g**4 + 34*g - 26*g**4 - 86*g + s*g**5 wrt g. 20*g**3 - 324*g**2 Let t(a) be the second derivative of -401*a**6/30 - a**4/6 - 18*a**3 - 567*a. What is the third derivative of t(n) wrt n? -9624*n Let y(n) be the second derivative of -n**4/6 + 46*n**3/3 - 1241*n**2/2 + 141*n - 1. Find the first derivative of y(j) wrt j. -4*j + 92 Let l(v) = -5*v - 31. Let j be l(-7). Find the first derivative of 32 + 138*b**j - 58 + 48 wrt b. 552*b**3 Let k(n) = -2*n**2 + 18*n + 2. Let g be k(9). Find the third derivative of -23*t**g - 201*t**4 - 39 + 9*t**2 + 39 - 14*t**2 wrt t. -4824*t Let d(v) be the first derivative of 11995*v**4/4 - 10999*v + 10513. What is the first derivative of d(j) wrt j? 35985*j**2 Let i(h) be the first derivative of 55*h + 15/2*h**4 - 34 + 0*h**3 + 0*h**2. What is the derivative of i(t) wrt t? 90*t**2 Find the second derivative of 694*v**3 + 491*v + 2*v**4 - 2*v**4 + 165*v**5 + 912*v - 684*v**3 wrt v. 3300*v**3 + 60*v Let s(l) = -l**3 - l**2 - l + 1. Let v(r) = -r**5 + 1599*r**3 + 5*r**2 + 203*r - 6. Let o(h) = -5*s(h) - v(h). Find the second derivative of o(n) wrt n. 20*n**3 - 9564*n Let v(z) = -6811*z**3 + 3333*z**2 + 11*z + 13. Let s(f) = -f**3 + 3*f**2 - f - 1. Let p(u) = -13*s(u) - v(u). What is the third derivative of p(i) wrt i? 40944 Let t be 3*8/(-30)*5 + 8. Find the third derivative of -16*y**4 + 0*y**4 - 41*y**2 - 13*y**t - 3*y**2 wrt y. -696*y Let b(y) = -3*y - 16. Suppose 12 = 3*w - 5*w. Let a be b(w). Find the first derivative of 2*z**3 + 18*z**2 + 19*z**a - 37*z**2 + 8 wrt z. 6*z**2 Let x(v) be the third derivative of 3 + 1/2*v**5 + 1/12*v**4 + 47/6*v**3 + 0*v - 4*v**2. What is the second derivative of x(l) wrt l? 60 Let w(n) be the first derivative of -17*n**4/2 - 61*n**3/3 + 191*n**2 + n + 6514. Find the second derivative of w(r) wrt r. -204*r - 122 Let c be 1 - 5 - (8 - 12). Let l be -1 - (-3)/(-3 - c) - -4. Find the third derivative of z**l + 7*z**2 - 58*z**3 + 52*z**3 wrt z. -36 Let t = 24 - 9. Suppose t*c + 3*c = 36. What is the derivative of 0 + 26 - 9*o**c - 4 - 24*o**2 wrt o? -66*o Suppose -5*j = -2*c - 2*c - 124, -c + 88 = 3*j. Suppose -4*a + 4 + j = 0. Differentiate 4*r**3 + a*r**3 + 11 - 21 + 11 wrt r. 36*r**2 What is the third derivative of 348*x**5 - 2078*x**6 - 177*x**5 + 0*x**2 - 11*x**2 + 5 - 171*x**5 + 4*x wrt x? -249360*x**3 Let q = 304 + 44. Let t = 1059 - q. Find the third derivative of -t*v**6 + 352*v**6 - 13*v**2 + 352*v**6 wrt v. -840*v**3 Let i(w) = 41*w**3 - 347*w**2 - 8*w + 3236. Let r(f) = 26*f**3 - 231*f**2 - 5*f + 2157. Let o(y) = -5*i(y) + 8*r(y). Differentiate o(v) with respect to v. 9*v**2 - 226*v Let j(b) = b**4 + 4*b**3 - b**2 + 1. Let s(z) = 379*z**4 + 12*z**3 - 3*z**2 - 240. Let w(q) = -6*j(q) + 2*s(q). Find the first derivative of w(a) wrt a. 3008*a**3 Let z(o) = 10 - 4 - 3*o - 3 + 7. Let k be z(-2). What is the third derivative of -7*y**2 - k*y**2 - 2*y**3 - 5*y**2 - 7*y**3 wrt y? -54 Let q = 28 - 10. Suppose 10 = q*g - 13*g. Find the second derivative of 3*n + 10*n**2 - 8*n**2 - 11*n**g wrt n. -18 Suppose 18*o - 17*o + 10 = 3*a, -20 = 5*o. What is the third derivative of 246 - 248 - 5*d**a - 27*d**5 - 29*d**5 + 4*d**2 wrt d? -3360*d**2 Let o(u) = -6*u**3 - 6*u**2 + 8*u - 32. Let r(p) be the first derivative of p**3/3 - p + 14. Let f(n) = -o(n) - 6*r(n). Find the first derivative of f(s) wrt s. 18*s**2 - 8 Suppose 6*y - 19 = -1. Let s = y - 1. Find the first derivative of -s + 19*v**3 + 5*v**3 - 7*v**3 wrt v. 51*v**2 What is the third derivative of -2070*l**3 - l**2 + 4095*l**3 + 2327 + 1251 + 570*l**3 + 3250*l**3 wrt l? 35070 Let h(u) be the first derivative of 6358*u**5/5 - 7066*u + 788. What is the first derivative of h(m) wrt m? 25432*m**3 Let c(y) = -y**3 + y**2 - y + 6. Let x(i) = 881*i**3 - 6*i**2 + 6*i + 2819. Let z(p) = 6*c(p) + x(p). Differentiate z(h) with respect to h. 2625*h**2 Let l = 51 + -51. Let t be ((-9)/(-45))/(1/15). What is the second derivative of 48*z + 0 + 5*z**t + 26*z**3 + l wrt z? 186*z Let o(s) be the second derivative of s**6/10 + 62*s**5/5 - 32*s**2 - 2*s - 50. What is the first derivative of o(d) wrt d? 12*d**3 + 744*d**2 What is the third derivative of 2244*p**2 - p**5 - 216*p**4 + 183*p**4 + 3*p**5 - 3*p**5 - 980*p**4 wrt p? -60*p**2 - 24312*p Let s be 0 + 5 + 43 + -28. What is the third derivative of 6*d**2 - 4 + s*d**2 - 122*d**3 - 29*d**2 wrt d? -732 Find the second derivative of -60*q**2 + 6*q**2 + 54*q**2 + 2238*q - 7791*q**5 + 2462*q wrt q. -155820*q**3 What is the second derivative of -22 + 66*j**3 + 6*j**2 - 17 - 234*j + 70*j - 15 + 52 wrt j? 396*j + 12 Let g(q) be the first derivative of 1094*q**6/3 + 23*q**2/2 + 32*q - 19. Find the second derivative of g(c) wrt c. 43760*c**3 Suppose 0*z - 2*z + 194 = 0. Let c = -1439 - -1441. Find the third derivative of z + 27*n**c - 97 - 13*n**4 wrt n. -312*n Let x = -49 - -41. Let s(w) = -7*w - 4. Let i be s(x). What is the derivative of -69*k**2 - 5*k + i*k**2 - 7 + 5*k wrt k? -34*k Let i(q) be the first derivative of 0*q**4 + 116 + 123/7*q**7 + 0*q**6 - 2/3*q**3 + 0*q**5 - 7*q + 0*q**2. What is the third derivative of i(o) wrt o? 14760*o**3 Let y(k) be the third derivative of 1/30*k**5 + 0*k**6 + k**2 + 0 - 137/210*k**7 + 21*k + 11/2*k**4 + 0*k**3. What is the third derivative of y(f) wrt f? -3288*f Let h(x) = -27*x - 27*x + 55*x + 0 + 3. Let a(s) = -264*s**2 - 4*s + 47. Let p(f) = a(f) + 5*h(f). Find the second derivative of p(l) wrt l. -528 Let o(l) be the second derivative of -17*l**7/21 + 14*l**3/3 - 8*l**2 + 644*l + 2. Find the second derivative of o(w) wrt w. -680*w**3 Let z(f) = -3*f + 5. Let n = -93 + 93. Let t be z(n). Find the second derivative of 14*y**5 + 12*y**5 + 4*y**t - 5 - 2*y**5 - y wrt y. 560*y**3 Let o(a) = a**2 - a. Let w be 6/(7 - (2 + 2)). Let v(t) = -t**3 - 11*t**2 - 2*t - 15. Let p(l) = w*o(l) - v(l). What is the derivative of p(g) wrt g? 3*g**2 + 26*g Suppose -316*j = -308*j - 64. Let p be -8*(-2)/(1/1). What is the second derivative of -19*y**2 + 4*y - p*y + 8 - j wrt y? -38 Let t(f) be the first derivative of 52 + 74/7*f**7 - 25/3*f**3 + 0*f**5 + 0*f + 0*f**6 + 0*f**4 + 0*f**2. Find the third derivative of t(n) wrt n. 8880*n**3 Let o(p) be the first derivative of -43*p**5/5 + 3*p**4/2 + 5*p**3/3 - 1762*p**2 + 1680. Find the second derivative of o(f) wrt f. -516*f**2 + 36*f + 10 Let l be 0 + 4 + 1 + -1. Suppose -4*d - 12 = 18*i - 22*i, -4*i + 48 = 8*d. Find the third derivative of 15*o**2 - 64*o**2 - i*o**3 + 14*o**l - 10*o**4 wrt o. 96*o - 36 Let q(u) = 178*u**4 - 3*u**3 - 10*u - 333. Let y(r) = -177*r**4 + 2*r**3 + 8*r + 334. Let o(v) = 4*q(v) + 5*y(v). Find the first derivative of o(z) wrt z. -692*z**3 - 6*z**2 Let l(c) = 4165*c**3 + 677*c**2 + 24*c. Let p(z) = -2776*z**3 - 451*z**2 - 17*z. Let a(i) = -5*l(i) - 7*p(i). Find the third derivative of a(y) wrt y. -8358 Let c(x) = -13*x**2 - x + 1. Let q be c(1). Let u be (-1 - 0)/(27/q - -2). Differentiate 2*j + 2*j + 6*j - u + 3*j with respect to j. 13 Let f(t) be the third derivative of -2362*t**7/105 - t**5/60 + 5*t**4/12 - 5*t**3/3 - 6*t**2 - 99*t + 1. What is the third derivative of f(h) wrt h? -113376*h Let b(x) be the first derivative of 0*x**4 - 2 + 0*x - 33/5*x**5 - 77/2*x**2 + 0*x**3. What is the second derivative of b(t) wrt t? -396*t**2 Let v(q) be the first derivative of 0*q**3 - 3*q**6 + 0*q**4 + 94 + 0*q - 55/2*q**2 - 2/5*q**5. Find the second derivative of v(u) wrt u. -360*u**3 - 24*u**2 Let q = 29 - 50. Let d = q + 21. Differentiate d - 19*p - 1 - 1 + 6 with respect to p. -19 Suppose 64*h - 101*h = 0. Let b(y) be the first derivative of h*y - 4*y**5 + 7/2*y**2 - 3 + 0*y**3 + 0*y**4. Find the second derivative of b(z) wrt z. -240*z**2 Let t be ((-39)/(-26))/((27/12)/3). Find the second derivative of d - 2*d**3 - 1 - 52*d**t - 31
{ "pile_set_name": "DM Mathematics" }
fference between 0 and -0.05149? 0.05149 Calculate -0.0988 - 20.24. -20.3388 Work out 0.116078 + 0.4. 0.516078 What is -2 less than 34131? 34133 -75 - 76 -151 What is the distance between -37630 and 12.5? 37642.5 What is 1.1 + -254? -252.9 Subtract -0.216 from -1357. -1356.784 Calculate -0.7 - 0.75. -1.45 What is 12.46 plus 80? 92.46 Put together -0.5 and -0.0144. -0.5144 4.41 - 1010 -1005.59 Total of 0 and -35639. -35639 Calculate 1 - -59314. 59315 11.63318 + 0.3 11.93318 Add together 0.20463 and 0.2. 0.40463 Calculate -0.139 - 24146. -24146.139 -92.43 + 0.3 -92.13 Total of 824820 and 2. 824822 Add 1.86 and 5. 6.86 0.06 + 35183 35183.06 Put together -5055.2 and -0.2. -5055.4 20.9 - 10983 -10962.1 -2 + -48.3 -50.3 Put together -26 and 0.45712. -25.54288 0.504736 - 0.3 0.204736 What is -1 less than -1446? -1445 Sum 1.2 and -33.6411. -32.4411 -0.27 + -4.5 -4.77 What is -0.0448 - 1823.5? -1823.5448 What is 6 less than 185.813? 179.813 1002613 - 0.2 1002612.8 What is -0.02 - 1925233? -1925233.02 What is 0.2 less than -17036? -17036.2 What is -468 take away -120? -348 Sum -346 and 4. -342 Add together 54 and -3.147. 50.853 What is the distance between -0.2 and 12555? 12555.2 What is the distance between 0.95 and -0.019? 0.969 What is -171 plus -0.11? -171.11 Work out 190 + -16838. -16648 -4 - 380 -384 Put together -10 and -15.32. -25.32 What is -10.7 + 0.214? -10.486 What is the difference between 0.2 and 8927? 8926.8 Sum -26 and 0.45. -25.55 Put together 0 and -5156. -5156 Work out -235 + 1911.9. 1676.9 What is the distance between 0.4 and -0.1162? 0.5162 Subtract -0.066 from 20.22. 20.286 What is the distance between 5 and 0.005438? 4.994562 Total of -104 and 60. -44 What is 2663 plus -140? 2523 What is -145 minus 77? -222 What is -35 minus -156? 121 Work out -14 + 43.4. 29.4 What is 0.3 less than 0.005? -0.295 Add 89.8949 and 0.3. 90.1949 What is 3001 less than 496? -2505 -0.07+-14.548 -14.618 Calculate 29 - -74318. 74347 What is -3666 take away -2? -3664 What is the distance between 6.185 and 0.4? 5.785 What is -293 - 2.211? -295.211 What is -900 + -6? -906 -0.153 - -194 193.847 Sum -0.06 and -53.1648. -53.2248 What is -4 take away -1907? 1903 Total of 0.083 and 0.81. 0.893 Add -116 and 0.15. -115.85 Put together -0.3 and -185. -185.3 What is -2938 + -929? -3867 122.2707 - 0.1 122.1707 What is 229.87 plus -4? 225.87 What is -11 less than -34698? -34687 What is 12300 less than 1.1? -12298.9 -27+-31.58 -58.58 Put together -2 and -0.065097. -2.065097 Calculate -2 + -6105. -6107 Work out -0.3 - 1309. -1309.3 Total of -25 and 35980. 35955 Sum 17263 and 1.02. 17264.02 What is 1598.7 less than 5? -1593.7 What is 6 take away 29.9957? -23.9957 -228 - 17135 -17363 What is -67.2 minus 0.8? -68 Work out -2 + -0.03857. -2.03857 Add 0 and 15.4. 15.4 What is 320 + -6? 314 1.5+-0.0961 1.4039 What is 0.10333 less than -1.7? -1.80333 Work out -583 + -1120. -1703 Add -1950 and 727. -1223 What is 203 plus 0.123? 203.123 Calculate -884215 + 5. -884210 Add -0.20699 and 1. 0.79301 What is -1548 minus 0.05? -1548.05 What is 563 - 14? 549 Total of -0.1379 and -0.6. -0.7379 Work out 2.72 - 110. -107.28 What is the difference between -0.089436 and -34? 33.910564 Put together -11 and -9933. -9944 Add -0.5 and 326. 325.5 Add together 5 and -0.0343. 4.9657 Subtract 1 from 231239. 231238 Work out -0.3 - 782788. -782788.3 What is 0.5 plus 22.73? 23.23 Calculate 3055 - 7. 3048 Subtract -7 from -170397. -170390 What is the distance between 4 and 8.64? 4.64 -73 + 10 -63 Total of 48 and 16. 64 Add together -37 and -20911. -20948 Work out 79193 - 0.5. 79192.5 What is -0.5 less than -0.02476? 0.47524 Add -14 and 58. 44 Subtract 64515 from -2. -64517 What is 20625 minus -0.131? 20625.131 What is 0.035 - 0.006? 0.029 What is -4 + 1.591? -2.409 -6745 - 12 -6757 -0.08701 - 0.1 -0.18701 What is -0.0199 + -0.4? -0.4199 Total of -0.005181 and -0.3. -0.305181 Put together 0.5 and -1.125. -0.625 0.3 + 22949 22949.3 What is 0.619 - -0.02? 0.639 What is the distance between -36048 and 0.1? 36048.1 What is the distance between -1874 and -5? 1869 Calculate 0.013 + 1.097. 1.11 What is -5 take away 26165? -26170 What is the distance between -5 and -43163? 43158 What is -23.63 minus 0.12? -23.75 Add together 2903 and 72. 2975 0.01 - 31625 -31624.99 Total of 2.7 and 33.18. 35.88 What is the distance between -5198 and 0.13? 5198.13 Work out 1371 - -0.7. 1371.7 -120.45 + -3 -123.45 What is -332338 minus -3? -332335 What is 0.2552 - 0? 0.2552 Work out -0.06 + -0.788. -0.848 -5 + 13.12461 8.12461 Calculate -738.115 - -0.01. -738.105 What is 3654 - 3? 3651 5 + 48600 48605 What is -276.7 + -3? -279.7 -0.07 + -77.5 -77.57 Subtract 2 from 9.1. 7.1 What is -2265.52 less than 0.5? 2266.02 Sum -286971 and -0.6. -286971.6 What is the difference between 42 and -4.7092? 46.7092 Work out -0.5 - -0.1314. -0.3686 Sum -7201 and 0.4. -7200.6 Work out -2769 - 56. -2825 Put together 1671 and -0.012. 1670.988 Work out -1 - 12569. -12570 What is 0.1 minus -0.0962434? 0.1962434 What is the difference between -9.3363 and 0.03? 9.3663 What is -0.2 less than -611.533? -611.333 What is the difference between -57.4 and -0.088? 57.312 Subtract -0.317 from 0.29. 0.607 What is -0.43384 - -18.9? 18.46616 Subtract -10 from -5055.9. -5045.9 What is the distance between -0.4 and -828.9? 828.5 What is -107 minus -0.23? -106.77 What is -2095 minus 0.2? -2095.2 Sum 42 and 0.1. 42.1 Subtract 15.502 from -0.04. -15.542 Add 63162 and -3. 63159 Work out 179.9542 - 0. 179.9542 Add 32258.1 and -9. 32249.1 What is -0.1738 take away 5? -5.1738 What is -2.02 less than -212? -209.98 What is the difference between -1466233 and 2? 1466235 Total of -0.02 and 23409. 23408.98 Calculate 0.2 - -5095. 5095.2 -2.1 - 525 -527.1 What is 4.1479 minus 0.5? 3.6479 Put together 5 and 1141. 1146 Add together -649.9326 and -0.2. -650.1326 Add -5 and -4.9901. -9.9901 What is 48469 minus 0.5? 48468.5 What is -1.4 minus 0.04? -1.44 What is -3209 minus -0.1? -3208.9 What is -123.4 less than -4? 119.4 What is -203 minus -0.02? -202.98 What is 0.09 minus 1897? -1896.91 Put together 609 and -10. 599 Sum 0.38 and -0.91. -0.53 What is -2.46 plus 3.08? 0.62 Work out -0.066 - 215. -215.066 Subtract 905.4 from 6. -899.4 Add together -0.015 and -4.04997. -4.06497 Add -3.1 and 59892. 59888.9 Add 1 and 0.6304. 1.6304 What is the difference between 403 and -17? 420 Total of 17 and 149. 166 What is -4 less than -3166? -3162 What is 5 + -1312? -1307 Add 0.889 and -0.1. 0.789 Sum -2498 and 16.9. -2481.1 What is 0.78 - -14.71? 15.49 -0.501 - -0.5 -0.001 3 + -2659 -2656 What is 0.81803 take away 2.6? -1.78197 What is 0.707 minus 3? -2.293 Add together -0.5 and 0.15105. -0.34895 What is -70.41234 minus -0.4? -70.01234 What is 0.04 less than 1860? 1859.96 What is the difference between -28610 and 0.1? 28610.1 Add 0.3 and 32. 32.3 Work out -0.0313 - 260. -260.0313 Sum 0.1 and -4102. -4101.9 Total of 3 and -0.7826. 2.2174 2.4 + -3.32 -0.92 What is the distance between 12483 and -0.5? 12483.5 What is 11 less than 1991? 1980 Add together -2.7 and -42. -44.7 Work out 18 - -141173. 141191 Sum 3.16 and 2637. 2640.16 What is 100496 plus -0.1? 100495.9 Work out 0.008 + -72. -71.992 Add 0.1 and 0.0064. 0.1064 What is the distance between -0.7 and 603? 603.7 Work out 40067 + -17. 40050 What is 67441.08 take away -0.2? 67441.28 Put together 326.5 and -0.58. 325.92 Work out -1028 + -0.1. -1028.1 Add together 274 and 6.661. 280.661 -16.9+-120 -136.9 What is 0.3 minus -4103933? 4103933.3 -0.08 - -2401.04 2400.96 Add together 677 and -2. 675 What is -204 + 0.1? -203.9 Add 0.16 and 0.399. 0.559 Add -3 and 206. 203 Calculate 1063.377 + -1. 1062.377 Put together -13143 and -0.3. -13143.3 Work out 2 + -5224. -5222 Calculate -4 - 252.6. -256.6 Add together -11 and -85.7. -96.7 What is -1837 plus 732? -1105 -0.04 - 0.1165272 -0.1565272 What is -297.368 less than -4? 293.368 Subtract -0.3 from -6629. -6628.7 What is 146115 + -0.2? 146114.8 What is 0.28 take away -35859? 35859.28 What is -12111 + 0.032? -12110.968 What is 1.93 less than 8? 6.07 What is -25 - -0.015722? -24.984278 Sum 0.0177 and -0.521. -0.5033 Calculate -0.258 - -0.08. -0.178 Total of 6 and -680. -674 What is the distance between -4 and
{ "pile_set_name": "DM Mathematics" }
, -1, b Suppose -5*k - 2*o - 4 = 12, 2*o - 4 = 0. Put k, 1, -1, 4 in descending order. 4, 1, -1, k Suppose 5*b + 13 = 33. Let a = b + -3. Let d be 2 + (0 - -2*a). Put 5, d, 2 in decreasing order. 5, d, 2 Let j be -1 + ((-9)/(-6) - 2)*-6. Suppose -3*b - 2*m + 3 = m, b + 7 = -3*m. Sort 1, b, j in descending order. b, j, 1 Suppose 0 = 2*p + 4*h - 16, -3*p + 4*h - 26 = -0*h. Let m be ((-6)/p)/(-3) + 5. Let j(b) = -b**2 + 3*b + 4. Let v be j(4). Sort v, -2, m in descending order. m, v, -2 Let r be 1 - (-7)/((-35)/2). Sort -3/4, 5/2, r in ascending order. -3/4, r, 5/2 Let x(j) = j**2 - 20*j + 10. Let g be x(19). Put g, -4, 0 in ascending order. g, -4, 0 Let g(i) = -i**3 - 4*i**2 + 14*i + 12. Let l be g(-6). Sort 0.1, l, 3, 4 in decreasing order. 4, 3, 0.1, l Let h(j) = -j**3 + 7*j**2 - 7*j + 4. Let a be h(6). Let y be (1 - -1 - 3)/(20 + -19). Sort a, y, 3. a, y, 3 Suppose 0 = t - 1 - 7. Suppose o + 0*o = -t. Let j = -5 - o. Put 1, -5, j in descending order. j, 1, -5 Let q be 238/(-210) + 4/30. Sort 1, q, -5 in ascending order. -5, q, 1 Let s = 19 - 23. Sort -2, 4, 3, s in ascending order. s, -2, 3, 4 Let c be -5 + (1 + 2)/3. Let i = -3.88 - 1.12. Put -0.4, i, c in descending order. -0.4, c, i Let o = -14 - -13. Let n = -28.3 + 27. Let y = o - n. Sort y, -3, 3/8 in increasing order. -3, y, 3/8 Suppose 2*g + 3*i + 8 = 0, -2*g + 2*i + 0*i - 8 = 0. Let s(u) = -u**2 + 6*u + 7. Let l be s(5). Let k = l + -7. Sort k, g, 2 in decreasing order. k, 2, g Let i be ((-2)/4)/((-1)/(-4)). Let p = 39 + -43. Put p, 4, i in descending order. 4, i, p Let q = 159 + -2069/13. Let r = 0.2 - 0. Let g = -0.2 + r. Put -0.1, q, g in descending order. g, -0.1, q Let c = -83/58 + -2/29. Suppose -12 = 4*l - 0*l. Sort -0.3, c, l in decreasing order. -0.3, c, l Suppose 0 = 5*h - 2*o + 30, -h - 6 + 0 = 2*o. Sort h, -1/5, 4. h, -1/5, 4 Let s = -1.6 + -7.4. Let j = s - -9.2. Sort 0.4, -2, j in descending order. 0.4, j, -2 Let z = 10 + -14. Let s = 0.8 + -0.3. Put s, z, -1 in decreasing order. s, -1, z Suppose 0 = 22*g - 24*g. Put -2, 2, g in decreasing order. 2, g, -2 Let y = 4 - -1. Sort 2/5, y, 0 in decreasing order. y, 2/5, 0 Let m = -1 - 1. Let i = 8 - 8.6. Let k = 0.4 + i. Put k, m, -2/13 in decreasing order. -2/13, k, m Let y(k) = k**2 - 5*k - 1. Let h be y(5). Suppose 3*o - 8 = -o. Let v be ((-10)/(-8))/(o/8). Put -2, h, v in ascending order. -2, h, v Let o = 541/9 + -181/3. Let p(v) = -v + 9. Suppose 5*s = 10*s - 50. Let t be p(s). Sort o, t, -2/3 in descending order. o, -2/3, t Suppose -5*k + 10 = 0, -3*k = 4*z - 0*k + 2. Let n = 1 - 1. Let q = n - 0. Sort z, -1, q in decreasing order. q, -1, z Let c = 21 + -31. Put c, -2/7, -3 in descending order. -2/7, -3, c Let o be (10 + 2)*(-1)/(-10). Let t = -6 - -9. Let z = 0 - 0. Put z, o, t in descending order. t, o, z Let p = 9 - 7. Suppose -6 = -p*l - 2. Let o be (-1)/(1*1/5). Sort o, 3, l. o, l, 3 Let z = -7 + 15. Suppose -5*q = 5*f, -2*q - 3*f - z = -5*f. Put -1, q, -5 in decreasing order. -1, q, -5 Let p be (-15)/6 - 3/6. Sort p, 0.3, -0.09. p, -0.09, 0.3 Let k = 14 - 10. Put 3, 0, k in descending order. k, 3, 0 Let w = 147 + -2207/15. Put w, 0.1, -2 in increasing order. -2, w, 0.1 Let l(n) = -n**2 - 3*n + 2. Let w be l(0). Sort w, -5, -8 in decreasing order. w, -5, -8 Let i = 2 + -2.4. Let m = -4 + 6. Let n = -5.1 - -5. Put m, i, n in descending order. m, n, i Suppose 4*f - 4*s + 6 = 30, -f + 14 = -3*s. Sort f, 0, 1 in decreasing order. f, 1, 0 Let u = 30 - 12. Suppose 2*j + 0*j - 3*q = -9, -j - 3*q = -u. Suppose 5*k - 25 = -n - 3*n, -2*n + 8 = -2*k. Put k, j, 0 in decreasing order. j, k, 0 Let b(q) = 3*q**3 + q**2 + 5*q - 5. Let k(n) = 5*n**3 + n**2 + 7*n - 7. Let y(l) = 8*b(l) - 5*k(l). Let g be y(4). Sort -5, 3, g. -5, g, 3 Let q = 5.05 + -0.05. Let h = -68 + 77. Sort q, 1, h. 1, q, h Let y be ((1 - 3) + 2)*1. Suppose 0 = -4*k + 9*k + 5. Put y, 2, k in decreasing order. 2, y, k Let m = 76/63 + -16/9. Put m, -1/5, 3 in decreasing order. 3, -1/5, m Let t = -38 + 58. Let o be 17/5 - t/50. Sort -4, 5, o in descending order. 5, o, -4 Let c = 333/5 + -67. Let t be (-11)/(-7) - (1 + 0). Sort -0.1, t, c in decreasing order. t, -0.1, c Let a = 12 - 13. Sort 4, a, 2 in descending order. 4, 2, a Let v be (7 + -5)*2*(-15)/20. Let y(j) = 5*j**2. Let h be y(-1). Sort 3, v, h. v, 3, h Let g = 15 + -13. Let h be 4/8*4/6. Sort h, -2, g in descending order. g, h, -2 Let x be 4/18 + (-100)/45. Let f be 1/x*6 + 3. Put f, -4, 2 in decreasing order. 2, f, -4 Let l be 4 + 0 + -3 - 0. Sort 0, 2, l, -2. -2, 0, l, 2 Suppose 4 = 5*x - 3*h - 1, 0 = -h + 5. Suppose -5*k - 25 = 5*f - 3*f, f + k = -5. Suppose 5*o = w - 14, o + f = x*w + 1. Sort 0, w, 2/11. w, 0, 2/11 Suppose 4*q + 10 = -2*y, q + q + 7 = -3*y. Let u be 27/(-6) - (-6 - -4). Put u, -0.3, q in increasing order. u, q, -0.3 Let a = 23 + -21. Suppose -21 - 1 = -4*t + 3*r, 3*t + a*r = 8. Sort -1, t, 1/6 in ascending order. -1, 1/6, t Let b = -39 + 28. Let o = -13 - b. Sort 1/2, 2/9, o. o, 2/9, 1/2 Suppose 0 = -2*c + 3*g - 2 + 6, 3*c + 4*g = 23. Suppose -c*w + 2 + 8 = 0. Put -3, w, -6 in increasing order. -6, -3, w Let c(a) be the third derivative of a**5/60 - 5*a**4/24 - 5*a**3/6 + 2*a**2. Let t be c(6). Suppose 0*x - 15 = 3*x. Put t, 5, x in increasing order. x, t, 5 Let n(f) = -f**3 + f**2 - f - 2. Let r be n(0). Sort -5, r, -11, 5 in ascending order. -11, -5, r, 5 Let d(n) = -n**3 + 2*n**2 - n - 2. Let v be d(2). Let z(l) = l**3 - 9*l**2 + 1. Let x be z(9). Sort 0, x, v in descending order. x, 0, v Let q = -29 + 29. Put q, 0.3, 8 in descending order. 8, 0.3, q Let q = 52 - 40. Put -1, q, 2 in increasing order. -1, 2, q Let j be ((-21)/(-2))/(9/(-12)). Let i be (-1)/((-1)/j) - 1. Let u = 77/5 + i. Put -2/17, -3/2, u in decreasing order. u, -2/17, -3/2 Let r = 0.02 - -0.98. Sort r, -0.5, 0.1 in decreasing order. r, 0.1, -0.5 Let a = -409 + 408.9. Let u = 1 - 0.6. Sort u, a, 0.1. a, 0.1, u Let l = -135 + 1349/10. Let o be 1 + (-9)/(-6) - 3. Put o, l, 3 in descending order. 3, l, o Suppose -3*c = -2*z - 5*c + 10, z + 3*c - 11 = 0. Suppose 0 = z*m - 4 - 2. Let f be 0 + 2/2*-2. Put m, -5, f in decreasing order. m, f, -5 Let a = -0.8 + 0.64. Let o = a + 0.06. Put o, 5, 0.6 in descending order. 5, 0.6, o Let y = 6 + -10. Suppose 5*c + 19 = -2*i - 8, 0 = -5*c + 3*i - 22. Put 0, c, y in decreasing order. 0, y, c Let j = -0.09 + 0.06. Let o = j + 0.13. Let y = 1.98 - -0.02. Put o, y, -0.5 in increasing order. -0.5, o, y Let g be 0*2/(4/1). Suppose -4*w + d + 15 = 0, g = -2*w + w - d. Put w, -4, -2 in decreasing order. w, -2, -4 Suppose 3*b + 2 = 2*b. Put 15, 2, b in ascending order. b, 2, 15 Let x = 2 + 3. Suppose -x*n = o - 16 - 14, -3*o = 4*n - 35. Put 1, n, 3 in ascending order. 1, 3, n Let z = -393/310 + 13/10. Put 0, 2/3, 0.3, z in increasing order. 0, z, 0.3, 2/3 Let c = -46 + 47. Sort 3/2, 0.4, c, 10. 0.4, c, 3/2, 10 Let f(u) = u**3 + 3*u**2 - 4*u - 5. Let r be f(-4). Let l = 3 + -5. Sort r, -1, l. r, l, -1 Let i = -2 - -7. Let r = -175 - -168. Sort r, 0, i in decreasing order. i, 0, r Let a(d) = d + 1. Let v(i) = 7*i + 3. Suppose 2*n - 1 + 3 = 0. Let g(s) = n*v(s) + 4*a(s). Let p be g(-1). Put -3, p, 5 in decreasing order. 5, p, -3 Let n = 2 + -1. Let y = 0.042 + 1.958. Let o(a) = -a - 2. Let z be o(-2). Put z, y, n in increasing order. z, n, y Suppose 3*a + 3 = 0, 68 - 5 = -3*f - 3*a. Put f, -5, -1 in increasing order. f, -5, -1 Let i = 11 + -13. Sort i, -3, -1 in ascending order. -3, i, -1 Let r be -5 + (-3 - -6) - (1 - -65). Sort r, -1, -3 in descending order. -1, -3, r Let g = -2 + 5. Let y = g + -3.2. Let x = y + -0.2. Sort x, -3/7, 0.2 in descending order. 0.2, x, -3/7 Let i be (-1)/(-19)*-2*1. Let g = 6.99 - -0.01. Let o = g + -4. Sort 4, i, o. i, o, 4 Let z(i) = -2*i - 5. Let t be z(-5). Let j(d) = d**3 + 6*d**2 + 6*d + 4. Let r be j(-5). Put -5, t, r in descending order. t, r, -5 Suppose -5*k = 3*n + 25, 5*n + 15 + 32 = -3*k. Let b = n - -13. Put -5, b, 5 in descending order. 5, b, -5 Let k be 0 - (4/(-1))/1. Suppose -5*c = -5*s - 10, 0*s = k*s - 3*c + 7. Put s, 0.2, 2 in decreasing order. 2, 0.2, s Let q = 0 + 0. Let l = 2 + q. Put 4, l, 0.3 in increasing order. 0.3, l, 4 Let p(f) be the second derivative of f**3/2 - 9*f**2/2 + 3*f. Let w be p(6). Suppose w = 2*t + t. Sort t, -4,
{ "pile_set_name": "DM Mathematics" }
y be u/(-10) + i + 45/(-6). Let f(d) = -d. What is f(y)? 5 Let z(a) = -49*a**2 + 62*a - 12. Let m(j) = -45*j**2 + 61*j - 12. Let x(u) = 10*m(u) - 9*z(u). Determine x(5). 23 Suppose -2*w - 6*s - 9 = -s, 0 = -w + s - 1. Suppose 2*u + 7*u - 324 = 0. Let a(z) = 2 + 47*z - 17*z - u*z. Give a(w). 14 Let s(z) = -z**2 + z - 8. Let g(k) = -2*k**2 + k - 16. Let h(y) = -6*g(y) + 11*s(y). Let p be h(0). Let c(j) = -3*j + p*j + 9*j. Give c(1). 14 Suppose -4*q - 106*o - 50 = -108*o, 4*q - 3*o + 49 = 0. Let r(a) = -a - 17. Calculate r(q). -4 Let l be ((-18)/(-4) - (-8)/(-2))*14. Let f(k) = -k**3 + 5*k - l*k**2 + 1 + 29*k**2 - 17*k**2. Let j = 14 + -8. What is f(j)? -5 Let h(o) = o**2 - 18*o - 52. Let p(z) = z**3 - 12*z**2 + 17*z - 45. Let y be p(11). Give h(y). 11 Let x(b) = -b + 19. Let w be (-3 - -11)/4 + 8. What is x(w)? 9 Let p(f) = 4*f + 60173 + 0*f - 60109. Calculate p(-10). 24 Let q(f) = 3*f**2 + 2*f - 3. Let c = 627 + -928. Let n = 303 + c. What is q(n)? 13 Let l(h) = -1 - 6*h + 4 + 0 + 8 + 34. Calculate l(7). 3 Let q(u) = -u**2 - 5*u - 11. Let b(m) = 13*m - 5. Let x be b(1). Let z(j) = -3*j - 7. Let i(l) = x*z(l) - 5*q(l). Determine i(1). 5 Let v(x) = 2*x + 6. Let p(d) = 22*d**2 - 3*d - 1. Let k be p(-1). Suppose 0 = s + w - k, -5*s + 5*w - 31 + 131 = 0. Suppose s*l - 26*l - 32 = 0. Calculate v(l). -10 Let t(y) = -5*y + 17. Let p(o) = -3*o + 16. Let k(l) = 3*p(l) - 2*t(l). Let h be (-4)/(-66)*-3 + 2/11. Calculate k(h). 14 Let h(c) be the first derivative of -c**4/4 + 7*c**3/3 - 5*c**2/2 + 3*c - 123. Suppose 0 = -n + 6*n - 30. Give h(n). 9 Let y = -2 + 0. Let v(f) be the first derivative of -f**6/60 - f**5/15 - f**4/12 + 17*f**2/2 - 27. Let h(x) be the second derivative of v(x). Determine h(y). 4 Let c(r) = 4*r + 10. Suppose 19*w + 4*w - 2*w = 189. Determine c(w). 46 Let w(c) = -5*c - 1. Let m = -11730 - -11724. Give w(m). 29 Let o be (-1)/(2/4) + -5 + 3. Let x(q) = -q**3 - 6*q**2 - 13*q - 8. Let f(i) = i. Let s(v) = -2*f(v) - x(v). Let p be s(o). Let g(l) = 3*l - 5. Determine g(p). -17 Let r(s) = s - 3. Let i be r(4). Suppose k - i = -2. Let o(j) be the third derivative of 13*j**4/24 + j**3/6 + 903*j**2. Determine o(k). -12 Let v(c) = -c**2 + 6*c - 1. Let g(p) = -3*p**2 + 14*p - 12. Let i(d) = 3*d**2 - 16*d + 13. Let f(r) = -4*g(r) - 5*i(r). Let q be f(7). Give v(q). 7 Suppose 15 + 5 = 2*s. Let f(o) be the third derivative of o**4/24 - o**3/3 - 109157*o**2. What is f(s)? 8 Suppose 3*h - 11*w = -12*w + 6, 2*h + 10 = 4*w. Let i(m) be the second derivative of -7*m**5/20 + m**4/12 + m**3/6 - m**2/2 + 14*m. What is i(h)? -6 Let w(c) = c + 1. Suppose -22*f - 5*u + 45 = -27*f, -2*f - 23 = -3*u. Calculate w(f). -3 Let v = 48 - -54. Let f = v - 99. Let l(n) = 1 + 3*n + 4 - f. Determine l(-2). -4 Let f(q) = 4*q**3 - q + 0*q**3 + 2*q**2 - 5*q**3 + 1. Suppose 5*i = -h + 10, -455*h + 20 = -5*i - 462*h. What is f(i)? -11 Suppose -21 = 166*s - 173*s. Let b(k) = k**3 - 5*k**2 - k + 6. Give b(s). -15 Let k(v) = 5*v**2 + 5*v - 3*v + 3 + v**3 + 4 + 2. Let o be 2*((-22)/4 - -3). Calculate k(o). -1 Let b(f) be the third derivative of 13*f**4/8 + 7*f**3/6 - 36*f**2 - 86. Determine b(-2). -71 Suppose 0 = 4*c - 1362 + 1374. Let s(x) = -22*x**2 + 19*x. Let m(f) = -10*f**2 + 9*f. Let r(w) = 13*m(w) - 6*s(w). Calculate r(c). 9 Let l(x) = x**3 + 13*x**2 + 12*x - 11. Suppose r - 23*s = -104, -4*s + 2*s = -3*r - 44. Give l(r). -11 Let j(x) = -2*x**3 + 4*x**2 - x - 2. Suppose -2*z + 1 = 3*k, 2*z - k + 3 - 8 = 0. What is j(z)? -4 Let d(k) = 2*k**2 - 7*k - 15. Suppose 2*t = 2*p - 8, 6*p - 7*p = -5*t. Determine d(p). 0 Suppose -3*h + 5 = -1. Let o(m) = 41*m**2 - 60*m - 203. Let x(z) = -15*z**2 + 22*z + 74. Let f(s) = -4*o(s) - 11*x(s). Give f(h). -2 Let i(q) = -10*q**2 + 12*q - 54 + 8*q**2 + 3*q**2 - 77. Let t be i(7). Let y(s) = -3*s**2 + 4*s - 2. Calculate y(t). -6 Let z(b) = -3*b - 1. Suppose 0 = 2*q - 2, t + 3 = -q - 0*q. Let h be (-5 - t) + (-2 - -3 - 43). Let u = h + 46. Determine z(u). -10 Let j(q) be the third derivative of q**6/120 + q**5/10 - 5*q**4/24 - 5*q**3/3 + 234*q**2. Give j(-7). -24 Let f(o) = o - 7. Let w be (-4)/(-6) - (-3388)/(-231). Determine f(w). -21 Let m(v) be the first derivative of -v**3/3 + 3*v**2 - 15*v + 290. What is m(9)? -42 Let f be 3 - 4 - 2 - 1. Let c(p) be the first derivative of -p**4/4 - p**3 + 3*p**2 + 6*p - 109. Give c(f). -2 Let f(k) = 541*k - 1085*k + 2*k**2 + 561*k + 12. Determine f(-13). 129 Suppose -82*q + 78*q = -372. Let a(h) = 188*h - q*h - 96*h - 9. Calculate a(-7). -2 Let n(t) = -25*t + 920 + 864 - t**2 - 1731. Determine n(-27). -1 Let q(j) = 2*j**2 - 10*j - 10. Suppose -5*h - 22*h = -108. Suppose -3*i = h*p - 15 - 9, 3*p = 0. What is q(i)? 38 Let a(m) = 5*m - 6. Let b(g) = 2. Let p(d) = a(d) + 2*b(d). Determine p(1). 3 Suppose 4*o - 32 = 4*m, o + 28 = -5*m + 2*o. Let b = -18 + 30. Let x be b/(-15)*-1 - m/25. Let u(r) = 4*r**2 - r. Give u(x). 3 Let h(m) = -13*m**2 + 5*m + 2. Let l be ((87/6)/29)/((-1)/6). Suppose 17 = -5*f - 3. Let v(o) = 14*o**2 - 6*o - 3. Let t(b) = f*h(b) + l*v(b). Give t(1). 9 Let j(x) = -9*x + 30. Let u be j(5). Let b = u - -23. Let m(i) = -i**3 + 3*i**2 - 11*i**2 + 5*i**2 + 3 - i**2 + b*i. Give m(-5). -12 Let j(l) = l**3 + 11*l**2 - l + 3. Let f = 3726 - 3737. Calculate j(f). 14 Suppose 0 = -85*v + 103*v + 55*v + 365. Let f(k) = k**3 + 10*k**2 - 3*k - 14. Give f(v). 126 Suppose 0*j + 10 = j. Let v(r) = -r**2 + 6 - 1571142*r + 1571151*r + 6. Give v(j). 2 Let p(v) = -14*v**2 + 4*v - 4. Suppose -43*w - 12*w + 146 = 18*w. What is p(w)? -52 Let h(f) = -3*f**2 - 9*f + 34. Let x(s) = 7*s**2 + 14*s - 68. Let w(d) = 5*h(d) + 2*x(d). Determine w(2). -4 Let x(o) be the third derivative of o**4/3 + 5*o**3/3 - 19*o**2. Let c be x(-7). Let v = -44 - c. Let z(p) = -p + 1. Determine z(v). -1 Let i(l) = -6 - 14 + 8*l - 53 + 63. What is i(0)? -10 Suppose 2*m - 10 = 2. Let a(k) = m*k + k**2 + 8*k + 5 - 6*k + k. What is a(-7)? -9 Let m = -902 - -1063. Let h = -165 + m. Let a(s) = 2*s + 8. Determine a(h). 0 Let u(n) = -3*n**2 + n - 2. Let m(f) = -f**3 + 5*f**2 - 7*f + 18. Let a be m(4). Let d(b) = -4*b**2 + b - 2. Let x(l) = a*u(l) - 5*d(l). What is x(-2)? 4 Let o be 8/(-2)*(-9)/(-12). Suppose -31 = -i - 28. Let l(r) = -4*r - 8*r**2 - 3*r**i - 3 + 4*r**3 - 2*r**2 + 14*r**2. What is l(o)? 18 Let a(c) be the third derivative of 1/6*c**3 + 0 + 0*c + 1/24*c**4 - 1/30*c**5 + 1/120*c**6 + 29*c**2. Let i be a(2). Let o(v) = -v + 4. What is o(i)? 1 Suppose -2*t + 21 = j, -j = t + 3*j. Let u(x) = x - 2*x + t + 0*x - 2. What is u(12)? -2 Let o(s) be the second derivative of -s**3/6 + 6*s**2 - 5*s. Let t = -2240 - -2246. Calculate o(t). 6 Let c(j) be the second derivative of -j**4/6 - 11*j**3/6 + 10*j**2 - 76*j. Let f be c(-7). Let u(s) = -13*s**3 + s**2 - 1. Determine u(f). 13 Let n(x) be the first derivative of x**4/4 + 32*x**3/3 + 59*x**2/2 - 25*x - 142. Let k be n(-30). Let a(v) = v**3 - 5*v**2 + v - 1. Give a(k). 4 Suppose -4*c - 9*c = 65. Let s(k) be the second derivative of 0 + 5/6*k**3 + 7/2*k**2 + 15*k. Give s(c). -18 Let n be (-2)/10 + 102/(-15). Let m(p) be the third derivative of p**6/120 + 2*p**5/15 + p**4/3 + 6*p**2 - 4*p - 190. Calculate m(n). -7 Let g(f) = -26*f**2 - 63*f + 88. Let q(m) = -7*m**2 - 16*m + 23. Let k(u) = -6*g(u) + 23*q(u). Calculate k(2). 1 Let f(l) = -6*l**2 - l**3 - 2*l + 0*l + 9567 - 9558. Let k = 58 - 63. Calculate f(k). -6 Let z(q) be the second derivative of q**4/3 - q**3/3 + 5*q**2/2 + 468*q. Calculate z(4). 61 Let a(d) = -d**2 - 12*d + 51. Let h be a(-15). Let g(m) = 0*m**3 + 7*m**3 + 0*m**3 + 13 - h*m**3 + 9*m**2 + 2*m. Give g(-9). -5 Let x(q) = 9*q**2. Let l(b) = -2*b**3 - 7*b**2 - 6*b - 10. Let p be l(-5). Let h = -80 + p. Suppose -4*f = -i - h, -6*f + 18 = -2*i - f. What is x(i)? 9 Let l(o) be the third derivative of 1/6*o**3 + 0 - 11*o**2 + 1/24*o**4 + 0*o. Suppose -27 + 7 = 4*b. Determine l(b). -4 Let y(a) = a**2 + 2. Let g(x) = 4*x**2 - 21*x + 34. Let v(c) = g(c) - 2*y(c). Let r(n) = -n**2 + 11*n - 16. Let l(o) = 5*r(o) + 3*v(o). What is l(4)? -6 Let k(m) = 7 + 3 - 44 - 2*m - 21. Let p be k(-31). Let i(l) = l**3 - 8*l**2 + 6*l - 4. Determine i(p). -11 Let x(w) = w**3 + 5*w**2 - 2. Suppose -35*p - 867 - 161 = 222*p. Give x(p). 14 Let z(k) be the second derivative of 5/6*k**3 - 3/2*k**2 - 1/
