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Factor 4*w**2 + 316368*w - 2531200. 4*(w - 8)*(w + 79100) Solve 5*w**5 + 800*w**4 - 10160*w**3 + 27520*w**2 = 0 for w. -172, 0, 4, 8 Find a, given that 4*a**3 + 116696*a**2 + 442378340*a - 6561972720752 = 0. -17321, 5468 Factor -5*m**3 + 87868825*m**2 - 386046388540760*m - 1158139956441840. -5*(m - 8786884)**2*(m + 3) Find p such that 5*p**4 - 495*p**3 - 172125*p**2 + 698375*p + 870000 = 0. -145, -1, 5, 240 Find x, given that -2*x**5/13 + 7524*x**4/13 + 15062*x**3/13 - 1736*x**2 - 4632*x - 30112/13 = 0. -2, -1, 2, 3764 What is z in -23*z**5/2 - 1085*z**4/2 - 1842*z**3 + 10138*z**2 + 25552*z + 4128 = 0? -43, -6, -2, -4/23, 4 Determine p, given that 2*p**4 + 25286*p**3 + 80936966*p**2 + 6391055682*p = 0. -6281, -81, 0 Suppose -u**3/4 - 521489*u**2/4 - 16996988756*u - 16996858384 = 0. What is u? -260744, -1 Determine v so that -v**3 - 80769*v**2 + 5172288*v - 82772992 = 0. -80833, 32 Factor -5*x**3 + 4792705*x**2 - 1148460321775*x - 19525210586485. -5*(x - 479279)**2*(x + 17) Let 5*o**4 - 257380*o**3 - 2574165*o**2 - 6950520*o - 4633740 = 0. What is o? -6, -3, -1, 51486 Factor -20*f**2 + 18857608*f - 7543040. -4*(f - 942880)*(5*f - 2) Suppose -2*n**4/3 + 4715*n**3/6 + 13763*n**2 - 10764*n = 0. What is n? -18, 0, 3/4, 1196 Factor 3*z**2 - 616248*z + 41275149. 3*(z - 205349)*(z - 67) Suppose -2*j**3 + 4290*j**2 + 282056*j + 1537464 = 0. Calculate j. -58, -6, 2209 Let 5*c**2 + 7466560*c + 7466555 = 0. Calculate c. -1493311, -1 What is t in -10*t**5 + 12406*t**4 + 10557390*t**3 - 13326634998*t**2 - 18690574500*t + 16009651296 = 0? -1032, -2, 3/5, 1137 What is a in -4*a**4/3 + 57152*a**3/3 - 60761216*a**2 - 156191386624*a/3 - 29875231998976/3 = 0? -364, 7508 Factor 3*g**2/8 + 8891385*g/4 + 53348283/8. 3*(g + 3)*(g + 5927587)/8 Find u such that 5*u**2 - 3739430*u = 0. 0, 747886 Factor z**3/4 + 18513*z**2/2 + 319435569*z/4 - 109592030700. (z - 1200)*(z + 19113)**2/4 Factor 4*s**2 - 55209128*s + 190502988407524. 4*(s - 6901141)**2 Factor -y**3/3 - 3655*y**2 - 10956525*y - 5012024625. -(y + 555)*(y + 5205)**2/3 Suppose x**4/2 - 13737*x**3 + 136016736*x**2 - 562378173440*x + 779269072257024 = 0. What is x? 2802, 8224 Determine x so that 3*x**4 - 4719*x**3 + 4710*x**2 + 9432*x = 0. -1, 0, 2, 1572 Solve -4*n**2 - 525158736*n - 17236981124819856 = 0. -65644842 Find s, given that -46*s**5/9 - 31736*s**4/9 + 363400*s**3/3 - 7389700*s**2/9 - 7779914*s/9 + 243892/3 = 0. -723, -1, 2/23, 11, 23 Factor 2*l**2/13 - 27089580*l/13. 2*l*(l - 13544790)/13 Factor -3*g**2/7 + 5991024*g/7 - 2991030714048/7. -3*(g - 998504)**2/7 Suppose -64*s**5 - 68528*s**4 - 50940*s**3 + 450175*s**2 + 829625*s + 401250 = 0. Calculate s. -1070, -5/4, 3 Let k**3 + 256805*k**2 + 2054388*k + 3081564 = 0. Calculate k. -256797, -6, -2 Let 2*o**3/3 - 404*o**2/3 - 227518*o/3 + 228712 = 0. Calculate o. -253, 3, 452 What is k in -4*k**4 + 3596*k**3 + 226328*k**2 - 229920*k = 0? -60, 0, 1, 958 Factor 2*a**2 + 244446*a + 4643752. 2*(a + 19)*(a + 122204) Factor a**3/3 - 656081*a**2/3 - 13997760*a. a*(a - 656145)*(a + 64)/3 Factor 5*f**4 - 137535*f**3 + 946000080*f**2 - 2836762560*f. 5*f*(f - 13752)**2*(f - 3) Solve 14*r**5/3 - 3267596*r**4/3 + 63567577856*r**3 - 1506996581184*r**2 + 8714252371968*r + 2614289154048 = 0. -2/7, 12, 116688 Suppose 19*j**3 - 1102524*j**2 + 1740780*j = 0. Calculate j. 0, 30/19, 58026 Let y**3/6 - 6457*y**2/2 + 103184*y - 2475392/3 = 0. Calculate y. 16, 19339 Factor -4*c**3 - 956*c**2 - 25528*c + 54912. -4*(c - 2)*(c + 33)*(c + 208) Factor 3*q**4/4 - 116251528*q**3 + 6006407868537342*q**2 - 103445048517432478327728*q - 68963368347802961568868. (q - 51667346)**3*(3*q + 2)/4 Factor 4*a**4 + 26872*a**3 - 161328*a**2 + 322720*a - 215168. 4*(a - 2)**3*(a + 6724) Solve -3*d**2/5 + 236541*d/5 + 4736820 = 0. -100, 78947 Factor -4*p**3 + 598972*p**2 - 22430451324*p + 560386988100. -4*(p - 74859)**2*(p - 25) Suppose 3110*o**5/3 + 5414*o**4 - 88506*o**3 + 224298*o**2 + 39312*o - 437400 = 0. What is o? -4050/311, -6/5, 3 Determine b so that 2*b**5 + 224768*b**4 + 6316430162*b**3 + 75769517948*b**2 + 132590644472*b + 63137331920 = 0. -56186, -10, -1 Solve 39*n**2 - 3976524*n + 611772 = 0 for n. 2/13, 101962 Find c such that 4*c**5 - 11832*c**4 - 822028*c**3 - 3157856*c**2 - 3896976*c - 1549312 = 0. -64, -2, -1, 3026 Let 3*v**3 - 468*v**2 - 7788*v + 2031120 = 0. What is v? -62, 78, 140 Factor -3*v**3/7 + 2661*v**2/7 - 624360*v/7 + 14976900/7. -3*(v - 430)**2*(v - 27)/7 Solve 2*t**2/3 + 19895*t/6 + 19891/6 = 0. -19891/4, -1 Factor z**3 + 219141*z**2 + 12005365752*z - 36018069552. (z - 3)*(z + 109572)**2 Find l, given that -4*l**5 - 15156*l**4 + 15244*l**3 + 318196*l**2 - 621480*l + 303200 = 0. -3790, -5, 1, 4 Suppose -29403*n**4 - 20603564586*n**3 - 10828152483611269*n**2/3 - 145833695074220*n/3 - 491022532900/3 = 0. What is n? -350365, -2/297 Find z such that -543326*z**5/5 + 1046267*z**4/5 + 196633*z**3/5 - 237886*z**2/5 + 9184*z/5 + 6272/5 = 0. -1/2, -1/7, 56/197, 2 Factor 2*y**3 + 278512*y**2 - 1949662*y + 2785260. 2*(y - 5)*(y - 2)*(y + 139263) Suppose -3*a**3/7 - 900*a**2/7 + 442803*a/7 - 313020 = 0. Calculate a. -564, 5, 259 Determine v, given that -4*v**3 - 7768*v**2 + 78124*v + 85888 = 0. -1952, -1, 11 Factor 2*v**2/7 - 75599368*v/7 - 10799910. 2*(v - 37799685)*(v + 1)/7 Factor 2*b**2/7 + 1067440*b/7 + 2134872/7. 2*(b + 2)*(b + 533718)/7 Let v**4 + 469*v**3 - 2462*v**2 - 43512*v + 45504 = 0. Calculate v. -474, -8, 1, 12 What is r in -3*r**2 + 29005239*r + 29005242 = 0? -1, 9668414 Find f, given that -30*f**5 + 5973*f**4 - 263277*f**3 - 804012*f**2 - 478572*f + 56160 = 0. -2, -1, 1/10, 72, 130 Let h**4/4 - 260499*h**3/4 + 11460457*h**2/4 - 113817777*h/4 - 137780695/2 = 0. What is h? -2, 23, 260455 Let 8*r**4/3 - 333956*r**3/3 + 1160091868*r**2 + 102954111700*r/3 + 50606945204/3 = 0. Calculate r. -29, -1/2, 20887 Factor 2*q**2 - 34757360*q + 151009259271200. 2*(q - 8689340)**2 Determine q, given that 2*q**3 - 629010*q**2 - 1258026*q - 629014 = 0. -1, 314507 What is p in -20*p**5/3 + 2377*p**4 - 50702*p**3/3 - 231164*p**2 - 1206254*p/3 - 190205 = 0? -109/20, -1, 15, 349 Determine k, given that -3*k**2/4 - 2185443*k + 26225343/4 = 0. -2913927, 3 What is h in 2*h**5/7 + 9044*h**4 - 759880*h**3/7 + 3293072*h**2/7 - 6079744*h/7 + 4053248/7 = 0? -31666, 2, 4 Factor -o**3/4 + 34841*o**2/4 + 60984*o. -o*(o - 34848)*(o + 7)/4 Determine v, given that -9*v**5 - 11490*v**4 - 76335*v**3 - 171570*v**2 - 152436*v - 45720 = 0. -1270, -3, -2, -1, -2/3 Find t, given that -2*t**4 - 9038*t**3 - 7388150*t**2 + 6770913750*t = 0. -2525, 0, 531 Factor -5*c**3 + 11587*c**2 - 96994*c + 36944. -(c - 2309)*(c - 8)*(5*c - 2) Let 10*o**3 + 2128*o**2 - 135066*o + 26928 = 0. What is o? -264, 1/5, 51 Determine r so that -2*r**3/3 + 128422*r**2/3 - 2060048614*r/3 - 47449077694/3 = 0. -23, 32117 Factor 4*w**2/3 - 665188*w/3 - 2660816/3. 4*(w - 166301)*(w + 4)/3 Factor s**3 + 517*s**2 + 51327*s - 889605. (s - 15)*(s + 159)*(s + 373) Let -h**4/8 - 4155*h**3/8 + 108281*h**2 - 215523*h/2 = 0. What is h? -4354, 0, 1, 198 Factor -5*i**2 - 154705*i - 8801940. -5*(i + 57)*(i + 30884) Determine n so that -3*n**2 + 1230*n - 91083 = 0. 97, 313 Solve 3*n**4/8 - 707697*n**3/4 + 166952091423*n**2/8 - 417353690295*n/2 + 1043362110675/2 = 0 for n. 5, 235894 Factor -2*o**3/13 - 1204128*o**2/13 + 4816536*o/13 - 4816544/13. -2*(o - 2)**2*(o + 602068)/13 Factor i**2/4 - 345547*i/2. i*(i - 691094)/4 Solve -4*d**3 - 2944*d**2 + 57380*d = 0 for d. -755, 0, 19 Suppose -4*a**5 - 52*a**4 + 1372*a**3 + 4420*a**2 + 3000*a = 0. Calculate a. -25, -2, -1, 0, 15 Solve 3*w**2 + 671580*w + 4029372 = 0. -223854, -6 Factor 1665*c**3 + 5672661*c**2 + 20442*c. 3*c*(c + 3407)*(555*c + 2) Solve -v**5/8 - 2217*v**4/4 - 966531*v**3/4 - 24043664*v**2 + 7135408335*v/8 - 28501607475/4 = 0 for v. -3958, -253, 15 Factor 731*h**3/12 + 106775*h**2/3 + 15610612*h/3 + 4177936/3. (h + 292)**2*(731*h + 196)/12 What is y in -28998*y**3 - 8757429*y**2 - 661193364*y - 752433 = 0? -151, -11/9666 Factor -t**3 + 523790*t**2 + 523793*t - 1047582. -(t - 523791)*(t - 1)*(t + 2) Factor -3*z**2/5 - 723858*z/5 - 43664200347/5. -3*(z + 120643)**2/5 Determine c so that 2*c**3 - 15704*c**2 + 6385482*c - 19015164 = 0. 3, 427, 7422 Factor -3*t**4 + 34791*t**3 - 133274700*t**2 + 16
{ "pile_set_name": "DM Mathematics" }
+ -4. Suppose -642*g = -267*g + 1146*g + 4563. Sort w, 5, k, g in descending order. 5, w, g, k Let a = 3898 - 50676/13. Put -4, a, 2/7, 0, -115 in decreasing order. 2/7, 0, a, -4, -115 Let c = 0.1 + 2.9. Let b = -3296874769/1506 + 2189160. Let q = b + 10/251. Sort q, -1/9, -3, c. -3, -1/9, q, c Let l = 6.223 + -0.023. Let o = 5.3 + l. Let q = 6.5 - o. Sort 1, q, -0.4, -1/3. q, -0.4, -1/3, 1 Let t be ((-10)/4)/((-5)/2). Sort 3, 4, t, 5 in increasing order. t, 3, 4, 5 Let q(v) = 57*v + 37*v + 14 - 91*v - 6*v**2 + v**3. Let r be q(5). Put 6, -4, r in descending order. 6, r, -4 Let t = 748 - 747.303. Let p = t + -0.297. Let w be ((-1)/(-20))/(6/45). Put p, -1/2, w in increasing order. -1/2, w, p Let n = -10.07 + 0.07. Let h = -19 - n. Let k = 8505 - 8505.5. Put h, 1/6, k in decreasing order. 1/6, k, h Let q(s) = -s**2 + 7*s - 16. Let n be q(5). Let r = n + 7. Let k be 2*(-2 + r)/1. Sort k, 5, -3, 2. -3, k, 2, 5 Let i = -8.947 - -12.947. Put 2/11, -2/9, -154, i in increasing order. -154, -2/9, 2/11, i Let a = 1640 + -1640.2. Sort 1, a, -3/104. a, -3/104, 1 Suppose 265*b = 5*v + 266*b + 15, -2*v - 4*b - 6 = 0. Sort -4, -8, v, -2 in descending order. -2, v, -4, -8 Suppose -4*a = 2*t + 6 + 20, -t + 3*a + 2 = 0. Let v(u) = -u**3 + 3*u**2 + 13. Let b be v(4). Sort -2, t, b, 5 in descending order. 5, -2, b, t Let q = -111 - -158. Let d = q + -34. Sort 2, d, 1 in descending order. d, 2, 1 Let a be (396/(-11))/(-6) - 7. Put a, 1, 4, -18 in descending order. 4, 1, a, -18 Let l = -1 - -0.9. Suppose 5*s = -4*z - 31 + 8, -4*s + 2*z + 18 = 0. Let k be (-6)/16*1/3. Put k, s, -0.3, l in ascending order. -0.3, k, l, s Let u = 7188337/6 - 1216518. Let t = 18376 + u. Let w = t + 86. Put 2/3, w, -0.3 in ascending order. -0.3, w, 2/3 Let s = -4.0634 + 0.0634. Let l(k) = k**3 + 2*k**2 - 3*k - 3. Let y be l(-2). Let g be y + 2 - (-2 + 2). Sort g, s, -5. -5, s, g Let h = 18887 + -18851. Sort h, 5, 119. 5, h, 119 Let u be ((-7)/(-21))/((-11)/363) - -6. Put 0, -3, u, 4, 1085 in increasing order. u, -3, 0, 4, 1085 Let n = 144.2 + -148.2. Let y be 2 - (-2 - 21904/(-5124)). Let k = 2/183 - y. Sort 4/7, 3, n, k in decreasing order. 3, 4/7, k, n Let j = -4 - -7. Let r be ((-12)/(-4) + (-10)/2)*(-98)/(-49). Sort 2, j, r in decreasing order. j, 2, r Let b = 1392 - 1391.8. Sort -0.3, -1, -2/93, b in decreasing order. b, -2/93, -0.3, -1 Let j = 767 - 766. Sort j, 4, 4/639 in descending order. 4, j, 4/639 Suppose -5*b = g - 5, -4 = 2*b - g + 1. Suppose -5*q + 116 = i, -q + 3*i - i = -21. Suppose w = q*w - 66. Put b, 7, w in decreasing order. 7, w, b Suppose -40*n + 66*n = -61*n + 87. Put -624, -2, n in descending order. n, -2, -624 Let x = 190.7 - 191. Sort 4, 0, -5, x, -37 in ascending order. -37, -5, x, 0, 4 Let h = -0.005 + 43.505. Let a = 44 - h. Sort 4/3, a, 0.53 in descending order. 4/3, 0.53, a Let b be 5 + 1 + 9/(-3). Suppose -28 = -b*i - i. Let g(u) = u**2 - 75*u - 1243. Let h be g(89). Put h, i, 5 in descending order. i, 5, h Suppose -2848*f + 2828*f = 0. Sort 552, -3, f in ascending order. -3, f, 552 Let a = -1897 + 1898. Put -6, a, 3, -1, 2 in descending order. 3, 2, a, -1, -6 Let u = 146 + -103. Let v = 43 - u. Put 45, v, -1 in increasing order. -1, v, 45 Let n be (8/3)/((-40)/(-12)). Let v = -1.305 + 1.355. Sort n, v, -0.3, 0 in decreasing order. n, v, 0, -0.3 Let t(z) = -z - 4. Let y be t(-5). Suppose 23*v - 20*v - 5*i - 5 = 0, -v + 3*i - 5 = 0. Let l be (12/v)/(((-18)/20)/(-3)). Put l, 6, y in descending order. 6, l, y Suppose 0 = -o - 4*c - 20, 8*c = o + 16 - 68. Sort -14.3, o, -0.3, 1, 0.2 in ascending order. -14.3, -0.3, 0.2, 1, o Let n be 3*(8/3)/(-4). Let t = 4 + n. Suppose y - 4*d = -41, 93*d - 92*d = 9. Sort t, 3, y in ascending order. y, t, 3 Let t = 12376 - 12376. Put -2, -1118, t in decreasing order. t, -2, -1118 Let j = -81517 - -81721. Let k(y) = -y**3 - y**2 + y + 4. Let t be k(0). Sort t, j, 0.3 in increasing order. 0.3, t, j Let w be (-150 - -150)*((-3)/2)/(-3). Suppose w = 119*p - 124*p - 15. Sort 2, 5, -5, p in increasing order. -5, p, 2, 5 Suppose -73*b = p - 75*b - 221, 2*p = 2*b + 446. Put 1, -5, p in ascending order. -5, 1, p Let c = 28111 - 28120. Put c, -44, 0, -5, -1 in descending order. 0, -1, -5, c, -44 Let j be (-72)/15*(3 + (-316)/12). Let w be 168/j + 1/(1 - 3). Put w, 283, -5 in increasing order. -5, w, 283 Let v be 7/(-19 + (-1328)/(-64)). Sort -41, v, 18, -3 in increasing order. -41, -3, v, 18 Suppose r - 3*j - 22 = 0, -2*r + 5*j - 121 + 169 = 0. Sort -39, -2, r, 3. -39, -2, 3, r Let p = -4 - -7. Let t = -88 - -101. Sort 5, 4/7, p, t. 4/7, p, 5, t Let y be -9 + (8 - (25/(-5) + 11)). Sort -10, y, -13. -13, -10, y Let p = -0.06 + -0.34. Let c(k) = k**3 - 72*k**2 + 615*k + 15. Let s be c(10). Put s, p, -0.2 in decreasing order. -0.2, p, s Suppose 7*y + 32 = -4*k + y, -2*y + 16 = -4*k. Put 1/8, k, -0.5 in descending order. 1/8, -0.5, k Let x(v) = -v**2 + 3*v - 3. Let c be x(2). Let a be (-1425)/12 + -6 + 6/8. Let h = a - -121. Sort 5/2, h, c, 0.2 in increasing order. h, c, 0.2, 5/2 Let x = 607 + -55242/91. Put x, -1/7, -4 in increasing order. -4, -1/7, x Let t = -0.01 + 0.31. Let z = 1005/2 + -503. Sort t, -5, z, 4 in ascending order. -5, z, t, 4 Suppose -1276*o = -1214*o - 248. Sort 1, 2, 3, o, 175 in decreasing order. 175, o, 3, 2, 1 Let n = -4293 - -4290. Put n, -4, 0, -12, 5 in decreasing order. 5, 0, n, -4, -12 Let v = 67.84 - 68.07. Sort -0.7, v, 1 in increasing order. -0.7, v, 1 Let i = 4567 + -4703. Put -2, 6, 1, i in descending order. 6, 1, -2, i Let z = -216 - -221. Let x be (-8 + 1 + z)/((-18)/2). Let l = 351/4 + -87. Sort l, -22/9, x in increasing order. -22/9, x, l Let w = -6.065 + 5.865. Sort w, 0, 2, -54, -1. -54, -1, w, 0, 2 Let m = -0.2 - -0.1. Let p = 13176.2 - 13176.34. Sort m, p, 0.3, -1/4 in decreasing order. 0.3, m, p, -1/4 Let q = 9197.979 + -9198. Let n = 7/22 + 53/110. Put n, 0.2, q, 4 in decreasing order. 4, n, 0.2, q Let o(v) = -v**2 - 24*v - 176. Let r be o(-12). Put r, -5, 3, -4, -2 in descending order. 3, -2, -4, -5, r Let k(a) = a - 5. Let l be k(6). Suppose 5*p = -n - 20, 33 - 13 = -5*p - 4*n. Sort 19, p, l in descending order. 19, l, p Let p = 61941/1906 - -2/953. Let o = p - 33. Let n = -0.5 + 0.7. Sort o, 0, n in decreasing order. n, 0, o Let w = 457/7 - 65. Let a be 18/(-819)*-371 + -8. Sort w, -4, a, 2 in decreasing order. 2, w, a, -4 Suppose 0 = -28*x + 52*x + 44*x. Let w(b) = b - 2. Let z be w(1). Put z, x, -2 in descending order. x, z, -2 Let c = 1.259 - -0.741. Sort -2/21, -16, c in increasing order. -16, -2/21, c Suppose -3*i = -4*b - 21, 6 = 2*i - 5*b - 8. Suppose 2*p + 5 = 2*a - i, 2*a = -4*p - 12. Let w(g) = 6*g - 9. Let z be w(a). Put -1/3, -1, z in increasing order. -1, -1/3, z Let q be -11*((-465)/(-55) + -5). Sort -5, -4, 57, q, 1. q, -5, -4, 1, 57 Suppose -7*h - 464 + 72 = 0. Let p be ((-184)/h - 3) + 102/(-14). Sort 2, -1, 0.3, p. p, -1, 0.3, 2 Let y(w) = -45*w + 800. Let h be y(20). Let d(k) = -14*k - 121. Let f be d(-9). Put f, -1, h, 3 in ascending order. h, -1, 3, f Let m be -1*(-12 - (-7 - 1)). Suppose -2*y + 65 = 5*v + 208, 5*y - 4*v + 341 = 0. Let s be (-6)/(-15) + y/(-15). Sort 17, m, -4, s in decreasing order. 17, s, m, -4 Let j = -0.2 + 0. Suppose -g = -3*o + 172 + 55, -2*o + 3*g = -156. Let b be (o/(-30))/((-5)/(-3)). Sort -9, b, j in descending order. j, b, -9 Suppose 4*o - 5*w = 13, -4*o - 3*w - 12 = 15. Let z be (4/(-12)*4)/(10*(-10)/75). Put 0, z, o, 13 in descending order. 13, z, 0, o Suppose -3*p - 3*u = -15, 0 = -5*p - u - 2 + 39. Let l be (-57)/247 + (-1290)/1677. Put 1, p, l in increasing order. l, 1, p Suppose 7*x - 6 = 1. Let n(c) = 169*c + 3. Let f be n(x). Suppose 180 - f = 4*p. Put -3, 5, p, 0 in increasing order. -3, 0, p, 5 Let l(d) = -d**2 - 136*d + 276. Let x be l(2). Sort x, 0.3, -478. -478, x, 0.3 Let o = 74 + -103. Let m = 8542.08 + -8541.58. Put o, m, 5 in descending order. 5, m, o Let x be -1*1 - (23 + -28). Suppose 4*r - 4*n + x = 8*r, 4*n - 16 = 2*r. Sort r, 3, 14, -5. -5, r, 3, 14 Let c(x) = 2*x + 7. Let g be c(-2). Let v(a) = 3*a**2 - 18*a + 6. Let d be v(8). Suppose 18 = 9*p + d. Sort 5, -2, p, g in ascending order. p, -2, g, 5 Let u be -9*(88/(-12) - -7). Let g = 8 - 6. Put -4, 0, u, g in decreasing order. u, g, 0, -4 Suppose -4*j - 3*j = -2*c
{ "pile_set_name": "DM Mathematics" }
197 - 176*sqrt(2) Simplify ((sqrt(228) - ((sqrt(228) - (sqrt(228) - 3*sqrt(228)))*-4 - sqrt(228)))*-4)/((sqrt(768)*-6 - sqrt(12))*2)*2. 8*sqrt(19)/7 Simplify 3 + -4*(sqrt(68)*3 + sqrt(17)*4 + -2) + -5. -40*sqrt(17) + 6 Simplify ((sqrt(3) - (sqrt(3) - (-2*sqrt(300))**2)) + -1 + sqrt(147))*3 + (sqrt(324) - (sqrt(324)*2 + sqrt(324)))/(sqrt(363)*-3). 235*sqrt(3)/11 + 3597 Simplify ((3*sqrt(315)*-1 + sqrt(315))/(sqrt(10)/(-4*sqrt(2)))*6)**2. 145152 Simplify (4*((sqrt(156)*2 - sqrt(39) - sqrt(39)) + sqrt(39) + -1*sqrt(156)/sqrt(4) + sqrt(39)))/((sqrt(45)/sqrt(3)*4)/((sqrt(50)*-2)/sqrt(10) - sqrt(5))). -9*sqrt(13) Simplify -1 + -5*(1*(sqrt(85) + -3*sqrt(85) + sqrt(85))*-1)/((sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80)*1 - sqrt(80)) + 5*sqrt(45)). -1 - 5*sqrt(17)/31 Simplify 5*(-2 + 5*(-3 + 4 + sqrt(2448) + (sqrt(2448) - (sqrt(2448) - (sqrt(2448) - sqrt(2448)*4)*-1)))**2). 2400*sqrt(17) + 979215 Simplify -5 + (sqrt(306) + sqrt(306) + ((4*sqrt(306)*-1 - sqrt(306)) + sqrt(306) - sqrt(306) - sqrt(306) - sqrt(306)) + sqrt(306))/(sqrt(200)*2*6) + -3 + -5. -13 - sqrt(17)/10 Simplify (sqrt(3744)*-3)/(sqrt(18)*-3) + (5 + (-1 + sqrt(13)*-2 + sqrt(13))**2 - (-1 + sqrt(13) + 1 + 5)). 14 + 5*sqrt(13) Simplify (-1*((-2 + (1 + sqrt(1584))*2)*3 - -1*(-4*sqrt(99)*-2)/(sqrt(36)*-6)))**2. 503756/9 Simplify -3*(5 + (1*sqrt(288)*-1 + 1)**2 + (sqrt(288) + ((sqrt(288)*-3 - sqrt(288)) + 0 + sqrt(288))**2 - (3*(sqrt(288) - (0 + sqrt(288)) - sqrt(288)))**2)). -882 + 36*sqrt(2) Simplify (sqrt(66)*-1*5 + sqrt(66) - (-6*sqrt(66)*5 + sqrt(66)))/(sqrt(486)*4 + sqrt(486) - sqrt(486)*-2). 25*sqrt(11)/63 Simplify 1 + 2*(-4 + -4 + 0 + sqrt(343))*-6*-6. -575 + 504*sqrt(7) Simplify (2*(sqrt(66) - sqrt(66)*1) - (sqrt(66) + sqrt(66)*1 - sqrt(66))*5)/((sqrt(30) - 4*3*sqrt(30))/sqrt(5)) + 5. 5*sqrt(11)/11 + 5 Simplify ((sqrt(117) + ((0 + sqrt(117))*-3 - sqrt(117)))**2 + 2*sqrt(117) + 4 - (-2*sqrt(117)*2 + sqrt(117) + (1*sqrt(117)*4)**2 + sqrt(117))) + 5. -810 + 12*sqrt(13) Simplify 3 + -1*((-2 + 0 + -1*sqrt(2299))*-1)**2. -2300 - 44*sqrt(19) Simplify (sqrt(76) + -2*sqrt(76)*-1)/((sqrt(44) + sqrt(704))/sqrt(11) + sqrt(4)) - (sqrt(57)/(-4*sqrt(75)) + 1). -1 + 11*sqrt(19)/20 Simplify (-1*((sqrt(98) + -1 + -1 - (-5 + -2*sqrt(98))) + -3*(1 + sqrt(98)) + (sqrt(98)*-1 - sqrt(98)) + 3)*-6)**2. -3024*sqrt(2) + 14436 Simplify (-4*(sqrt(12) + sqrt(1200)*1))/((-6*sqrt(72)/sqrt(6))/sqrt(2))*-2. -44*sqrt(2)/3 Simplify (((sqrt(50)*-2*6)/(2*sqrt(72)))/(-2*sqrt(180)*5*-5))**2. 1/18000 Simplify ((1*sqrt(234)*2)/(sqrt(6) - sqrt(48)/sqrt(32)))/(sqrt(12) - sqrt(36)/sqrt(3) - sqrt(12)/sqrt(100)). -20*sqrt(13) Simplify ((-5*-2*sqrt(77) + sqrt(77)*-1*4)*-3)/(4*sqrt(112)*-1*5). 9*sqrt(11)/40 Simplify (-4 + (1*(sqrt(66)*1 + sqrt(66) - sqrt(66)) - sqrt(66) - (sqrt(66) - sqrt(66)*-2*1))/(-3*(2*sqrt(6)*6 - sqrt(6))))**2. -8*sqrt(11)/11 + 177/11 Simplify (-5*sqrt(228)*2*4*-3)/(-3*sqrt(48) + sqrt(36)/sqrt(3)*-1). -120*sqrt(19)/7 Simplify 3 + (-1*sqrt(147) + 5 + -2)**2 + (-2*sqrt(3) + -3 + 2 - -2*(sqrt(3) + 3*sqrt(48))**2). -44*sqrt(3) + 1172 Simplify (3*(3*(sqrt(95) - -2*sqrt(95)) - sqrt(95)))/(sqrt(605)*2*-5)*-1 + -3. -3 + 12*sqrt(19)/55 Simplify (sqrt(22)*1*2*5*-5)/((-4*(sqrt(99)*2 + sqrt(99)))/((-1*sqrt(45))/sqrt(5))). -25*sqrt(2)/6 Simplify ((5*(sqrt(117) - -1*sqrt(117) - sqrt(117))*-5*4*2)**2 + -5)*3. 14039985 Simplify (4*((sqrt(175) - -5*sqrt(175)*2)/(-5*sqrt(20)))/(sqrt(1372) + -2*(sqrt(1372) + 2*sqrt(1372) + sqrt(1372))))**2. 121/12005 Simplify ((4*-2*sqrt(76)*-4*-5)/((sqrt(64) - -4*sqrt(64)*-2) + (sqrt(64) - sqrt(64)*-2*5 - sqrt(64))))**2. 30400/9 Simplify ((sqrt(144)*-3 - sqrt(144))/sqrt(12))/(sqrt(96)*3) + (sqrt(72)/sqrt(81))/(sqrt(4) + (sqrt(28) - sqrt(56)/sqrt(2))/sqrt(7) + sqrt(4)). -sqrt(2)/6 Simplify (sqrt(4896) - (sqrt(4896) + -3*sqrt(4896)*6 + sqrt(4896) - sqrt(4896)))/((sqrt(6)*-1)/sqrt(3) - sqrt(6)/(sqrt(12)/sqrt(4)))*6. -648*sqrt(17) Simplify ((6*(-4 + sqrt(832)*5 + sqrt(832)) + 5*((sqrt(832) + sqrt(832) + 3 + sqrt(832) + 1 - sqrt(832)) + sqrt(832)))*-5)**2. -81600*sqrt(13) + 54101200 Simplify (2 + -6*(2*(sqrt(143) + (sqrt(143) + sqrt(143)*-5 - sqrt(143))))/(sqrt(704) - 2*sqrt(704) - sqrt(11)))**2. -64*sqrt(13)/3 + 3364/9 Simplify 1*(2 + -5 + 6*((-2*sqrt(75) + 4 - sqrt(75) - sqrt(75)) + 1))**2. -6480*sqrt(3) + 43929 Simplify -1 + (-5 + (-1*(sqrt(2057) + -1) - (1*sqrt(2057) + 1)) + (-5*(-1 + sqrt(2057)) - ((-1*sqrt(2057) - sqrt(2057)) + sqrt(2057))*-2))**2. 166616 Simplify 0 + ((3 + (sqrt(304) - (5 + sqrt(304)*1)))**2 - (-3*(1 + sqrt(304) + 4))**2). -2957 - 360*sqrt(19) Simplify 1*(2 + sqrt(14)/sqrt(7) + 0) - (sqrt(216) + sqrt(216) + sqrt(216)*-2 + sqrt(216))/(2*sqrt(432)). 3*sqrt(2)/4 + 2 Simplify -5*(((-3*sqrt(228)*-1)/sqrt(12) - -2*(3 + sqrt(171))) + -1)**2. -7820 - 450*sqrt(19) Simplify -2 + 5*(-4 + ((-2 + sqrt(108))*-1 + sqrt(108)*-1*-2 + 1)**2 + -3). 180*sqrt(3) + 548 Simplify -1*(sqrt(11) - (-1*sqrt(11) + 2) - (sqrt(33) + -2*sqrt(33) - sqrt(33))/sqrt(3) - (5 + (sqrt(44) - sqrt(11)) + 3*sqrt(11)*-1)**2)*-5. -355 + 120*sqrt(11) Simplify 0 + (sqrt(1872)*2*-6 - sqrt(1872)) + ((sqrt(182)/sqrt(7) - sqrt(26))/sqrt(2) - sqrt(208)*3). -168*sqrt(13) Simplify (5*(sqrt(68) + -1*sqrt(68) + sqrt(68)) + (2*sqrt(68) - sqrt(68))*2)/((sqrt(400) - -3*sqrt(400)) + sqrt(484)*2). 7*sqrt(17)/62 Simplify 1*((sqrt(243) + -1)*1 + -2 + 4*sqrt(243)*1*-3)**2 + 3. 594*sqrt(3) + 29415 Simplify -5 + -1*((sqrt(76) + sqrt(76) + -1)*2 + -1 + sqrt(76) + 1 + (0 + sqrt(76)*2 - sqrt(76)) + sqrt(76)*-2*-5)**2. -19465 + 128*sqrt(19) Simplify ((sqrt(528) + 1*(sqrt(528) - (sqrt(528) + sqrt(528)*-2)))/(1*sqrt(192)))/((sqrt(44) - 1*sqrt(6336))/(sqrt(33)/sqrt(3)*-5)). 15*sqrt(11)/44 Simplify 6*(6*(sqrt(208)/((sqrt(80)*1)/sqrt(10)))/(sqrt(32)*-6 + sqrt(128)/sqrt(4)) + 2)**2. -36*sqrt(13)/5 + 1551/50 Simplify (-2*(sqrt(133) + 6*(1*sqrt(133) + sqrt(133)) + sqrt(133) + sqrt(133) - sqrt(133)*2*-1))/(sqrt(448)*-2 + sqrt(7) + 6*-2*sqrt(7) + sqrt(7)). 17*sqrt(19)/13 Simplify (-3 + (-2*sqrt(1539) + -5 + 0 + -3*sqrt(1539) - ((sqrt(1539)*-2 + sqrt(1539))*-3 - (0 + sqrt(1539))*-3)))**2. 1584*sqrt(19) + 186283 Simplify (3 + (6*(sqrt(2430) + sqrt(2430)*-2 + sqrt(2430)))/(sqrt(70)/(-2*sqrt(343) - sqrt(7))))**2 + -3. 6 Simplify 2 + (sqrt(76)/sqrt(4))**2*-1 + -2 + -1 - 4*sqrt(114)/sqrt(6)*1*2*-5. -20 + 40*sqrt(19) Simplify (((sqrt(143) + 2*sqrt(143))*5 + sqrt(143))/(sqrt(275)*3))**2 - (4 + (sqrt(1573)*1*2 + sqrt(1573))*-2)**2. -12741572/225 + 528*sqrt(13) Simplify ((3 + (sqrt(128) + -2)*-1)**2 + (-3*sqrt(28)/sqrt(2))/((sqrt(70) + (sqrt(70)*1 - sqrt(70)))/sqrt(10)))*-4. -612 + 332*sqrt(2) Simplify (2 + (2 + (-3*sqrt(468))**2 - (sqrt(468) + 3 + 1)**2))*5. -240*sqrt(13) + 18660 Simplify (3*4*-2*sqrt(80)*-1)**2 + 1 + (4 + 2 + (sqrt(80) + sqrt(80)*4 - sqrt(80)))**2. 192*sqrt(5) + 47397 Simplify ((sqrt(5400) - -1*sqrt(5400)*-5)/(-5*-6*sqrt(147)))**2*-2. -64/49 Simplify ((sqrt(440)/(sqrt(392)*2))/(-5*(sqrt(320)*2 + sqrt(320))) + -4)*-2. sqrt(11)/840 + 8 Simplify (sqrt(28)/(sqrt(196)*1 + sqrt(4))*-4 + 5 + sqrt(252)*-2 + sqrt(252) + -1 + 5)**2 + -4. -117*sqrt(7) + 1491/4 Simplify (2*(sqrt(112)*3 - sqrt(28)))/(1*(sqrt(8)/sqrt(2) + sqrt(4) + sqrt(4)) + 2*sqrt(4)*3)*-3. -10*sqrt(7)/3 Simplify ((-2 + 1 + sqrt(176) - (sqrt(176) - (sqrt(176)*1 + -2 - sqrt(176))))*6)**2 + 4 + 4*(sqrt(2156)*2)**2. 34824 Simplify (-3*sqrt(95)*6 + sqrt(95) + -2*sqrt(95)*-5 + sqrt(95))/(-3*sqrt(15)/(1*sqrt(108))). 12*sqrt(19) Simplify -3*((-4 + 1*sqrt(175) + 3)**2 + (-2 + (3*sqrt(175) - sqrt(175)))**2*-6)*-4. -48576 + 2760*sqrt(7) Simplify (3*((sqrt(11) - 4*sqrt(99))*5*3 - (2 + sqrt(176) - sqrt(176) - (-3*sqrt(11) + 2))))**2. 2794176 Simplify (6*(-1 + (-3*(sqrt(3969) + sqrt(49)))/(sqrt(343) + sqrt(343)*-5)*-1))**2. 540*sqrt(7)/7 + 2277/7 Simplify -5*(2 + (sqrt(912)*-1 + sqrt(912))/sqrt(3) - ((1*sqrt(209)*4 - sqrt(209))/sqrt(11) + -2)). -20 + 15*sqrt(19) Simplify -4*(sqrt(7) + (sqrt(126)/sqrt(2))/sqrt(9) + sqrt(7))*-1 - (sqrt(35)/(sqrt(5)*-5) - (((-2 + -4 + sqrt(7))**2 - sqrt(7)) + sqrt(7))). sqrt(7)/5 + 43 Simplify (3*(((4*(sqrt(88) - (1*sqrt(88) - sqrt(88))) - sqrt(88))*-5)/(sqrt(32)*1*-6) + -4) + 5)*6. -42 + 45*sqrt(11)/2 Simplify (6*1*sqrt(486)*6)/(sqrt(288) + -3*sqrt(288) - sqrt(2) - ((sqrt(160) - sqrt(10))/sqrt(5) - sqrt(2)))*-6. 72*sqrt(3) Simplify ((-2*2*sqrt(1400)*-3)/(3
{ "pile_set_name": "DM Mathematics" }
Solve -9*r**5 - 299*r**4 + 276*r**3 + 1264*r**2 - 960*r - 272 = 0 for r. -34, -2, -2/9, 1, 2 What is l in l**5 - 14*l**4 + 21*l**3 + 176*l**2 + 140*l = 0? -2, -1, 0, 7, 10 Suppose -2*j**2 - 100*j + 672 = 0. What is j? -56, 6 Factor 176*s**3 - 972*s**2 + 430*s + 150. 2*(s - 5)*(4*s - 3)*(22*s + 5) Factor 4*g**2 + 3295000*g + 3294996. 4*(g + 1)*(g + 823749) Suppose 4*x**2/9 - 8044*x/9 + 18704/3 = 0. What is x? 7, 2004 Factor 2*a**2 - 30898*a - 61804. 2*(a - 15451)*(a + 2) Factor k**2/2 + 7345*k/2. k*(k + 7345)/2 Find x such that 14*x**5 - 70568*x**4 + 622127234*x**3/7 + 127183732*x**2 - 661046536*x/7 + 101687056/7 = 0. -2, 2/7, 2521 Determine b so that 3*b**4 - 981*b**3 + 47877*b**2 + 48861*b = 0. -1, 0, 61, 267 Factor h**2/6 - 16153*h/6. h*(h - 16153)/6 Let 4*j**5 - 480*j**4 + 17984*j**3 - 198080*j**2 - 72000*j + 800000 = 0. What is j? -2, 2, 20, 50 Solve -2*l**2/11 + 164*l - 12530/11 = 0 for l. 7, 895 Factor -2*r**2/7 + 1528948*r/7 - 292210248338/7. -2*(r - 382237)**2/7 Factor 3*b**2/7 + 49482*b/7 + 98880. 3*(b + 14)*(b + 16480)/7 Suppose -8*j**3 - 97986*j**2 - 24496*j = 0. What is j? -12248, -1/4, 0 Suppose 2*h**3/13 + 674*h**2/13 + 48508*h/13 - 49184/13 = 0. Calculate h. -232, -106, 1 Solve -58*g**2/5 - 324*g + 112/5 = 0 for g. -28, 2/29 Find p, given that -3*p**3/4 + 43407*p**2/4 - 43401*p/2 = 0. 0, 2, 14467 Suppose -g**3/7 + 1718*g**2/7 + 13801*g/7 + 1726 = 0. Calculate g. -7, -1, 1726 Factor f**2 + 950*f + 1896. (f + 2)*(f + 948) Find y such that 220*y**3/9 + 2194*y**2/9 - 1780*y/3 + 16 = 0. -12, 3/110, 2 Suppose -2*t**5 - 284*t**4/9 + 1162*t**3/9 + 1124*t**2/9 - 304*t/9 = 0. What is t? -19, -1, 0, 2/9, 4 Determine i so that -i**2/4 + 307209*i/2 - 94377369681/4 = 0. 307209 Factor -2*q**2/23 + 2534*q/23. -2*q*(q - 1267)/23 Factor -4*c**2 + 57100*c - 228336. -4*(c - 14271)*(c - 4) Determine z so that -2*z**5 - 568*z**4 - 33260*z**3 + 1058808*z**2 + 2215134*z + 1123632 = 0. -153, -1, 24 Determine s, given that -16*s**3 + 4748*s**2 - 308164*s + 303432 = 0. 1, 94, 807/4 Find m such that 10*m**4 - 27135*m**3 - 122290*m**2 - 54360*m = 0. -4, -1/2, 0, 2718 Let -2*j**2 + 3962*j - 7916 = 0. Calculate j. 2, 1979 Factor 190*h**3 + 38575*h**2 - 76885*h - 2050. 5*(h - 2)*(h + 205)*(38*h + 1) Factor q**2/3 - 17456*q/3 - 58220. (q - 17466)*(q + 10)/3 Solve 5*q**4 + 170*q**3 + 460*q**2 - 170*q - 465 = 0 for q. -31, -3, -1, 1 What is u in -4*u**5/7 - 43212*u**4/7 + 43228*u**3/7 + 129628*u**2/7 - 216072*u/7 + 86432/7 = 0? -10804, -2, 1 Find k such that 2*k**3 + 7728*k**2 - 15462*k + 7732 = 0. -3866, 1 Determine p so that -5*p**3 + 13010*p**2 - 8436925*p - 33956180 = 0. -4, 1303 Solve -2*i**5 + 19222*i**4 - 46156820*i**3 - 138585812*i**2 - 138624266*i - 46214498 = 0. -1, 4807 Find i, given that -3*i**4 - 306*i**3 + 621*i**2 - 312*i = 0. -104, 0, 1 Determine w so that -2*w**2 + 4508*w + 4510 = 0. -1, 2255 Factor -b**4/4 + 1003*b**3/4 + 3015*b**2/4 + 3017*b/4 + 503/2. -(b - 1006)*(b + 1)**3/4 Factor -x**4/3 - 7*x**3 - 34*x**2 - 188*x/3 - 40. -(x + 2)**3*(x + 15)/3 Factor 5*k**2 + 28740*k - 28745. 5*(k - 1)*(k + 5749) Solve 3*f**2/4 - 357*f/4 - 4899/2 = 0 for f. -23, 142 Solve -3*r**3 - 3210*r**2 - 1043139*r - 92607408 = 0 for r. -463, -144 Factor 3*a**2/2 - 768*a + 60501/2. 3*(a - 469)*(a - 43)/2 What is f in f**4 + 6602*f**3 + 10896601*f**2 = 0? -3301, 0 Factor 3*h**4 - 621*h**3 - 1254*h**2. 3*h**2*(h - 209)*(h + 2) Factor -4*f**2 - 824644*f - 2473896. -4*(f + 3)*(f + 206158) Find q such that 3*q**2 - 735*q - 29400 = 0. -35, 280 What is p in -3*p**2 + 35970*p - 35967 = 0? 1, 11989 Find d, given that d**3/6 - 109*d**2/2 + 25595*d/6 - 39975/2 = 0. 5, 117, 205 Determine w so that 18*w**5 - 5172*w**4 - 19750*w**3 + 158920*w**2 - 179448*w + 55872 = 0. -8, 2/3, 3, 291 Factor -2*d**2/5 + 1732*d/5 + 10464/5. -2*(d - 872)*(d + 6)/5 Factor 2*v**4 - 14*v**3 - 84*v**2 + 432*v. 2*v*(v - 9)*(v - 4)*(v + 6) Suppose -5*u**2 + 1173500*u - 1173495 = 0. Calculate u. 1, 234699 Factor o**2 - 297*o + 1172. (o - 293)*(o - 4) Determine p, given that p**2 - 164*p - 3077 = 0. -17, 181 Determine c so that 5*c**5 - 2770*c**4 + 2765*c**3 = 0. 0, 1, 553 Determine c so that 2*c**3/15 + 6726*c**2/5 = 0. -10089, 0 Solve 147*b**5/4 - 8463*b**4/4 + 25479*b**3/2 - 21759*b**2 + 9510*b - 1224 = 0. 2/7, 2, 4, 51 Solve -2*r**3 + 538*r**2 + 600*r - 16200 = 0. -6, 5, 270 Find p such that 9*p**5/4 - 1109*p**4/4 + 2361*p**3/4 + 7117*p**2/4 + 1335*p/2 - 242 = 0. -1, 2/9, 4, 121 Let -4*n**3/7 - 1500*n**2/7 - 158688*n/7 - 5152192/7 = 0. What is n? -223, -76 Find k such that 2*k**5/17 - 104*k**4/17 - 1242*k**3/17 + 104*k**2/17 + 1240*k/17 = 0. -10, -1, 0, 1, 62 Factor 3*b**2 - 6327*b + 332910. 3*(b - 2055)*(b - 54) Factor -t**3/3 + 233*t**2 - 41064*t + 121104. -(t - 348)**2*(t - 3)/3 What is g in -2*g**4 + 1524*g**3 - 22410*g**2 - 1000*g + 747000 = 0? -5, 10, 747 What is m in 4*m**4 + 11128*m**3 + 10714164*m**2 + 4137724240*m + 553030195600 = 0? -1030, -361 Factor 24*j**4 - 963*j**3 - 4104*j**2 + 528*j. 3*j*(j - 44)*(j + 4)*(8*j - 1) Find c such that -4*c**4 - 4660*c**3 - 23224*c**2 - 27840*c = 0. -1160, -3, -2, 0 Let d**2 - 2604*d - 28765 = 0. Calculate d. -11, 2615 Factor 3*w**3/7 - 9*w**2 - 11838*w/7 - 23400/7. 3*(w - 75)*(w + 2)*(w + 52)/7 Suppose -4*j**4 - 148*j**3 - 972*j**2 - 1196*j + 2320 = 0. What is j? -29, -5, -4, 1 Suppose 4*x**3/3 + 568*x**2/9 + 1060*x/3 + 2624/9 = 0. What is x? -41, -16/3, -1 Determine i so that -3*i**5/5 + 141*i**4/5 - 2079*i**3/5 + 8607*i**2/5 + 2166*i = 0. -1, 0, 10, 19 Suppose -335*f**2 - 436180*f - 13020 = 0. What is f? -1302, -2/67 Suppose -4638*j**3/5 - 2782*j**2 + 18564*j/5 - 16/5 = 0. What is j? -4, 2/2319, 1 Factor -g**2 + 11273*g - 22542. -(g - 11271)*(g - 2) Solve -92*y**5 + 1101*y**4 - 3184*y**3 - 105*y**2 = 0 for y. -3/92, 0, 5, 7 Factor 3*d**3/8 + 17931*d**2/8 + 3350295*d + 3348054. 3*(d + 1)*(d + 2988)**2/8 Let 77675*u**4 + 1740*u**3 - 20*u**2 = 0. Calculate u. -2/65, 0, 2/239 Suppose 2*l**4 + 588*l**3 - 598*l**2 - 2352*l + 2360 = 0. Calculate l. -295, -2, 1, 2 Solve -5*b**3 - 6490*b**2 - 121675*b - 217430 = 0. -1279, -17, -2 Suppose j**2/8 - 97*j/4 + 95 = 0. Calculate j. 4, 190 Factor -4*x**3 + 1216*x**2 - 58688*x + 777728. -4*(x - 248)*(x - 28)**2 Determine b so that -22*b**5/7 - 10118*b**4/7 + 20346*b**3/7 + 10118*b**2/7 - 20324*b/7 = 0. -5081/11, -1, 0, 1, 2 Factor 5*d**2 + 35900*d - 35905. 5*(d - 1)*(d + 7181) Suppose -q**4 + 20136*q**3 + 100701*q**2 + 80564*q = 0. Calculate q. -4, -1, 0, 20141 Let -2*y**3/9 - 61724*y**2/9 - 493646*y/9 + 61708 = 0. Calculate y. -30854, -9, 1 Solve -d**3/4 + 317*d**2/4 - 25671*d/4 + 120555/4 = 0 for d. 5, 141, 171 Factor 4*p**2/5 - 1372*p/5 - 75072/5. 4*(p - 391)*(p + 48)/5 Factor -2*q**2 + 4426*q. -2*q*(q - 2213) Find z, given that -3*z**2 + 78816*z - 517663488 = 0. 13136 Factor 5*l**2 + 702875*l - 1405770. 5*(l - 2)*(l + 140577) Factor s**3/6 - 1069*s**2/3 + 8539*s/6 - 1067. (s - 2134)*(s - 3)*(s - 1)/6 Factor f**2 + 12990*f + 42185025. (f + 6495)**2 Let -4*l**3 - 189388*l**2 + 378788*l - 189396 = 0. What is l? -47349, 1 Factor 2*s**3/13 + 1324*s**2/13 - 9354*s/13 + 8028/13. 2*(s - 6)*(s - 1)*(s + 669)/13 Factor 3*a**2 - 89916*a - 89919. 3*(a - 29973)*(a + 1) Find a such that 4*a**4/9 - 4*a**3/9 - 16*a**2/9 + 16*a/9 = 0. -2, 0, 1, 2 Determine g, given that 30*g**5 - 231*g**4 + 477*g**3 - 381*g**2 + 105*g = 0. 0, 7/10, 1, 5 Factor -5*w**2/3 - 4421*w/3 - 884/3. -(w + 884)*(5*w + 1)/3 Factor u**5/4 - 167*u**4 + 333*u**3. u**3*(u - 666)*(u - 2)/4 Factor 2*c**3 + 2320*c**2 + 737000*c + 36300000. 2*(c + 60)*(c + 550)**2 Suppose 3*o**5 - 3093*o**4 + 760389*o**3 + 19239189*o**2 - 19996488*o = 0. Calculate o. -24, 0, 1, 527 Determine y so that 2*y**5/19 + 2*y**4 + 44*y**3/19 - 444*y**2/19 - 558*y/19 + 918/19 = 0. -17, -3, 1, 3 Find l, given that -l**2/4 + 813*l - 1625 = 0. 2, 3250 Factor 3*a**2/4 + 20385*a/4 + 35637. 3*(a + 7)*(a + 6788)/4 Let 5*f**3 - 13910*f**2 - 252000*f = 0. Calculate f. -18, 0, 2800 Factor -z**3/3 - 4067*z**2/3 - 4064*z/3 + 8132/3. -(z - 1)*(z + 2)*(z + 4066)/3 Factor -2*f**3/11 - 504*f**2/11 - 31752*f/11. -2*f*(f + 126)**2/11 Find p, given that -p**5/2 - 285*p**4 + 10373*p**3 - 128744*p**2 + 1241823*p/2 - 805255 = 0. -605, 2, 11 Find j such that -j**3 - 125*j**2 + 5182*j - 5056 = 0. -158, 1, 32 Factor
{ "pile_set_name": "DM Mathematics" }
j(7). 2, 3, 13, 71 Let k(r) = 4*r + 12. Let j be k(-3). Suppose -2*b - 14 - 160 = j. Let c = -39 - b. List the prime factors of c. 2, 3 Let b = 964 - -260. Let t = b - 598. What are the prime factors of t? 2, 313 Let j be (70/14)/((-2)/(-2)). Suppose 2*x - 2*w = 16, -2*x - j*w - 13 = -64. Let q = x - 6. List the prime factors of q. 7 Suppose -135*h + 4*q = -134*h - 2545, -4*q = 4*h - 10180. List the prime factors of h. 5, 509 Let u(c) = -c**3 + 6*c**2 - 70*c + 488. Let l be u(7). Let n = -3 - 9. Let o = n - l. What are the prime factors of o? 3, 13 Let f = 66 - 56. Let q(k) = -642*k - 2. Let y be q(-1). Suppose -y + 120 = -f*x. What are the prime factors of x? 2, 13 Suppose -8*b - 7*b = -9*b - 71094. What are the prime factors of b? 17, 41 Let h(o) = -79*o + 344. List the prime factors of h(-14). 2, 5, 29 Let c be (-6 - 57/(-12))/((-1)/212). Let l = c + -248. What are the prime factors of l? 17 Let q(i) = -4*i - 94. Let r be q(-36). Suppose -44*j + r*j - 1356 = 0. What are the prime factors of j? 2, 113 Suppose -a + 4 = 0, 2*b - 3*b + 2*a - 4 = 0. Let k be (-18)/4*b/(-6). Suppose -k*d + 2*u + 518 = 212, 115 = d - 5*u. What are the prime factors of d? 2, 5 Suppose 0 = -5*s - 449 - 581. Let t = -82 - s. List the prime factors of t. 2, 31 Suppose 0 = 2*l + 5*s - 84836, 3*s + 61276 = 5*l - 150783. What are the prime factors of l? 7, 73, 83 Let w = -590 + 1179. Suppose 592*m - 1752 = w*m. What are the prime factors of m? 2, 73 Suppose -4*b - 2*a = 8464, 0 = -0*b - 2*b - 2*a - 4228. What are the prime factors of (-17 - -15)/((-3)/(b/(-4)))? 353 Suppose 59*r - 1015881 = -96*r - 136*r. List the prime factors of r. 3491 Let m(g) = 7*g**2 - 68*g. What are the prime factors of m(-17)? 11, 17 Suppose 3*b - x = 697, 3*b - 3*x - 687 = -0*x. Suppose -10*a + b = -a. What are the prime factors of a? 2, 13 Let r = -25631 - -31801. What are the prime factors of r? 2, 5, 617 Let l(a) = 4*a + 6*a**2 - 15*a**2 + 10*a**2 - 6 - 10*a**3. List the prime factors of l(-3). 3, 29 Suppose 4*g = 2*y - 62016, -4417 + 159489 = 5*y - 2*g. List the prime factors of y. 2, 3877 Let h = 1742 - -13983. What are the prime factors of h? 5, 17, 37 Suppose 0 = -15*d + 89109 + 92601. What are the prime factors of d? 2, 3, 673 What are the prime factors of 1*(3 + 14 + 3302)? 3319 Let s(p) = p**2 - 6*p - 4. Let v be s(7). Let o(h) = -6*h + 5*h + 5*h**2 - 5*h + h**v. What are the prime factors of o(-5)? 2, 3, 5 Let j(t) = 4*t**2 + 2*t + 5. Let h be j(-2). Suppose -3*a = -14 + h. What are the prime factors of 32/3*(a - -4)? 2 Suppose -5*w + 10 = -2*x, -4 = -45*w + 43*w + 2*x. Suppose -w*t + 443 = 3*t + 4*l, -t - l + 88 = 0. List the prime factors of t. 7, 13 Suppose -144*a + 55363 = -117*a - 658031. List the prime factors of a. 2, 11, 1201 Suppose -5*z = 5*p + 30, z - 6*p = -3*p + 14. Let o(t) = 134*t**2 + 7*t + 7. List the prime factors of o(z). 2, 67 Let t(f) = 126*f**2 + 3*f - 4. Suppose -47*u + 56*u = 9. List the prime factors of t(u). 5 List the prime factors of (-12 - (-145)/10) + (-167068)/(-8). 2, 3, 59 Let t = 25 - 76. Let y = -163 - t. Let h = -61 - y. What are the prime factors of h? 3, 17 Let x = -99 - -103. Suppose 0*z - x*z + 487 = -a, a + 514 = -5*z. Let f = -248 - a. What are the prime factors of f? 251 Let m(k) = -50*k**3 + k**2 + 112*k + 805. List the prime factors of m(-7). 2, 3, 5, 7, 41 Let a(n) = -n**3 - 2. Let c(l) = -8*l**3 - 16*l**2 + 25*l - 2. Let m(g) = 6*a(g) - c(g). List the prime factors of m(-9). 53 Suppose -3*d = d - 3840. Let c be d/(-5)*(-5)/2. Suppose -5*g - 45 = -c. What are the prime factors of g? 3, 29 Suppose -6*z + 10*z = 8. Let i(b) = -3*b - 5 - 14*b**z + 18*b**3 - 1 + 13*b**3 - 26*b**3. List the prime factors of i(5). 2, 127 Let t = -12674 + 7556. What are the prime factors of t/4*116/(-87)? 2, 853 Let s(o) = -o + 11. Let y be s(6). Suppose -y*t - 3340 = -9*t. Suppose t + 325 = 10*u. What are the prime factors of u? 2, 29 Let w(u) = -66*u**3 + 16*u + 54. What are the prime factors of w(-4)? 2, 7, 43 Let z(h) = -271*h + 2606. What are the prime factors of z(9)? 167 Suppose -4*z = 5*c - 52, 2*c = 2*z + 3*c - 20. Let m(s) = 28*s**2 - 3*s - 34. Let r be m(z). What are the prime factors of 4/(-14) - r/(-42)? 41 Let s be (-2115)/(-2)*172/430. Suppose -114 = t + 99. Let g = s + t. List the prime factors of g. 2, 3, 5, 7 Let z = 521 + -521. Suppose -2*r + 4*c + 1196 = z, -4*c - 1080 - 710 = -3*r. What are the prime factors of r? 2, 3, 11 Let i = 156 - 159. Let k(l) = -4*l**3 - l**2 + 8*l + 10. List the prime factors of k(i). 5, 17 Suppose 0 = 3*a - 54 + 9. Let r(s) be the second derivative of 2*s**3/3 + s**2 + 17*s. List the prime factors of r(a). 2, 31 Suppose -169*g - 1122 = -172*g. Let l = g - -214. What are the prime factors of l? 2, 3, 7 Let r be (4/(-8))/((-2)/(-20)). List the prime factors of (r - 2*(3 + -4)) + 73. 2, 5, 7 What are the prime factors of (-504)/216 + (62240/6 - 0)? 3, 3457 Suppose -3 = u + 3*k, 0*u = -2*u - 2*k - 10. Let a(l) = l**3 + 4*l**2 - 5*l - 12. Let h be a(u). Let n = h + 65. List the prime factors of n. 11 Let p(w) be the second derivative of 7*w**4/12 - 17*w**3/6 + 9*w**2/2 - 2*w + 3. List the prime factors of p(-10). 3, 293 Suppose 0*u - 260 = 4*u. Let n be 13/u + 52/10. Suppose 2*s + g = 5*g + 78, 2*s + n*g = 96. List the prime factors of s. 43 Let r be 62*(-4)/32*68. Let y = -131 - r. Suppose -4*k + 143 = 3*j - 386, -2*j + y = 3*k. List the prime factors of k. 2, 5, 13 Let l be (-1)/(-4)*(2 + 172 + -2). Suppose l = y + x, 8 = -y - 4*x + 60. What are the prime factors of y? 2, 5 Let c = -70 - -73. Suppose -j = 3*z - 102 - 228, -435 = -4*z - c*j. Let s = 210 - z. List the prime factors of s. 3, 11 Suppose -115848 = 5*m - 23*m. What are the prime factors of m? 2, 1609 Let a = -13738 + 23946. List the prime factors of a. 2, 11, 29 Suppose 117 + 3 = -10*m. Let p(s) = s**3 - 23 + 16*s**2 + 7*s - s**2 - 2*s**2. List the prime factors of p(m). 37 Let n(j) = 668*j + 4. List the prime factors of n(19). 2, 3, 23 Let z = 249 - 253. What are the prime factors of -9 - (-5 - z) - -1484? 2, 3, 41 Suppose -19*r - 6 = -17*r. Let h(y) = -11*y + 6. Let l be h(r). Suppose j - l - 85 = 0. What are the prime factors of j? 2, 31 Suppose -5*q = 3*g - 16, 4*g = 4*q - 0*q - 32. Suppose 1029 + 456 = q*w. Suppose 3*b = -3*c + w, b + 123 - 34 = c. List the prime factors of c. 2, 47 Suppose 893508 = 16887*s - 16859*s. List the prime factors of s. 3, 11, 967 Suppose 28*n + 3042 = 22*n. Let h = n - -892. List the prime factors of h. 5, 7, 11 Let u = 3073 + 77649. What are the prime factors of u? 2, 40361 Let i = -3408 - -4215. What are the prime factors of i? 3, 269 Suppose 28*d - 33*d + 540 = 0. Let i = d - 103. Suppose -i*x = -2*p + 317, 3*p - 226 = 4*x + 246. List the prime factors of p. 2, 3, 13 Let k = 27103 - 26578. List the prime factors of k. 3, 5, 7 Let n(o) = 79*o + 29. Let s be n(8). Let q = s + 3. List the prime factors of q. 2, 83 Suppose 3*g - 2*z - 38 = -g, -15 = 5*z. Suppose -2744 = u - g*u. What are the prime factors of u? 2, 7 Suppose 52*l - 838298 = 964352 - 63354. List the prime factors of l. 2, 37, 113 Suppose p = 2*p - 1. Let f be p + 3 - (11 - -3). What are the prime factors of (-34 + (-4 - f))/(4/(-18))? 2, 3, 7 Suppose 2*i - 161 + 151 = 0. List the prime factors of -5 + 805/46*444/i. 1549 Let i(b) = 2*b**2 + 11*b - 25. Let d be i(-8). Let g(t) = t**3 - 8*t**2 + 5*t + 5. Let q be g(5). List the prime factors of (271/(-3))/(d/q). 271 Let n(x) = -460*x + 53. Let j be n(-10). Suppose 18*c - j = 3015. Let s = c - 232. What are the prime factors of s? 2, 97 Let x = 773 + -759. List the prime factors of (-4 - -6)*5131/x. 733 Let t(v) = -7*v + 73. Let p = 237 - 247. List the prime factors of t(p). 11, 13 Let x = 84 - 77. Suppose x*z - 8130 = 3490. List the prime factors of z. 2, 5, 83 Let g(f) = 5669*f - 1356. What are the prime factors of g(7)? 38327 Suppose -3*y - 5*g = -26, 0 = -3*y + 3*g - 6*g + 24. Let k(s) = 39*s - 6. Let a be k(y). Suppose -c = 2*c - 2*l - 403, l + a = 2*c. List the prime factors of c. 131 Suppose 32746 = -178*l + 185*l. List the prime factors of l. 2, 2339 What are the prime factors of (-514264)/(2 - -2)*4/(-8)? 64283 Let h(t) = -135*t + 158. Let x be h(-3). Suppose -2699 = -2*s - x. What are the prime factor
{ "pile_set_name": "DM Mathematics" }
lulklglb. Give prob of sequence ub. 1/72 Four letters picked without replacement from itnannnna. Give prob of sequence ntan. 5/378 Calculate prob of sequence eg when two letters picked without replacement from keegkeze. 1/14 Calculate prob of sequence tbb when three letters picked without replacement from ttbtbttt. 1/28 Two letters picked without replacement from xzzzzzzgdzgiddxzi. What is prob of sequence gx? 1/68 Calculate prob of sequence vyv when three letters picked without replacement from {y: 2, v: 11}. 5/39 Three letters picked without replacement from {x: 3}. Give prob of sequence xxx. 1 Two letters picked without replacement from uuuuueuuuupeueuuuuuu. What is prob of sequence up? 4/95 Three letters picked without replacement from ccqcqqcqqcqqcccc. Give prob of sequence qcq. 9/80 Two letters picked without replacement from pfofoaafpfpfaffpfpof. Give prob of sequence af. 27/380 Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxxxxxcxx. 10/13 Calculate prob of sequence ae when two letters picked without replacement from eakeaaeaaoaaaeae. 3/16 Three letters picked without replacement from {n: 2, i: 1, a: 1, h: 2, q: 2}. Give prob of sequence han. 1/84 What is prob of sequence xgz when three letters picked without replacement from xxaxzgggxgraxgagx? 3/340 Calculate prob of sequence yai when three letters picked without replacement from {a: 3, y: 2, i: 3}. 3/56 Two letters picked without replacement from {r: 7, f: 1}. Give prob of sequence rr. 3/4 Calculate prob of sequence jyl when three letters picked without replacement from ljuujyyuuolj. 1/110 Two letters picked without replacement from {m: 4, i: 1, e: 2, l: 1, u: 1, v: 3}. Give prob of sequence lm. 1/33 What is prob of sequence ss when two letters picked without replacement from wwwabbasbwsawws? 1/35 What is prob of sequence wij when three letters picked without replacement from jjoiwdwdwdddwwijjjd? 25/2907 Four letters picked without replacement from {k: 7, f: 1, g: 5}. What is prob of sequence fggg? 1/286 Calculate prob of sequence eem when three letters picked without replacement from {m: 4, e: 5, v: 5}. 10/273 Calculate prob of sequence sfyt when four letters picked without replacement from stfyy. 1/60 Four letters picked without replacement from {q: 4, t: 6, d: 3, u: 1, e: 2}. What is prob of sequence qqud? 3/3640 Calculate prob of sequence yn when two letters picked without replacement from {w: 2, y: 3, m: 3, n: 1, s: 1}. 1/30 Three letters picked without replacement from pgxaxhpfpfff. What is prob of sequence apx? 1/220 Calculate prob of sequence sddk when four letters picked without replacement from {d: 2, k: 1, s: 14}. 1/2040 What is prob of sequence ejje when four letters picked without replacement from enneeneejnnj? 1/297 What is prob of sequence cwp when three letters picked without replacement from {e: 2, c: 2, u: 1, p: 5, y: 2, w: 5}? 5/408 Three letters picked without replacement from ggiopopogrrqgi. Give prob of sequence gpi. 2/273 What is prob of sequence bbbb when four letters picked without replacement from {y: 2, b: 4}? 1/15 What is prob of sequence guuw when four letters picked without replacement from wgqquuqwwqqwqqiwiq? 1/7344 Calculate prob of sequence fda when three letters picked without replacement from aqqffasd. 1/84 Three letters picked without replacement from {l: 2, p: 2}. What is prob of sequence plp? 1/6 What is prob of sequence cc when two letters picked without replacement from {d: 2, m: 1, n: 1, l: 7, c: 5}? 1/12 What is prob of sequence zaal when four letters picked without replacement from azzzzlalrzrz? 1/495 What is prob of sequence ulr when three letters picked without replacement from {l: 2, x: 3, u: 1, j: 5, r: 1, y: 1}? 1/858 Three letters picked without replacement from zgzgzzgggzgzgggggg. Give prob of sequence gzz. 5/68 What is prob of sequence iu when two letters picked without replacement from uiui? 1/3 Three letters picked without replacement from mvoozvo. Give prob of sequence zvo. 1/35 Calculate prob of sequence aga when three letters picked without replacement from {a: 5, g: 5}. 5/36 Two letters picked without replacement from jmpdtpy. What is prob of sequence td? 1/42 Calculate prob of sequence kkk when three letters picked without replacement from {k: 6}. 1 Two letters picked without replacement from {v: 3, h: 7, c: 1, q: 3, t: 5}. Give prob of sequence ht. 35/342 Three letters picked without replacement from lsllss. Give prob of sequence lss. 3/20 What is prob of sequence pl when two letters picked without replacement from mlspp? 1/10 What is prob of sequence rr when two letters picked without replacement from {k: 5, r: 5}? 2/9 Calculate prob of sequence ba when two letters picked without replacement from bbabbbbbbbbba. 11/78 Three letters picked without replacement from {p: 5}. What is prob of sequence ppp? 1 What is prob of sequence pby when three letters picked without replacement from {y: 5, g: 8, w: 1, p: 2, b: 1}? 1/408 What is prob of sequence ysqy when four letters picked without replacement from {q: 4, s: 2, y: 2, u: 5}? 2/2145 What is prob of sequence pppg when four letters picked without replacement from {g: 2, p: 7}? 5/36 What is prob of sequence bbb when three letters picked without replacement from {f: 7, b: 4}? 4/165 What is prob of sequence nnn when three letters picked without replacement from eeeeeeeneneeeeenenee? 1/285 Three letters picked without replacement from hhhhmmm. What is prob of sequence hhm? 6/35 Four letters picked without replacement from tttqqqt. What is prob of sequence qqtt? 3/35 Three letters picked without replacement from {a: 4, s: 4, r: 9, q: 3}. What is prob of sequence srr? 4/95 Three letters picked without replacement from uuaisxxsausuuisuuxxo. Give prob of sequence sii. 1/855 Three letters picked without replacement from ozzcooooozzcocooooc. What is prob of sequence czo? 88/2907 Calculate prob of sequence lal when three letters picked without replacement from laalyyyylyyyyllyyyyy. 1/171 What is prob of sequence oiq when three letters picked without replacement from ionioouiooiqiiiiioi? 10/969 Four letters picked without replacement from {g: 1, b: 1, a: 5, o: 9}. Give prob of sequence ogoo. 3/260 What is prob of sequence df when two letters picked without replacement from {d: 2, f: 4, r: 1}? 4/21 Three letters picked without replacement from {x: 3, y: 3, u: 3, z: 4, o: 3}. What is prob of sequence zzo? 3/280 What is prob of sequence lll when three letters picked without replacement from {l: 5, a: 3}? 5/28 Calculate prob of sequence yr when two letters picked without replacement from yyzyrrzzzyyyzyzzry. 4/51 Three letters picked without replacement from snsfesososonoosnofns. What is prob of sequence nof? 2/285 What is prob of sequence pj when two letters picked without replacement from {p: 6, y: 3, j: 8}? 3/17 Calculate prob of sequence dkss when four letters picked without replacement from {q: 4, v: 4, w: 2, k: 2, d: 1, s: 2}. 1/8190 Two letters picked without replacement from vmzqvnzemzvmvvm. What is prob of sequence zv? 1/14 Four letters picked without replacement from blllkvlzbbbllb. What is prob of sequence bbvz? 5/6006 Calculate prob of sequence uu when two letters picked without replacement from {o: 3, s: 7, u: 3}. 1/26 Calculate prob of sequence hwp when three letters picked without replacement from pkhpppjwkp. 1/144 Four letters picked without replacement from pgkkbuk. What is prob of sequence kkuk? 1/140 Two letters picked without replacement from {w: 4, j: 2, t: 1, a: 1}. What is prob of sequence at? 1/56 What is prob of sequence iaa when three letters picked without replacement from hiiuaugaihma? 3/220 Three letters picked without replacement from uuusuunnnuins. What is prob of sequence uns? 4/143 What is prob of sequence ly when two letters picked without replacement from {r: 1, y: 1, l: 1, p: 2}? 1/20 Two letters picked without replacement from {f: 4, k: 1, o: 11, c: 1}. Give prob of sequence fc. 1/68 What is prob of sequence tooe when four letters picked without replacement from eerrrrtdrotevoerrvre? 1/5814 What is prob of sequence ql when two letters picked without replacement from aqhqlfb? 1/21 Two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
= -k - 354, 0 = -3*s + 4*k + 259. Is s prime? True Let g(k) = 15*k**2 + 10*k - 1. Let i(m) = -14*m**2 - 9*m + 1. Let a(q) = 5*g(q) + 6*i(q). Let l be a(-4). Is (-2)/(2/l)*1 prime? True Let c = 15 - -62. Is c prime? False Let h = 75 - 172. Let q = 11 - 9. Is (h/q)/((-6)/12) a composite number? False Let l be 14*(1 - -9 - 2). Suppose -2*s + l = 2*s. Let q = 63 - s. Is q a prime number? False Let p(r) = r**2 + 7*r + 2. Let b be p(-7). Let t(q) = b*q**2 + 10 - 5 - 3*q + q**3 + 6*q. Is t(4) a prime number? True Suppose -4*n - g = 23 - 335, -5*g = -3*n + 257. Is n a composite number? False Let v(u) = -u**2 + 11*u + 2. Let y be v(11). Suppose a + y*g - 219 = 0, 5*a + 4*g = 676 + 425. Is a a composite number? True Let j = -135 + 1483. Let v be 1/(-4) - j/(-16). Let u = -35 + v. Is u a prime number? False Let m = -113 - -584. Suppose 3*i - m - 408 = 0. Is i prime? True Let k(a) = -2*a + 1 + 4*a + 3*a. Let x = 32 + -26. Is k(x) a composite number? False Let p = 429 + -302. Is p a prime number? True Let d = 11 + -2. Let t be 0 + (4 - (-2 + 8)). Is 132/d + t/(-6) a prime number? False Suppose -3*o + 1536 = -150. Let h = -263 + o. Is h a prime number? False Let u(w) = -2299*w - 15. Is u(-2) composite? False Suppose 0 = 2*g - 5*a + 17, 3*a - 12 = 3. Let l(u) = -131*u. Let y be l(-1). Suppose -y - 101 = -g*r. Is r composite? True Let r(t) = -t**3 + t**2 - t + 1. Suppose 2*n = -0*n. Let l be r(n). Let o = 7 - l. Is o composite? True Let q(p) be the first derivative of p**4/4 - 3*p**3 + 2*p**2 - 10*p - 5. Is q(9) composite? True Suppose -f + 5*f = 3*z - 15251, f = -2*z + 10149. Is z prime? True Suppose 4*z - 32 = 3*g + g, 5*g = -4*z + 23. Suppose -6*m - z = -7*m. Is m a composite number? False Is 3 + 7*(-3 - -7) composite? False Suppose 0 = -5*p - 2 - 3, -1810 = 3*t + 4*p. Let m = t - -861. Is m a composite number? True Let t(w) = w**3 + 9*w**2 - w. Let v(n) = 2*n**3 + 19*n**2 - n - 1. Let x(r) = 5*t(r) - 2*v(r). Is x(-7) prime? True Let h(x) = -x**3 + 13*x**2 + 6*x + 4. Is h(9) prime? False Let z be (6/(-6))/((-2)/344). Let b = z + -114. Is b prime? False Suppose 5*z = 6*z - 44. Suppose 0 = -4*i + 5*i. Suppose -2*c = -i - z. Is c a composite number? True Suppose -3*r - 673 = -4*r. Is r a composite number? False Let g(w) be the second derivative of w**4/6 - w**3 - 3*w**2/2 - 3*w. Is g(-4) prime? True Suppose 5*s = 4*j + 3906, -3909 = -8*s + 3*s + j. Let h = s - 283. Is h composite? False Let y(g) = 10*g - 12 + 6 + 15. Is y(5) composite? False Suppose 4*n + 11693 = 3*x, -4*x - 5*n = 8995 - 24627. Is x composite? True Let w = 204 + 281. Is w composite? True Let b = 201 + -104. Is b a prime number? True Suppose 4*b - 221 = 55. Is b a composite number? True Let h be 190/30*(-1 + 19). Let k = -61 + h. Is k composite? False Let x = 144 - 251. Suppose -5*a - 386 = -46. Let f = a - x. Is f composite? True Let t be (-2)/(-4) - (-2)/(-4). Suppose t*m = -m + 2. Is (m + -5)/(-1 + 0) composite? False Suppose 23*h - 28027 - 976 = 0. Is h a prime number? False Let n(o) = 5*o**2 - 7*o - 1. Let u(p) = -6*p**2 + 2*p + 1. Suppose 0 = 3*m - 0*m + 3. Let l be u(m). Is n(l) composite? False Let a(b) = -6*b**2 - 8*b + 9. Let t(o) = -5*o**2 - 8*o + 8. Let l(v) = -4*a(v) + 5*t(v). Let n = -11 - -4. Is l(n) prime? True Suppose 4*n - 5*m - 72 = 0, m - 77 = -5*n + 4*m. Is n prime? True Let u = -5 - 0. Let r = u - -5. Let x(t) = -t + 19. Is x(r) composite? False Suppose 5*m - 1062 = 2533. Is m composite? False Suppose -4*n - 22 = 4*c - 6, -5*c = -4*n - 7. Is c*2 - (-4 + -116) a composite number? True Let f be (0 + -1)/((-2)/10). Suppose -2*a = -f*a + 15. Suppose -a*r = 2*u - 76, 2*u = 4*r - r - 36. Is r prime? False Is ((-7918)/6)/(-1) + (-8)/12 composite? False Suppose 3*f - q = 0, -4*f = -5*f + 3*q - 8. Is (-117)/(-36)*f*44 composite? True Let k(t) = t + 5 + 5*t**3 + 1 - 3*t**2 - 6*t**3. Let p be k(-5). Is p*(1 + -1 - -1) prime? False Let f(w) = -291*w + 1. Is f(-2) prime? False Let d(x) = -2*x - 1. Let z be d(-3). Suppose -n + 8 = -z. Is n a prime number? True Let l = 768 + -324. Suppose -7*v = -3*v - l. Is v a composite number? True Suppose -4*x + 2*u + 730 = 0, -4*x - 4*u = -7*u - 725. Is x composite? True Let r = 1 - -2. Suppose -191 = -4*o + r*o. Is o a composite number? False Let p(k) = 7 + 16*k + 0 - 2 - 3. Let c be p(-5). Is -1*(c - (-3 - -2)) prime? False Is 693/55 - 2/(-5) a composite number? False Let k be (-2 + 1)/(1/(-3)). Suppose -298 = h - k*h. Is h prime? True Suppose -17*l + 18*l = 3883. Is l prime? False Is 8*(-961)/(-10) - (-66)/330 composite? False Suppose 0 = 2*m - 4*m + 3*g + 12, -3*m + 5 = 2*g. Let t(y) = -y**2 - 2*y - y**m + 5 + 4*y - 4. Is t(-5) composite? True Let m = -9017 + 13402. Is m a prime number? False Let u be 16/(-10)*5/(-2). Suppose r - 3*k = -r - 9, k - 3 = -u*r. Is 83*((r - -2) + -1) prime? True Suppose 3*x - 15 - 6 = 4*c, 2*c + 38 = 4*x. Let q = -2 + x. Is q a composite number? True Suppose 4*p = -5*u + 106 - 40, -5*u - 5*p + 70 = 0. Let h = u - 8. Suppose 7 + h = -3*l, 4*l - 284 = -4*q. Is q composite? True Let j = -1539 + 3053. Suppose 5*z - 581 = -5*y + j, 4*z - 1676 = 4*y. Is z composite? False Is (1 - -94) + -3 + -3 a prime number? True Let z(j) = -32*j + 1. Let t be z(1). Let g = 0 - t. Let o = -10 + g. Is o a prime number? False Let s(k) = -3*k + 4. Let u(m) = m**2 + 7*m + 1. Let o be u(-6). Is s(o) a composite number? False Let s(w) = 25*w + 1. Suppose 0 = -4*k + 6*k - 5*h + 14, -3*h = -2*k - 6. Let t be s(k). Suppose -2*p + t = -58. Is p composite? False Suppose 2*k = -0*p - 2*p + 6, 11 = 3*p + k. Suppose -77 = -3*v + s, -99 = -3*v + p*s - 16. Is v composite? True Let f(c) = -c - 2. Let g be f(0). Let p(h) = -16*h**3 - 2*h**2 - 2. Is p(g) a prime number? False Let d = -11189 + 15940. Is d prime? True Let g = 438 + -293. Is g a composite number? True Let v(p) = 361*p - 2. Is v(1) prime? True Suppose -3*p + 15 = 2*p - z, -5*z = -2*p + 6. Is (p - 1)/1 - -119 composite? True Suppose 6*i - i - 20 = 0. Suppose 2*b = i*b - 110. Is b composite? True Let q = -8 - -11. Suppose -q*f + 15 = -0*f. Suppose w + 479 = 4*v - 2*w, -f*v + 2*w = -597. Is v a composite number? True Let h(r) = 4*r**2 - 6*r - 39. Is h(-16) a composite number? True Suppose 10*j + 24580 = 30*j. Is j composite? False Let w(o) be the first derivative of -o**3/3 - o - 1. Let f be w(-1). Is (f/(-1))/(2/53) composite? False Let o = -7 + 5. Is o - 1 - 58/(-1) a composite number? True Let h = -8 - -6. Is 2 - h/(-2) - -76 a prime number? False Suppose z - 3*x - 151 = 0, -3*z - 255 = -x - 684. Is z composite? True Is (-76)/18*-177 - 12/9 a composite number? True Suppose i + 11690 = 11*i. Is i a composite number? True Suppose 20 = -5*z, -3*z - 38 = -2*m - 7*z. Suppose -n + m = -b, 4 + 15 = 2*n + 5*b. Is n prime? False Let y(q) = -10*q + 3. Let c be y(9). Let r = c - -152. Is r composite? True Let b be (14/70)/(1/1115). Let a(g) = 2*g - 9. Let h be a(6). Suppose v - b = -4*n, 0 = v - h*n - n - 199. Is v a composite number? False Let k = -7 - -11. Let l be 56/10 + k/10. Suppose 4*q - l*q = 3*g - 260, q - 133 = -3*g. Is q composite? False Is (-44)/((-10)/(4 - -1)) a prime number? False Let v(x) = -5*x + x**2 - 8 + 5*x + 5*x. Let s be v(6). Suppose 0*n + 2*a = -4*n + 202, a + s = n. Is n a prime number? True Let q = -1518 - -3463. Suppose 5*z - 4866 = -h, -3*z = -z - h - q. Is z prime? False Suppose -5*j = 5*q + 40, -4 - 4 = 3*q - j. Let a be (66/q - -2)*2. Let d = a + 156. Is d a prime number? True Let r(j) = 2*j**2 - 14*j + 3. Is r(14) a prime number? True Let x(k) = 8*k + 3. Let c be x(4). Suppose -3*q = -58 - c. Is q composite? False Let v(x) = -118*x - 1. Let a be v(4). Let p = a + 946. Is p composite? True Let o be 5/2 - 1/2. Suppose -2*f = -5*q + 389, 3*q - 304 = -q - o*f. Is q a composite number? True Let m(x) = 167*x - 2. Is m(11) composite? True Let h(c) = c + 111. Is h(0) prime? False Let g be (-75)/10*(-166)/3. Suppose -3*s + 68 = -g. Is s a composite number? True Let z(g) = g**2 + 11*g + 11. Is z(-20) composite? False Suppose 0 = 4*j - 6*j + 262. Is j a prime number? True Let s be (186/9)/(4/6). Suppose -2*t + s = -67. Is t prime? False Let z(r) = r**3 + 7*r**2 + 6*r + 5. Let h be z(-6). Suppose -2*y - h = -s, 0*s + s + 1 = -y. Is (s + (-9)/6)*-28 prime? False Let w = 1062 + -
{ "pile_set_name": "DM Mathematics" }