{ "pile_set_name": "DM Mathematics" }
? 3 Suppose -5*z - 24 = -4*y + 59, 4*y = 2*z + 38. Is z less than -15? False Let h be (-8)/36 - 10265/(-63). Let j = h - 163. Let z(u) = u**2 + 2*u - 1. Let y be z(-2). Which is smaller: y or j? y Let d(u) = -4*u**3 + u. Let h be d(1). Let l = 10/3 - 5. Which is greater: h or l? l Suppose -3*m + 11 = 5. Is -8 bigger than m? False Let s be 3 + ((-63)/2)/9. Which is bigger: s or -2? s Suppose 3*b + 48 = 3*h, -2*b - 20 = -h - 0*b. Which is smaller: h or 11? 11 Suppose -a = -0*a. Suppose -d - 1 = -a*d. Let t = -2 - -3. Which is smaller: d or t? d Let p(o) = -o - 5. Suppose 3*b = -a - 8, 4*a - 4*b = -0*a - 16. Let c be p(a). Which is smaller: -1/10 or c? -1/10 Let g = -32 - -37. Which is smaller: 6 or g? g Suppose 3*b - 4*d = -b + 56, -5*d = b + 16. Suppose -b*t + 7*t = 0. Is t <= 1/15? True Suppose -3*v - 7 + 4 = 0. Let q be (v + 6)*(-4)/(-10). Is q less than 2? False Let z = 92.84 + -93. Which is smaller: z or -0.2? -0.2 Suppose -2*x + 6 = -10. Let a be (-1 - x)*1*-5. Let i = a - 133/3. Which is smaller: i or 1/2? 1/2 Let z be 0 - (0/2 + -1). Let m = -3 + 5. Let h be (8/(-36))/(m/2). Is h greater than or equal to z? False Suppose -4*f - 4*b = -288, 3*f - 221 = 5*b - 45. Which is greater: f or 66? f Let z = 18 + -22. Is -6 less than or equal to z? True Let b = -1 + 1.03. Let a = 0.97 + b. Which is smaller: a or 2/9? 2/9 Let y = 10 + -10. Do y and 1/3 have the same value? False Let i = 21.9 - 22. Let h = 5 - 7. Is i greater than h? True Suppose -4*u = -2*y + 16, y - 3 = 4*u - 3*u. Let h be 0 + y - (0 - 8). Let m be (-5)/6 - (-2)/h. Is -2/13 smaller than m? False Let s = 280/9 + -31. Let y(f) = f**2 + 6*f + 1. Let v be y(-6). Which is greater: s or v? v Let c = -10.3 + 10.47. Which is bigger: c or 0.1? c Suppose -2*d = 4*w - 16, 2*w = 3*d + d - 12. Let z(t) = -2*t. Let m be z(d). Let s = m + 5. Which is smaller: -5/2 or s? s Suppose n = 6*n + 180. Let d be (-9)/(n/(-8)) - -2. Do 0 and d have the same value? True Let v = -700/1243 + 2/113. Which is bigger: 0.1 or v? 0.1 Let y = -3 + 4. Let w = -6 + 4. Let i = 2 + w. Does y = i? False Suppose -v - 2*v = -3. Suppose 5*s = -0*x + 3*x - 177, 3*x = s + 33. Let j be 11/(-9) + (-8)/s. Are j and v nonequal? True Let f(d) = -d**3 + d**2 + d + 1. Let k be f(-2). Suppose -4*l + 111 - k = 0. Let u be l/(-9) + 3 + 0. Which is bigger: u or 0? u Let s(n) = -2*n + 18. Let k(q) = q - 9. Let j(t) = 11*k(t) + 6*s(t). Let o be j(9). Which is greater: o or -2? o Let f(w) = -w**2 + 9*w - 5. Let r be f(8). Suppose 0 = -r*d - 2*h - h - 12, -4*d - 12 = 3*h. Is 0.19 greater than or equal to d? True Let t(g) = -g**2 - 2*g - 2 - g + 0. Let u be t(-4). Is -4 at most u? False Suppose -5*s = -y + 30, -4*y + 2*y + 30 = -4*s. Let o = s - -8. Suppose -o*j + 4*j = -3. Is -1/4 greater than j? True Let l be 2/4*(-3 + 3). Is l at most as big as -1/8? False Let t = 31/133 - -1/19. Which is greater: -0.3 or t? t Let c(t) = -t**3 - 11*t**2 + t + 10. Let o be c(-11). Let u = -0.03 - -0.07. Let w = u + -0.14. Is o >= w? False Let g(s) = -s**3 - 36*s**2 + 38*s + 29. Let v be g(-37). Let o = -17 + 9. Is v at least as big as o? True Let u = -245 + 1718/7. Suppose -m + 13 = -2*k - k, -6 = -2*m - 4*k. Let n = 7 - m. Is n <= u? True Let w be 5 - (-1 + 2)/(-1). Let l(f) = 2*f + 10. Let o be l(-13). Let a be 1/3*(-1 - o). Is a at most as big as w? True Let v = 1505/11 - 137. Let l = 0.09 + -0.09. Which is greater: l or v? l Suppose 0 = -3*k + 51 - 57. Which is smaller: k or 5? k Let z = 2.95 - -0.05. Let n = z - 3.4. Are -1 and n non-equal? True Let n = 16 + -11. Let g(u) = -u**2 + u - 7. Let p be g(0). Let q = p + n. Which is smaller: q or -3/2? q Let j = -123 + 128. Let t = 0.2 + 0.2. Which is greater: t or j? j Let l(y) = -2*y - 1. Let n be l(2). Let q be 2/n + (-2)/(-5). Suppose -9*r + 12 = -13*r. Which is smaller: q or r? r Let s(y) = y**2 - 6*y + 5. Let a be s(5). Let v be 1/((-1)/11) + -1. Let p be v/96*3*-1. Which is greater: p or a? p Let v = -305/91 + 24/7. Suppose l + 3 = 0, 4*l = 2*t - 3*t - 12. Do t and v have the same value? False Suppose 6 = 85*r - 88*r. Let a(k) = k - 4. Let s be a(3). Do s and r have the same value? False Let f = -3469/21 - -165. Let u = -1/7 + f. Let s = -0.5 + 0.8. Which is bigger: u or s? s Let l = 24/187 + -2/187. Suppose -t + j = -6*t, t + 3*j = 0. Is t at most as big as l? True Suppose 18 = -t - t + 4*g, t + 2*g = 7. Which is smaller: t or 2/91? t Let x be ((-5)/5)/(2/(-76)). Does 37 = x? False Suppose 5*o = -4*x - 19, -3*o - 10 = 3*x - 2*x. Which is smaller: x or -2/11? x Let h = 13 - 92/7. Suppose -j - 1 + 6 = 0. Suppose -7*d + 5*d = -4*x - 8, -j*x - 10 = 2*d. Which is bigger: h or d? d Let d = -893/84 + -34/21. Is -13 at most as big as d? True Let r = 19 - 19. Which is greater: -2/7 or r? r Let d = -3/43 - -55/172. Let y = -4 + 6. Is d equal to y? False Let l = -1 - -0.8. Let p = 0.23 + l. Let z(m) = 2*m - 3. Let g be z(1). Which is smaller: p or g? g Let i = 62 - 32. Is 30 at most i? True Suppose 63 + 57 = -2*h. Let v be ((-8)/h)/(2/(-3)). Is 1 != v? True Let a(c) = -c**3 + 5*c**2 + c - 4. Let d be a(5). Let l = 191 - 2103/11. Is d greater than l? True Suppose -8 = -7*j + 3*j. Suppose 0 = j*y + 2. Let o be y/1*(-3)/(-9). Is o less than 2? True Let n(h) = -h**3 + h**2 - h - 3. Let t be n(-2). Is 11 greater than t? False Let b be -3*(-3 + 21/9). Suppose 5*j - 10 = a + b*a, -4*j + 3*a + 11 = 0. Is j at most as big as 1? True Suppose 4 = 4*f - 0*f. Let g be (-5)/(825/(-333)) + -2. Let n = g - -51/220. Do n and f have different values? True Suppose 0 = -k + 57 + 49. Let s = 361164289/3402930 + 1/226862. Let m = k - s. Which is bigger: m or -1? m Let i = 2 + -12. Let h be (-4)/i - 5/5. Which is smaller: h or -1? -1 Let o(u) = 2*u. Let m be 14 + 0 - (6 + -4). Let l be 1/4 + m/16. Let c be o(l). Which is smaller: 0.2 or c? 0.2 Suppose 2*o - 6*o - 53 = -n, 0 = 3*n - 4*o - 151. Let h = n - 25. Which is bigger: 25 or h? 25 Let h = -8.3 - -8.2. Is h smaller than -11? False Suppose 0 = -2*n + 3*v + 23, 5*v = n + 3 - 4. Are 17 and n unequal? True Let m(y) be the third derivative of -y**4/24 + y**3/6 - 3*y**2. Let r be m(4). Which is smaller: -2 or r? r Let d = -20 + 58/3. Let b(z) = -z**3 - z. Let o be b(-1). Suppose 1 = -o*s + s. Which is smaller: d or s? s Let b be (-1216)/(-96) + 4/3 + -1. Is 8 less than b? True Let q = 0.07 + -0.03. Let f = 0.96 + q. Let m = -0.1 + 0.1. Is m greater than f? False Let z = -10/3 - -8/3. Let f = -10 + 6. Let g = f + 3.8. Is g at least as big as z? True Let z(t) = 2*t**3 + t**2 - 2*t + 8. Let o be z(0). Let h(j) = 8*j**2 + 1 - 4*j**3 + j + 3*j**3 - 9. Let i be h(o). Which is bigger: i or 1/4? 1/4 Suppose 0 = -3*r + 1 + 8. Let m(u) = -u + r*u - 5 - 3*u. Let z be m(-5). Is 0 smaller than z? False Let l = 3 + 20. Suppose 3*s = -5*j - l, 2*j = -0*s + 2*s - 6. Let g be 2*1/(-2 + 0). Is s bigger than g? False Let v be 6/(-14) + (-10)/(-7). Are 2/39 and v nonequal? True Suppose 3*u + 21 = 84. Is 23 bigger than u? True Suppose 4*l + 26 = 6*h - 3*h, 31 = 3*h - 5*l. Let w = -2558 + 370912/145. Let f = 713/870 + w. Which is smaller: h or f? f Suppose 5*z = -6 + 1. Is z less than -3? False Let s(j) = -j**2 + 5*j + 3. Let t be s(9). Which is smaller: -65/2 or t? t Suppose -d = 80 - 79. Let c = 4 + -3. Does d = c? False Let r = -9.11 - -9. Let g = r - -0.21. Which is smaller: 4 or g? g Let r(g) = 4*g. Let d be r(0). Is d > -14? True Let b be (1 - 0)/(19 - 18). Is 6 != b? True Let x be (-5)/(-30)*3/((-9)/(-6)). Is -14 < x? True Let i(j) = -j**3 + j**2 + 4*j + 3. Let l be i(-2). Let z = 7 - l. Is -3/7 greater than or equal to z? False Let f(q) = -q**3 + q**2 + 1. Let y be f(2). Suppose 0 = 4*l + 1 + 3. Is l less than or equal to y? False Let g(w) = w**3 + 3*w**2 - 4*w - 2. Let l be g(-4). Let h = -4 + 5. Let b = h + l. Which is greater: b or -1/2? -1/2 Suppose -13*s + 4*s = 27. Which is bigger: 0 or s? 0 Suppose -4*m - 2*n = 0, 0 = -5*m - 5*n + 5 + 5. Is m at most -1/2? True Let k = 34/33 + -218/297. Is k < -1? False Suppose 0 = -5*u + t + 55, 4*u - 30 = -4*t + 14. Let p = -13 + u. Is -3 != p? True Let u = 0.21 - 0.23. Is -2/9 equal to u? False Let i(n) be the third derivative of n**4/24 + 7*n**3/6 - 3*n**2. Let f be i(-8). Are f and 2/7 equal? False Let i(x) = x + 8. Let s be i(-9). Which is great
{ "pile_set_name": "DM Mathematics" }
ssuming n is positive. n**(1450/21) Simplify ((((c**3*c)/c)/c*c*c**(-2/7))/((c**(-38)*c)/(c/c**(-9))))**(11/2) assuming c is positive. c**(1914/7) Simplify (((l**4)**(10/11)*(l*l*l**(-13))/l**7)**(-17))**(-10/13) assuming l is positive. l**(-26860/143) Simplify ((i**(-2)*i/(i**(1/10)*i)*i)/(i**(-2/7)/i**1))/((i*i/(i/(i**(-2/3)/i)))**29)**(3/37) assuming i is positive. i**(4541/2590) Simplify (a*a**(-1/4)*a*a*a*a*a/(a**(-3/2)*a)*a*(a**0*a)/a*a/a**(2/5))/((a**(-1/3))**(-9/2)*(a**7/a)/((a*a/(a**(6/5)*a))/a*a)) assuming a is positive. a**(3/20) Simplify ((((o/o**(-1/8)*o)/o)/o*o**(1/8))/(o/o**(1/39)*o*o**0))**0 assuming o is positive. 1 Simplify (s*s/s**(-1/4))**(-18/13)*(s*s**1)**28*(s**(5/3)*s**(-1))/(s**(1/5)*(s/(s*s**4)*s)/s) assuming s is positive. s**(22367/390) Simplify ((z*z/z**(-2/3))**(-3/26)*z**(1/6)*z**(-6))/((z**1)**45)**(-35) assuming z is positive. z**(122371/78) Simplify ((d*d/(d/(d/(d*d**(-2/11))*d)))/d**(-3/8))/(d**(-2)*d/d**(2/15))*(d**(-1/8)/d*d)/(d*(d*d**(-5))/d)*(d**(-2/3)*d*d)**(-4/11) assuming d is positive. d**(4673/660) Simplify ((u/u**5)/(u*u/(u*u**(-1))*u))**23/((u**0/u)**(3/28)*(u*u**(-2/5))**31) assuming u is positive. u**(-25129/140) Simplify (p/(p*(p/(p*p/((p**(-2/15)/p)/p)*p*p)*p)/p*p)*p*p**(3/4))**50*(p*p*p*p**(-2/5)*p*p**(2/5))**(1/5) assuming p is positive. p**(8849/30) Simplify ((n/(n/n**(-4/7))*n**11)/((n**(-5/12)/n)/n**0))**(-2/21) assuming n is positive. n**(-995/882) Simplify ((x/(((x*x*x/((x**(-2/7)*x)/x))/x)/x))**(-2/19))**(4/13)*(x*x/(x/(x/x**(-3/4)))*x*x*x**(3/5))/(x*x*x*x*x**0*x*x)**33 assuming x is positive. x**(-6661517/34580) Simplify (((x**(-1/2)*x)**(-6/5)/((x*(x/x**(-3))/x)/(x*((x**(-1/3)/x)/x)/x)))**(-1/18))**(-7/2) assuming x is positive. x**(-182/135) Simplify ((x**(-4)/x)/x**(1/11))/(x**1)**46*x**0*x**(2/5)*((x**(1/3)*x*x)/x)**(17/3) assuming x is positive. x**(-21352/495) Simplify (x**(-1))**19*(x/(x**(1/6)/x)*x*x*x)/x**8*((x/x**8*x)/(x*x/(x*x*x**(-2))))**(-25/2) assuming x is positive. x**(467/6) Simplify ((y**0*y)**23)**(-1/9)/(y**5*y*y**(2/13))**(-42) assuming y is positive. y**(29941/117) Simplify ((((x**(-4)/x)/x*x**(3/8))**(-49))**(-14))**(3/31) assuming x is positive. x**(-46305/124) Simplify ((g*g/g**(-1/3)*g*g)**16)**(-17)*((g*g**(2/9)/g)/g)/(g/g**(-1/5))*(g**1)**(-31/4) assuming g is positive. g**(-213911/180) Simplify (s*s**(1/3)*s)/(s/(s/s**5)*s*s*s)*s*(s/((s*s**8/s)/s))/s*s**(-3/4)*(((s**2*s*s)/s)/(s/s**10))**(-45) assuming s is positive. s**(-6629/12) Simplify ((p*p**2)**(-2/13)/(p/p**(4/3))**(-9))**(-37) assuming p is positive. p**(1665/13) Simplify ((((i*i/i**(-9))/i)/i)**(-9/11)/(i**(-2/109)/(i/(i**5*i*i*i))))**(30/11) assuming i is positive. i**(-516000/13189) Simplify (i**1*i/i**(-3))**27/(i**(2/3)/((i*(i/i**(3/4))/i)/i))**(3/7) assuming i is positive. i**(3763/28) Simplify (((a*a**(-1/5))**(-22)*(a/((a*(a**(-3)*a)/a)/a))/((a/(a*(a**(2/9)/a)/a))/a))**(1/72))**(2/59) assuming a is positive. a**(-647/95580) Simplify ((x**(-10)*x)**(-34)*x**10*x**(-1/12)/x)**7 assuming x is positive. x**(26453/12) Simplify (g**(-7)*g/(g/(g*((g**(5/4)/g)/g)/g))*g*g**(-25)*g**(-22))**34 assuming g is positive. g**(-3655/2) Simplify b**(-3/5)/b**4*b*b**(-6)*b/(b**(-2/19)*b*b)*(b**(-1))**(-7/2)/((b/b**(3/11))/b**(-5)) assuming b is positive. b**(-26589/2090) Simplify ((((m*m**1)/m)/(m/(m**1/m)))/((m*m/(m*m**0))/(m**(-3/5)*m)))/(m**(-1/7)*m**(-4))**(1/79) assuming m is positive. m**(-1514/2765) Simplify ((((m/(m*(m/(m/(m/(m*m**2))))/m))/m)/m**(1/13))/(m**(2/5))**(-1))**(-44) assuming m is positive. m**(-6644/65) Simplify (((j/(j*j**(1/4)))/(j**4/j))/((j**(-4)/j)/(j/j**(-1/3))))/((j/(j**0*j))**(5/9))**(-35) assuming j is positive. j**(37/12) Simplify (x**3*x/(x*x**(-1/4)*x*x*x)*x)**6/((x*x**(-1/4))**(-2/29))**(-1/47) assuming x is positive. x**(10221/1363) Simplify (z**(-8)*z*z**(1/4))**19/(z**0*z**(-5)*((z**(-4/3)/z)/z)/z**(1/2)) assuming z is positive. z**(-1433/12) Simplify (c**(2/17)*c**(-2/3)/c*c*(c/(c*c**1/c))**(-31))**(-37) assuming c is positive. c**(1036/51) Simplify ((((p*p**(-6))/p**(-32))**(-44))**34)**(-17) assuming p is positive. p**686664 Simplify j**(-3)/(j/j**2*j)*j**(1/11)*((j*j/(j**(2/7)*j))/j)/j*((j**(2/5)/j)/j)**(-20)*(j**(4/3)*j)/(j/j**(1/7)) assuming j is positive. j**(6764/231) Simplify ((((j/(j*j/(j*j/((j/j**(-2/5))/j*j)))*j)/(j/j**(2/21)))**17)**(17/7))**14 assuming j is positive. j**(-18496/105) Simplify ((g**(5/3)/g)**(-3/17)/(((g*(g/g**(2/5))/g)/g)/(g*(g**17*g*g)/g*g)))**(-24) assuming g is positive. g**(-41376/85) Simplify ((w**(-1/4))**(6/17)/(w*w*w**(-1/6)*w*w*w**1))/((w**1*w)**(1/8)/(((w/(w*w/(w**6*w)))/w*w)/((w*(w/w**3)/w)/w))) assuming w is positive. w**(781/204) Simplify ((a**(2/7)*a*a*a/(a/a**(2/3)))/(a**(-2/3)/a)**(-33))/((a**3/a*a**(-5)/a*a)/(a**1)**(-2/7)) assuming a is positive. a**(-148/3) Simplify (f/(f/f**(-2/9))*f)**(-16)/(((f*f*f**8)/f)/(f/f**(-3)*f))*((f**5*f)**47)**(3/7) assuming f is positive. f**(6578/63) Simplify (((v**(2/5)*v)/v)/(v/(v*v**0*v)))**24*(v**2/v)**(-30)/((v/(v/(v*v**5)))/v*v*v*v**1*v*v) assuming v is positive. v**(-32/5) Simplify (i**6*(i**(-7)*i)/i)**(1/56)*((i*((((i/i**2)/i)/i)/i)/i)**(-40))**(-15) assuming i is positive. i**(-134401/56) Simplify ((c/(((c/(c*c/(c*c**0)))/c)/c))/c)**9*((c**(-1)*c*c)/c)**(-4/35)*(c**(-2/9)*c/c**(-1/3))/(c**6*c*c**(-1/6)) assuming c is positive. c**(221/18) Simplify ((((n**10/n)**20)**(2/9))**(-1/5))**(-43) assuming n is positive. n**344 Simplify (w/w**(-18))/w**(12/5)*(w*w*w**(-3))**(1/11) assuming w is positive. w**(908/55) Simplify ((k/k**(-2))**(-31))**28/(k/(k**(-1/4)*k)*k**(-5)*(k*k**0/k)**(2/63)) assuming k is positive. k**(-10397/4) Simplify ((n**0*n)/n)**(-13/4)*(n**(-1))**(-16)*(n**(2/5))**(-4)*n**(-2/9)/(n/((n/(n**(-3/2)*n))/n)) assuming n is positive. n**(1231/90) Simplify ((y**(-2/3))**(-11)*(y**(2/5)/y)/y**4)/(y**(-1/18)*y/(y**(-6/7)/y))**(-28/9) assuming y is positive. y**(4637/405) Simplify (y**1/y**2)/(y**(-6/5)/(y*y*y/(y/(y/(((y/y**(1/8))/y)/y)*y)*y)))*((y*(y**(2/17)*y)/y)/(y**1/y))/((y/y**(-1/2))/y**(-1/5)) assuming y is positive. y**(509/136) Simplify ((r**(-14)*r)**(-3/7)/(r**(-47)/r*r/(r/r**(-17))))**(-1/6) assuming r is positive. r**(-247/21) Simplify (l*l**(1/3)*l*l**(-1))**(-15/8)/((l/(l*l/(l*l**(1/4)*l*l)*l*l)*l)**(-2/29)*(l**(-1/2))**(2/33)) assuming l is positive. l**(-2281/957) Simplify ((g**(-2/21)/g**1*(g/g**(-2/7))/g*g*g*g*g/g**(-1/3)*g)**(-45))**(-23) assuming g is positive. g**(32775/7) Simplify ((g*g*g*g**(-13)/g*g*g*g**(-3/11))/(g*g**(2/49)*g*g**(-6/13)))**(25/2) assuming g is positive. g**(-950500/7007) Simplify (((v**(-2/7)/v)/v**(4/3))/(v*v**(2/3)*v)**(-1/15))/(v**1*v/(v*v/v**(1/14)))**(-11/7) assuming v is positive. v**(-10271/4410) Simplify (((x*x**(-1)/x)/x*x)/x**5*(x*(x**(1/2)/x)/x)/x**(-2/5))/((x/(x/(x/x**(-2))))/(x*x*x**1)*(x**1/x)**28) assuming x is positive. x**(-61/10) Simplify ((k/(k/k**0*k*k*k)*k)**15)**(1/16)/(k**1*k*k**9/k)**(-2) assuming k is positive. k**(145/8) Simplify ((l**(1/54)*l*(l*(l/(l/(l/((l/l**3*l)/l))))/l)/l)/(l**34*(l**(-7)/l)/l))**23 assuming l is positive. l**(-27301/54) Simplify ((i*i*i**(-2/5)*i)**(-26)/(i/(i/(i**(1/39)/i)*i)*i**(2/25)))**(-44) assuming i is positive. i**(2818772/975) Simplify (((r*r**(-1/2)/r)**(1/23)*(r**(4/5))**(-4/3))**(-2/33))**(11/3) assuming r is positive. r**(751/3105) Simplify (k**(-3/4)*k**(-1/2)*k)/(k**(-4)/(k*k*k**3))*(k/k**(5/2)*k**(2/3))/(k**(-1/2)*k/((k/k**(-5))/k)*k) assuming k is positive. k**(137/12) Simplify ((k/(k/(k*(k/(k*k/(k**(-22)/k)))/k*k))*k)/k**(3/32))/(((k*k**(12/5)*k)/k)/k)**(-12) assuming k is positive. k**(1073/160) Simplify ((b**(2/19)*b**(2/23))/(b**8/(b/(b**(-11)*b))))**(-26/3) assuming b is positive. b**(-12090/437) Simplify (i**(-14))**(-2/13)*(i**(-14/9)/i)**(2/21) assuming i is positive. i**(4694/2457) Simplify (m**(-1/3)/m**4)**2/((m**(-1/2))**3)**(5/11) assuming m is positive. m**(-527/66) Simplify ((s**(-2/7)*s/(s**(-1)/s))/(s**0)**(3/11))/((s*s**(-1)*s*s)**37*s*s**(5/4)*s**(4/7)) assuming s is positive. s**(-2075/28) Simplify (((j/(j/(j/((j/(j**(-6/19)/j)*j)/j*j*j))))/j*j*(j**(-2/21)/j*j)/j*j)/(j/(j/(j/j**(-2/5)))*j**30/j))**(9/5) assuming j is positive. j**(-202359/3325) Simplify (j**(-6/5)*j**(1/9))**(-1)/((j*j/(j*j*(j*j**(-1/5))/j*j*j)*j**(-3))/(j**(-1))**(-9)) assumin
{ "pile_set_name": "DM Mathematics" }
, -4*x + 3*x + 12 = 4*c. Which is greater: c or 1/2? c Let s(a) = -2*a**3 - 2*a**2 + a + 2. Let d be s(2). Which is smaller: -19 or d? d Suppose 2*i + t = 5, -4*i + 0*t + 14 = -2*t. Suppose 0*s = s + 4*g - 10, -4*s = -i*g + 36. Which is smaller: s or -5? s Let t = 66 - 463/7. Let c(i) = i**3 - 2*i**2 - 2*i - 4. Let j be c(3). Which is smaller: j or t? j Let v = 34 + -43. Which is smaller: 0.4 or v? v Let y = -15 - -9. Let b = -5 - y. Which is smaller: b or -1/2? -1/2 Suppose -3*c = 4*a - 5*c - 230, 190 = 3*a - 5*c. Let q = a + 14. Let w = 482/7 - q. Is -1 >= w? False Let u = -11712580 - -85900060233/7334. Let g = u - 3/386. Let l = g - -5/114. Is 0 < l? False Let o = 9 - 33. Let r be 18/10 + o/30. Which is smaller: 2 or r? r Let k = 4 + -4. Let w be ((-10)/8)/1 - -1. Are w and k nonequal? True Let p = 28 - 22. Does p = 5? False Suppose -9 = -4*q - 1. Suppose q = i - 0. Suppose 4*l = -4*n + 10 + 14, 2*n = l + 3. Which is smaller: i or n? i Suppose -6*p = -p. Is 2/73 less than or equal to p? False Let g(l) = l**3 - 2*l. Let h be g(2). Suppose 13 = h*w - 7. Which is smaller: 4 or w? 4 Suppose b = -5*t - 21, 4*b = 2*t + 5 - 1. Which is smaller: b or -3/5? b Let c(o) = -o**3 - 3*o**2 + 4*o - 5. Let i be c(-4). Which is bigger: 0 or i? 0 Let f be 2*(28 + -1)*2/(-4). Is f less than or equal to -28? False Let d be (5/20)/(333/4). Let v = 3665/666 - d. Let p = v - 6. Is p > -1? True Let q(t) = t**3 - 4*t**2 - 5*t - 3. Let v be q(5). Let h = -10 + 12. Do v and h have the same value? False Suppose 10 = -4*m - 3*q + 3, -4*m - 13 = q. Let u be (-16)/(-90) + m/10. Let i be (-1)/(-4) - (-1)/(-4). Is i <= u? False Suppose 4*y = 3*y. Suppose y*f + 1 = -f. Which is smaller: 2/9 or f? f Let k = 2 - -3. Suppose -6 = -4*q + f + 9, k = 5*f. Is 3 < q? True Let c = 447 - 3571/8. Let o be -1 - ((-3)/1)/1. Which is greater: c or o? o Let b = 0.4 - -15.6. Which is smaller: 1 or b? 1 Let p = 4 - 3. Let h = -470 + 480. Which is smaller: h or p? p Let k = -3.97 - -4. Are k and 1 non-equal? True Suppose o - 4 = 0, 6*f = 2*f + 4*o - 12. Let i be 11/7*1 - f. Which is smaller: i or 1? i Let p = -33/91 + 2/7. Let z(d) = d**2 + 14*d + 16. Let h be z(-13). Suppose 0 = -x - 7*b + 2*b - 24, h*b = 2*x - 17. Which is smaller: x or p? p Let d be (-4921)/1653 - (-3 + 0). Which is greater: 0 or d? d Suppose -m + 54 - 62 = 0. Is m < -2/5? True Suppose -3*a - 2*c = 15, c - 20 = 4*a - 2*c. Let r be (3/(-6))/(5/40). Is a at least r? False Suppose 0 = -3*v + 4*v. Which is smaller: 2/59 or v? v Suppose 0 = 4*o - 0 + 4, -5*s = -o + 19. Let j be (-3)/9*0/s. Suppose -r + 0 - 2 = j. Which is bigger: -3 or r? r Suppose -18 = -i + 4*i. Let s = 9 + i. Is s less than or equal to 3? True Let x = -0.041 - -0.841. Which is smaller: x or 0.1? 0.1 Let n be (-42)/(-4) + (-6)/4. Let o be 6/n*3 + -1. Suppose -2 = -3*j + o. Which is greater: j or 2/9? j Let k be (13/(-3))/((-13)/(-39)). Is k at least -13? True Suppose -20*l + 19*l = -71. Which is smaller: l or 73? l Suppose -5*a - 6 = 4*x, 2 = -5*a - x + 8. Suppose 5*m + a*v = -16, 4*m - 3*v + 11 = -4*v. Let c = -5 - m. Is -4 at most as big as c? True Let x(j) = -9*j**2. Let y be x(-2). Is y bigger than -36? False Suppose 2*l - 2 = 2, -3*q - 5*l = 2. Let s be 4/(-14) + (-30)/42. Do s and q have different values? True Let n = -5.4 + 8.4. Is 2/5 not equal to n? True Let b = -2585/9 - -285. Let c = -14/9 - b. Is c >= 3? False Let g(h) = -h**2 + 5*h + 6. Suppose 3*b + 2*b + 10 = 0. Let w(u) = -2*u + 2. Let v be w(b). Let j be g(v). Is j greater than or equal to 2? False Let j be -3*((-16)/12)/2. Let g be j/(0 - (0 + -1)). Which is bigger: 4/7 or g? g Let m = -56 - -59. Is -0.2 < m? True Let u = 6 + -2. Suppose 5*z - 21 = z - 5*v, u*z - 3*v - 13 = 0. Is z at most as big as 4? True Let j be (2 + -1 + -2)/((-1)/(-5)). Which is greater: j or -4? -4 Let n = -39 - -40. Is 1/12 > n? False Let v be (-2)/3*(-6)/20. Let y = -88 - -84. Which is smaller: v or y? y Let s = 36 - 37. Is -7 > s? False Let q = 0.05 - 5.05. Let y = q - -7. Let p = 436/3 - 146. Is y at most as big as p? False Let z be 8/57*(-27)/(-18). Is z at most as big as 0? False Let k(i) = -3*i**2 + 2*i - 1. Let n be k(1). Is -2 bigger than n? False Let k(s) = -6*s**3 + s**2 + s - 1. Let m be k(1). Let o be 20/(-125)*m/2. Are -1 and o nonequal? True Let f = -1.2 + 0.2. Let c = 15.7 + -15. Let o = 0.3 + c. Are f and o non-equal? True Suppose -a + 17 = -0*a - 3*s, a - s = 9. Suppose -3*g + a*g = 0. Let o = -30/17 + 133/85. Which is greater: g or o? g Let m(y) = y + 1. Let f be m(4). Suppose -4*b = 2*k + 28 + 16, f*k - 22 = 2*b. Let w = 15 + b. Which is bigger: 5 or w? 5 Let v(l) = 4*l + 3. Let x be v(-4). Does -9 = x? False Let v be -1*(-4 + 3/1). Is 5/3 less than or equal to v? False Let l be 16/24 + 11/(-3). Let p be (l/(-6))/(2/20). Suppose p*o + 14 + 11 = 0. Is o smaller than -6? False Suppose 0 = 2*n + 2 + 2. Let g be ((-14)/5)/((-2)/10). Suppose 5*a = -20, g = z - 6*z - a. Is z greater than n? False Let z = -23957/380 - -28/95. Let j = z + 63. Let w = -30 + 28. Is w > j? False Let d = -3 - -33. Is d smaller than 29? False Suppose -2*w + 2*i = -4, 0 = 5*w - 4*i - 0*i - 5. Which is bigger: w or 1? 1 Let x be (-8 - -5)*8/(-6). Suppose 0 = x*o - 0*o - 24. Let l(a) = -a**3 + 6*a**2 - a + 4. Let g be l(o). Which is bigger: 1/4 or g? 1/4 Let h = 2 + -3. Let v be h + 1 - (-2)/3. Suppose -b + 5 = 3*n - 3, b = -5*n + 10. Is v greater than n? False Let j(g) = -6*g + 79. Let q be j(13). Which is smaller: 1/13 or q? 1/13 Suppose -3*s - x = 1, s + 3 = -2*s - 3*x. Let o(j) = j + 2. Let t be o(s). Is t at least as big as -0.4? True Let x = 0.72 + -0.8. Let l = x - -2.08. Is 2/7 bigger than l? False Let h = 6 - 2. Suppose h*v - 3*g = 21, -3*v + 3*g + 7 + 11 = 0. Which is greater: 4 or v? 4 Suppose -12*c + 5*c + 63 = 0. Is c smaller than 46/5? True Let p(m) = -2*m + 1. Let z be p(-1). Suppose z = -l - 2. Is -4 at least as big as l? True Let m be 0 + -2 + 1 + 6. Suppose 5*w + 0*w + 25 = 0. Let a = w + m. Is a > 1/3? False Let j = -110 - -115. Is j at most 5? True Let p = -185/6 - -929/30. Is p not equal to 0? True Let d = 0.04 - 0.14. Let y = 68 + -59. Which is smaller: y or d? d Let i = 0 - 1. Let m(s) = s**3 - 5*s**2 - s + 6. Let u be m(5). Which is greater: i or u? u Let o = 146.96 + -147. Which is smaller: 2/5 or o? o Let z = -3 - -9. Let p = 5 + 1. Is z bigger than p? False Let w be 1/3 - (-10)/6. Suppose -12 = 2*l - 4*z, -z = -l + 4*z - 18. Suppose l*v = 4*x - 8, x - 2*x + 1 = -v. Is x equal to w? False Let w be 2/11 + 175/(-55). Is -4 at least as big as w? False Suppose 4*v - 41 = 5*u, -5*v + 48 = -4*u - 1. Suppose 5 = 2*o - s, 4*s + v = 3*o + s. Let k be (0/2 - 1) + 4. Are k and o equal? False Let t = -0.054 - 1.946. Let c(a) = -a**3 + 3*a**2 - 3*a + 1. Let z be c(2). Is t greater than or equal to z? False Let x = 13 - 11. Which is greater: -1/3 or x? x Suppose -d - 2 = -a - 11, 4*d = 3*a + 22. Let v = -21 - -7. Does a = v? True Let q be 7*1 - (1 + 2). Suppose -4*r = 4*f - 4, -q*r + 8*r - 5*f + 5 = 0. Is 1/3 equal to r? False Suppose 34*n = 32*n + 4. Suppose u = -5*x + 2*u - 3, 2*x - 6 = 4*u. Is n greater than x? True Suppose -5*b - 3*v = 1 - 6, -3 = -b - v. Let w be -2 - (b - 1 - 2). Suppose 0 = z + w*z. Is z <= -2/13? False Let f = -111 - -107.95. Let z = f + 0.05. Let a = -0.3 + 0.2. Which is greater: a or z? a Let k = -92 - -90. Is -23/7 smaller than k? True Let w = -75/4 - -915/52. Let q = 95/26 + w. Suppose -a = -l + 3, -a - 2*a - 5*l = -31. Does a = q? False Let x be ((-15)/2830)/((-4)/((-48)/9)). Which is smaller: x or 0? x Let y be -1 + 2 - (-5)/(-3). Let x be (-1)/((-7)/14*(-2)/1). Which is greater: y or x? y Let a = 1.8 - 2. Which is smaller: a or 0.7? a Let m(r) = -r**2 - 7*r + 5. Let q be m(-7). Suppose -a + 5*o + 20 = 0, q*a + 4 = -2*o - 4. Is a >= 2/7? False Let v = 6 + -2. Suppose 5*j - 3*j + 4*a = -v, -4*j = -a - 1. Which is bigger: -2/7 or j? j Let r = -8.4 - 0.6. Let p = r - -8. Which is bigger: -2/23 or p? -2/23 Suppose 4*h + 3*y + 6 + 17 = 0, h + 3 = 2*y. Is -12 greater than or equal to h? False Let t = 31/9 + -29/9. Is t greater than -1? True Suppose -3*x + 15 = 0, 5*g - 2*x = 10 - 0. Let n = -5 - -9. Suppose n*j = j + 12. Is j greater than g? False Let t = -0.2 + 4.2. Let a = 143/3 - 48. I
{ "pile_set_name": "DM Mathematics" }
+ 80*h. -2543*h Collect the terms in -1377*c**3 - 1483*c**3 + 378*c**3. -2482*c**3 Collect the terms in 30*y**3 + 87*y - 171*y - 9*y**3 + 6*y**3. 27*y**3 - 84*y Collect the terms in -29653*h**3 - 29616*h**3 + 59279*h**3. 10*h**3 Collect the terms in -3*z + 23*z - 9*z - 12*z - 6*z. -7*z Collect the terms in -7 + 148*l**2 + 7 + 140*l. 148*l**2 + 140*l Collect the terms in 4496*p**3 - 2*p - 4509*p**3 + 2*p. -13*p**3 Collect the terms in 488*c**3 + 12*c - 192*c**3 - 289*c**3. 7*c**3 + 12*c Collect the terms in -4508*b**3 + 10 - 7 + 4388*b**3 - 3. -120*b**3 Collect the terms in 159*n - 3 + 3 - 98*n + 203*n. 264*n Collect the terms in 50*c**2 + 49*c**2 - 7*c + 7*c - 52*c**2. 47*c**2 Collect the terms in 9 + y - 258*y**2 + 361*y**2 - 9. 103*y**2 + y Collect the terms in -156*b + 4*b**2 + 4*b**2 - 6*b**2 + 101*b. 2*b**2 - 55*b Collect the terms in 8 + 141*q + 203*q - 491*q + 146*q. -q + 8 Collect the terms in -2*u - 7*u - 33*u**2 + u + 8*u. -33*u**2 Collect the terms in -3870*i**2 + 3870*i**2 - 2*i + 15*i**3 + 2*i. 15*i**3 Collect the terms in -99700*f - 20588*f - 25727*f. -146015*f Collect the terms in 2802*l**2 - 5698*l**2 + 0*l + 0*l + 2843*l**2. -53*l**2 Collect the terms in 8*f + f + 10*f + 5*f + 10*f - 39*f. -5*f Collect the terms in 2236*g - 2235*g + 7 + 12 - 12. g + 7 Collect the terms in -a + 27 + 3756 + 1671 - 3*a**3. -3*a**3 - a + 5454 Collect the terms in -12059 + 12059 + 552*t**2. 552*t**2 Collect the terms in -45*r**3 + 201*r**3 - 48*r**3 - 54*r**3 - 45*r**3. 9*r**3 Collect the terms in g**2 - 7*g**2 + 14 - 6*g**2 + 3*g**2. -9*g**2 + 14 Collect the terms in 26*a - 108*a + 25*a + 21*a + 46*a. 10*a Collect the terms in -3*d - 336 - 492 - 1390. -3*d - 2218 Collect the terms in -173*n**3 - 3 + n**2 - 1 + 10 - 6. -173*n**3 + n**2 Collect the terms in -36203*m - 36131*m + 72333*m. -m Collect the terms in 13283 - 13283 - 9*k**3. -9*k**3 Collect the terms in -1110*r**2 + 523 - 523. -1110*r**2 Collect the terms in -4 + 11*n**2 + 169*n - 21*n**2 + 1. -10*n**2 + 169*n - 3 Collect the terms in 333*z**2 - 320*z**2 - 1503*z**2 + 345*z**2. -1145*z**2 Collect the terms in -319*i**2 - 690*i**2 + i + 181*i**2. -828*i**2 + i Collect the terms in 532*n**2 - 266*n**2 - 41*n**3 - 266*n**2. -41*n**3 Collect the terms in 144*u**2 - 226*u**2 + 151*u**2. 69*u**2 Collect the terms in 117*d - 117*d + 2 - 2 - 1153*d**3. -1153*d**3 Collect the terms in -6052*a**2 + 11875*a**2 - 5821*a**2. 2*a**2 Collect the terms in 45 - 94 + 47 + 1039*h. 1039*h - 2 Collect the terms in -100*p**2 + 334 - 99 - 235. -100*p**2 Collect the terms in -1587 + 7799 + 1552 - 2*g + 0*g. -2*g + 7764 Collect the terms in -240*p + 4713 + 47*p - 4711. -193*p + 2 Collect the terms in -24*l - 24*l - 32*l - 23*l - 33*l + 142*l. 6*l Collect the terms in -420*s - 228*s + 104*s - 1. -544*s - 1 Collect the terms in 5*q + 115595 - 115595. 5*q Collect the terms in -81*f + 272*f + 508*f + 60*f. 759*f Collect the terms in -392*c + 809*c - 382*c + 4 - 3 - 332*c. -297*c + 1 Collect the terms in 3*q + 29 + 37 - 66. 3*q Collect the terms in -3*q**3 + 24756428099*q**2 - 24756428099*q**2. -3*q**3 Collect the terms in 10523*z - 31570*z + 10522*z - 12*z**2 + 10525*z. -12*z**2 Collect the terms in -28*o + 36*o + 4*o + o. 13*o Collect the terms in 354*h + 1 - 524*h - 927*h. -1097*h + 1 Collect the terms in 83*t**2 - 45*t**2 + t + 4*t + 50*t**2. 88*t**2 + 5*t Collect the terms in -3*y + 2*y + 0*y + 78 + 2*y. y + 78 Collect the terms in 2*p**2 + 7*p**2 + 1 - 3 + 941*p. 9*p**2 + 941*p - 2 Collect the terms in -58*x - 57*x + 0*x - 121*x. -236*x Collect the terms in 464 - 625*u - 464 + 1254*u - 620*u. 9*u Collect the terms in 714 + 27*g + 724 - 1438. 27*g Collect the terms in -65*t**2 + 65*t - 30*t - 35*t. -65*t**2 Collect the terms in -1444*l**3 + 409*l**3 + 653 - 639. -1035*l**3 + 14 Collect the terms in 3 - 25*x - 19*x + 44*x - 26*x**2. -26*x**2 + 3 Collect the terms in -3349*v**3 + 5*v + 1674*v**3 - 8*v + 1668*v**3 + 3*v. -7*v**3 Collect the terms in -1503*b - 219*b**3 + 228*b**3 + 1503*b. 9*b**3 Collect the terms in -512*q**3 - 900668 - q**2 + 900668. -512*q**3 - q**2 Collect the terms in -30 - 10090*k + 10090*k + k**2 + 30. k**2 Collect the terms in 1 - 15 - 4 + 2*v**3 - 94*v**2. 2*v**3 - 94*v**2 - 18 Collect the terms in 2*j - 2*j - 1936337*j**3. -1936337*j**3 Collect the terms in 15*j + 7485*j**3 + 23*j - 38*j. 7485*j**3 Collect the terms in 2566*n**2 - 25*n**2 + 2519*n**2 - 1510*n**2 + 1717*n**2. 5267*n**2 Collect the terms in -16*n**3 - 18014*n + 18014*n. -16*n**3 Collect the terms in -253 + 26*x**2 - 2*x + 2*x + 253. 26*x**2 Collect the terms in 84 - 240*f + f**2 + 92 - 182. f**2 - 240*f - 6 Collect the terms in 2236*h**3 - 4591*h**3 + 2366*h**3. 11*h**3 Collect the terms in 71*o**3 + 353*o + 8*o**2 - 703*o + 350*o. 71*o**3 + 8*o**2 Collect the terms in -149*g**3 - 2868*g**3 - 6590*g**3 - 4846*g**3. -14453*g**3 Collect the terms in -1370*w + 723*w + 626*w. -21*w Collect the terms in -1855*x - 320*x**2 - 109*x + 321*x**2. x**2 - 1964*x Collect the terms in -7*d**2 - 12*d**2 - 8*d**2 + 15*d**2 + 6*d**2. -6*d**2 Collect the terms in -3852*k - 3852*k - 3852*k - 3843*k + 19248*k - 3851*k. -2*k Collect the terms in -2*r + 13*r - 8*r - 5346*r**3 - 3*r + 5309*r**3. -37*r**3 Collect the terms in -323 - 53*p - 32 - 12. -53*p - 367 Collect the terms in -6*a - a - 1 + 7*a - 1530*a**3. -1530*a**3 - 1 Collect the terms in -209*x**2 + 11 - 3 + 4 + 9 + 215*x**2. 6*x**2 + 21 Collect the terms in -2*r**2 + 3*r**2 + 61 - 7*r**2 - 2*r**2 + 7*r**2. -r**2 + 61 Collect the terms in -46*t - 39*t - 34*t - 42*t + 176*t. 15*t Collect the terms in 48*x**2 + 6*x**3 - 3*x**3 - 44*x**2. 3*x**3 + 4*x**2 Collect the terms in -3092*u**3 - 3064*u**3 + 0*u + 6174*u**3 + 2*u - 2*u. 18*u**3 Collect the terms in 4210 + 2*w - 2142 - 2141. 2*w - 73 Collect the terms in -38 - 4 - 1 - 3*w. -3*w - 43 Collect the terms in 191*n**2 - 384*n**2 + 195*n**2 - 67. 2*n**2 - 67 Collect the terms in -52*b**3 + 37*b**3 - 80*b**3 + 2*b**2. -95*b**3 + 2*b**2 Collect the terms in -1863 - 1875 + 30*l**2 - 1861 + 5599. 30*l**2 Collect the terms in 214*i**2 + 25*i - 24*i - 219*i**2 - i. -5*i**2 Collect the terms in -317*x**2 + 1865*x**2 + 900*x**2 + 2538*x**2. 4986*x**2 Collect the terms in 352 + 19*l**2 - 1050 + 347 - 24*l**2 + 351. -5*l**2 Collect the terms in -7*o - 2*o + 2*o + 29 + o + 5*o. -o + 29 Collect the terms in -2 - p**2 + 4*p**2 + 6. 3*p**2 + 4 Collect the terms in -46*z**2 + 25*z**2 - 132 - 5*z**2. -26*z**2 - 132 Collect the terms in -16*n**2 - 75650 + 75650. -16*n**2 Collect the terms in -111*s**2 + 58*s**2 + 53*s**2 - 5*s**3. -5*s**3 Collect the terms in -10 - 12 - 5*h**2 + 20 + 2. -5*h**2 Collect the terms in 11*q + 238*q**3 - 63*q**3 + 0*q - 2*q. 175*q**3 + 9*q Collect the terms in -34*c - 22*c - 91*c - 41*c + 106*c. -82*c Collect the terms in -h**3 - 89*h**2 - 116*h**2 + 316*h**2 - 111*h**2. -h**3 Collect the terms in -19*y**2 - 2 + 10*y - 8*y - 93*y. -19*y**2 - 91*y - 2 Collect the terms in -88648*x + 164309*x + 114724*x. 190385*x Collect the terms in 1321*f - 3038*f + 1747*f. 30*f Collect the terms in 1101*m + 1119*m - 3308*m + 1132*m. 44*m Collect the terms in 16*j**3 + 49*j**3 + 13*j**2 - 24*j**3 - j**3. 40*j**3 + 13*j**2 Collect the terms in 148*z**2 - 387*z**2 - 443*z**2 - 614*z**2. -1296*z**2 Collect the terms in -54267819*s - 54267820*s + 108535630*s. -9*s Collect the terms in -86*x**3 + 1039*x**3 + 154*x**3. 1107*x**3 Collect the terms in 25*c**2 - 224903*c + 224903*c - 2. 25*c**2 - 2 Collect the terms in 2*r - 212 - 152 - 452. 2*r - 816 Collect the terms in 31 - 17*f - 70 + 38. -17*f - 1 Collect the terms in -402*g**2 + 0*g - 20*g + 33 - 33. -402*g**2 - 20*g Collect the terms in 554*g**3 + 128*g**2 + 127*g**2 - 255*g**2. 554*g**3 Collect the terms in -521*m**2 + 212*m**2 + 4*m - 337*m**2 - 4*m. -646*m**2 Collect the terms in -2*h - 3230874093 + 3230874093. -2*h Collect the terms in -5 + 429*o - 860*o + 407*o. -24*o - 5 Collect the terms in -98*k - k**2 + 27*k**2 + 98*k. 26*k**2 Collect the terms in -107*w + 140845263 - 140845263. -107*w Collect the terms in 139*m**2 - 43*m**2 - 45*m**2 + 10 - 10 - 45*m**2. 6*m**2 Collect the terms in 3*j + 299 - 32*j - 297. -29*j + 2 Collect the terms in -48760*h**2 - 10054*h**2 - 40230*h**2. -99044*h**2