165 What is the remainder when 3458 is divided by 572? 26 What is the remainder when 31486 is divided by 2621? 34 What is the remainder when 31308 is divided by 64? 12 Calculate the remainder when 42349 is divided by 1176. 13 Calculate the remainder when 26133 is divided by 38. 27 Calculate the remainder when 8426 is divided by 4213. 0 Calculate the remainder when 16309 is divided by 216. 109 What is the remainder when 1609250 is divided by 34? 30 What is the remainder when 92985 is divided by 949? 932 What is the remainder when 301864 is divided by 149? 139 Calculate the remainder when 19333 is divided by 6441. 10 What is the remainder when 60074 is divided by 57? 53 What is the remainder when 519 is divided by 72? 15 Calculate the remainder when 2607 is divided by 109. 100 What is the remainder when 450842 is divided by 67? 66 What is the remainder when 8340 is divided by 286? 46 Calculate the remainder when 1258 is divided by 31. 18 What is the remainder when 4509 is divided by 4501? 8 What is the remainder when 599094 is divided by 17? 14 What is the remainder when 6825 is divided by 3374? 77 What is the remainder when 6958 is divided by 149? 104 Calculate the remainder when 804 is divided by 255. 39 What is the remainder when 125278 is divided by 270? 268 What is the remainder when 294993 is divided by 14? 13 What is the remainder when 2068 is divided by 1011? 46 Calculate the remainder when 38743 is divided by 732. 679 What is the remainder when 5587 is divided by 2582? 423 What is the remainder when 3928809 is divided by 23? 18 Calculate the remainder when 4574 is divided by 82. 64 What is the remainder when 5843 is divided by 302? 105 What is the remainder when 16153 is divided by 7972? 209 What is the remainder when 18157 is divided by 92? 33 What is the remainder when 22508 is divided by 433? 425 Calculate the remainder when 11018 is divided by 47. 20 What is the remainder when 3926 is divided by 8? 6 What is the remainder when 131706 is divided by 87? 75 What is the remainder when 134483 is divided by 9? 5 What is the remainder when 112480 is divided by 6? 4 What is the remainder when 9329 is divided by 223? 186 Calculate the remainder when 2579130 is divided by 1414. 1408 What is the remainder when 21821 is divided by 204? 197 Calculate the remainder when 9083 is divided by 1814. 13 Calculate the remainder when 11818 is divided by 11201. 617 Calculate the remainder when 297833 is divided by 3. 2 Calculate the remainder when 10943 is divided by 2187. 8 Calculate the remainder when 41650 is divided by 508. 502 What is the remainder when 22618 is divided by 410? 68 Calculate the remainder when 19916 is divided by 77. 50 What is the remainder when 12192 is divided by 1006? 120 What is the remainder when 1476 is divided by 51? 48 Calculate the remainder when 355374 is divided by 152. 150 What is the remainder when 457 is divided by 230? 227 What is the remainder when 13915 is divided by 348? 343 What is the remainder when 2017 is divided by 542? 391 Calculate the remainder when 245399 is divided by 1227. 1226 Calculate the remainder when 11566 is divided by 1307. 1110 What is the remainder when 72664 is divided by 55? 9 Calculate the remainder when 7236 is divided by 2244. 504 Calculate the remainder when 110104 is divided by 61. 60 What is the remainder when 4930719 is divided by 2141? 2137 Calculate the remainder when 1632 is divided by 259. 78 Calculate the remainder when 1007 is divided by 487. 33 What is the remainder when 378965 is divided by 522? 515 Calculate the remainder when 8625 is divided by 1436. 9 Calculate the remainder when 1240 is divided by 863. 377 What is the remainder when 117932 is divided by 1661? 1 What is the remainder when 3996 is divided by 978? 84 What is the remainder when 41287 is divided by 26? 25 Calculate the remainder when 2243222 is divided by 5. 2 What is the remainder when 2302 is divided by 766? 4 What is the remainder when 2100 is divided by 569? 393 Calculate the remainder when 20223 is divided by 134. 123 Calculate the remainder when 23029 is divided by 98. 97 Calculate the remainder when 35187 is divided by 46. 43 What is the remainder when 76248 is divided by 777? 102 Calculate the remainder when 1519 is divided by 1501. 18 Calculate the remainder when 3860 is divided by 553. 542 What is the remainder when 6968 is divided by 303? 302 What is the remainder when 133912 is divided by 55? 42 What is the remainder when 88399 is divided by 173? 169 What is the remainder when 5066 is divided by 2091? 884 Calculate the remainder when 94606 is divided by 577. 555 What is the remainder when 87869 is divided by 77? 12 What is the remainder when 17534 is divided by 16? 14 Calculate the remainder when 6656 is divided by 196. 188 What is the remainder when 31152 is divided by 2831? 11 What is the remainder when 2563 is divided by 112? 99 Calculate the remainder when 668 is divided by 348. 320 Calculate the remainder when 6468 is divided by 424. 108 Calculate the remainder when 696670 is divided by 59. 57 Calculate the remainder when 254277 is divided by 978. 975 Calculate the remainder when 739154 is divided by 107. 105 Calculate the remainder when 25111 is divided by 66. 31 Calculate the remainder when 1530 is divided by 310. 290 Calculate the remainder when 335591 is divided by 3570. 11 Calculate the remainder when 164861 is divided by 6594. 11 Calculate the remainder when 72065 is divided by 1221. 26 What is the remainder when 2705711 is divided by 38? 35 What is the remainder when 1665 is divided by 545? 30 Calculate the remainder when 367839 is divided by 122574. 117 What is the remainder when 3525 is divided by 1041? 402 Calculate the remainder when 11166 is divided by 9. 6 What is the remainder when 2485 is divided by 254? 199 Calculate the remainder when 31724 is divided by 373. 19 What is the remainder when 548994 is divided by 78427? 5 What is the remainder when 22381 is divided by 61? 55 What is the remainder when 388217 is divided by 25? 17 Calculate the remainder when 79818 is divided by 849. 12 Calculate the remainder when 91360 is divided by 22839. 4 What is the remainder when 1981 is divided by 306? 145 What is the remainder when 3875 is divided by 298? 1 Calculate the remainder when 35167 is divided by 496. 447 What is the remainder when 31502 is divided by 6267? 167 What is the remainder when 18126 is divided by 159? 0 Calculate the remainder when 24125 is divided by 59. 53 Calculate the remainder when 42493 is divided by 21237. 19 Calculate the remainder when 21759 is divided by 397. 321 What is the remainder when 343895 is divided by 95? 90 Calculate the remainder when 33929 is divided by 29. 28 Calculate the remainder when 325939 is divided by 119. 117 What is the remainder when 21860 is divided by 70? 20 Calculate the remainder when 75706 is divided by 335. 331 What is the remainder when 25 is divided by 11? 3 Calculate the remainder when 18341 is divided by 28. 1 What is the remainder when 9156 is divided by 3039? 39 What is the remainder when 1307 is divided by 268? 235 Calculate the remainder when 78410 is divided by 126. 38 Calculate the remainder when 111393 is divided by 13916. 65 What is the remainder when 538271 is divided by 32? 31 Calculate the remainder when 113303 is divided by 313. 310 What is the remainder when 6085 is divided by 55? 35 What is the remainder when 115604 is divided by 1299? 1292 Calculate the remainder when 549 is divided by 13. 3 What is the remainder when 9130 is divided by 8002? 1128 Calculate the remainder when 2710041 is divided by 18. 15 What is the remainder when 4512 is divided by 1096? 128 Calculate the remainder when 3094 is divided by 777. 763 Calculate the remainder when 256803 is divided by 198. 195 Calculate the remainder when 2342002 is divided by 142. 138 Calculate the remainder when 22039 is divided by 1224. 7 What is the remainder when 17175 is divided by 14? 11 Calculate the remainder when 19597 is divided by 54. 49 What is the remainder when 2315935 is divided by 13? 11 What is the remainder when 37861 is divided by 90? 61 What is the remainder when 1417401 is divided by 169? 167 Calculate the remainder when 25408 is divided by 12
{ "pile_set_name": "DM Mathematics" }
i - 64. What is the greatest common factor of v and w? 20 Suppose 4*t = -m + 26887, 15*m - 12*m = -5*t + 80675. Calculate the highest common divisor of 11 and m. 11 Let c be (11/33)/((-2)/(-12)). Let r be -84*(9/(-12) + c/(-8)). Calculate the greatest common divisor of 63 and r. 21 Suppose -10*i + 3*i + 49 = 0. Suppose i*t = 411 - 145. Let y = t + -29. What is the highest common factor of 81 and y? 9 Suppose 23*n = 13*n - 1190. Let d = -112 - n. What is the highest common divisor of 56 and d? 7 Let n(f) = -f**2 + 15*f - 9. Let l be n(0). Let c(u) = -17*u - 102. Let j be c(l). What is the highest common factor of 136 and j? 17 Suppose s + 3*x - 134 = 81, -4*s + 905 = -3*x. What is the highest common divisor of s and 161? 7 Let o(d) = 4*d**3 - 24*d**2 + 37*d - 24. Let n be o(5). What is the highest common factor of 8 and n? 1 Suppose -4*j + 80 = -160. Let l be -1 + 2 + (6 - 11) + 11. Suppose l*y + 19 - 103 = 0. What is the highest common divisor of j and y? 12 Suppose -16*n + 20*n = 16. Suppose n*u + 8 = 328. What is the greatest common divisor of 5 and u? 5 Let w = 45 - 46. Let l be w*(1 + 0) - -3. Suppose 4*v - 58 = -2*c, v - 27 = -l*c + c. What is the greatest common factor of 10 and c? 5 Let t = 57 - 45. Suppose 39*v - 32043 = 6801. What is the greatest common factor of v and t? 12 Let y(p) be the second derivative of -p**4/12 - 19*p**3/3 - 13*p**2 - 2*p + 39. Let b be y(-13). What is the highest common factor of b and 13? 13 Suppose 9*i - 4*o + 40 = 11*i, 2*i = -o + 34. Suppose i*u - 10907 - 469 = 0. Calculate the greatest common divisor of u and 18. 9 Let x(f) = 2*f**3 + 140*f**2 - 151*f - 33. Let i be x(-71). What is the greatest common divisor of 6 and i? 6 Suppose -4366*x + 342 = -4347*x. What is the highest common factor of 9216 and x? 18 Let v be -12 + (-2)/(18/(-5085)). Calculate the highest common factor of 237 and v. 79 Let o be 58 + 54 + -48 + 10/(-1) + 1. Calculate the highest common divisor of o and 1859. 11 Let g be (-19 - -7) + 6 + -2. Let o be 95*(8 - (-2 - g)). What is the greatest common divisor of o and 76? 38 Let x = 3742 - 3679. What is the greatest common divisor of 161 and x? 7 Let y(a) = 179*a**2 + 1. Let i be y(-1). Suppose -8*w - i = -13*w. Let c = w + -33. Calculate the highest common divisor of c and 6. 3 Let z be 13*8/(-10)*-5. Let n(w) = -w**3 - 10*w**2 - 4*w + 14. Let p be n(-10). Suppose -p*o = -47*o - 182. What is the greatest common factor of o and z? 26 Suppose 70*u - 103246 + 2005 = -21. What is the highest common divisor of 3 and u? 3 Let z = 2 + 14. Let q(j) = 1542*j - 15268. Let t be q(10). What is the highest common divisor of z and t? 8 Let w(u) = 187*u + 5248. Let m be w(-27). What is the highest common divisor of 14129 and m? 199 Let i(w) = -6*w + 64. Let t be i(10). Suppose 2*u - t*u + 2*o = -124, -242 = -4*u + o. Calculate the highest common divisor of u and 75. 15 Suppose -26 = -26*s - 0. Suppose o - 3 = 0, -4*k + s = 3*o - 8*o. What is the highest common factor of k and 428? 4 Let s = 4664 - 4276. Calculate the highest common factor of s and 97. 97 Let f be (120 - 131) + 753 + 0. Calculate the highest common divisor of 56 and f. 14 Suppose 140*h = 143*h - 9, 2*o - 17 = h. What is the highest common factor of 23110 and o? 10 Let q = 1678 + -1535. Let p(n) = -n**2 + 17*n - 8. Let l be p(15). Calculate the highest common divisor of l and q. 11 Suppose 0 = 2340*d - 2337*d - 42. Let g be (4 - -3) + 42/d. What is the greatest common divisor of 225 and g? 5 Suppose -2*j - j = n - 922, 5 = -j. Suppose n + 439 = 4*d - 4*y, 5*d + y - 1726 = 0. What is the greatest common factor of d and 15? 15 Suppose 51*d - 1234 + 214 = 0. What is the greatest common factor of 160 and d? 20 Let l be (8989/(-19) + 142/1349)/(-1). Calculate the highest common factor of l and 430. 43 Let w = -10164 - -10227. Suppose -2*v + 3 - 9 = 0, 0 = 2*k + 3*v - 117. Calculate the greatest common factor of k and w. 63 Suppose 4*b = 46 + 2. Let p be (-82232)/95 - (-1)/((-10)/4). Let m be p/(-8) - 4*(-6)/(-96). Calculate the highest common factor of m and b. 12 Let c be (86/20)/(10/180) + (-90)/(-150). What is the highest common divisor of 366 and c? 6 Let p = -2447 - -2702. What is the greatest common divisor of 345 and p? 15 Let x = 832 - -78. What is the greatest common factor of 45 and x? 5 Let z = -3956 + 4840. Calculate the highest common divisor of z and 156. 52 Let o be (-360)/162 - 2/(-9). Let v(f) = -28*f**3 - 3*f**2 + 2*f + 1. Let w be v(o). Calculate the greatest common factor of w and 22. 11 Let c(m) = -6*m + 58. Let g(y) = -2*y**2 + 59*y + 38. Let x be g(30). Let s be c(x). Suppose -93 + 13 = -4*k. What is the highest common factor of k and s? 10 Let f = -10727 - -10735. Calculate the greatest common divisor of f and 2916. 4 Let r(t) = t**3 - 11*t**2 - 17*t - 89. Let a be r(13). What is the greatest common divisor of a and 308? 28 Suppose -25*n + 96*n - 208 = -33*n. Suppose 4*j = 140 - 0. Let k = j + -17. What is the greatest common factor of k and n? 2 Let l = -425 + 362. Let r = 25 + -4. Let v = r - l. What is the highest common factor of 12 and v? 12 Suppose -x - x + 3*o + 55 = 0, 0 = -2*x - 2*o + 50. Let s(w) = 3*w**2 + 17*w - 2. Let p be s(-16). What is the highest common divisor of p and x? 26 Let q = 307 + -304. Suppose q*r - 130 = 17. What is the highest common divisor of 56 and r? 7 Suppose 2646 = -1774*j + 1816*j. Calculate the highest common factor of 63 and j. 63 Let s be (-34 - 6110/141)*243/(-2). What is the greatest common factor of 261 and s? 261 Suppose 0 = -2*w, 5*r = -5*w - 4 + 84. Suppose r*q = 6*q + 720. Calculate the highest common factor of 168 and q. 24 Let n(h) = h - 1. Let p = 37 + -43. Let c be (-27)/18*20/p. Let u be n(c). What is the greatest common factor of 44 and u? 4 Let n(g) = -608*g + 3652. Let x be n(6). Suppose -f - 26 = 2*a, 5*f + a + 2*a = -151. Let k = f - -60. Calculate the highest common factor of k and x. 4 Suppose 1 = -2*h - 3, -3*h = 3*o - 1194. Suppose -36 = 5*i - 171. Suppose -i*v + o = -22*v. Calculate the greatest common divisor of v and 20. 20 Let j = -347 + 359. Let t be (-4 - -34)*(-86)/(-5). Calculate the highest common factor of t and j. 12 Suppose -17*p + 16*p - 748 = -18*p. Let a(n) = -3*n**3 - 2*n**2 + 3*n + 6. Let b be a(-4). Calculate the greatest common divisor of b and p. 22 Let l be 12/3 + -1 + -2. Let a = l - -3. Let u be (27/2)/1 + 2/a. Calculate the greatest common factor of 28 and u. 14 Let y = -2346 + 3579. What is the highest common factor of y and 63? 9 Let u = -2555 - -2570. What is the highest common divisor of 2265 and u? 15 Suppose -s - 7*i + 2*i - 35 = 0, -98 = 2*s + 3*i. Let z be 154/10 + 22/s. What is the greatest common factor of z and 5? 5 Let n be (-4)/34 - (-15 + 2628825/(-255)). What is the greatest common factor of 116 and n? 116 Suppose 98*p - 114*p - 82*p = -11760. What is the greatest common factor of 1545 and p? 15 Let g(o) = -513*o - 177. Let v be g(-1). What is the highest common divisor of 66 and v? 6 Let w = -17 + 21. Suppose 12 + 0 = -q + 4*s, -5*q + w*s = -4. Suppose 126 = -q*i + 10*i. Calculate the greatest common factor of 7 and i. 7 Let w be (-2)/(-7) + (-272)/(-28). Suppose -10*r = -5*r - w. Suppose 3*z - 3*i - 242 = -r*i, -2*i - 4 = 0. What is the greatest common divisor of z and 10? 10 Let w = -5087 - -5115. Suppose 5*a + 200 = l, -2*l + 3*a + 82 = -332. What is the highest common divisor of w and l? 14 Let z(n) be the first derivative of 8*n**3/3 - n**2 - 9*n + 42. Let u be z(4). Let j = u + -67. Calculate the highest common divisor of j and 44. 44 Let s(t) = -3971*t - 82957. Let r be s(-21). Suppose -2*c + 219 - 717 = -4*o, -3*o + 376 = -4*c. What is the highest common divisor of r and o? 62 Let z be 3/12 + (-66)/(-24). Suppose -2*m + 84 = z*g + m, -g + 4 = -5*m. Let x be (0/3 + -1)/((-1)/g). What is the highest common divisor of x and 8? 8 Let s = 4 - -1. Suppose -5*w = -2*w + 2*m - 18, -s*w - 2*m = -26. Let d(l) = -92*l - 520. Let h be d(-6). Calculate the highest common factor of h and w. 4 Let c be 171 - (14/(-4) + (-3)/(-6)). Calculate the highest common divisor of c and 78. 6 Let c be ((-16)/5 - -2)*(-5)/1. Suppose r - 2*h - 24 = 0, -2*h + 4*h = -c. What is the highest common factor of r and 27? 9 Let u be (8/(-12))
{ "pile_set_name": "DM Mathematics" }
115/2 - r. Which is the closest to m? (a) -5 (b) 0.4 (c) 0.5 c Let v = 150.6 + -150.4. Let b be (-3)/(-5) + 12/(-120). What is the closest to 0.5 in v, 0.1, b? b Let d = 25 + -24. Let z = -8077 - -8066. Which is the nearest to -1/4? (a) -1/6 (b) z (c) d a Let p be 5/(-5)*(-126)/(-462). What is the closest to 0 in -4, p, -1? p Let s = 15.08 + -7.47. Let j = s - 7.21. Which is the nearest to 3? (a) 8 (b) 1 (c) j b Let q = -2.00964 - -0.00964. What is the nearest to -2 in 8, -0.2, -1/3, q? q Let j = -977/869 + 17/79. Let n = -53/22 - j. What is the closest to 0 in -1, n, 4? -1 Let m = -51 - -152/3. Let l = -9.7 + -2.3. Let o = -8 - l. Which is the closest to 1? (a) -5 (b) o (c) m c Let d = -2079.52 - -2082. Which is the closest to -1/2? (a) -5 (b) d (c) -3/2 c Suppose 5*d + h - 20 = 0, -5*d + 624*h - 627*h = -20. Let w be (7/(-49))/(1/(-2)). What is the closest to w in d, -5, -16/7? -16/7 Let g = -301 + 195. Let x = 106.07 + g. Let r = x + 2.93. Which is the nearest to 0? (a) r (b) 1/7 (c) -7 b Suppose 65*x + 55 = 70*x. Let y(t) = -t**3 + 2*t**2 + 99*t - 4. Let z be y(x). Which is the closest to 2? (a) z (b) -2/9 (c) 5/2 (d) -0.3 c Let l = -3.74 + -3.46. Let r = -7.3 - l. Let x be (-1)/(-1)*2/(-6). Which is the nearest to -2/7? (a) -2/15 (b) r (c) x c Let m(z) = 26*z**2 - 36*z - 12. Let y(q) = -6*q**2 + 9*q + 3. Let u(i) = 2*m(i) + 9*y(i). Let t be u(5). Which is the closest to -1? (a) 2 (b) t (c) 44 b Let f = 22 - 15. Let z(t) = -6*t**2 + 102*t + 3783. Let x be z(-18). Which is the nearest to f? (a) -4 (b) -5 (c) x c Suppose -3709*s = -3724*s. Which is the nearest to s? (a) 3/4 (b) -0.3 (c) -2 (d) 2/9 d Let t = -3.988 + -0.012. Let o = -16106/24141 + 4/8047. Which is the nearest to -5? (a) -1 (b) -0.12 (c) t (d) o c Let r = 5.38 + -392.38. Let d = r - -386.8. Which is the nearest to 1? (a) 4 (b) d (c) -5 b Let y = 7 + -12. Suppose 0 = 22*i + 37 + 7. Let n be (i/6)/((-1577)/498). What is the closest to -0.8 in y, n, -3/7? -3/7 Let g = -460.5 - -460.1. Which is the closest to -13? (a) 7 (b) g (c) 0.1 b Let k be ((-250)/35)/(1 - (-180)/(-25)). Let o = k + -18/31. Let w be ((-2)/(-3))/(2/4). Which is the nearest to -0.1? (a) o (b) w (c) -0.4 c Suppose -90*k - 3*i = -93*k + 3, k + 5*i = -23. What is the nearest to 7 in 1/2, 1/12, k? 1/2 Let w = -1/2036 - -4081/18324. Which is the closest to 0.95? (a) 4/5 (b) w (c) -3/4 a Let y = -0.1 + 8.1. Suppose 0 = 70*m - 68*m + 3*d + 4, -4*m = 5*d + 10. Which is the nearest to 2/5? (a) 1/3 (b) m (c) y a Let m = -71 + 69.7. Let f = m - -4.1. Let z = 3.8 - f. What is the nearest to -1 in 3, z, -1? -1 Suppose 0 = 14*b + 221 + 31. Let w(x) = 2*x + 34. Let z be w(b). What is the closest to z in 6, -3, 0.3, 2? -3 Let v = -5.95 + 6.25. Which is the nearest to 1? (a) v (b) 8 (c) -0.1 a Let k = 1036.8429 - 1037. Let z = 0.0571 + k. Let c = 0.2 - 4.2. What is the nearest to z in 1/7, -1, c? 1/7 Let s = -15204.5 - -15204. Which is the closest to 34? (a) s (b) -5 (c) -11 (d) 1 d Let r be (-1)/(-3) + (-10)/18. Let w = 0.15214 - 0.55214. Which is the nearest to 1/2? (a) 2 (b) w (c) -0.2 (d) r c Let g(f) = 54*f + 52. Let z be g(-1). Let t = 0.1 - 0.2. Let q = t + -1.9. Which is the nearest to z? (a) q (b) -3 (c) 2 a Let u = 2249 + -2246. Which is the closest to 2/9? (a) u (b) -0.4 (c) -5 (d) -30/11 b Let p = -0.01 - 0.03. Let f = p + -0.26. Let k = 236 - 236.02. What is the closest to k in f, -5, -1? f Let g be 2/18*-2*(8 + -11)*1. Which is the nearest to 1? (a) -2 (b) 0.4 (c) 2 (d) g d Let f = 0.026 - -2.974. Let r = -12.2 - 0.8. Let v = -13.1 - r. Which is the closest to f? (a) v (b) 2 (c) -2 b Suppose 4 = 4*w - 4*f - 20, w = -f - 4. Suppose -2*r + 3*r = w. Let v = 526/759 + -20/33. What is the nearest to 0.03 in v, r, 2/11? v Let v = -567 - -223. Let p = v + 343.8. Let g = -4.1 - -4. What is the closest to g in 1, p, -5? p Let z be (0 - 0) + 2/(-6). Let m = -75 - 168. Let l = -240 - m. What is the closest to -1 in 1/3, z, l? z Let k(o) = 4*o**2 - 43*o - 47. Let x be k(11). Let w be ((-3)/9)/(20/x). What is the closest to 1 in 0.4, -0.102, -1/5, w? w Let z = -1 - -1.03. Let i(r) = 118*r - 73. Let f be i(-2). Let o = f + 314. Which is the nearest to -1/2? (a) o (b) 1 (c) z c Let s be ((-2)/5)/(89/890*(-102)/(-3)). Let p = 0.2 - 0.4. Which is the nearest to p? (a) s (b) -5 (c) -0.3 a Let v = -12/97 - 58467/194. What is the nearest to 1 in -1, 1/3, v? 1/3 Let t = -1783991/3 + 594663. Let z = -0.06 - -2.06. Let q = -1 + z. What is the closest to t in q, 2, -9? q Let m = -3841 + 3839. What is the nearest to 2/3 in m, 2/43, 1/5, -0.3? 1/5 Suppose 0 = 4*g + 2*q - 5 - 47, 0 = -q - 4. Suppose 4*j + g = -j. Let i be (-6)/(-9) + (-2 - -2). Which is the nearest to 1? (a) j (b) i (c) -1/7 b Let u be (2/5)/(5/25). Let w = 524/27 + -2123/108. Which is the nearest to -40? (a) w (b) u (c) -4 c Suppose -4*m + 96 = t, -2*m = 6*t - 7*t - 54. Suppose -9*a + m*a = 0. Let f = 2 + -5. What is the closest to 1 in 0.5, a, f? 0.5 Let y be (-70)/(-455) - (1/(-13))/((-12)/(-340)). Which is the nearest to y? (a) -6 (b) 0.24 (c) -0.4 (d) -2/13 b Let n = -0.95 - -1.3045. Let l = 0.0545 - n. What is the nearest to 5 in l, 0.1, -2, -5? 0.1 Suppose 2*i + 12*a + 20 = 10*a, -3*i - 10 = -a. What is the closest to 44 in -0.2, -1, i? -0.2 Let d = -6867 + 6864. What is the closest to -3 in -189, d, -4? d Let t = -1.689 + 1.719. What is the closest to -13 in t, 2/19, 5, 0? 0 Suppose 0 = 3*r + h + 19 - 9, 0 = -4*r - 4*h - 24. Which is the closest to r? (a) 27 (b) -0.4 (c) -0.5 (d) 1 c Let z(l) = -6*l**2 + 31*l - 27. Let j be z(4). Which is the nearest to j? (a) 0.1 (b) -0.06 (c) -57 a Let d be (1 - 0)/1 - (-996)/(-1044). Let x = 194/435 - d. Let p = 3 + -3. What is the nearest to p in -5, x, 0? 0 Let f = 31516 - 31527. Let d be (4/(16/(-6)))/(-3). Which is the closest to d? (a) -1 (b) f (c) -4 a Let w = -4308 + 4305. Which is the nearest to -1/2? (a) w (b) 2056 (c) 1/6 c Let f = 1683/19 - 5011/57. Let q = -4.65 - -5. Let m = q - 0.05. Which is the closest to f? (a) m (b) -4 (c) 2 a Let d be (-2 + 3)*2/18. Let k be ((3/4)/(-61 + 64))/(-1). Which is the closest to -1/3? (a) k (b) -0.5 (c) d a Let r = -205.6 - -170. Let d = r + 32.6. What is the nearest to -0.2 in -4, d, -5? d Let g(q) = 3*q - 5. Let r = -23 + 22. Let i be g(r). Let n be 0 + (-2)/i + 30/(-56). Which is the closest to -1? (a) n (b) 2/3 (c) 2 a Let f = 19 - -4.7. Let z = f + -24.2. Which is the closest to -1/2? (a) z (b) -9 (c) 3 a Let u = -34265 + 34268. Let c = -0.1 - 0.1. What is the nearest to -0.1 in -4/3, u, c? c Let d = 2684/9 + -929/3. Let w = -35/3 - d. Let s = 919/413 - 165/59. What is the closest to 4 in -5, w, s? w Let t be (-215)/350 - (-9)/42. Let i = 439/4 - 109. Let f = -9 + 19/2. Which is the closest to t? (a) -2 (b) f (c) i b Let x be (71944/(-2070))/68 + (1 - 24/27). Let l = -0.7 + 0.2. What is the closest to x in 1/4, l, -0.1? l Let h = 0.22413 - 0.04413. What is the closest to h in -1/2, 1/8, 1/6? 1/6 Let j be -2 - -5 - (119/(-51) + 6). Let w = -17 + 21. Which is the nearest to -1? (a) w (b) 0.4 (c) j c Let y = 5 + -5.06. Let u = 0.15 - -0.05. Suppose 18 = 3*p + 3*n, 5*p - 3*n - 1 = -19. Which is the closest to u? (a) 2/3 (b) p (c) y b Let o = 38.93 + -39. Let y be (-2)/6 + 10/90. Which is the closest to -1? (a) 5/3 (b) o (c) y c Let k = -0.25077 - 0.04923. What is the nearest to 0 in -0.6, -1/2, -0.1, k? -0.1 Let g = 4996 - 4996.3. What is the nearest to 2 in g, 0, 0.08? 0.08 Let q = -2088 - -2083. Which is the nearest to -1? (a) q (b) -2/19 (c) 17 b Let h = 10006 - 9971. What is the closest to -0.2 in h, 0.5, 7, -2? 0.5 Let z = -45.275 + 34.275. What is the nearest to -110 in 0.3, 1/4, z, -2/7? z Let n(t) = t + 16. Let l be n(-18). Let q = -11018 + 88143/8. What is the closest to 0 in -0.1, l, 0.04, q? 0.04 Let b be (1944/(-540))/(16/10). Let n be (-39)/(-12) + -2 - 1. What is the closest to n in b, 0.2, -2? 0.2 Suppose 5*w + 11 + 14 = 0. Suppose -51*r = 45*r + 1294 - 142. What is the nearest to -0.2 in w, 0.5, r? 0.5 Let o = 2778 + -2777. Suppose 5*g = 2*k - 11, g + 4*g - 4 = -3*k. Let f = 71 - 281/4. Which is the nearest to 0.06? (a) g (b)
{ "pile_set_name": "DM Mathematics" }
-22414*a - 6212 for a. 39 Solve 321*y - 177012 = -158715 for y. 57 Solve -17604 = -52*x - 286*x - 314*x for x. 27 Solve -159*p - 356*p - 2088 = -341*p for p. -12 Solve -26*c + 5508 = -128*c for c. -54 Solve -1702 + 520 = 43*y - 752 for y. -10 Solve 1847*q - 3886 = 994*q + 920*q for q. -58 Solve 3900*t + 8004*t + 619008 = 0 for t. -52 Solve 43 - 716 - 3892 = 55*s for s. -83 Solve 168162 = -3719*w + 34278 for w. -36 Solve -321*n + 958*n - 1785 = -3059 for n. -2 Solve -3337*d - 4470 = 2760*d - 223962 for d. 36 Solve 6451 - 1894 = -715*c + 808*c for c. 49 Solve 0 = 59*n + 670*n - 50*n + 36666 for n. -54 Solve -974*n = 1072*n + 108438 for n. -53 Solve 137*c + 140315 - 139356 = 0 for c. -7 Solve -23*o = 9*o + 2698 - 1290 for o. -44 Solve -13492*f + 221622 + 169646 = 0 for f. 29 Solve 0*f + 6*f = 31*f + f + 1326 for f. -51 Solve 24*o + 9991 = 19643 - 10156 for o. -21 Solve 0 = -23799*d - 6758 - 56304 - 127330 for d. -8 Solve -7*o + o + 3*o = -12 + 93 for o. -27 Solve -37*s - 11216 + 4631 = -4425 - 4269 for s. 57 Solve 0 = 573*r - 3190 - 1967 for r. 9 Solve -288*q + 50324 + 37003 = 5580*q - 118053 for q. 35 Solve -473*a + 10056 + 350 = 0 for a. 22 Solve 780*z - 376*z + 11362*z - 352980 = 0 for z. 30 Solve -4032*c = -3359*c - 28266 for c. 42 Solve 593*g = -582*g + 729*g + 12934 for g. 29 Solve -53*a - 15914 = -126*a - 145*a for a. 73 Solve -28*d + 80*d = -10*d + 6941 - 989 for d. 96 Solve -3507*i - 24217 = -56944 - 30399 for i. 18 Solve -5*w - 312454 + 312239 = 0 for w. -43 Solve -163 - 8117 = 1035*v for v. -8 Solve 8685 = 478*j - 4699 for j. 28 Solve 0 = -125*a + 208 + 1335 + 957 for a. 20 Solve -10079*q - 16774*q + 10892*q - 1676026 = 7645*q for q. -71 Solve -440*t + 395*t = 431*t + 476 for t. -1 Solve 110*r - 53*r = 45*r - 492 for r. -41 Solve 40*w + 15*w - 3448 = 3*w + 2168 for w. 108 Solve 0 = -1757*j - 2590*j + 1114*j + 149145 - 13359 for j. 42 Solve 557*w + 685*w + 326*w + 111*w - 99061 = 0 for w. 59 Solve -492*u - 7201 + 8470 = -19395 for u. 42 Solve 75*o - 1969*o + 18940 = 0 for o. 10 Solve -35*x - 37 = -23*x - 22*x - 7 for x. 3 Solve -5653*b + 293355 = -3268*b for b. 123 Solve -4311*c - 100477 = -1540*c + 1407*c + 204517 for c. -73 Solve -212*g - 7548 = 53*g + 1462 for g. -34 Solve -30537 - 80304 - 15321 = 3144*y + 2742 for y. -41 Solve -12*w + 11354 = 11606 for w. -21 Solve 21*m - 57*m + 17*m + 13*m = -360 for m. 60 Solve 309*i - 2474 = 3931 - 1498 + 1273 for i. 20 Solve -6845*v - 292005 = -18205 for v. -40 Solve 67*x + 45 = 62*x for x. -9 Solve -1515*b + 139*b - 334*b + 17696 = -50704 for b. 40 Solve -52*a - 965 + 411 - 414 = 956 for a. -37 Solve 37375*m = 37579*m - 5916 for m. 29 Solve 46 - 1174 - 1305 = -65*m - 483 for m. 30 Solve 2792*j = -1324*j + 127596 for j. 31 Solve 145*c + 15*c + 6615 = -2025 for c. -54 Solve 962*w + 1930 = 3854 for w. 2 Solve 609*b + 8947 = -5746*b + 364827 for b. 56 Solve -141456 = -5782*v - 39859 + 175939 for v. 48 Solve 1216*z - 267*z = 201*z - 1765*z - 7539 for z. -3 Solve -2801433*x + 260 = -2801420*x for x. 20 Solve 5976*w - 3770*w = -55150 for w. -25 Solve 0 = 10775*g - 206192 - 429533 for g. 59 Solve 258*f - 1244*f = 207*f + 1434*f - 107707 for f. 41 Solve 20833 = -852*d + 435 - 5162 for d. -30 Solve -27976 - 87726 = 1411*g for g. -82 Solve -805*d + 668*d = 439*d + 810*d - 101178 for d. 73 Solve 38*v + 490 = -11*v + 2*v + 37*v for v. -49 Solve 98*f + 113*f - 828 = 188*f for f. 36 Solve -2856 = 292*s + 1820 - 1172 for s. -12 Solve 438*b = 681*b - 369*b - 756 for b. -6 Solve -265*y - 478*y + 32320 - 2600 = 0 for y. 40 Solve 594*j - 1023530 = -1026500 for j. -5 Solve -32*v + 69*v - 34650 = 211*v + 321*v for v. -70 Solve 3170 = 1724*n + 5130 + 15160 + 24256 for n. -24 Solve -61*a - 2798 = -907 for a. -31 Solve 400*d = -361*d - 28157 for d. -37 Solve 41*q - 32*q = -43376 + 42863 for q. -57 Solve 0 = 202*f + 67*f - 579 - 8298 for f. 33 Solve -17782 = -983*p + 2861 for p. 21 Solve 33*s - 80*s - 38*s - 1680 = 20*s for s. -16 Solve 0 = 4621*o - 2158*o + 140391 for o. -57 Solve 1635348 - 223148 = -15350*g for g. -92 Solve 19926*t + 17360 = 19306*t for t. -28 Solve -4157 = 55*w - 226*w + 3367 for w. 44 Solve 1136*t - 41696 = -167*t for t. 32 Solve 986 = -103*k + 697 + 3894 for k. 35 Solve 6605 - 14293 = 247*b + 76*b + 11369 for b. -59 Solve -852*p = -2427*p - 29925 for p. -19 Solve -258*l - 10406 = 466*l - 482*l for l. -43 Solve -762*b = -2245*b + 71184 for b. 48 Solve -35*w = -83106 + 82896 for w. 6 Solve 201*w - 57*w - 9163 = -43*w for w. 49 Solve -394*s = -1242*s + 4031 - 29471 for s. -30 Solve -53*h + 64*h = -281*h - 54*h + 15224 for h. 44 Solve 651*h + 787*h - 13153 - 2417 = -292*h for h. 9 Solve -1555 + 874 - 116 = 118*i + 265 for i. -9 Solve -27*v - 196 = -217*v - 4376 for v. -22 Solve -874*j - 849*j = -1829*j + 7208 for j. 68 Solve 1348*y = 4656*y - 66160 for y. 20 Solve 141*p - 43*p + 1483 + 432 = 249 for p. -17 Solve -1792*h = -1770*h + 352 for h. -16 Solve -39*v - 3064 = 34*v + 34*v + 1537 for v. -43 Solve 396 = -193*y + 75*y + 96*y for y. -18 Solve 29700 = -2606*l - 35450 for l. -25 Solve 0 = 104*m + 2649 - 850 - 1175 for m. -6 Solve -968*k - 2432*k + 675*k - 211067 = 121383 for k. -122 Solve 169*u - 338*u = -165*u - 116 for u. 29 Solve 1942*q = 963*q - 82236 for q. -84 Solve 309*w + 38665 - 47317 = 0 for w. 28 Solve 39*q + 92*q + 223*q = -14*q + 18768 for q. 51 Solve 0 = -31*g + 203*g - 7*g + 1485 for g. -9 Solve -2577 = 257*j - 6536 - 16087 for j. 78 Solve 8661*t - 8720*t - 649 = 0 for t. -11 Solve 36519 = 2755*y + 1964 - 37637 + 17092 for y. 20 Solve -26104*n + 26084*n = 20 for n. -1 Solve 0 = 31*t - 13 + 292 for t. -9 Solve 3575049 - 3465065 = 982*f for f. 112 Solve 467*y + 124*y = 17730 for y. 30 Solve 44289 + 61545 = 1103*m + 321*m - 39414 for m. 102 Solve 53*r - 117*r + 2997 = -27*r for r. 81 Solve -4631*p + 397972 = -7320*p for p. -148 Solve -135 + 5101 = -84*l + 1102 for l. -46 Solve -340*v + 1863 + 1306 + 47 = -139*v for v. 16 Solve -212 - 702 - 514 = -234*j - 258 for j. 5 Solve -301*r = -260*r - 331*r + 12470 for r. 43 Solve -205*c + 2395*c = 109500 for c. 50 Solve -37*a = 49*a + 47*a + 4057 - 333 for a. -28 Solve 98*z - 237361 + 248680 = -8587*z - 1022196 for z. -119 Solve 191*k - 17300 = -371*k + 735*k for k. -100 Solve 12*i + 379 - 1259 = -8*i - 0 for i. 44 Solve 113 = 76*d + 1177 for d. -14 Solve -444*k - 3141 = -1491*k for k. 3 Solve -28*m + 97240 = -1652*m - 807*m for m. -40 Solve -34095 + 9478 = -355*f + 22243 for f. 132 Solve 3480*g + 45090 = -34235 - 28447 + 20772 for g. -25 Solve -23538 = -417*r - 13947 for r. 23 Solve 606*t = 678*t - 792 for t. 11 Solve 0 = -7050*u + 1354*u + 133351 - 463719 for u. -58 Solve 2561*i = -1464*i - 2317*i - 2528*i + 1232930 for i. 139 Solve 223*l = 78*l - 4060 for l. -28 Solve 214*o - 8633 - 3958 = -232*o - 1887 for o. 24 Solve 379*d - 633*d - 812*d - 93896 = -32068 for d. -58 Solve -30*f - 506 - 118 = -17*f for f. -48 Solve 1088 = -40*y + 1103 - 1699 - 1716 for y. -85 Solve -558 = 11*u - 35*u - 17*u + 467 for u. 25 Solve -229*w = 45*w - 53*w + 5967 for w. -27 Solve -682*j = -216*j + 17242 for j. -37 Solve -2247*k - 52516 + 29028 - 52958 = 219*k for k. -31 Solve 802*r + 48652 + 16114 = 11032 for r. -67 Solve -6599*j + 31384 = -126992 for j. 24 Solve -2575*a - 99045 = 44509 - 7079 for a. -53 Solve -258*c = -709*c - 208*c - 1437*c - 67072 for c. -32 Solve -151*i - 2118 - 291 + 347 = 1562 for i. -24 Solve 928*f + 893*f - 4096 + 24127 = 0 for f. -11 Solve 4286*q = 302832 + 74336 for q. 88 Solve 82522 + 232573 = -3707*x for x. -85 Solve -1019*n - 60049 = 280*n - 166*n for n. -53 Solve 2743 = -3958*l + 432 + 406027 for l. 102 Solve -340*y - 545*y - 15338 = 40417 for y. -63 Solve -24816 = -475*s + 63*s - 116*s for s. 47 Solve -19928 = -1474*w + 708 for w. 14 Solve 267*l + 6216 = 7*l + 2056 for l. -16 Solve 148*v - 1219 + 4882 = 37*v for v. -33 Solve 530*d - 56*d = -199*d - 20190 for d. -30 Solve 609488 = 2105*r - 20777*r - 1276384 for r. -101 Solve -172*s = 35318207 - 35314423 for s. -22 Solve 319*q + 2035 = 3431 + 4984 for q. 20 Solve -3821 - 4563 - 1689 = 218*t + 173 for t. -47 Solve 86*d + 1736 = 28*d - 29*d + 31*d for d. -31 Solve 12316 - 34076 = 2037*i + 63794 for i. -42 Solve -107840 - 1672 = 936*o for o. -117 Solve -37620 = 5761*i - 4771*i for i. -38
{ "pile_set_name": "DM Mathematics" }
t is the value of (-5)/((-90)/(-8))*9/(-36)*3? 1/3 Evaluate (-60)/8*-1*(-44)/55. -6 What is the value of 294/(-98)*2*5/(-2)*-1? -15 What is the value of 3/(-68)*(-57)/((-5301)/124)? -1/17 ((-4)/(84/(-9)))/((-560)/(-2940)) 9/4 What is (((-2)/3)/(615/(-738)))/4? 1/5 What is ((-3)/(-8)*2)/(15/585*-13)? -9/4 Calculate (-216)/12*-3*(-4)/24. -9 What is the value of (-15)/((-195)/(-143))*-1? 11 Calculate ((-75)/110)/(54/(-1188)). 15 What is the value of (6/(-10)*-1)/((-8388)/27960)? -2 Calculate ((4/6)/((-52)/(-39)))/(6/36). 3 ((-12)/(-154))/(-18*18/(-891)) 3/14 What is 2/(-12)*(-102)/(-119)? -1/7 Calculate ((-31)/(-31)*(-5)/(-5))/(2/34). 17 Evaluate 2/6*((-750)/10)/5. -5 What is (-8)/((-9)/(-2)*(-440)/990)? 4 What is the value of 74/185*10/4? 1 Evaluate -3*7*2066/(-2066). 21 What is the value of ((-15)/25)/(12/(-20*9))? 9 Evaluate ((-175)/375)/(70/(-180))*5/2. 3 What is the value of (-66)/(-2)*(135/9)/45? 11 Evaluate ((-15)/(-2625)*-5)/(3*(-4)/(-42)). -1/10 ((-182)/91)/(-1*10) 1/5 What is the value of ((-78)/(-6))/(15*(-10)/(-50))? 13/3 Evaluate (-10)/(-4)*2430/(-405). -15 What is the value of 5/(-22)*2431/(-4420)? 1/8 What is (((-275)/110)/(10/(-24)))/((-3)/2)? -4 5/((-160)/896*-4) 7 What is 15/(-180)*16*(-1)/16? 1/12 Evaluate ((-300)/15)/(-160)*16/(-2). -1 Calculate (-168)/(-756)*18/(-4). -1 (-15)/((6/(-28))/((-36)/252)) -10 What is ((-1)/(-2))/((-106)/(-530))? 5/2 Evaluate 10/(-34)*12*(-8)/(-240). -2/17 What is the value of -2*(-9)/1200*-4*(-160)/(-120)? -2/25 Evaluate (-3668)/1572*18/77. -6/11 Calculate (-3)/3*3*90/150. -9/5 What is ((14/49)/(27/(-21)))/4? -1/18 What is ((-51)/(-9))/(102/306)? 17 8*((-2)/(-3))/(37/((-1221)/748)) -4/17 Calculate ((-30)/50)/(-1)*(-30)/189. -2/21 20/(-8)*(-28)/(-980)*63 -9/2 Evaluate ((-1185)/(-1185))/((-10)/24*(-2)/15). 18 48/(-360)*3*35/(-2) 7 Calculate (((-44)/(-11))/16)/((-49)/(-8)). 2/49 What is (81/36)/((6/(-8))/1)? -3 Calculate (-43)/((-3440)/(-30))*(-2)/(-9)*-3. 1/4 What is -1*5*-2*7872/(-3280)? -24 What is (-24)/(-20)*(-80)/8? -12 What is (((-56)/350)/(8/(-10)))/(16/(-5))? -1/16 Calculate 30/(-25)*(-30)/12. 3 Calculate (166/1909)/(7/(-21)). -6/23 Calculate 12/(-2)*38*(-17)/(-14212). -3/11 ((-170)/(-2040))/(3*4/(-32)) -2/9 Calculate ((-2150)/(-15))/(-43)*(-6)/60. 1/3 What is 5/(6780/(-16))*294/(-196)? 2/113 Calculate (6/(1/1))/((-4710)/628). -4/5 What is the value of (2/(-130)*12)/((-150)/375)? 6/13 4*(-138)/36*1*(-12)/(-8) -23 Calculate 50/(-35)*(-35)/(-20)*(-4)/40. 1/4 Evaluate ((-1)/2)/(2*(-2)/208*-2). -13 Calculate (3/(-5))/((-1032)/(-34400)). -20 What is ((-1)/(2/4))/1*100828/25207? -8 Calculate (-6)/(-40)*112/(-63). -4/15 ((-6)/(-42)*-2)/((-306)/119) 1/9 What is the value of ((-20)/14)/((-438)/(-511))? -5/3 Calculate (4*2/(-16))/((-6)/(-24*5)). -10 Calculate (1150/2875*(-15)/68)/(6/16). -4/17 What is (4/(-1))/((-1424)/(-3916))? -11 What is ((-36)/(-54))/(13/(-117))? -6 Calculate 28/100*5*-1. -7/5 (30/(70/7))/((-72)/(-624)) 26 What is the value of ((-686)/21)/14*-3? 7 Calculate ((-2)/4)/(-43*47/(-117218)). -29 Evaluate 940/705*(-10)/(-8). 5/3 Calculate (155/(-279))/(30/24). -4/9 What is the value of ((-5)/((-1020)/(-17)))/((546/16)/13)? -2/63 What is 93/465*(1/4)/((-1)/(-4))? 1/5 What is the value of (84/7)/4*17/(-918)*-9? 1/2 Calculate ((-2)/(-96)*84)/(2/1). 7/8 (-10)/(-12)*((-18)/(-10))/((-865)/(-173)) 3/10 Evaluate ((-10)/110)/((-1)/55). 5 What is the value of -31*(-44)/2046*(15*-1)/1? -10 ((-6)/(-32)*384/288)/(3/(-8)) -2/3 What is the value of ((-1521)/(-676)*(-16)/(-42))/((-3)/4)? -8/7 Calculate (-14)/7*34/17. -4 What is (3*(-13)/(-78))/((-130)/(-52))? 1/5 Calculate (-166)/83*2*33/12. -11 What is the value of (2343/2556)/(2/(-4))? -11/6 Evaluate (1/(-3))/(20/120). -2 What is the value of (7/((-84)/(-9)))/((-36)/(-32)*-1)? -2/3 Calculate (75/(-10500)*-84)/(33*2/20). 2/11 What is the value of 39/((-585)/60)*(15/3)/45? -4/9 15*25/(-750)*2 -1 (-1)/((1/2)/((-351)/1170)) 3/5 (184/552)/((-1)/33) -11 What is the value of -208*(-312)/(-768)*8/(-26)? 26 ((-4)/(-30))/(89/(-445))*(-117)/6 13 Evaluate (((-192)/6)/(-8)*3/(-6))/14. -1/7 Evaluate ((-5)/((-210)/108))/((-429)/2002). -12 Calculate (-12*6/84)/((-660)/(-616)). -4/5 ((-135)/(-135))/(11/2) 2/11 What is (1470/(-56))/(966/1104)? -30 What is the value of 1/(-18)*6*(-4)/64*4? 1/12 Calculate (-7)/(-1)*(-84)/980. -3/5 What is (1/24)/1*79/(4503/(-171))? -1/8 Calculate (24/120)/(1/(150/54)). 5/9 Evaluate (-54)/36*6*(-2)/30. 3/5 6*(-12)/(-54)*(-12)/4 -4 What is the value of ((-70)/15)/((6/54)/(1/3))? -14 What is the value of ((-72)/(-220))/(-6)*1*18/27? -2/55 (10/(-25))/((-8)/(-10)) -1/2 Evaluate (84/56)/(((-780)/(-32))/(-13)). -4/5 What is ((-25)/30)/((-35)/196)*(-3)/2? -7 What is the value of (15/(-6))/((-6)/(-12))? -5 Calculate ((-13)/(-650)*1*-6)/((-3)/5). 1/5 Calculate ((738/4797)/((-24)/26))/((-2)/(-3)). -1/4 What is (7/4)/((-1085)/(-496))? 4/5 What is the value of (4/7)/(((-7)/196)/(27/(-72)))? 6 Evaluate (1*6*(-36)/120)/(6/40). -12 Evaluate 19/(399/(-28))*(8*6)/4. -16 (70/140)/((-2)/56) -14 What is the value of 2/((-15)/((-2835)/(-14))*-9)? 3 Calculate ((-32)/84)/((-2580)/1505). 2/9 Evaluate -6*2/(-2)*966/13524. 3/7 Evaluate ((-42)/10)/((-288)/480). 7 What is 560/(-1400)*7/((-63)/(-10))? -4/9 (32/15)/((-11670)/9725) -16/9 What is (-316)/(-1106)*((-77)/24)/(-11)? 1/12 Evaluate ((-4)/(-6))/(710/(-213)). -1/5 Calculate ((-466)/(-3495))/(2*1/3). 1/5 What is the value of 65/234*6/5*(-18)/(-108)? 1/18 29770/(-916)*8/(-26) 10 Evaluate (210/(-378))/((-10)/24). 4/3 3/(-18)*(-78)/(-91) -1/7 What is the value of (4/20)/((-12)/(-1080)*18)? 1 What is ((-16)/(-24))/(((-4)/(-28))/(-1))*3? -14 What is 28*(-30)/(-140)*-3*(-2)/4? 9 Evaluate 5/(140/(-32))*(-9744)/20416. 6/11 What is ((-148)/(-4218))/(3*(-3)/((-18)/(-2)))? -2/57 Evaluate ((-15)/(-15)*14*1/(-2))/(-1). 7 Calculate 46/(-69)*33/2. -11 Evaluate (((-12)/7)/4)/(385/245). -3/11 (4/(-2))/(14/(-2))*70/25 4/5 What is the value of (20/6)/((-4750)/22800)? -16 Evaluate (2/(-4))/((70/56)/(44/8)). -11/5 Calculate ((27/(-6))/((-90)/150))/((-1)/(-2)). 15 What is the value of ((-1)/(8/(-12)))/((-4)/(-2))? 3/4 What is (150/20)/15*16? 8 What is (-8)/(-84)*(-25)/(9750/91)? -1/45 Calculate (-21)/(-7)*(-14)/(-42)*4. 4 ((-754)/(-91))/((-18)/28*(-76)/171) 29 What is ((-14)/(-10))/((-15)/75)? -7 Evaluate 0/(((-22)/(-132))/((-1)/6)). 0 Calculate 3/27*-3*(48/14)/(-4). 2/7 Calculate ((-12)/(-18))/((-209)/57). -2/11 What is the value of 144/(-180)*6/8? -3/5 8/(-24)*6*22/(-1364) 1/31 Evaluate ((-12)/16)/((-120)/(-224)). -7/5 What is the value of (5/(150/4))/(124/(-186))? -1/5 Evaluate (56/700)/((6/6)/(-5)). -2/5 What is 3*1*-19*66/(-209)? 18 What is the value of ((-4)/2)/(15*(-3)/135*-9)? -2/3 Evaluate (-11)/33*((-6)/(-9))/((-14)/315). 5 Calculate 12/64*180/(-54)*(-156)/30. 13/4 What is the value of (-1)/((-1)/2*(-156)/1950)? -25 Calculate (22/77)/((-6)/28)*126/(-728). 3/13 Evaluate -21*-14*(-19)/399. -14 Calculate (-4)/(-24)*27*-11*20/(-990). 1 (56*29/(-232))/(-28) 1/4 Calculate 2054/(-158)*2/2. -13 5*((-5075)/125)/7 -29 (2605/2084)/((-1)/(-8)) 10 Calculate (-8)/(-2)*702/(-780)*15/6. -9 Calculate ((-80)/(-384)*16)/2. 5/3 What is ((-53)/(-159))/(10/(-75))? -5/2 (((-144)/(-4))/720)/((-4)/10) -1/8 What is the value of ((-273)/(-585))/(1/5)? 7/3 -5*(-6)/285*18/36 1/19 What is the value of (-2)/42*-7*2*(-30)/55? -4/11 Evaluate 6/(396/(-11))*-2*6/(-1). -2 What is ((-612)/102)/(75/12*12/(-10))? 4/5 Evaluate (-8*3/6)/(((-4950)/(-15))/(-11)). 2/15 What is 7*(-10)/(40/2)? -7/2 Evaluate 27/54*(-4)/(18/9). -1 (-36)/(-189)*-9*7*(-8)/(-16) -6 What is the value of ((-64)/8)/(-8)*(-4)/208*-4? 1/13 What is 12/98*133/(-285)? -2/35 What is the value of (-456)/285*(-70)/8? 14 Calculate 0/((-12)/((-24)/(-4)))*-1. 0 What is the value of (((-40)/(-105))/((-20)/140))/((-7)/(-3))? -8/7 What is ((-7)/119)/((18/(-2))/(-18))? -2/17 What is the value of 1*(9/(-10))/(150/(-875))*-4? -21 Calculate (1*(-72)/32)/((-14)/(-168)). -27 What is the value of (-10*(2/16)/(14/(-84)))/(-9)? -5/6 What is (12/300*-5)/2? -1/10 What is the value of (176/72)/(-22)*15? -5/3 Evaluate 1/(-4)*-10*(208/(-26))/(-80). 1/4 What is the value of ((-6)/153)/((-350)/1575)? 3/17 What is ((-1998)/1036*14)/((-6)/(1*2))? 9 7/(-1)*580/1015 -4 What is (-1)/(-21)*-7*(-21)/(-28)? -1/4 Evaluate (((-
{ "pile_set_name": "DM Mathematics" }
ppose 44 = -4*p + 8*p. Suppose 4*i + p = 43. Let n = 10 + -2. What is the greatest common factor of i and n? 8 Let f(t) = -t**3 + 2*t**2 + 2*t + 2. Let y be (-15)/(-4) - 3/4. Let z be f(y). Let b be 3 - (1 - z/1). Calculate the highest common factor of 7 and b. 1 Let r = 3 - 0. Suppose 13 = r*j - 17. Suppose -5*s = -25, 30 = 5*m - s + 5*s. What is the highest common divisor of m and j? 2 Let a be (33/2 - 6)*(-20)/(-15). Calculate the greatest common divisor of 266 and a. 14 Let d(v) = v**3 + 11*v**2 - v - 5. Let z be 4/(-6)*99/6. Let x be d(z). Calculate the highest common factor of 3 and x. 3 Suppose -84 = -3*t - f, 2*f + 2*f = 3*t - 84. Calculate the highest common divisor of 35 and t. 7 Let t(i) = -i**3 - i**2 + 32*i + 20. Let a be t(0). Calculate the highest common factor of 2460 and a. 20 Suppose 4*c + 102 = 342. Let w = 94 - c. What is the highest common divisor of w and 272? 34 Let c = -3 - -4. Let b be (c/(-2)*0)/2. Suppose -2*i + 58 + 118 = b. Calculate the highest common divisor of 8 and i. 8 Let l = -422 + 854. What is the highest common factor of l and 135? 27 Let x = 65 + -60. Suppose 4*h - q = 153, 9*h = x*h + 2*q + 150. What is the greatest common divisor of h and 312? 39 Let o(p) = -p**3 + 24*p**2 - 22*p - 21. Let d be o(21). Calculate the greatest common factor of 12 and d. 12 Let k = 592 - 528. Calculate the greatest common factor of 64 and k. 64 Suppose -22*t + 3086 = -29078. Calculate the greatest common factor of t and 86. 86 Let n be 2 - (-2 + -30 - 2). Suppose -738 = -36*g - 5*g. Calculate the greatest common factor of n and g. 18 Suppose r - 20 = k, -r - 4*k = -4*r + 59. Let s(j) = -j**3 + 17*j**2 + 7*j - 35. Let v be s(17). Calculate the greatest common factor of r and v. 21 Let d(j) = j + 2. Let k be d(3). Let s(q) = q**2 - q**3 - 1 - 2*q + 5*q**2 - 4 + 0*q**2. Let b be s(k). Calculate the greatest common factor of 80 and b. 10 Let s = -19 - -24. Suppose 0 = 3*j + s*d - 515, -173 - 12 = -j + 5*d. Suppose 0 = 3*q, -6*k - 2*q = -k - j. Calculate the greatest common factor of k and 14. 7 Suppose 3*z = -3*x + 627, -z - 31*x = -28*x - 213. Calculate the highest common factor of z and 9. 9 Suppose 3*l + 4 - 19 = 0. Suppose -d + l*w + 606 = 0, -3*d + 5*w + 1808 = -0*d. Suppose -169 = 4*o - d. Calculate the highest common factor of 27 and o. 27 Suppose 17*b = 18*b - 51. Calculate the highest common divisor of b and 289. 17 Let u be (1 + 58/4)*2. Let c = 343 - 2. Calculate the highest common divisor of u and c. 31 Suppose u - 36 = -4*c + 4, 155 = 5*u + 5*c. Suppose y - 3 = -r - y, 0 = -5*r + 3*y + u. Let h = -2 + r. Calculate the highest common factor of h and 21. 3 Suppose 0 = -12*w + 215 + 73. Calculate the greatest common factor of w and 68. 4 Let s(r) be the second derivative of 13/2*r**2 - 5/6*r**4 - 7*r + 0 - 3/2*r**3 - 1/20*r**5. Let h be s(-9). Calculate the greatest common divisor of h and 39. 13 Let k(w) = -w**3 + 14*w**2 + 32*w + 4. Let s be k(16). Let f be 101/(-1 + 2) + s. Calculate the greatest common factor of 30 and f. 15 Let v be (-96)/(-10)*(-17)/(51/(-80)). Calculate the greatest common divisor of v and 16. 16 Let n(y) = y**3 + 4*y**2 - 6*y - 6. Let l be n(-4). Let r(z) = z + 53. Let f be r(-18). Let c = f - 26. Calculate the highest common divisor of l and c. 9 Suppose 2*b = 3*m + 68, 5*b + 9 = m + 205. Calculate the greatest common factor of 680 and b. 40 Suppose d + 4*x = 1632, -299*d + 1664 = -298*d - 4*x. What is the greatest common factor of 32 and d? 16 Let i be 3*(-1)/1 + 290. Suppose 51*f - 41*f = 410. What is the highest common divisor of f and i? 41 Suppose -3*f + 2*w = -86, -25 + 65 = f + 5*w. Suppose 0 = k + 5, 5*h = 5*k - 0 + f. Let j be 1*7*(1 - 0). Calculate the highest common divisor of j and h. 1 Let y = 1108 + -1059. What is the highest common divisor of 189 and y? 7 Let p be 1*6/21 + 1004/14. Suppose -15*d - p = -18*d. What is the highest common divisor of d and 36? 12 Let h(p) = 5*p**2 + 12*p - 7 - 3*p + 13. Let d be h(-2). What is the highest common divisor of d and 56? 8 Let r = 26 - 59. Let y be -2 + (-304)/(-3) - 22/r. What is the highest common divisor of 20 and y? 20 Suppose -5*n = 0, 0*j - 5*n - 34 = -2*j. Let c(o) = o**3 - 20*o**2 - 41*o + 19. Let u be c(22). What is the highest common divisor of j and u? 17 Let k(f) = 37*f + 832. Let s be k(-22). Suppose -5*m + 0 = -4*a + 2, 2*m - 4*a = -8. Calculate the highest common divisor of m and s. 2 Suppose -x = 4*t - 43, 4*x - 5*t + 1 = 152. What is the highest common divisor of x and 3? 3 Let n be -78*(3 - 20/6). Let d = -1 - n. Let u be 20/6 + (-18)/d. Calculate the highest common factor of u and 2. 2 Let k be (76/16 - -8)/((-3)/(-8)). Calculate the greatest common factor of 1326 and k. 34 Let r(v) = 14*v**3 + 2*v**2 - 2. Let m be r(1). Let o be 1*m + (-2 - -1). Calculate the highest common factor of o and 143. 13 Let y(l) = 3*l**2 - l + 26. Let t be y(5). What is the highest common factor of t and 3? 3 Let b be 1 + ((-15)/(-6))/(1/(-2)). Let i be (-189)/(-12) + -3 - 1/b. Calculate the highest common divisor of i and 117. 13 Suppose -3*r + 244 = 88. What is the greatest common factor of r and 26? 26 Suppose 16*v - 660 = 6*v. Let m(s) = -3*s. Let t be m(-2). What is the highest common factor of v and t? 6 Let s(d) = 1. Let n(o) = -o**2 + 9*o - 14. Let j(f) = n(f) + 4*s(f). Let z be j(5). Suppose -5*c + 27 = 2. Calculate the greatest common divisor of z and c. 5 Suppose 3*m - 2*u - 35 = 11, -5*m + 80 = -4*u. Suppose 5*l + 4 = 3*l. Let g be 3 - (l - -1 - 44). Calculate the highest common divisor of m and g. 12 Suppose 5*c + 14 = 59. Suppose 6*p + 9 = 75. Let v = p + c. Calculate the greatest common divisor of 160 and v. 20 Suppose 0 = -25*t - t + 4420. Let g be (-1)/(-1 - (-36)/40). Calculate the highest common divisor of g and t. 10 Suppose v - 2 - 1 = 0. Suppose -v*n - 177 - 40 = -2*u, -2*u - 3*n + 223 = 0. Let x(r) = 9*r - 26. Let g be x(4). Calculate the highest common factor of u and g. 10 Suppose -98*d - 374 = -109*d. Calculate the highest common divisor of d and 782. 34 Suppose 0*h + 4*h - 16 = 0. Suppose 0*x - h*x = -320. Suppose 595*p - 614*p = -380. Calculate the highest common divisor of x and p. 20 Let o(z) = z**2 + 3*z - 1. Let i be o(-5). Let t(m) = 3*m**2 - 6*m - 47. Let g be t(-9). Let u = -178 + g. Calculate the highest common factor of i and u. 9 Suppose 76*o + 430 = 81*o. Calculate the greatest common factor of o and 2. 2 Suppose -k + 5*x + 8 = 0, -3*k = -3*x - 0*x - 12. Suppose 3*r - 19 = 4*f, -5*r - f + 10 = 9. Calculate the greatest common factor of k and r. 1 Suppose -4*h = -5*t - 2191, -h - 3*t - t = -532. Calculate the greatest common divisor of 17 and h. 17 Let u be 19 + (41/13 - (-6)/(-39)). Calculate the greatest common divisor of 253 and u. 11 Let y(b) = -b**2 + 2*b - 4. Let p be y(-5). Let o = 35 + p. Let s = o + 16. Calculate the greatest common divisor of 8 and s. 4 Let t be (4/10)/(11/(-55)) + 218. What is the greatest common factor of t and 24? 24 Suppose 3*a = -2*i - 7, -i + 2*a = 7*a + 21. Let f(v) = 7*v**2 - 3*v + 20. Let s be f(i). What is the highest common divisor of 30 and s? 30 Suppose -3*r - 14 = -5*n - 0*n, -5*n - r + 22 = 0. Let s(z) = z**2 + 3*z - 8. Let f be s(n). What is the greatest common factor of 4 and f? 4 Let n(f) = -f**2 - 5*f + 7. Let t be n(-6). Suppose -3 = j + t. Let k be 57 + j + 3/3. What is the greatest common factor of k and 6? 6 Let b = -30 - -155. Suppose 4*i + 5*x - 116 = -1, 0 = -4*i - 3*x + 109. What is the highest common factor of i and b? 25 Let s(v) = -16*v**3 - 7*v**2 - 7*v + 13. Let y be s(-3). Calculate the greatest common divisor of y and 13. 13 Let p(s) = -4*s - 4. Let b be p(-2). Suppose -2*d = 3*a - 5, -2*a + b + 10 = -4*d. Suppose 0 = l - 31 + a. What is the greatest common divisor of 4 and l? 4 Let p(y) = -19*y - 13*y**3 + 42 - 15*y**3 + 29*y**3 - 17*y**2. Let q be p(18). Let c = 8 - 5. Calculate the greatest common divisor of c and q. 3 Let o(i) = -11*i + 27. Let g be o(-13). Suppose -5*f - g = -0*l - 4*l, 110 = -3*f + 4*l. Let p be 4 - 1*f/5. Calculate the greatest common factor of p and 4. 2 Let d(u) = 33*u - 1. Let j be d(1). Let s = -7 - 1. Let a = 12 + s. Calculate the highest common factor of j and a. 4 Let y(z) = 2*z**2 - z - 3. Let f be y(-3). L
{ "pile_set_name": "DM Mathematics" }
. -5 Solve 26*h = -42*h + 680 for h. 10 Solve -462*z + 502*z + 212 = -108 for z. -8 Solve -361 = 18*p - 16*p - 21*p for p. 19 Solve -832*d = -834*d - 28 for d. -14 Solve -1579 + 562 = -117*x + 1323 for x. 20 Solve -360 = 52*b + 48*b - 76*b for b. -15 Solve -7*h - 23 + 6 = 25 for h. -6 Solve -141*a + 425*a + 5396 = 0 for a. -19 Solve 16*u = 7*u + u for u. 0 Solve -3100 = -2492*m + 2337*m for m. 20 Solve -4*g - 5*g = 117 for g. -13 Solve -106*b - 2945 = 59*b - 10*b for b. -19 Solve 35*u = -1495 + 1040 for u. -13 Solve 2581*w = 346*w - 67050 for w. -30 Solve 421*b - 826*b = -416*b + 143 for b. 13 Solve -29*t + 663 = 199 for t. 16 Solve 6*w - 14*w - 5 = 3 for w. -1 Solve -146 - 2792 - 2081 = -239*b for b. 21 Solve -110 + 2549 = 271*h for h. 9 Solve 6*k = 31*k - 200 for k. 8 Solve -1835*i + 300 = -1810*i for i. 12 Solve 0 = -h + 8 - 18 for h. -10 Solve 20*i + 49 - 102 = -493 for i. -22 Solve 34*g + 65 = -24*g + 1225 for g. 20 Solve -742*s + 1422*s - 312 = 732*s for s. -6 Solve 0 = 25*o - 15*o - 8*o - 8 for o. 4 Solve -134*d - 142*d = -273*d - 12 for d. 4 Solve 252*y + 1121 + 867 = 110*y for y. -14 Solve 266*u + 260*u = 528*u + 56 for u. -28 Solve 0 = -3*f - 11*f - 6*f - 180 for f. -9 Solve 0 = 72*t + 109267 - 108907 for t. -5 Solve -8307 = -254*k - 687 for k. 30 Solve -66*s = -2485 + 2023 for s. 7 Solve -11367 = -709*q - 96*q - 458*q for q. 9 Solve 34*t - 30 = -36*t + 67*t for t. 10 Solve 4016 = 322*i + 6270 for i. -7 Solve 140*d = 269*d - 138*d - 72 for d. -8 Solve 819*a + 8784 = 270*a for a. -16 Solve 16*n = -49*n - 386 + 61 for n. -5 Solve 1327 = 265*p - 4768 for p. 23 Solve 711 = -241*g + 173*g - 377 for g. -16 Solve 479*g = 482*g - 21 for g. 7 Solve 579 = -73*f - 121 - 30 for f. -10 Solve -2035*p = -2039*p for p. 0 Solve 0 = -1528*l + 1491*l - 296 for l. -8 Solve 0 = -204*f + 103*f + 61*f + 840 for f. 21 Solve 860 - 29532 = 1024*m for m. -28 Solve 0 = -188*b - 18 - 1332 - 342 for b. -9 Solve 1757 + 1047 = -204*t + 968 for t. -9 Solve 604*f + 462 = 571*f for f. -14 Solve 26*p + 820 = 794 for p. -1 Solve 169*m + 3 = 171*m - 21 for m. 12 Solve 352*y + 21394 = -443*y - 5636 for y. -34 Solve 0 = -413*t - 19*t + 33 - 5217 for t. -12 Solve -2242 + 4468 = -378*y - 5334 for y. -20 Solve -461 - 243 = -134*y - 168 for y. 4 Solve 308 - 188 = 10*f for f. 12 Solve -43*d + 19 - 179 = -3*d for d. -4 Solve 420*o - 2453 = 81*o + 259 for o. 8 Solve 18680*l - 18687*l = -21 for l. 3 Solve 0 = -310*n - 2263 - 4247 for n. -21 Solve 139*c + 2569 = -228*c for c. -7 Solve -139*j - 2746 + 2 = 57*j for j. -14 Solve 2*i = 158*i + 82*i - 1904 for i. 8 Solve 19*i - 147 = -23 + 123 for i. 13 Solve -52749 + 51754 = -199*h for h. 5 Solve 16339*f - 390 = 16313*f for f. 15 Solve -693*m - 1470 = -763*m for m. 21 Solve -2*r + 38 = 17*r + 19 for r. 1 Solve -390 = -709*c + 365*c + 359*c for c. -26 Solve 453 = -234*j + 1227 + 630 for j. 6 Solve -404 + 116 = 14*j + 2*j for j. -18 Solve -12*p + 333 - 153 = 0 for p. 15 Solve -54*c = -150 + 69 - 135 for c. 4 Solve 37*q - 5*q + 288 + 0 = 0 for q. -9 Solve 22 = 6272*b - 6270*b for b. 11 Solve 286*p = 300*p - 238 for p. 17 Solve -1765*p + 75 = -1750*p for p. 5 Solve 1870 = -19*k - 122*k - 29*k for k. -11 Solve 198*g - 1230 = 342 + 12 for g. 8 Solve 71*c + 27*c + 1837 = -69*c for c. -11 Solve -123*n = 7*n + 1447 + 503 for n. -15 Solve 64*u + 2140 = 476 for u. -26 Solve 85*d - 59 = 120*d + 711 for d. -22 Solve 2203 = 487*w - 1392 - 4684 for w. 17 Solve -38 = -4*p + 23*p + 19 for p. -3 Solve 0 = -22*j + 215*j - 935 - 1767 for j. 14 Solve -96*z + 924 + 828 = -840 for z. 27 Solve -17*j = 256 - 307 for j. 3 Solve 6*d - 392 + 410 = 0 for d. -3 Solve -60*b - 1197 = 14*b - 11*b for b. -19 Solve 362*x - 291 = 459*x for x. -3 Solve -85*x = 130*x + 2580 for x. -12 Solve -6*n + 72 = -12*n + 12*n for n. 12 Solve 0 = -714*u + 731*u - 153 for u. 9 Solve 1621 - 742 = 77*k - 815 for k. 22 Solve -254 + 230 = 12*f for f. -2 Solve 0 = 2*i + 1948 - 1954 for i. 3 Solve 122*i + 236*i + 47 = -6397 for i. -18 Solve -11*t = 115 - 148 for t. 3 Solve -4725*t + 4709*t = -128 for t. 8 Solve -38*z - 12053 = -10837 for z. -32 Solve 204 - 1785 = 93*h for h. -17 Solve -151*c - 392 = -42*c + 1352 for c. -16 Solve 459*s - 334*s = -387*s + 10240 for s. 20 Solve -51*k + 33 = -112*k + 28*k for k. -1 Solve -27710*b + 27670*b = -80 for b. 2 Solve -6*b + 66*b - 192 = -4*b for b. 3 Solve 119 + 566 = -48*h + 185*h for h. 5 Solve -508*s = -473*s - 280 for s. 8 Solve 0 = 8*p + 131 - 99 for p. -4 Solve 59862 - 59242 = -31*k for k. -20 Solve -59*f + 16158 = 42*f + 15350 for f. 8 Solve 182 - 13 + 71 = 60*z for z. 4 Solve -110*u - 45*u - 806 - 1209 = 0 for u. -13 Solve -1026*j + 1085*j = -413 for j. -7 Solve 60 = -22*v - 89 - 5 for v. -7 Solve 469*r + 1275 - 1057 = 7253 for r. 15 Solve 1208 - 10723 = -624*a + 2965 for a. 20 Solve j - 22 + 32 = 0 for j. -10 Solve -619*o + 543*o = -684 for o. 9 Solve 25*w = -5 + 36 + 169 for w. 8 Solve 0 = -2340*q + 2231*q - 1417 for q. -13 Solve 54*m + 55 = 9*m - 305 for m. -8 Solve 38*a = -20*a - 87*a + 2320 for a. 16 Solve 1190*y - 31296 = -114*y for y. 24 Solve 0 = 7837*y - 7726*y for y. 0 Solve 0 = 6*s - 743 + 773 for s. -5 Solve -44*x - 165 = -274 - 331 for x. 10 Solve -28*y - 181 + 161 + 468 = 0 for y. 16 Solve -18*t = 977 - 1481 for t. 28 Solve 70 = -51*o - 71 - 267 for o. -8 Solve -7*i + 42 = 14*i + 189 for i. -7 Solve -498*m - 96 = -474*m for m. -4 Solve -1907 = -528*r - 3928 - 2203 for r. -8 Solve 146*g + 1245*g - 592 + 14502 = 0 for g. -10 Solve 90*l - 30 = -1451 - 919 for l. -26 Solve 126*f = -130*f for f. 0 Solve 13*y - 6*y = -64*y - 1207 for y. -17 Solve 694*z = 738*z + 176 for z. -4 Solve -75*f - 5045 = -4970 for f. -1 Solve -32*z + 51*z - 30*z = 407 for z. -37 Solve c - 265 = -32*c + 230 for c. 15 Solve 5*i - 41997 + 41952 = 0 for i. 9 Solve -3*w = 25*w + 299 - 47 for w. -9 Solve 70*l - 77 = -7 for l. 1 Solve 32*a + 14*a - 5*a = 0 for a. 0 Solve 143*w = -466*w - 12398 + 2045 for w. -17 Solve 52*d = -4050 + 1946 + 648 for d. -28 Solve 5 = -22*u - u - 110 for u. -5 Solve 87*h - 400 = -88*h + 191*h for h. -25 Solve 65*l + 371 = 12*l for l. -7 Solve -93*f - 23 - 220 = 36 for f. -3 Solve 32*v = -378 + 634 for v. 8 Solve 176*q + 17*q = 35*q for q. 0 Solve 0 = -16835*f + 16819*f + 528 for f. 33 Solve -8*v - 379*v + 14*v = 2238 for v. -6 Solve -768*c - 749*c + 616 = -1539*c for c. -28 Solve 266*u - 342 - 8918 = -197*u for u. 20 Solve -81*x = -174*x - 1953 for x. -21 Solve 698*v - 648*v - 1900 = 0 for v. 38 Solve 58*z + 70 = -247 - 1191 for z. -26 Solve 607*f - 587*f + 220 = 0 for f. -11 Solve -14*p - 237 = 269 - 674 for p. 12 Solve -180*b - 11 = -436 - 115 for b. 3 Solve 0 = 474*g - 3*g + 8949 for g. -19 Solve 442*b - 7939 = 12*b + 897*b for b. -17 Solve -57*p - 375*p + 864 = 0 for p. 2 Solve 25*t = 607 - 1307 for t. -28 Solve -30*j - 120 = -17*j + 2*j for j. -8 Solve -19*s + 3*s - 29931 = -29899 for s. -2 Solve 0 = -311*y + 412*y + 606 for y. -6 Solve 127*l = 77*l + 300 for l. 6 Solve -50*n + 7072 = 7722 for n. -13 Solve -178 - 76 = 54*y + 340 for y. -11 Solve -472*v - 56 - 2193 = -645*v for v. 13 Solve 5884 = -118*g + 10014 for g. 35 Solve -756623*x = -756574*x + 392 for x. -8 Solve 0 = -23*w + 75 - 138 - 259 for w. -14 Solve 349*u - 175*u - 143*u + 62 = 0 for u. -2 Solve 2715*i = 2721*i + 126 for i. -21 Solve -680*t + 99 = -581*t for t. 1 Solve 35 = 7779*m - 7814*m for m. -1 Solve 17446 = 674*g + 422*g - 303*g for g. 22 Solve -2*q - 15 = -8*q + 21 for q. 6 Solve 78*o = 158*o + 480 for o. -6 Solve 2926 = -55*f + 321*f for f. 11 Solve 0 = -21*f + 119 - 77 for f. 2 Solve 1454 + 1234 - 168 = 210*w for w. 12 Solve s - s - 1232 = -88*s for s. 14 Solve -6*b + 4741 = 4771 for b. -5 Solve -168*z - 1646 = -1110 + 2488 for z. -18 Solve 618*b - 11604 = -1098 for b. 17 Solve 17 + 3 = -74*g - 202 for g. -3 Solve 300 = -46*z - 47*z + 63*z for z. -10 Solve 426*w - 117*w + 10332 = -60*w for w. -28 Solve 367*u - 973 = 1229 for u. 6 Solve 1057 = 83*y - 520 for y. 19 Solve -47*f = 78*f - 2926 - 199 for f. 25 Solve -60*g + 19*g + 48*g - 91 = 0 for g. 13 Solve -12*m - 863 = -82*m - 233 for m. 9 Solve 0 = -618*w - 550*w - 15*w + 16562 for w. 14 Solve 1309*j + 1143 - 2376 = 5312 for j. 5 Solve 13*w - 2407 = -70*w for w. 29 Solve 73*z + 82*z = -50*z + 410 for z. 2 So
{ "pile_set_name": "DM Mathematics" }