{ "pile_set_name": "DM Mathematics" }
ifth smallest value in -4189, -6/11, -3, -3/8, -4, 2.2, -1? -6/11 What is the second smallest value in -1769/4, 1, -0.5, -5, 0.4, -1? -5 Which is the third smallest value? (a) 3510 (b) -15/77 (c) -4/7 a Which is the third smallest value? (a) -8 (b) -3 (c) 16534.2 (d) -1 (e) -0.1 d Which is the second biggest value? (a) -3 (b) -0.02 (c) -3/2 (d) -0.5 (e) -0.17 (f) 4288 b Which is the fifth biggest value? (a) -2/7 (b) -1/3 (c) 1 (d) 0.5 (e) -0.3 (f) 7.2 (g) 344/7 a Which is the biggest value? (a) 0.14 (b) 0.5 (c) 4 (d) 7.1 (e) -2 (f) 103/7 f Which is the third smallest value? (a) 0.07 (b) 76 (c) 1/3 (d) -39 (e) 4 (f) 0.2 (g) -2/9 a What is the third biggest value in -7.82, 0.1, -5/4, 4/3, 1/75? 1/75 Which is the fourth biggest value? (a) 5 (b) -3 (c) 0.1 (d) -0.43 (e) 3181 d Which is the third smallest value? (a) 13/8 (b) 3261 (c) 2 (d) -4 c Which is the fifth biggest value? (a) 0 (b) 1 (c) 11 (d) -2.881 (e) 3 (f) 0.4 a Which is the fifth biggest value? (a) 3 (b) -3/2 (c) -3 (d) -3/11 (e) -2 (f) 11 (g) -5 e Which is the fifth smallest value? (a) -1 (b) 2/7 (c) 4/3 (d) 1/9 (e) -2 (f) 2 (g) 0.215 b Which is the fourth biggest value? (a) 109/7 (b) 0.08 (c) 11 (d) 1 b Which is the second biggest value? (a) -10 (b) -2.9 (c) 25 (d) -148/7 (e) -1/2 e What is the sixth biggest value in 0.4, 3/7, 0, 1/3, 2/9, -136, 3848? 0 Which is the biggest value? (a) -10.2 (b) -5 (c) -1431/5 b Which is the smallest value? (a) 0.07 (b) 2/11 (c) -0.3 (d) 11 (e) -1 (f) 0.086 e What is the fourth smallest value in 20, 23, 144, -2? 144 What is the third smallest value in -3/388, 1/4, 1/75? 1/4 What is the fifth biggest value in 3, -0.2, -2/7, -1.2, -13/8, -0.029? -1.2 What is the second biggest value in 4, 1, 10/7, -5, 5, -36040? 4 Which is the second smallest value? (a) -10.9796 (b) -1/2 (c) 1.63 (d) 5 b What is the third smallest value in 4, -100739, 397? 397 What is the fourth smallest value in -14, 0.04, 0, -0.0337, -5, -2/9? -0.0337 Which is the third biggest value? (a) 29 (b) -10396068 (c) -4 b Which is the sixth smallest value? (a) 0.05 (b) 8/7 (c) 2/7 (d) -2 (e) 0.049 (f) 0.5 (g) -5 f Which is the second biggest value? (a) 2/11 (b) 0.5 (c) -57 (d) 136.9 (e) 5 e Which is the third smallest value? (a) -1/7 (b) 201 (c) -43 (d) 5 d Which is the sixth smallest value? (a) 8/5 (b) -0.2 (c) 3.9 (d) -6 (e) 13 (f) 4 e Which is the fifth biggest value? (a) -4 (b) 2724 (c) 4/17 (d) -0.03 (e) 0.2 a What is the sixth biggest value in 2/11, -0.08, 3556, -2, 0, 3/5? -2 What is the sixth smallest value in 2/21, 2/9, 5, -31.6, -9, 1? 5 What is the fifth biggest value in 2/7, 11.15, 27, 9, 3, 5? 3 Which is the smallest value? (a) 3/16 (b) -5 (c) -14/31 (d) -11.3 (e) 1 (f) 4/7 d What is the smallest value in -3, 34, 333/5, -32, -2/5? -32 What is the third smallest value in 15, 11/14, -2/11, 0.4, 0.1352, -0.3, 0.1? 0.1 What is the third smallest value in 55, -3/7, 178, 2/9, -5/17? 2/9 What is the biggest value in -13, -3/7, -12064203? -3/7 What is the smallest value in -1, -2800, -1/2, 12? -2800 What is the second biggest value in -2, 1, -11455064? -2 Which is the smallest value? (a) 4 (b) -0.2 (c) -1.66 (d) -1 (e) 0.1 (f) -0.01 (g) -1/4 c Which is the fourth biggest value? (a) -2 (b) 3 (c) -0.3 (d) -14.92 (e) 0.3 (f) 0.4 (g) -5 c Which is the smallest value? (a) -1/9 (b) -3/632 (c) -4 (d) -0.03948 c Which is the fifth smallest value? (a) 2/11 (b) -0.3 (c) -88 (d) 0 (e) -9/7 a Which is the fifth biggest value? (a) -48 (b) 12/89 (c) 0.5 (d) 2/3 (e) -2/9 a What is the smallest value in 8801, -3/118, -2/3? -2/3 What is the smallest value in 25/3, 5896, -1/6? -1/6 Which is the second biggest value? (a) -0.0115397 (b) 2 (c) 0 (d) 8 b Which is the smallest value? (a) -9 (b) 0.1 (c) 15 (d) 0.4 (e) 0.0954 (f) -0.1 a Which is the fifth biggest value? (a) -0.3 (b) 0.3 (c) 511 (d) 0.4 (e) -3 (f) 2/13 a What is the third biggest value in -2.7, 4586, -1, -1/4? -1 What is the smallest value in -56.62, 0, 61, 4? -56.62 Which is the third biggest value? (a) -0.03 (b) 2/39 (c) 2/9 (d) -1378/297 (e) -5 (f) 0 f Which is the fifth smallest value? (a) 8.4763 (b) 6 (c) -0.2 (d) 1 (e) 2/9 (f) -1/3 b Which is the third smallest value? (a) -3/7 (b) 44 (c) 2/7 (d) 101 (e) 0.5 (f) 3 e What is the second biggest value in 3, -3/9167, 17? 3 Which is the second smallest value? (a) 30 (b) -3/2 (c) -4/7 (d) 100 c Which is the sixth smallest value? (a) -442 (b) -5 (c) 0.4 (d) 0.5 (e) -12 (f) -2/9 (g) -145 c Which is the third smallest value? (a) -69 (b) 1/5 (c) 2 (d) -11 (e) -53 (f) -0.4 (g) 11 d What is the third biggest value in -88469, -0.6, 2/283? -88469 What is the fourth smallest value in -2, 9653, 0.5, 388? 9653 What is the sixth biggest value in -5, 14.653, 0, -7.42, 0.5, 0.04? -7.42 What is the second smallest value in 1, -17, -2/25, -2/5, -131424? -17 Which is the fifth biggest value? (a) -585 (b) 2 (c) -4 (d) 5 (e) -0.694 (f) -2 c Which is the fifth smallest value? (a) 0.2 (b) -2/9 (c) 5 (d) 212 (e) -1/2 (f) 3/2 (g) 0 f What is the fifth biggest value in 0.08, 4, -3.2, -38/7, -2? -38/7 Which is the second smallest value? (a) 22 (b) -3.665 (c) 0.5 (d) -6 b Which is the second biggest value? (a) -339 (b) 22/5 (c) -0.41 c Which is the biggest value? (a) -1/3 (b) 2631534 (c) 1/6 (d) -1/11 b Which is the sixth biggest value? (a) -0.2 (b) 1.1 (c) 1/3 (d) -126 (e) -156 (f) -1 (g) 4/9 d Which is the third biggest value? (a) -0.3 (b) 1/4 (c) 22/5 (d) -1 (e) -2 (f) -27 a Which is the second smallest value? (a) -2/13 (b) -2 (c) -989 (d) -0.3 (e) -2/5 (f) 5 (g) -3 g Which is the sixth smallest value? (a) 3 (b) -1 (c) -1655 (d) 1 (e) -0.1 (f) 63/19 f Which is the fourth smallest value? (a) -1 (b) -1/16 (c) -0.77 (d) -1.62 (e) 1/5 (f) 17 b Which is the second biggest value? (a) 1579 (b) -0.4 (c) -300 (d) 1 (e) 0.1 d Which is the third biggest value? (a) -138 (b) 0.059 (c) 321 (d) -1 d Which is the third biggest value? (a) 67 (b) -15260 (c) -38 (d) 5/3 c What is the biggest value in -103732, -3/7, -4229? -3/7 What is the biggest value in 5, -2/3, -619, -80, -1? 5 What is the third smallest value in 0.7403, 30, 11? 30 What is the smallest value in -19, 0.07, -6, 6644, 3/5? -19 Which is the second smallest value? (a) -2/13 (b) -0.26874 (c) 0.5 (d) 10 (e) 2 a Which is the second smallest value? (a) -0.1 (b) -7/5 (c) -533 (d) -1/4 (e) 2 (f) 0.1 b What is the fourth biggest value in -0.4, -0.1, -2, -21905, -6.11, 2? -2 What is the fourth smallest value in 0.0959, 0.5, -0.331, -0.002? 0.5 Which is the third smallest value? (a) 0.5 (b) 5/4 (c) -4 (d) -3 (e) 1/4 (f) -2 (g) 9009 f What is the seventh smallest value in 0, 0.1, 3, -3/5, -0.13, -42, 188? 188 What is the biggest value in 1/2, 1, 2/3, 0, 0.81, 1/15? 1 What is the third smallest value in 20, 4, -185179? 20 Which is the third smallest value? (a) -1/4 (b) -11/320465 (c) -2/3 b Which is the biggest value? (a) 17 (b) -5 (c) -4.1 (d) 23 (e) 7 (f) -14 (g) -1 d Which is the fourth biggest value? (a) -96 (b) 0.5 (c) 2 (d) -0.5 (e) 20.34 (f) -18/7 (g) 0 g What is the fourth smallest value in 2, -2/347, 0, -0.01, -23.3? 0 What is the smallest value in 2, 3, 7710/457? 2 What is the smallest value in 22045, -7, 980? -7 Which is the fourth smallest value? (a) -125 (b) -718 (c) -1 (d) -1/27 d What is the biggest value in -0.021, 514, -2.5? 514 What is the smallest value in -27, -1, 4/3, -2/103, 4, -4? -27 Which is the fifth smallest value? (a) 5 (b) -19 (c) 122 (d) -2/7 (e) 0.5 (f) 1/9 (g) 1/7 e Which is the third biggest value? (a) -3/81109 (b) 6 (c) 1/4 a Which is the third biggest value? (a) -689253 (b) -2 (c) 1/3 (d) -0.3 b Which is the second biggest value? (a) -1/11 (b) -0.1 (c) 298.46 (d) -0.025 d What is the third biggest value in 2/5, 2/23, 0.3, -59/6, -134? 2/23 Which is the biggest value? (a) 121 (b) -984 (c) -2.8 (d) 0 a Which is the second smallest value? (a) 617 (b) 1344 (c) -4 (d) 4 d What is the fourth biggest value in 0.08, 0.3, -2/1
{ "pile_set_name": "DM Mathematics" }
**2. 24*i**2 Collect the terms in -61 - 46 + 69 + 145 - 2*f**3 - 46 - 61. -2*f**3 Collect the terms in 99 + 1194*v**3 + 62*v**3 - 99. 1256*v**3 Collect the terms in -43*t + 43*t - 1915 + 1915 + 122*t**2. 122*t**2 Collect the terms in 179*b + 172*b + 75*b + 27*b + 300*b + 117*b. 870*b Collect the terms in -16*i**2 - 90*i**2 - 459*i**2 + 158*i**2. -407*i**2 Collect the terms in -15*g - 14*g + 95 - 3*g + 13*g - 9*g + 31*g. 3*g + 95 Collect the terms in 791*r + 711*r - 2216*r + 1. -714*r + 1 Collect the terms in -1 - 5628*d**2 - d + 11456*d**2 - 5763*d**2 + d. 65*d**2 - 1 Collect the terms in -103056*v**2 - 102645*v**2 + 206101*v**2. 400*v**2 Collect the terms in 604300*k**3 - 1208615*k**3 + 604296*k**3. -19*k**3 Collect the terms in 11 - 410*n + 576*n + 0 + 7 - 18. 166*n Collect the terms in 8*x - 33049 + 14*x + 2*x - 23*x. x - 33049 Collect the terms in -464*x**3 - 165679590*x + 165679590*x + 450*x**3. -14*x**3 Collect the terms in -15523*b + 30527*b - 15460*b. -456*b Collect the terms in -2366*n**2 - 1747*n**2 + 620*n**2. -3493*n**2 Collect the terms in 80*z**2 - 98*z**2 - 11 + 25 + 15*z**2 - 14. -3*z**2 Collect the terms in 7694*b**3 - 1915*b**3 - 2819*b**3. 2960*b**3 Collect the terms in 10*b + 24*b + 6*b + 25*b + 43*b - 8*b. 100*b Collect the terms in -36 + 85 + 6*q**2 - 18 - 31. 6*q**2 Collect the terms in 2*u - u**2 + 7658*u**3 - 14*u + u**2. 7658*u**3 - 12*u Collect the terms in 31 - 13 - 18 + 14915*k**2. 14915*k**2 Collect the terms in -3231*v**2 + 1157 + 1162 - 2319 - 5*v. -3231*v**2 - 5*v Collect the terms in 38*o**3 + 2360 - 4046 + 1682 + 7*o**2. 38*o**3 + 7*o**2 - 4 Collect the terms in -2016 - 2021 - 2020 + 3*w + 6057 + w. 4*w Collect the terms in -869*m - 810*m + 21*m**2 + 14*m**2 + 1679*m. 35*m**2 Collect the terms in 112572*n - 112572*n + 286531*n**3 - 286528*n**3 - 16. 3*n**3 - 16 Collect the terms in -33*r**3 + 0*r**3 + 1983 + 1504 + 2057 + 135. -33*r**3 + 5679 Collect the terms in 3500013 - 10499991 + 2*m + 3499960 + 3500018. 2*m Collect the terms in 69*r**3 + 25*r**3 - 54*r**3 + 77*r**3 + 59*r**3 + 55*r**3. 231*r**3 Collect the terms in 39697*i - 8 + 32 - 24. 39697*i Collect the terms in 7809*s + 7794*s + 7814*s - 23377*s. 40*s Collect the terms in -2491114236009*o + 113*o**2 + 2491114236009*o. 113*o**2 Collect the terms in n**3 + 4*n**3 - 2*n**3 - 18026443 + 18026869. 3*n**3 + 426 Collect the terms in 299*g - 58*g**2 - 586*g + 61*g**2 + 292*g. 3*g**2 + 5*g Collect the terms in 16 - 52 + 15 + 21 - 49308*g**3. -49308*g**3 Collect the terms in 1 - 1031*j**2 - 505*j**2 + 242*j**2 - 137*j**2. -1431*j**2 + 1 Collect the terms in 163766*n**3 + 79113*n**3 - 102709*n**3 + 110824*n**3. 250994*n**3 Collect the terms in -79*q**2 - 7*q + 869 + 7*q. -79*q**2 + 869 Collect the terms in -64849*a**3 + 129687*a**3 + 6 + 4 + 5 - 15 - 64843*a**3. -5*a**3 Collect the terms in 19 + 28 - 11 - 55 + 20 - 48*l**2 + 150*l**2. 102*l**2 + 1 Collect the terms in -23*c + 563 - 15*c - 22*c + 83*c - 20*c. 3*c + 563 Collect the terms in -378058568*n**3 + 756117110*n**3 - 378058560*n**3. -18*n**3 Collect the terms in 493468*o**2 - 246728*o**2 - 246732*o**2. 8*o**2 Collect the terms in 58654298*r**3 + 58653608*r**3 - 117307905*r**3. r**3 Collect the terms in 388 + 653*b**2 - 109*b**2 + b - 392. 544*b**2 + b - 4 Collect the terms in -29 + 22 - 460*j + 484*j + 3. 24*j - 4 Collect the terms in -483*t + 1057 - 262 - 259 - 269 - 261. -483*t + 6 Collect the terms in 6*l + 8148*l**2 - 8*l - 8026*l**2 + 2*l. 122*l**2 Collect the terms in -64028 + 60*z - 121*z + 61*z - 35*z**2 + 64028. -35*z**2 Collect the terms in 58*c**2 + 255*c**3 - 58*c**2 + 143*c**3. 398*c**3 Collect the terms in 922 + 526*k + 535*k + 499*k - 2615*k + 525*k - 922 + 532*k. 2*k Collect the terms in 2*u**3 + 4169 + 0*u + 0*u + 0*u - 4475. 2*u**3 - 306 Collect the terms in -15 + 3080 - 169*m - 1664 + 170*m. m + 1401 Collect the terms in -124*o + 60*o**2 + 868*o - 3*o**3 - 60*o**2. -3*o**3 + 744*o Collect the terms in -447*o - 767219 + 767219. -447*o Collect the terms in 4*f + 5*f - 9*f - 2 + 13*f**3 - 26*f**3. -13*f**3 - 2 Collect the terms in 2525*n - 2525*n - 396*n**3 + 52*n**3. -344*n**3 Collect the terms in -2*u**2 + 203*u - 2 + 605*u**3 - 143*u - 60*u + 2*u**2. 605*u**3 - 2 Collect the terms in 1084690 - 1084690 + 35*a**2. 35*a**2 Collect the terms in -418*t**3 - 6*t**3 - 2*t**3 - 183*t**3 - 225*t**3. -834*t**3 Collect the terms in -75 - 73 - 83*t - 79 + 228 + 77*t. -6*t + 1 Collect the terms in 2*w**2 + 764 + 762 + 770 - 3066 + 1519*w + 768. 2*w**2 + 1519*w - 2 Collect the terms in 0 + 18*h**2 + 0 - 3 + 1 + 117*h**2. 135*h**2 - 2 Collect the terms in -433*o + 165*o + 207*o + 308*o. 247*o Collect the terms in -339 + 8*c + 363 - 12*c + 20*c**2. 20*c**2 - 4*c + 24 Collect the terms in -238 - 696*i**3 - 229 + 700 - 710*i**3 - 233. -1406*i**3 Collect the terms in 5861937*w - 2930878*w - 2931368*w. -309*w Collect the terms in 178029 + 0*k + 178037 - 356066 + 32*k - 3*k. 29*k Collect the terms in -30194*m**3 + 61123*m**3 - 31007*m**3. -78*m**3 Collect the terms in -146 + y - 137*y**3 + 15 + 43 + 78. -137*y**3 + y - 10 Collect the terms in -323*d - 454*d + 2*d**2 + 196*d. 2*d**2 - 581*d Collect the terms in -127 - 70 - 72 - 25*w**2. -25*w**2 - 269 Collect the terms in -314 + 75 + 82 + 2806*o + 77 + 82. 2806*o + 2 Collect the terms in 1161 + 1264 - 2425 - 9*b. -9*b Collect the terms in 44 + 14*f - 6*f**3 - 45*f - 35*f + 38*f. -6*f**3 - 28*f + 44 Collect the terms in 1119*h - 2209*h - 1631*h - 504*h. -3225*h Collect the terms in 1666*p**3 - 622*p**3 + 197*p**3 + 1901*p**3. 3142*p**3 Collect the terms in -129*l - 209*l - 209*l - 131*l + 960*l - 178*l. 104*l Collect the terms in 8089*c + 12119477 - 12119477. 8089*c Collect the terms in -2370485*g + 2370485*g + 16*g**3. 16*g**3 Collect the terms in -124*j - 91*j**2 - 322*j + 569*j - 123*j. -91*j**2 Collect the terms in 99566*v**2 + 19427*v**2 - 20792*v**2. 98201*v**2 Collect the terms in 313*s**3 - 321*s**3 + 1230 - 1222. -8*s**3 + 8 Collect the terms in 4 - 139*f**2 + 15*f - 151*f**2 - 420*f**2. -710*f**2 + 15*f + 4 Collect the terms in 2123*w**2 + 8 + 2125*w**2 - 7098*w**2 + 2851*w**2. w**2 + 8 Collect the terms in -24*y**2 + 136*y**3 + 68*y**3 - 8*y**2 + 32*y**2 - 229*y**3. -25*y**3 Collect the terms in -2 + 13582*g**2 - 3886*g**2 + 2 - 3872*g**2 - 5854*g**2. -30*g**2 Collect the terms in -1 + 525*v**2 - 69*v - 1687*v**2 + 71*v. -1162*v**2 + 2*v - 1 Collect the terms in -15*r**2 + 15*r**2 + 2 - 3220098*r**3. -3220098*r**3 + 2 Collect the terms in -227*a + 228*a + 1398*a**2 - 1379*a**2. 19*a**2 + a Collect the terms in 24*m**3 - 1280*m**2 - 2113*m**2 - 574*m**2 + 904*m**2 - 3*m**3. 21*m**3 - 3063*m**2 Collect the terms in -269*m - 1185*m - 686 + 343 + 343. -1454*m Collect the terms in -82970 + 8*t**3 - 2*t**2 + 41356 - 2*t**2 + 41614 + 4*t**2. 8*t**3 Collect the terms in 6622*h**3 - 2720*h**3 + 8 + 5481*h**3 - 8. 9383*h**3 Collect the terms in 26*h + 40*h + 4*h + 29*h - 18*h - 155*h - 7*h. -81*h Collect the terms in 6 + 1103456659854*l**2 + 28 - 1103456659858*l**2. -4*l**2 + 34 Collect the terms in 1040147 + a**2 - 2080491 + 1040344 - 3*a**2. -2*a**2 Collect the terms in 5824*z + 273 + 5811*z - 11638*z + z**2 - 273. z**2 - 3*z Collect the terms in -558*q**2 + 2730*q**2 - 542*q**2 + 2 - 548*q**2 - 551*q**2 - 547*q**2. -16*q**2 + 2 Collect the terms in -2*v - 2*v + 33*v - 30*v + v + 0*v + 16*v**2. 16*v**2 Collect the terms in 2412 - 1422*c**3 - 910*c**3 - 2388. -2332*c**3 + 24 Collect the terms in 17691 - 8844 - 8847 + 382*s**2. 382*s**2 Collect the terms in 3 + 1 - 14 - 3328*x + 14 - 3. -3328*x + 1 Collect the terms in o**2 + 4*o + 2340733 - 4*o - 2340985. o**2 - 252 Collect the terms in -63 + 14 + 18 - 66 - 108*o. -108*o - 97 Collect the terms in 4*i + 21*i - 2574*i**2 + 2867*i**2 - 3*i. 293*i**2 + 22*i Collect the terms in 12800*z - 1 - 15385*z + 0 + 1. -2585*z Collect the terms in -438*y + 43018*y**2 - 43024*y**2 - 1 + 438*y + 1. -6*y**2 Collect the terms in 6 - 526*x - 405*x + 945*x. 14*x + 6 Collect the terms in -2665*d + 654*d - 750*d - 872*d. -3633*d Collect the terms in 1692*l + 40*l**2 - 25*l**2 + 241*l - 38*l**2. -23*l**2 + 1933*l Collect the terms in 6336 - 13619 + 7283 + 4*i**2. 4*i**2 Collect the terms in 324*j**2 + 32833*j - 639*j**2 + 31
{ "pile_set_name": "DM Mathematics" }
4/153 What is prob of picking 2 p and 1 x when three letters picked without replacement from {v: 2, e: 1, a: 1, p: 2, x: 2}? 1/28 Two letters picked without replacement from iliiy. What is prob of picking 1 y and 1 l? 1/10 Calculate prob of picking 1 f, 1 j, 1 g, and 1 h when four letters picked without replacement from {j: 7, f: 6, h: 3, b: 2, g: 1}. 21/646 Calculate prob of picking 2 d when two letters picked without replacement from {m: 1, b: 3, o: 2, g: 1, j: 1, d: 4}. 1/11 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xrxxxxvxxxxxxvxxx. 7/34 Three letters picked without replacement from neneemceennenml. What is prob of picking 1 m, 1 e, and 1 c? 12/455 What is prob of picking 2 g when two letters picked without replacement from {l: 2, p: 2, g: 5}? 5/18 Two letters picked without replacement from {m: 3, f: 6, j: 3, o: 5, p: 1}. Give prob of picking 1 m and 1 j. 1/17 Calculate prob of picking 1 c and 2 x when three letters picked without replacement from mgmfgfhgffhxggxchg. 1/816 Calculate prob of picking 2 m when two letters picked without replacement from {m: 6, d: 6}. 5/22 Three letters picked without replacement from {x: 4, y: 1, d: 3}. Give prob of picking 1 x and 2 d. 3/14 What is prob of picking 2 v when two letters picked without replacement from dvuvuvududvv? 5/33 What is prob of picking 2 y when two letters picked without replacement from {e: 5, f: 2, y: 6}? 5/26 What is prob of picking 1 r and 1 p when two letters picked without replacement from rpp? 2/3 Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {v: 8, s: 3}. 8/55 Four letters picked without replacement from {p: 16, v: 4}. What is prob of picking 4 p? 364/969 What is prob of picking 1 t and 2 b when three letters picked without replacement from btbbbbbbbbztz? 36/143 Three letters picked without replacement from {q: 7, s: 5, z: 2, r: 4}. Give prob of picking 2 q and 1 r. 7/68 Calculate prob of picking 1 z and 3 a when four letters picked without replacement from zzaffafafzzffzaff. 1/119 Three letters picked without replacement from {f: 4, y: 3, h: 2}. Give prob of picking 2 h and 1 y. 1/28 What is prob of picking 2 s and 2 p when four letters picked without replacement from {p: 10, l: 1, a: 1, s: 2}? 45/1001 What is prob of picking 2 w and 1 s when three letters picked without replacement from nnnwwwwznnpwissz? 1/28 Three letters picked without replacement from {y: 3, o: 2, a: 1, t: 4, r: 2}. Give prob of picking 1 a, 1 r, and 1 y. 3/110 Calculate prob of picking 2 r and 1 z when three letters picked without replacement from hxyryrxz. 1/56 What is prob of picking 1 c, 1 o, and 1 j when three letters picked without replacement from cccjooocchcco? 14/143 Calculate prob of picking 1 z, 1 c, and 1 q when three letters picked without replacement from {q: 3, z: 1, s: 3, c: 1, u: 5}. 3/286 What is prob of picking 4 d when four letters picked without replacement from ddddd? 1 Three letters picked without replacement from nvvnnnnnnn. What is prob of picking 1 n and 2 v? 1/15 Four letters picked without replacement from {v: 4, s: 2, c: 4, y: 5}. Give prob of picking 3 c and 1 y. 4/273 Three letters picked without replacement from {s: 3, v: 4, y: 4, m: 3}. Give prob of picking 1 m and 2 s. 9/364 What is prob of picking 3 u and 1 q when four letters picked without replacement from {u: 6, q: 13}? 65/969 Two letters picked without replacement from {h: 2, b: 9}. Give prob of picking 2 b. 36/55 Two letters picked without replacement from {g: 14, m: 5, i: 1}. Give prob of picking 1 m and 1 g. 7/19 Two letters picked without replacement from elmllgyllgglo. Give prob of picking 1 m and 1 g. 1/26 Four letters picked without replacement from vyyyvyyvyyy. Give prob of picking 2 v and 2 y. 14/55 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 8, q: 2}. 16/45 Calculate prob of picking 1 r and 1 n when two letters picked without replacement from ornrwwnnnwlnnwrrn. 7/34 Four letters picked without replacement from nqqqqnqnqnnnqqqnnnnn. Give prob of picking 4 n. 22/323 Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {i: 1, f: 2, h: 1, d: 1, y: 2}. 2/21 Calculate prob of picking 1 l, 1 v, and 1 e when three letters picked without replacement from ldewv. 1/10 Three letters picked without replacement from {o: 1, w: 3, g: 1, k: 1, q: 1}. Give prob of picking 1 k and 2 w. 3/35 Four letters picked without replacement from vvcvc. What is prob of picking 2 v and 2 c? 3/5 Four letters picked without replacement from {u: 5, q: 2, h: 1, b: 1}. What is prob of picking 2 q, 1 h, and 1 b? 1/126 What is prob of picking 1 z and 2 q when three letters picked without replacement from {z: 6, q: 10, y: 2}? 45/136 Two letters picked without replacement from ttvvtt. What is prob of picking 1 v and 1 t? 8/15 Three letters picked without replacement from {p: 1, w: 3, l: 4, i: 2, e: 1, s: 1}. Give prob of picking 1 e, 1 s, and 1 l. 1/55 What is prob of picking 3 v when three letters picked without replacement from vnvvvnvvnvv? 56/165 Three letters picked without replacement from uuubbyfbbukubuyuu. What is prob of picking 1 b and 2 y? 1/136 Two letters picked without replacement from euxexhgaa. What is prob of picking 1 u and 1 g? 1/36 Calculate prob of picking 1 f and 1 a when two letters picked without replacement from kqkqqaqqkffak. 2/39 Four letters picked without replacement from sxxxsx. What is prob of picking 4 x? 1/15 Three letters picked without replacement from vvqvtqvtvqkt. What is prob of picking 1 q and 2 v? 3/22 Three letters picked without replacement from {b: 4, o: 5, w: 1, g: 2, u: 2}. What is prob of picking 1 b, 1 w, and 1 o? 5/91 Two letters picked without replacement from ddxnd. Give prob of picking 2 n. 0 Two letters picked without replacement from wbmobmiinim. Give prob of picking 1 o and 1 m. 3/55 Calculate prob of picking 3 a when three letters picked without replacement from aaaggaggaaa. 7/33 What is prob of picking 4 c when four letters picked without replacement from ccccccccc? 1 Three letters picked without replacement from bmbbbmmb. Give prob of picking 1 m and 2 b. 15/28 Calculate prob of picking 2 l and 2 v when four letters picked without replacement from vlkllvllvt. 1/7 Calculate prob of picking 1 i and 1 v when two letters picked without replacement from oiooooozjivioooozi. 4/153 Two letters picked without replacement from {r: 11, t: 2, p: 1, j: 1}. Give prob of picking 1 p and 1 t. 2/105 What is prob of picking 1 o, 1 e, and 2 a when four letters picked without replacement from oajye? 0 Calculate prob of picking 2 l when two letters picked without replacement from lttttlttlttll. 5/39 Calculate prob of picking 1 r and 1 o when two letters picked without replacement from bobbfbrfvcbvfbvbrvf. 2/171 Calculate prob of picking 1 c, 1 a, and 1 h when three letters picked without replacement from phcam. 1/10 What is prob of picking 2 j, 1 k, and 1 t when four letters picked without replacement from {t: 3, j: 3, k: 7, b: 2}? 3/65 Four letters picked without replacement from vvzvzv. What is prob of picking 3 v and 1 z? 8/15 Two letters picked without replacement from {r: 2, t: 5, m: 7, d: 3}. What is prob of picking 1 t and 1 r? 5/68 What is prob of picking 2 b when two letters picked without replacement from bfbbezfzebbezebbb? 7/34 What is prob of picking 1 t and 1 q when two letters picked without replacement from {m: 4, j: 2, q: 5, t: 2}? 5/39 Four letters picked without replacement from bxvvxxvxxvvvxxxvvxx. Give prob of picking 1 v, 1 b, and 2 x. 30/323 What is prob of picking 3 u and 1 y when four letters picked without replacement from ulduuuhhyuddhyhdu? 2/119 Calculate prob of picking 1 o, 1 c, 1 a, and 1 p when four letters picked without replacement from {o: 1, c: 4, i: 2, a: 1, p: 2}. 4/105 Calculate prob of picking 1 g and 1 u when two letters picked without replacement from gixxruk. 1/21 Four letters picked without replacement from {b: 1, l: 1, g: 4, m: 2, u: 2}. What is prob of picking 1 m and 3 l? 0 What is prob of picking 2 k when two letters picked without replacement from {k: 9, l: 1, j: 7, b: 2}? 4/19 What is prob of
{ "pile_set_name": "DM Mathematics" }