it of a? 4 Let j be 2/(-3) + 4/6. Suppose q = -5*f + 31, j*f + 15 = 5*q - 3*f. Let t = q - -3. What is the units digit of t? 9 Let x(k) = -6 - k + 6. What is the units digit of x(-2)? 2 Suppose -4*j - h + 19 = 0, 3*j + h - 19 = 5*h. Suppose -5*i + 6 + 8 = -4*d, -d - j = -2*i. What is the units digit of i? 2 Let w(s) = -s**3 + 6*s**2 - 4*s. Let r = 10 - 5. What is the units digit of w(r)? 5 Suppose -5*v = 2*a - 55, 3*a + v - 120 = -5. What is the tens digit of a? 4 Let r(o) = -o**3 + 5*o**2 + 7*o + 8. Let q be r(6). What is the units digit of 18/q - (-4)/(-14)? 1 Suppose 0 = 5*z - 9 - 1. Suppose -z*b + 3*b = 50. Suppose -4*w + 28 = -3*w - 4*n, 5*w - b = 2*n. What is the units digit of w? 8 Suppose -q + 4*q + 34 = f, -5*f + 3*q + 122 = 0. Let n = -13 + f. Suppose -5*z = -a - n, 5*a - 3*z - 51 = -2*z. What is the units digit of a? 1 Suppose -4*g = -2*w + 4*w - 14, 0 = 3*w - 4*g - 11. Let i(r) = r**2 - 3*r + 3. What is the tens digit of i(w)? 1 Let b(y) = 5*y - 2. What is the units digit of b(2)? 8 Let f = 73 - 26. What is the tens digit of f? 4 Let q = -219 - -309. What is the units digit of q? 0 Let y(t) = 2*t**2 + 6*t - 11. Suppose 2*b - 5*b + 15 = 0, 3*w + 3*b + 3 = 0. What is the units digit of y(w)? 5 What is the units digit of 8 + -5 + 2 - 8/(-2)? 9 Let j = -114 + 161. What is the tens digit of j? 4 Suppose -5*s - 171 + 2036 = 0. What is the units digit of s? 3 Suppose -51 = -3*d - 3*f, -37 = -d - 0*f + 4*f. What is the units digit of d? 1 Let t(m) be the first derivative of 3*m**2/2 - 3*m + 1. What is the units digit of t(4)? 9 Let t be ((-54)/36)/((-2)/48). Suppose -z + 2*v = v - 8, -5*v - t = -4*z. What is the units digit of z? 4 Suppose -5*u + 213 = p, p = -2*u + 15 + 183. What is the tens digit of p? 8 Let z be 5/5*(0 + -1). Let v = 5 + 0. Let f = v + z. What is the units digit of f? 4 Suppose 4*w = -0*w - 8. What is the tens digit of (w/(-4))/(1/20)? 1 Suppose -3 - 12 = -5*k. What is the units digit of k? 3 Let p be (6/4)/((-6)/8). Let d be ((-19)/2)/(1/p). Suppose -r = -2*a - 11, -r = 4*a - 0*a + d. What is the units digit of r? 1 Let y be (-4)/((-4)/5)*-1. What is the tens digit of 35/y*(-36)/14? 1 Let d = 10 + -6. Suppose -d*y + 2*y + 2 = 0. Suppose -2*c - y = -3*c. What is the units digit of c? 1 Let r(q) = -q - 2. Let b be r(-3). What is the units digit of b*2*(-222)/(-12)? 7 Suppose 0 = -3*i - t - 0*t + 55, -2*i - 3*t = -32. Let c = 49 - i. What is the units digit of c? 0 What is the tens digit of (42 - 1) + 12/(-6)? 3 Let s(c) = c + 16. Let j be s(-7). Suppose -4 = 6*t - 2*t. What is the units digit of (2 + t)*(-2 + j)? 7 Let r(b) = -2*b**3 + 3*b**2 + 3*b - 11. Let j(p) = p**3 - 2*p**2 - 2*p + 6. Let u(n) = 11*j(n) + 6*r(n). What is the units digit of u(-3)? 3 Let h = -17 + 11. Let a(u) be the first derivative of u**3/3 + 3*u**2 + 6*u - 4. What is the units digit of a(h)? 6 Let w be 0 + 0/(-2) + 0. Suppose w*d = -d + 9. What is the units digit of d + -1 + 2/(-1)? 6 Let d be (-16)/(-9) + (-4)/(-18). Let n = 6 + 3. Let o = n - d. What is the units digit of o? 7 Suppose 3*r - 13 = -2*r + 2*y, 4*r - 5*y = 24. Let w(j) = 13*j**2 + j. What is the units digit of w(r)? 4 Let r be 4/10*(-6 - -86). What is the units digit of (r/1)/(5/5)? 2 Suppose 5*o - 20 = g + 2*g, -4*o = -5*g - 29. Let s = o - -39. What is the tens digit of s? 4 Let h be (-16)/(0 - (-2)/(-18)). Suppose 2*n - 6*n = -h. What is the tens digit of n? 3 Let p = -9 - -14. Let t = -4 + p. What is the units digit of t? 1 Let q = -63 - -147. Suppose -5*c = -c + 4*t - 56, -q = -4*c + 3*t. What is the units digit of c? 8 Suppose 0 = 2*t - 4 - 6, t - 25 = -k. Suppose k = 4*d - 0*d. What is the units digit of d? 5 Let p(b) = -b - 1. Let i(u) = -5*u - 9. Let o(v) = i(v) - 4*p(v). Let q be o(-8). Suppose q*m = -4*n + 23 + 22, 58 = 5*m + n. What is the units digit of m? 1 Suppose 0 = -z - 2, -i = 2*i - 5*z - 442. What is the hundreds digit of i? 1 Let b be 77 + (-3)/(2 + 1). Suppose 5*y = 3*d - b, 23 = -4*y + 3. What is the tens digit of d? 1 Suppose -5*r + 474 - 139 = 0. What is the units digit of r? 7 Let n = 126 - 84. What is the units digit of (n/(-35))/(6/(-40))? 8 Let q = -4 - -6. Suppose q*m = 3 + 5. What is the units digit of m? 4 Let r(d) = -d**3 + 6*d**2 - 4*d. Let v be r(5). Suppose 4*b + 2 = -v*j + 15, -5*b + 10 = 0. What is the units digit of j? 1 Suppose 0*w - 123 = -3*w. What is the tens digit of w? 4 Let w(t) = -43*t - 3. What is the tens digit of w(-1)? 4 Let p = 5 + -1. What is the tens digit of (-165)/10*p/(-3)? 2 Let u(h) = 3*h**2 + 5*h**3 - 5*h - 4*h**3 + 5 + h**2. What is the units digit of u(-5)? 5 Let j be 0 - (9/3 - 3). Suppose -m + 4*m - 9 = j. Suppose m*s + s + 4 = 3*c, s - c = -2. What is the units digit of s? 2 Suppose -40 = -5*d - 0*d. What is the units digit of d? 8 Let w be 614/7 - (-2)/7. Suppose 0*l - 4*l = -4*b + w, 50 = 2*b - 5*l. What is the units digit of b? 0 Let m(r) = 33*r + 2. What is the tens digit of m(1)? 3 Let y = 143 + -79. What is the units digit of y? 4 Let w = -15 - -21. What is the tens digit of w*(-3 - 52/(-8))? 2 Let k = 11 + 1. Suppose n + k = -n. Let a = -2 - n. What is the units digit of a? 4 Let z = -5 - -8. Let v = z - -45. What is the tens digit of v? 4 What is the units digit of (-2)/(-18) + 592/18? 3 Suppose 4*f + 3 = f. Let l(w) = 72*w - 32. Let y(b) = 11*b - 5. Let a(p) = -5*l(p) + 32*y(p). What is the units digit of a(f)? 8 Let b = 34 - 18. What is the units digit of b? 6 Suppose h = a + 58, 3*h - 7*h + a + 223 = 0. Suppose 0 = -2*m - 3*m + h. What is the units digit of m? 1 Suppose -5*c + c + 292 = 0. What is the tens digit of c? 7 Suppose 4*g + g = 190. What is the tens digit of g? 3 Let y = 45 - 30. Suppose 3*x = y - 3. Suppose b = r - 2, 0 = -x*r + 2*r - 2*b + 12. What is the units digit of r? 4 Let r = -56 - -91. Let x = r + -22. What is the tens digit of x? 1 Let p = 20 + 48. What is the tens digit of p? 6 Let w(s) = s**3 - 7*s**2 + 4*s + 5. Let l be w(6). Let a(v) = -3*v + 2*v - 8 + 2*v + 20. What is the units digit of a(l)? 5 Suppose 49 = 2*u + 9. What is the tens digit of u? 2 Suppose -4*j + 4*t + 56 = 0, 0 = j - 5*t - 20 + 2. Let y = -40 + j. Let s = -19 - y. What is the units digit of s? 8 Let p be (-4)/(-12)*-3 + 3. Suppose q - p*q = -52. What is the tens digit of q? 5 Suppose -5*t = 4*h - 100, 4*h + 60 = 5*t - 0*t. What is the units digit of t? 6 Let s(p) = 3*p**2 - 3. What is the units digit of s(3)? 4 Let y(u) = u**2 - 9*u + 10. Let a be y(8). Suppose -i = -3*p + 3, 0*p + 5*p = -4*i - 12. Suppose -a*k - k + 12 = p. What is the units digit of k? 4 What is the units digit of (104/6)/(14/21)? 6 Let r = 56 + -18. What is the tens digit of r? 3 Let j = -21 + 23. Suppose j*v - 12 = -4. What is the units digit of v? 4 Suppose 3*m - 626 = -2*o, 7*m - 2*m - 1054 = 2*o. What is the tens digit of m? 1 Let a = 3138 + -1795. Suppose 353 - a = -5*q. What is the tens digit of (2/(-3))/((-12)/q)? 1 Let h(c) = 2*c + 10 + 6 + 10 + 0. What is the tens digit of h(0)? 2 Let l be 12/8*30/9. Suppose -6*q + 4*q - 2*y + 184 = 0, -q + 68 = -l*y. Suppose -5*k + k = -q. What is the tens digit of k? 2 Let t = 105 + -33. Suppose -t = -8*j + 5*j. What is the tens digit of j? 2 Let m(h) = -h + 2. Let a be m(6). Let i = 2 - 7. Let k = a - i. What is the units digit of k? 1 Let c = -5 + 7. Suppose 3*i - 67 = 4*p, p + 0*p + 43 = c*i. Suppose -4*w + i = 5*v, 4*v = 4*w - 7*w + 16. What is the units digit of w? 4 Let n be 1*116 + -1 + 2. Let u be (-3)/4 + n/12. Suppose t - u = -4. What is the units digit of t? 5 Let i(o) = 10*o - 1. Let m(s) = -s**2 - s + 1. Let v be m(0). What is the units digit of i(v)? 9 Let k be (0/(-1 - 2))/(-2). Suppose 0 = -4*c - k*c. Let n(u) = -u**3 - u**2 + 2. What is the units digit of n(c)? 2 Let t(z) = 18*z**2 + 2*z - 9. What is the tens digit of t(-4)? 7 Let i be (9/6)/((-3)/(-6)). Suppose 10 = i*j - 23. What is the tens digit of j? 1 Suppose -2*v + 5*v - 3*a = 9, -2*v - 2*a = -18. What is the units digit of v? 6 What is the tens digit of (-6)/(4/((-40)/3))? 2 Let l(t) = -2*t**3 - 3*t**2 + 4*t + 3. Let b be l(-5). Suppose 16 = 4*d + 5*u + b, -2*d + 3*u - 60 = 0. What is the units digit of (-75)/(-11) + (-6)/d? 7 Suppose -3*y - k + 23 = -2, -4*k + 36 = 4*y. Let s = y - 2. What is the units digit of (s/10)/(6/
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 82 What is 87911 to the power of 1/4, to the nearest integer? 17 What is 779992 to the power of 1/10, to the nearest integer? 4 What is 12616812 to the power of 1/5, to the nearest integer? 26 What is the third root of 107624 to the nearest integer? 48 What is 9617937 to the power of 1/2, to the nearest integer? 3101 What is 484344 to the power of 1/4, to the nearest integer? 26 What is 5393408 to the power of 1/8, to the nearest integer? 7 What is 8810524 to the power of 1/3, to the nearest integer? 207 What is 9574337 to the power of 1/3, to the nearest integer? 212 What is 170624 to the power of 1/2, to the nearest integer? 413 What is the square root of 6161945 to the nearest integer? 2482 What is the cube root of 851503 to the nearest integer? 95 What is the square root of 27176 to the nearest integer? 165 What is the cube root of 118902 to the nearest integer? 49 What is the tenth root of 617739 to the nearest integer? 4 What is 338887 to the power of 1/2, to the nearest integer? 582 What is the third root of 285844 to the nearest integer? 66 What is 573679 to the power of 1/8, to the nearest integer? 5 What is the fifth root of 6608774 to the nearest integer? 23 What is the square root of 219345 to the nearest integer? 468 What is 27191902 to the power of 1/6, to the nearest integer? 17 What is 1760337 to the power of 1/9, to the nearest integer? 5 What is 9391725 to the power of 1/6, to the nearest integer? 15 What is 893421 to the power of 1/3, to the nearest integer? 96 What is the square root of 2760626 to the nearest integer? 1662 What is the square root of 508134 to the nearest integer? 713 What is 2283198 to the power of 1/6, to the nearest integer? 11 What is 6800732 to the power of 1/7, to the nearest integer? 9 What is the square root of 12571197 to the nearest integer? 3546 What is the third root of 10388401 to the nearest integer? 218 What is 2505060 to the power of 1/8, to the nearest integer? 6 What is 2789248 to the power of 1/3, to the nearest integer? 141 What is 2162413 to the power of 1/7, to the nearest integer? 8 What is the fifth root of 1048096 to the nearest integer? 16 What is the fourth root of 100425 to the nearest integer? 18 What is 12449950 to the power of 1/7, to the nearest integer? 10 What is 938741 to the power of 1/3, to the nearest integer? 98 What is the seventh root of 163686 to the nearest integer? 6 What is the tenth root of 1650527 to the nearest integer? 4 What is the square root of 13610626 to the nearest integer? 3689 What is the ninth root of 2997328 to the nearest integer? 5 What is the square root of 6241368 to the nearest integer? 2498 What is 22111370 to the power of 1/2, to the nearest integer? 4702 What is 2168965 to the power of 1/5, to the nearest integer? 19 What is the square root of 146854 to the nearest integer? 383 What is 2041013 to the power of 1/8, to the nearest integer? 6 What is the third root of 381963 to the nearest integer? 73 What is the eighth root of 7374996 to the nearest integer? 7 What is 17457200 to the power of 1/3, to the nearest integer? 259 What is 2877933 to the power of 1/2, to the nearest integer? 1696 What is 60759 to the power of 1/2, to the nearest integer? 246 What is 1906351 to the power of 1/2, to the nearest integer? 1381 What is the square root of 731265 to the nearest integer? 855 What is the third root of 115224 to the nearest integer? 49 What is the fifth root of 539362 to the nearest integer? 14 What is the third root of 727987 to the nearest integer? 90 What is 152041 to the power of 1/3, to the nearest integer? 53 What is 23576259 to the power of 1/9, to the nearest integer? 7 What is 7353139 to the power of 1/2, to the nearest integer? 2712 What is the cube root of 566151 to the nearest integer? 83 What is the third root of 265568 to the nearest integer? 64 What is 105955 to the power of 1/3, to the nearest integer? 47 What is 19115133 to the power of 1/2, to the nearest integer? 4372 What is 39695504 to the power of 1/2, to the nearest integer? 6300 What is 2964394 to the power of 1/2, to the nearest integer? 1722 What is the eighth root of 319463 to the nearest integer? 5 What is the square root of 4392036 to the nearest integer? 2096 What is 466361 to the power of 1/3, to the nearest integer? 78 What is 706074 to the power of 1/2, to the nearest integer? 840 What is 1311467 to the power of 1/7, to the nearest integer? 7 What is 40081 to the power of 1/3, to the nearest integer? 34 What is the seventh root of 3117116 to the nearest integer? 8 What is the fifth root of 482878 to the nearest integer? 14 What is 606348 to the power of 1/2, to the nearest integer? 779 What is 1276120 to the power of 1/2, to the nearest integer? 1130 What is 15964762 to the power of 1/10, to the nearest integer? 5 What is 4858746 to the power of 1/3, to the nearest integer? 169 What is the square root of 5341937 to the nearest integer? 2311 What is 26887074 to the power of 1/3, to the nearest integer? 300 What is the square root of 90760 to the nearest integer? 301 What is the eighth root of 695706 to the nearest integer? 5 What is the third root of 577332 to the nearest integer? 83 What is the square root of 22198 to the nearest integer? 149 What is 752490 to the power of 1/3, to the nearest integer? 91 What is 1301857 to the power of 1/6, to the nearest integer? 10 What is 4250384 to the power of 1/5, to the nearest integer? 21 What is the fourth root of 491749 to the nearest integer? 26 What is 1533840 to the power of 1/2, to the nearest integer? 1238 What is the third root of 20183082 to the nearest integer? 272 What is the cube root of 72032 to the nearest integer? 42 What is 1422205 to the power of 1/8, to the nearest integer? 6 What is the fourth root of 148353 to the nearest integer? 20 What is 4941598 to the power of 1/8, to the nearest integer? 7 What is the third root of 350816 to the nearest integer? 71 What is the tenth root of 12757382 to the nearest integer? 5 What is the fourth root of 6366358 to the nearest integer? 50 What is the cube root of 1246593 to the nearest integer? 108 What is 1098167 to the power of 1/2, to the nearest integer? 1048 What is the eighth root of 25944851 to the nearest integer? 8 What is the third root of 3117830 to the nearest integer? 146 What is 1788821 to the power of 1/4, to the nearest integer? 37 What is 4793894 to the power of 1/2, to the nearest integer? 2189 What is the fifth root of 504653 to the nearest integer? 14 What is the third root of 547114 to the nearest integer? 82 What is 213912 to the power of 1/3, to the nearest integer? 60 What is the fifth root of 2633976 to the nearest integer? 19 What is 15485250 to the power of 1/5, to the nearest integer? 27 What is the square root of 15596555 to the nearest integer? 3949 What is 2124453 to the power of 1/4, to the nearest integer? 38 What is the square root of 7736726 to the nearest integer? 2781 What is 26829338 to the power of 1/3, to the nearest integer? 299 What is the cube root of 10496987 to the nearest integer? 219 What is the square root of 4358974 to the nearest integer? 2088 What is 21587 to the power of 1/5, to the nearest integer? 7 What is the ninth root of 26385 to the nearest integer? 3 What is the square root of 6297871 to the nearest integer? 2510 What is 12388961 to the power of 1/9, to the nearest integer? 6 What is the ninth root of 337102 to the nearest integer? 4 What is 771810 to the power of 1/2, to the nearest integer? 879 What is 4109381 to the power of 1/3, to the nearest integer? 160 What is the fifth root of 9702245 to the nearest integer? 25 What is the fourth root of 383127 to the nearest integer? 25 What is 7187347 to the power of 1/2, to the nearest integer? 2681 What is the third root of 693579 to the nearest integer? 89 What is 4763063 to the power of 1/3, to the nearest integer? 168 What is the eighth root of 1171745 to the nearest integer? 6 What is the seventh root of 3570359 to the nearest integer? 9 What is the square root of 98426 to the nearest integer? 314 What is the fifth root of 1715685 to the nearest integer? 18 What is 3508736 to the power of 1/2, to the nearest integer? 1873 What is
{ "pile_set_name": "DM Mathematics" }
*i) + 3 - i - 3. 209*i - 15 Expand (4 - 2 + 3)*(-15 + 8 + 8)*(6*v + 13*v + 6*v). 125*v Expand (8 + 2 - 4)*(-4*v + 2*v**4 + 4*v + (14*v**2 + 5*v**2 + 0*v**2)*(3*v**2 + 2*v**2 - 4*v**2))*(8 - 2*v + 0 - 14). -252*v**5 - 756*v**4 Expand (4 - 1 + 0)*(-1 - 1 + 2*w + 4)*(7*w**2 + 2*w**2 - 4*w**2). 30*w**3 + 30*w**2 Expand (-3*n + n + n)*(25*n**4 + 28*n**4 + 11*n**4 + (4 - 4 - n)*(n**3 + 0*n**3 + 0*n**3) - n**4 + 2*n**3 - n**4 + 0*n**3). -61*n**5 - 2*n**4 Expand (6*p**2 - 6*p**2 + 3*p**3)*(3*p - p + 0*p) + 37*p - 37*p - 13*p**4 + (2*p**3 + p**3 - p**3)*(-2*p - p + 9*p). 5*p**4 Expand (-10*u + 18 - 18)*(11*u - 13*u + 36 - 12). 20*u**2 - 240*u Expand (-4185*h - 3067*h - 1766*h - 2)*(-1 - 4 + 3). 18036*h + 4 Expand (2 + 0 - 1)*(-29*a + 50 - 50)*(-107*a**2 + 30*a - 30*a). 3103*a**3 Expand 131*g + 113*g - 21*g + (-1 + 1 - g)*(1 - 5 + 2) + 2*g - g + g - 2*g - 7*g + 3*g + 0 + 2*g + 0. 223*g Expand -3605 - 29*p - 5*p + 3643 + (0 - 3 + 4)*(-2*p + 3 - 3). -36*p + 38 Expand (-3 + 2 - 2)*(419*z + 66586 - 66586). -1257*z Expand (-11*v + 201 - 201)*(18*v - 35*v + 49*v)*(-3*v + 7*v - v). -1056*v**3 Expand (-3*q**2 + 0*q**2 + 4*q**2)*(-1156*q + 345*q + 91 - 636*q - 91). -1447*q**3 Expand (0 + 0 + p**2)*(833*p - 172*p + 194*p). 855*p**3 Expand (-1547 + 1549 + 114*x - 11*x)*(-24*x + 14 - 12 - 33*x). -5871*x**2 + 92*x + 4 Expand (11*k**2 - 13*k**2 + 10*k**2)*((2*k**2 - 2*k**2 - k**3)*(13 - 10 + 8)*(3 + 1 - 3) - 4*k**3 - k**3 + 3*k**3). -104*k**5 Expand (10472 + 5508 + 6286 + 10399 + 1144)*(0*z**5 + 5*z**5 - 4*z**5). 33809*z**5 Expand (-6 + 3*v + 6)*((0 + 0 - 2*v)*(0 + 0 - 2*v) + 0*v**2 - 3*v**2 - 2*v**2) + 357*v + 35*v**3 - 357*v. 32*v**3 Expand (3*z**2 - 4*z**2 + 0*z**2)*((-135 + 58 + 43)*(1 + 2 - 1) + 1 - 3 + 1)*(-3 + 1 + 0). -138*z**2 Expand (3 - 7 + 3)*(73*l - 2*l**2 - 73*l) + 785*l**2 - 343*l**2 - 287*l**2. 157*l**2 Expand (0 - 2 - 1)*(-501 + 157*x + 501)*(-1 + 1 + 3). -1413*x Expand 2*g**5 - 39791944 + 39791944 + g - 97*g**4 + (2*g**2 - g**2 - 3*g**2)*(-2*g**3 - g**3 + 5*g**3) + 0*g**5 + g**5 + 0*g**5. -g**5 - 97*g**4 + g Expand (-6 + 4*m + 6)*(6 - 187 - 128) + (3 + m - 3)*(2 + 1 - 4). -1237*m Expand (-569 - 262 + 72)*(-2*b**4 + 4*b**4 - b**4). -759*b**4 Expand 0*y**2 - 3*y**2 - 4*y**2 + (-y - 3*y + 2*y)*(-4*y + 10*y + 5*y). -29*y**2 Expand (-d**4 - 3*d**4 + 5*d**4)*(-42 - 14*d + 42) + (d**3 + d**3 - 4*d**3)*(135*d**2 - 1 + 3 - 149*d**2). 14*d**5 - 4*d**3 Expand (85*m + 33*m - 7*m + 51*m + 39)*(-1 - 3*m + 0*m - 3*m). -972*m**2 - 396*m - 39 Expand (7*q - 3*q - 3*q)*(13*q + 149*q - 9 - 134*q). 28*q**2 - 9*q Expand -g**3 - 3*g + 3*g + (-4*g**2 - 17 + 17)*(-3 + g + 3)*(10 + 7 - 38). 83*g**3 Expand (20*u - 9*u + 2 + 3 + (-20*u + 3*u - 6*u)*(2 + 3 - 4))*(0*u**3 - 2*u**3 + 3*u**3 + (0*u**2 - u**2 - u**2)*(3*u - 3*u - 2*u)). -60*u**4 + 25*u**3 Expand (25*x - 7*x + 13*x)*(-5 - 26 + 71). 1240*x Expand (3 - 3 - q**2)*(362 + 118 + 4). -484*q**2 Expand ((0*g + 2*g + 0*g)*(3 - 6 + 1)*(0*g**2 + g**2 + 0*g**2) - 93545*g**2 - 1083*g**3 + 93545*g**2)*(2 - 1 + 1). -2174*g**3 Expand (169 + 394 - 48 - 30 + 217)*(10 - 14 - 11)*(-2*t + 3 - 3). 21060*t Expand -171*p**5 - 198*p**5 + 307*p**5 + 15*p**5 - 17*p**2 + 17*p**2 + (2*p**4 + 0*p**4 - 3*p**4)*(-4*p + 2*p + 0*p). -45*p**5 Expand (-3*u + 0*u + 2*u + (2 + 1 - 1)*(0*u - 2*u + u) - u + 0 + 0 + (-1 + 1 + 1)*(u + 2*u - 4*u))*(1 + 1 + 1)*(-2 + 4 - 3). 15*u Expand (-2*q**2 + 2*q**2 + q**2)*(21*q - 18*q + 14*q) + (4*q**2 + 10*q - 10*q)*(5*q + q + 2*q) + q**3 - q**3 - 3*q**3. 46*q**3 Expand (-30*s + 3*s**4 - 6*s**4 + 31*s)*(-4 - 2 + 4)*(0 + 77 + 5). 492*s**4 - 164*s Expand (194*m + 32*m - 13*m)*(m + 2*m - m)*(2*m - m - 16*m). -6390*m**3 Expand (3 - 5 + 3)*(-39549 + 39549 - 3589*s**2). -3589*s**2 Expand (-2 + 6 + 1)*(0 - 2*i**3 + 0) + (2*i**2 - 3*i**2 + 0*i**2)*(7*i - 12*i + 38*i). -43*i**3 Expand (2126 - 1138 + 1749 - 727 + 2680)*(-3*a - a - 2*a). -28140*a Expand -173*g**2 + 173*g**2 + 4*g**5 + (-17*g**4 + 36*g - 36*g)*(0*g - 2*g + g) - 3*g**5 + 7*g**4 - 7*g**4. 18*g**5 Expand -d**3 - 2*d**3 + d**3 + (-11543 + d + d + 11570)*(-4*d**2 - 42 + 42). -10*d**3 - 108*d**2 Expand (2*a**2 + 0*a**2 - a**2)*(-a + 2*a**3 + a) - 3*a**5 + a**5 + a**5 - 29919*a**5 - 1755*a**5 + 6741*a**5. -24932*a**5 Expand (0*c - c + 3*c)*(-5 + 3 - 3) + (3 - 6 + 2)*(2*c + 2*c - 2*c) - 5 + 5 + c. -11*c Expand g - 2*g + 0*g + (-5788*g + 895*g - 5776*g + 2339*g)*(-3 + 3 + 1). -8331*g Expand (11 - 8 - 19*r - 3)*(-r**2 + r**2 + r**2 - 12*r**2 - 992 + 992 + (4 - 5 - 2)*(r**2 - 3*r**2 + 0*r**2) + 0*r - 2*r**2 + 0*r). 133*r**3 Expand (42 - 42 - 24*d**3)*(0 - 1 - 2 + 1 - 3 + 1 + (3 - 2 - 3)*(0 - 3 + 5) + (-3 + 4 - 2)*(4 + 1 - 1)). 288*d**3 Expand (71*w**2 - 14*w**2 + 30*w**2 + (2*w - 2*w + w)*(4*w - 3*w - 3*w))*(-w - 2*w**2 + 3*w + w). -170*w**4 + 255*w**3 Expand (-105 - 68 - 34)*(-1 + 3*p**2 + 1) + 0*p**2 - 2*p**2 + 0*p**2. -623*p**2 Expand (-4*i - 2*i + 5*i)*(3 - 1 - 4) - 470 + 2483*i + 478 - 795*i + 5453*i. 7143*i + 8 Expand (33*l**2 + 97*l**2 - 57*l**2 + 349*l**2)*((-3*l**2 - 2*l**2 + 7*l**2)*(2 + 29 - 1) - 4*l**2 + l**2 + 4*l**2). 25742*l**4 Expand (39 - 1613 - 62)*(d + 4*d - 4*d). -1636*d Expand 943*m - 1761*m + 1731*m - 1 + (0 - 2 + 0)*(3*m - 2*m - 4*m) + 2 + 2*m - 2. 921*m - 1 Expand (2 - 5 - 1 + (1 + 0 + 0)*(3 + 2 - 4) - 4 + 2 + 4)*(179*y**2 + 120 - 120) + 0*y + y**2 + 0*y. -178*y**2 Expand (-35091*h + 10 + 8 + 35090*h)*(340 - 519 + 262)*(-h - 1 + 1). 83*h**2 - 1494*h Expand (1989 - 1467 + 8342)*(-4*k**2 + 3*k**2 - 2*k**2). -26592*k**2 Expand (-5 + 5 - s**3)*(-2*s - s**2 + 2*s) + 4*s**5 + 47 - 47 + 3*s. 5*s**5 + 3*s Expand ((k - 2*k + 3*k)*(2*k + k - 2*k) + 0*k**2 + k**2 - 5*k**2)*(354*k**3 + 192*k**3 + 560*k**3). -2212*k**5 Expand -20518022*k**2 - 2 + 323*k + 20518018*k**2 + 3 + (-3*k + 4*k + 0*k)*(-k - 3*k + 3*k). -5*k**2 + 323*k + 1 Expand (-y + y + y**2 + (1 - 6 + 3)*(-5*y**2 + y**2 + 3*y**2))*((-4 + 2 + 0)*(2 + 0 - 4) + 655 - 456 + 2554). 8271*y**2 Expand -3*a**5 - 3*a**5 + 7*a**5 + (-a**3 - a**2 + a**2)*(0*a**2 - 4*a**2 + 6*a**2) + 35*a**5 + 34*a**5 - 83*a**5 + 85 + 12*a**5 - 85. -3*a**5 Expand 3*r**5 - 2*r**5 - 2*r**5 + (104015520 - 104015520 + 2256*r)*(-r**4 + 0*r + 0*r). -2257*r**5 Expand -4*g**5 + 0*g**5 + 2*g**5 + (-388*g**5 - 26821*g**4 + 26821*g**4)*(1 - 3 + 1). 386*g**5 Expand -53*v - 33*v + 32*v + (-1 + 1 + 1)*(3*v - 6*v + 2*v) - 4*v + 3*v + 9*v. -47*v Expand (24*o**3 - 50 + 50)*(18 - 63 - 21). -1584*o**3 Expand -2*t**2 - 9*t**2 + 3*t**2 + (48*t + 15*t + 20*t)*(4 - 4 - 2*t) + 3*t**2 - 7*t**2 + 2*t**2. -176*t**2 Expand (-22911 + 22911 + 4764*x**4)*(2*x - 2 + 2 + (3 + 2 - 4)*(0 - 5 + 3)*(2*x + 4 - 4)). -9528*x**5 Expand (4 - 4 + 2*z**3)*(478 + 61 - 59) + (-z - 2*z + z)*(-3*z**2 + 0*z**2 + 12*z**2). 942*z**3 Expand (-2*q + 3*q + 7*q)*(-1 + 3 - 4)*(-6*q - 21*q - 8*q). 560*q**2 Expand (86*z + 1454*z + 22*z)*(-z**4 + 0*z**4 + 0*z**4). -1562*z**5 Expand (-1 + 1 - t**2)*(394*t - 727*t + 632*t)*(3 - 1 - 4). 598*t**3 Expand (-1096 - 2565 - 1700)*(-3 + 1 + 3 - 5*k). 26805*k - 5361 Expand 2*s**5 - s**5 - 3*s**5 + (-10 + 25 - 16)*(-9*s - 18*s + 6*s)*(0*s**3 + 0*s**3 - 2*s**4). -44*s**5 Expand 3 - 1 + 0*s - 2*s + (-2 + 0 - 1)*(-12*s + 11*s - 13*s) + (-5 + 5 + 2*s)*(-2 + 4 - 3). 38*s + 2 Expand -39 + 39 - 12*p**4 + 6*p + (0*p - 2*p + p)*(-2*p**3 - 15*p**3 + 4*p**3). p**4 + 6*p Expand (5*o**2 - o**2 + 1 - 6*o**2 + 10*o)*(-17*o**2 - 34 + 34). 34*o**4 - 170*o**3 - 17*o**2 Expand ((-1 + 3 - 1)*(-1 - 2 + 5) + 2 - 1 + 0 + 2 + 1 - 1 + 2 - 4 + 0)*(-k + 1 - 1)*(-23*k**3 - k**2 + 1855*k - 1855*k + 2). 69*k**4 + 3*k**3 - 6*k Expand (51*y**2 - 24*y**5 - 51*y**2)*(-1 + 4 - 1)*(-4 + 23 - 2). -816*y**5 Expand (-3*k - k + 3*k)*(1128 + 126 + 204)*(1 + 1 - 1). -1458*k Expand (467357 + 124*j**2 - 467357)*(2*j + 3 - 3). 248*j**3 Expand (3680*r**3 + 365 + 34*r**2 - 366 - 3681*r**3)*(-5 + 2 + 1). 2*r**3 - 68*r**2 + 2 Expand (2*v**3 - 4*v + v + 0*v)*(80 - 32 - 48 + 3206*v). 6412*v**4 - 9618*v**2 Expand 40253570 + 0*g - 40253578 - 182*g**2 + 2*g + 4*g**2 + 0*g**2 - 3*g**2 + (g + 0*g - 3*g)*(-2*g - 2*g + 5*g) + 3*g**2 - 2*g**2 + g**2. -181*g**2 + 2*g - 8 Expand (r + 2 - 2)*(-2*r + 5*r + 0*r)*(2*r + 0*r - r)*(0*r**2 - 2*r**2 + 3*r**2 + (5 - 1 - 3)*(-2*r**2 - 2*r**2 + 6*r**2) - 4*r**2 - 1 + 1). -3*r**5 Expand ((5 - 1 - 3)*(1 + 1 - 3) - 262 + 298 + 684)*(-2*u + u + 0*u) + 4*u + 3*u - 3*u. -715*u
{ "pile_set_name": "DM Mathematics" }
1 = 5*d - 3*o, 0*o + w*o = -5*d - 5. Let t = -0.2 + 0.2. Put d, 0.3, t in descending order. d, 0.3, t Suppose -33 = -2*f + r + 4*r, 0 = 2*r + 10. Suppose 0 = -6*a + 4*a - 6. Put f, -1, a in descending order. f, -1, a Suppose 0 = 4*g - 3*i - 28, i - 16 = -3*g - 2*g. Suppose v - 8 + g = 0. Let b be (15/3)/(4 - 3). Put b, v, -2 in increasing order. -2, v, b Suppose -5*b + 4 = -1. Let s = -4868 + 4872. Sort -1, b, s, -3 in decreasing order. s, b, -1, -3 Let w(q) = 9 - 9*q + 8*q**2 - q**3 - q + 0. Let u be w(7). Let h be u + 11 + 8/9. Put -4, h, -3 in ascending order. -4, -3, h Let q be (-242)/8*(-16)/(-6). Suppose 11*b + 47 + 833 = 0. Let s = b - q. Put -4, 6, s in descending order. 6, s, -4 Suppose -111 = 12*w - 867. Let t = w - 64. Sort t, -2/3, 4 in descending order. 4, -2/3, t Let p be 0 + (-1)/(-1 + 0). Let f = -695 - -690. Sort p, 4, f in increasing order. f, p, 4 Let p = 53 - 317/6. Suppose -3*h + 5*d = h + 114, 2*d = -5*h - 126. Let a be 1 + (h/12 - (-2)/(-6)). Put 3, p, a in descending order. 3, p, a Let h = -1.8 - -1. Let g = 344.7 + -345. Let d = -391 - -5867/15. Put g, h, d in ascending order. h, g, d Let w = -22 + 12. Let k = 253/39 + -210/13. Let f = k - w. Put 3, f, 5 in decreasing order. 5, 3, f Let k be ((-5)/4)/(-5) - (-70)/8. Suppose -m - 32 = -k*m. Put m, 2, 1, -3 in descending order. m, 2, 1, -3 Let r = 48 + -47.7. Sort 2, 1.1, r, 1/9 in ascending order. 1/9, r, 1.1, 2 Let i(p) = -40*p**3 + p**2 + 1. Let c be i(1). Let g be -2 + 3 + (1 - 7). Sort -4, c, g in decreasing order. -4, g, c Let c = 0.111 - -47.889. Let r = -47.8 + c. Sort r, 5, -2, -0.2 in ascending order. -2, -0.2, r, 5 Let b = 987/4 + -248. Put -1/3, -0.2, b, 1/2 in decreasing order. 1/2, -0.2, -1/3, b Let v = 0.0591 - 2.5591. Sort 2/3, -5, v, 1. -5, v, 2/3, 1 Let r(z) = -2*z + 11. Let n be r(5). Suppose 0 = 3*f + t - n, 2*f + t = 6*f - 6. Sort 0, -1, f in ascending order. -1, 0, f Let h be ((-4)/14)/(1157/(-623)). Sort h, -1, -5.4. -5.4, -1, h Let g = 114.5 + -115. Let x = -3 - -3. Put x, 1, g, -3 in descending order. 1, x, g, -3 Let d = -11 + 10.9. Let r = -0.6 - d. Let b = r + 0.1. Sort b, 0.2, 2 in descending order. 2, 0.2, b Let f(l) = l**2 - 19*l - 10. Let n be f(19). Let x(t) = t**3 + 10*t**2 + 4*t + 39. Let w be x(n). Sort 2, w, -10, 3 in ascending order. -10, w, 2, 3 Let d be (-374)/110 - 4/(-10). Put -1, 4, d, -2 in decreasing order. 4, -1, -2, d Let c = 460 + -459. Put -4, c, -8, -1 in increasing order. -8, -4, -1, c Let r = -6 - -16. Suppose 3*d = 3*t - 0*t, -t - r = -3*d. Suppose 2*v + 4 = d*j - 0, 3*v = -3*j - 6. Sort -3, 3, v in ascending order. -3, v, 3 Suppose 0 = 5*g - g - 3*v - 19, 18 = 5*g + 2*v. Let b = 4.66 + 0.34. Let r = -0.04 - -2.04. Put g, b, r in decreasing order. b, g, r Let b be ((-9)/2)/(9/(-12)). Let p = -1357 - -1354. Sort p, b, -1 in increasing order. p, -1, b Let s(h) = -2*h**3 - 2*h**2 - 2*h - 1. Let x be s(-1). Let c be ((-15)/6)/(1/2). Let o be (18 + -21)/(6/8). Put o, x, c in descending order. x, o, c Suppose -c = -v + 10, -9*v - 10 = 4*c - 7*v. Put 7, 0, 3, c in increasing order. c, 0, 3, 7 Let d be (7 + -8)*10/(-2). Suppose -24 = 25*t - 17*t. Sort 10, t, d. t, d, 10 Let y(g) = -g**2 - 60*g + 257. Let q be y(4). Sort -7, -5, -4, q in increasing order. -7, -5, -4, q Suppose -403 + 163 = -5*n. Suppose -5*b - n = -b. Let m = -0.66 + 0.16. Sort m, b, 3. b, m, 3 Let w = 0.1 - -0.1. Let h = 2.8 + w. Let c be (-5 + 9 + -2)/(7/(-1)). Sort c, h, -0.1 in decreasing order. h, -0.1, c Suppose 0 = 2*g - 0*s - 4*s + 26, -10 = -5*g - 5*s. Let f = 9 - g. Suppose 0 = 4*v - f - 4. Sort 2, v, 5 in increasing order. 2, v, 5 Suppose 0 = 2*r - 6, -9*r + 4*r + 48 = 3*w. Suppose 2*g = -w*g + 65. Put 5/6, g, -0.01, -2/5 in increasing order. -2/5, -0.01, 5/6, g Suppose -4*o + 66*t - 71*t = 41, 2*o + t = -13. Put -30, 0, o in descending order. 0, o, -30 Let n(q) = q**2 + 20*q - 71. Let i be n(-23). Put -3, -10, i in descending order. i, -3, -10 Let a be 2/(((-112)/147)/8). Sort 2/13, a, -3. a, -3, 2/13 Let i = -1633/11 + 149. Suppose 149*a - 148*a - 2 = 0. Put i, a, -3 in decreasing order. a, i, -3 Let q(a) = a**3 - 20*a**2 + 17*a - 3. Let l be q(19). Let o = 42 + l. Put 2, o, 4, -2 in ascending order. -2, o, 2, 4 Suppose 48*u = -4*k + 43*u - 17, 0 = -2*k + 3*u + 19. Sort k, -83, -5 in decreasing order. k, -5, -83 Let k = -27 - -55/2. Let d be (98/(-1127) - (-186)/23) + -4. Sort k, -0.2, d. -0.2, k, d Let t be 1 + -3 - (-4 + 10 - 3). Let v = 0 - 1. Let n be v*(-6 - -1)*1. Put t, n, 2 in decreasing order. n, 2, t Suppose -5*t + 19 = 2*r, 0 = t - r - 2*r + 3. Let g be ((-84)/(-49))/6 + 78/21. Put g, 0, t in decreasing order. g, t, 0 Let v = 24 - 46. Let i be v/(-4) - (-1)/(-2). Let y(f) = f**3 + 3*f**2 + 2*f + 4. Let d be y(-3). Put d, 15, i in descending order. 15, i, d Let d = 196 - 195. Put -0.4, d, 0.4 in increasing order. -0.4, 0.4, d Let v = -2081 - -2080. Sort 2/3, v, 0.6 in decreasing order. 2/3, 0.6, v Let c(w) = w - 4. Let j be c(6). Suppose j = 2*m + 12. Let r be (-6 + 148/24)*6. Put r, -4, m in decreasing order. r, -4, m Let f = 44.6 + -44. Sort f, -5, -0.4. -5, -0.4, f Let t(n) = 2*n**3 - 21*n**2 + 27*n + 2. Let q be t(9). Sort -3, q, 5, -8 in decreasing order. 5, q, -3, -8 Suppose -20 = h + 5*y, 4*h - 7*y + 2*y = 45. Suppose -5*k = -v + 42, 50 = -h*k + 3*v + 2*v. Put -2/11, -2, k in descending order. -2/11, -2, k Suppose -2*c + 130 - 168 = 0. Let x be (-3 - c) + 0 - -1. Sort x, -4, 0. -4, 0, x Let a(p) = -89*p + 2044. Let n be a(23). Let i = -7 + 2. Sort i, n, -2 in decreasing order. -2, n, i Let m be 11/22*(3 - 4)*6. Sort -566, m, -2. -566, m, -2 Suppose 0*r = -5*r + 10. Suppose 4*v + 20 = -r*o - 0*o, 0 = 5*o - 5*v - 25. Let b be o - (15/(-6) - -2). Sort -0.3, b, 0 in descending order. b, 0, -0.3 Suppose -5*u - 4*q = -12, -5*u + 2*q = 4 + 2. Suppose 0 = 4*o + 2*d - 5*d + 20, -5*o + d - 14 = 0. Let g be -2 + (-6)/3 + o. Put 3, u, g in decreasing order. 3, u, g Let n(h) = h**3 - 2*h**2 + 2*h - 2. Let a be n(2). Let q be ((-6)/10)/(a/(-5)). Let f = -2869.8 + 2870. Sort q, f, -4 in descending order. q, f, -4 Let w be 4/(-1) + 8 + -3. Sort -1, -7, w in descending order. w, -1, -7 Let k = 136 + -136. Sort -1, k, 12, -10 in descending order. 12, k, -1, -10 Let r = 20.3 - 20. Sort 3/5, -0.04, r in descending order. 3/5, r, -0.04 Let o = -0.732 - -1.032. Put 0.01, o, 0, -5 in decreasing order. o, 0.01, 0, -5 Let i = -29.3 - 1.7. Let p = 29.3 + i. Let a = p - -6.7. Sort 1, -0.3, a. -0.3, 1, a Let p = -6 - -11. Let a = 267 + -269. Put 3, a, p in decreasing order. p, 3, a Let u = -199/350 - -7/50. Put -4, -0.2, 1, u in descending order. 1, -0.2, u, -4 Suppose -2*t = 2, 3*g + 4*t = -g + 540. Let z = g - 129. Sort 2, -4, z, 4 in descending order. z, 4, 2, -4 Suppose 0 = -18*c - 11*c - 87. Sort c, 11, -2 in decreasing order. 11, -2, c Let q = 0.07 + -5.07. Let i(z) = -2*z + 16. Let h be i(7). Suppose 6 = 5*p + 2*l - h, -3*l = 4*p - 12. Sort q, -2/3, p in decreasing order. p, -2/3, q Let h(w) = -6*w + 54. Let b be h(10). Let k(s) = -s + 2. Let f be k(-1). Let z = 253/9 + -28. Put f, z, b in decreasing order. f, z, b Suppose -3*i + 0*i = -12. Let s be (2 + -4)/((-72)/(-108)). Sort -3/5, 6, i, s in descending order. 6, i, -3/5, s Let d = -0.85 + 0.95. Sort d, 2, -4, -0.08 in decreasing order. 2, d, -0.08, -4 Let u = 11/60 - 1/20. Sort 3, u, -28 in descending order. 3, u, -28 Suppose 0 = -y - y + 6. Let z be (-2 - 1)*4/y. Let r = 4 + -5. Sort r, z, -5 in ascending order. -5, z, r Let r = 0.0193 - 22.0193. Sort 0.14, 5, r. r, 0.14, 5 Let w = 127 - 126. Sort w, -5, 9 in decreasing order. 9, w, -5 Let a(l) = 2*l**3 - l**2 - 9*l - 7. Let i be a(-1). Put i, -3, 5, 85 in increasing order. -3, i, 5, 85 Suppose 0 = 2*k - 10, 6*z = z - 3*k + 15. Let p(w) = -5 + 0 + z + 3*w - 2. Let d be p(3). Sort -3, 4, d. -3, d, 4 Let x = -43.05 - -0.05. Let b = x - -45. Sort 5/4, -0.4, 2/9, b in ascending order. -0.4, 2/9, 5/4, b Let j(t) = t**2 + 2*t + 2. Let d be j(-2). Let l be (78/65)/(2/20). Let r = 102 + -99. Sort r, l, d in decreasing order. l, r, d Suppose -4*u = 3*t + 32, 5*t + 3*u + 19 = 4*t. Sort -1, 3, t, 38 in descending order. 38, 3, -1, t Suppose 3*z + g - 11 = 0, 70 - 79 = 3*z - 3*g. Let k(i) = 3*i + 1. Let m(s) = -14*s - 5. Let d(c) = -11*k(c) - 2*m(c). Let
{ "pile_set_name": "DM Mathematics" }
nded to the nearest 1000000? 88000000 What is 0.00336214796 rounded to 5 decimal places? 0.00336 Round 78886.78912 to the nearest 1000. 79000 Round -274595.725 to the nearest ten thousand. -270000 What is 558407503.6 rounded to the nearest 1000000? 558000000 Round -121.4843481 to 2 decimal places. -121.48 Round -67122667.8 to the nearest ten thousand. -67120000 What is -4219539781 rounded to the nearest one hundred thousand? -4219500000 What is 0.00247418559 rounded to three dps? 0.002 What is 1078002.44 rounded to the nearest 10000? 1080000 What is 91890953 rounded to the nearest one million? 92000000 What is -6.7833873 rounded to zero decimal places? -7 What is -0.00000199854862 rounded to 7 decimal places? -0.000002 Round 21.7160578 to 3 dps. 21.716 Round -0.106276378 to 4 dps. -0.1063 What is -0.4237529 rounded to 3 dps? -0.424 Round 6520889.3 to the nearest 1000000. 7000000 What is 0.0047227266 rounded to five dps? 0.00472 Round -585.075637 to the nearest 10. -590 Round -1095.214 to the nearest 10. -1100 Round -0.00022951078 to 4 decimal places. -0.0002 Round 0.02522444214 to 3 decimal places. 0.025 What is 257625644.2 rounded to the nearest one hundred thousand? 257600000 Round -34.938145 to the nearest integer. -35 Round -6615.30206 to the nearest 1000. -7000 What is -62986490640 rounded to the nearest one million? -62986000000 What is -2575.02985 rounded to one dp? -2575 Round 45061.8133 to the nearest ten thousand. 50000 What is -0.109387143 rounded to five dps? -0.10939 Round 1210419.068 to the nearest ten thousand. 1210000 Round -0.0026609985 to 4 dps. -0.0027 Round 75159419030 to the nearest 1000000. 75159000000 Round 32419.43 to the nearest one hundred. 32400 What is 0.77437747 rounded to 3 dps? 0.774 What is 0.0055173248 rounded to 3 dps? 0.006 Round -100760933 to the nearest 100000. -100800000 Round -77.7216178 to the nearest integer. -78 Round -0.00002888525408 to 7 dps. -0.0000289 Round 227083.228 to the nearest one thousand. 227000 What is -0.34597477 rounded to the nearest integer? 0 Round 6.4985397 to 2 decimal places. 6.5 What is 17455800 rounded to the nearest one hundred thousand? 17500000 What is 79.9213261 rounded to 2 dps? 79.92 Round 309840671 to the nearest 10000. 309840000 What is 34.61283061 rounded to one decimal place? 34.6 Round -301179.208 to the nearest 10000. -300000 Round -0.221663371 to four dps. -0.2217 Round -0.0243589815 to six dps. -0.024359 Round -1213.38398 to the nearest ten. -1210 What is -5921.7746 rounded to the nearest 1000? -6000 Round 0.0075669204 to two decimal places. 0.01 Round -0.002374086121 to five decimal places. -0.00237 What is -0.0259375658 rounded to 5 decimal places? -0.02594 Round 300.639286 to two dps. 300.64 What is 0.006832494017 rounded to three decimal places? 0.007 What is -715518097 rounded to the nearest 1000000? -716000000 Round -7582169700 to the nearest 1000000. -7582000000 What is 0.004139098746 rounded to four dps? 0.0041 Round 136967849 to the nearest one hundred thousand. 137000000 What is 364978.088 rounded to the nearest 10000? 360000 What is 51.925331 rounded to the nearest 10? 50 Round 182307.19 to the nearest 10000. 180000 What is 74275576.5 rounded to the nearest 10000? 74280000 Round -2.06178 to the nearest integer. -2 Round 336.92165 to 0 dps. 337 Round -40338144.3 to the nearest 100000. -40300000 What is -246849.239 rounded to the nearest 10000? -250000 Round -0.54146022 to two decimal places. -0.54 Round -0.00624945595 to 3 dps. -0.006 Round -0.01797186511 to three decimal places. -0.018 Round 92.0395127 to 3 decimal places. 92.04 Round -754843.98 to the nearest 1000. -755000 What is -7375.7999 rounded to the nearest integer? -7376 Round 3185.638 to the nearest ten. 3190 Round 0.18081828 to four decimal places. 0.1808 What is 9820.80586 rounded to the nearest 1000? 10000 Round -0.06957744576 to 6 decimal places. -0.069577 Round 1620062.381 to the nearest 10000. 1620000 Round 223.12137 to one decimal place. 223.1 What is -27026.8674 rounded to the nearest one thousand? -27000 Round 0.00000531728783 to 7 decimal places. 0.0000053 What is -0.00001736265917 rounded to six dps? -0.000017 What is -13.0576276 rounded to zero decimal places? -13 Round 0.0000716549599 to 6 decimal places. 0.000072 Round -194372.1204 to the nearest one hundred thousand. -200000 Round -324935.275 to the nearest ten. -324940 Round -313019220 to the nearest ten thousand. -313020000 Round -5031.9536 to the nearest one thousand. -5000 What is -1.28699808 rounded to 3 dps? -1.287 Round -6090.17588 to the nearest integer. -6090 Round -15.72332061 to three dps. -15.723 What is 353242143 rounded to the nearest one million? 353000000 What is -174391.811 rounded to the nearest 10000? -170000 What is 0.000057192658 rounded to 7 decimal places? 0.0000572 What is -38352319.1 rounded to the nearest 1000000? -38000000 What is -529134.291 rounded to the nearest ten thousand? -530000 What is -0.000004883098785 rounded to 7 decimal places? -0.0000049 What is -0.00069189453 rounded to four decimal places? -0.0007 What is 1.814774677 rounded to three decimal places? 1.815 Round -8.8911877 to two dps. -8.89 Round 0.00002942728049 to five dps. 0.00003 What is -1035.29519 rounded to zero decimal places? -1035 What is 57.053297 rounded to the nearest ten? 60 What is -0.0000677901363 rounded to five decimal places? -0.00007 Round 1288369.83 to the nearest ten thousand. 1290000 Round 3245.66438 to 0 dps. 3246 What is 0.000008700014 rounded to 5 dps? 0.00001 Round -13903631.29 to the nearest 1000000. -14000000 What is 0.70655349 rounded to the nearest integer? 1 What is -9308463 rounded to the nearest one million? -9000000 Round -18505.4394 to the nearest ten. -18510 Round -3123220100 to the nearest 100000. -3123200000 What is 0.321804781 rounded to 5 dps? 0.3218 Round -1103635390 to the nearest one million. -1104000000 What is 0.01993566438 rounded to 2 decimal places? 0.02 Round -0.01059784 to four dps. -0.0106 What is 18.0290118 rounded to the nearest integer? 18 What is -3034.66856 rounded to the nearest ten? -3030 Round 0.000023211497386 to seven dps. 0.0000232 Round 5264826350 to the nearest 100000. 5264800000 Round -0.00000568301411 to six dps. -0.000006 What is 0.00060749675 rounded to 3 dps? 0.001 Round 99111456.5 to the nearest ten thousand. 99110000 Round -7.396642 to one decimal place. -7.4 What is -0.00773755933 rounded to 6 dps? -0.007738 Round -10.6148627 to 1 decimal place. -10.6 What is 285.500893 rounded to 2 dps? 285.5 Round -0.0033671933 to four dps. -0.0034 What is 2018692300 rounded to the nearest one million? 2019000000 What is 1056735.4 rounded to the nearest one hundred thousand? 1100000 Round -1419.953247 to the nearest ten. -1420 Round -14.38095887 to two decimal places. -14.38 Round 2230941260 to the nearest one million. 2231000000 What is 638142.7944 rounded to the nearest one hundred thousand? 600000 What is 0.02819301712 rounded to six decimal places? 0.028193 What is 21.166149 rounded to three dps? 21.166 What is -297.0796302 rounded to the nearest integer? -297 What is -28664508.1 rounded to the nearest 1000? -28665000 What is 0.0844800848 rounded to two dps? 0.08 Round -2206505360 to the nearest 1000000. -2207000000 What is -8238.29938 rounded to the nearest one hundred? -8200 Round -0.044497428 to three decimal places. -0.044 Round 3690698.876 to the nearest 100. 3690700 What is 21678972 rounded to the nearest 1000000? 22000000 What is 22265261.36 rounded to the nearest ten thousand? 22270000 Round -31811.8076 to zero dps. -31812 What is 36.0785837 rounded to the nearest ten? 40 What is -0.000021739281 rounded to six dps? -0.000022 What is 16.0059114 rounded to one dp? 16 What is 0.0000231583187 rounded to 5 dps? 0.00002 What is -88.7996972 rounded to 2 dps? -88.8 What is -0.0002773015 rounded to six dps? -0.000277 Round 0.640095594 to two dps. 0.64 What is -0.00197976431 rounded to seven dps? -0.0019798 What is -0.00131172472 rounded to six dps? -0.001312 Round 1207.07165 to 1 dp. 1207.1 Round 998569.156 to the nearest one hundred thousand. 1000000 Round -55139.5941 to the nearest one thousand. -55000 What is 463.181112 rounded to 2 decimal places? 463.18 Round -3.37155
{ "pile_set_name": "DM Mathematics" }
ange (-n + 4*n - n)*(295 - 611 + 611) to the form o*n + x and give o. 590 Rearrange 5 + 7 - 4 - 38 + 108*i to the form n + t*i and give t. 108 Express -382780 + 382780 + 613*k + (1 - 3 + 1)*(-4*k + 4*k - 3*k) as c*k + y and give c. 616 Rearrange -3*g**4 - 256*g + 25*g - 69*g**2 + 68*g**2 + 2*g**4 to the form d + f*g + z*g**2 + w*g**4 + p*g**3 and give z. -1 Rearrange 12960*c - 5503728 + 5503728 to the form f*c + v and give f. 12960 Express (5 - 3 - 4)*(-r + 4*r - 2*r) - r + r - r + 6*r + 3*r - 2*r + (2 - 1 - 2)*(-3*r + r + 4*r) + 3 - 3 + 4*r + 7*r + 8*r - 14*r as x*r + j and give j. 0 Express (c - 4*c + 9*c)*(19*c - 3 - 5*c - 7*c) in the form w*c**2 + r + l*c and give w. 42 Express 1626*h + 3736*h + 175 + 2823*h - 175 in the form p + a*h and give p. 0 Rearrange (-4 + 4*t + 4)*(2 + 0 + 1) + t + 927 - 702 - 658 to the form f*t + g and give g. -433 Express 964*s - 1072*s + 1853*s + 2275*s in the form z + d*s and give d. 4020 Express 101 - 45 + 8*p - 191 + 46 - 24*p in the form x*p + n and give n. -89 Rearrange (-6 + l**2 + 6)*(1134 + 1153 - 25*l**2 - 2283 + 5*l) to g*l**3 + a + s*l + x*l**2 + y*l**4 and give x. 4 Rearrange 1165*j - 1 - 5 + 11 + 3*j to the form n + z*j and give n. 5 Rearrange (3 - 5 + 0 + 2 - 1 + 0 + 1 - 2 - 1 + (3 - 2 + 1)*(-3 + 1 + 3) + (1 + 0 + 1)*(0 + 1 + 3))*(739*h - 324139 + 324139) to the form y*h + n and give n. 0 Rearrange 21 - 2*t + t**4 - t - 22 + 2*t**3 - 57*t**2 + 58*t**2 to k*t + m*t**3 + x*t**4 + o + i*t**2 and give k. -3 Express -1133*w - 1 + w**2 + 24*w**3 - 25*w**3 + 679*w as p*w**3 + n*w + u*w**2 + r and give p. -1 Express -5*r + 67*r**2 + 25*r**3 - 54*r**3 + 132*r**2 + 27*r**3 as f + v*r**3 + a*r + s*r**2 and give s. 199 Express 0 + 0 - 46526*c + 41339*c as j*c + h and give j. -5187 Rearrange 869651 - 869651 + 8988*r to the form m + i*r and give i. 8988 Rearrange -6624 + 15*j**4 - 14*j**4 - 22*j**2 + 6620 + 84*j**2 + 8*j to d*j + a*j**2 + t*j**3 + o + m*j**4 and give m. 1 Express -5*m**2 - 5*m**2 + 3*m**2 + (22*m**2 - 3 + 3)*(21 + 112 - 31) in the form s*m**2 + n + z*m and give z. 0 Rearrange -944*w**2 + 1364*w**2 + 2797*w**2 + 114*w**2 + 3060*w**2 to a*w + x + y*w**2 and give x. 0 Rearrange p**2 + 908 + 890 + 895 - 2588 - 2*p to b*p + o*p**2 + i and give i. 105 Express 167*z**2 - 146*z**2 - 24*z**2 - 2*z + 1008*z**3 - z**4 + 2*z - 1 in the form u*z**2 + y*z**3 + s*z**4 + p + g*z and give p. -1 Rearrange 826 + 3*x + 205959*x**3 + 518 - 205960*x**3 to v + p*x**2 + y*x + u*x**3 and give u. -1 Express 12848 - m**3 + 12*m**2 - 5*m + 3*m**3 - 12849 - 3*m**3 in the form a + h*m + t*m**3 + c*m**2 and give h. -5 Express 1 + 1421854*n**2 - 1422223*n**2 - 3 - n as z + j*n + x*n**2 and give j. -1 Express (-2*t + 4*t - t - 2)*(3*t + 4*t - 5*t) + 2*t**2 - 2*t**2 - 4*t**2 + (-4 + 5*t + 4)*(3*t + 0*t - t) in the form p + w*t**2 + v*t and give v. -4 Rearrange -696*z + 8626 - 8626 to the form y + x*z and give x. -696 Express (3 + 0 + 3)*(i - i + 3*i)*(166*i - 21919 + 21919) as p*i + c + y*i**2 and give y. 2988 Rearrange -2*j - 10 - 4 + 4 - 268 - 3*j + 4*j + 189 + (0*j - j + 0*j)*(3 - 1 + 0) to the form m + w*j and give w. -3 Express -2*h - 133*h**3 + 118*h**3 - 7381*h**4 + h**2 + 7355*h**4 as t*h + b*h**3 + l + o*h**2 + s*h**4 and give o. 1 Rearrange (-6*g + 3*g + 2*g)*(11 + 8 - 7) + 2*g + g - 5*g + 4*g - 5*g - g + 5 - 19*g + 40*g - 16*g to the form p*g + m and give m. 5 Express (-358 - 1615 - 212 - 2244)*(l + 0 + 0) in the form h + q*l and give q. -4429 Express (-3*u + 4*u + 2*u)*(-766*u - 48 - 66 + 191 - 54 - 42) as b*u + l + j*u**2 and give b. -57 Express -t + 2*t - 3*t + (3 - 3 - 1)*(-t - 3*t + t) + 122*t + 159*t - 312*t as s*t + f and give s. -30 Rearrange (-1321 - 878 + 1095 - 1417)*(2*f + 1 - 1)*(3 + 3 + 7)*(2 + 1 + 0) to the form g + p*f and give p. -196638 Express 111*j - 807*j + 1619*j in the form u + w*j and give w. 923 Rearrange (2*x + 0*x - x)*(-1970 - 2087 + 2836) to the form o + b*x and give o. 0 Rearrange -15 + 289*i - 95*i - 5 - 167*i to the form k*i + r and give k. 27 Rearrange (-s - 3*s + 3*s + (1 - 2 + 3)*(-2*s - 4*s + 0*s))*(1615 - 3176 + 1690) to the form h*s + r and give h. -1677 Rearrange -348118 + 348118 - s**3 - 647*s to the form i*s**2 + m + h*s**3 + b*s and give m. 0 Rearrange c**3 - 16*c**2 - 47 - 4 + 12 + 184 to the form l + v*c + q*c**3 + p*c**2 and give q. 1 Express (-7480 + 6370 + 7855 + 9589 + 7574)*(2*v**4 + 0*v**4 - 3*v**4) as y*v**2 + j + z*v + p*v**4 + l*v**3 and give p. -23908 Express (-729 - 553 + 321)*(2*u + 58*u - 8*u)*(5*u - u - 3*u) as h*u + z + c*u**2 and give c. -49972 Rearrange 2*p**4 + 4075*p + 2 + 35*p**3 - 8158*p + 4079*p to l*p**3 + r*p**2 + y*p**4 + d*p + w and give w. 2 Express 336 + 12*q**2 + 355 - 1002 + 475 as p + u*q + c*q**2 and give c. 12 Rearrange -3 + 3*a + 3*a - 9*a + (-18 + 11 + 13)*(0*a + 2*a - a) to t + x*a and give t. -3 Rearrange 751 + 702*i**2 + 3004*i**2 - 751 to u + p*i**2 + a*i and give p. 3706 Express 12*w**2 - 68*w**3 + 110 + w + 38 - 153 as c*w**2 + x*w + r*w**3 + y and give y. -5 Rearrange (0*r - r + 3*r)*(111*r + 122*r - 258*r)*(9 - 15 - 15)*(-r - r + r) to g*r**2 + h*r + v + y*r**3 and give y. -1050 Rearrange -322*i + 44*i**2 - 13*i**2 - 16*i**2 - 11*i**2 - 13*i**2 to m + u*i + f*i**2 and give u. -322 Express (1333*o**2 + 1057*o**2 - 541*o**2)*(5*o + o - 2*o) as y*o**2 + r + z*o**3 + d*o and give z. 7396 Rearrange -11*w**3 + 27*w - 5*w**3 - 33*w**2 - 78*w**2 + 21*w - 49*w to a*w**2 + s*w + m*w**3 + y and give m. -16 Express 2*b**3 - 18*b**2 + 98*b**4 - 5*b**4 + 35*b**2 - 6 - 19*b**2 - 3 in the form k*b**4 + l*b + f*b**3 + c*b**2 + m and give c. -2 Express (-191 - 5*t + 18*t - 12*t)*(2*t + 14 - 14)*(t + 0 + 0) in the form n*t + p*t**2 + i + g*t**3 and give g. 2 Rearrange -1423*g + 1259*g**2 - 405*g + 109*g - 1261*g**2 to q*g**2 + j + c*g and give c. -1719 Rearrange 2*k**2 + 7*k**3 - 2 - 8*k**3 + 47*k + 1345*k**4 + 1352*k**4 - 2698*k**4 to the form a*k + b + p*k**2 + z*k**4 + d*k**3 and give d. -1 Express (0*h**4 + 2*h**4 - h**4)*(-1 - 1 + 1) - h**4 + 28556 + 51*h**2 - 57101 + 28546 - 5*h + 3*h**3 as f*h**3 + s*h + y + v*h**4 + z*h**2 and give y. 1 Express 6 + 89*o**3 + 34*o**3 + 12*o**3 + o**4 - o - 1 - 22*o**3 in the form t + w*o**2 + y*o**3 + p*o + d*o**4 and give p. -1 Express 13*h + 0*h + 2*h**2 + 235778 - 235931 as z*h**2 + r*h + k and give r. 13 Rearrange -165*d + 65*d + 70*d - 64 + 41*d to k*d + m and give m. -64 Rearrange (2 + 0 - 3)*(12*c**2 - 12*c**2 - 7*c**2) + (6*c - c - 9*c)*(5*c - 5*c - 3*c) to the form i*c + x + y*c**2 and give y. 19 Express -410*c**2 + 3157 - 1055 - 1055 - 1047 in the form y*c**2 + w*c + v and give y. -410 Rearrange -19*q**2 - 24*q**2 - 623*q - 6 + 622*q + 19*q**2 to the form f*q**2 + j*q + y and give j. -1 Rearrange (-1433*i + 225*i + 370*i)*(-9 - 3 - 9) to the form r + k*i and give k. 17598 Express (-660 + 10 - 192 + 74)*(100 - 100 - 35*i**3) in the form g*i**2 + u*i**3 + h*i + t and give u. 26880 Rearrange (5*t**3 + 1 + t**2 - t**2)*(-212651*t + 213113*t - 3 - 2) to u + w*t**3 + f*t**2 + x*t**4 + r*t and give x. 2310 Rearrange (10382*s - 13 + 37 - 16 - 8)*(4 + 2*s - 4) to p*s**2 + g + b*s and give p. 20764 Express 11442 - 11442 - 160*s**4 + (0 - 1 + 3)*(2*s**4 + 0*s**4 - 3*s**4) + 0*s**4 + 3*s**4 + 5*s**4 in the form v*s**2 + d*s**3 + j + i*s + q*s**4 and give q. -154 Rearrange 862*c - 1652*c - 3372*c to the form b + w*c and give b. 0 Rearrange -4094*v - 5555*v - 2 + 995*v + 2 to the form u*v + b and give u. -8654 Express -180*b**2 - 16403*b**3 + 16402*b**3 + 13*b**2 - 3*b in the form i*b**2 + j + p*b**3 + z*b and give p. -1 Rearrange (o - o - 2*o)*(13 + 16 - 1)*(-2*o - 5*o + 5*o) to the form s + k*o**2 + i*o and give k. 112 Rearrange 50835*v**2 + 100 - 50837*v**2 + 247 to w*v**2 + z*v + t and give w. -2 Express (200*l + 1327*l + 425*l)*(-5*l + l + 0*l) in the form n*l**2 + c*l + w and give n. -7808 Rearrange 67*w + 11*w - 25*w + 22*w + 73*w to the form l*w + o and give l. 148 Rearrange (0 - k + 0)*(193 + 46*k + 326 - 45*k)*(0*k - 2*k + 0*k) - 17*k + 17*k + 4*k**3 to the form o + y*k**2 + c*k**3 + z*k and give y. 1038 Rearrange 30*l + 36366*l**4 - 26*l + 23 - 36357*l**4 to b*l**3 + c*l**2 + q + o*l + w*l**4 and give q. 23 Rearrange 289*t - 2*t**3 - 8 - 2*t**3 - 44*t**2 + 7*t**3 - 287*t to z*t + u + s*t**3 + h*t**
{ "pile_set_name": "DM Mathematics" }
osest to 3/5 in -8, 2, -4, 4? 2 Which is the nearest to 1? (a) 2/9 (b) -2 (c) 7 a What is the nearest to 2/11 in -20, -3, 1/2? 1/2 Which is the closest to 4? (a) 2/17 (b) 3/8 (c) 16 (d) -1 b What is the closest to 25 in -0.4, 6, 3/8? 6 What is the nearest to -1/3 in -0.1, 0.5, -2/7? -2/7 Which is the closest to 4/3? (a) -4/7 (b) -0.1 (c) -0.5 b What is the nearest to 10 in -2/67, -3, -2, 4/5? 4/5 What is the closest to 0 in -1/4, -275, -2? -1/4 What is the nearest to 2/5 in -5, 12/5, -3, -7? 12/5 What is the closest to 0 in -5, 235, -0.3? -0.3 Which is the nearest to -122/7? (a) -3 (b) 0 (c) -4/3 a What is the closest to 0.1 in -9, 14, -3, -0.3? -0.3 Which is the closest to 16? (a) -11 (b) 4 (c) -0.1 b Which is the nearest to 4? (a) -3 (b) -12.9 (c) 0 c What is the nearest to 2/7 in 2/17, 5, 2, -0.3? 2/17 Which is the nearest to 1? (a) -9 (b) 2/73 (c) 0.15 c Which is the closest to 2/9? (a) 7/3 (b) -22 (c) 0.3 c What is the nearest to -1 in -3, 0, -1, 172? -1 Which is the nearest to 6? (a) -3 (b) 2/3 (c) 3 (d) -1 c Which is the nearest to 11? (a) 2 (b) -2 (c) 5 c What is the nearest to -0.03 in -0.8, 4, -0.6, 1? -0.6 What is the closest to 1 in -22/5, 0.3, -2/15? 0.3 Which is the nearest to 12? (a) -3 (b) 0.4 (c) -103 b What is the nearest to 0.9 in 0.3, 1, -5, -4/7? 1 What is the closest to -2 in -3/2, 2/5, 16/9? -3/2 Which is the nearest to -2? (a) -14 (b) -2/7 (c) 0.3 b What is the nearest to -2 in -3, -1/2, 3? -3 What is the closest to 0.1 in 0.7, 6, 2/3? 2/3 What is the nearest to 0.15 in -0.3, -1, 3? -0.3 What is the closest to -2/7 in 0.4, 0.3, -1? 0.3 Which is the nearest to 1? (a) -3 (b) 2/5 (c) 246 (d) -4 b Which is the closest to 0? (a) -95 (b) 3 (c) 1 (d) 0 d What is the nearest to -0.2 in 1/9, -14, 3, -4? 1/9 What is the closest to 2/3 in 0, -0.2, -133, -2/5? 0 Which is the closest to -0.1? (a) -1257 (b) 0.2 (c) 2 b What is the closest to -3 in -2/15, 0, -20/9? -20/9 Which is the closest to -2/9? (a) -26 (b) 0 (c) 7 b Which is the closest to -24? (a) 5 (b) -0.1 (c) 7 b What is the closest to 0 in -8/9, 2, -5, -0.6? -0.6 Which is the closest to -82? (a) 2/7 (b) -0.2 (c) -2/19 b Which is the closest to -2/5? (a) 0 (b) -9 (c) -4 (d) 0.3 a Which is the closest to 2/5? (a) 1 (b) -14 (c) 0.05 (d) 0.3 d Which is the closest to 15? (a) -4 (b) -0.2 (c) 1/4 (d) 1 d What is the nearest to 1 in -2, -2/7, 11? -2/7 Which is the nearest to 2? (a) 1/6 (b) -3 (c) 2 (d) 3/4 c What is the nearest to 0.1 in -25, 5, -1.1? -1.1 Which is the closest to -6? (a) 3/5 (b) -2 (c) -2/11 b What is the nearest to 2/3 in 2/11, 3, 73? 2/11 What is the closest to 0 in -217, -1, 3/8? 3/8 What is the closest to -1 in -4, -0.6, -1/3, 0.024? -0.6 Which is the closest to 0.1? (a) 0.5 (b) -0.21 (c) -3 (d) -99 b What is the closest to 5/4 in -2, 2/23, 15, -3/8? 2/23 Which is the closest to -4/9? (a) 5 (b) 0.1 (c) 2/19 b What is the closest to 0 in -0.02, 0.5, -3, 0? 0 Which is the nearest to -2/29? (a) -3 (b) -0.1 (c) -1 b What is the closest to -2/9 in 0.2, 8, -0.4, 2/13? -0.4 Which is the closest to -1? (a) -3 (b) 2 (c) 166 a Which is the closest to 1? (a) 2 (b) -0.4 (c) -13 (d) 0.08 d What is the closest to 2 in 0.1, 0.4, 0.2, -7/6? 0.4 What is the nearest to 0.1 in -7, 0, 4, 4/15? 0 What is the closest to 1/2 in -3, 0, 3, 5? 0 What is the closest to -2 in -0.4, -0.2, -5, -11/5? -11/5 Which is the nearest to -12? (a) -0.4 (b) 2/3 (c) 1/6 (d) -7 d What is the nearest to -2 in 4, -0.46, -0.3, 0.06? -0.46 What is the nearest to -1/3 in -56, 0.1, 3/4? 0.1 Which is the closest to 2/5? (a) -3/5 (b) 0.3 (c) 3/214 (d) 3 b Which is the closest to 0? (a) 1 (b) -5/2 (c) 0.5 (d) 3 c Which is the closest to -0.3? (a) 0.2 (b) -2/11 (c) -1 (d) 3/5 b What is the closest to -2/9 in -3, -4, 5, 0? 0 What is the nearest to -1/2 in 3, 0.05, 1/5? 0.05 What is the nearest to 31 in 0.1, 2/7, 3, -0.4? 3 Which is the closest to 1? (a) -2 (b) 2 (c) -5 (d) -6 b What is the closest to 18 in 1, -4, -12? 1 What is the closest to 3 in 0.1, 1/6, -12, 5? 5 Which is the closest to -1/2? (a) 1/2 (b) 2 (c) 0 c What is the nearest to -0.3 in -587, -0.2, 2, 0.3? -0.2 What is the closest to 1.5 in -1/2, 0.18, -3? 0.18 Which is the nearest to -3? (a) 1 (b) -7/2 (c) -5 b Which is the nearest to -1.03? (a) 2/17 (b) 0.3 (c) 0.5 a Which is the closest to 0? (a) -48 (b) -2 (c) 0 (d) -1 c What is the closest to 0 in 0.3, 3/4, 4/5? 0.3 What is the closest to -34 in 2, -0.01, -2? -2 What is the closest to 0.1 in 2/25, -1, 0.4, 5? 2/25 Which is the nearest to 0? (a) -7 (b) -0.3 (c) -0.02 (d) 0 d Which is the nearest to -2/35? (a) 3 (b) -1/4 (c) -1 (d) 5 b What is the closest to -26 in 4, -9, 0.5? -9 What is the closest to 0.08 in 1.3, 0.5, 4? 0.5 What is the closest to 0.1 in 15, -2, -0.5? -0.5 Which is the closest to 2? (a) -5 (b) 0.5 (c) 6 (d) -54 b What is the nearest to 0 in -4, -7/16, -2? -7/16 What is the closest to 1 in -4, 1, 0.11, -1.6? 1 Which is the closest to 1? (a) 45 (b) -0.4 (c) -3 (d) 1 d What is the closest to 11 in -9, 5, -4? 5 Which is the closest to -1? (a) -1 (b) -6 (c) 32 (d) 0.4 a Which is the nearest to -2/5? (a) -1/8 (b) 9 (c) -2/3 c Which is the closest to -9/8? (a) -5 (b) 0.2 (c) -0.4 (d) 2 c Which is the nearest to -2/3? (a) -0.48 (b) 0.3 (c) -3/4 (d) 1/5 c Which is the closest to 0.2? (a) -0.1 (b) 1/4 (c) 4 (d) 5 b What is the closest to -2/7 in -4, 0, -2? 0 What is the closest to -0.1 in 38, 3/5, 2/15? 2/15 Which is the closest to 2/5? (a) 2/5 (b) 0.1 (c) -3 (d) 0.97 a What is the nearest to -0.1 in 3, 5, -2.8? -2.8 Which is the nearest to 1? (a) 5 (b) 2 (c) -1 (d) -35 b What is the nearest to 6 in -0.3, 3, -1, -12? 3 Which is the closest to 1/3? (a) 0.4 (b) 3 (c) -0.06 (d) 1 a What is the nearest to -0.1 in -0.3, -23/24, -3, 0? 0 Which is the nearest to 1? (a) -3 (b) 0.2 (c) 1/3 (d) -0.5 c Which is the closest to 0? (a) 3 (b) 8.7 (c) 0.1 c What is the nearest to 1/4 in -0.2, -5, 2, -1? -0.2 Which is the closest to -0.1? (a) 0 (b) -4 (c) -117/5 (d) 0.5 a What is the nearest to 0.2 in 2, 4/7, 68? 4/7 What is the nearest to -1 in 99, -2/5, 4, 0? -2/5 What is the closest to 1 in -0.3, 5/3, 0.3, 0.44? 0.44 What is the closest to -56 in 1, 4, 3, -4? -4 Which is the nearest to -2/5? (a) -90 (b) 0.3 (c) 0.1 c Which is the nearest to -1? (a) -0.32 (b) 1/4 (c) 17 (d) 0.4 a Which is the closest to -8? (a) 2 (b) -2/9 (c) 0.002 (d) -1/3 d Which is the nearest to -0.2? (a) -4 (b) 15 (c) 2/13 (d) -34 c Which is the nearest to -0.05? (a) -3/10 (b) -2/15 (c) 5 (d) 2 b Which is the closest to 7? (a) 1/5 (b) 6 (c) -2 (d) -3 b Which is the closest to -5? (a) -2/5 (b) 2 (c) -0.6 c What is the nearest to -4 in -12/5, -5/4, 47? -12/5 Which is the closest to -8? (a) 2 (b) 0.2 (c) -0.1 (d) 0.102 c What is the closest to -2/7 in 2, 0.013, -1/9, 0? -1/9 Which is the closest to -1? (a) 13 (b) 0.4 (c) 2/7 (d) -0.44 d Which is the closest to 1? (a) 0.5 (b) -6 (c) 0.64 (d) 0 c What is the closest to 2 in -5, 0.04, -1? 0.04 What is the closest to 0.2 in 1/6, 4, 2/7? 1/6 Which is the nearest to 40? (a) 58 (b) -0.5 (c) 0.1 a What is the nearest to -0.1 in 5, -5.1, 0.1, 0.3? 0.1 Which is the nearest to 1/2? (a) 5 (b) 0.5 (c) 0.3 b What is the nearest to -4 in -2/13, 3, -9? -2/13 Which is the nearest to -22? (a) 8 (b) 11 (c) 0.5 c Which is the closest to -1? (a) -41 (b) -1 (c) -4 b Which is the nearest to 0? (a) 2 (b) 1.5 (c) 6 b Which is the closest to -1/3? (a) 4 (b) 1/3 (c) 10 (d) 0.5 b Which is the nearest to -1/4? (a) -1/21 (b) 0.4 (c) -0.2 (d) 0 c Which is the nearest to 0? (a) 0 (b) 5 (c) 2 (d) 4/7 a Which is the nearest to 1/6? (a) 2 (b) -3 (c) 0.1 (d) 2/7 c What is the nearest to 3 in 1/3, 2, -0.07? 2 Which is the nearest to 0? (a) -3 (b) -2/19 (c) 4 b What is the nearest to 0.1 in 0.5, -30, 4, -4? 0.5 What is the closest to -1 in 2/5, -5, -0.5, 0.5? -0.5 Which is the closest to -2/7? (a) -21 (b) -0.79 (c) -0.5 c Which is the closest to 0.1? (a) 1/10 (b) 30 (c) 1 (d) -4 a Which is the nearest to -2? (a) 12 (b) 1/2 (c) -3 (d) 1.2 c What is the cl
{ "pile_set_name": "DM Mathematics" }