. 81 Let t(p) = -5*p - 12. Give t(-2). -2 Let z(q) = q + 53. Calculate z(-18). 35 Let z(y) = 3*y**3 - y**2 - 7*y - 6. Calculate z(-1). -3 Let c(a) = -31*a + 4. Calculate c(2). -58 Let u(n) = 2*n**2 + 33*n + 37. What is u(-15)? -8 Let j(n) = -n**3 - 13*n**2 + 5*n + 58. What is j(-13)? -7 Let k(t) = -2*t - 29. Calculate k(11). -51 Let r(z) = z**3 - 24*z**2 + 23*z + 11. Determine r(23). 11 Let n(x) = -12*x - 54. Determine n(-4). -6 Let q(v) = -19*v + 100. Determine q(5). 5 Let w(a) = a**3 - 23*a**2 - a + 18. What is w(23)? -5 Let v(x) = x**3 + 2*x**2 - 3*x - 9. Calculate v(-2). -3 Let d(s) = -s**3 + s**2 + 11*s + 5. Give d(-3). 8 Let h(f) = -19*f**2 - f - 1. Calculate h(-1). -19 Let b(j) = j**3 - 2*j**2 - 3*j. Determine b(0). 0 Let a(y) = -y**3 + 45*y**2 - 42*y - 89. What is a(44)? -1 Let p(t) = t**3 + 14*t**2 - 26*t - 33. Give p(-15). 132 Let z(i) = -i**3 + 36*i**2 - 34*i - 32. Calculate z(35). 3 Let f(u) = 18*u**3 + u - 1. Give f(1). 18 Let a(k) = k**2 + 17*k + 32. Calculate a(-15). 2 Let q(r) = -r**3 + 10*r**2 - 2*r - 6. Give q(5). 109 Let l(j) = -j**2 + 15*j - 8. Determine l(13). 18 Let z(o) = o - 53. What is z(24)? -29 Let y(i) = -4*i - 82. What is y(-19)? -6 Let r(y) = -35*y**3 + 2*y + 1. Give r(-1). 34 Let b(o) = -o**3 - 4*o**2 + 8*o + 15. Give b(0). 15 Let s(q) = -q - 21. Determine s(-14). -7 Let c(h) = -h**3 - h**2 - h - 4. Calculate c(0). -4 Let r(i) = i - 4. What is r(3)? -1 Let a(k) = k**3 - 13*k**2 - 6*k + 28. What is a(13)? -50 Let t(h) = -h**2 - 48*h - 52. What is t(-47)? -5 Let d(s) = 5*s**2 - 2. Calculate d(2). 18 Let z(u) = -u**2 - 17*u - 7. Determine z(-16). 9 Let h(m) = m**3 + 17*m**2 - 20*m - 30. Determine h(-18). 6 Let n(j) = j**2 + 2*j + 4. Calculate n(5). 39 Let v(p) = p**3 + 25*p**2 + 102*p + 10. What is v(-20)? -30 Let d(w) = -4*w - 5. Determine d(-2). 3 Let t(h) = -h**3 - 5*h**2 - 2*h - 7. What is t(-6)? 41 Let m(b) = b**3 - 8*b**2 + 8*b + 19. What is m(6)? -5 Let i(x) = -x - 10. Give i(0). -10 Let x(u) = 13*u - 44. What is x(5)? 21 Let c(n) = n**3 + 9*n**2 + 2. What is c(-9)? 2 Let w(m) = 42*m - 556. Determine w(13). -10 Let p(a) = -7*a - 7. Calculate p(-5). 28 Let s(i) = i**2 + 15*i + 19. Give s(-14). 5 Let a(j) = -j**2 - 2*j - 13. Determine a(0). -13 Let u(j) = -j**2 + 15*j - 4. What is u(11)? 40 Let u(k) = k**3 + 7*k**2 + 7*k + 10. Calculate u(-7). -39 Let o(t) = -t**2 + 11*t + 48. Determine o(14). 6 Let h(u) = -4*u - 5. Give h(4). -21 Let q(d) = -d**2 + 2*d - 7. Give q(6). -31 Let f(h) = h**2 + 17*h + 28. Determine f(-12). -32 Let f(q) = 14*q - 50. Give f(3). -8 Let t(z) = z + 2. Determine t(3). 5 Let n(g) = -g**3 + 13*g**2 - 10*g - 12. Give n(12). 12 Let j(i) = -3*i - 75. Give j(-22). -9 Let o(i) = -i**3 + 5*i**2 - 5. Give o(5). -5 Let i(f) = f**3 + 27*f**2 + 50*f + 81. Calculate i(-25). 81 Let s(b) = b**2 - b + 5. Determine s(-5). 35 Let i(h) = h**2 - 8*h + 8. Give i(11). 41 Let s(i) = -21*i**3 + 2*i**2 + 5. Calculate s(-2). 181 Let l(q) = -q**2 + 15*q - 23. What is l(12)? 13 Let o(c) = -c**2 - 26*c - 154. What is o(-12)? 14 Let y(f) = 19*f - 62. Give y(3). -5 Let h(x) = -2*x + 43. Give h(18). 7 Let j(t) = -2*t**3 + 3*t**2 + 2*t + 2. Calculate j(-2). 26 Let b(d) = -d**3 - 5*d**2 + 6*d - 6. What is b(-6)? -6 Let k(l) = -43*l**2 + 1. Give k(-1). -42 Let d(i) = 6*i**2 - i. Give d(-1). 7 Let i(j) = 2*j + 1. What is i(-4)? -7 Let d(c) = c**3 + 7*c**2 + 13*c - 2. Determine d(-4). -6 Let f(y) = y**3 - 10*y**2 + 6*y + 1. Give f(6). -107 Let w(l) = l**2 + 7*l - 2. What is w(-6)? -8 Let t(p) = 5*p**2 + 3*p - 1. Determine t(-3). 35 Let q(i) = -3*i**2 - 14*i - 5. Give q(-4). 3 Let s(j) = -22*j - 129. Determine s(-4). -41 Let j(p) = -p**2 + 17*p + 29. Give j(19). -9 Let k(x) = x**3 + 9*x**2 - x - 5. Determine k(-8). 67 Let t(h) = -h**2 + 8*h - 13. Determine t(4). 3 Let v(l) = 3*l**2 - 3*l + 1. Determine v(-5). 91 Let d(f) = 2*f**2 - 8*f + 8. Give d(6). 32 Let c(x) = -x**3 - 3*x**2 + 3*x + 4. Give c(-3). -5 Let v(d) = -d**3 + 9*d**2 - 17*d + 28. Give v(7). 7 Let k(v) = -23*v + 499. Give k(22). -7 Let c(f) = f**2 + 3*f + 2. Calculate c(0). 2 Let a(r) = -6*r - 51. Determine a(-17). 51 Let w(q) = q**2 + 11*q - 31. What is w(-14)? 11 Let y(i) = -i**3 + 22*i**2 - 27*i + 8. Determine y(21). -118 Let h(z) = 13*z - 3. Calculate h(0). -3 Let s(u) = -u + 15. Calculate s(18). -3 Let p(i) = -i**3 - 7*i**2 + 14*i + 7. Determine p(-8). -41 Let c(d) = d**3 - 6*d**2 - 2*d - 13. Determine c(6). -25 Let h(j) = 2*j - 37. What is h(-5)? -47 Let p(r) = 3*r - 26. Give p(31). 67 Let u(n) = -15*n + 9. Calculate u(2). -21 Let q(d) = -d**2 + 27*d + 101. What is q(32)? -59 Let b(k) = k**3 + 5*k**2 + 2*k. What is b(-2)? 8 Let q(y) = -2*y**3 - y**2 + 31*y + 31. Calculate q(-1). 1 Let n(b) = -b**2 - 6*b + 14. Give n(-7). 7 Let n(u) = u**2 + 24*u + 92. Determine n(-19). -3 Let y(u) = -u**3 - 3*u**2 + 3*u + 3. What is y(-2)? -7 Let q(d) = -d**3 - 7*d**2 + 10*d + 21. Calculate q(-6). -75 Let k(q) = 3*q**3 - 4*q**2 + 5*q - 19. Determine k(3). 41 Let s(g) = -15*g - 25. What is s(-2)? 5 Let h(q) = q**2 + 6*q - 60. What is h(-11)? -5 Let g(l) = 2*l**2 - 17*l + 5. Determine g(10). 35 Let b(q) = -q**2 - 7*q - 10. Determine b(-3). 2 Let o(q) = 12*q**2 - 2*q + 1. Calculate o(1). 11 Let h(m) = -m**2 - 23*m + 78. Determine h(3). 0 Let g(b) = b**2 - 11*b + 1. What is g(7)? -27 Let p(a) = a**3 - 11*a**2 - 20*a - 78. Determine p(13). 0 Let l(d) = -d**2 + 2*d + 73. What is l(10)? -7 Let n(p) = p**3 - 6*p**2 - 3. Determine n(5). -28 Let r(w) = -w**2 + 3*w - 9. What is r(5)? -19 Let w(t) = -68*t + 111. What is w(2)? -25 Let s(q) = -8*q - 58. What is s(-12)? 38 Let q(a) = 193*a + 582. What is q(-3)? 3 Let l(b) = 2*b + 3. Give l(2). 7 Let z(m) = m**3 - 21*m**2 - m + 21. Calculate z(21). 0 Let j(x) = x**2 + 8*x + 5. Determine j(-5). -10 Let c(b) = -b**2 + 3. Give c(0). 3 Let r(k) = k**2 + 56*k + 34. Calculate r(-56). 34 Let b(d) = d**2 + 3*d - 14. Calculate b(2). -4 Let v(m) = 12*m - 9. Calculate v(-15). -189 Let z(d) = -d + 2. What is z(6)? -4 Let z(d) = d**2 + 4*d - 8. What is z(-5)? -3 Let h(f) = 2*f**2 - f - 2. Calculate h(2). 4 Let s(n) = -n - 9. Calculate s(5). -14 Let c(l) = l**3 + 8*l**2 + 14*l - 5. Determine c(-4). 3 Let i(c) = 5*c + 41. What is i(-7)? 6 Let r(q) = 15*q - 75. What is r(5)? 0 Let f(x) = -x**3 + 20*x**2 + 43*x + 17. Calculate f(22). -5 Let j(m) = -3*m - 6. Calculate j(4). -18 Let x(l) = -l**2 + 11*l - 30. Determine x(5). 0 Let w(b) = -10*b**2 - 6*b - 4. Calculate w(-1). -8 Let c(b) = 4*b - 102. Determine c(19). -26 Let z(l) = l**2 - 17*l + 24. What is z(16)? 8 Let f(p) = p**2 - 11*p + 28. Determine f(8). 4 Let z(n) = n**3 + 6*n**2 + 3*n - 8. Give z(-4). 12 Let v(z) = -z**2 - 2*z - 2. Give v(-4). -10 Let y(a) = 2*a**2 - 48*a + 18. What is y(24)? 18 Let p(l) = -l**3 + 29. Calculate p(0). 29 Let w(h) = -h**3 - 8*h**2 - 13*h. What is w(-3)? -6 Let g(m) = -39*m - 158. Calculate g(-4). -2 Let p(b) = -b**3 + 6*b**2 + 4*b + 1. Give p(6). 25 Let v(t) = -t - 4. Determine v(-5). 1 Let s(u) = -u**2 - 18*u. Determine s(-18). 0 Let k(a) = -37*a + 195. Calculate k(5). 10 Let o(v) = v**2 - 7*v + 4. Determine o(3). -8 Let z(m) = m**3 + 7*m**2 - 28*m + 9. Determine z(-10). -11 Let f(q) = q**2 - 11*q - 19. Calculate f(13). 7 Let x(w) = w**3 + 24*w**2 - 25*w - 7. Calculate x(-25). -7 Let p(m) = m**3 + 9*m**2 - 22*m + 22. Calculate p(-11). 22 Let d(l) = -l**3 + 18*l**2 - 22*l + 35. Calculate d(17). -50 Let p(v) = -v - 3. Determine p(-2). -1 Let m(a) = -a - 16. Calculate m(7). -23 Let j(w) = 4*w**2 + 2*w + 3. Calculate j(-2). 15 Let d(y) = -2*y**2 - 5*y + 12. Determine d(-5). -13 Let f(j) = -j**2 + 7*j + 14. Determine f(9). -4 Let t(o) = -3*o**3 - 44*o**2 - 29*o - 1. Determine t(-14). 13 Let d(c) = -c**3 + c**2 + 2*c + 3. Give d(3). -9 Let d(a) = a**2 - 2*a - 52. Calculate d(7). -17 Let q(h) = h**3 - 16*h**2 - 17*h - 23. Determine q(17). -23 Let g(o) = -3*o + 22. What is g(9)? -5 Let f(m) = m**3 - 2*m**2. Calculate f(1). -1 Let b(i) = 3*i + 42. Calculate b(-15). -3 Let m(r) = 37*r**2 + 5*r - 4. Give m(1). 38 Let g(a) = -a**3 + 4. Determine g(-2). 12 Let c(h) = -h**3 - 7*h**2 + 4*h - 3. Calculate c(-8). 29 Let w(s) = s**2 - 17*s - 43. Calculate w(19). -5 Let q(a) = 3*a + 5. Determine q(-7). -16 Let j(b) = b**2 - b + 11. Give j(0). 11 Let l(f) = -8*f - 1. Calculate l(-1).
{ "pile_set_name": "DM Mathematics" }
ment from {z: 2, o: 1, x: 2, y: 6}. Give prob of picking 2 x and 1 y. 2/55 Calculate prob of picking 1 u and 1 h when two letters picked without replacement from uhuaehuhuwecuuecuu. 8/51 Two letters picked without replacement from eysgyvsyyyvyues. Give prob of picking 1 e and 1 s. 2/35 Four letters picked without replacement from koooook. What is prob of picking 4 o? 1/7 Two letters picked without replacement from {l: 2, r: 7, u: 5}. What is prob of picking 1 l and 1 r? 2/13 What is prob of picking 1 z and 3 p when four letters picked without replacement from pppppzppzppppzpppp? 91/204 Calculate prob of picking 1 t and 2 u when three letters picked without replacement from uexvutxh. 1/56 Four letters picked without replacement from {j: 2, h: 4, t: 4}. What is prob of picking 2 h and 2 j? 1/35 Two letters picked without replacement from stkfwwftfttffff. Give prob of picking 1 f and 1 k. 1/15 What is prob of picking 1 h, 1 g, and 1 v when three letters picked without replacement from tbthvfgv? 1/28 Three letters picked without replacement from lzdzlizlnzwz. Give prob of picking 1 d, 1 n, and 1 w. 1/220 Three letters picked without replacement from bbbvjvjvvvjvjjbjjjj. Give prob of picking 2 b and 1 j. 18/323 Calculate prob of picking 3 t when three letters picked without replacement from {t: 8, c: 4, m: 1}. 28/143 Three letters picked without replacement from {i: 4, c: 5, v: 1}. What is prob of picking 3 i? 1/30 What is prob of picking 1 h and 2 p when three letters picked without replacement from hhpp? 1/2 Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {q: 1, l: 1, i: 4, t: 2, g: 7}. 4/105 Three letters picked without replacement from udtmhzduduuuu. What is prob of picking 1 m, 1 d, and 1 z? 3/286 Two letters picked without replacement from {l: 6, u: 1, f: 4, q: 3}. What is prob of picking 1 l and 1 u? 6/91 Calculate prob of picking 1 u and 2 p when three letters picked without replacement from uuuuupuu. 0 Two letters picked without replacement from kggggigggkkxuukg. What is prob of picking 1 k and 1 u? 1/15 Two letters picked without replacement from {q: 3, a: 1}. Give prob of picking 1 q and 1 a. 1/2 What is prob of picking 1 t and 3 f when four letters picked without replacement from {t: 1, f: 7, z: 6}? 5/143 What is prob of picking 2 j when two letters picked without replacement from mjooggjhohhopoohgo? 1/153 Three letters picked without replacement from oyooohzzozhyo. What is prob of picking 2 z and 1 h? 3/143 What is prob of picking 1 v, 2 e, and 1 c when four letters picked without replacement from {v: 1, q: 4, c: 3, e: 10}? 3/68 What is prob of picking 1 g, 1 o, and 2 d when four letters picked without replacement from ddsoosgsssogsds? 6/455 Four letters picked without replacement from llvlmliliml. Give prob of picking 1 l, 2 m, and 1 i. 2/55 Two letters picked without replacement from ppppmtttmtstshpj. Give prob of picking 1 p and 1 m. 1/12 Calculate prob of picking 1 q, 2 o, and 1 s when four letters picked without replacement from {f: 3, q: 4, o: 6, v: 4, s: 2, j: 1}. 8/323 Calculate prob of picking 1 y, 1 g, 1 j, and 1 l when four letters picked without replacement from cljgrgy. 2/35 Calculate prob of picking 2 x when two letters picked without replacement from qxxxxxxqqx. 7/15 Calculate prob of picking 3 d and 1 e when four letters picked without replacement from eedddeedeede. 14/99 Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {e: 2, u: 4, j: 5, g: 1, p: 2}. 20/91 Three letters picked without replacement from {g: 12, o: 7}. Give prob of picking 2 o and 1 g. 84/323 What is prob of picking 1 a and 1 p when two letters picked without replacement from {a: 1, v: 3, p: 4, w: 1, k: 2}? 4/55 Calculate prob of picking 1 r, 1 a, and 1 q when three letters picked without replacement from rrqjwfja. 1/28 Calculate prob of picking 3 l and 1 j when four letters picked without replacement from {l: 16, j: 2}. 56/153 What is prob of picking 1 v, 1 j, and 1 n when three letters picked without replacement from {n: 1, v: 3, j: 2, s: 6}? 3/110 Two letters picked without replacement from xlaxalaal. Give prob of picking 2 l. 1/12 Three letters picked without replacement from qqqddqdq. Give prob of picking 3 q. 5/28 What is prob of picking 1 g and 1 h when two letters picked without replacement from chcg? 1/6 Three letters picked without replacement from bvvbvbbvbbb. Give prob of picking 2 b and 1 v. 28/55 What is prob of picking 2 r when two letters picked without replacement from cirpckp? 0 Four letters picked without replacement from {z: 1, c: 1, b: 2}. What is prob of picking 2 z and 2 b? 0 Calculate prob of picking 2 w when two letters picked without replacement from {w: 14, m: 1}. 13/15 Calculate prob of picking 1 f, 1 z, and 1 p when three letters picked without replacement from cpfitciczcii. 1/220 What is prob of picking 4 j when four letters picked without replacement from {j: 5}? 1 What is prob of picking 2 u and 2 a when four letters picked without replacement from uuaunnnnnuau? 2/99 Calculate prob of picking 2 d and 1 v when three letters picked without replacement from szsssvdvfd. 1/60 What is prob of picking 2 w and 1 e when three letters picked without replacement from {s: 2, e: 3, w: 9, j: 3}? 27/170 What is prob of picking 3 d when three letters picked without replacement from dpdddadpdddldpp? 12/65 Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 5, w: 2, m: 3, t: 3}. 5/39 Calculate prob of picking 2 r when two letters picked without replacement from uhuhuhuurhhuurhur. 3/136 What is prob of picking 1 f, 1 s, 1 e, and 1 x when four letters picked without replacement from {e: 2, k: 1, f: 1, s: 2, x: 1}? 4/35 What is prob of picking 1 g and 1 y when two letters picked without replacement from {r: 2, y: 8, g: 2, z: 2, k: 1}? 16/105 Calculate prob of picking 1 s and 1 t when two letters picked without replacement from jmmttjjjmjsjmjmmjjm. 2/171 Calculate prob of picking 1 u and 1 j when two letters picked without replacement from uujguujuj. 5/12 Calculate prob of picking 1 y, 1 o, and 1 b when three letters picked without replacement from {y: 4, b: 1, t: 2, o: 7}. 1/13 What is prob of picking 3 d and 1 p when four letters picked without replacement from bbdjdpqddd? 1/21 What is prob of picking 1 v and 2 s when three letters picked without replacement from {f: 5, e: 1, g: 8, v: 1, s: 2}? 1/680 Calculate prob of picking 2 o when two letters picked without replacement from ooooo. 1 What is prob of picking 1 i and 2 x when three letters picked without replacement from fqiofqqrfiirrxffxx? 3/272 Three letters picked without replacement from {z: 5, n: 3, u: 3, e: 2}. What is prob of picking 1 n and 2 e? 3/286 Two letters picked without replacement from {t: 2, o: 5, b: 3}. Give prob of picking 1 t and 1 o. 2/9 Three letters picked without replacement from {z: 7, q: 2, h: 1, x: 5, c: 1}. Give prob of picking 2 q and 1 h. 1/560 Calculate prob of picking 2 u and 2 m when four letters picked without replacement from {m: 4, u: 16}. 48/323 Three letters picked without replacement from ppchcpbpzpcph. What is prob of picking 1 h, 1 c, and 1 b? 3/143 Four letters picked without replacement from ssssisiisss. What is prob of picking 4 s? 7/33 Two letters picked without replacement from svvsvssvvvvvsssvsvss. What is prob of picking 1 s and 1 v? 10/19 Calculate prob of picking 2 z and 2 k when four letters picked without replacement from hhkzhzozkc. 1/70 Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {n: 1, s: 1, t: 1, m: 2}. 1/5 Calculate prob of picking 4 r when four letters picked without replacement from nrrorrrrrrnrnrorr. 99/476 Three letters picked without replacement from wwwnmtn. Give prob of picking 1 m and 2 n. 1/35 Three letters picked without replacement from pxpwwpwx. What is prob of picking 2 x and 1 w? 3/56 Four letters picked without replacement from {v: 6, q: 4, z: 4}. What is prob of picking 4 q? 1/1001 What is prob of picking 1 p, 1 z, and 1 j when three letters picked without replacement from ojzdpjzd? 1/14 What is prob of picking 2 h when two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
th term of -5284, -10565, -15846, -21127? -5281*o - 3 What is the n'th term of 62556, 125131, 187706, 250281, 312856, 375431? 62575*n - 19 What is the l'th term of -22721, -45397, -68043, -90653, -113221, -135741, -158207? l**3 + 9*l**2 - 22710*l - 21 What is the c'th term of 4118, 3800, 3262, 2498, 1502, 268? -c**3 - 104*c**2 + c + 4222 What is the a'th term of 6053, 12152, 18293, 24476? 21*a**2 + 6036*a - 4 What is the g'th term of 63, 107, 151, 195, 239, 283? 44*g + 19 What is the h'th term of 25813, 25811, 25809, 25807, 25805? -2*h + 25815 What is the s'th term of 115, 236, 347, 448, 539? -5*s**2 + 136*s - 16 What is the b'th term of -82, -262, -554, -958, -1474, -2102, -2842? -56*b**2 - 12*b - 14 What is the w'th term of 5708, 5483, 5258? -225*w + 5933 What is the s'th term of 271526, 271525, 271524, 271523, 271522? -s + 271527 What is the l'th term of -4146, -3459, -2786, -2133, -1506, -911, -354, 159? -l**3 - l**2 + 697*l - 4841 What is the n'th term of 2883, 2851, 2797, 2721, 2623? -11*n**2 + n + 2893 What is the b'th term of 135, 276, 621, 1260, 2283, 3780, 5841, 8556? 15*b**3 + 12*b**2 + 108 What is the s'th term of -102, -123, -202, -375, -678, -1147? -6*s**3 + 7*s**2 - 103 What is the n'th term of -2444, -4760, -7076, -9392, -11708? -2316*n - 128 What is the a'th term of 56060, 56115, 56170, 56225? 55*a + 56005 What is the b'th term of -21598505, -21598506, -21598507, -21598508? -b - 21598504 What is the t'th term of 144, 574, 1286, 2280, 3556, 5114? 141*t**2 + 7*t - 4 What is the z'th term of -26446, -26442, -26438, -26434, -26430? 4*z - 26450 What is the t'th term of -1, -22, -43, -64, -85? -21*t + 20 What is the m'th term of -31751, -63492, -95219, -126926, -158607, -190256, -221867, -253434? m**3 + m**2 - 31751*m - 2 What is the w'th term of 49550, 99102, 148654? 49552*w - 2 What is the n'th term of -2247, -2251, -2267, -2301, -2359, -2447, -2571, -2737? -n**3 + 3*n - 2249 What is the c'th term of 2891, 2905, 2929, 2963? 5*c**2 - c + 2887 What is the z'th term of 665, 626, 551, 434, 269? -z**3 - 12*z**2 + 4*z + 674 What is the f'th term of 102, 100, 48, -72, -278, -588, -1020, -1592? -3*f**3 - 7*f**2 + 40*f + 72 What is the g'th term of 415367, 415361, 415351, 415337, 415319, 415297? -2*g**2 + 415369 What is the x'th term of -375, -3349, -11421, -27141, -53059, -91725, -145689? -425*x**3 + x**2 - 2*x + 51 What is the w'th term of -40454, -80910, -121368, -161828, -202290? -w**2 - 40453*w What is the i'th term of 23815, 23836, 23877, 23944, 24043, 24180, 24361, 24592? i**3 + 4*i**2 + 2*i + 23808 What is the f'th term of -16372, -32730, -49084, -65434? 2*f**2 - 16364*f - 10 What is the b'th term of -23855, -23805, -23755? 50*b - 23905 What is the u'th term of 621, 2152, 4703, 8274? 510*u**2 + u + 110 What is the x'th term of 725, 1361, 1995, 2627? -x**2 + 639*x + 87 What is the r'th term of 2188, 4467, 6756, 9061, 11388, 13743, 16132, 18561? r**3 - r**2 + 2275*r - 87 What is the o'th term of 46156, 46193, 46230, 46267, 46304? 37*o + 46119 What is the a'th term of 15, 27, 39, 51, 63, 75? 12*a + 3 What is the n'th term of 133, 444, 961, 1684, 2613, 3748, 5089? 103*n**2 + 2*n + 28 What is the z'th term of 2484, 2416, 2322, 2202, 2056, 1884? -13*z**2 - 29*z + 2526 What is the i'th term of 2708982, 2708983, 2708984, 2708985, 2708986, 2708987? i + 2708981 What is the u'th term of 6759, 13544, 20319, 27078, 33815? -u**3 + u**2 + 6789*u - 30 What is the v'th term of -3682, -7438, -11194, -14950, -18706? -3756*v + 74 What is the x'th term of 1690029, 1690028, 1690027? -x + 1690030 What is the n'th term of 279389, 279383, 279373, 279359, 279341, 279319, 279293? -2*n**2 + 279391 What is the v'th term of 48, 269, 636, 1149, 1808, 2613? 73*v**2 + 2*v - 27 What is the d'th term of -53, 18, 89, 160, 231? 71*d - 124 What is the v'th term of -423, -836, -1251, -1674, -2111, -2568, -3051? -v**3 + 5*v**2 - 421*v - 6 What is the y'th term of 1251, 2475, 3677, 4851, 5991, 7091? -y**3 - 5*y**2 + 1246*y + 11 What is the n'th term of -5596, -5600, -5608, -5620, -5636, -5656? -2*n**2 + 2*n - 5596 What is the s'th term of -194340, -388680, -583020, -777360, -971700? -194340*s What is the y'th term of 398, 995, 1592, 2189, 2786? 597*y - 199 What is the a'th term of -524, -429, -108, 553, 1668, 3351, 5716? 19*a**3 - a**2 - 35*a - 507 What is the q'th term of -1091, -2178, -3259, -4334, -5403, -6466? 3*q**2 - 1096*q + 2 What is the o'th term of 750943, 750941, 750939, 750937, 750935? -2*o + 750945 What is the l'th term of 293, 228, 113, -58, -291? -l**3 - 19*l**2 - l + 314 What is the q'th term of -193629, -193627, -193625, -193623, -193621? 2*q - 193631 What is the r'th term of 3400, 3359, 3250, 3037, 2684, 2155, 1414? -6*r**3 + 2*r**2 - 5*r + 3409 What is the p'th term of -3368, -3367, -3364, -3359, -3352, -3343, -3332? p**2 - 2*p - 3367 What is the u'th term of 1549, 12693, 42969, 101953, 199221, 344349? 1596*u**3 - 10*u**2 + 2*u - 39 What is the j'th term of 2019, 4038, 6057? 2019*j What is the z'th term of 6030, 6033, 6026, 6003, 5958, 5885, 5778, 5631? -z**3 + z**2 + 7*z + 6023 What is the a'th term of 107, 451, 1029, 1841, 2887, 4167, 5681? 117*a**2 - 7*a - 3 What is the o'th term of -471, -428, -385? 43*o - 514 What is the s'th term of -395, -809, -1223, -1637, -2051? -414*s + 19 What is the p'th term of 57, 407, 991, 1809, 2861? 117*p**2 - p - 59 What is the t'th term of 601, 2376, 5321, 9436, 14721, 21176? 585*t**2 + 20*t - 4 What is the w'th term of -43, -207, -467, -817, -1251, -1763? w**3 - 54*w**2 - 9*w + 19 What is the f'th term of -4328, -17301, -38914, -69161, -108036, -155533, -211646? f**3 - 4326*f**2 - 2*f - 1 What is the f'th term of 25, 75, 171, 337, 597, 975? 4*f**3 - f**2 + 25*f - 3 What is the g'th term of 78766, 157532, 236298, 315064, 393830, 472596? 78766*g What is the m'th term of 59587, 119173, 178759, 238345? 59586*m + 1 What is the k'th term of -408402, -816804, -1225206, -1633608, -2042010, -2450412? -408402*k What is the l'th term of -1889, -3762, -5635, -7508, -9381, -11254? -1873*l - 16 What is the j'th term of 2910, 3001, 3092, 3183? 91*j + 2819 What is the z'th term of -7602, -7619, -7636? -17*z - 7585 What is the s'th term of 539, 547, 569, 611, 679? s**3 + s**2 - 2*s + 539 What is the o'th term of 26170, 52416, 78662, 104908, 131154, 157400? 26246*o - 76 What is the l'th term of -94646, -94694, -94760, -94850, -94970, -95126? -l**3 - 3*l**2 - 32*l - 94610 What is the z'th term of -17563, -35138, -52733, -70348? -10*z**2 - 17545*z - 8 What is the t'th term of -432, -930, -1486, -2094, -2748, -3442, -4170, -4926? t**3 - 35*t**2 - 400*t + 2 What is the q'th term of -673, -511, -341, -157, 47, 277, 539, 839? q**3 - 2*q**2 + 161*q - 833 What is the n'th term of -2889, -6099, -9283, -12429, -15525? 2*n**3 + n**2 - 3227*n + 335 What is the k'th term of 657, 1314, 1949, 2550, 3105? -2*k**3 + k**2 + 668*k - 10 What is the i'th term of -7531, -15090, -22649, -30208, -37767, -45326? -7559*i + 28 What is the o'th term of -3931, -3937, -3943, -3949, -3955, -3961? -6*o - 3925 What is the d'th term of -551, -803, -1055, -1307, -1559, -1811? -252*d - 299 What is the u'th term of 818, 1642, 2466, 3290, 4114? 824*u - 6 What is the l'th term of 1566, 3152, 4738? 1586*l - 20 What is the f'th term of -442, -728, -1014, -1300? -286*f - 156 What is the u'th term of 419495, 419478, 419451, 419408, 419343, 419250, 419123, 418956? -u**3 + u**2 - 13*u + 419508 What is the z'th term of 3957, 4001, 4095, 4257, 4505, 4857, 5331? 3*z**3 + 7*z**2 + 2*z + 3945 What is the o'th term of 35710, 35714, 35720, 35728, 35738, 35750, 35764? o**2 + o + 35708 What is the t'th term of -1880, -1899, -1972, -2129, -2400, -2815, -3404? -5*t**3 + 3*t**2 + 7*t - 1885 What is the t'th term of 57, 206, 445, 774, 1193, 1702? 45*t**2 + 14*t - 2 What is the r'th term of 730, 740, 738, 712, 650? -2*r**3 + 6*r**2 + 6*r + 720 What is the d'th term of 1598, 1351, 1104? -247*d + 1845 What is the m'th term of 28, 78, 186, 352, 576, 858? 29*m**2 - 37*m + 36 What is the v'th term of -274, -196, -118, -40? 78*v - 352 What is the d'th term of 6414, 12833, 19238, 25623, 31982? -d**3 - d**2 + 6429*d - 13 What is the x'th term of -34, -31, -12, 23, 74, 141? 8*x**2 - 21*x - 21 Wha
{ "pile_set_name": "DM Mathematics" }
i) = -4*i. Calculate q(p(g)). 96*g**2 Let c(i) = 3*i**2. Let z(y) be the second derivative of 0*y**2 + 1/6*y**3 - 6*y + 0. Calculate c(z(x)). 3*x**2 Let v(l) = 2*l**2. Let p(h) = -725*h. Give v(p(d)). 1051250*d**2 Let y(k) = -40*k - 2. Let x(c) = -c**2. Give y(x(h)). 40*h**2 - 2 Let j(z) = 2*z. Let v(n) = 18*n**2 - 5*n. What is j(v(a))? 36*a**2 - 10*a Let p(g) = -2*g**2. Let m(l) = -1314*l. What is p(m(u))? -3453192*u**2 Let n(w) = -w**2. Let b(f) be the first derivative of -f**3/3 - 5. What is n(b(s))? -s**4 Let j = 37 + -11. Suppose -4*p = 12, 4*p = 5*k - 6 - j. Let r(s) = -4 + k - 3*s**2 + 0. Let d(y) = -y**2. What is r(d(w))? -3*w**4 Let m(w) = w**2 - 22*w + 22*w. Let z(o) = -10*o**2. Determine z(m(r)). -10*r**4 Let c(q) = 374*q. Let s(n) = n**2. Determine c(s(y)). 374*y**2 Let u(d) = -3*d + 4*d + d. Let n(m) = 4 - m - 6 + 2. Calculate u(n(y)). -2*y Let l(f) = 0*f + 6 - f - 6. Let g(q) = 7*q**2. Give l(g(o)). -7*o**2 Let w(f) be the second derivative of 2*f**4/3 + 9*f. Let h(l) = -l**2. Calculate h(w(d)). -64*d**4 Let x(v) = 2*v. Let s(o) be the third derivative of o**4/2 + 6*o**2. What is x(s(t))? 24*t Let j(m) = m. Let i(l) be the third derivative of -1/8*l**4 + 0*l**3 + 0 + 0*l - 4*l**2. Determine i(j(x)). -3*x Let o(a) be the first derivative of 0*a + 1/2*a**2 - 2. Let r(c) = 3*c**2. Calculate o(r(w)). 3*w**2 Let v(l) = 821*l. Let r(u) = -13*u**2. What is v(r(z))? -10673*z**2 Let j(q) be the first derivative of 3*q**2/2 - 8. Let h(c) = -4*c**2. Calculate h(j(o)). -36*o**2 Let k(s) = s + 84. Let y(p) = 34*p**2. Calculate k(y(w)). 34*w**2 + 84 Let t(f) = -5*f. Let n(m) = 14*m. Let u(a) = 4*n(a) + 14*t(a). Let k(v) = -2*v**2. Give k(u(w)). -392*w**2 Let t(d) be the second derivative of d**6/180 + d**3/6 + d. Let w(x) be the second derivative of t(x). Let h(i) = -i**2. Determine w(h(z)). 2*z**4 Let q(z) be the second derivative of 0 + 0*z**2 + 4*z - 1/12*z**4 + 0*z**3. Let d(i) = -2*i**2. Determine d(q(p)). -2*p**4 Let j(z) = 4*z. Let u(s) = -s**2 + 7*s - 6. Let v be ((-12)/(-2))/((-3)/(-2)). Let b be u(v). Let x(a) = b + a - 6. Give j(x(n)). 4*n Let w(r) = -r. Let n = 41/4 - 39/4. Let a(v) be the first derivative of -2 + n*v**2 + 0*v. Give a(w(o)). -o Let r(u) be the third derivative of -u**4/12 + u**2. Let y(m) = -4*m + 4*m + 2*m + 4*m - 5. Let f(x) = x - 1. Let v(q) = -5*f(q) + y(q). Calculate r(v(a)). -2*a Suppose 5*r + 4 - 9 = 0. Let f(v) = 3 - 2 - 3*v - r. Let q(k) = 0*k - k**2 + 0*k. Calculate q(f(d)). -9*d**2 Let u(o) = 0*o**2 + 10*o**2 - o**2. Let w(a) = a**2. What is u(w(i))? 9*i**4 Let o(v) be the first derivative of v**3/3 + 3*v + 2. Let u(w) = -2. Let p(i) = 2*o(i) + 3*u(i). Let y(f) = -2*f. Determine y(p(x)). -4*x**2 Let b(i) be the third derivative of 1/120*i**5 + 3*i**2 + 1/3*i**3 + 0*i**4 + 0 + 0*i. Let w(r) be the first derivative of b(r). Let m(u) = u. Give m(w(q)). q Let p(a) = 12*a + 10. Let l(s) = -s - 1. Let y(j) = -10*l(j) - p(j). Let k(t) = -t. Give y(k(r)). 2*r Let b(z) be the third derivative of 0*z + 1/60*z**5 + 0 + 4*z**2 + 0*z**3 + 0*z**4. Let t(s) = 4*s**2. Determine t(b(k)). 4*k**4 Let p(s) = -162*s - 2. Let j(y) = -2*y**2. What is j(p(k))? -52488*k**2 - 1296*k - 8 Let u(n) = -n**2. Let b(k) = k**2 - 2*k - 2. Suppose -4*t + 12 = 4. Let a(r) = 3*r + 3. Let m(v) = t*a(v) + 3*b(v). What is u(m(q))? -9*q**4 Suppose 0 = 2*b + b - 6. Let t(a) = -a**2 + b*a**2 - 3*a**2. Let k(f) = 0*f + 0*f - 6*f + 3*f. Give k(t(h)). 6*h**2 Let y(s) = 3*s**2. Let c(w) = -4*w**2. Let b(p) = -5*p**2. Let a(q) = 2*b(q) - 3*c(q). Give y(a(h)). 12*h**4 Let y(z) = -3*z + z + 2*z + 2*z**2. Let x(t) = -t**2 - 2*t + 2*t. Calculate y(x(v)). 2*v**4 Let g(t) = -4*t**2. Let s(i) be the second derivative of 0*i**2 + i + 0*i**3 - 1/6*i**4 + 0. Calculate g(s(l)). -16*l**4 Let y(p) = -17*p. Let h(k) = 4*k. Calculate h(y(z)). -68*z Let k(n) be the second derivative of -5*n**4/12 - 4*n. Let y(h) = -3*h**2. Give y(k(i)). -75*i**4 Let z be (-18)/(-2)*2/6. Let w(p) = -4*p - z*p + 5*p. Let i(u) = -u**2 + u - 1. Let b(c) = 5*c**2 - 4*c + 4. Let h(o) = -b(o) - 4*i(o). Give h(w(a)). -4*a**2 Let q(i) be the second derivative of -1/6*i**3 + 0 + 0*i**2 - 2*i. Let s(h) be the third derivative of -h**4/24 + 2*h**2. What is q(s(l))? l Let h(l) = -7*l + 3. Let k(v) = 125*v - 55. Let w(d) = 110*h(d) + 6*k(d). Let y(m) = 2*m**2. Calculate y(w(i)). 800*i**2 Let f(u) = u**2. Let o(r) = -270*r + 19. What is f(o(l))? 72900*l**2 - 10260*l + 361 Let k(c) be the third derivative of -11*c**5/60 + 10*c**2. Let q(d) = -2*d. Determine k(q(l)). -44*l**2 Let a(u) = 4*u - 2. Let r(p) = -p + 1. Let j(d) = 4*a(d) + 8*r(d). Let g(k) = k**2. What is j(g(v))? 8*v**2 Let d(s) = -4*s**2. Let c(y) = -460*y**2. Give c(d(t)). -7360*t**4 Let u(x) = -x + 19 - 19 - 2*x. Let g(c) = 2*c. What is g(u(n))? -6*n Let s(n) = -n**2 - 2. Let q(f) = 3*f**2 + 7. Suppose -2*a + 0 + 6 = 0. Suppose -a*i = i - 28. Let h(m) = i*s(m) + 2*q(m). Let r(c) = 2*c**2. Give h(r(p)). -4*p**4 Let r(u) = -65*u. Let d(s) = -22*s + 3. Calculate d(r(w)). 1430*w + 3 Let z(c) = 2*c**2. Let o(r) = -6*r**2 + 3. Let u(n) = 30*n**2 - 14. Suppose -4*k = 3*p + 42, 0*k + 28 = -2*p - 2*k. Let a(d) = p*o(d) - 3*u(d). Give a(z(b)). -24*b**4 Let o(d) = -d**2. Let y(f) be the first derivative of -11*f**3 + 24. Determine o(y(m)). -1089*m**4 Let z(f) = -2*f. Let u(o) = 344*o**2. What is z(u(h))? -688*h**2 Let v(z) = 2*z. Let b(t) = 3*t**2 + 4*t - 4. Let f(i) = -5*i**2 - 7*i + 7. Let g(q) = 7*b(q) + 4*f(q). Calculate g(v(u)). 4*u**2 Let r(n) = 4*n - 10. Let k(d) = -3*d**2. Determine r(k(q)). -12*q**2 - 10 Let p(j) = -6*j**2. Let k(t) = 5*t - 9. What is p(k(s))? -150*s**2 + 540*s - 486 Let r(i) = 5*i**2. Let y(w) = 5*w + 3 - 6*w - 3. Give r(y(n)). 5*n**2 Let b(f) = 2*f**2 + 0*f + 0*f. Let x(j) = 51*j**2 + 55*j**2 - 104*j**2. Determine x(b(k)). 8*k**4 Let x(v) = 3*v**2 - 2*v. Let j(u) = 19*u**2 - 13*u. Let b(q) = -6*j(q) + 39*x(q). Let n(c) be the second derivative of -c**3/6 - c. Give b(n(i)). 3*i**2 Let x(l) = 2*l**2 + 3*l. Let p(w) = -4*w**2 - 23. Give x(p(q)). 32*q**4 + 356*q**2 + 989 Let m(o) = 423*o. Let h(k) = 4*k**2 + 1. What is h(m(g))? 715716*g**2 + 1 Let b(n) = 3*n. Let a(f) be the third derivative of f**5/12 - 2*f**2 + f. Determine a(b(d)). 45*d**2 Let w(k) = -79*k**2. Let h(r) = -r. Determine h(w(v)). 79*v**2 Let n(i) = 6*i**2 + 2*i + 2. Let r(m) = -78*m**2 - 27*m - 27. Let f(a) = -27*n(a) - 2*r(a). Let k(j) = 2*j. Calculate k(f(g)). -12*g**2 Let i(t) = 2*t**2. Let j(x) = -1984*x. What is j(i(g))? -3968*g**2 Let z(y) be the third derivative of y**5/30 - 4*y**2. Let l(s) = -9*s. Calculate z(l(u)). 162*u**2 Let y(i) be the third derivative of 0 + 0*i**3 + 1/6*i**4 + 0*i + i**2. Let g(r) = 4*r**2. Give g(y(z)). 64*z**2 Let y(a) = 25*a**2 - a. Let l(c) = 118*c**2. Determine y(l(r)). 348100*r**4 - 118*r**2 Let m(d) = -10*d. Let b(l) = -8*l**2. Determine m(b(w)). 80*w**2 Let k(y) = 2*y**2. Let g(o) be the third derivative of o**5/15 - 7*o**2. Determine g(k(q)). 16*q**4 Let m(o) = 2*o**2. Let u(q) = -68*q**2. Calculate m(u(j)). 9248*j**4 Let w(f) = f. Let d(z) = 42*z**2. Calculate d(w(k)). 42*k**2 Let c(i) = 39*i**2 - 27*i. Let r(g) = 3*g**2 - 2*g. Let n(y) = 2*c(y) - 27*r(y). Let z(a) be the third derivative of -a**5/15 + 5*a**2. Calculate z(n(d)). -36*d**4 Let k(b) = -23*b**2. Let a(f) = f - 6. Let t(n) = 1. Let u(s) = -a(s) - 6*t(s). What is k(u(o))? -23*o**2 Let j(z) = -63*z - 21. Let w(d) = 16*d + 5. Let r(p) = -5*j(p) - 21*w(p). Let q(u) = -u**2. What is r(q(k))? 21*k**2 Let k(c) be the first derivative of -c**2/2 + 19. Let w(f) = 3*f**2. Calculate k(w(v)). -3*v**2 Let j(t) = -t + 26 - t - 26. Let c(y) be the third derivative of 5*y**4/24 - 4*y**2. Determine c(j(a)). -10*a Let q(f) = -4*f**2 - 202*f. Let d(h) = -2*h**2. Determine q(d(v)). -16*v**4 + 404*v**2 Let w(x) = x**2 - 4*x. Let m(a) = a. Let f(o) = 4*m(o) + w(o). Suppose -1 = 3*s - 4. Let c(k) = 1 - s + k. Determine c(f(z)). z**2 Let m(d) = -4*d**2. Let u(x) = -8*x - 5. Let a be u(-4). Let c(f) = 2*f + 3*f - 16 + a. Let w(t) = -t - 2. Let l(s) = -2*c(s) - 11*w(s). Calculate m(l(o)). -4*o**2 Let v(u) = -15*u**2 + 13*u + 13. Let n(q) = 7*q**2 - 6*q - 6. Let d(w) = 13*n(w) + 6*v(w). Let g(k) = 2*k. Determine d(g(i)). 4*i**2 Let p(o) = 22*o**2. Let a(z) = -27*z**2. Calcu
{ "pile_set_name": "DM Mathematics" }