f = -4*s - 2 for f. 3 Solve -5*x = -r - 7, 5*x = 4*r + 3*x + 10 for r. -2 Solve -3*r + f - 32 = -35, -4*r + f = -5 for r. 2 Solve -d + 3 = -v, 5*d - 16 = -2*v + 6*v for v. 1 Solve a - 3*l = -7, 2*a - 4*l + 11 = a for a. 5 Solve 2*p - 2 = -3*w, 0 = -0*w - w + 2 for p. -2 Solve 0 = 127*v - 130*v + 2*t + 7, 0 = -4*v - 4*t + 16 for v. 3 Solve -40*o + 41*o = 2*x, -3*x + 4*o = -10 for x. -2 Solve 4*w - w - 2*a - 5 = 0, 2*a = -2*w - 10 for w. -1 Solve -3*g - 4*w + 2*w + 1 = 0, g - 9 = -5*w for g. -1 Solve -7*x + 6*x = -3*o + 12, 3 = 3*o + 2*x for o. 3 Solve -3*t + 4*v - 7 = 0, -3*v + 2 = -1 for t. -1 Solve -2 = v, -3*o = -o - 2*v for o. -2 Solve 0 = 3*l + 3*s - 15, 4*l - 5*s = 7*l - 25 for l. 0 Solve 5*a = 3*u - 25, -15 = 3*a - u - 0*u for a. -5 Solve 2*f - 4*d + 6 = 0, 6*f - 14 = 2*f - 5*d for f. 1 Solve -2*w - 2*m = -w + 11, 0 = -4*w - 4*m - 32 for w. -5 Solve -2*i - 5*p = 5 + 10, i + 10 = -5*p for i. -5 Solve 0 = -4*o - 3*g, 0 = 5*o - 4*g - 44 + 13 for o. 3 Solve -2*d = -2*o, 5*d = -o + 4*d for o. 0 Solve -5*v + 4*w = -5 - 4, -w = -v + 2 for v. 1 Solve 3 = -o + 2, 2*o = 2*p - 2 for p. 0 Solve -1 = l - 0, 4*c + 5*l - 3 = 0 for c. 2 Solve -5*p - 14 + 29 = 5*q, p = -5*q + 7 for q. 1 Solve -3 = -3*c - 2*s, 17*c - 11*s = 22*c + 18 for c. 3 Solve -5*z = -j, -39*j + 41*j + 5*z + 15 = 0 for j. -5 Solve 0 = 103*n - 104*n - 4*v + 23, 2*v + 5 = 5*n for n. 3 Solve -2*o - 36 = -5*u - 7, -4*o - 4*u + 12 = 0 for o. -2 Solve -19*b - 5*l = -14*b - 5, -b = -l - 1 for b. 1 Solve -4*n + 3*n + 5 = h, -2*h = n - 7 for n. 3 Solve 0 = w + 2*c + 8, 12*w = 7*w - 4*c - 10 for w. 2 Solve -4*x + 2*a + 7 = -1, 0 = -5*x + 2*a + 10 for x. 2 Solve 3*h = 4*o + 9, 279*o - 281*o - 9 = 3*h for h. -1 Solve -2*k + 6*k + 16 = -2*j, 0 = 4*j - k - 13 for j. 2 Solve 5*v - 4*t - 32 = 0, 2*v - v - t = 7 for v. 4 Solve -5*a - 17 = 4*h, a = -h + 2*a + 7 for h. 2 Solve -4*x - 11 = -s - 0*s, -22 = 3*x + 2*s for x. -4 Solve -19 = -4*n - 3*d, 2*n = -7*d + 3*d + 12 for n. 4 Solve -3*s = -2*a + 2, -3*s + 24 = s + 4*a for s. 2 Solve 4*b + z = 21, b + 2*z = 7*z for b. 5 Solve -4*w = -4*z - 32, 7*z + 31 = 5*w + 11*z for w. 7 Solve 24*p = -2*n + 27*p + 15, -5*n - p + 12 = 0 for n. 3 Solve x - 5 = 0, -d + 23*x = 28*x - 28 for d. 3 Solve 3*m + 2*g + 7 = 0, -2*m + 20 = -3*g + 3 for m. 1 Solve -2*p - 3*r + 12 = 0, 9*p - 6*p - 3*r - 3 = 0 for p. 3 Solve -10 = 2*j - 2*o, 4*j + 33*o + 8 = 31*o for j. -3 Solve 3*w = 2*x + 1, 5*x + 5*w - 17 = -7 for x. 1 Solve -2*x + 0*j + 3*j + 5 = 0, 5*x + 35 = -2*j for x. -5 Solve 12*d = 14*d + 4*p - 8, 0 = 4*p - 16 for d. -4 Solve 0 = -2*t + 3*x - 1, -3*t + 3*x - 8*x = 30 for t. -5 Solve k = -5*q - 20, k - q - 4 = -2*k for k. 0 Solve 0 = 3*v + 2*a - 14, 4*a = 6*a - 2 for v. 4 Solve 4*z = 2*z - 3*m + 1, 5*z + 2*m + 14 = 0 for z. -4 Solve 4*w - 2*w = -3*j + 18, -3*w = -9 for j. 4 Solve -3*w + 4*k = 9, -4*w + 5*k + 0*k = 11 for w. 1 Solve -4*z = -5*m - 21, -2*m - 12*z - 12 = -10*z for m. -5 Solve 2*v - 38*q + 37*q = 7, v = -3*q for v. 3 Solve 3*o - a + 0 = 1, a = 2 for o. 1 Solve -9 = -2*w - 3*p, 3*w - 9 - 6 = -5*p for w. 0 Solve f + 11 = -s + 5*s, 4*f - 4*s - 4 = 0 for f. 5 Solve 5 + 1 = i + 5*v, 2*i + 3 = 5*v for i. 1 Solve -4*q - 2*z - 192 = -174, -5*q = 3*z + 20 for q. -7 Solve -6 = -3*g, 0 = -8*v + 6*v + 5*g - 20 for v. -5 Solve b - 2 + 6 = 3*o, -o + 4*b = -5 for o. 1 Solve 12 = -5*l + 2, -3*l - 12 = 3*n for n. -2 Solve 2*p = f - 2, 3*f = -p - 49 + 62 for p. 1 Solve -4*z = -2*m - 8, 5*m + 25 = 7*m + 7*z for m. 2 Solve 0 = 5*b + 5*u, -4*b + 9*u = 4*u - 9 for b. 1 Solve 0 = -y + 3*y + 5*p + 23, 3*p = -5*y - 10 for y. 1 Solve 3*b - 2*w = 9, -5*b + 5*w = 15 - 30 for b. 3 Solve 8*u = m + 3*u - 1, 3*m - 5*u - 3 = 0 for m. 1 Solve -5*t = -25, 3*s - 59 + 41 = -3*t for s. 1 Solve 5*q - 4*j + 1 = -1, 0 = -2*q - 5*j - 14 for q. -2 Solve 24*b - 27*b = -5*t - 5, 2 = 3*b - 2*t for b. 0 Solve -5*k = 5*u - 5, -19*u - k = -22*u + 19 for u. 5 Solve -4*g + 5*a = 13, 22*a - 21*a + 1 = 2*g for g. 3 Solve 4*m + 0*g = -2*g + 14, 3*m - g = 3 for m. 2 Solve 19 - 54 = 5*z - 4*u, -u = 2*z - 12 for z. 1 Solve 0 = 3*w + 5*p + 19, 2*w - 3*p - p = 24 for w. 2 Solve -4*u = -5*z - 30, -676*u = -679*u - 2*z + 11 for u. 5 Solve -5*p + 4*l - 1 = 0, 76*l = -p + 73*l - 4 for p. -1 Solve 3*d - 4 = -3*l + 17, -3*l = d - 15 for l. 4 Solve 3*k + 3*d = 4 - 10, -20 = 4*d for k. 3 Solve 2*q + 31*y - 8 = 32*y, 3*y + 20 = 4*q for q. 2 Solve 6 = 5*i + 3*f, 0 = i - 3*f - f - 15 for i. 3 Solve -2*a - 7*g = -3*g, 0 = 2*g - 2 for a. -2 Solve -5*u + 9 = 4*t, u + 3*u - 2*t = 2 for u. 1 Solve 0 = 4*z - 3*p + 15, -5*z + 0*z + p = 16 for z. -3 Solve -5*o + 9 = 2*a, 30*o - 33*o + 5 = a for a. 2 Solve -5*s - 4*k + 2 = -38, 2*s - 5*k + 17 = 0 for s. 4 Solve 0 = 2*g + 4, 21 - 5 = 4*q + 2*g for q. 5 Solve 0 = -2*r + 6, -4*s + 17 = 3*r - 0*r for s. 2 Solve 3*p = 4*n - 35, 4*p - n - 5 = 6*p for p. -5 Solve 2*p + 2*q - 8 = 0, 9*q - 7*q = -p + 9 for p. -1 Solve 4 = 2*j + 4*o, -2*j + 4*o + 9 = 3*o for j. 4 Solve y + 2*w = -57 + 65, 2*y = 2*w - 2 for y. 2 Solve -3*b + 2*d + 15 = 0, 0 = 5*b - 2*d - 2*d - 27 for b. 3 Solve 18 = 2*v + 2*h, 2*h - 7*h + 25 = 0 for v. 4 Solve 5*t - 12 = 2*c, 5*t - 14 = 3*c - 1 for t. 2 Solve -g = 5*x - 15, g - 1008*x = -1006*x - 6 for g. 0 Solve 3*h - 5*j - 189 + 169 = 0, 0 = -h + 5*j + 10 for h. 5 Solve 5*q = q + 3*u + 3, 0 = -4*q - u - 1 for q. 0 Solve 0 = 2*g + 3*p + 1, -g - 4*p + 9*p = 20 for g. -5 Solve -3*p + 6 = 2*c - 9, 5*c + p = 5 for c. 0 Solve 5*f + 2*i + 3 = 16, -3*i = 5*f - 17 for f. 1 Solve -4*h + 5*o + 30 = 0, -3*h + 7 = 20*o - 16*o for h. 5 Solve 0 = 5*b + o + 5, 13*b - 5*o = 10*b - 3 for b. -1 Solve -2*i - 3*c + 13 = -6*c, -3*c = -4*i + 23 for i. 5 Solve -41*o + 40*o + 3*c = 8, -36 = -5*o - 4*c for o. 4 Solve 3*b + 24*i + 18 = 25*i, -4*b = -5*i + 35 for b. -5 Solve 0*m - 11 = y - 4*m, -m = 4*y - 7 for y. 1 Solve 3*h - 4*v - 11 = 0, 3*h + 16 = -2*v - 3 for h. -3 Solve 0 = 3*z - 2*z + 3, 5*z + 9 = 2*s for s. -3 Solve -4*t + 3*t = -3*b - 3, -5*t = 2*b + 19 for t. -3 Solve 4*y + 12*m - 11*m - 15 = 0, -3 = 3*y - 4*m for y. 3 Solve -5*b = -2*i - 12 + 18, -4*i + 2*b + 12 = 0 for i. 3 Solve -i = 4*t + 16, -5*i + 18 - 32 = -2*t for i. -4 Solve -28*s = -u - 25*s - 11, 4*u - 5*s = -23 for u. -2 Solve 0 = 5*v - 5*m + 35, -439*m = -4*v - 437*m - 24 for v. -5 Solve 0 = 5*p - 4*l + 6, -4*p = 3*l + 157 - 146 for p. -2 Solve 5*c = u - 25, 2*u = -44*c + 47*c + 22 for c. -4 Solve 2*x = 5*s - s + 10, -x = 2*s + 11 for x. -3 Solve 10*l - 5*r - 7 = 12*l, 28 = 4*l - 4*r for l. 4 Solve 3*d + 0*d + 8 = -5*n, -2*n - 4 = d for n. -4 Solve j - 11 = 4*b - 7, 5*b + 5*j = -5 for b. -1 Solve -a - 4*a = 3*n - 20, -3*a = n - 8 for a. 1 Solve -b - 6*l + 18 = 0, b + 3*b - 3*l = 18 for b. 6 Solve i - 5 = 13*z - 14*z, -5*z - 26 = -12*i for z. 2 Solve -w + 4*n - 1 = 16, 5*n = -4*w + 16 for w. -1 Solve -4*g + 3*f = -0*f + 23, 0 = -2*g + 4*f - 24 for g. -2 Solve 4*b + 3*x = 10, -4 = -3*b + 5*x + 18 for b. 4 Solve -h - 11 = -3*w, 5*w + 21 = 3*w - 5*h for w. 2 Solve -o = -2, 0 = -2*c - 0*c - 5*o + 16 for c. 3 Solve 0 = 5*p - 5*f + 25, -4*f = 3*p - 3*f + 11 for p. -4 Solve 5*g + 10 + 9 = -3*j, 4*g - j = -5 for g. -2 Solve -4*d = -4*i + d + 21, 2*d + 2 = 0 for i. 4 Solve 25 = -5*t - v, 280 = -3*t + 4*v + 288 for t. -4 Solve 5*h - 5 = 0, 70*p - 73*p + 3*h + 6 = 0 for p. 3 Solve -3*x + 5*k + 17 = 0, 0 = -x - 2*x - 3*k - 15 for x. -1 Solve -5*w + 13 = 4*r, -r + 5*w - 34 = -6 for r. -3 Solve 2*v + 10 = 0, -v + 1 = 5*d - 4 for d. 2 Solve l = 3*z + 3, 4*z + 3*l + 0 = -4 for z. -1 Solve -2*u - 12*y + 9*y - 12 = 0, 8 = -4*y for u. -3 Solve -5*p - 15 = -2*t, 0*t = p - 5*t + 3 for p. -3 Solve 0 = -3*d - 3*y + 12, -6*d = -8*d + 4*y + 8 for d. 4 Solve -13*h = y - 12*h + 5, -4*y - 2*h = 14 for y. -2 Solve g = -2, -44*y = -39*y - 4*g - 33 for y. 5 Solve -2*m - 3*m + 4*i = 0, m - 29 = -5*i for m. 4 Solve h = -d + 1, 0 = -2*d + 75*h - 78*h + 3 for d. 0 Solve 0 = 5*l - 5*r, -3*r = l - 0*r - 16 for l. 4 Solve 5*i - 4*g = 13, 2*g = 4*i - 0*g - 8 for i. 1 Solve q = -4*j - 11, 2*q + q = 3*j + 27 for j. -4 Solve 0 = 3*n + 3*c + 9, n + 3 = -7*c + 8*c for n. -3 Solve 4*g + 26 = 5*p, -2*p + 4*g = -6*p - 8 for p. 2 Solve 5*x = -o + 29, -o + x = -x + 6 for o. 4 Solve 0 = -4*h - 4*n - 20, h = 5*h - 2*n + 2 for h. -2 Solve -30 = x - 4*b, 27*x - 3*b + 18 = 24*x fo
{ "pile_set_name": "DM Mathematics" }
600 What is eleven quarters of a millennium in decades? 275 What is 8178.804 tonnes in grams? 8178804000 Convert 18246.22 years to months. 218954.64 How many years are there in 78115.92 decades? 781159.2 Convert 308416.1 minutes to seconds. 18504966 How many millimeters are there in 43/2 of a meter? 21500 What is 1230.344us in seconds? 0.001230344 How many decades are there in 29/5 of a millennium? 580 What is 44/5 of a litre in millilitres? 8800 What is 88143.16 millennia in years? 88143160 What is five quarters of a litre in millilitres? 1250 How many centimeters are there in 0.3159907nm? 0.00000003159907 Convert 1682.672 litres to millilitres. 1682672 How many months are there in 17/4 of a decade? 510 Convert 32.7694 years to centuries. 0.327694 How many hours are there in 4/3 of a day? 32 What is 0.3005757 weeks in seconds? 181788.18336 What is 3/5 of a litre in millilitres? 600 What is 18/5 of a tonne in kilograms? 3600 Convert 0.1769192l to millilitres. 176.9192 What is 1/5 of a microgram in nanograms? 200 What is 15.18096 decades in millennia? 0.1518096 How many litres are there in 61.1335 millilitres? 0.0611335 Convert 2.986192 decades to centuries. 0.2986192 How many millilitres are there in fifty-three fifths of a litre? 10600 What is 3/25 of a gram in milligrams? 120 What is 0.7009914ng in milligrams? 0.0000007009914 How many micrometers are there in thirty-two fifths of a millimeter? 6400 How many millilitres are there in 29472.19 litres? 29472190 What is one quarter of a litre in millilitres? 250 How many minutes are there in 7/15 of a hour? 28 How many milligrams are there in 1/20 of a kilogram? 50000 How many minutes are there in 0.8417973us? 0.000000014029955 Convert 24646.34mg to grams. 24.64634 What is thirteen fifths of a millennium in years? 2600 What is seven sixteenths of a millennium in months? 5250 How many minutes are there in 7/8 of a day? 1260 How many centimeters are there in 23363.44 kilometers? 2336344000 What is five eighths of a meter in millimeters? 625 How many years are there in 3/50 of a century? 6 What is one twentieth of a litre in millilitres? 50 Convert 668278.5 weeks to nanoseconds. 404174836800000000000 How many micrometers are there in twenty-nine fifths of a centimeter? 58000 What is 22313.85 centimeters in meters? 223.1385 How many seconds are there in 891562.7 days? 77031017280 How many milligrams are there in 2.951638 tonnes? 2951638000 What is one quarter of a gram in milligrams? 250 What is 25/4 of a century in months? 7500 What is 21/5 of a litre in millilitres? 4200 How many days are there in 4.6990206 nanoseconds? 0.0000000000000543868125 Convert 4.990858 centimeters to micrometers. 49908.58 What is 8629.893 days in hours? 207117.432 How many litres are there in 761874.9ml? 761.8749 What is six fifths of a micrometer in nanometers? 1200 What is 2/15 of a decade in months? 16 Convert 462.8608 millimeters to micrometers. 462860.8 What is thirty-two fifths of a decade in months? 768 How many nanometers are there in 3/32 of a millimeter? 93750 How many millilitres are there in 3/5 of a litre? 600 Convert 0.6333886 micrograms to milligrams. 0.0006333886 What is 238.6988 nanometers in centimeters? 0.00002386988 What is 54/5 of a day in minutes? 15552 How many milliseconds are there in 21/4 of a second? 5250 Convert 6.6209202ns to hours. 0.0000000000018391445 How many centimeters are there in 132813.1nm? 0.01328131 What is 15/4 of a centimeter in micrometers? 37500 What is 7/4 of a decade in months? 210 How many hours are there in 1.2506427ms? 0.00000034740075 What is twenty-seven fifths of a week in minutes? 54432 What is 8.000435t in kilograms? 8000.435 How many millilitres are there in fifty-one quarters of a litre? 12750 What is 1/4 of a gram in milligrams? 250 How many millilitres are there in 3/40 of a litre? 75 Convert 3.60899nm to millimeters. 0.00000360899 How many meters are there in twenty-one quarters of a kilometer? 5250 Convert 93.25717 tonnes to micrograms. 93257170000000 How many seconds are there in 45/4 of a minute? 675 What is 29/5 of a week in minutes? 58464 How many kilometers are there in 712.8348 meters? 0.7128348 Convert 844.8399 kilometers to meters. 844839.9 What is 7/8 of a millisecond in microseconds? 875 What is 866587.6 decades in millennia? 8665.876 How many seconds are there in 260.6994 milliseconds? 0.2606994 What is three tenths of a day in seconds? 25920 What is thirteen quarters of a gram in milligrams? 3250 How many millilitres are there in 55/2 of a litre? 27500 Convert 0.9900635l to millilitres. 990.0635 How many micrograms are there in 723077.3 grams? 723077300000 Convert 24.4947 minutes to seconds. 1469.682 How many millimeters are there in twenty-one fifths of a meter? 4200 How many micrometers are there in 12.02228 nanometers? 0.01202228 Convert 461.1241 millilitres to litres. 0.4611241 What is fourty-eight fifths of a litre in millilitres? 9600 What is 8.970933l in millilitres? 8970.933 What is 17/2 of a litre in millilitres? 8500 How many grams are there in 50.98777 kilograms? 50987.77 What is 724362.5nm in micrometers? 724.3625 How many months are there in one sixth of a year? 2 How many months are there in 0.3938326 millennia? 4725.9912 How many minutes are there in 980.2383ms? 0.016337305 Convert 159020.3l to millilitres. 159020300 What is nineteen quarters of a century in months? 5700 What is twenty-one quarters of a century in months? 6300 Convert 72242.19 litres to millilitres. 72242190 What is 11.752 millilitres in litres? 0.011752 What is 3/40 of a micrometer in nanometers? 75 What is five eighths of a millimeter in micrometers? 625 What is 218007.4 litres in millilitres? 218007400 How many kilograms are there in 23.23788g? 0.02323788 What is 1/20 of a millennium in decades? 5 What is 22/15 of a century in months? 1760 How many millilitres are there in 98437.76l? 98437760 How many nanograms are there in 9/10 of a microgram? 900 How many millilitres are there in 3645.209l? 3645209 How many milligrams are there in eighteen fifths of a gram? 3600 What is 1/5 of a second in milliseconds? 200 Convert 35.8813 litres to millilitres. 35881.3 What is seven eighths of a microgram in nanograms? 875 What is 5/4 of a centimeter in micrometers? 12500 Convert 83870.8l to millilitres. 83870800 What is 8.52245 weeks in days? 59.65715 How many meters are there in 17/4 of a kilometer? 4250 Convert 141650.712 hours to weeks. 843.159 How many decades are there in twenty-one fifths of a millennium? 420 How many milligrams are there in 99.24253 tonnes? 99242530000 What is 461820.5 minutes in microseconds? 27709230000000 What is 400.7433 millilitres in litres? 0.4007433 What is nine tenths of a hour in seconds? 3240 What is seven halves of a decade in months? 420 How many millilitres are there in 61/2 of a litre? 30500 What is 6316.664l in millilitres? 6316664 How many millennia are there in 2.114705 decades? 0.02114705 What is 45/8 of a gram in milligrams? 5625 How many micrometers are there in 15/4 of a centimeter? 37500 What is 3/10 of a gram in milligrams? 300 What is fifty-four fifths of a micrometer in nanometers? 10800 How many micrograms are there in one tenth of a gram? 100000 What is 5/8 of a millennium in months? 7500 What is 1.578505km in centimeters? 157850.5 How many days are there in 36442.27 weeks? 255095.89 How many milligrams are there in 0.9846674 nanograms? 0.0000009846674 How many litres are there in 6.188676 millilitres? 0.006188676 What is one tenth of a millimeter in nanometers? 100000 How many millilitres are there in 11/10 of a litre? 1100 What is 0.1345367 millilitres in litres? 0.0001345367 Convert 4.428464 millennia to years. 4428.464 What is eight thirds of a hour in minutes? 160 How many grams are there in 81.59952 milligrams? 0.08159952 How many litres are there in 173760.2ml? 173.7602 How many meters are there in twenty-five quarters of a kilometer? 6250 Convert 421.47ug to nanograms. 421470 What is 640.7622 centimeters in nanometers? 6407622000 How many litres are there in 95.3581ml? 0.0953581 Convert 89.55429 kilograms to tonnes. 0.08955429 How many micrograms are there in 44336.07kg? 44336070000000 What is 3/25 of a kilogram in gr
{ "pile_set_name": "DM Mathematics" }
7 + -14 + 11 and -13/5. 35 Calculate the least common multiple of 9/2*7/((-84)/(-40)) and 12. 60 Let m be (-20077)/(-10 - (-2)/2). Let s = -2227 + m. Find the common denominator of s and 109/10. 90 Let g be 3*(2 + 5 + -2). Let h be 6/g + (-2768)/(-5). Calculate the common denominator of h/48 + (-6)/9 and -77/10. 40 Suppose 0 = -2*v, 4*a - 15 - 177 = -2*v. Calculate the least common multiple of 15 and a. 240 Let c(t) be the third derivative of t**4/24 + 11*t**3/3 + 3*t**2. Calculate the least common multiple of c(0) and 10. 110 Suppose -o + 2*t + 3*t = -729, -4*o + 2*t = -2934. Let d = -21/62 + -2435/682. Calculate the common denominator of o/(-36) + (-1)/9 and d. 22 Suppose -4*y = y - 90. Suppose 12 = -3*i + 3, 12 = -3*k - 3*i. Calculate the least common multiple of y and 32/k*(-1)/2. 144 Let j = 5 + 3. What is the lowest common multiple of j and 4? 8 Suppose -5*y + 11 - 6 = 0. Let q(c) = -c + 7. Let w be q(6). Let a = w + y. Calculate the least common multiple of a and 3. 6 Suppose -6*v + v - 5 = 0. Let k be 2/v + 2504/522. Let d = 268/29 - k. Calculate the common denominator of 40/9 and d. 9 Let s = 1499 - 16476/11. Calculate the common denominator of -21/8 and s. 88 Calculate the common denominator of (104/30)/(2/3) and 2/9. 45 Let f = -265/82 + 5127/2132. What is the common denominator of 33/4 and f? 52 Let z be ((-36)/(-14))/((-6)/(-42)). Suppose g - z = 4. Suppose 6*k - k + 4*n - 26 = 0, 5*k + 3*n - g = 0. What is the least common multiple of k and 10? 10 Let d = 2074/9 - 238. Calculate the common denominator of 34/((-22)/(-2 - -4)) and d. 99 Suppose 2*a + 4*z = 1 + 23, -5*z = -5*a. What is the smallest common multiple of ((-3)/a)/(5/(-120)) and 4? 36 Let i be 3*((-1)/(-3))/(-1). Let p be (i + 0)/((-2)/40). Find the common denominator of (p/6)/(16/(-114)) and 61/8. 8 Suppose 17*y + 712 = 100. Suppose 3*v + r - 2 = 6*v, 2*r - 10 = 0. Calculate the common denominator of -103/24 and -3 + v - (-2)/y. 72 Let y = 9695243/10 - 971106. Let p = y + 1579. Calculate the common denominator of p and (-471)/(-60) + 4/10. 20 What is the common denominator of -25/21 and (3 - (-835)/(-100))/((-12)/10)? 168 Suppose -5*p - 27 = g + g, -3*g = p + 8. Let z = 16 - 6. What is the lowest common multiple of p/(10/(-12)) - -2 and z? 40 What is the common denominator of -119/20 and -4 - -2 - (0 - (-315)/(-48))? 80 Find the common denominator of -77/4 and (-4)/2 - (-65)/9. 36 Let i(v) = 5*v + 98. What is the lowest common multiple of 23/2 - 2/(-4) and i(-18)? 24 Let x(l) = -l**3 - 9*l**2 + 9. Suppose 3*w - 5 = -32. Calculate the least common multiple of 10 and x(w). 90 Let x = -7 + 7. Let z be -130 - (x + (-1)/(-1)). What is the common denominator of 2 + (1 - z/(-16)) and 33/2? 16 Let x = 32 + -15. Suppose -x = -5*b - 2. Suppose 38 = b*j - 16. Calculate the smallest common multiple of 4 and j. 36 Calculate the common denominator of -37/16 and (1 - -1)*116/(-28). 112 Let h = -22 + 32. Calculate the smallest common multiple of h and ((-26)/(-39))/(2 + (-8)/6). 10 Let z(n) = n**3 + 8*n**2 - 9*n + 10. Suppose 5*r - 7 = 8. Calculate the least common multiple of r and z(-9). 30 Let d(k) = k + 16. Suppose 0*t - 2*t + 18 = s, 4*t = -s + 18. What is the lowest common multiple of s and d(0)? 144 Let n = -903 - -9011/10. Let w be (-7 - -1)/(1/(-18)). Calculate the common denominator of 2/(w/69) - 1 and n. 90 Let c = 8 - -1. Calculate the smallest common multiple of 8 and c. 72 Let w = -1789/4 + 463. Calculate the common denominator of 7/16 and w. 16 Let o = -28 + 175/6. What is the common denominator of 67/52 and o? 156 Let c = 33329159133 - 1517076665562617/45518. Let a = c - 8/2069. What is the common denominator of a and -29/4? 44 Suppose 2*v = 4*v - 36. Suppose -v = -5*n + 22. Let c(y) = y + 5. What is the least common multiple of n and c(-4)? 8 Suppose 0 = -4*g + 27 + 13. What is the least common multiple of g and 14? 70 Let f = 2461/6 + -83953/204. Calculate the common denominator of 8/3 and f. 204 Suppose d - 14 - 7 = 0. Suppose -d = -3*t + 21. Calculate the smallest common multiple of t and (-4)/10 + (-72)/(-5). 14 Let l = -3 + 5. Let x(m) be the second derivative of 5*m**3/6 - 3*m**2/2 + m. What is the smallest common multiple of x(2) and l? 14 Suppose 3*m = -4*v - 63, 4*v + 2*m + 70 = -v. Let y be (-4 + 1)/(v/8). What is the common denominator of (2/(-4))/(y/(-66)) and 30? 2 Suppose o - 20 = -8. Calculate the common denominator of -81/20 and 157/o + 18/(-27). 60 Let v = -37/6 + 4. Calculate the common denominator of v and -75/4. 12 Let v = -2/83 + 255/7138. Let y = 23/129 - v. Calculate the common denominator of ((-1)/(-6))/(80/(-1488)) and y. 30 Let h(n) = -7*n + 1. What is the smallest common multiple of 4 and h(-1)? 8 Let h = 10 + 6. Let k(n) = -n**3 - 4*n**2 - 4*n. Let j be k(-3). Suppose -16 = -2*x - 0*x - 4*r, 36 = j*x + 3*r. What is the lowest common multiple of h and x? 16 Suppose -13*d = -10*d - 12. What is the least common multiple of (d + -3)*-1*-8 and (-2)/(-7) + (-80)/(-14)? 24 What is the lowest common multiple of 21 + -6 - (3 - 2) and 8? 56 Let s = -9 - -15. Suppose 4*v = 9 + 7. Calculate the least common multiple of s and v. 12 Let k = 39 - 25. What is the smallest common multiple of k and 14? 14 Suppose 2*b + 4*a = -16, 0*b + 4*b - a = 13. Calculate the lowest common multiple of 4 and b. 4 Let g(u) = u**2 - 8*u + 10. Calculate the lowest common multiple of 84 and g(7). 84 Suppose -5*x + 64 = 2*l, 5*x + 2*l - l = 62. What is the smallest common multiple of 12 and x? 12 Let f(z) = z**2 + 3*z - 4. What is the least common multiple of 12 and f(2)? 12 Calculate the common denominator of 3/2 and 2/(-3)*(-1980)/(-168). 14 Find the common denominator of (-39)/22*(-50)/30 and -139/6. 66 Let y = 2641 + -39586/15. What is the common denominator of y and 161/30? 30 Let i(u) = 2*u**2 - 3*u + 1. Let k be i(2). Suppose -5*w - 25 = 0, 3*j + 1 = -3*w - 8. What is the common denominator of j/k + (-134)/120 and -91/2? 20 Let o(y) = -y + 12. Let b be o(7). Let d = 2 - b. Calculate the common denominator of ((-2)/d)/(32/(-460)) and -103/22. 132 Let g = -2153 - 2450. Let c = 2539 + g. Let n = 16453/8 + c. Find the common denominator of 17/11 and n. 88 Let y(t) = t**2 - 5*t + 6. Let m be y(6). Suppose -m - 8 = -5*j. What is the least common multiple of j and 12? 12 Suppose -4*b + 6*b - 3*k = -301, -2*b = -5*k + 295. What is the common denominator of b/(-25) - 2/(-10) and 16/9? 45 Find the common denominator of (-31)/(-8) + -1*2 and 6/4*10/(-42). 56 Suppose x + 24 = 3*x. Suppose w = -w + 36. Let u = w - x. Calculate the least common multiple of u and 10. 30 What is the common denominator of 17/16 and (18/(-10))/(8/90)? 16 Let v = 4 - -4. What is the smallest common multiple of 12 and v? 24 Suppose -3*m - 108 = -12*m. Let q = 23 + -3. Calculate the least common multiple of m and q. 60 Suppose -2*c + 20 = n, 3*n + 22 = 5*n - 2*c. Let t = 20 - n. Calculate the least common multiple of 2 + (0 - 2/(-1)) and t. 12 Calculate the common denominator of -107/20 and 1/(-3) - 8/(-32). 60 Let w be (-30902)/(-24) - (-2)/(-6). Let f = w + -1262. What is the common denominator of f and 14/(-40) - 1*-1? 20 Suppose 2*d - 10 = d - 2*w, -3*d + 2*w = -54. What is the least common multiple of d and 10? 80 Calculate the least common multiple of 1/(39/(-21) + 2) and 5. 35 Let r = 348489/20 - 17421. Find the common denominator of r and 235/(-42) - 4/(-6). 140 Calculate the least common multiple of 112/21 + 4/6 and 10. 30 Suppose 2*j - 21 = -5. What is the lowest common multiple of j and 34? 136 Let p(u) = u**3 - 4*u**2 - 2*u - 6. What is the smallest common multiple of 12 and p(5)? 36 Let a(x) = -5*x - 4. Let h be a(4). Let i = -8 - h. Calculate the smallest common multiple of 2 and i. 16 Let m(g) = -8*g - 44. Calculate the least common multiple of 16 and m(-8). 80 Let y = 14 - 12. Let n be -2 + 1 + 3 - -34. Calculate the lowest common multiple of (n/10)/((-3)/(-10)) and y. 12 Let o = -38605/8 - -4836. What is the common denominator of 37/6 and o? 24 Let t be 21/(-4) + 2/8. What is the smallest common multiple of 2 and ((-4)/t)/((-1)/(-25))? 20 Let k(r) = r**3 - 5*r**2 + 6*r - 27. What is the smallest common multiple of 16 and k(5)? 48 What is the lowest common multiple of 116/10 - (-20)/50 a
{ "pile_set_name": "DM Mathematics" }
2/5, 2 Put -2, 22, 0, -1 in increasing order. -2, -1, 0, 22 Put 8, 5, -3, -32, -1.8 in increasing order. -32, -3, -1.8, 5, 8 Sort 3/4, 43, 4, -0.5, -27 in increasing order. -27, -0.5, 3/4, 4, 43 Put 1/8, 127, 3/20, 5 in decreasing order. 127, 5, 3/20, 1/8 Put 0, 55, 21, -5, 3, 4 in decreasing order. 55, 21, 4, 3, 0, -5 Sort -2/5, 0.5, -0.449, -3/44. -0.449, -2/5, -3/44, 0.5 Sort 608, 4, -771 in ascending order. -771, 4, 608 Sort -285, -5, -3, 12, 1 in ascending order. -285, -5, -3, 1, 12 Sort 6, -149, 3, -139 in decreasing order. 6, 3, -139, -149 Sort -7, 30, 480. -7, 30, 480 Sort 2/3, 0.0259, -9/11 in descending order. 2/3, 0.0259, -9/11 Sort 67, 27, 866 in descending order. 866, 67, 27 Sort 1, 5/12, -21.5 in descending order. 1, 5/12, -21.5 Sort 23, 54, -1, -21, -6. -21, -6, -1, 23, 54 Sort -1405367, 0, -1 in descending order. 0, -1, -1405367 Sort 1036/31, -3, -1 in increasing order. -3, -1, 1036/31 Put 59, 4, 0.3, -0.04, 5, -5 in ascending order. -5, -0.04, 0.3, 4, 5, 59 Put 0.4, -4485, 1.4, -4 in decreasing order. 1.4, 0.4, -4, -4485 Sort -59482, -5, -1 in decreasing order. -1, -5, -59482 Sort 2, -1, -3, -4, -2, -4759 in increasing order. -4759, -4, -3, -2, -1, 2 Put 6414, -4, -5, 31 in ascending order. -5, -4, 31, 6414 Sort -52, 8, 5, 28 in increasing order. -52, 5, 8, 28 Sort -4, 3, -3, 4, -109, 0. -109, -4, -3, 0, 3, 4 Put -1159, -2, 0, -99 in increasing order. -1159, -99, -2, 0 Sort 14, -12, -5, -1, -3. -12, -5, -3, -1, 14 Sort 11, -3/4, 0, 7.7, 0.2. -3/4, 0, 0.2, 7.7, 11 Sort 2, 23, -11, 3 in decreasing order. 23, 3, 2, -11 Sort -183, 629, 2/9. -183, 2/9, 629 Sort 536, -1, -4, 4 in increasing order. -4, -1, 4, 536 Sort -2, -8, 1, 11, 2 in ascending order. -8, -2, 1, 2, 11 Sort -5/8, -2, -5/3, -0.5, -1, 0.1. -2, -5/3, -1, -5/8, -0.5, 0.1 Put 146, 8, 5, -8 in increasing order. -8, 5, 8, 146 Put -5, -4, -25, -8, 3, 71 in descending order. 71, 3, -4, -5, -8, -25 Sort -0.261, -1/6, -4/3, 1/3 in descending order. 1/3, -1/6, -0.261, -4/3 Put 4, 40, 9806, -2 in ascending order. -2, 4, 40, 9806 Sort -5, 5, 4, 77, 2028 in decreasing order. 2028, 77, 5, 4, -5 Put 1, -2, 81367 in decreasing order. 81367, 1, -2 Sort 3, -11, -20, 4, 0 in descending order. 4, 3, 0, -11, -20 Sort 2, -1, -58, -59, 0, -5. -59, -58, -5, -1, 0, 2 Sort -3, -5, -5930 in descending order. -3, -5, -5930 Sort 2, 275, 621. 2, 275, 621 Put 0, -1, 5, 4, 4597, 2 in ascending order. -1, 0, 2, 4, 5, 4597 Sort 37, 0, -41, 2. -41, 0, 2, 37 Sort 0.5, -586.5, 3, -0.9 in decreasing order. 3, 0.5, -0.9, -586.5 Sort 3, -2332, 12 in ascending order. -2332, 3, 12 Sort -0.4, -0.1, 3/5, 96, 0, 5. -0.4, -0.1, 0, 3/5, 5, 96 Sort -513, -4, 2/3, -22, -2 in descending order. 2/3, -2, -4, -22, -513 Sort -8091, -3, -5 in ascending order. -8091, -5, -3 Sort -191, 0, -10, -2 in descending order. 0, -2, -10, -191 Sort 3, 4, 80, -1, -3 in increasing order. -3, -1, 3, 4, 80 Put -86, -385, 0 in ascending order. -385, -86, 0 Sort -7/4, 0.02, -5/6, -19, -5. -19, -5, -7/4, -5/6, 0.02 Put -86, 7, 19 in descending order. 19, 7, -86 Put 0, 5, 177, 37 in ascending order. 0, 5, 37, 177 Put 2, -1, 3, -15, 45 in decreasing order. 45, 3, 2, -1, -15 Sort 2/105, 1/6, -1/7, 0.07 in descending order. 1/6, 0.07, 2/105, -1/7 Sort -37435, 5, 0, 4, -5 in ascending order. -37435, -5, 0, 4, 5 Sort 2, 17, -5, 181. -5, 2, 17, 181 Sort -663/19, 3, -10/9 in decreasing order. 3, -10/9, -663/19 Sort 18, -23, -3, 0, -19 in ascending order. -23, -19, -3, 0, 18 Sort -3, -446276, -2 in descending order. -2, -3, -446276 Sort 0.1, 1/3, 0, 2/9, 9/8 in ascending order. 0, 0.1, 2/9, 1/3, 9/8 Put -1/39, 5, -0.3 in decreasing order. 5, -1/39, -0.3 Sort -3, -6, -2/3, 3/7, -10.3. -10.3, -6, -3, -2/3, 3/7 Sort -3/7, -4/30909, 0.2, 0.3 in decreasing order. 0.3, 0.2, -4/30909, -3/7 Sort -28312, 2, 1. -28312, 1, 2 Put -8, -34, 0.4, 3 in ascending order. -34, -8, 0.4, 3 Sort 476, -5, 32/13, -0.18 in decreasing order. 476, 32/13, -0.18, -5 Put 2, -24, 5, 0, -66, 3 in descending order. 5, 3, 2, 0, -24, -66 Put -1, 10, 5, -7, -44 in descending order. 10, 5, -1, -7, -44 Sort -2.9, -0.13, -6/7, -5, 0, 10 in descending order. 10, 0, -0.13, -6/7, -2.9, -5 Sort -1, -2, 13, 1, -5, 304 in descending order. 304, 13, 1, -1, -2, -5 Sort -290, -6, -1, -3, 1/3, 0.5. -290, -6, -3, -1, 1/3, 0.5 Sort -3, 1, 2445, 3, -5 in increasing order. -5, -3, 1, 3, 2445 Put 3, -22/3, 3/8, -3, -85 in increasing order. -85, -22/3, -3, 3/8, 3 Sort 0, -3, -5, -13, -7, -4 in descending order. 0, -3, -4, -5, -7, -13 Put -2/9, -0.03, 954 in descending order. 954, -0.03, -2/9 Sort -4, 0.1, 8, 258 in ascending order. -4, 0.1, 8, 258 Sort 2/11, 2/9, 11, 3057, 4 in descending order. 3057, 11, 4, 2/9, 2/11 Put 1, -28, -58, -3, 0.3 in descending order. 1, 0.3, -3, -28, -58 Put 11, -1, -4, -189, 4, 5 in decreasing order. 11, 5, 4, -1, -4, -189 Sort 51133, -5, 3. -5, 3, 51133 Put 4, -5759, 17 in ascending order. -5759, 4, 17 Put 1/4, -1.9, -5/4, -1/5, -25 in ascending order. -25, -1.9, -5/4, -1/5, 1/4 Sort -0.07, 14, -5, -0.4, -11, 0.02. -11, -5, -0.4, -0.07, 0.02, 14 Put -5, -1, -0.144, 8/3 in ascending order. -5, -1, -0.144, 8/3 Sort 153, -1, 0, -4, -2, -14 in decreasing order. 153, 0, -1, -2, -4, -14 Put -45, 1, -445 in decreasing order. 1, -45, -445 Put 0.5, -11, -14, -5, -20, -0.3 in increasing order. -20, -14, -11, -5, -0.3, 0.5 Sort 0, 1, -5, 4, -20. -20, -5, 0, 1, 4 Sort -2/11, 67/94, -1/3, -4/9 in descending order. 67/94, -2/11, -1/3, -4/9 Sort -39, -6/5, 2/11, 0 in descending order. 2/11, 0, -6/5, -39 Put 6, 0, 1491, -1, -5 in descending order. 1491, 6, 0, -1, -5 Put -104, -2, -43 in descending order. -2, -43, -104 Put 93, 2, 4, -6, -3, 5 in increasing order. -6, -3, 2, 4, 5, 93 Put 4, 25703, 2 in descending order. 25703, 4, 2 Sort 1, -15, -4, -30, 137 in ascending order. -30, -15, -4, 1, 137 Put 1, 3, -172, 33, -5, 4 in decreasing order. 33, 4, 3, 1, -5, -172 Sort -7, 2/15, -0.5, -4, 11 in decreasing order. 11, 2/15, -0.5, -4, -7 Put -5/2, -3.55, -2.79 in descending order. -5/2, -2.79, -3.55 Put -15, 42, -1 in increasing order. -15, -1, 42 Sort 23, -1, 4, -5. -5, -1, 4, 23 Sort -5, -0.1455, -518 in descending order. -0.1455, -5, -518 Put -3, 0, -9, -19663, 3, -2 in increasing order. -19663, -9, -3, -2, 0, 3 Put 46, -2, -4, -1, 4 in descending order. 46, 4, -1, -2, -4 Sort -2, 2, -69, 10 in decreasing order. 10, 2, -2, -69 Put -8.5, 13/88, 1/4 in decreasing order. 1/4, 13/88, -8.5 Sort -11, 392, -5 in descending order. 392, -5, -11 Put -634, -27, -5, 5, 0 in decreasing order. 5, 0, -5, -27, -634 Sort 11, -4, -3, -36, 78 in decreasing order. 78, 11, -3, -4, -36 Sort -506, -3, -8, 5, -1 in descending order. 5, -1, -3, -8, -506 Put -5, 4, 18, 1, 0, 49 in ascending order. -5, 0, 1, 4, 18, 49 Sort -4, 207, -1, 4, 12 in ascending order. -4, -1, 4, 12, 207 Put 38, -122/7, -4/5, 0, -0.5 in descending order. 38, 0, -0.5, -4/5, -122/7 Sort 4, -5, -17, 0, -225 in increasing order. -225, -17, -5, 0, 4 Sort 3, 12, 8/303. 8/303, 3, 12 Put 2/9, -2, -209/37 in descending order. 2/9, -2, -209/37 Sort -0.1, -3/1051, -1/8. -1/8, -0.1, -3/1051 Sort 0.3, -3, -5, -0.205, 2/7 in decreasing order. 0.3, 2/7, -0.205, -3, -5 Sort 1, -22, 2, 28, 0, 19. -22, 0, 1, 2, 19, 28 Put 538, -67, 0.2 in decreasing order. 538, 0.2, -67 Put -2, 2, 3, -5, 164 in descending order. 164, 3, 2, -2, -5 Sort -4, -23, 4, -3, -5 in increasing order. -23, -5, -4, -3, 4 Sort 4, 5, -2, 1575 in descending order. 1575, 5, 4, -2 Sort -2, 4, -1, 5561, -5 in descending order. 5561, 4, -1, -2, -5 Sort -87, 1, 0.9, -5, -0.3, 0.25 in descending order. 1, 0.9, 0.25, -0.3, -5, -87 Sort -0.5, 1, 0, 848, 1/6. -0.5, 0, 1/6, 1, 848 Put -6.34, -5, 0.4 in descending order. 0.4, -5, -6.34 Put -5, 2, -9025 in decreasing order. 2, -5, -9025 Sort 3/2, 3/8, 3/20, -0.183, 2/23 in increasing order. -0.183, 2/23, 3/20, 3/8, 3/2 Sort 16, 11, 5, -4, -12. -12, -4, 5, 11, 16 Sort 0.1, 0.494, 4, 1/4, 1/8, -5/7 in decreasing order. 4, 0.494, 1/4, 1/8, 0.1, -5/7 Sort -23, 5269, -3. -23, -3, 5269 Sort 8, 3, 5, -55, 2, -1 in ascending order. -55, -1, 2, 3, 5, 8 Sort -112, 0.3, 2.7, 2 in increasing order. -112, 0.3, 2, 2.7 Sort 5, 0, 108, -4, 45 in increasing order. -4, 0, 5, 45, 108 Sort -15, -36, 1109, -3 in increasing order. -36, -15, -3, 1109 Put -291, -1, -