-m - 1 Collect the terms in 7 - n**2 + 9*n - 8*n - n. -n**2 + 7 Collect the terms in -3 + 6 - 7*r**2 - 2. -7*r**2 + 1 Collect the terms in -17*o + 10*o + 1 - 1. -7*o Collect the terms in -65*k + 98*k - 57*k. -24*k Collect the terms in 6*k - 17*k**3 - 6*k. -17*k**3 Collect the terms in 9*q**2 - 2*q**2 + 3*q**2. 10*q**2 Collect the terms in 3*w + 1 - 4*w**2 - 3*w - 19. -4*w**2 - 18 Collect the terms in -84*l**2 + 30*l**2 + 58*l**2. 4*l**2 Collect the terms in -164*j - 295*j - 10*j + 25*j. -444*j Collect the terms in 119*d**3 + 120*d**3 - 367*d**3 + 127*d**3. -d**3 Collect the terms in 0*k + k + 0*k + 2*k. 3*k Collect the terms in 553*r - 553*r - 1611*r**3 + 1608*r**3. -3*r**3 Collect the terms in 84*r**2 + 45*r**2 - 38*r**2. 91*r**2 Collect the terms in 41*k - 14*k + 34*k. 61*k Collect the terms in -2336*k + 2336*k + 18*k**2. 18*k**2 Collect the terms in 2*o - 5*o + 3*o - 2*o + 5*o. 3*o Collect the terms in -1 + 61*x - 3*x + 3. 58*x + 2 Collect the terms in 3 + 0*o + 15*o - 1 + 0. 15*o + 2 Collect the terms in -4*n**2 + 4*n**2 - 228*n**3 + 234*n**3. 6*n**3 Collect the terms in 29*n + 3*n**3 - 29*n - 6*n**3. -3*n**3 Collect the terms in -2*t + 27 + 135 - 3. -2*t + 159 Collect the terms in 16*p**3 + 15*p**3 - 4 - 33*p**3 + 4. -2*p**3 Collect the terms in 0*w - w + 3*w. 2*w Collect the terms in 30*n**3 + 3 + 9 - 12. 30*n**3 Collect the terms in 4*g + 17*g**3 - 6*g + 2*g. 17*g**3 Collect the terms in 4 + 6 - 1 + 23*r - 7. 23*r + 2 Collect the terms in -342 - 2*a**2 + 693 - 351. -2*a**2 Collect the terms in 81*t + 82*t - 166*t. -3*t Collect the terms in -2*c**2 + 5*c + 2*c**2 - 55*c**3. -55*c**3 + 5*c Collect the terms in -44*a + 6*a + 793 - 793. -38*a Collect the terms in 16*t**2 - 2*t + 1 - 5*t**2 + 2*t. 11*t**2 + 1 Collect the terms in -12*k**2 - 24*k**2 + k**2 - 45*k**2. -80*k**2 Collect the terms in 2*s**3 + 0*s - 15*s**3 - 16*s**3 + s. -29*s**3 + s Collect the terms in -37 + 2*y**2 + 16 + 21. 2*y**2 Collect the terms in 27*k**2 + 426*k - 31*k**2 - 426*k. -4*k**2 Collect the terms in -4*u**3 + 8*u**3 - u**3. 3*u**3 Collect the terms in 119*s + 78*s**2 - 119*s + s**3. s**3 + 78*s**2 Collect the terms in 34*b + 33*b - 61*b. 6*b Collect the terms in -3*u + 14047 + 5*u - 14047. 2*u Collect the terms in -19*p**3 - 33*p**3 + 42*p**3. -10*p**3 Collect the terms in 24209 + 2*m**3 - 24209. 2*m**3 Collect the terms in a**3 - 67*a - 243 + 243. a**3 - 67*a Collect the terms in -56*k**3 + 109*k**3 - 50*k**3. 3*k**3 Collect the terms in 4*x**3 - 3*x**3 + 0*x**3 + 2*x**2 - 4*x**3. -3*x**3 + 2*x**2 Collect the terms in 0*u - 40*u**2 + 252*u**2 + 0*u. 212*u**2 Collect the terms in -91*s**3 - 72*s**3 + 130*s**3. -33*s**3 Collect the terms in 6*t**2 - 3*t**2 - 3*t**2 + 5*t**2 - 19*t. 5*t**2 - 19*t Collect the terms in -4*c - 4*c + 2*c + 7*c + c. 2*c Collect the terms in -14*l + 4*l + 3*l + 4*l - l. -4*l Collect the terms in 5 - 10*w - 7*w - 5. -17*w Collect the terms in -5*a**2 - 9*a**2 - 8*a**2 + 2*a. -22*a**2 + 2*a Collect the terms in -30*f**2 + 15*f**2 + 14*f**2. -f**2 Collect the terms in 127510*x - 6*x**2 - 2 + 2 - 127510*x. -6*x**2 Collect the terms in 2 + 4 - 7*y - 6. -7*y Collect the terms in -14681165*g - 3*g**2 + 14681165*g. -3*g**2 Collect the terms in 250*s**3 - 3*s**2 - s**2 + 4*s**2. 250*s**3 Collect the terms in -1315497 + 1315497 + 2*t**3. 2*t**3 Collect the terms in -16*d**2 + 37*d**2 - 22*d**2. -d**2 Collect the terms in 54*u - 27*u - 23*u. 4*u Collect the terms in c**3 + c**3 - 6*c**3 + 2*c**3 + 5*c**3. 3*c**3 Collect the terms in -4*k + 2*k**3 + 4*k + 4*k**3. 6*k**3 Collect the terms in 28*z**2 + 13*z**2 - 34*z**2. 7*z**2 Collect the terms in 11*x**3 + 0*x**2 + x**2 - 77*x**3. -66*x**3 + x**2 Collect the terms in -2*i + i - 3*i. -4*i Collect the terms in 63 - 154*d + 158*d - 63. 4*d Collect the terms in 25*u**3 + 35*u**3 - 56*u**3. 4*u**3 Collect the terms in 4*p**3 - 225*p + 225*p. 4*p**3 Collect the terms in 2*g**3 + 34*g**3 + 72*g**3. 108*g**3 Collect the terms in -1 + 1 + 20*c**2 - 74*c**2. -54*c**2 Collect the terms in 24*t**3 - 506*t + 506*t - 25*t**3. -t**3 Collect the terms in 37*b**3 + 0*b**3 + 5*b**3 + 38*b**3. 80*b**3 Collect the terms in -155 - 18*c**3 + 155 + 35*c**3 - 18*c**3. -c**3 Collect the terms in 93*i**3 + 94*i**3 + 92*i**3 - 280*i**3. -i**3 Collect the terms in -4 + 42*x - 40*x + 4. 2*x Collect the terms in 20*o**2 - 6*o**2 - 4*o**2. 10*o**2 Collect the terms in 4 + 10*w - 4 - 101*w. -91*w Collect the terms in 34*i**3 + 33*i**3 - 148*i**3 + 41*i**3 + 41*i**3. i**3 Collect the terms in 11*b - 8 - 3*b + 3*b. 11*b - 8 Collect the terms in 0 - 6 + 6 + 14*a. 14*a Collect the terms in 1 - 6*k**3 - 5 + 4. -6*k**3 Collect the terms in -340 + 340 - 9*o**3 - 4*o**3. -13*o**3 Collect the terms in 1 + 1 + 18*z + 27*z. 45*z + 2 Collect the terms in 37 - 531*j**2 - 37. -531*j**2 Collect the terms in -79*s**3 + 150*s**3 - 73*s**3. -2*s**3 Collect the terms in 74*n**3 + 26*n**3 - 81*n**3. 19*n**3 Collect the terms in -10*m**2 - 5*m**2 - 8*m**2 + 10*m**2. -13*m**2 Collect the terms in 48*s + 10*s - 30*s. 28*s Collect the terms in 3 - 12*w**2 - 3 - 9*w**2. -21*w**2 Collect the terms in o - 5*o - 5*o + 0*o + 10*o. o Collect the terms in -2112*a**2 - 658*a**2 + 292*a**2. -2478*a**2 Collect the terms in -22*u + 2 + 0 - 2. -22*u Collect the terms in 2641*w**3 + 2643*w**3 - 5286*w**3. -2*w**3 Collect the terms in 1 + 5 + 10*b - 5*b. 5*b + 6 Collect the terms in -10*y**3 + 188 - 398 + 210. -10*y**3 Collect the terms in 35*g**3 - 15*g**3 - 18*g**3. 2*g**3 Collect the terms in 89*y**3 + 33*y**3 + 75*y**3 - 19*y**3. 178*y**3 Collect the terms in -4 - 982*h - 989*h + 1970*h + 4. -h Collect the terms in -39*r + 43*r - 7*r. -3*r Collect the terms in -3*m - 12 - 17*m + 12. -20*m Collect the terms in l**2 - 6*l**2 + 4*l**2 - 7*l**2. -8*l**2 Collect the terms in -251 + 19*c**2 + 251. 19*c**2 Collect the terms in 2*v - 2*v + 2*v + 0*v. 2*v Collect the terms in 325*m - 325*m - 42*m**2. -42*m**2 Collect the terms in 0*q**2 - q**2 - 2*q**2 - 4*q**2 + 3*q**2. -4*q**2 Collect the terms in 9 - 5 - 2*l - 4. -2*l Collect the terms in 36*t**3 - 17*t**3 - 20*t**3. -t**3 Collect the terms in -229*a + 15*a**2 + 229*a. 15*a**2 Collect the terms in 80*u - 129*u - 2 - 176*u. -225*u - 2 Collect the terms in -13*t - 3*t + 18*t. 2*t Collect the terms in 9*k + 7*k - 9*k + 38*k. 45*k Collect the terms in -549*m + 182*m + 179*m + 190*m. 2*m Collect the terms in 39 - 7*q**3 - 39. -7*q**3 Collect the terms in 11*g**3 - 42*g**3 - 14*g**3 - 53*g**3. -98*g**3 Collect the terms in 6*r - 2*r - r**3 - 4*r. -r**3 Collect the terms in 3*f**3 + 12*f**3 + 10*f**3. 25*f**3 Collect the terms in -122*z + 122*z + 7*z**3 + 23*z**3. 30*z**3 Collect the terms in b**2 - 19 + 50 - 31. b**2 Collect the terms in 4*j**3 + 0*j**3 + 0*j**2 + 0*j**2. 4*j**3 Collect the terms in 107*p**3 + 96*p**3 - 188*p**3. 15*p**3 Collect the terms in r - 1262 + 1262 + r. 2*r Collect the terms in 255*t**2 - 5343*t + 5343*t. 255*t**2 Collect the terms in -24 + 24 - 32*w. -32*w Collect the terms in -3*j + 14*j**2 + 3*j - 7*j**2 - 9*j**2. -2*j**2 Collect the terms in 13*l**2 - 14*l**2 - l**2. -2*l**2 Collect the terms in 21 + 45 - 3*h - 66. -3*h Collect the terms in 617*w - 323*w - 298*w. -4*w Collect the terms in 1404*r**2 + r**3 - 1404*r**2. r**3 Collect the terms in -c**2 - 355*c + 355*c. -c**2 Collect the terms in -6*a + 6*a + 45*a**2 + 0*a. 45*a**2 Collect the terms in 47*c - 32*c**3 - 47*c + 33*c**3. c**3 Collect the terms in 8 + 1 + 13*z - 5*z + 6. 8*z + 15 Collect the terms in 0*f + 5*f - 9*f + 0*f. -4*f Collect the terms in 38*v - 85*v + 45*v. -2*v Collect the terms in 35*h - 22*h - 14*h. -h Collect the terms in 19360*d**2 - 10*d**3 - 19360*d**2. -10*d**3 Collect the terms in 33*r + 34*r - 62*r. 5*r Collect the terms in 11*q - 6*q - q**3 - 5*q + 3*q**3. 2*q**3 Collect the terms in 17*p + 18*p - 55*p. -20*p Collect the terms in 2 + 1748*v**3 - 1752*v**3 - 2. -4*v**3 Collect the terms in 35*d**3 + 58*d**3 - 13*d**3. 80*d**3 Collect the terms in 61*c**3 - 12*c**3 - 46*c**3. 3*c**3 Collect the terms in -33*f**3 - 31*f**3 + 99*f**3 - 30*f**3. 5*f**3 Collect the terms in -9770*j + 2 - 2 + 9767*j. -3*j Collect the terms in 36*r - 18*r - 15*r - 5*r. -2*r Collect the terms in -1603*j - 2228*j + 711*j. -3120*j Colle
{ "pile_set_name": "DM Mathematics" }
0.5 and -0.34799375. -0.173996875 Product of -32 and -1129943. 36158176 Product of -11762 and -32843. 386299366 11651164 times 11 128162804 -2754.73 times 7.55 -20798.2115 Calculate -0.41103*0.39. -0.1603017 Work out -28051022 * 0.04. -1122040.88 0.25*8.06039 2.0150975 Calculate 135*-1246619. -168293565 -0.18 times 0.3350013 -0.060300234 Work out 0.3 * -1727257. -518177.1 Multiply -0.0909626 and 0.24. -0.021831024 Work out -0.8 * -25.03203. 20.025624 Calculate 1097*-5.68875. -6240.55875 -1162715 * -0.8 930172 Work out -119566 * 20.4. -2439146.4 41 * 4190798 171822718 26607 * -9.51 -253032.57 Calculate -7291614*0.57. -4156219.98 -4.4672 * 6.77 -30.242944 -892 * 21225 -18932700 Multiply -0.0577 and -12.6783. 0.73153791 Product of 0.2 and 3326789. 665357.8 -180233288*-0.3 54069986.4 What is the product of -16107805 and 0.06? -966468.3 What is the product of -10986825 and 0.3? -3296047.5 -0.5 * -14.50165 7.250825 What is -29123510 times -18? 524223180 What is the product of 53788596 and -5? -268942980 23581 * 341 8041121 Product of -2308.28 and -56. 129263.68 Work out 563 * 1.84. 1035.92 Work out -3 * -0.0767. 0.2301 -8.9882866*-3 26.9648598 69441947*0.2 13888389.4 24732381 * -5 -123661905 -1255.1*-0.5479 687.66929 Product of 0.23 and -483289. -111156.47 What is -5 times 612275.02? -3061375.1 Work out 61 * -206347. -12587167 14*1.1144282 15.6019948 Work out 15 * -5.113271. -76.699065 1232.658*-111 -136825.038 11*-36.28701 -399.15711 3480 * 0.0393 136.764 Product of 8647836 and -2. -17295672 What is -3 times -194296? 582888 What is -6220 times 0.43756? -2721.6232 What is the product of 0.39170181 and -8? -3.13361448 What is 163353871 times 0.4? 65341548.4 Work out -29421300 * 0.1. -2942130 74*-81902 -6060748 What is the product of -0.5 and 1.10170501? -0.550852505 446005*1765 787198825 Multiply -1183784 and -0.3. 355135.2 -0.01 times 0.0291318 -0.000291318 5 * 22213.15 111065.75 Calculate 4.7*-1283333. -6031665.1 -9*-0.4577711 4.1199399 Work out 2 * 39973.1. 79946.2 3*-31518139.4 -94554418.2 Multiply 0.08739 and -952. -83.19528 What is the product of 1024535 and 289? 296090615 Work out 0.161893295 * 0.5. 0.0809466475 What is the product of 2 and 2738002? 5476004 -0.7 times 945472 -661830.4 259594.36*-13 -3374726.68 1093138*1 1093138 -30 * -1676016 50280480 Multiply 241.8777 and -8. -1935.0216 Product of -2247 and 0.06463. -145.22361 Product of 4 and 0.13220142. 0.52880568 Product of 0.02 and 141010609. 2820212.18 What is 4811 times 2203? 10598633 -5*1496381 -7481905 Product of -1.2 and -0.210057. 0.2520684 -2050.09*5185 -10629716.65 63 * 19.41176 1222.94088 What is -0.10899 times 3589? -391.16511 41.3 times -4.392 -181.3896 Calculate -174238*-60. 10454280 What is -1.47 times -12014.7? 17661.609 -9648 times -0.254 2450.592 -5 * 8.570521 -42.852605 Calculate -0.00968*-169. 1.63592 -21095047.72*2 -42190095.44 106849644 times -0.2 -21369928.8 49804 times 44.3 2206317.2 118.634 times -170.8 -20262.6872 -19 times -194120 3688280 Work out -3.062703 * 32. -98.006496 Calculate -12664.1*5.61. -71045.601 8.519 * 107 911.533 What is -27095721 times 3? -81287163 Work out -1.8739 * -739. 1384.8121 What is the product of 149707 and 6.426? 962017.182 Work out 3.493 * -0.0546. -0.1907178 1.9516672 * 0.47 0.917283584 Calculate 1089978*-3. -3269934 Multiply -863988319 and 2. -1727976638 What is the product of 211 and -73621? -15534031 Product of -0.024645 and 0.4057. -0.0099984765 -28097.102 * -0.4 11238.8408 Work out 1932 * -6316. -12202512 Calculate 7.1*0.01465. 0.104015 What is the product of -3 and -10986784? 32960352 0.2*217875746 43575149.2 Product of 724304 and 320. 231777280 Multiply 1500 and 117478. 176217000 830189 times -0.013 -10792.457 1.59*-53902 -85704.18 What is the product of 186709 and -2? -373418 Work out -1137 * 0.1839. -209.0943 What is the product of 0.069232 and 21? 1.453872 Product of 1.0756 and 15528. 16701.9168 Calculate 40054*5318. 213007172 0.0289499*-31 -0.8974469 475968 * -0.0148 -7044.3264 Multiply -709 and 15885.3. -11262677.7 Calculate 17.89*10414. 186306.46 Calculate -125*-864.2. 108025 Work out -5 * -10.465148. 52.32574 0.4 * -3.71862125 -1.4874485 Work out 145.19 * 634.3. 92094.017 Product of 167.7 and 144.148. 24173.6196 Product of -743 and -10558. 7844594 Calculate -9450078*-0.1. 945007.8 Calculate 438*8196. 3589848 What is 2846086 times -1? -2846086 What is the product of -5 and -2674386? 13371930 5 times -35083.6 -175418 -0.0078 times 153764 -1199.3592 -297314 * 28 -8324792 Calculate 0.085*-12958.64. -1101.4844 What is the product of 5 and -11119870? -55599350 Multiply -103875191 and 0.09. -9348767.19 What is -9924135 times -3? 29772405 Multiply 5 and -16551.672. -82758.36 What is the product of 8312 and 90.861? 755236.632 -4 times 10535.666 -42142.664 Work out -41615 * 12648. -526346520 Multiply 1639105 and 1.5. 2458657.5 -2945967*-14 41243538 What is -27074.785 times 3? -81224.355 Multiply 45 and 4748827. 213697215 What is the product of -6.72 and -0.04647? 0.3122784 Multiply -4 and -25884.35. 103537.4 27.638 times -57.7 -1594.7126 0.152*4408558 670100.816 Multiply -3 and 83.405348. -250.216044 -0.274 * -1676444 459345.656 What is -0.0128963 times -0.14? 0.001805482 -1370900 times 4 -5483600 Work out -5392210 * 3. -16176630 -3*-26635826 79907478 What is 8350.68 times -10? -83506.8 10.1 times 900585.6 9095914.56 Product of -10067 and -1.15. 11577.05 Product of 98.85 and -211. -20857.35 Calculate 0.4*20.278223. 8.1112892 Product of 143.0295 and -5. -715.1475 Product of -72 and -11847.6. 853027.2 What is 14821383 times -0.6? -8892829.8 Multiply 4523186 and -20. -90463720 Product of -1.6 and 43.96552. -70.344832 Work out -0.027011466 * 0.4. -0.0108045864 1705337.8*-0.06 -102320.268 What is 0.23195 times 0.208? 0.0482456 Multiply -34134 and 15.54. -530442.36 Calculate 336.583*0.571. 192.188893 254.697852 * -0.1 -25.4697852 Calculate 5349*1778. 9510522 Multiply -312 and 32563. -10159656 What is 0.21 times -206741? -43415.61 -2938875 * -28 82288500 Calculate 0.2*68718.168. 13743.6336 -5*1107565 -5537825 448.313 times -132 -59177.316 What is 54.304 times -267? -14499.168 Calculate 145*-1672974. -242581230 -62844 times -28.4 1784769.6 What is -2710.9 times -1087? 2946748.3 -15.18071 * -936 14209.14456 Product of -0.029 and 81721.77. -2369.93133 What is -30.32 times -0.05? 1.516 147091*-2.72 -400087.52 Product of 9418.79 and 0.02. 188.3758 6.445984 * -0.2 -1.2891968 What is the product of 32.8 and 1096573? 35967594.4 64384802 times 20 1287696040 84839 times -552 -46831128 -0.8856351 * 2 -1.7712702 158689*-0.2561 -40640.2529 What is 38 times -4.33578? -164.75964 What is the product of -162.148 and -323? 52373.804 -0.867*39013 -33824.271 What is the product of 20874706 and -3? -62624118 What is 170 times -4.388? -745.96 -58 times 6269 -363602 -2.67321*493 -1317.89253 42560 * 44 1872640 What is -5.692601 times 5? -28.463005 -619*0.037504 -23.214976 What is -218 times -20.61863? 4494.86134 Work out -0.1 * 14497523. -1449752.3 -7576.6*-24.7 187142.02 -0.009874839 * -3 0.029624517 Calculate 2.58*-0.082693. -0.21334794 0.4 * -25109393 -10043757.2 Product of 0.5 and -12.96535. -6.482675 Work out 13.509 * 236. 3188.124 Product of 2 and 274599. 549198 What is the product of 9535 and 2756? 26278460 Calculate 0.225*3071. 690.975 -55.017 times -702 38621.934 What is the product of 31 and 1555076? 48207356 73*315965 23065445 -4.13948*-0.08 0.3311584 Multiply 4 and 1501016. 6004064 Multiply 1.43 and -4.2777. -6.117111 What is the product of -8328 and -170.93? 1423505.04 Product of 4 and -4.561803. -18.247212 Calculate -205.82*4112. -846331.84 Multiply -77.46 and -99. 7668.54 -16226883*0.5 -8113441.5 24778 * -507 -12562446 What is 36624567 times 2.4? 87898960.8 What is 5 times 0.1951294? 0.975647 10 * -20.07706 -200.7706 -31.79*-1399 44474.21 Product of -163.3997 and 1. -163.3997 -67924 times -7.535 511807.34 Multiply -0.3 and -126432432. 37929729.6 -29.58*68.2 -2017.356 Work out -2402.75 * 0.156. -374.829 3.9 times 1.581464 6.1677096 -0.138664 * -210 29.11944 Multiply -10711 and 1394. -14931134 Multiply -25 and -1325335. 33133375 Multiply -0.34 and -1183780. 402485.2 What is the product of 8562.054 and 0.04? 342.48216 137 times 649.7386 89014.1
{ "pile_set_name": "DM Mathematics" }
of sequence izb? 1/140 Calculate prob of sequence wiwk when four letters picked without replacement from {k: 7, i: 2, w: 2}. 7/1980 What is prob of sequence gge when three letters picked without replacement from geegeegeqegeeeegeeee? 7/171 Calculate prob of sequence kzvv when four letters picked without replacement from vvkkzvmvkv. 1/84 What is prob of sequence cfy when three letters picked without replacement from {f: 4, o: 1, c: 7, y: 1}? 7/429 What is prob of sequence lv when two letters picked without replacement from vjjlezj? 1/42 What is prob of sequence cn when two letters picked without replacement from nniciciiiiiii? 1/39 Four letters picked without replacement from hhblhhlpbhbblhhbb. What is prob of sequence blbh? 3/272 Two letters picked without replacement from {w: 2, b: 1, f: 4, x: 7, q: 2}. Give prob of sequence xb. 7/240 Three letters picked without replacement from {c: 8, m: 1, b: 1, e: 2, s: 2, j: 6}. What is prob of sequence sbs? 1/3420 Four letters picked without replacement from {d: 1, x: 1, z: 2, g: 1}. What is prob of sequence gzdz? 1/60 Calculate prob of sequence sl when two letters picked without replacement from flqlqsqfsvqxqslqq. 9/272 Three letters picked without replacement from {b: 16, h: 3, a: 1}. What is prob of sequence hab? 2/285 Two letters picked without replacement from flfhfylfazay. What is prob of sequence zf? 1/33 Three letters picked without replacement from oieevig. Give prob of sequence ogi. 1/105 What is prob of sequence cpk when three letters picked without replacement from {p: 2, k: 1, c: 1, s: 2, m: 7, y: 2}? 1/1365 Four letters picked without replacement from {g: 4, v: 7}. What is prob of sequence vgvg? 7/110 Two letters picked without replacement from shwhsxwshhffusfhsxss. Give prob of sequence uf. 3/380 Two letters picked without replacement from bvvbwdehbhwwvehw. What is prob of sequence wb? 1/20 What is prob of sequence yz when two letters picked without replacement from {a: 2, y: 1, z: 1}? 1/12 Four letters picked without replacement from dpzzddczdccccdccccp. Give prob of sequence pcpc. 1/646 Two letters picked without replacement from {t: 6, j: 2}. Give prob of sequence tt. 15/28 Calculate prob of sequence cv when two letters picked without replacement from {c: 1, b: 3, l: 3, j: 5, v: 4, y: 1}. 1/68 What is prob of sequence hk when two letters picked without replacement from {k: 2, o: 1, h: 2, e: 1}? 2/15 Three letters picked without replacement from {i: 1, o: 5, v: 1, b: 2}. Give prob of sequence ibb. 1/252 Calculate prob of sequence wjpw when four letters picked without replacement from apajwya. 0 Calculate prob of sequence in when two letters picked without replacement from iqhnu. 1/20 What is prob of sequence tdo when three letters picked without replacement from {d: 2, x: 2, o: 7, t: 1}? 7/660 Two letters picked without replacement from {r: 1, o: 1, s: 1, b: 1, e: 1}. What is prob of sequence or? 1/20 Calculate prob of sequence rkvk when four letters picked without replacement from kvfvfvkvrvfkr. 1/286 Two letters picked without replacement from {q: 2, z: 2, n: 1, b: 1}. Give prob of sequence bb. 0 Calculate prob of sequence wm when two letters picked without replacement from {m: 1, f: 6, p: 2, w: 4}. 1/39 Two letters picked without replacement from {q: 6, r: 6, m: 1, z: 1, i: 1}. What is prob of sequence zm? 1/210 What is prob of sequence qzcc when four letters picked without replacement from qclclzccqlzlcqcqzc? 7/1020 Four letters picked without replacement from {a: 3, j: 6, k: 3, h: 1}. What is prob of sequence jhka? 9/2860 Three letters picked without replacement from {b: 9}. Give prob of sequence bbb. 1 What is prob of sequence ffsh when four letters picked without replacement from njsjjjfjnfhsnn? 1/6006 Two letters picked without replacement from {e: 1, b: 2, t: 6, z: 2, k: 5}. What is prob of sequence bz? 1/60 Three letters picked without replacement from {d: 2, a: 4, e: 3}. Give prob of sequence add. 1/63 What is prob of sequence je when two letters picked without replacement from {e: 1, j: 1, m: 2, z: 2}? 1/30 What is prob of sequence wix when three letters picked without replacement from {x: 2, w: 2, i: 2, k: 2}? 1/42 What is prob of sequence nwn when three letters picked without replacement from {w: 5, n: 2}? 1/21 Two letters picked without replacement from {o: 1, k: 1, h: 1}. What is prob of sequence kh? 1/6 Two letters picked without replacement from wwwppwwwwwwwwwwwwwww. Give prob of sequence pp. 1/190 What is prob of sequence gro when three letters picked without replacement from orrgogororog? 1/22 What is prob of sequence tyy when three letters picked without replacement from ooooyytt? 1/84 What is prob of sequence rq when two letters picked without replacement from {q: 2, y: 1, m: 2, s: 1, r: 1}? 1/21 Two letters picked without replacement from wywwwywqyywqw. What is prob of sequence wy? 7/39 Four letters picked without replacement from {n: 1, t: 10, b: 6}. Give prob of sequence tbtb. 45/952 Three letters picked without replacement from {h: 1, x: 1, s: 1, k: 1, y: 1}. What is prob of sequence xsh? 1/60 Two letters picked without replacement from iyssissiyiys. Give prob of sequence ii. 1/11 Three letters picked without replacement from uuwuwuwuuu. What is prob of sequence uuu? 7/24 Four letters picked without replacement from {s: 3, a: 6, t: 6, f: 2, k: 1}. Give prob of sequence ksfa. 1/2040 Four letters picked without replacement from uuuuniunicu. Give prob of sequence ucun. 1/132 Four letters picked without replacement from {b: 1, p: 1, u: 2, s: 2, o: 4}. What is prob of sequence ppsp? 0 Two letters picked without replacement from {t: 2, v: 4}. What is prob of sequence tv? 4/15 Calculate prob of sequence pp when two letters picked without replacement from {o: 1, c: 4, p: 6, a: 3}. 15/91 Two letters picked without replacement from ufufrffu. Give prob of sequence fu. 3/14 What is prob of sequence ec when two letters picked without replacement from fecccfc? 2/21 Four letters picked without replacement from {b: 2, s: 3, c: 1, d: 4}. What is prob of sequence sbds? 1/105 Two letters picked without replacement from {e: 1, y: 1, u: 1}. What is prob of sequence eu? 1/6 Calculate prob of sequence dd when two letters picked without replacement from lppdpdxdjdpdpdlldpd. 28/171 Three letters picked without replacement from {n: 1, q: 2, g: 5, k: 11, v: 1}. Give prob of sequence ggq. 1/171 What is prob of sequence tm when two letters picked without replacement from {k: 1, o: 2, j: 1, m: 3, t: 7}? 3/26 Four letters picked without replacement from {o: 9, i: 11}. Give prob of sequence ioii. 99/1292 What is prob of sequence hyy when three letters picked without replacement from {h: 1, y: 2}? 1/3 What is prob of sequence qiqi when four letters picked without replacement from {h: 3, q: 4, i: 2, m: 1, l: 2, t: 2}? 1/1001 Three letters picked without replacement from {a: 10, q: 4}. Give prob of sequence qqq. 1/91 What is prob of sequence ssm when three letters picked without replacement from mmmmsmmsmmmmmmmmmm? 1/153 Four letters picked without replacement from {a: 2, u: 2}. Give prob of sequence auua. 1/6 Calculate prob of sequence wp when two letters picked without replacement from wwjsmwsjswmpwpwspj. 1/17 Calculate prob of sequence xvv when three letters picked without replacement from vxvvvvvvxvv. 8/55 Calculate prob of sequence go when two letters picked without replacement from {g: 2, j: 1, o: 4, u: 2}. 1/9 Four letters picked without replacement from {z: 2, w: 4}. What is prob of sequence wwwz? 2/15 What is prob of sequence rr when two letters picked without replacement from wurkrecerrer? 5/33 Calculate prob of sequence xrb when three letters picked without replacement from {x: 1, o: 1, r: 1, b: 2}. 1/30 What is prob of sequence aqn when three letters picked without replacement from {a: 1, l: 2, q: 1, n: 1}? 1/60 Calculate prob of sequence mqx when three letters picked without replacement from {m: 2, x: 2, q: 1}. 1/15 Three letters picked without replacement from {i: 5, v: 3}. What is prob of sequence vii? 5/28 What is prob of sequence eejb when four letters picked without replacement from egjejabaaggaag? 1/6006 Three letters picked without replacement from {g: 4, c: 1, s: 1, l:
{ "pile_set_name": "DM Mathematics" }
. Suppose 8 = 4*c - 16. Let l be 15/(-90) + 43/c. Calculate the greatest common factor of r and l. 7 Let p(n) = n**2 + 21*n + 36. Let g be p(-19). Let y be (5 + -7)/g*187. Calculate the highest common divisor of y and 11. 11 Suppose -6 = -s - 2. Let g be s*((-7)/(-3))/((-12)/(-18)). Suppose 0 = 3*v - r - 22 - 39, 0 = v - 5*r - 11. What is the greatest common factor of g and v? 7 Let v(q) = 26*q - 97. Let i be v(15). Let x = i - 292. Calculate the highest common factor of 2 and x. 1 Suppose -3*g - 93 = 3*w, -2*w + w + g = 23. Let h be (-12)/w*(19 + -10). What is the highest common factor of 10 and h? 2 Let m = -15673 + 16048. What is the highest common factor of m and 200? 25 Let a = -206 + 216. Let z be 106/9 + (-1)/((-45)/a). What is the greatest common divisor of 324 and z? 12 Let i be -8 - 0 - 850/(-85). Suppose 220 = 4*r - s, s = -0*r + r - 55. Let x = -33 + r. Calculate the highest common divisor of x and i. 2 Suppose 15*w - 5*w - 40 = 0. Suppose -3*g - t + 4 = 0, 2*t + w + 15 = 3*g. What is the highest common factor of 87 and g? 3 Let h(z) = -15*z - 689. Let y be h(-46). Calculate the greatest common factor of y and 37. 1 Suppose -5*u + 2*l - 396 = -1188, u - 164 = -l. What is the greatest common factor of u and 256? 32 Let f(r) = 120*r - 61. Let y be f(4). Let d = y + -407. What is the greatest common divisor of 76 and d? 4 Suppose 1370 = 3*s - 5*c, -2*s + 1375 = s - 4*c. Suppose s - 513 = -6*v. Let k = 38 - 26. What is the highest common divisor of v and k? 4 Suppose 5*p + k = 506, -104*k + 392 = 4*p - 100*k. What is the greatest common factor of 18 and p? 6 Suppose -7*q = 4*q - 132. Let x be (q/3 - -1)*(-44)/(-10). What is the highest common divisor of 154 and x? 22 Let m(f) = -593*f - 2145. Let g be m(-9). What is the greatest common divisor of g and 273? 21 Let g be (-6)/10 + (-66528)/(-480). Calculate the greatest common factor of 10 and g. 2 Let w be 8/4 + (-3 - 2). Let g be -7 - w/1 - -17 - 1. Calculate the highest common divisor of 192 and g. 12 Let n = -3079 + 3469. Calculate the greatest common divisor of n and 90. 30 Let u = 289 - 118. Suppose 0 = -5*v - 123 + 183. Suppose v*p = -p + 247. Calculate the highest common divisor of u and p. 19 Let f be (-12)/126*-7 - -141*(-4)/(-18). What is the highest common divisor of 7472 and f? 16 Let s(c) be the second derivative of -c**5/20 + 5*c**4/6 + 20*c**3/3 - 7*c**2/2 - c + 5. Let h be s(13). Calculate the highest common divisor of h and 10. 2 Suppose -3 = -3*m, -4*d = -0*d - 4*m - 4. Suppose 2295 = 7*x + d*x. Calculate the greatest common factor of x and 51. 51 Let o(u) = -2*u**3 - 13*u**2 + 97*u + 621. Let q be o(-6). Let f be ((-6)/3)/((-2)/(-11)). Let c be 3*f*(1 + -2). What is the greatest common factor of q and c? 3 Let p(s) = -s + 53. Let y be p(18). Let o be 0 - (-13852)/44 - (-16)/88. Calculate the greatest common divisor of y and o. 35 Suppose 19*h - 3*p = 20*h - 314, -1608 = -5*h + 4*p. What is the greatest common factor of 84 and h? 4 Suppose -10 + 115 = a. Let f = 6910 + -6847. Calculate the greatest common factor of a and f. 21 Let m be 73 + (-4 + 1)*(-13)/39. Suppose -102 - m = -8*q. Let w be 2*(46 + -1 - 1). What is the greatest common divisor of w and q? 22 Let d(g) = 3*g + 18. Let s be d(-5). Suppose 5*n - 760 = n + 3*m, -4*m + 545 = s*n. Calculate the highest common divisor of n and 17. 17 Let f(o) = -o**3 + 12*o**2 - 16*o - 32. Let c be f(10). Let w(p) = -p**3 + 8*p**2 + 2*p + 62. Let r be w(c). What is the greatest common divisor of r and 208? 26 Suppose -5*j = -2*j - 6, 5*j - 160 = -3*b. Let g(z) = -23*z - 1. Let m be g(-5). Let h = m - b. What is the highest common divisor of h and 8? 8 Let u(x) = x**2 + 7*x - 6. Let b be u(-8). Suppose b*a + 48 = -56. Let q = 90 + a. What is the greatest common divisor of 38 and q? 38 Let t = 135 + -130. Suppose 14*g = t*g + 1386. What is the highest common factor of g and 56? 14 Let o be 2/2 - (0 - 319). Suppose -3148 + 7008 = 193*g. Calculate the highest common divisor of o and g. 20 Suppose -33037 + 6961 = -6*w. Calculate the greatest common divisor of w and 106. 106 Let a = -64 - -97. Suppose q - a = -5*n, -110 = -q - 3*q + 2*n. Calculate the highest common divisor of q and 224. 28 Let l be (-414*64/(-96))/12. Let y be 1 + -1 - 0 - -437. Calculate the greatest common factor of y and l. 23 Let q(y) = 317*y - 768. Let m be q(6). What is the greatest common divisor of 98 and m? 14 Let w be (((-256)/704)/((-18)/165))/(10/36). What is the highest common divisor of w and 32268? 12 Let m be 50655/75 + 4/(-10). Calculate the highest common divisor of m and 30. 15 Let l(x) = -x**3 - 7*x**2 + 10*x + 17. Let j(g) = g**2 - 15*g + 18. Let t be j(13). Let m be l(t). Calculate the highest common factor of 1 and m. 1 Suppose -5*a = -2*n - 188, 4*a + 69*n = 73*n + 160. What is the highest common divisor of 4068 and a? 36 Suppose -n + 4*g = -996, -14*g - 2028 = -2*n - 15*g. What is the highest common factor of n and 644? 92 Let y be (19942/1183)/(2/35). Calculate the highest common divisor of 531 and y. 59 Let n be (-253)/(-5) + (-56)/(-140). Let f be (-10)/6 + 595/n. Calculate the greatest common factor of 35 and f. 5 Let w be (-1)/(7/(-60))*(-140)/200*-15. What is the greatest common divisor of w and 1665? 45 Let n be 3*(1 - -1) + -1. Let j(b) = -b**2 + 18*b + 2. Let k be j(18). Suppose -2*l + 38 = 3*r - k, r = 0. What is the highest common factor of n and l? 5 Let z(x) = 2*x**3 + 30*x**2 + 8*x + 124. Let g be z(-15). What is the highest common factor of 1996 and g? 4 Let m(d) = 2*d**2 + 31*d - 84. Let o be m(3). Calculate the highest common factor of 5157 and o. 27 Suppose 145*m - 8745 + 5043 = 7898. What is the highest common factor of m and 215? 5 Let n be (-98)/(-8) - (3 - 11/4). Let c be n/(-3)*(2 + -12). Calculate the highest common factor of 16 and c. 8 Let t be 2911 + -1 + 12 + -11. What is the greatest common divisor of t and 923? 71 Suppose 12*i + 4 = 14*i. Suppose 5*j - 3*u = 461, -2*j + 5*j - i*u - 277 = 0. Calculate the greatest common divisor of j and 26. 13 Suppose 3*c + 36*x - 188 = 41*x, 0 = -2*c - 7*x + 53. What is the greatest common factor of c and 51? 51 Suppose k = -11 - 30. Let g = -29 - k. Suppose -g = -r - 11*r. Calculate the greatest common factor of r and 11. 1 Suppose 3*q + 172 = 5*y - 25, 117 = 3*y - 3*q. Let s = y + -8. What is the greatest common divisor of 544 and s? 32 Suppose -6996*r + 6995*r = 5*z - 12, -2*r = 4*z - 12. Let m = 1 + 3. Suppose 4*i + w - 33 = m*w, -w = -i + 9. What is the greatest common divisor of i and z? 2 Let i(z) = -1120*z - 5296. Let k be i(-5). What is the highest common divisor of k and 384? 16 Suppose h - a - 4 = 0, -2*a + 2 = -h - 4*a. Let z = 5 - h. Suppose l + 78 = z*l. What is the greatest common divisor of l and 26? 13 Suppose -4*r = 11*z - 13*z + 4132, 5*z = -5*r + 10300. Suppose -5*x + 886 = 2*q - z, 2*q = -4*x + 2360. What is the highest common factor of x and 84? 84 Let w be -6 - (-1536)/((-56)/(-7)). Let k = -87 + w. Suppose 0 = 4*j - 138 + 6. Calculate the greatest common factor of j and k. 33 Suppose 3*z = -2*o + 7*z + 418, -o - 4*z = -203. Suppose -a + 115 = 3*r - 96, 0 = 3*r - 3*a - o. What is the greatest common divisor of 28 and r? 14 Let z(o) = -6 + 5 + 14 - 5 + 2*o**2 + 8*o. Let q be z(-9). What is the greatest common factor of q and 28? 14 Suppose 10*k - 4*c + 1 = 5*k, -3*c + 27 = 5*k. Suppose k*q + 9 = 0, 2*n + 21 = 4*n - 3*q. Calculate the greatest common divisor of n and 6. 6 Let w be 1/4 - (-20)/(-16) - 70. Let b = w - -73. Suppose 0 = -b*n - n - 3*s + 78, -n = 5*s - 46. What is the highest common factor of 35 and n? 7 Let v(g) = -g**3 + g**2 + g - 4. Let l be v(3). Let o = l + 20. Let i = -92 + 99. What is the greatest common factor of i and o? 1 Let d(g) = 4*g - 22 - 103*g**2 - g + 107*g**2 + g. Let h be d(4). What is the highest common divisor of h and 435? 29 Let n be (56/(-10))/((156/(-270))/13). Suppose 4*r - n = -2*r. What is the highest common divisor of r and 28? 7 Let b(j) = 116*j + 21. Let r be b(-4). Let c = r - -758. Calculate the greatest common divisor of c and 135. 45 Let q(m) = m**3 - m**2 + 10. Let k be q(0). Suppose g + w - 156 = 0, -202*g = -206*g + 4*w + 536. Calculate the greatest common factor of g and k. 5 Let z be 0/(5 + 0 + -4)
{ "pile_set_name": "DM Mathematics" }
4 Let k(w) = 280*w**2 - 493*w - 3. Let h(r) = -4*r**2 - r - 1. Let q(v) = -3*h(v) + k(v). What is the second derivative of q(o) wrt o? 584 What is the third derivative of 134*z**2 - 188*z**3 - 86*z**3 - 255*z**3 + 10*z**2 wrt z? -3174 Find the second derivative of 182*v + 14 - 51*v**4 - 22*v**4 - 185*v wrt v. -876*v**2 Suppose 0*m = -3*m + 6. Suppose 0 = -7*h + 16 - m. Find the second derivative of 5*k**2 + 12*k - h*k - 4*k**2 wrt k. 2 Let g(h) = -2*h**3 - 121*h**2 - 6*h + 49. Let z(t) = 4*t**3 + 241*t**2 + 10*t - 100. Let i(c) = -5*g(c) - 3*z(c). What is the derivative of i(r) wrt r? -6*r**2 - 236*r Suppose -10*z = -2*z. Find the second derivative of v**4 + z*v**4 + 15*v**5 - v**4 - 21*v wrt v. 300*v**3 Let k(w) be the second derivative of -w**8/56 - 5*w**7/7 + 13*w**4 - 2*w + 107. What is the third derivative of k(h) wrt h? -120*h**3 - 1800*h**2 Let a(j) = -2*j + 3. Let k be a(-15). What is the first derivative of -5 - 25*v**2 + 6*v**2 - k*v**2 - 19 wrt v? -104*v Let r be (-6)/15 + (-135)/(-25). What is the derivative of 6 + 7*h + r*h**4 - 7*h wrt h? 20*h**3 Let q(y) be the first derivative of 199*y**2/2 - 43*y - 201. What is the derivative of q(g) wrt g? 199 Let a(o) = 9*o**3 + 3*o**2 + 6*o - 413. Let c(t) = -8*t**3 - 2*t**2 - 5*t + 413. Let h(l) = 5*a(l) + 6*c(l). What is the derivative of h(q) wrt q? -9*q**2 + 6*q Let j(h) be the first derivative of 2*h**5/5 + 5*h**4/4 + 37*h**3 + 8. Find the third derivative of j(q) wrt q. 48*q + 30 Let l(a) be the second derivative of 28*a**3/3 + a**2 - 65*a. What is the derivative of l(h) wrt h? 56 Find the second derivative of 132*x**4 + 121*x**4 - 252*x**4 - 28*x - 451*x**3 - 2 - 30*x wrt x. 12*x**2 - 2706*x What is the third derivative of -17*v**2 - 121*v - 318*v**6 + 8*v**2 + 7*v**2 - 72*v**6 wrt v? -46800*v**3 Differentiate -131 - 452*o**2 + 72*o**2 + 577 + 262 with respect to o. -760*o Let r(g) be the second derivative of 13*g**6/30 + g**4/4 + 7*g**3/3 + 3*g**2/2 - 4*g + 8. Find the second derivative of r(c) wrt c. 156*c**2 + 6 Let s = -14 + 17. Find the second derivative of 5*i**s - 4*i**3 - 5*i**3 + 2*i - i**3 wrt i. -30*i Suppose -35*f + 33*f + 88 = 0. Differentiate -5*x**3 + 4*x**3 - 16 + f + 23*x**3 with respect to x. 66*x**2 Suppose 0*p = 3*p - 9. Let d be 9 + -8 + ((-12)/3)/(-2). Differentiate 7*m**d + 15 + 2*m**p - 4 + m**3 with respect to m. 30*m**2 Let i(l) = 45*l**3 + 157*l**2 + 5*l - 5. Let m(p) = -68*p**3 - 235*p**2 - 7*p + 7. Let r(b) = 7*i(b) + 5*m(b). What is the third derivative of r(g) wrt g? -150 Suppose 0 = -11*v - 17 + 72. What is the third derivative of 4*n - 16*n**2 - 3*n - n**v - 15*n**2 + 14*n**5 wrt n? 780*n**2 What is the first derivative of 13 - 168 - 156*a - 143*a + 7*a + 32*a wrt a? -260 Let q(n) be the first derivative of -57*n**2/2 - 42*n - 289. Find the first derivative of q(h) wrt h. -57 Find the third derivative of -3*i**6 + i**2 - 4*i**4 - 31 - 4 - 25*i**3 + 4*i**4 wrt i. -360*i**3 - 150 Find the third derivative of -22*n**2 - 87*n**6 - 54*n + 54*n wrt n. -10440*n**3 Let f(r) be the second derivative of 59*r**5/20 + 13*r**2 - r - 3. What is the first derivative of f(c) wrt c? 177*c**2 Suppose -3*m + 37 = 3*w - 2*m, 10 = -5*m. Find the second derivative of 17*d**4 + 12*d - 14*d - w*d wrt d. 204*d**2 Let h(m) be the first derivative of -10*m**2 - 547*m + 494. What is the derivative of h(f) wrt f? -20 Find the first derivative of 100*k**4 - 291 + 110*k**4 + 0*k**3 + 89 + 0*k**3 wrt k. 840*k**3 Let z(r) be the second derivative of -r**6/30 - 11*r**3/6 + 245*r**2/2 - 720*r. What is the first derivative of z(g) wrt g? -4*g**3 - 11 Find the second derivative of 9*b**2 - 44*b**2 + 90*b**3 + 16*b**2 - 1 + 272*b + 21*b**2 wrt b. 540*b + 4 Suppose -3*c + 0*c - 15 = 0. Let z(f) = -f + 9. Suppose -33 = -12*p + p. Let k(d) = -2*d + 18. Let a(o) = c*z(o) + p*k(o). Differentiate a(l) wrt l. -1 Differentiate -993 - c - 9*c**4 + c + c**4 + 1306 with respect to c. -32*c**3 Let c(p) = -408*p**4 - 5*p**2 + 5*p - 191. Let u(w) = w**4 + w**2 - w - 1. Let l(t) = c(t) + 5*u(t). Differentiate l(z) wrt z. -1612*z**3 Let c(t) be the third derivative of -12*t**5/5 + t**4/8 - 7*t**3/6 - 16*t**2 + t. What is the second derivative of c(i) wrt i? -288 What is the third derivative of -3192*l - 181*l**3 - 22*l**2 + 3192*l wrt l? -1086 Let l be (4/2 - 4)*(-9)/6. Find the third derivative of -32*s**6 + 6*s**l - 4*s**2 - 6*s**3 - 4*s**2 wrt s. -3840*s**3 Let m(q) be the first derivative of 36 + 33*q + 19/2*q**4 + 0*q**3 + 0*q**2. What is the derivative of m(u) wrt u? 114*u**2 Suppose 0 = l + 5*j + 2 - 30, -j = -2*l + 1. Let s(d) = d**2 - d - 4. Let v be s(l). Find the second derivative of 4*r**4 - 5*r**v - 3*r + 5*r**2 wrt r. 48*r**2 Let b(s) = 2*s - 13. Let y be b(7). Differentiate -y - 3 - 5 - 38*i**3 + 39*i**3 wrt i. 3*i**2 Suppose g = 3*g - 22. What is the derivative of g - 2 + 10*i - 9*i + 6*i wrt i? 7 Let j(r) be the first derivative of 0*r**2 + 1/3*r**3 + 0*r + 12 - 5/2*r**4. Find the third derivative of j(l) wrt l. -60 Let i(k) be the third derivative of 0*k**4 + 0 - 23/60*k**5 - 17*k**2 + 8/3*k**3 + 0*k. What is the first derivative of i(b) wrt b? -46*b Differentiate -83*u - 148*u + 281 - 467 with respect to u. -231 Let o(k) = k**2 + k - 1. Let p(b) = -108*b**2 + 175*b + 4. Let c(u) = -4*o(u) - p(u). What is the second derivative of c(l) wrt l? 208 Let c(n) be the third derivative of 103*n**5/60 - 19*n**3/3 - 84*n**2 + 2. Differentiate c(t) with respect to t. 206*t Let x(v) be the second derivative of -1/2*v**2 + 0 + v**3 + 7*v. What is the first derivative of x(n) wrt n? 6 Suppose -y - 2*y = -711. Differentiate -114 - u - 83 - 2*u + y wrt u. -3 Suppose 3*p = 2*t + 10, -2*t + 2 = -3*t. Let g be (-5)/p*20/(-25). Find the second derivative of y**2 - 2*y**2 - 4*y**2 + 6*y**g - 3*y wrt y. 2 Let g(s) be the third derivative of 37*s**8/84 + s**4/24 - s**3/6 + 11*s**2 - 10*s. What is the second derivative of g(i) wrt i? 2960*i**3 Let v = -23 - -36. Find the third derivative of 39*c**6 - 28*c**6 + 30*c**6 + v*c**2 wrt c. 4920*c**3 Let b(v) = -2*v - 3. Let q be b(-3). Find the first derivative of 18*h**q - h**2 + h**2 - 885 + 842 wrt h. 54*h**2 Suppose 0 = -2*a - t + 1, -3*a - 2*t + 3 = 1. Find the second derivative of 19*h - 4 + a + 4 - 2*h**3 wrt h. -12*h Let f(a) be the third derivative of 0 - 7*a**2 + 0*a**6 - 7/24*a**4 + 0*a + 1/24*a**8 + 0*a**5 + 0*a**3 + 0*a**7. What is the second derivative of f(r) wrt r? 280*r**3 Suppose 4*z = -5*c + 2, -6 = -5*c - 5*z - 1. Let q be (-4)/(-1) + c - -4. What is the first derivative of 0*r - r - q + 9 wrt r? -1 Let s(h) be the third derivative of -11*h**2 - 1/30*h**6 + 0 + 0*h**3 + 0*h + 0*h**4 - 1/10*h**5. What is the third derivative of s(q) wrt q? -24 Let t(b) = 17*b**3 + b**2. Let l be t(1). What is the derivative of l + 9*o**2 - 14 + 16*o**2 - 12 wrt o? 50*o Let u(b) be the first derivative of 0*b**4 - 36/5*b**5 + 0*b**2 + 25*b + 0*b**3 + 33. Differentiate u(n) wrt n. -144*n**3 What is the third derivative of 13*z**2 - 192*z**6 + 343*z**6 - 11 + 10 wrt z? 18120*z**3 Let n(r) = -r. Let k be n(-7). Suppose -1 + k = c. Find the first derivative of -7*t + c + 7*t - 1 - 4*t**4 wrt t. -16*t**3 Let o(q) = 3*q**2 - q + 45. Let v(l) = l. Suppose 22 = -15*m + 7. Let i(u) = m*o(u) + 6*v(u). What is the derivative of i(t) wrt t? -6*t + 7 Find the second derivative of -82*t + 48*t - 104*t**5 - 57*t - 47*t + t**2 wrt t. -2080*t**3 + 2 Find the second derivative of 42 - 14*x**3 + 2*x**2 - 79 - 9*x + 43 wrt x. -84*x + 4 Let l(u) = 47*u**3 - 31. Suppose 7*d - 16 = 5*d. Let m(f) = 16*f**3 - 10. Let o(n) = d*m(n) - 3*l(n). Differentiate o(v) with respect to v. -39*v**2 Let m(b) = 10*b + 17. Let l be (-12)/(-3)*((-22)/4 - -4). Let q(i) = -20*i - 33. Let v(f) = l*q(f) - 11*m(f). Differentiate v(u) wrt u. 10 Let k(j) be the third derivative of j**9/168 - j**6/120 - 103*j**5/60 + 5*j**2 - 12*j. Find the third derivative of k(t) wrt t. 360*t**3 - 6 Let x(f) be the first derivative of 51*f**4/4 - f**2 + 352*f + 329. Differentiate x(n) wrt n. 153*n**2 - 2 Let k(g) be the second derivative of -11/6*g**3 + 0*g**5 + 0*g**6 + 12*g + 0*g**4 + 2/7*g**7 + 0 + 0*g**2. Find the second derivative of k(o) wrt o. 240*o**3 Let l(p) = -286*p - 27. Let j(t) = -280*t - 29. Let b(v) = 5*j(v
{ "pile_set_name": "DM Mathematics" }
8*b**2 - 21*b**2. Let w(l) = -3*d(l) + 2*q(l). Determine n(w(t)). -99*t**4 Let k(b) be the first derivative of b**5/10 + b**3/3 - 2. Let f(v) be the third derivative of k(v). Let l(s) = 23 - s - 23. Give f(l(m)). -12*m Let v(b) be the first derivative of -7*b**2/2 - 10. Let r(g) = g - 3*g - g + g. Determine r(v(w)). 14*w Let j(g) = -2*g - 613. Let f(i) = 20*i + 2. What is j(f(n))? -40*n - 617 Suppose 0 = 3*n - 5*f - 33, 4*n - f = 3*f + 36. Let v(t) be the second derivative of 1/6*t**3 + 0 + n*t + 0*t**2. Let k(m) = 3*m**2. What is v(k(o))? 3*o**2 Let r(d) = 11*d. Let a(b) be the first derivative of -5*b**2 + 33. Give r(a(s)). -110*s Let g(s) = -4*s. Let b be (0 + 1)/(((-3)/6)/(-1)). Let d(i) = i**2 - 5*i - 4. Let v be d(6). Let w(c) = 9*c + v*c**b - 9*c. What is g(w(y))? -8*y**2 Let p(l) = 15*l + 72. Let b(s) = 7*s + 32. Let q(f) = 9*b(f) - 4*p(f). Let z(d) = 2*d - 2*d - 4*d. What is z(q(m))? -12*m Let b(q) = -2*q. Let f(r) = 16688*r**2. Give f(b(c)). 66752*c**2 Let v(g) = 117*g**2 - g. Let a(h) be the first derivative of -3*h**2/2 + 767. Give a(v(t)). -351*t**2 + 3*t Let o(k) be the second derivative of -k**5/60 + 2*k**2 - 9*k. Let c(j) be the first derivative of o(j). Let q(r) = -2*r. Determine c(q(n)). -4*n**2 Let m(x) = -13*x**2 + 5. Let r(t) = -6*t**2 - 8*t**2 + 15*t**2. Calculate r(m(u)). 169*u**4 - 130*u**2 + 25 Let n(a) = 4*a**2 - 2*a**2 - 3*a**2 + 2*a**2. Let g(w) = w + 9*w + 13*w. Determine n(g(x)). 529*x**2 Let q(o) = 13*o**2 - 6*o + 6. Let s(f) = 28*f**2 - 13*f + 13. Let w(z) = -13*q(z) + 6*s(z). Let r(l) = -14*l**2. Calculate w(r(t)). -196*t**4 Let y(q) = 4*q + 6. Let b(r) = 22*r + 32. Let w(p) = 3*b(p) - 16*y(p). Let h(m) = -m**3 + m**2 + m + 2. Let k be h(0). Let d(g) = -2 - 8*g**k + 2. Give w(d(f)). -16*f**2 Let r(k) = 3*k + k + 4*k. Let p(o) be the second derivative of -o**6/120 + 4*o**3/3 - 8*o. Let h(n) be the second derivative of p(n). Determine r(h(i)). -24*i**2 Let o(g) be the second derivative of 23*g**4/12 + 18*g. Let s(u) be the first derivative of -u**2/2 + 8. Give s(o(z)). -23*z**2 Let j(x) = -6*x - 28. Let n(u) = 4*u**2 - 19*u. What is n(j(y))? 144*y**2 + 1458*y + 3668 Let p(z) = 3*z. Let q(j) = -34296*j. Give p(q(m)). -102888*m Let p(n) = 0 - 11*n + 0. Let g(o) be the third derivative of 0*o**4 + 29*o**2 + 0*o**3 + 0*o + 0 + 1/60*o**5. Determine p(g(s)). -11*s**2 Let y(g) = 2*g. Let w(z) = 449738 - 449738 + 3*z**2. Determine w(y(b)). 12*b**2 Let k be (-1 + -8)*(-12)/18. Let u(y) = -5*y - k*y - 5 + 0*y. Let h(w) = -39*w - 18. Let j(a) = -5*h(a) + 18*u(a). Let i(p) = 2*p. Give i(j(v)). -6*v Let s(a) = 22*a + 5. Let f(b) = 475*b - 12 - 10 - 574*b. Let y(q) = -5*f(q) - 22*s(q). Let c(r) = -2*r**2 - 2*r**2 + 6*r**2. Give y(c(d)). 22*d**2 Let a(k) = -3*k**2. Let y(v) = -42598*v. What is a(y(z))? -5443768812*z**2 Let a(o) = -11*o**2 - 45. Let b(d) = 7*d**2 - 11*d - 33. Let y(x) = -2*x**2 + 3*x + 9. Let h(z) = -6*b(z) - 22*y(z). What is a(h(i))? -44*i**4 - 45 Let k(j) be the third derivative of j**5/30 + 33*j**2 - 8*j. Let q(o) = -231*o + 1. Give k(q(y)). 106722*y**2 - 924*y + 2 Let h(l) = 39*l**2. Let t(n) = -10*n + 10. Determine h(t(f)). 3900*f**2 - 7800*f + 3900 Let p(i) = -21*i**2. Let g be 26565/18 + (-1)/(-6). Let c(t) = 2*t + 1476 - g. Calculate c(p(n)). -42*n**2 Let f(i) = 3*i. Let o = -7 + 12. Let m(c) be the first derivative of 4 - 6 - o*c**2 + 4*c**2 + 5*c**2. Give m(f(h)). 24*h Let g(o) = -o. Let q(b) = 6699*b + 232. Let d(x) = 87*x + 3. Let i(f) = 232*d(f) - 3*q(f). Determine i(g(l)). -87*l Let z(a) = -a - 2*a + 8*a + 4*a. Let m(v) = -13*v. Let q(i) = 2*i. Let o(b) = m(b) + 6*q(b). Determine o(z(l)). -9*l Let b(c) = 2*c**2. Let s(w) = -1162*w. Determine s(b(a)). -2324*a**2 Let t(i) = -3*i + 16. Let z(u) = -191*u. What is z(t(g))? 573*g - 3056 Let u(n) = -2*n + 14. Suppose -11264 = -2*j + 3*r, j + 4*r - 5643 = -0*r. Let k(a) = -a**2 + j - 5635 - a**2. Determine u(k(y)). 4*y**2 + 14 Let r(n) be the first derivative of -3*n**3 + 38. Let o(f) be the third derivative of -1/12*f**4 + 0*f + 0 + 0*f**3 - 3*f**2. Determine o(r(j)). 18*j**2 Let p(f) = -2*f. Let u be (7 + -12)*(-2 + (-24)/(-15)). Let w(h) = -u*h**2 - 2*h**2 + h**2 + 0*h**2. Determine w(p(i)). -12*i**2 Let n(l) = 19 + 15 + 16 + 5*l**2 - 50. Let c(q) = 4*q - 2*q + q. What is n(c(p))? 45*p**2 Let c(g) = -g. Let h(z) = 56261*z. Give c(h(j)). -56261*j Let p(z) = z. Let h(m) = -15*m - 11. Let l be 6/(-4 - -5)*-1. Let o(b) = 0*b - b - b + b - 1. Let w(s) = l*h(s) + 66*o(s). What is p(w(d))? 24*d Let j(g) be the third derivative of g**4/24 - 22*g**2. Let b(r) be the first derivative of -22*r**3/3 + 9. Determine b(j(c)). -22*c**2 Let g be 36/72*7*2. Let c(a) be the second derivative of -g*a + 0*a**2 + 0 + 1/6*a**3. Let r(u) = -10*u**2. What is c(r(d))? -10*d**2 Let b(o) = -51*o + 11*o + 20*o + 21*o. Let w(l) = -5*l + 7*l**2 + 5*l. Give w(b(z)). 7*z**2 Let t(v) = -6*v**2 - 30*v + 5. Let x(s) = -5*s**2 - 36*s + 6. Let p(z) = 6*t(z) - 5*x(z). Let y(f) = 17*f + 2. Calculate y(p(a)). -187*a**2 + 2 Let o(m) = m**2. Suppose 0 = 3*a - 7 - 5. Suppose a*j - j = 15. Let f(r) = 5 - j*r - 3 - 2. Calculate o(f(k)). 25*k**2 Let f(p) = -p. Let d(a) = -2*a + 215134. Give d(f(t)). 2*t + 215134 Let z(v) = 9*v**2. Suppose -c = -3*b + 9, b + c = 5*b - 11. Let s(u) = 2*u + 4*u - b*u. What is s(z(o))? 36*o**2 Let v(p) = 106*p - 9 - 11 - 2 + 22. Let z(q) = 2*q**2. Calculate z(v(f)). 22472*f**2 Let a(u) be the third derivative of -u**5/20 - u**3/2 + u**2 + 43. Let w(d) = -3*d. Determine w(a(i)). 9*i**2 + 9 Let l(y) = 3*y. Let f = 2 - 1. Suppose d - 5*q = -16, 3*d + 2*q - 32 = -12. Let p(g) = -d*g - f + 1. Determine p(l(k)). -12*k Let k(s) = 38*s + 35*s - 72*s. Let r(p) = 124*p. Give r(k(h)). 124*h Let m(w) = -w**2. Let v = -121 + 124. Let x(h) = 6 - 9 + 3 + v*h**2. Give x(m(z)). 3*z**4 Let r(w) = 2*w. Let i(a) = 249*a - 6 - 234*a + 6 - 18*a**2 - 2*a**2. Determine i(r(m)). -80*m**2 + 30*m Let x(k) = 1 - 1 + 3*k**2. Let s(q) = -81*q. Let f be (-18)/15*-15*-1. Let p(i) = 23*i. Let j(n) = f*p(n) - 5*s(n). Give j(x(b)). -27*b**2 Let v(p) be the third derivative of 7*p**4/24 + p**2 - 410. Let d(j) be the second derivative of -j**4/3 + 2*j. Give v(d(k)). -28*k**2 Let p be (-156)/(-1716) + 21/11. Let a(g) be the second derivative of 1/6*g**3 + 0*g**p + 0 + 3*g. Let v(z) = -3*z. Calculate a(v(m)). -3*m Suppose -3*q + 15 = 3*j, -3*j - 5*q + 9 = -2*j. Let s(f) = j*f + 0*f - f - 7*f. Let t(x) = -9*x**2. Determine t(s(n)). -144*n**2 Let g(m) be the second derivative of 205*m**3/6 - 4*m - 10. Let p(i) = -2*i. Determine p(g(r)). -410*r Let g(c) be the first derivative of 101*c**3/3 + 2. Let f(w) = -8*w**2 + 7. Let j(x) = -7*x**2 + 6. Let n(h) = 6*f(h) - 7*j(h). Give g(n(a)). 101*a**4 Let n(d) = -7*d. Let j = 499 - 499. Let p(w) be the second derivative of 0 + 4*w - 1/6*w**3 + j*w**2. Give p(n(u)). 7*u Let r(y) = 16 + 18 - 451*y**2 + 24 - 57. Let w(h) = 3*h**2. Determine r(w(g)). -4059*g**4 + 1 Let d(h) = 2*h. Let k(r) be the second derivative of r**3/3 - 219*r**2/2 + 381*r. What is k(d(u))? 4*u - 219 Let r(u) = -u**2 - u + u. Let v(f) = 5*f**2. Let w(n) = -27*n**2. Let q = 99 + -88. Let s(a) = q*v(a) + 2*w(a). Calculate s(r(p)). p**4 Let a(b) = -5*b + 16. Let x be a(-2). Let v(k) = x*k - 53*k + 26*k. Let n(z) = 8*z**2. Calculate n(v(i)). 8*i**2 Let z(o) = -2*o**2. Let b(c) = -9*c**2 + 5 - c + 2*c**2 - c**3 + 8*c**2. Let x be b(0). Let i(a) = -a**2 - a**2 + x*a**2 + 7*a**2. What is i(z(j))? 40*j**4 Let i(u) = 6*u**2. Let m(n) = -3*n - 1298. Determine i(m(o)). 54*o**2 + 46728*o + 10108824 Let x(k) = 3*k. Let i(r) = 88865*r. Calculate i(x(j)). 266595*j Let x(w) = -12*w**2 - w**2 + 14*w**2. Let h(q) = -1 - 8*q + 33*q + 1. Determine h(x(k)). 25*k**2 Let a(o) = 2*o**2. Let h(w) = -617*w + 142. What is h(a(i))? -1234*i**2 + 142 Let u(b) = 84*b**2 - 4*b - 8. Let v(h) = -253*h**2 + 11*h + 22. Let m(w) = -11*u(w) - 4*v(w). Let c(i) = 3*i. Give c(m(a)). 264*a**2 Let g(r) = 5*r. Let l(d) = 15*d**2 + 10*d - 2. Let q(s) = -7*s**2 - 6*s + 1. Let o(n) = -6*l(n) - 10*q(n). Give g(o(i)). -100*i**2 + 10 Let b(o) = 2*o**2 - 40*o - 77. Let l(u) = 26*u. Give b(l(f)). 1352*f**2 - 1040*f - 77 Let d(f) = -10849*f. Let i(r) = 2*r - 15. What is i(d(p))? -21698*p - 15 Suppose k - p - 22 = 0, 0*k - k = 4*p - 2. Let y = 20 - k
{ "pile_set_name": "DM Mathematics" }
= -5.5 + 5. What is the closest to -3 in m, -0.4, -0.1? m Let j be (-3 + 30/9)*-2. Let u = -6 + 3. What is the nearest to 0 in j, u, -4/5? j Let f = 2 + -7. Which is the closest to 0? (a) -6 (b) 1 (c) f b Let v = -1.2 - -0.8. What is the nearest to 1/3 in -4, 0, v? 0 Let s = -258 - -258. Suppose u = 2 - 3. Let y = -0.1 - 0.1. Which is the closest to u? (a) y (b) s (c) 0.4 a Let g = -0.28 - 0.02. Let t = -109 - -108. Let l = 1.2 + -0.2. Which is the nearest to g? (a) 3 (b) l (c) t c Let m = 0.2 - 0.3. Let b = 1.93 + -0.03. Let u = -0.1 - b. What is the nearest to -1 in u, -2/11, m? -2/11 Let w be (-65)/39*(3/4)/(-1). Which is the nearest to 0.1? (a) 6 (b) -2 (c) w c Let x(u) = u**2 - 8*u - 7. Let n be x(9). Suppose 0*o = -3*g + 3*o, -g = n*o. Which is the closest to g? (a) -5 (b) 0 (c) -0.3 b Let t(s) = -38*s - 1. Let v be t(-1). Suppose 3*n = 7 - v. Let r be -5*(-1 + (-4)/n). What is the closest to 0.1 in -0.1, r, -0.3? -0.1 Let z = -0.5 - -0.31. Let u = z + 0.09. Which is the closest to u? (a) -2/5 (b) 1/3 (c) -0.3 c Let u be 44/(-5) + 0/(-4). Let l = -47/5 - u. Suppose 0 = 5*g + 25, 5*b + 16 = -2*g + 1. What is the nearest to b in -0.1, l, -1? -1 Let x = -44 - -48. Let p = -9 + 5. What is the nearest to 2/7 in x, p, 0? 0 Let h = 0.59 - 0.59. What is the closest to 1/2 in 6/5, h, 24? h Let g = 26 - 25. What is the closest to g in 0.1, 2, 6/7? 6/7 Let g = 9 + -12. What is the nearest to 0 in 0.1, 4, g? 0.1 Let r(j) = j + 11. Let k be r(-5). Let m = -13/2 + k. Let h = -0.8 - -4.8. What is the closest to 0 in 5, h, m? m Let w = 5.1 + -5. Let g = -1.8 + 1.5. Which is the nearest to w? (a) g (b) -4 (c) 0.3 c Let i = 54 + -58. Let o = -0.36 - -0.06. Let g = 0.1 - 0. Which is the nearest to g? (a) o (b) 5 (c) i a Let x = -5.5 + 5. What is the nearest to 0 in x, -2, 5? x Let z be (4 - 2 - (2 - 0))*-1. Suppose i + 3 = -4*s - 6, -15 = -5*s + 4*i. Let v be 1 + (s - (-2 - -3)). Which is the nearest to z? (a) 2/5 (b) v (c) 5 a Let t = 277 - 272.14. Let n = t + 0.14. What is the closest to -0.1 in -5, n, 0.1? 0.1 Suppose -g = 2 - 1. Which is the nearest to g? (a) -0.5 (b) -1/4 (c) 2/57 a Suppose 2*w - 7*q - 5 = -2*q, 0 = -5*w - 2*q - 31. Which is the nearest to w? (a) -5 (b) -2/3 (c) -1/10 a Let g = -0.22 + 0.12. Which is the closest to g? (a) 2/5 (b) 0 (c) -5 b Let q = -3 + 2. Let o = 373 + -377. What is the nearest to -2 in o, q, -2/7? q Let l be (-17 + 18)*2/10. What is the nearest to 2/7 in 1/3, 0, l? 1/3 Suppose -2*q + 0*q = 0. Let y(l) = -l**2 + 3*l - 7. Let g be y(5). Let v = g - -15. Which is the nearest to q? (a) 5 (b) v (c) -0.1 c Let a = -7.9 - -9. Let y = a + -0.1. Suppose -2*n + 0 = 6. What is the nearest to y in -0.1, 0.3, n? 0.3 Suppose 3*p + 7 - 22 = 0. Which is the closest to -2? (a) p (b) 0.4 (c) -0.4 c Suppose 23 = 4*t + 7. Which is the closest to 1/3? (a) 1/12 (b) t (c) -1/2 a Let n be 3 - (22/(-26) + 4). What is the nearest to 12 in 0.2, n, -2/5? 0.2 Suppose -4*m - 12 = 0, -4*p - m + 35 = -6*m. Which is the nearest to -3? (a) p (b) 4 (c) -0.2 c Let d = 3/10 + -1/20. Let z = -0.07 - -0.37. Which is the closest to d? (a) z (b) 5 (c) -4 a Let o be -1*(11/(-3) - -4). Let w = -0.2 - -0.1. What is the closest to w in -3, o, 5? o Let k = 5 - 10. Which is the nearest to 1? (a) 1 (b) -1 (c) k a Let w = 0.9 - -9.1. Let v = 6 - w. Let i = -10 - -9. Which is the nearest to i? (a) -4/7 (b) -1/4 (c) v a Suppose 8*u + 15 = 3*u. Let s = -5 - u. Let c = -1 - s. What is the closest to -1/2 in -2/13, c, -1? -2/13 Let o be (1/(-1))/(2/(-4)). Suppose -d = 4*d - o*k + 11, 0 = 4*d + 3*k - 5. Let v be (d/10)/((-1)/(-4)). Which is the nearest to v? (a) -1 (b) 1 (c) -5 a Let i(x) = -x - 5. Let m be i(-7). Let v be (-9)/(-30)*(-20)/(-24). Suppose 0 = -0*n - n. Which is the closest to n? (a) -1 (b) v (c) m b Let f = -0.09 - 13.01. Let p = -13 - f. Which is the nearest to p? (a) -3 (b) -5 (c) 0.1 c Let i = -95 + 286/3. Which is the nearest to 0.5? (a) i (b) -0.2 (c) 0.04 a Let g = -58 - -63. Which is the closest to 3? (a) -6 (b) g (c) 1/3 b Suppose 0 = 2*s - 2, 0*a = -2*a + 3*s - 11. Let c be (2/a)/(4/8). Let q be 1/(-2)*(-1 - -1). What is the nearest to q in 0.3, c, 0.4? 0.3 Let n = 0.05 + -0.25. Which is the nearest to -0.2? (a) n (b) 0.5 (c) -1 a Let d = -1 - -1. Let b be (2/(-6) - d)/(-1). Let q be (4/(-18))/(5/15). What is the nearest to q in 4, -2, b? b Let k be (-456)/18 - (-2)/(-3). Let i be k/(-56) - (-10)/35. Which is the closest to 2/7? (a) i (b) 0.2 (c) 0.3 c Let j = -0.64 - -0.04. Let m = 5.6 + j. What is the closest to -1 in 4, m, -4? -4 Suppose -5*s = -26 + 76. Let t = s - -7. Let f = -0.03 + -0.37. Which is the nearest to 1? (a) f (b) -5 (c) t a Let l(c) = 2*c**2 + 4*c + 3. Let b be l(-2). What is the nearest to -0.1 in 7/2, 4, b? b Suppose -3*n - n = t, 0 = 2*n - t + 6. Which is the nearest to 1/3? (a) 2/3 (b) n (c) 5 a Let d be 1/(-6) - (-1)/(-6). Which is the nearest to -0.1? (a) 4 (b) d (c) -1/5 c Suppose -4*t + 3*r + 32 = 0, 2*t + r - 4*r = 22. What is the closest to -2/7 in t, 17, -1/2? -1/2 Let u = 4.9 + -5. Which is the nearest to u? (a) -3/2 (b) -2/7 (c) -3 b Let z = -48/25 + 574/325. Which is the closest to 0? (a) 0.4 (b) z (c) 1/2 b Let d = -0.56 - 1.44. Let k = 0.6 - 0.2. What is the closest to 0.1 in k, d, -5? k Let r = -84 - -84.1. Let t = -0.04 + 0.34. Which is the closest to r? (a) t (b) 0.2 (c) -3/2 b Let t be ((-8)/42)/(4/6). Let v = 4 + -9. Which is the nearest to t? (a) 1 (b) v (c) 3 a Let r = 3 - 4. Let m = 2 + -2.2. Let q = m - -0.7. Which is the closest to r? (a) q (b) -0.1 (c) 1 b Let k = 7.7 + -8. Let l = 1/109 + 191/2943. Let z = 85/54 - l. Which is the nearest to 0.1? (a) k (b) z (c) 0.4 c Let w = -33 - -33.2. What is the closest to 0 in -3, -5, w? w Let z = 44 - 133/3. Which is the closest to z? (a) 0.1 (b) 5/2 (c) 1 a Let x = 4 + -4. Let h = 0 + 1. Let m = 0.03 + -0.43. What is the nearest to x in 0.2, h, m? 0.2 Let v = -19.91 - -20. Let f = 0.09 - v. What is the closest to f in 0, 0.5, 2? 0 Suppose 4*q - 4*o = -4, -q + 6*q = -o + 19. Suppose 9 = -d + 2*f - 0*f, q*d - 3*f + 12 = 0. Let p = 2 + -1. Which is the nearest to p? (a) d (b) 0 (c) 0.2 a Let d = -270 + 266.01. Let t = 5 - 5.01. Let q = d + t. Which is the nearest to 1? (a) -2/9 (b) 0.3 (c) q b Let v be 10/6 + (-27)/18. Which is the closest to -1? (a) v (b) -3 (c) 1/4 a Let b be (-19)/190*(-10)/(-4). What is the nearest to 0 in 0.2, b, 0.1? 0.1 Let q = 1.2 - 0.2. Let r = -0.2 + 3.2. Let h be (-9)/21 - (-125)/(-35). Which is the nearest to q? (a) r (b) h (c) -4/3 a Let f be (-4)/16 + 17/20. Let t = -0.97 + -0.03. What is the nearest to t in -3, -0.4, f? -0.4 Let u = 27 - 33. What is the closest to 1 in 2/11, -4, u? 2/11 Let v(t) = -t**2 + 5*t + 9. Let r be v(7). Let o be 2/4 - 25/90. Which is the nearest to 2/5? (a) o (b) r (c) -2/13 a Let x(m) = -m + 7. Let v be x(11). Which is the closest to -0.1? (a) -1 (b) v (c) 0.5 c Let s(m) = m**3 - 10*m**2 + 8*m + 8. Let i be s(9). Which is the closest to -2/5? (a) i (b) 3 (c) 1 a Let v(s) = -s**2 + s - 94. Let i be v(0). Let w = 660/7 + i. Which is the closest to 2? (a) w (b) 0.1 (c) 2 c Let f = 13.1 - 14. Let q = 0.5 + f. Suppose -4 = -0*z - 4*z. What is the nearest to z in 0.4, -2, q? 0.4 Let l = -5.08 + 0.08. What is the closest to 2 in l, -1/6, 1? 1 Let d = -0.23 - 0.07. Let s be 3*(-116)/(-144) - 3. Let v = -149/132 - s. What is the closest to 0 in v, -5, d? d Let n be (-2 - -1)*(6 + -4). Let m be 81/12 - 1 - 0. Let w = 29/4 - m. Which is the nearest to -2/5? (a) w (b) 1 (c) n b Let l = -1 + 1. Let k = 3.3 - 3.4. Which is the closest to k? (a) -0.5 (b) l (c) 1/3 b Suppose 5*m = 2*w - 33, -4*m - 23 = -3*w + 9. Let d = 4 - -3. Let y = d - 2. What is the nearest to 0 in y, -2, w? -2 Let t = 58 - 83. Let o = -24 - t. Which is the closest to 0.5? (a) o (b) -0.3 (c) -5 a Suppose 0 = -3*u - 3. Let x be (u - 4/(-6))*3. What is the nearest to x in -1, -2/5, -1/3? -1 Let l = 69 - 68.9. Which is the nearest to l? (a) 2/19 (b) -0.01 (c) -4/7 a Let m be (12/(-18))/(1*6). Let z be (-5)/2*6/(-5). Which is the nearest to 3? (a) m (b) z (c) 1/7 b Let g be 2/3*(-2)/6. Let l be -4*15/(
{ "pile_set_name": "DM Mathematics" }
1) Factor 7*c**5/12 - 3*c**4/4 + c**3/6. c**3*(c - 1)*(7*c - 2)/12 Factor -2*h**4 + 66*h**3 + 2*h**2 - 66*h. -2*h*(h - 33)*(h - 1)*(h + 1) Factor -2*r**2/5 + 16*r + 1792/5. -2*(r - 56)*(r + 16)/5 Solve 2*j**2 - 2*j - 60 = 0 for j. -5, 6 Solve -5*d**4 - 70*d**3 - 345*d**2 - 700*d - 500 = 0 for d. -5, -2 Let 218*q**3/15 + 424*q**2/15 + 194*q/15 - 4/5 = 0. Calculate q. -1, 6/109 Solve 2*z**5 - 158*z**4/15 + 212*z**3/15 - 8*z**2/15 - 16*z/5 = 0 for z. -2/5, 0, 2/3, 2, 3 Factor -p**3/2 + 7*p**2 - 25*p/2 + 6. -(p - 12)*(p - 1)**2/2 Find g, given that -2*g**2/3 - 34*g + 560/3 = 0. -56, 5 Determine q, given that 3*q**3/4 + 99*q**2/4 - 675*q/4 + 1053/4 = 0. -39, 3 Factor -3*v**2/4 + 87*v/4 + 585/2. -3*(v - 39)*(v + 10)/4 Find j, given that j**4/7 + 51*j**3/7 + 765*j**2/7 + 2921*j/7 + 3174/7 = 0. -23, -3, -2 Solve -4*n**5 - 16*n**4 + 12*n**3 + 136*n**2 + 208*n + 96 = 0 for n. -2, -1, 3 Let o**2/2 + 75*o - 152 = 0. What is o? -152, 2 Factor 3*g**2/4 + 27*g/4 + 15. 3*(g + 4)*(g + 5)/4 Factor 5*a**3/4 - 550*a**2 + 4385*a/4 - 1095/2. 5*(a - 438)*(a - 1)**2/4 Solve -45*d**5 + 120*d**4 + 85*d**3 - 100*d**2 - 60*d = 0. -2/3, 0, 1, 3 Solve 2*o**2/13 - 732*o/13 + 66978/13 = 0 for o. 183 Determine p so that -2*p**4 + 40*p**3 - 36*p**2 - 40*p + 38 = 0. -1, 1, 19 What is v in v**3 - 3*v**2 - 46*v + 48 = 0? -6, 1, 8 Factor l**2/3 + 4678*l/3 + 5470921/3. (l + 2339)**2/3 Factor -3*a**3 + 18*a**2. -3*a**2*(a - 6) Factor -2*i**4/9 + 4*i**3/3 + 10*i**2/3 + 16*i/9. -2*i*(i - 8)*(i + 1)**2/9 Factor -i**3/2 + 5*i**2/2 + i/2 - 5/2. -(i - 5)*(i - 1)*(i + 1)/2 Let 4*s**5 + 16*s**4 + 4*s**3 - 40*s**2 - 16*s + 32 = 0. What is s? -2, 1 Factor 4*t**2 + 172*t. 4*t*(t + 43) Factor -2*x**3 + 16*x**2 - 34*x + 20. -2*(x - 5)*(x - 2)*(x - 1) Find h such that 2*h**4 - 20*h**3/3 - 40*h**2/3 + 80*h/3 + 64/3 = 0. -2, -2/3, 2, 4 Factor y**5 + 2*y**4 - 68*y**3 - 424*y**2 - 896*y - 640. (y - 10)*(y + 2)**2*(y + 4)**2 Find n such that -4*n**5/5 + 104*n**4/5 - 72*n**3 + 32*n**2 + 364*n/5 - 264/5 = 0. -1, 1, 3, 22 Factor 3*l**2 + 534*l - 537. 3*(l - 1)*(l + 179) Factor -3*b**4/4 + 15*b**3 - 75*b**2. -3*b**2*(b - 10)**2/4 Factor -37*v**3/7 + 367*v**2/7 - 895*v/7 - 75/7. -(v - 5)**2*(37*v + 3)/7 Suppose -2*f**5/17 + 2*f**4/17 + 10*f**3/17 + 6*f**2/17 = 0. What is f? -1, 0, 3 Factor -4*f**2 - 11480*f - 8236900. -4*(f + 1435)**2 Factor q**5 - 74*q**4 + 1573*q**3 - 7548*q**2 + 10404*q. q*(q - 34)**2*(q - 3)**2 Find y, given that -4*y**3/3 + 128*y**2/3 - 1024*y/3 = 0. 0, 16 Factor h**2/5 - 42*h/5 + 392/5. (h - 28)*(h - 14)/5 Let -3*v**3/2 + 3423*v**2/2 - 974697*v/2 - 978123/2 = 0. Calculate v. -1, 571 Factor -l**3/5 - 82*l**2/5 - 833*l/5 + 38416/5. -(l - 16)*(l + 49)**2/5 Factor -5*w**5 - 65*w**4 - 245*w**3 - 395*w**2 - 290*w - 80. -5*(w + 1)**3*(w + 2)*(w + 8) Factor -2*j**3 + 110*j**2/3 - 12*j. -2*j*(j - 18)*(3*j - 1)/3 Let t**2/3 + 55*t/3 + 68 = 0. Calculate t. -51, -4 Suppose -9*u**4/7 - 3*u**3/7 + 96*u**2/7 - 132*u/7 + 48/7 = 0. What is u? -4, 2/3, 1, 2 Factor -2*d**2/7 + 46*d/7 - 12. -2*(d - 21)*(d - 2)/7 Factor z**4 + 10*z**3 + 24*z**2 + 22*z + 7. (z + 1)**3*(z + 7) Factor -o**5/8 - 17*o**4/2 + 231*o**3/2 - 360*o**2. -o**2*(o - 6)**2*(o + 80)/8 Factor -2*s**5 - 2*s**4 + 6*s**3 + 10*s**2 + 4*s. -2*s*(s - 2)*(s + 1)**3 Suppose -4*c**4 - 528*c**3 - 16888*c**2 + 35376*c - 17956 = 0. Calculate c. -67, 1 Find i such that -4780*i**5/7 - 12458*i**4/7 - 8682*i**3/7 + 902*i**2/7 + 274*i + 12/7 = 0. -1, -3/478, 2/5 What is q in -32*q**4/13 + 9840*q**3/13 - 753986*q**2/13 - 378840*q/13 - 47432/13 = 0? -1/4, 154 Find i such that -5*i**5 - 40*i**4 + 1780*i**3 + 5530*i**2 + 5585*i + 1870 = 0. -22, -1, 17 Factor -b**4/4 - 11*b**3/2 - 33*b**2 - 85*b/2 + 325/4. -(b - 1)*(b + 5)**2*(b + 13)/4 Solve 3*a**4/7 - 2844*a**3/7 + 1011042*a**2/7 - 159744636*a/7 + 9464869683/7 = 0 for a. 237 Determine t so that t**2/6 - 40*t/3 + 79/6 = 0. 1, 79 Factor -867*y**3/5 - 9282*y**2/5 - 2592*y + 69984/5. -3*(y - 2)*(17*y + 108)**2/5 Factor -g**4/3 - 4*g**3 - 43*g**2/3 - 8*g + 80/3. -(g - 1)*(g + 4)**2*(g + 5)/3 Factor 3*w**5 - 24*w**4 - 18*w**3 + 168*w**2 - 201*w + 72. 3*(w - 8)*(w - 1)**3*(w + 3) Find k such that -k**5/4 - 3*k**4/4 - k**3/4 + 3*k**2/4 + k/2 = 0. -2, -1, 0, 1 Suppose -6*s**5 + 10*s**4 + 10*s**3 - 10*s**2 - 4*s = 0. Calculate s. -1, -1/3, 0, 1, 2 Factor -1083*f**4 - 4446*f**3 - 4791*f**2 - 468*f - 12. -3*(f + 2)**2*(19*f + 1)**2 Let -4*h**4 + 68*h**3 + 276*h**2 - 740*h + 400 = 0. What is h? -5, 1, 20 Factor 29*v**3/4 - 25*v**2/2 - 4*v. v*(v - 2)*(29*v + 8)/4 Factor 5*k**5 - 85*k**3 - 180*k**2 - 100*k. 5*k*(k - 5)*(k + 1)*(k + 2)**2 Solve -t**5/3 + 17*t**4/3 - 104*t**3/3 + 280*t**2/3 - 112*t + 48 = 0 for t. 1, 2, 6 Let -3*g**3/4 + 181*g**2/2 + 123*g/4 - 121/2 = 0. Calculate g. -1, 2/3, 121 Determine v, given that -3*v**2 + 642*v + 6720 = 0. -10, 224 Let -s**3 + 31*s**2 + 213*s + 333 = 0. What is s? -3, 37 Find f, given that 3*f**2 - 474*f - 3984 = 0. -8, 166 Factor 2*u**3 + 4950*u**2 + 9894*u + 4946. 2*(u + 1)**2*(u + 2473) Let -4*s**5 + 108*s**4 - 1080*s**3 + 4968*s**2 - 10692*s + 8748 = 0. Calculate s. 3, 9 Suppose -2*z**4/7 + 4*z**3/7 + 234*z**2/7 + 180*z/7 - 1296/7 = 0. What is z? -9, -3, 2, 12 Factor -3*h**2 + 14*h + 5. -(h - 5)*(3*h + 1) Factor -4*d**2/3 + 64*d - 188/3. -4*(d - 47)*(d - 1)/3 Let 2*o**3 + 404*o**2 + 802*o + 400 = 0. What is o? -200, -1 Determine p, given that -2*p**2 + 10*p = 0. 0, 5 Factor 9*i**2 + 195*i - 66. 3*(i + 22)*(3*i - 1) Factor -a**3 - 126*a**2 - 249*a - 124. -(a + 1)**2*(a + 124) Find y, given that -y**3 + 63*y**2 - 123*y + 61 = 0. 1, 61 Solve -2*z**2/5 + 62*z/5 = 0 for z. 0, 31 Suppose 15*s**4 + 25*s**3 - 5*s**2 - 25*s - 10 = 0. Calculate s. -1, -2/3, 1 Let 4*h**5 - 24*h**4 + 56*h**3 - 64*h**2 + 36*h - 8 = 0. Calculate h. 1, 2 Find h, given that -15*h**2/7 - 687*h/7 + 138/7 = 0. -46, 1/5 Factor 2*z**3/5 - 32*z/5. 2*z*(z - 4)*(z + 4)/5 Suppose -4*c**2/3 + 68*c/3 - 64/3 = 0. What is c? 1, 16 Find m such that 16*m**4 - 228*m**3 + 212*m**2 = 0. 0, 1, 53/4 Factor -3*m**2/5 - 15*m - 138/5. -3*(m + 2)*(m + 23)/5 Factor 5*n**2/4 - 61*n/4 + 3. (n - 12)*(5*n - 1)/4 Factor -2*u**3/5 - 28*u**2/5 + 154*u/5 + 36. -2*(u - 5)*(u + 1)*(u + 18)/5 Suppose 2*q**3/5 + 4*q**2/5 - 2*q/5 - 4/5 = 0. What is q? -2, -1, 1 Factor -5*o**2/3 + 20*o + 75. -5*(o - 15)*(o + 3)/3 Let 4*d**3 - 56*d**2 + 140*d + 200 = 0. What is d? -1, 5, 10 Find f, given that -4*f**5/7 - 8*f**4/7 + 4*f**3 + 32*f**2/7 - 48*f/7 = 0. -3, -2, 0, 1, 2 Solve -v**4/7 + 114*v**3/7 = 0. 0, 114 Factor -k**2/4 + 39*k/2 - 1521/4. -(k - 39)**2/4 Factor -s**3 - s**2. -s**2*(s + 1) Determine z so that 147*z**5 - 3297*z**4 + 9693*z**3 - 2019*z**2 - 3840*z - 684 = 0. -2/7, 1, 3, 19 Solve 4*w**2 + 1220*w + 2424 = 0. -303, -2 Suppose -f**2/3 - 88*f/3 + 89/3 = 0. Calculate f. -89, 1 Factor 3*m**4/4 - 6933*m**3 + 48066489*m**2/2 - 37027218693*m + 85569902399523/4. 3*(m - 2311)**4/4 Factor 4*m**5 + 8*m**4 + 4*m**3. 4*m**3*(m + 1)**2 Factor -2*f**2 - 1180*f - 174050. -2*(f + 295)**2 Factor 4*b**4 - 132*b**3 - 1404*b**2 - 4428*b - 4536. 4*(b - 42)*(b + 3)**3 Factor -2*v**4/5 - 2232*v**3/5 - 620492*v**2/5 + 1247688*v/5 - 624962/5. -2*(v - 1)**2*(v + 559)**2/5 Factor -2*n**4 - 2*n**3 + 34*n**2 - 30*n. -2*n*(n - 3)*(n - 1)*(n + 5) Solve -2*p**4/5 - 42*p**3/5 - 228*p**2/5 + 8*p + 240 = 0. -10, -3, 2 Factor -4*s**4/5 - 64*s**3/5 - 208*s**2/5 - 192*s/5. -4*s*(s + 2)**2*(s + 12)/5 Solve -2*i**5/9 - 4*i**4/9 + 2*i**3/9 + 4*i**2/9 = 0 for i. -2, -1, 0, 1 Solve -5*g**4/2 + 175*g**3 - 6785*g**2/2 + 11550*g - 10890 = 0 for g. 2, 33 Factor w**2/2 + 27*w/2. w*(w + 27)/2 Find s such that 5*s**4 - 160*s**3 + 1440*s**2 - 5120*s + 6400 = 0. 4, 20 Let 8*m**5/7 - 110*m**4/7 - 1200*m**3/7 - 560*m**2 - 5440*m/7 - 2784/7 = 0. Calculate m. -2, 87/4 What is p in -32*p**4/11 + 7696*p**3/11 + 75854*p**2/11 + 36482*p/11 + 4500/11 = 0? -9, -1/4, 250 Factor -6*j**2 - 1022*j + 1720. -2*(j + 172)*(3*j - 5) Solve -2*t**3/11 - 4*t**2/11 + 8*t/11 + 16/11 = 0 for t. -2, 2 What is r in 15*r**3/4 - 103*r**2/4 - 67*r/2 - 4 = 0? -1, -2/15, 8 Suppose y**5 - 7*y**3 - 2*y**2 + 12*y + 8 = 0. What is y? -2, -1, 2 Factor 3*a**3/5 - 54*a**2 + 1620*a - 16200. 3*(a - 30)**3/5 Suppose 4*w**2/13 + 3202*w/13 - 1602/13 = 0. Calculate w. -801, 1/2 Let -p**2/5 + 809*p/5 = 0. Calculate p. 0, 809 Solve -3*
{ "pile_set_name": "DM Mathematics" }
nd 0.17. -0.015725 What is the product of 0.19 and 368.366? 69.98954 Work out 0.936 * -29.6. -27.7056 2*-29603 -59206 What is the product of 395769 and 0.5? 197884.5 -35492 * 0 0 Calculate 929*-52.4. -48679.6 -9773 * -4 39092 0.5 times 0.00681 0.003405 4 * 2057 8228 -0.001*3551 -3.551 3129 * -0.4 -1251.6 5*-17.7367 -88.6835 Work out -2856 * 0.29. -828.24 Product of 0.07 and 120851. 8459.57 What is -30.5 times -0.59? 17.995 Calculate 25.78*-0.0462. -1.191036 Multiply -3 and 26428. -79284 Product of 500650 and 5. 2503250 -3305.8*-13 42975.4 Multiply -3 and -129617. 388851 Calculate 1840*325. 598000 Calculate 0.705*8. 5.64 350823*-0.5 -175411.5 What is -0.4 times -0.486694? 0.1946776 116928*-0.3 -35078.4 Product of -0.07 and 31845. -2229.15 What is 0 times -26462.6? 0 -717.262 * 0.5 -358.631 Calculate 2636*50. 131800 Calculate 0.080628*-4. -0.322512 Multiply 492400 and -5. -2462000 0.063 times -1.62 -0.10206 Multiply -22659 and 2. -45318 -98 * 3.74 -366.52 Calculate 1169*2. 2338 What is the product of 2.62 and 32? 83.84 Work out 3 * -998.613. -2995.839 What is 0 times -2046.84? 0 Product of -151263 and -2. 302526 -0.1 * 798091 -79809.1 5*-1242352 -6211760 -0.2645*122 -32.269 Work out 3 * 54992. 164976 Product of -231 and -26155. 6041805 115137*2 230274 175.44 * 3 526.32 What is 810.58 times 0.1? 81.058 Product of -14 and 2405. -33670 -74.8678*-4 299.4712 Product of -0.0577 and -4368. 252.0336 Calculate 0.445921*1.3. 0.5796973 Calculate -8689*0.4. -3475.6 Multiply -5 and 64026. -320130 -13.6 times 0.037 -0.5032 16.43877 * 2 32.87754 Work out -1.2 * 0.105. -0.126 Calculate 1.87*692. 1294.04 What is the product of 6 and -28.13? -168.78 3051 * -68.1 -207773.1 Product of -4 and -0.050392. 0.201568 -89376 * -0.3 26812.8 Calculate -0.0172*28. -0.4816 What is 79062 times -0.012? -948.744 What is the product of 259448 and 4? 1037792 What is 1458 times -81? -118098 Product of 778 and 1461. 1136658 0.04973 * 2 0.09946 What is the product of -2.79199 and 0.5? -1.395995 Work out -2566 * 3.51. -9006.66 1682 * -297 -499554 Product of 167 and 9383. 1566961 Product of 15 and -52989. -794835 -0.2 times 2638.7 -527.74 Multiply -0.0619268 and -0.06. 0.003715608 Multiply 205.68 and 5. 1028.4 What is -7 times 219? -1533 Multiply -49 and 240.2. -11769.8 -1.8 times -825 1485 Work out -630385 * 0.4. -252154 What is the product of -78310 and 0.3? -23493 -126348*0.1 -12634.8 Work out -0.4 * 125215. -50086 Multiply -0.06 and 26.7933. -1.607598 -15350.6*0.2 -3070.12 Multiply -0.097 and 526. -51.022 Multiply 49 and -46.503. -2278.647 Calculate 0.2*54.63. 10.926 1*-10886 -10886 Calculate 0.2*-5918. -1183.6 Product of -1181.83 and -0.5. 590.915 0 times 191858 0 What is the product of 5 and -1.3532? -6.766 Multiply -250.3 and 3.9. -976.17 Work out 226.36 * -4. -905.44 -77086 times -0.4 30834.4 Calculate -15.287*-4. 61.148 Multiply -5 and 0.55017. -2.75085 -2886.2 * -0.4 1154.48 What is -29 times -3363? 97527 What is the product of -4 and 0.6778? -2.7112 Calculate 335*-1.8. -603 Product of -105649 and -0.06. 6338.94 0.69*-347 -239.43 Multiply 35.6 and -5. -178 Calculate -5.54*-373. 2066.42 Multiply -493 and 53. -26129 Work out 1 * -0.3391. -0.3391 What is 0.284 times 178.9? 50.8076 Product of -0.14 and -5952. 833.28 Multiply -192934 and 4. -771736 Multiply 1.4351 and 1.6. 2.29616 Work out -1.91 * -3103. 5926.73 0.03 times -0.064569 -0.00193707 What is 191 times -1.6339? -312.0749 136777 times 0.5 68388.5 -177.2 * -7 1240.4 What is the product of -0.07 and 0.6722? -0.047054 67338 * 3 202014 -90425 times 12 -1085100 -2.9186*-18.4 53.70224 What is -14 times -1.182? 16.548 Calculate 0.08*-69.4. -5.552 Calculate 1*-14278. -14278 -221885 * -0.3 66565.5 0.3 * -1158 -347.4 What is the product of -15931.2 and -5? 79656 What is the product of 5 and -85924? -429620 Multiply 3 and -412467. -1237401 0.0557*-128.7 -7.16859 -271*-2176 589696 What is -1 times 334414? -334414 Work out -0.4 * 0.00908. -0.003632 2.4256 times -29 -70.3424 What is 788475 times 0.4? 315390 What is the product of 1 and 20.8228? 20.8228 -0.08 times 34183 -2734.64 Work out -1.5 * 8357. -12535.5 Work out -0.4 * 14.52006. -5.808024 -1466.7 times 3.8 -5573.46 Multiply -0.1552 and -7. 1.0864 -3084.2 times -0.01 30.842 -48*42806 -2054688 What is the product of 3056622 and -4? -12226488 Work out -31373.9 * 4. -125495.6 -659*9.7 -6392.3 -502*237 -118974 Calculate -2995*-0.154. 461.23 Work out -0.44 * -0.303. 0.13332 Multiply 131 and 15671. 2052901 Product of 2019 and -0.04. -80.76 Product of 54.3678 and -0.3. -16.31034 What is the product of -76 and -3189? 242364 Work out -1584.3 * -0.4. 633.72 1901 * 0.6 1140.6 1246 * -0.0652 -81.2392 787 * -385 -302995 -1403 times -21 29463 What is the product of 1.1 and 1341.2? 1475.32 Work out 0.42 * 10999. 4619.58 8 * 65.73 525.84 Calculate 0.6*195.1. 117.06 36.98 * 0.3 11.094 -1244 times -5.7 7090.8 Calculate 148*-0.201. -29.748 What is the product of 1.6 and -0.22? -0.352 What is 0.037 times 1032? 38.184 What is 141096 times 0.5? 70548 Product of -62 and 31. -1922 Multiply 688.7 and 0. 0 -0.2 times 1.149479 -0.2298958 343*-31.3 -10735.9 Product of 423436 and -0.2. -84687.2 Calculate 0.52*213. 110.76 Calculate -50*201. -10050 Work out -36192 * -5. 180960 What is the product of -3.36 and -0.41? 1.3776 -40612 * -7 284284 Multiply -34945 and -5. 174725 Multiply -1167511 and 0.3. -350253.3 20.1*9.1 182.91 What is -344.188 times -4? 1376.752 What is 54874 times 1.1? 60361.4 What is the product of -438849 and 0.5? -219424.5 Multiply -211 and -0.4641. 97.9251 -5 times -985275 4926375 What is -5.46 times 12.7? -69.342 Multiply -215 and -189.8. 40807 Work out 0.96659 * -0.4. -0.386636 -9071 * 4 -36284 What is the product of 0.374 and 3693? 1381.182 Product of 0.2 and 7408. 1481.6 Work out -415 * 0.013. -5.395 Work out -0.3 * -18.094. 5.4282 5423 times 0.48 2603.04 0.03 * 805785 24173.55 Work out -0.1 * 8.073. -0.8073 Multiply 15526 and 0.039. 605.514 Work out -320 * 1276. -408320 -1.2 * -0.914 1.0968 Multiply -43 and -25323. 1088889 What is -5 times 61068? -305340 What is the product of -1367 and -18.2? 24879.4 Calculate 3061558*5. 15307790 What is -36634 times -12? 439608 Product of -1296 and 20. -25920 447434 times -5 -2237170 -1.02919 times 0.19 -0.1955461 -0.3432*0.3 -0.10296 -51026*-0.34 17348.84 What is -0.1 times 1776.64? -177.664 What is the product of -5 and 1677.9? -8389.5 Work out -1275.44 * 17. -21682.48 What is -4 times 18.6783? -74.7132 Calculate -10864*-0.3. 3259.2 Work out 0.414077 * 0.1. 0.0414077 Work out -250675 * -12. 3008100 -26 * -163 4238 What is 2 times -5.647? -11.294 Calculate 2468519*0. 0 Calculate 952*31. 29512 1514*0.5 757 72.358 times -0.5 -36.179 What is the product of -7.8 and -2.558? 19.9524 Calculate 1*-19017. -19017 Calculate 1.665*84. 139.86 Multiply -2384 and 2.86. -6818.24 Product of -0.15491 and 21. -3.25311 Product of 3391 and 0.19. 644.29 Product of 2036 and -21. -42756 -0.003 times -1237 3.711 4 times 0.1291 0.5164 What is -75 times -16.835? 1262.625 What is 33237 times 0.1? 3323.7 Calculate -274*-9.34. 2559.16 112 times 0.17 19.04 Product of -0.70391 and -3.2. 2.252512 0.1 * -0.02847 -0.002847 Work out -20 * 161.09. -3221.8 Calculate 38*-1430. -54340 What is 0.02823 times -1.3? -0.036699 Calculate 37.76*0.081. 3.05856 Product of -1 and -224. 224 -475 times 31 -14725 Work out 18.128 * -0.3. -5.4384 -53786*0 0 What is 69 times 449? 30981 -7653 * -9 68877 0.014 * 11826.5 165.571 What is 1 times -0.0382? -0.0382 Multiply -122 and -189.1. 23070.2 Calculate 0*-33099. 0 Calculate 0.16*-103. -16.48 Multiply 0.0251 and 114. 2.8614 Product of -1.2266 and -0.5. 0.6133 -36 * 771 -27756 What is the product of -55.16 and 341? -18809.56 688 * -85 -58480 What is the product of -0.28 and 6680? -1870.4 Multiply 106.775 and -0.4. -42.71 What is the product of 0.111 and 10? 1.11 What is the product of 9.54367 and 3? 28.63101 0.1*8084.8 808.48 What is the product of 0 and 46? 0 Product of -1 and 51317. -51317 1797 times 0.1296 232.8912 Product of -360.2 and -3.5. 1260.7 Work out -0.3808 * 0.291. -0.1108128 -292958*3 -878874 What is 0 times -58.51? 0 959 times -728 -698152 Calculate 0.034*-1716.2. -58.3508 -0.4*-14806 5922.4 -0.1 times 0.37508 -0.037508 0.29 times -191222
{ "pile_set_name": "DM Mathematics" }
= 10 - -2. Is 26 a factor of (-210)/f*(-24)/15? False Suppose 4*z = 9*z - 4*p - 1030, 2*z + 3*p = 435. Is z a multiple of 13? False Suppose 0 = -5*x + 21 - 156. Let b be x/(-12) - (-2)/(-8). Suppose -4*g + f + 28 = 6*f, -b*f = -g + 20. Is 6 a factor of g? True Let a(f) = -f**3 - 5*f**2 + 2*f - 8. Is 4 a factor of a(-6)? True Let q be -2 - (4/2 - 4). Suppose q = -x + 4. Suppose -x*j + 20 = 4*t, -j = -3*j - 5*t + 16. Does 3 divide j? True Suppose 0 = -n - 5*x, 4*n = -2*x - x. Suppose -5*k + 0*k + 105 = n. Does 15 divide k? False Let q(t) = -3*t**2 - 17*t - 3. Let z(w) = w**2 + 8*w + 1. Let l(r) = 2*q(r) + 5*z(r). Let s be l(5). Is 5 a factor of (16/(-6))/s*-21? False Suppose -4*p + 86 = 4*w + p, w - 17 = p. Is w a multiple of 4? False Let t(m) = 0 + 3 + m**2 + 0. Does 14 divide t(-5)? True Let w be ((-4)/6)/(4/(-6)). Suppose 2*a - 3 = 1. Does 4 divide 0/a*w - -8? True Suppose -4*y = 16, 3*m = -5*y + 237 + 349. Is m a multiple of 31? False Suppose 0 = 3*a - 5 + 14. Let s be -2 - (1 + a)/1. Suppose -9*p + 4*p + 90 = s. Is p a multiple of 13? False Let h be 6/33 - (-60)/33. Suppose -h*t - 5*n = -75, 0 = 3*t + n - 31 - 88. Is 16 a factor of t? False Let s(o) = 23*o - 11. Is s(4) a multiple of 27? True Let g = 158 - 106. Does 9 divide g? False Let p = -87 - -133. Let a = 64 - p. Does 6 divide a? True Let v(d) = 5*d**3 - 6*d**2 - 6*d - 8. Let j(y) = -y**3 + y**2 + y + 1. Let l(n) = -6*j(n) - v(n). Let f be l(0). Suppose -3 = -f*k + 13. Is k a multiple of 4? True Let l = -2 + -3. Does 13 divide (-164)/l + 14/70? False Let w(m) be the third derivative of 1/60*m**5 - 2*m**2 + m**3 - 1/6*m**4 + 0 + 0*m. Is w(4) a multiple of 6? True Let i be (3 + (-26)/10)*-15. Does 7 divide -6*(i - (0 - 3))? False Suppose 4*z - 6 = 130. Let a = z - 22. Is 12 a factor of a? True Suppose -3*g = -7*g + 168. Suppose 0 = f + 5*i - g, -2*i + 0 = -8. Does 10 divide f? False Suppose 2*w - 100 = 12. Is w a multiple of 14? True Let x = -2 + -3. Let s(t) = t**3 + 5*t**2 - t. Does 5 divide s(x)? True Suppose -l + 3*j = 2, -5*j - 3 = -6*j. Let h = l + 17. Does 12 divide h? True Let n be ((-2)/(-5))/(1/(-5)). Let b(w) = 4*w**2 + 2 + 0*w**2 - 3*w**2. Does 6 divide b(n)? True Suppose -184 = 6*r - 454. Is 5 a factor of r? True Let c be ((-12)/(-18))/(4/(-66)). Let h(z) = z**3 + 10*z**2 - 13*z - 12. Does 10 divide h(c)? True Suppose 2*l = -i + 73, 0 = -3*l - 0*l + 4*i + 126. Is 11 a factor of l? False Suppose t + h = 230, 2*h = 2*t + 5*h - 460. Is t a multiple of 46? True Let r = 0 + -4. Let t = 3 - r. Suppose 12 = l + c, -9 = -2*l - 4*c + t. Is l a multiple of 7? False Suppose -2 = -3*x + 13. Suppose 0 = x*l + 2*c - 266, -c - 32 + 139 = 2*l. Is l a multiple of 13? True Let p(k) = 8*k - 23. Is p(22) a multiple of 51? True Suppose -r + 63 = 2*r. Is r a multiple of 21? True Let f be (-56)/8 - 1*2. Let k = 13 + f. Is 4 a factor of (-13)/((-3)/(k - 1))? False Let m(p) = p**2 - 3*p - 6. Let z be m(5). Suppose 2*u - 36 = -z*v, -4*v + 2*u - u = -24. Does 7 divide v? True Let b = -12 + 12. Suppose b*p + p = 30. Is p a multiple of 21? False Let f be 10/45 + 50/18. Let w be (3/(-2))/(f/(-42)). Let h = w + -14. Does 7 divide h? True Suppose 3*o - 40 = -3*v + 23, v = 5. Suppose -5*a - o = -171. Is a a multiple of 12? False Is 2/(-2)*-2 + 28 + -13 a multiple of 10? False Let j = -5 - -8. Suppose j*h - 12 - 9 = 0. Does 7 divide h? True Let v(i) = -i**3 + 4*i**2 + 6*i - 2. Let n = 12 + 7. Suppose 0 = -5*p - c + n, 2*c = -p + 1 + 1. Does 11 divide v(p)? True Let w = 212 - 139. Is w a multiple of 13? False Is 3 - -13*(3 + -1) a multiple of 29? True Suppose -8 = -3*m - m. Suppose m*i - 38 + 8 = 0. Does 11 divide i? False Let c be 4*-1*1/2. Let f be 18/4 - (-1)/c. Suppose 60 = a + 3*a - f*o, 4*o + 15 = a. Does 15 divide a? True Is 50 a factor of (-225)/(-12)*(224/12)/1? True Let f be 2/11 - 1365/(-55). Suppose -3*u - 4*j + f = 0, 2*u + 0*j - 17 = -3*j. Does 3 divide u? False Let i = 3 + 0. Suppose 57 = 3*x + 3*n, i*x - 2*x - 5*n = 1. Does 14 divide x? False Let i = -52 + 29. Let y = 38 + i. Is y a multiple of 4? False Suppose -x + 3*x - 10 = 0. Suppose 4*f + 45 = x*f. Is f a multiple of 25? False Let h(v) = 3*v + 32. Is h(-6) a multiple of 4? False Suppose -4*u + 5*u = -13. Let s be 1*4*u/4. Let t = 19 - s. Is 13 a factor of t? False Let t be 126/15 - (-4)/(-10). Suppose 2 = 4*g + 5*s, -4*g + 2 = s - t. Is g even? False Suppose -14 = -4*w - 2. Suppose -4*l = -w*j + 23, -2*l + 2 = 6. Suppose -4*i + j*a + 6 = -63, -a + 31 = 2*i. Is i a multiple of 16? True Suppose 2*r = 2*c - 10, -11 = 3*r + 2*c - 6. Is 11 a factor of 110/4 - r/6? False Let b = -13 + 21. Let t(w) = w**3 - 14*w**2 + 8*w. Let h(r) = -r**2 + r + 1. Let n(i) = -6*h(i) + t(i). Is 7 a factor of n(b)? False Let l(z) = 3*z - 1. Let v be l(1). Suppose 3*f = -v*f + 10. Does 14 divide f/(-7) - (-508)/14? False Suppose -3*s - 180 + 720 = 0. Does 20 divide s? True Let l(b) be the first derivative of -b**4/4 + b**2/2 + 12*b - 3. Suppose -3*t - 5*z = 7 + 3, 3*z = -3*t - 6. Is l(t) a multiple of 6? True Suppose -4*a - 5*h = -221, 103 = 2*a - 7*h + 2*h. Let m = -34 + a. Is 10 a factor of m? True Let n = 61 + 46. Is n a multiple of 12? False Let d(j) = -j**3 + j**2 + j + 29. Let l be d(0). Let i = l + -21. Is 8 a factor of i? True Let v(n) be the first derivative of n**3/3 + 36*n + 10. Suppose 2*i - 3*i = 0. Is v(i) a multiple of 18? True Let m(y) = 2*y**3 - 11*y**2 + 11*y + 5. Is 18 a factor of m(6)? False Suppose 5*g = -3*t + 27, 0 = -4*g - 3*t - 2*t + 32. Let u(l) = 4*l - 3. Is u(g) a multiple of 9? True Suppose -3*w = -4*w + 20. Suppose w = 3*s + 2. Does 6 divide s? True Let z(b) = 4*b**2 - b - 1. Let r be z(-4). Let o = r + -46. Is 6 a factor of o? False Let p(q) = -q**3 + q + 5. Let x be p(0). Suppose -c = 2*g + 2*c - 5, -32 = -x*g - c. Is g a multiple of 7? True Let s = 5 + -3. Does 9 divide 88/12*9/s? False Suppose 64 = -3*g + 13. Let l be -12*(2 + (-18)/4). Let q = l + g. Is q a multiple of 11? False Suppose -120 = -j - 3*a, 6*j - 2*a - 125 = 5*j. Is j a multiple of 28? False Suppose -186 = -4*s + 18. Is s a multiple of 22? False Let b(p) = -29*p + 43. Does 31 divide b(-6)? True Suppose -5*x + 4 = 19, 0 = 3*g - 2*x - 162. Is g a multiple of 21? False Let i(a) be the second derivative of -a + 5*a**2 + 0 - 1/6*a**3. Is 10 a factor of i(0)? True Let n = -16 - -19. Suppose n*c - 12 = 0, f + c = -3*c + 21. Is 5 a factor of f? True Let b = -51 + 123. Let n = b + -50. Is 22 a factor of n? True Is 2 a factor of (-1290)/(-70) - (-6)/(-14)? True Suppose -j = j. Suppose 2*k + 76 = -j*k. Let z = -21 - k. Is z a multiple of 8? False Let n = 12 - -27. Let s = 57 + n. Let f = s - 64. Does 17 divide f? False Suppose -3*z - 2*z - 186 = -f, 2*z = 5*f - 976. Is f a multiple of 28? True Suppose -125 = -4*i + 207. Does 25 divide i? False Let r be (-1)/(-3) + (-50)/6. Let d(m) = m**3 + 9*m**2 + 7*m + 4. Does 6 divide d(r)? True Let y = 83 + -76. Is y a multiple of 6? False Suppose 54 = 3*y - 60. Let n = 67 - y. Does 9 divide n? False Let c be (0 - 6)*(-4)/3. Suppose -o - 4*s = 2, 0 = -4*s + 4 - c. Suppose 0 = o*p - 4, 0*h + 10 = 2*h - 5*p. Is h a multiple of 5? True Let s(z) = -z**3 - z**2 - 2*z + 6. Does 10 divide s(-3)? True Let c = 334 + -224. Does 13 divide c? False Suppose -5*p = -p - 12. Suppose -2*j - 2*c + 91 = 5, j + 4*c = 40. Suppose 7*f = p*f + j. Is f a multiple of 4? False Let w = -27 - -20. Is 20 a factor of 2 + w/(28/(-232))? True Let l(j) = 4*j**2 - j + 1. Let o be l(1). Is 23 a factor of -18*o/(16/(-6))? False Let s = 6 + -6. Suppose 3*n - 14 = -2*x + 2, 4*n + x - 28 = s. Does 6 divide n? False Suppose -4*w = -108 + 424. Let k = w - -115. Is 12 a factor of k? True Let o(x) = -7*x**3 + 3*x**2 + 3*x. Let d be o(-2). Let z = 42 + -39. Suppose -z*l + d = -1. Does 12 divide l? False Suppose 2*a - 180 = -7*a. Is 13 a factor of a? False Is (-6454)/(-49) - 6/(-21) a multiple of 5? False Let m be (-4)/(-6) + 627/(-9). Let l = m + 110. Suppose -6 = -i + 3*r, -4*i - 4*r = -129 + l. Does 9 divide i? True Let p = -9 + 13. Is 3 a factor of p? False Suppose -2*w + 5*j = -149 + 41, -3*w + 4*j + 148 = 0. Does 13 divide w? False Does 36 divide (305 - (-4)/(-4)) + 8/2? False Is 12 a factor of -4*7/((-84)/195)? False Let c = -64 - -90. Is 7 a factor of c? False Let p =
{ "pile_set_name": "DM Mathematics" }
0 Solve -139*w + 1518 = -205*w for w. -23 Solve -38*r - 32*r = 387 + 453 for r. -12 Solve -250536*z = -250543*z + 259 for z. 37 Solve 224*n + 2083 = -381 for n. -11 Solve 57 + 27 = -1360*c + 1381*c for c. 4 Solve -20*l + 89*l - 690 = 138 for l. 12 Solve -1062*d + 1004 = -877*d - 291 for d. 7 Solve 26*x + 65*x + 2 = 366 for x. 4 Solve -18*q + 56 = -8*q + 4*q for q. 4 Solve 0 = 244*t + 58*t - 2114 for t. 7 Solve 22*i + 3*i - 8*i = -33*i for i. 0 Solve 376*b - 209 = -391*b + 756*b for b. 19 Solve -111*p - 26 + 13 = -457 for p. 4 Solve 261*b + 5066 = 107 for b. -19 Solve 0 = 1237*f + 126*f - 39527 for f. 29 Solve 0 = -12*v - 171 - 39 + 30 for v. -15 Solve -85498*u = -85472*u - 79 - 259 for u. 13 Solve -105*k - 177 = 2238 for k. -23 Solve 631*y = 653*y + 66 for y. -3 Solve 4*f - 12 = 2*f + 14*f for f. -1 Solve 21*b + 3159 = 264*b for b. 13 Solve -16*j + 54*j = 76 for j. 2 Solve -45*t = -11*t - 469 + 95 for t. 11 Solve 0 = -46*l - 36*l + 222 + 270 for l. 6 Solve 489 = 21*b + 132 for b. 17 Solve -13*h + 245 = h + 21*h for h. 7 Solve -568*g - 18 = -571*g for g. 6 Solve 106*y + 739 + 3 = 0 for y. -7 Solve -44*b - 114*b = -5*b + 2601 for b. -17 Solve -1660*o + 1688*o - 112 = 0 for o. 4 Solve -83 - 1020 = 236*s + 313 for s. -6 Solve 0 = 2652*d - 2694*d - 462 for d. -11 Solve 160*u - 83*u - 12 = 78*u for u. -12 Solve -16*q + 10*q = 15*q - 210 for q. 10 Solve 90 = -d - 6*d + 22*d for d. 6 Solve 113 - 142 = 51*n + 175 for n. -4 Solve -84 = 18*t + 28*t - 58*t for t. 7 Solve 9*f + 6153 = 888*f for f. 7 Solve 199 - 1113 - 46 = -40*c for c. 24 Solve 623 = 44*a - 92 - 737 for a. 33 Solve -40*s = -27*s - 48*s - 35 for s. -1 Solve -248*l + 112*l = -124*l - 36 for l. 3 Solve -108 = -50*h + 29*h + 60 for h. 8 Solve 0 = 12180*l - 12222*l - 126 for l. -3 Solve 1176 = -665*r + 1446 + 3055 for r. 5 Solve -24*w = -7*w + 80 + 22 for w. -6 Solve -883*l + 182*l + 1282 = -3625 for l. 7 Solve -12281*w + 12357*w = 988 for w. 13 Solve -33*a - 36 - 25 = -94 for a. 1 Solve -393 + 253 = 129*k - 2849 for k. 21 Solve -117*k + 700 = -167*k for k. -14 Solve 90*r + r - 1008 = 19*r for r. 14 Solve 4867 = 182*z + 1773 for z. 17 Solve 347*o - 251*o - 9760 = -514*o for o. 16 Solve 32*y + 40*y = 46*y - 286 for y. -11 Solve 224 + 35 = 26*c - 131 for c. 15 Solve 1229 - 59 = 110*a + 180 for a. 9 Solve 14*u - 18*u = 46*u + 850 for u. -17 Solve 0 = 3*m + 5*m + 2088 - 1992 for m. -12 Solve -46*p - 5353 + 1673 = 138*p for p. -20 Solve -46 - 48 = 3*c - 109 for c. 5 Solve -134*l + 577 + 300 = -597 for l. 11 Solve 0 = 270*i - 16*i + 2239 + 1317 for i. -14 Solve 3*y + 31 - 17 = 20 for y. 2 Solve -343*i + 10560 = 124*i - 27*i for i. 24 Solve 4 = 127*k - 5 + 9 for k. 0 Solve 159 + 477 = -323*d - 10 for d. -2 Solve -17*j - 91 - 60 = -32 for j. -7 Solve 872*b = 988*b - 1160 for b. 10 Solve 22*x - 6622 = -6160 for x. 21 Solve 311 + 1501 = -302*q for q. -6 Solve 11100*h = 11116*h + 432 for h. -27 Solve -21106 + 20122 = 48*h - 7*h for h. -24 Solve 9*c - 139 = -157 for c. -2 Solve 30*a + 701 + 55 = 3*a for a. -28 Solve -29*z - 607 = -1332 for z. 25 Solve 32*z + 182 - 530 = 36 for z. 12 Solve -382*m + 289 - 7976 = -47 for m. -20 Solve -189*q = 293*q + 421*q + 24381 for q. -27 Solve -627 - 1867 = -86*v for v. 29 Solve -30*j - 37 - 353 = 0 for j. -13 Solve 1445 = -105*c + 500 for c. -9 Solve 69*o - 28*o - 1170 = -268 for o. 22 Solve -16*n + 80 - 71 - 153 = 0 for n. -9 Solve -441*d - 1090 = 691*d - 42*d for d. -1 Solve -4002*j + 128 = -3938*j for j. 2 Solve -423*d + 432*d - 45 = 0 for d. 5 Solve -45*y + 790 = 34*y for y. 10 Solve 556 = 12*j + 496 for j. 5 Solve -64*b + 2431 = 3391 for b. -15 Solve 100 = -2659*r + 5316*r - 2661*r for r. -25 Solve 288 + 1447 - 175 = 130*a for a. 12 Solve -47*m + 136 - 42 = -47 for m. 3 Solve -258 + 62 = -12*r + 176 for r. 31 Solve -807 + 723 = -14*a for a. 6 Solve 163*v - 33*v = 1430 for v. 11 Solve 2*r = -90 + 120 for r. 15 Solve 628*r - 1541 - 7755 = 10172 for r. 31 Solve 315 - 309 = q for q. 6 Solve 379*b + 71*b + 13608 = -36*b for b. -28 Solve 106*r + 544*r = -969 - 981 for r. -3 Solve 0 = -1569*j + 782 - 2351 for j. -1 Solve 212*r + 254*r - 6990 = 0 for r. 15 Solve -16*q = 30*q + 887 + 585 for q. -32 Solve -41778*j - 6 = -41794*j + 26 for j. 2 Solve -130 + 1167 = -546*l - 55 for l. -2 Solve 364 = -199*n + 147*n for n. -7 Solve -1325*c = -556*c + 18456 for c. -24 Solve 862 = 152*k - 33*k - 209 for k. 9 Solve 2055*k = 2049*k + 168 for k. 28 Solve -6104 - 12382 + 911 = 475*c for c. -37 Solve -5305 = -459*l - 105*l + 3719 for l. 16 Solve 424 = -77*d - 294 - 591 for d. -17 Solve 2*c - 784 = 182*c + 16*c for c. -4 Solve -50*a - 726 = 11*a + 5*a for a. -11 Solve 99 = 15*r - 46*r - 87 for r. -6 Solve -4024 = 344*z + 1424 + 400 for z. -17 Solve 0*j = -2*j - 360 + 348 for j. -6 Solve -16*u + 296*u = -7840 for u. -28 Solve 12*g - 278 = -530 for g. -21 Solve -37*c - 207 + 211 - 448 = 0 for c. -12 Solve -31 - 14 = 116*g + 71 for g. -1 Solve 7793*p = 7801*p + 48 for p. -6 Solve 103*s + 891 = -357*s - 7389 for s. -18 Solve 180*b + 480 + 1500 = 0 for b. -11 Solve 7*h - 567 = 64*h - 453 for h. -2 Solve 0 = 60*x + 983 - 1643 for x. 11 Solve 8*j + 12 = -79 + 27 for j. -8 Solve 14*n - 96 = 11*n + 27*n for n. -4 Solve 24*t = 14*t + 70 for t. 7 Solve -443*v - 304 = -481*v for v. 8 Solve 34*h = -214*h - 2480 for h. -10 Solve -74*u + 120*u + 384 = -18*u for u. -6 Solve -323 = -36*s + 77*s + 538 for s. -21 Solve -752*h + 839*h = -870 for h. -10 Solve 21*s - 24 = 12*s + 33*s for s. -1 Solve -26*p + 8*p - 21 - 123 = 0 for p. -8 Solve 199668*r + 1729 = 199759*r for r. 19 Solve 31*l + 56 - 25 = 0 for l. -1 Solve 802 + 2048 = -150*y for y. -19 Solve -918*x + 931*x = 195 for x. 15 Solve 0 = 3*q + 12*q + 69 - 24 for q. -3 Solve 136*i + 144 = 120*i for i. -9 Solve 0 = 64*c + 580 - 205 + 1161 for c. -24 Solve 944 = -30*u + 734 for u. -7 Solve 95*k = 4*k - 0*k - 273 for k. -3 Solve -12*g + 25*g = 59*g - 414 for g. 9 Solve 0 = 68*r + 378 + 166 - 0 for r. -8 Solve -294*l + 72 = -288*l + 24 for l. 8 Solve -255*g = -277*g - 154 for g. -7 Solve 69*r + 69*r - 1 = -1 for r. 0 Solve 0 = -278*w + 261*w + 221 for w. 13 Solve -24*n + 411 = 145*n - 772 for n. 7 Solve 195*o = 55*o + 2240 for o. 16 Solve 474*b = 763*b + 6069 for b. -21 Solve 194 = 121*x - 43 - 5 for x. 2 Solve -89*p - 108 = 19*p for p. -1 Solve 4874 + 803 = -119*u + 1155 for u. -38 Solve -13*c = 26*c - 29*c + 10 for c. -1 Solve -18850 = -608*h - 2434 for h. 27 Solve 149 - 367 = 14*l - 120 for l. -7 Solve 0 = -113*c - 19*c - 31*c - 1304 for c. -8 Solve 0 = -523*o - 9117 - 820 for o. -19 Solve 48*s = -30*s + 122*s + 264 for s. -6 Solve 0 = 279*q + 1668 - 1591 + 5224 for q. -19 Solve -323 = 20482*s - 20499*s for s. 19 Solve -5*f - 13*f - 108 = 0 for f. -6 Solve 0 = 3927*w - 3929*w + 38 for w. 19 Solve 0 = 2194*q - 2341*q - 1764 for q. -12 Solve -385*i + 1671 = -2949 for i. 12 Solve 5*z = -28*z - 318 - 111 for z. -13 Solve -41*s + 646 = -338 for s. 24 Solve -5435*v + 5463*v - 336 = 0 for v. 12 Solve 24*h + 28*h - 6*h - 46 = 0 for h. 1 Solve -7*b - 1344 = -119*b for b. 12 Solve 0 = -27312*o + 27335*o - 276 for o. 12 Solve 45*y - 250 + 74 = 904 for y. 24 Solve -11*c + 6998 - 7053 = 0 for c. -5 Solve 13*a + 3 - 10 = 84 for a. 7 Solve 0 = 123*z - 109 + 94 - 231 for z. 2 Solve -766 - 7308 = 734*t for t. -11 Solve 16*b = 97*b + 93*b - 696 for b. 4 Solve 54*c - 102 = -19 + 133 for c. 4 Solve 252*n - 210*n = -378 for n. -9 Solve 0 = 48*s - 183*s + 86*s for s. 0 Solve 0 = 14*c - 3567 + 3735 for c. -12 Solve 6*r - 80 = 10*r + 16*r for r. -4 Solve -219*c - 566 = -163*c + 218 for c. -14 Solve 178*x + 162 + 640 + 88 = 0 for x. -5 Solve 0 = -161*w + 29*w + 361 + 827 for w. 9 Solve -21 = -11174*l + 11181*l for l. -3 Solve -2354 = 143*s + 77 for s. -17 Solve 74 = 6*l + 66 + 68 for l. -10 Solve 339 - 1947 - 746 = -214*z for z. 11 Solve 0 = -71*c + 872 - 233 for c. 9 Solve 0 = -32*z - 119 - 170 + 65 for z. -7 Solve -14323*v + 14303*v = 180 for v. -9 Solve -101 = -2*a - 12*a - 3 for a. 7 Solve -1056485 = 20*a - 1056385 for a. -5 Solve 43*q - 76*q + 3300 = -308*q for q. -12 Solve 23 = -10*z - 127 for z. -15 Solve 0 = 97*c + 1168 + 287 for c. -15 Solve 1073*v + 2368 = 1221*v for v. 16 Solve -1001*k + 2825*k = -20337 + 3921 for k. -9 Solve 19*p - 63 = 45*p - 219 for p. 6 Solve -
{ "pile_set_name": "DM Mathematics" }
of picking 1 o and 1 a? 34/171 Two letters picked without replacement from ffftffff. Give prob of picking 2 f. 3/4 Four letters picked without replacement from {u: 7, q: 5, c: 1, i: 2, w: 3}. What is prob of picking 1 q, 1 i, 1 w, and 1 c? 1/102 Calculate prob of picking 1 y and 3 i when four letters picked without replacement from {y: 1, i: 11}. 1/3 Three letters picked without replacement from nnnnnnnnmmdqn. Give prob of picking 1 n and 2 q. 0 Two letters picked without replacement from fsfsssfsddnsssfffj. What is prob of picking 1 f and 1 j? 2/51 Two letters picked without replacement from {s: 5}. Give prob of picking 2 s. 1 Three letters picked without replacement from emmmfmfmmmmfmemmm. Give prob of picking 2 f and 1 m. 9/170 What is prob of picking 1 e and 1 g when two letters picked without replacement from {e: 5, s: 1, g: 1, x: 2, o: 3}? 5/66 What is prob of picking 2 j when two letters picked without replacement from jjj? 1 Two letters picked without replacement from dbddbd. What is prob of picking 2 d? 2/5 What is prob of picking 1 v and 2 r when three letters picked without replacement from rxrrrrxrcrixvrix? 1/20 Calculate prob of picking 1 q and 2 r when three letters picked without replacement from rrrqqqrrrqqqrrrqrrr. 154/323 Calculate prob of picking 2 y when two letters picked without replacement from ccxyyyxcxxxxy. 1/13 What is prob of picking 1 g and 1 s when two letters picked without replacement from {r: 1, g: 2, c: 1, s: 2, p: 1}? 4/21 What is prob of picking 1 j and 1 e when two letters picked without replacement from {o: 3, v: 8, e: 1, j: 6}? 2/51 Two letters picked without replacement from {j: 1, v: 1, h: 5, m: 2}. Give prob of picking 2 h. 5/18 Four letters picked without replacement from nnpgnnnpgppgpgnpnp. Give prob of picking 2 g and 2 n. 7/170 Three letters picked without replacement from {e: 1, d: 2, k: 4, n: 3, g: 1}. Give prob of picking 1 k, 1 e, and 1 g. 4/165 Four letters picked without replacement from vouuvovuuuuuuvuv. Give prob of picking 1 o and 3 v. 1/91 Three letters picked without replacement from {n: 2, k: 2, a: 1, i: 4, w: 4, m: 6}. What is prob of picking 2 w and 1 i? 8/323 Calculate prob of picking 1 g, 1 x, and 1 j when three letters picked without replacement from wgnwxxjj. 1/14 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 1, y: 1, z: 1, p: 1, e: 4}. 1/28 What is prob of picking 1 a and 3 s when four letters picked without replacement from {s: 6, a: 2}? 4/7 Three letters picked without replacement from {o: 16, y: 2}. Give prob of picking 3 o. 35/51 What is prob of picking 1 j, 1 m, and 1 g when three letters picked without replacement from {g: 2, o: 1, j: 4, s: 2, m: 1}? 1/15 What is prob of picking 1 q, 1 u, and 2 b when four letters picked without replacement from {q: 2, b: 2, a: 5, n: 8, u: 2}? 1/969 What is prob of picking 2 p, 1 c, and 1 q when four letters picked without replacement from qqcqpqzqqqpqc? 16/715 Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {e: 1, v: 12}. 2/13 Three letters picked without replacement from {t: 2, n: 1, i: 4, c: 5, b: 2}. Give prob of picking 1 b and 2 c. 5/91 What is prob of picking 1 k and 1 f when two letters picked without replacement from txxftvdvdxkxxtt? 1/105 What is prob of picking 2 g when two letters picked without replacement from {g: 2, z: 5}? 1/21 Three letters picked without replacement from {n: 2, h: 3}. What is prob of picking 1 n and 2 h? 3/5 Two letters picked without replacement from {a: 3, n: 1}. Give prob of picking 1 a and 1 n. 1/2 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {a: 3, z: 2, o: 4, v: 1, q: 3, y: 4}. 3/136 Four letters picked without replacement from xxxxxxxxxx. Give prob of picking 4 x. 1 Two letters picked without replacement from {r: 2, m: 17}. What is prob of picking 1 r and 1 m? 34/171 Two letters picked without replacement from {l: 3, y: 4, o: 2, z: 4, q: 1}. What is prob of picking 1 q and 1 y? 4/91 What is prob of picking 1 n and 1 b when two letters picked without replacement from onwnbxwx? 1/14 Four letters picked without replacement from {f: 1, p: 6, l: 7, q: 1, e: 2}. What is prob of picking 3 l and 1 p? 3/34 Three letters picked without replacement from ecorroeevojvocoeocco. What is prob of picking 2 o and 1 c? 7/95 What is prob of picking 2 m when two letters picked without replacement from ccllmpmdcc? 1/45 Calculate prob of picking 2 f and 2 z when four letters picked without replacement from {t: 1, n: 1, z: 2, s: 2, g: 3, f: 3}. 1/165 Calculate prob of picking 2 y and 2 g when four letters picked without replacement from {y: 4, w: 3, s: 1, g: 4, b: 1, o: 1}. 36/1001 Three letters picked without replacement from yyyyyeppd. Give prob of picking 3 y. 5/42 Three letters picked without replacement from {h: 9}. Give prob of picking 3 h. 1 What is prob of picking 1 f, 1 o, 1 i, and 1 p when four letters picked without replacement from ptcottttiifcccitofff? 8/1615 What is prob of picking 4 w when four letters picked without replacement from wooowoooeewowow? 1/273 Three letters picked without replacement from lllllllvlvlvllll. What is prob of picking 3 v? 1/560 Two letters picked without replacement from mvoomvvvvovv. Give prob of picking 2 o. 1/22 Four letters picked without replacement from ggggeqaqeggaggqgaqqg. Give prob of picking 1 a, 2 e, and 1 g. 2/323 Four letters picked without replacement from {t: 7, l: 2}. Give prob of picking 2 t and 2 l. 1/6 Three letters picked without replacement from ztyzuyuutyquqzykyuy. Give prob of picking 1 t and 2 q. 2/969 Two letters picked without replacement from sovpsvpvpsjspps. Give prob of picking 1 j and 1 v. 1/35 Two letters picked without replacement from {m: 3, q: 2, x: 10, j: 4}. What is prob of picking 1 q and 1 x? 20/171 Two letters picked without replacement from mkkylkkwlkmkkkkk. What is prob of picking 1 y and 1 m? 1/60 Three letters picked without replacement from {l: 6, b: 2, u: 4}. Give prob of picking 1 b and 2 u. 3/55 Calculate prob of picking 1 a, 2 t, and 1 e when four letters picked without replacement from dtatezzzttttz. 3/143 What is prob of picking 2 p and 1 t when three letters picked without replacement from {p: 9, i: 2, t: 7}? 21/68 Three letters picked without replacement from mrrrraarrarmrrrrr. Give prob of picking 3 a. 1/680 What is prob of picking 2 o when two letters picked without replacement from oooeeoo? 10/21 Four letters picked without replacement from {f: 11, w: 7, d: 2}. Give prob of picking 3 w and 1 f. 77/969 What is prob of picking 2 t and 1 u when three letters picked without replacement from utuuuuuututuuuu? 36/455 What is prob of picking 1 z, 1 s, and 1 n when three letters picked without replacement from {m: 9, n: 1, s: 1, z: 5}? 1/112 Two letters picked without replacement from lnkrnkwpl. Give prob of picking 1 n and 1 k. 1/9 Three letters picked without replacement from {r: 2, i: 2, a: 2}. What is prob of picking 1 i and 2 r? 1/10 Three letters picked without replacement from {o: 4, e: 2, b: 2, j: 2, s: 1, a: 1}. What is prob of picking 2 b and 1 o? 1/55 Four letters picked without replacement from {t: 3, n: 3, q: 6, l: 1}. What is prob of picking 1 n, 1 l, and 2 q? 9/143 Calculate prob of picking 2 g when two letters picked without replacement from {n: 5, g: 2}. 1/21 Three letters picked without replacement from {l: 5, k: 3}. Give prob of picking 2 k and 1 l. 15/56 What is prob of picking 2 o when two letters picked without replacement from ododd? 1/10 Three letters picked without replacement from {u: 1, m: 1, c: 1, t: 1, k: 1}. What is prob of picking 1 u and 2 k? 0 Calculate prob of picking 3 j when three letters picked without replacement from {j: 10, y: 5, e: 1, v: 1}. 3/17 What is prob of picking 1 o and 2 f when three letters picked without replacement from ooffffoofofoooofoffo? 33/95 What is prob of picking 2 l when two letters picked without replacement from {m: 2, l: 8, x: 3, o: 2}? 4/15 Calculate prob of picking 3 b and 1 d when four letters picked without replacement from dnbbddbdbbdbb. 35/143 Three letters picked without replacement from {w: 6, k: 3, e: 4, z: 2}. What is prob of picking 1 w
{ "pile_set_name": "DM Mathematics" }
v be g(-5). Let h be (v/10)/(1/(-15)). Calculate the greatest common factor of h and 4. 4 Let r = -123 + 552. Calculate the greatest common divisor of 33 and r. 33 Let g = -2 + -8. Let x be (96/g)/(1/(-5)). Calculate the highest common divisor of 12 and x. 12 Let s be (7/(-14))/((-1)/312). Let d be (4/(-6))/((-8)/s). Let f = 43 - -74. Calculate the greatest common divisor of d and f. 13 Let l(p) = -p**3 - 15*p**2 - 15*p + 15. Let j be l(-14). Calculate the highest common divisor of j and 145. 29 Let f be 4/(-6)*27/(-3). Let d(l) be the first derivative of 3*l**2/2 - 6*l + 5. Let z be d(6). Calculate the highest common divisor of f and z. 6 Let f be 1*-86*5/(-10). Calculate the highest common factor of 86 and f. 43 Let d(l) = -l + 3. Let z be 6/(-4) - (-21)/14. Let q be d(z). What is the greatest common divisor of 3 and q? 3 Let n be (1 + -1)*(-5)/(-10). Let z be -3 + 6 + 7 + n. Calculate the highest common divisor of z and 50. 10 Suppose -168 = 5*i - 3*j, -4*i + 5*j = 186 - 49. Let m = -18 - i. What is the greatest common divisor of m and 105? 15 Suppose -2 = -f, -4*h + 90 = 3*f + 2*f. Suppose -3*x - h + 1 = 5*q, -3*x + 1 = q. Suppose -7 = -x*b + 3. What is the highest common factor of b and 5? 5 Let p be -9*(-2 - (2 + 0)). What is the highest common factor of p and 18? 18 Let v be (5 - 1) + (-1 - 0)/(-1). What is the greatest common divisor of v and 15? 5 Let g = 4 + 149. Let b(l) = l**3 - 13*l**2 + 9*l + 13. Let a be b(12). Let o = a - -40. What is the highest common divisor of o and g? 17 Let v(n) = 3*n**2 - n + 2. Let y be v(2). Suppose -2*l = -4*l + y. Suppose 16 = a + l. Calculate the highest common factor of a and 90. 10 Suppose 4*b = -2*n + 32, -2*b = 3*b - 4*n - 14. Let k be (20 - 3) + b/3. Calculate the highest common factor of k and 19. 19 Suppose 4*j = 7*j - 60. Calculate the greatest common factor of 4 and j. 4 Let h be -9*1/(-6)*-4. Let g be (-413)/(-21) + 4/h. What is the highest common factor of 19 and g? 19 Suppose 2*p - 6 = -2*g, 0*p + 5*g - 11 = -p. Suppose -4*s + 6*f = 3*f + 68, 0 = -4*s + f - 76. Let c = s + 28. Calculate the highest common factor of p and c. 1 Let a = -5 + 7. Let h = 7 - 6. What is the highest common factor of h and a? 1 Let p be 99/4 - (-3)/12. Calculate the greatest common divisor of p and 125. 25 Let h(g) be the first derivative of 6*g**4 - g**3/3 + g**2/2 - 2. Let c be h(1). Calculate the greatest common factor of c and 36. 12 Suppose -3*u + 11 = 5*h - 2, -1 = -u. Calculate the highest common factor of 14 and h. 2 Let o(c) = 3*c + 36. Let x be o(0). Let b be (-50)/(-6) - 2/(-3). Calculate the greatest common factor of b and x. 9 Suppose -2*z = 0, -3*x - 10 = -5*x + 5*z. Let p(j) = -j. Let t be p(-5). Calculate the highest common factor of x and t. 5 Suppose 0 = -33*p + 25*p + 304. What is the highest common divisor of p and 57? 19 Let y(j) = j**3 - 5*j**2 - 4*j - 6. Let b be y(6). Suppose u - b*u + 185 = 0. Let h = u - 3. What is the highest common factor of h and 17? 17 Suppose h + 4*v - 92 = 83, h - 181 = -2*v. Calculate the greatest common divisor of 17 and h. 17 Let b be (-6)/(-1)*(-2)/(-6). Let c be -1*(b/1 - 2). Let t(k) = k**3 - k**2 + k + 14. Let y be t(c). What is the greatest common divisor of 35 and y? 7 Let u(d) = -1 + 0*d + 34*d**2 + 1 + 2*d. Let w be u(-2). Calculate the highest common factor of w and 12. 12 Let l(q) be the first derivative of q**3/3 + q**2 - q - 1. Let o be l(-5). What is the highest common divisor of 42 and o? 14 Let q = 1 + 6. Let m(h) = 9*h + 1. Let y be m(q). What is the greatest common factor of y and 16? 16 Let q be 3 - 76*2/4. Let m = -15 - q. What is the highest common divisor of 8 and m? 4 Let v be ((-196)/(-21) - -2)*(2 - -1). What is the highest common divisor of v and 68? 34 Suppose 5*c = 2*c + 18. Let h be 6/15 - c/15. Suppose -3*b + h*b = -27. Calculate the greatest common divisor of 81 and b. 9 Let q = 8 + -4. Let u be q/(-2 + (1 - -2)). What is the highest common divisor of 6 and u? 2 Let a(t) = -t**3 + 7*t**2 + 3. Let s be (0 - 1) + 1*8. Let b be a(s). Suppose 0 = b*w - 6, 6 = 2*k - 2*w - 0. What is the highest common factor of 20 and k? 5 Let t(s) be the second derivative of -7*s**3/3 + 4*s. Let h be t(-1). What is the highest common factor of h and 35? 7 Let t be (-6)/9*30/(-2). Let d(g) = -g**2 + 8*g + 3. Let l be d(6). What is the highest common factor of t and l? 5 Suppose z + 46 = 3*w, -w + 31 + 11 = 5*z. Let p be (-237)/(-2) + (-2)/(-4). Calculate the greatest common divisor of p and w. 17 Let h = 24 + -12. Let n(u) = u + 13. Let d be n(-7). Calculate the greatest common factor of h and d. 6 Let m = -94 - -109. Calculate the greatest common factor of m and 195. 15 Suppose 4*u - 418 = -2*i, 2*u - 120 - 746 = -4*i. Let a be (i + -3)*(-3)/(-6). What is the greatest common divisor of 12 and a? 12 Suppose -2*v = v. Let c = v - 1. Let k be 60/(-1)*c/2. What is the highest common factor of k and 12? 6 Let l(u) = u**3 - u**2 + 51. Let n be l(0). Suppose s = 22 - 4. Suppose -j + s - 1 = 0. What is the greatest common divisor of j and n? 17 Let m = 26 + -14. Let o be 8/m*3 - -7. Calculate the highest common divisor of 81 and o. 9 Suppose -7*h + 3*h = 0. Let v be (-1)/(h + 2/(-4)). Let u be (-8)/(-2*4/16). What is the highest common divisor of u and v? 2 Suppose 0 = 3*u + 4*q - 35 + 3, 5*u - 5*q + 5 = 0. Suppose -u*v - 26 = -d, -4*v + 0 = 4. Calculate the greatest common factor of d and 2. 2 Let o be 0/(4*(-2)/(-8)). Let r be (o + 7)*(-4 - -5). Let x be (3 - -32)/(0 + 1). What is the greatest common factor of x and r? 7 Suppose -38 = -5*w + 5*m + 322, 5*w - 387 = -4*m. Suppose -w = -2*u - 3*u. Calculate the greatest common factor of 45 and u. 15 Let q = -139 + 156. Calculate the greatest common divisor of q and 391. 17 Let p be 245*(12/15)/2. What is the greatest common divisor of p and 14? 14 Suppose -4*l - 5*j = -43, -2*j = -5*l + 8 + 21. What is the greatest common factor of 2 and l? 1 Let b(m) = -m**2 + 18. Let l be b(0). Suppose -5*d + 13 + 12 = 0. Suppose -d*y + 10 = -35. Calculate the greatest common divisor of l and y. 9 Suppose -3*k + 65 = -g, 0*k - 5*g = -5*k + 115. Let c(w) = 4*w**2 + 3. Let r be c(6). What is the greatest common divisor of k and r? 21 Suppose 0 = 4*q, 0 = 4*t - 4*q + 2*q - 20. Suppose 0 = -i - 5 - 3. Let u be (-44)/i + 2/(-4). Calculate the greatest common divisor of u and t. 5 Let p = 3 + 1. Suppose -o + 5*o = 3*k - 377, o + 80 = -p*k. Let t = o - -290. Calculate the highest common divisor of t and 18. 18 Let b = -15 - 23. Let k = 67 + b. Let h = 44 - k. What is the highest common factor of 60 and h? 15 Let w = -14 + 13. Let v be (-190)/(-8) + w/(-4). Calculate the highest common factor of v and 3. 3 Let x = 1 - -14. What is the highest common divisor of 90 and x? 15 Suppose 4*c + 19 + 1 = 0. Let n be (-2)/c*(-12 - -2). Let m(i) = -19*i - 1. Let g be m(n). Calculate the highest common divisor of g and 15. 15 Suppose 60 = 4*x + 5*m, -32 = -4*x - 2*m + 4*m. What is the highest common divisor of x and 5? 5 Suppose 5*p - 1405 - 25 = 0. Calculate the greatest common factor of p and 26. 26 Let z = 36 + -23. What is the highest common divisor of z and 91? 13 Suppose -j - 5*o - 330 = -6*j, -3*j + 174 = 5*o. Calculate the highest common divisor of 7 and j. 7 Let i be (-1)/((-8)/(-126))*-4. Let t(a) = -4*a - 1. Let o(h) = -h + 1. Let c be o(3). Let s be t(c). Calculate the greatest common factor of i and s. 7 Suppose -2*h = -5 - 3. Suppose -3*p + 5*t - 2 + 9 = 0, 2*p + 4*t = 12. Suppose x = p*x - 30. Calculate the highest common factor of x and h. 2 Let o = -40 + 48. Calculate the highest common factor of o and 4. 4 Suppose -b - 32 = -5*b. Suppose -j + 27 = -29. Calculate the greatest common divisor of j and b. 8 Suppose t - 2 - 1 = 0. Suppose -118 - 17 = -5*b. What is the greatest common divisor of b and t? 3 Suppose 5*j = b + 346, -2*b + 134 = 2*j - 14. Suppose 3*c = -2*c + j. What is the greatest common divisor of c and 98? 14 Suppose -5*n + 34 = 5*c - 541, -3*c = -2*n + 245. Calculate the highest common divisor of 59 and n. 59 Suppose -4*z + 110 = z. What is the highest common divisor of 2 and z? 2 Suppose 440 = 41*a - 36*a. What is the greatest common factor of 11 and a? 11 Let z = -5 + 7. Let h(w) = w**2 - w. Let q be h(z). Le
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 5344 is divided by 18. 16 What is the remainder when 6564 is divided by 67? 65 What is the remainder when 8 is divided by 3? 2 Calculate the remainder when 2036 is divided by 106. 22 Calculate the remainder when 253 is divided by 135. 118 Calculate the remainder when 1659 is divided by 166. 165 Calculate the remainder when 1478 is divided by 37. 35 What is the remainder when 268 is divided by 23? 15 What is the remainder when 74 is divided by 64? 10 Calculate the remainder when 175 is divided by 49. 28 Calculate the remainder when 217 is divided by 20. 17 Calculate the remainder when 803 is divided by 61. 10 Calculate the remainder when 265 is divided by 16. 9 Calculate the remainder when 386 is divided by 14. 8 Calculate the remainder when 702 is divided by 179. 165 Calculate the remainder when 2405 is divided by 400. 5 What is the remainder when 290 is divided by 288? 2 Calculate the remainder when 20125 is divided by 136. 133 What is the remainder when 221 is divided by 76? 69 Calculate the remainder when 250 is divided by 96. 58 Calculate the remainder when 2817 is divided by 936. 9 What is the remainder when 184 is divided by 37? 36 Calculate the remainder when 630 is divided by 71. 62 Calculate the remainder when 66 is divided by 23. 20 What is the remainder when 76 is divided by 17? 8 What is the remainder when 55 is divided by 19? 17 What is the remainder when 336 is divided by 88? 72 Calculate the remainder when 40 is divided by 22. 18 Calculate the remainder when 542 is divided by 442. 100 What is the remainder when 5108 is divided by 24? 20 Calculate the remainder when 68 is divided by 35. 33 Calculate the remainder when 187 is divided by 23. 3 Calculate the remainder when 1922 is divided by 634. 20 What is the remainder when 1230 is divided by 73? 62 What is the remainder when 181 is divided by 8? 5 What is the remainder when 94 is divided by 5? 4 Calculate the remainder when 1287 is divided by 215. 212 What is the remainder when 727 is divided by 194? 145 Calculate the remainder when 16 is divided by 9. 7 Calculate the remainder when 9897 is divided by 18. 15 What is the remainder when 10448 is divided by 129? 128 What is the remainder when 634 is divided by 174? 112 What is the remainder when 148 is divided by 38? 34 What is the remainder when 138 is divided by 20? 18 What is the remainder when 660 is divided by 39? 36 What is the remainder when 70 is divided by 54? 16 Calculate the remainder when 233 is divided by 63. 44 What is the remainder when 1286 is divided by 100? 86 What is the remainder when 11298 is divided by 50? 48 What is the remainder when 169 is divided by 162? 7 Calculate the remainder when 25944 is divided by 150. 144 What is the remainder when 61 is divided by 36? 25 Calculate the remainder when 311 is divided by 105. 101 Calculate the remainder when 544 is divided by 178. 10 What is the remainder when 6932 is divided by 2303? 23 Calculate the remainder when 935 is divided by 35. 25 What is the remainder when 825 is divided by 105? 90 Calculate the remainder when 1239 is divided by 69. 66 What is the remainder when 1583 is divided by 69? 65 Calculate the remainder when 501 is divided by 8. 5 Calculate the remainder when 60 is divided by 7. 4 Calculate the remainder when 626 is divided by 37. 34 Calculate the remainder when 955 is divided by 32. 27 Calculate the remainder when 67 is divided by 16. 3 What is the remainder when 147 is divided by 42? 21 Calculate the remainder when 253 is divided by 230. 23 What is the remainder when 128 is divided by 30? 8 Calculate the remainder when 6360 is divided by 67. 62 What is the remainder when 57 is divided by 2? 1 Calculate the remainder when 1077 is divided by 40. 37 What is the remainder when 10328 is divided by 272? 264 What is the remainder when 560 is divided by 69? 8 What is the remainder when 3356 is divided by 80? 76 What is the remainder when 429 is divided by 16? 13 Calculate the remainder when 44 is divided by 11. 0 Calculate the remainder when 293 is divided by 38. 27 What is the remainder when 798 is divided by 23? 16 Calculate the remainder when 1034 is divided by 341. 11 Calculate the remainder when 74 is divided by 15. 14 Calculate the remainder when 5167 is divided by 225. 217 What is the remainder when 36 is divided by 23? 13 What is the remainder when 256 is divided by 225? 31 What is the remainder when 575 is divided by 198? 179 What is the remainder when 903 is divided by 280? 63 Calculate the remainder when 1410 is divided by 101. 97 Calculate the remainder when 248 is divided by 9. 5 Calculate the remainder when 326 is divided by 84. 74 What is the remainder when 689 is divided by 21? 17 Calculate the remainder when 301 is divided by 152. 149 What is the remainder when 69 is divided by 54? 15 Calculate the remainder when 269 is divided by 5. 4 Calculate the remainder when 333 is divided by 98. 39 Calculate the remainder when 583 is divided by 107. 48 Calculate the remainder when 32 is divided by 1. 0 What is the remainder when 211 is divided by 21? 1 What is the remainder when 301 is divided by 31? 22 Calculate the remainder when 1122 is divided by 15. 12 Calculate the remainder when 666 is divided by 213. 27 Calculate the remainder when 145 is divided by 37. 34 Calculate the remainder when 1227 is divided by 408. 3 What is the remainder when 285 is divided by 26? 25 Calculate the remainder when 25 is divided by 22. 3 What is the remainder when 126 is divided by 68? 58 What is the remainder when 335 is divided by 11? 5 What is the remainder when 348 is divided by 10? 8 What is the remainder when 803 is divided by 134? 133 Calculate the remainder when 1105 is divided by 441. 223 What is the remainder when 87 is divided by 6? 3 Calculate the remainder when 126 is divided by 45. 36 Calculate the remainder when 85 is divided by 30. 25 Calculate the remainder when 6299 is divided by 46. 43 What is the remainder when 1182 is divided by 108? 102 What is the remainder when 327 is divided by 78? 15 What is the remainder when 148 is divided by 30? 28 What is the remainder when 382 is divided by 56? 46 Calculate the remainder when 59 is divided by 30. 29 What is the remainder when 119 is divided by 14? 7 Calculate the remainder when 19 is divided by 5. 4 Calculate the remainder when 40 is divided by 15. 10 Calculate the remainder when 192 is divided by 101. 91 Calculate the remainder when 1367 is divided by 6. 5 What is the remainder when 10871 is divided by 151? 150 What is the remainder when 123 is divided by 56? 11 Calculate the remainder when 10028 is divided by 118. 116 Calculate the remainder when 28 is divided by 7. 0 Calculate the remainder when 41 is divided by 4. 1 Calculate the remainder when 174 is divided by 10. 4 What is the remainder when 1540 is divided by 117? 19 Calculate the remainder when 2481 is divided by 819. 24 What is the remainder when 143 is divided by 79? 64 Calculate the remainder when 747 is divided by 84. 75 What is the remainder when 61 is divided by 19? 4 What is the remainder when 342 is divided by 116? 110 What is the remainder when 64 is divided by 12? 4 What is the remainder when 505 is divided by 23? 22 Calculate the remainder when 136 is divided by 43. 7 What is the remainder when 1107 is divided by 281? 264 What is the remainder when 233 is divided by 79? 75 Calculate the remainder when 361 is divided by 110. 31 Calculate the remainder when 590 is divided by 33. 29 Calculate the remainder when 112 is divided by 19. 17 What is the remainder when 71 is divided by 41? 30 What is the remainder when 106 is divided by 31? 13 What is the remainder when 38 is divided by 34? 4 Calculate the remainder when 352 is divided by 18. 10 Calculate the remainder when 272 is divided by 47. 37 Calculate the remainder when 166 is divided by 72. 22 What is the remainder when 175 is divided by 30? 25 What is the remainder when 200 is divided by 31? 14 What is the remainder when 58 is divided by 28? 2 What is the remainder when 50 is divided by 31? 19 What is the remainder when 162 is divided by 77? 8 Calculate the remainder when 2833 is divided by 105. 103 What is the remainder when 21430 is divided by 12?
{ "pile_set_name": "DM Mathematics" }
2 - 514992*l wrt l? -340694 Differentiate -48355*j*w - 1666*j - 20 with respect to w. -48355*j What is the first derivative of 2*f**4 + 9332*f**3 - 2*f - 34678? 8*f**3 + 27996*f**2 - 2 What is the first derivative of -119*a*h*y - 383474*a*h - 76*a*y + h*y + 2*y wrt y? -119*a*h - 76*a + h + 2 Find the second derivative of -17706*b**3 + 94828*b wrt b. -106236*b What is the second derivative of -1299*a**3 - 14*a**2 - 891*a - 2 wrt a? -7794*a - 28 What is the third derivative of -49672*z**6 + 2035*z**2 - 2 wrt z? -5960640*z**3 What is the second derivative of 185555*k**2 + 146747*k wrt k? 371110 What is the third derivative of 71836*z**3 - 10*z**2 - 725? 431016 What is the second derivative of -o**3*x - 127*o**3 + 9*o**2 - 214*o*x - 2*x + 47 wrt o? -6*o*x - 762*o + 18 What is the third derivative of -4085*q**3*w**4 - 5*q**3*w**2 - 2463*q**3*w + q**2*w**2 + 4*w**4 wrt w? -98040*q**3*w + 96*w Find the third derivative of k**2*l**3 - 4989*k**2*l**2 + k*l**3 + k*x - l**3*x + 10*l**3 wrt l. 6*k**2 + 6*k - 6*x + 60 What is the second derivative of 7*o**4 - 3927*o**3 + 48886*o? 84*o**2 - 23562*o Find the first derivative of 109*a**3 + 4*a**2 + 5325. 327*a**2 + 8*a Find the third derivative of 27864*l**3*z - 2*l**2 - 29*l*z - 31*z + 2 wrt l. 167184*z Find the first derivative of -10*l*o**2 - 19873*l + 46912*o**2 - 1 wrt l. -10*o**2 - 19873 What is the second derivative of 37*c**4*r**3 + 433*c**3*r**3 - 16505*c*r**3 + 2*c*r wrt c? 444*c**2*r**3 + 2598*c*r**3 Differentiate -104*k**2*w - 40158*k**2 + 13*k*w - w with respect to w. -104*k**2 + 13*k - 1 What is the derivative of -3367596*n - 1079453? -3367596 What is the first derivative of -101746*z - 32295? -101746 Find the second derivative of -3*i*n**3 + 12*i*n - 432*i + 257185*n**5 wrt n. -18*i*n + 5143700*n**3 Find the third derivative of -134820*y**6 + 2*y**2 - 28*y + 189. -16178400*y**3 Differentiate -505196*g*h**2*n - 3*h**2*n + 29*h**2 - 7*h*n - 3*n + 49 wrt g. -505196*h**2*n Find the first derivative of 127615*x**3 - 158955. 382845*x**2 Find the second derivative of c*i**2*r**2*v + 5*c*i**2*r*v - c*i*r - 2*c*r*v + 36*i**2*v - 8*i**2 + 44*i*r**2 + 72*r**2*v wrt r. 2*c*i**2*v + 88*i + 144*v Find the second derivative of -414483*r**2 - 33580*r + 8. -828966 What is the third derivative of 668948*u**4 - 40*u**2 + 112*u + 62? 16054752*u What is the second derivative of -666167*t**5 + 417*t - 449? -13323340*t**3 What is the third derivative of 220496*p**3 + 36464*p**2 + 1 wrt p? 1322976 Find the third derivative of -80498*x**3 + 1644*x**2 + 46*x wrt x. -482988 Find the third derivative of 504500*f**3*y**3 - 52085*f**2*y + 3*f*y**3 wrt f. 3027000*y**3 What is the second derivative of -22273*l**5 + 31715*l wrt l? -445460*l**3 Find the third derivative of 860*a**3*h**2 - 52*a**3*h + 2*a**2*h**2 + 18*a**2*h - 2*h**2 + 2856*h wrt a. 5160*h**2 - 312*h What is the third derivative of 26148*x**2*z**6 + 2*x**2*z + 3*x**2 + 3*x*z**6 + 26*x*z**2 + 34*x wrt z? 3137760*x**2*z**3 + 360*x*z**3 Find the third derivative of -2*q**4 + 6692*q**3 + 64151*q**2. -48*q + 40152 Find the first derivative of 11*d**2*s + d**2 - 23*d*s + 250613*s wrt d. 22*d*s + 2*d - 23*s What is the first derivative of -554978*d**3 - 649778 wrt d? -1664934*d**2 Find the second derivative of -64*c*n**3*y + 6*c*n**2*s*y - 787*c*n*s*y + c*n*s - 8*c*y + 16*n**2*y + 7*n*s*y + 2*n*s wrt n. -384*c*n*y + 12*c*s*y + 32*y Differentiate 1881*a**4 + 2*a**2 - 5*a - 97539. 7524*a**3 + 4*a - 5 Differentiate 80*a**3*w + 2*a**3 + 193*a**2*w**3 - 15*a**2 + a + 2*w**2 - 409 with respect to w. 80*a**3 + 579*a**2*w**2 + 4*w What is the third derivative of 33*c**2*l**3 + 3*c**2*l**2*r*x + 2*c**2*l*x**2 - 1464*c**2*x**2 - 2*c*l**3*x**2 - 61*l**3*r + l**2*x wrt l? 198*c**2 - 12*c*x**2 - 366*r Find the second derivative of -3*d*g*r**2 - d*g*r - 2*d*g - 64392*d*r**2 - 3*d*r - g*r**2 - 974*r wrt r. -6*d*g - 128784*d - 2*g Find the second derivative of -b**3*u**2 - b**3*u*z + 28*b**3 + b**2*u*z - 2*b*u**2*z - b*u**2 + 2*b*z + 2261*u**2 - 21*u*z wrt u. -2*b**3 - 4*b*z - 2*b + 4522 Find the second derivative of -9353*l**3 - 28454*l wrt l. -56118*l What is the second derivative of 2*b**3 + 2056358*b**2 + 736452*b wrt b? 12*b + 4112716 What is the second derivative of 11*i**4 + 429*i**3 - 603*i - 9? 132*i**2 + 2574*i Differentiate 1162*p**2*x**2*y - 3*p**2*x - 16*p**2*y + p - 2*x**2 + 27*x with respect to y. 1162*p**2*x**2 - 16*p**2 Find the third derivative of -3*o**3*v**3 - 820*o**3*v - 3*o**3 + 42468*o**2*v**3 wrt o. -18*v**3 - 4920*v - 18 What is the third derivative of -11168*m*u**3 + 2*m*u**2 + 3*m + 15*u**3 + 2*u**2 - 19536*u wrt u? -67008*m + 90 Find the third derivative of -2*b**4 - 107870*b**3 + 15*b**2 + 31*b wrt b. -48*b - 647220 What is the second derivative of 8*n**5*q**2 + 25472*n**2*o - 3*n*o*q - n*o + 4*n*q**2 + n*q + 2*o*q - 272*q wrt n? 160*n**3*q**2 + 50944*o Differentiate 1107813*k + 352495 with respect to k. 1107813 What is the second derivative of 475282*n**3 - 837206*n wrt n? 2851692*n What is the derivative of 16045*f**3 - 34439? 48135*f**2 Differentiate -2*c**3*f - 2*c**3*n - 22*c**2*f - 4*c**2*n - 2*c**2 + 124*f*n + 20*f wrt n. -2*c**3 - 4*c**2 + 124*f Find the first derivative of 1172*o**3*z**2 + 244919*o**3 - 3*o**2 + 503*z**2 wrt z. 2344*o**3*z + 1006*z What is the third derivative of -185092*b**3*n**3 - 1372*b**2*n - 67*b*n**3 wrt b? -1110552*n**3 Differentiate -1675771*s - 666958. -1675771 Differentiate 2*s**4 + 19*s**3 + 11*s - 35857 wrt s. 8*s**3 + 57*s**2 + 11 Find the third derivative of -297954*v**3 + 1714*v**2 + 8*v + 6 wrt v. -1787724 What is the derivative of -179051*w - 1772578 wrt w? -179051 What is the second derivative of f**2*o**3 - f**2*o + 4653*f**2 - 73*f*o**3 + 2*f*o**2 + 6*f - o**2 wrt f? 2*o**3 - 2*o + 9306 Find the second derivative of -16*m*u**4 + 71*m*u**3 + 13*m*u**2 + 198*m - 2595*u wrt u. -192*m*u**2 + 426*m*u + 26*m What is the first derivative of -606112*l*t**2*w - 2*l*t**2 + l*w - l - 154*w - 2636 wrt t? -1212224*l*t*w - 4*l*t Find the second derivative of 4142*d**2*k**3 + 6*d**2 + 25086*d*k**3 + 3*d wrt d. 8284*k**3 + 12 Find the second derivative of -7*r**3*u - 545*r**2*u - 4296*r*u + 8*u wrt r. -42*r*u - 1090*u Find the second derivative of -4*c**4 - 60932*c**2 - 87995*c wrt c. -48*c**2 - 121864 Find the first derivative of -7552*u**2 - 165493 wrt u. -15104*u What is the third derivative of 286225*c**4*o - c**2*o + 240603*c**2 wrt c? 6869400*c*o Differentiate -j**2*t**2 - 310*j**2*t + j**2 - 38*j - 53028*t**2 with respect to j. -2*j*t**2 - 620*j*t + 2*j - 38 Differentiate 217298*v + 345070 wrt v. 217298 What is the second derivative of 35284*p**4 + 184868*p wrt p? 423408*p**2 Find the second derivative of a**2*d*z**3 + 6*a**2*d + 5483*a**2*z + 5*a*d*z**2 - 9*a*z**3 + a*z**2 - 3*d*z - 2*d + 9*z**3 wrt a. 2*d*z**3 + 12*d + 10966*z Find the third derivative of 684184*w**3 + 207*w**2 - 3126*w wrt w. 4105104 Find the third derivative of -787*l**5 - 30*l**4 - l**3 + 44019*l**2 wrt l. -47220*l**2 - 720*l - 6 What is the second derivative of 3681*n**4*o - n**4 + 4*n**3 + 2*n*o - 48657*o wrt n? 44172*n**2*o - 12*n**2 + 24*n Find the first derivative of -125785*i**2 + 297569 wrt i. -251570*i Find the second derivative of 708*i**5 - 11*i**2*w - 14*i*w - 3*w + 128 wrt i. 14160*i**3 - 22*w What is the first derivative of 8*z**4 - 5*z**3 + 2*z**2 - 607*z + 737493 wrt z? 32*z**3 - 15*z**2 + 4*z - 607 Differentiate 217684*s - 45177 with respect to s. 217684 Find the second derivative of -2*j*p**2 + 76*j*q + 284*p**2*q**2 - 12*p**2 - 2*p - 3*q**2 - 6 wrt p. -4*j + 568*q**2 - 24 Find the second derivative of 33829*n**3 - 40*n + 85 wrt n. 202974*n Find the second derivative of 2*s**5 + 47268*s**3 + s**2 - 992126*s. 40*s**3 + 283608*s + 2 What is the second derivative of 113612*b**3 + 15414*b wrt b? 681672*b What is the first derivative of 13081*x**2 - 15591 wrt x? 26162*x Find the third derivative of 16*r**5 + 60498*r**4 + 402828*r**2 - r wrt r. 960*r**2 + 1451952*r Find the first derivative of -677*r*x**3 + 262*r*x**2 - r*x - 1022063*x**3 wrt r. -677*x**3 + 262*x**2 - x What is the third derivative of -307*r**4*z - 4779*r**3*z - 2350*r**2*z + r**2 - 5*r - 2*z wrt r? -7368*r*z - 28674*z What is the second derivative of 5*i**5 - 1316
{ "pile_set_name": "DM Mathematics" }