{ "pile_set_name": "DM Mathematics" }
-668, -677? -9*y - 623 What is the a'th term of 1388, 1346, 1304, 1262? -42*a + 1430 What is the y'th term of -41, -63, -87, -113, -141, -171, -203? -y**2 - 19*y - 21 What is the j'th term of 94900, 94901, 94902? j + 94899 What is the n'th term of -1868, -1830, -1768, -1682? 12*n**2 + 2*n - 1882 What is the p'th term of 222462, 222463, 222464? p + 222461 What is the b'th term of 332, 669, 1010, 1355? 2*b**2 + 331*b - 1 What is the v'th term of -22254, -22201, -22148? 53*v - 22307 What is the y'th term of -211, -233, -299, -433, -659, -1001? -4*y**3 + 2*y**2 - 209 What is the o'th term of 18957, 18954, 18951, 18948? -3*o + 18960 What is the d'th term of -1361, -5382, -12085, -21470? -1341*d**2 + 2*d - 22 What is the z'th term of 568, 1071, 1574? 503*z + 65 What is the v'th term of -81, -190, -313, -450, -601, -766? -7*v**2 - 88*v + 14 What is the i'th term of 4035, 8066, 12097, 16128? 4031*i + 4 What is the l'th term of 14379, 28764, 43169, 57606, 72087, 86624, 101229? 2*l**3 - 2*l**2 + 14377*l + 2 What is the j'th term of -67, -117, -201, -331, -519, -777, -1117? -2*j**3 - 5*j**2 - 21*j - 39 What is the z'th term of -2155, -4454, -6753, -9052, -11351, -13650? -2299*z + 144 What is the q'th term of -569, -1201, -1833? -632*q + 63 What is the a'th term of 185548, 185546, 185544, 185542, 185540, 185538? -2*a + 185550 What is the u'th term of -1818127, -3636254, -5454381? -1818127*u What is the a'th term of 535, 2115, 4739, 8407, 13119, 18875, 25675? 522*a**2 + 14*a - 1 What is the x'th term of -890, -1636, -2376, -3110, -3838, -4560, -5276? 3*x**2 - 755*x - 138 What is the p'th term of 240998, 240999, 241000? p + 240997 What is the y'th term of 2906, 2979, 3198, 3641, 4386? 13*y**3 - 5*y**2 - 3*y + 2901 What is the k'th term of -328, -1139, -1966, -2815, -3692, -4603? -k**3 - 2*k**2 - 798*k + 473 What is the m'th term of 139581, 139552, 139523, 139494, 139465? -29*m + 139610 What is the k'th term of -1419235, -2838470, -4257705, -5676940? -1419235*k What is the v'th term of 476, 1188, 2134, 3314, 4728, 6376? 117*v**2 + 361*v - 2 What is the p'th term of -33948, -67904, -101860? -33956*p + 8 What is the x'th term of 508, 403, 300, 199, 100? x**2 - 108*x + 615 What is the c'th term of 1920, 7692, 17310, 30774? 1923*c**2 + 3*c - 6 What is the u'th term of 30607, 61266, 91939, 122632, 153351, 184102, 214891, 245724? u**3 + u**2 + 30649*u - 44 What is the d'th term of 1353, 1279, 1209, 1143? 2*d**2 - 80*d + 1431 What is the m'th term of -878, -1683, -2322, -2711, -2766, -2403, -1538, -87? 14*m**3 - m**2 - 900*m + 9 What is the p'th term of 31723, 31727, 31735, 31747? 2*p**2 - 2*p + 31723 What is the m'th term of -192, -290, -384, -474, -560, -642, -720? 2*m**2 - 104*m - 90 What is the b'th term of 2243, 2132, 1941, 1664, 1295, 828, 257, -424? -b**3 - 34*b**2 - 2*b + 2280 What is the s'th term of -1824, -7199, -16154, -28689, -44804, -64499? -1790*s**2 - 5*s - 29 What is the u'th term of 210056, 210068, 210080? 12*u + 210044 What is the u'th term of -94409, -94405, -94401, -94397, -94393, -94389? 4*u - 94413 What is the c'th term of 26427, 52857, 79287, 105717, 132147? 26430*c - 3 What is the w'th term of -6802, -13721, -20640, -27559? -6919*w + 117 What is the g'th term of -157924, -157918, -157908, -157894? 2*g**2 - 157926 What is the b'th term of -693, -822, -951, -1080, -1209, -1338? -129*b - 564 What is the z'th term of -117941, -117931, -117921, -117911, -117901, -117891? 10*z - 117951 What is the w'th term of 68, 228, 490, 848, 1296, 1828, 2438, 3120? -w**3 + 57*w**2 - 4*w + 16 What is the t'th term of -2172, -4308, -6444? -2136*t - 36 What is the v'th term of 417, 798, 1163, 1512, 1845, 2162, 2463? -8*v**2 + 405*v + 20 What is the l'th term of 248, 267, 286, 305, 324, 343? 19*l + 229 What is the u'th term of 167, 423, 679, 935, 1191, 1447? 256*u - 89 What is the s'th term of -72307, -144616, -216925, -289234, -361543? -72309*s + 2 What is the k'th term of -2641, -2620, -2585, -2530, -2449, -2336, -2185? k**3 + k**2 + 11*k - 2654 What is the s'th term of 8456, 16916, 25380, 33848? 2*s**2 + 8454*s What is the r'th term of 227752, 227753, 227754, 227755, 227756, 227757? r + 227751 What is the p'th term of 89, 829, 2865, 6845, 13417? 108*p**3 - 16*p - 3 What is the g'th term of -840, -6814, -23034, -54624, -106708, -184410, -292854? -854*g**3 + g**2 + g + 12 What is the o'th term of 2282, 4556, 6830, 9104, 11378? 2274*o + 8 What is the d'th term of -1126, -2247, -3380, -4537, -5730, -6971, -8272? -2*d**3 + 6*d**2 - 1125*d - 5 What is the p'th term of -5354, -4663, -3512, -1901, 170? 230*p**2 + p - 5585 What is the l'th term of 1513, 2547, 3583, 4621, 5661, 6703, 7747? l**2 + 1031*l + 481 What is the y'th term of -45, -154, -337, -594, -925, -1330, -1809? -37*y**2 + 2*y - 10 What is the k'th term of 2763, 5483, 8153, 10761, 13295, 15743? -2*k**3 - 13*k**2 + 2773*k + 5 What is the m'th term of 1157, 2342, 3555, 4796? 14*m**2 + 1143*m What is the q'th term of 453, 312, 171, 30? -141*q + 594 What is the h'th term of 63, 148, 239, 336, 439, 548, 663? 3*h**2 + 76*h - 16 What is the a'th term of 26568, 53143, 79726, 106317, 132916? 4*a**2 + 26563*a + 1 What is the f'th term of 3548, 6997, 10446? 3449*f + 99 What is the t'th term of -14302, -14184, -14054, -13906, -13734, -13532, -13294, -13014? t**3 + 111*t - 14414 What is the m'th term of 202, 87, -22, -125? 3*m**2 - 124*m + 323 What is the x'th term of -204, -1638, -5522, -13080, -25536, -44114? -204*x**3 - x**2 - 3*x + 4 What is the g'th term of 36, 300, 1022, 2430, 4752, 8216, 13050? 38*g**3 + g**2 - 5*g + 2 What is the c'th term of 174, 167, 170, 189, 230? c**3 - c**2 - 11*c + 185 What is the g'th term of 382, 769, 1124, 1429, 1666, 1817, 1864, 1789? -3*g**3 + 2*g**2 + 402*g - 19 What is the a'th term of -23182, -23296, -23486, -23752, -24094? -38*a**2 - 23144 What is the v'th term of -507, -1116, -1799, -2592, -3531, -4652, -5991, -7584? -6*v**3 - v**2 - 564*v + 64 What is the b'th term of 35368, 70732, 106096, 141460, 176824, 212188? 35364*b + 4 What is the t'th term of -5742, -11366, -16990, -22614, -28238, -33862? -5624*t - 118 What is the z'th term of 11030, 22366, 33704, 45044, 56386, 67730? z**2 + 11333*z - 304 What is the y'th term of -9405, -37752, -85035, -151254, -236409? -9468*y**2 + 57*y + 6 What is the r'th term of -157, -149, -131, -103, -65? 5*r**2 - 7*r - 155 What is the h'th term of 875, 1106, 1337, 1568, 1799, 2030? 231*h + 644 What is the r'th term of -56932, -113866, -170800, -227734, -284668, -341602? -56934*r + 2 What is the i'th term of 29, 44, 33, -34, -187, -456, -871? -5*i**3 + 17*i**2 - i + 18 What is the l'th term of 1092349, 1092347, 1092345, 1092343, 1092341? -2*l + 1092351 What is the r'th term of -283, -642, -1003, -1366, -1731, -2098, -2467? -r**2 - 356*r + 74 What is the a'th term of 62, 266, 470? 204*a - 142 What is the h'th term of 277680, 555378, 833090, 1110822, 1388580? h**3 + h**2 + 277688*h - 10 What is the w'th term of -400, -394, -384, -370, -352, -330? 2*w**2 - 402 What is the m'th term of -2108, -8584, -19364, -34442, -53812, -77468? m**3 - 2158*m**2 - 9*m + 58 What is the p'th term of -522549, -522545, -522541? 4*p - 522553 What is the a'th term of -12650, -25295, -37936, -50573, -63206, -75835? 2*a**2 - 12651*a - 1 What is the k'th term of -70607, -70180, -69765, -69368, -68995, -68652, -68345, -68080? -k**3 + 434*k - 71040 What is the b'th term of -2462, -4967, -7472? -2505*b + 43 What is the r'th term of -1155, -2315, -3489, -4683, -5903, -7155? -r**3 - r**2 - 1150*r - 3 What is the d'th term of -299740, -599480, -899220, -1198960? -299740*d What is the s'th term of -115066, -230132, -345198, -460264? -115066*s What is the m'th term of -4870, -4983, -5172, -5437, -5778? -38*m**2 + m - 4833 What is the t'th term of -637, -1284, -1943, -2620, -3321, -4052? -t**3 - 640*t + 4 What is the y'th term of -8573, -8575, -8577, -8579? -2*y - 8571 What is the s'th term of -119, -182, -255, -344, -455, -594, -767, -980? -s**3 + s**2 - 59*s - 60 What is the d'th term of 15680, 31352, 47024, 62696, 78368, 94040? 15672*d + 8 What is the z'th term of 154689, 309372, 464073, 618798, 773553? z**3 + 3*z**2 + 154667*z + 18 What is the l'th term of -133, -499, -1109,
{ "pile_set_name": "DM Mathematics" }
+ 3*o - 3. Let q be i(3). Suppose -2*x = x - q. Is 7 a factor of x? False Let y(h) = 4*h**3 + 2*h**2 - 2*h - 1. Let z(k) = k**3 - 3*k**2 + 3*k. Let t be z(2). Is y(t) a multiple of 6? False Let w(q) = -q - 6. Let n be w(-8). Suppose o + n*o = 2*d - 129, 5*d - 291 = -3*o. Suppose 2*t = -2*t + d. Does 7 divide t? False Let g(r) be the third derivative of -r**4/24 + r**3 - 2*r**2. Let w = 0 + -9. Is g(w) a multiple of 15? True Let o = -2 - -5. Does 16 divide o + (2 - -46) - -1? False Let g = 13 + -31. Does 15 divide -6*(2 + g/4)? True Suppose -6 = 2*q - 2*r - 2, 4*q - r - 4 = 0. Suppose q*o + 3*g - 1 = 0, -4*o + 31 = o - 2*g. Suppose -2*l = -o*m - 117 + 30, -l = 2*m - 48. Is 15 a factor of l? False Suppose 11 = -f + 35. Does 15 divide f? False Let z(a) = a + 37. Is z(9) a multiple of 23? True Let t = -297 - -501. Is 17 a factor of t? True Suppose -l = 4*j - 60, -3*j + 204 = 5*l - 7*j. Is 11 a factor of l? True Let b(l) = -3*l - 5*l - 6*l. Let c be b(-2). Suppose -2*k - 14 = -2*j + 26, j = -k + c. Does 21 divide j? False Let s be (-1036)/(-20) - 1/(-5). Suppose 2*p + 0*g - 4*g = s, p + 3*g = 21. Is 24 a factor of p? True Let c(d) = -10*d. Does 7 divide c(-2)? False Let q(d) = 5*d**2 - 10*d - 13. Is 28 a factor of q(6)? False Let q(h) be the first derivative of -h**4/4 - h**3 - 5*h**2/2 + 6. Does 6 divide q(-3)? False Let s = -10 + 12. Suppose 27 = -s*i + 119. Does 14 divide i? False Let v(f) = 5*f**2 - 5*f**2 - 8 + 2*f**2 + 5*f. Does 16 divide v(-6)? False Is 40 a factor of (1 - -16)*5 + -4? False Let x = 3 - -2. Suppose x*o - 149 = -4*a + 139, -a + 170 = 3*o. Is o a multiple of 28? True Suppose -r = r - 4. Let q be 6/27 + (-32)/(-18). Suppose -r*a = -v - 34, 0*a + 3*v + 34 = q*a. Does 6 divide a? False Let v be (-3 - -1)*(1 - 2). Is 17 a factor of (-1)/(-2) + 101/v? True Let z = 0 - -55. Is 11 a factor of z? True Suppose 3*m = 5*m - 40. Does 5 divide m? True Suppose 0*i + 2*o = 5*i - 127, -5*i = -3*o - 123. Suppose -i = -16*k + 13*k. Does 2 divide k? False Suppose -3*h + 2 = -2*g - 13, -2*g = 6. Is 2 a factor of 2*(9 - h)/3? True Let r(n) = 2*n + 11. Is r(0) even? False Let q(z) = -7*z. Let o(g) = 6*g. Let n(m) = 4*o(m) + 3*q(m). Let x be n(-3). Let s(w) = -w + 8. Does 7 divide s(x)? False Let w = 4 + 25. Let o = 47 - w. Is o a multiple of 9? True Suppose 3*q + 19 - 4 = 0, -4*o + 3*q - 1 = 0. Is (-2)/o - (-76)/8 a multiple of 10? True Suppose 4*z = -8 + 168. Is 4 a factor of z? True Suppose -3*f = 0, -6*o + 3*o - 3*f + 6 = 0. Suppose o*z + q - 1 - 32 = 0, -2*z + 28 = -4*q. Is z a multiple of 8? True Let o(u) = -30*u + 43. Is 11 a factor of o(-5)? False Let k = 6 + 42. Is 16 a factor of k? True Suppose -4*m = 35 - 15. Let a = -3 - m. Suppose a*q + 2*j - 17 = 7, -5*j = -20. Is 3 a factor of q? False Suppose -164 + 12 = -4*h. Is 17 a factor of h? False Suppose 10 = 2*c, 3*z + c = 2*z + 1. Let f(g) = -3*g + 5. Is 17 a factor of f(z)? True Let a(f) = f**3 - 8*f**2 + 10*f - 6. Is a(7) a multiple of 15? True Let n = 19 + -12. Is n a multiple of 7? True Let s(b) = b**2 + 2. Let u be s(-2). Let n(y) = y. Does 6 divide n(u)? True Suppose 3*c - 3 = 0, 5*v + c - 258 = 3*c. Let m be ((-3)/2)/(3/v). Let n = -18 - m. Is 3 a factor of n? False Let g(z) = 2*z - 5. Let c be g(5). Suppose -11 = c*j + 4. Let h(d) = -2*d + 3. Does 9 divide h(j)? True Does 28 divide (-105)/((-7)/4 - -1)? True Let v(m) = -m**3 - 2*m**2 - m - 2. Let q be v(-2). Suppose -2*s + 4 = -q. Is 2 a factor of s? True Suppose 3*k = -k + 40. Let w(h) = 2*h - 1. Let q be w(k). Suppose 3*f - 15 = 0, -f = n + 2*f - q. Is 4 a factor of n? True Suppose 525 = 27*u - 22*u. Is u a multiple of 48? False Is 4 a factor of ((-2)/6)/((-8)/144)? False Suppose 3*o - 73 = -0*o - 2*p, -2*p - 62 = -2*o. Suppose 0 = -h - 2*t + 34, -5*h = -5*t + o - 242. Does 20 divide h? True Let y(v) = -3*v + 3. Let p be y(-4). Let f = 25 - p. Does 5 divide f? True Let l = -14 - -57. Let v = l + 7. Is 9 a factor of (6 + -2)*v/8? False Let o(s) = -s**2 + 3*s + 3. Let v be o(3). Suppose 0 = 5*d + 3*b - 39, -v + 29 = 2*d - 4*b. Is 9 a factor of d? True Let k be ((-21)/6)/((-2)/16). Is 17 a factor of (-7)/(k/32 + -1)? False Suppose r = -0*r + 42. Let m be -3*2/((-12)/(-50)). Let b = r + m. Is 12 a factor of b? False Let f be 46/3*3 + -1. Suppose 0 = -5*u - 3*o + 315, 3*u - 93 = 4*o + 96. Let h = u - f. Is h a multiple of 9? True Let c(g) = g. Is 4 a factor of c(8)? True Let u(w) = -w + 11. Does 2 divide u(-5)? True Let m = -4 + 3. Let b = -1 - m. Suppose b = t - 3 - 7. Is 5 a factor of t? True Let h = 8 + -13. Let k be 2/h*(162 - 2). Does 21 divide -3 - 0 - (k - 2)? True Let n(w) = w + 3 + 7 - 5 + 6. Let o be n(-9). Suppose o*u - 3*f = 56, 0 = -5*u + 3*f - 4*f + 106. Does 7 divide u? False Let y(x) be the third derivative of x**6/120 + x**5/60 + 2*x**3/3 - 3*x**2. Let t be y(0). Suppose -3*m - 5 = -t*m. Is m a multiple of 5? True Let w be (30/(-9) + 2)*3. Let o be -1*4*(-3)/w. Is 5 a factor of -2 - 1/(o/39)? False Let w = -208 + 406. Does 18 divide w? True Let a(f) = 10*f - 39. Does 72 divide a(13)? False Suppose i = 2*n - 55, -72 = -4*n - 2*i + 42. Is 23 a factor of n? False Is -3 - (0 - (65 - -3)) a multiple of 13? True Let o = -7 - -31. Suppose -4*r - s + 12 = 0, 3*r = 2*s + s + o. Is 3 a factor of 216/22 - r/(-22)? False Let z(a) = 9*a - 1. Suppose g + g = 4*c - 146, 2*c + g = 83. Let s be c/9 + (-2)/(-3). Does 22 divide z(s)? True Suppose -5*k = -k - 3*s - 308, 3*s = k - 68. Is k a multiple of 20? True Suppose -12*c + 21 = -9*c. Is 2 a factor of c? False Suppose 5*o = 5, q - 39 = -3*o - 7. Suppose -5*n + 161 = -q. Is 13 a factor of n? False Suppose 4*p - 2*p = 138. Is p a multiple of 17? False Suppose 0 = 4*l - 52 + 4. Suppose -2*k + 30 = l. Is k a multiple of 7? False Suppose -7 = 5*d + 3. Let i be 3 - (-2)/(4/d). Does 4 divide i/(-9) - (-148)/18? True Let n(k) = 2*k**2 + k. Let o be n(1). Let w(h) = 6*h. Let f be w(o). Suppose 2*v + 5*s - 12 = 0, -3*v = 4*s - 3*s - f. Is v a multiple of 4? False Let q = 112 + -76. Is 6 a factor of q? True Is -1 + (-4 - -2) + 120 a multiple of 39? True Let s be 4/(-18) + (-518)/(-63). Is 15 a factor of -1 + 62*4/s? True Is 18 a factor of (-1012)/(-14) - (-4)/(-14)? True Let n = 56 - 36. Is 10 a factor of n? True Let j = 31 - -59. Is j a multiple of 19? False Let g(m) = -19*m - 3. Let i be g(-3). Suppose 5*v - i = 3*v. Is 9 a factor of v? True Let p(x) = -x**3 - 1. Let v = -5 + 3. Let r(u) = -3*u**3 + u**2 - 2*u - 4. Let q(n) = v*p(n) + r(n). Does 12 divide q(-2)? False Let h = -2 - 1. Is 19 a factor of (-10)/h*(-5 + 23)? False Let u(b) be the first derivative of -b**4 - b**2 - 4 - 2*b - 1/3*b**3. Is u(-2) a multiple of 10? True Let y = 14 - -13. Let k = -9 + y. Is 9 a factor of k? True Suppose 2*b - 23 = 5*w, b + 3*b - 5*w - 31 = 0. Suppose 4 + b = 2*z. Suppose 74 - 18 = z*v. Is v a multiple of 7? True Let w(t) = t**2 - 3*t + 2. Let i be w(6). Let m = -14 + i. Is 4*(-1)/(-2) + m a multiple of 8? True Suppose 37 = y + 13. Suppose -4*k + k + y = 0. Does 4 divide k? True Let u = 93 - 83. Is u a multiple of 3? False Let k(z) = -z**2 + 9*z + 10. Let j be k(10). Suppose f - 32 = -j*f. Suppose 3*q - f = q. Is 8 a factor of q? True Let n(v) = v**3 - 6*v**2 + v - 3. Is 2 a factor of n(6)? False Suppose -5*i = -6*i + 28. Suppose -3*q = -q - i. Does 7 divide q? True Let l(a) = 10*a + 2. Is l(7) a multiple of 6? True Let g(p) = 2*p - 2. Let q be g(2). Let w(s) = -3*s + 6 + 2*s - 4*s**2 + s**3 - q*s. Is w(5) a multiple of 16? True Let g(a) = 42*a**3 + 2*a - 1. Let o be g(1). Suppose -2*h + 3 + o = 0. Is 6 a factor of h? False Suppose 23 = -x + 2*x. Does 6 divide x? False Suppose r + 12 = 51. Does 8 divide r? False Let u = -4 - -7. Suppose -4*q + 2 = -u*q. Suppose -4*f + 160 = -4*x, -4*x + 74 = q*f - 0*x. Is 21 a factor of f? False Suppose 4*i + 5*g - 23 = 0, 2*i + 13 = 4*i + 3*g. Suppose h = 5*u + 75, -4 = -i*u - 2. Does 23 divide h? False Suppose 2*w - 30 = 34. Is 32 a factor of w? True Suppose a - 7*t + 2*t = 9, 5*t + 3 = 2*a. Let n(x) = x**3 + 5*x**2 - 5*x + 8. Does 2 divide n(a)? True Does 6 divide (-5)/10*(-624)/2? True Let l = -7 - 24. Let z = 73 + l. Suppose z = 5*c + m, -3*c + 0*m + 28 = 2*m. Is c a multiple of 8? True Suppose 29 = -4*y + q, -4*y + 5*q = y + 55. Let p = 8 + y. Suppose -28 = -4*d
{ "pile_set_name": "DM Mathematics" }
. Which is the third biggest value? (a) j (b) 0.1 (c) m c Let t = 40 - 28. Let n be (-4)/3*t/(-35). Let p = -2/35 + n. Which is the second biggest value? (a) 5 (b) 3/2 (c) p b Let i = -3/41 - -103/287. Which is the third smallest value? (a) -0.4 (b) i (c) -1 b Let h be (-42)/(-40) - 2/8. Which is the third smallest value? (a) h (b) -4 (c) 1 c Let t(l) = l + 5. Let o be t(-5). Let w = 1.74 + -3.67. Let x = 0.07 - w. Which is the third biggest value? (a) 5 (b) x (c) o c Let z = 155 - 158.99. Let h = -0.3 - -0.31. Let u = z - h. Which is the second biggest value? (a) u (b) 5 (c) 2/9 c Let x = 0.5 - 0.36. Which is the biggest value? (a) x (b) 3 (c) 4 (d) -0.3 c Suppose -5*v - 10 = -v + 2*n, -3*v - 2*n = 6. Which is the smallest value? (a) 5 (b) v (c) 4 b Let s = 196 + -2148/11. Let a = s + -10/11. What is the biggest value in a, 2/3, 0.1? 2/3 Let z = -3/7 - -29/35. Which is the smallest value? (a) z (b) -0.1 (c) -3 c Let f = 0.07 - 0.14. Let n = 4.93 - f. What is the second smallest value in 4/3, n, 2? 2 Let r = 3 - 5. Let y = 1398/55 - 128/5. What is the smallest value in r, 2/5, y? r Let k = 62.1 - 62. What is the fourth biggest value in k, -4, 4, -2? -4 Let s = -7 - -10. Let r = -0.29 - -0.2. Let j = r + 0.19. What is the third biggest value in j, s, -1? -1 Suppose -2*o - 2*l = -3 + 1, -25 = -o + 5*l. Suppose x - 5*t = 2 + 1, o*x + t = -11. Let c = 0.2 - 0. What is the second smallest value in x, c, -0.2? -0.2 Let p be (-2)/30*-3*2. What is the third smallest value in p, -1/8, -4? p Let l = -72 + 211/3. Which is the third biggest value? (a) -1 (b) 3/4 (c) l c Let r be 1 + (12/(-2))/(-2). Suppose 4*p - v - 4 = 0, p - r*v = -0*v - 14. What is the second smallest value in 0.1, p, -0.2? 0.1 Let l = -2520729/11 - -228893. Let y = 264 + l. Which is the biggest value? (a) y (b) -3 (c) -1 a Let x = -0.056 - -0.016. Let p = 118 + -112.96. Let w = p + x. Which is the smallest value? (a) 0 (b) -4 (c) w b Let j = 0.1 + 0.4. Let s = j - 0.8. Let q be (-4)/16 - 10/56. Which is the third smallest value? (a) 2 (b) s (c) q a Let f = -0.27 + 0.07. Which is the biggest value? (a) -3 (b) 21 (c) f b Suppose -i = 4*i - 35. Let n be 6/28 - (-2)/i. What is the third biggest value in n, -0.4, -1/4? -0.4 Let r(i) = i**3 + 14*i**2 + 15*i + 25. Let z be r(-13). What is the fourth smallest value in 0.2, 5/2, -2, z? 5/2 Let f = 168 + -164. Which is the second smallest value? (a) 5 (b) 1 (c) 0.1 (d) f b Let u = -0.1 + -0.3. Let q(x) = -x**2 - 7*x - 12. Let z be q(-5). Suppose 6*o + 10 = o, o = s + 3. Which is the third biggest value? (a) s (b) z (c) u a Let l = 0.24 - 0.34. Let x = -3 - -2.7. Which is the smallest value? (a) 0.1 (b) x (c) l b Let f = 27/4 + -151/20. What is the biggest value in f, -5, 2? 2 Let g = 0.13 + -0.03. Let z = 62 - 62.5. What is the second smallest value in z, -4, g? z Let o = -3.3 + 3. Let i = 0.6 + -1.6. Let z = i + 1.2. What is the third smallest value in z, -2, o? z Let w = 11 - 12.4. Let i = 2.5 + w. Let f = i + -1. Which is the third biggest value? (a) 2/17 (b) 1 (c) f c Let r = 327/8 + -41. What is the second biggest value in 0.4, 0.2, r? 0.2 Let j = 0.253 - 0.053. What is the biggest value in j, -2, 1, 0? 1 Let p = 35 - 38. What is the biggest value in 1, p, 0.7, 5/3? 5/3 Let h be 77/44*(-2)/(-7). Let u = 0.1 - 0. Which is the third biggest value? (a) u (b) h (c) -7 c Let m = 1.4 + -3.4. What is the smallest value in -0.5, m, 2/7, -0.1? m Let x = 10 - 4. Let v be (-1)/2 - (-15)/x. Which is the third smallest value? (a) -1/5 (b) v (c) -1 b Let k be ((-1 - 2) + -3)/((-60)/(-8)). Let m = 0.36 + -0.06. What is the third biggest value in k, m, 0.1? k Suppose -4*q - 3*t = -30 - 18, q + 4*t = -1. Let u be 6/q + (-8)/(-30). Let g = 0.2 + 4.8. Which is the third biggest value? (a) -2/3 (b) u (c) g a Let d be (-3 + 0 + 1)/(-2). Let f = 1 - d. Let z = -228 - -224. Which is the smallest value? (a) f (b) 5 (c) z c Let x = -7 + 3. Which is the third smallest value? (a) -1/4 (b) x (c) -0.3 a Let p = -3 + 3.1. Let h = -81.3 + 74. Let t = 7 + h. Which is the second biggest value? (a) p (b) t (c) 4 a Let q = 163/30 + -3181/660. Let z = -4/11 + q. Suppose -2*r + 5*x = -15, 0 = -2*x - x - 9. Which is the smallest value? (a) z (b) 5 (c) r c Let i = -0.05 - -0.03. Let p = -0.38 + i. Which is the second smallest value? (a) p (b) 2/9 (c) 0.1 c Let h = 8 - 3. Let l be 8/16 + (-9)/2. Which is the smallest value? (a) l (b) h (c) 1 a Let g(s) = -s. Let x be g(-2). Which is the second biggest value? (a) -0.4 (b) x (c) -0.02 c Let d = 87 - 87.5. What is the biggest value in d, 0.1, 0? 0.1 Let y = 8 + -8.8. Let j = -2.2 + y. Let l be 6*((-100)/(-33) + -3). Which is the smallest value? (a) 1/2 (b) l (c) j c Let d = 0.02 - 4.02. Suppose -4*f + 5*h + 4 = 0, -3 = -f + 5*h + 13. Let y be f/(-10) - (-9)/(-60). Which is the third smallest value? (a) -0.2 (b) d (c) y c Let s = 1.07 + -0.17. Let i = -0.1 - s. Let g = i + -1. Which is the third biggest value? (a) 3 (b) -5 (c) g b Let o = -5 - -11. Let g = o + -3. Suppose g*t + 10 = 5*t. What is the second smallest value in -1, -4, t? -1 Let l = 554/1309 + 1/187. Let w = 13.5 + -13. Let v(r) = -4*r + 1. Let h be v(1). Which is the smallest value? (a) h (b) w (c) l a Let g = -5 + 2. Which is the second biggest value? (a) g (b) -2/9 (c) -0.1 b Let j = -0.4 + 3.4. What is the third biggest value in 0, 4, j, -3? 0 Let r be 1/(1/((-27)/(-3))). Let l(v) = -v**3 + 10*v**2 - 8*v - 8. Let g be l(r). What is the smallest value in 1/2, g, 5/3? 1/2 Let k = -1 - -6. Let f = -464283/2 - -1302313223/5610. Let r = 2/165 - f. Which is the second smallest value? (a) k (b) r (c) -3 b Let l = -1.2 - -4. Let h = l - -0.2. What is the third biggest value in -2/7, 0.3, h? -2/7 Let b = 4 - -2. Suppose -2*r - 17 - 12 = 5*l, 2*l - 2*r + b = 0. What is the third biggest value in 0.5, l, -3? l Let q = -0.27 + -3.73. What is the third biggest value in q, -1/4, -0.3, 7? -0.3 Let t = -8 - -12. Which is the third biggest value? (a) 0 (b) t (c) 5 a Let p = -2.5 - -2. Let n be 1/1 + -33 + 7. Let f be 2 + 4/(60/n). What is the third smallest value in p, f, 0.5? 0.5 Suppose -p = -3*t - 5, -5*t - 5 - 2 = -2*p. Let x be 18/p + (-15)/(-5). What is the third smallest value in x, -3, -5? x Let i = 20 + -10. Suppose 4*f - r + 4*r - 19 = 0, -i = -2*r. Which is the smallest value? (a) f (b) -4 (c) 2/5 b Let n be ((-1)/2)/((-25)/80*4). What is the fourth smallest value in -1/3, 0.02, 0.5, n? 0.5 Let y = -5.7 - -6. Let v = -1.3 + y. Let g = -0.9 - -0.8. What is the second biggest value in v, g, -1/8? -1/8 Let z = 0.6 + 9.4. Let g = z + -14. What is the biggest value in 1/5, g, -2? 1/5 Let j be -3 + (1 - 1)*-1. Let d = -0.3 + 0.4. Let w be ((-12)/9)/((-250)/15). Which is the smallest value? (a) j (b) d (c) w a Let m be (-6)/8*(-4)/(-5). Let n = -323 + 319. Which is the third biggest value? (a) -0.5 (b) m (c) n c Let s = 3 - 1. Suppose -4 = r + h, -11 + 0 = 2*r - h. Which is the smallest value? (a) s (b) -4 (c) r c Let x = -2 - -18. Let i = -10 + x. What is the second biggest value in 4, 1/4, i? 4 Let h = 49/3 + -16. Let i = -1.05 + 0.05. Let r = i + -2. What is the third smallest value in h, r, 4? 4 Suppose 2*n = 5*v - 154 - 5, 3*v = 4*n + 339. Let z = 429/5 + n. Suppose 2*q - 6*q = 0. What is the smallest value in -3, q, z? -3 Suppose 2*b + 0*t - 3*t = 21, 0 = 4*b + t - 21. Let f be (-40)/(-42) - b/21. What is the biggest value in f, -1, -2/13? f Let q = -0.08 - 0.22. Let s = 0.1 - q. Which is the biggest value? (a) s (b) 3/5 (c) 3 c Let r be 1*3 + 611/(-195). Let c = 0.06 + -0.16. What is the biggest value in -0.5, r, c? c Let k = -0.5 + 0.5. Let r = k - -0.2. Let j = 3 + -4. What is the third biggest value in j, 2/5, r? j Let l = 21 + -18. Which is the third biggest value? (a) 0 (b) 2/3 (c) l a Let k be ((-2)/5)/(0 + 22/(-10)). Which is the second biggest value? (a) 2 (b) k (c) -2 b Let k = 69 + -69.2. What is the second smallest value in k, 2/5, 0.07, 5? 0.07 Let r(w) = w**2 - 9*w + 3. Let d be r(9). Which is the third smallest value? (a) -5 (b) -1/2 (c) d c Let s be -18 + 18 + (-4)/1 + 1. What is the third smallest value in 4, s, 2/15? 4 Le
{ "pile_set_name": "DM Mathematics" }
et z(b) be the third derivative of 0*b + 0 + 1/24*b**4 + 23/6*b**3 - 141*b**2. Give z(-19). 4 Let s(j) = -8*j**2 - j + 1. Suppose 53*i - 43*i = 3110. Let x = i + -310. What is s(x)? -8 Suppose 4*f - 2 + 18 = -o, -3*o - 21 = 3*f. Let z be f/((2/(-5))/((-28)/35)). Let h(i) = -i**3 - 7*i**2 - 4*i - 8. Give h(z). -20 Let g = -3931 + 3918. Let c(b) = 4*b + 20. Give c(g). -32 Let q = 6008 - 6034. Let j(a) = -3*a - 95. What is j(q)? -17 Suppose t - b = 4, 0 = -2*t - 4*b - 45 + 35. Let y(o) = 54*o**2 + o. Determine y(t). 55 Let k(a) = a - 13. Suppose 0 = -30*g + 2*g + 7000. Let o = g + -238. Determine k(o). -1 Let v(d) = -574*d - 24. Let b(z) = 47*z + 1. Let k(u) = 12*b(u) + v(u). Determine k(-2). 8 Let m(a) = -3*a + 2. Let b(r) = -144*r - 4. Let v(j) = -j. Let u(p) = b(p) - v(p). Let i be u(-1). Suppose 0 = -t + 141 - i. Determine m(t). -4 Let u(p) = p + 4. Let j(m) = 2*m - 22. Let o be j(11). Suppose -2*s - 8 = -o*s. Let a be u(s). Let c(r) = r - 5. Calculate c(a). -5 Let b(k) be the first derivative of 5*k**2/2 - 2*k - 17. Let p(z) = z**2 - 6*z + 10. Let q(i) = -i**2 - 28*i + 4. Let c be q(-28). Let h be p(c). Give b(h). 8 Let a(g) be the second derivative of -g**3/3 + 49*g**2/2 - 803*g. Determine a(22). 5 Let o(t) = -4*t + 3. Suppose -3*w + 15 = -6. Let x(s) be the third derivative of -s**5/60 + 7*s**4/24 + s**3/2 + 91*s**2 + 3. Let q be x(w). Give o(q). -9 Suppose -m + 0*m = -1. Let w(y) = -1 + m + 2*y - 4. Let i be (24 - 23 - 3)/(56/35 - 2). Calculate w(i). 6 Let o be 45/15 - (1 - (-15)/(-1)). Suppose -o*j = -95 - 7. Suppose -4*d - 10 = j. Let x(b) = b. Give x(d). -4 Let f(j) = 252*j - 493*j - 5 + 248*j. What is f(5)? 30 Suppose -4*g - 5*r + 6 = 0, 19*r - 12 = -g + 23*r. Let b = -30 - -52. Let n(a) = 23*a + 3 + g - b*a. Calculate n(-7). 0 Let f(o) = o**3 - 10*o**2 + 8*o + 7. Let m = 767 - 765. Suppose -5*s = 4*r - 64 - 1, -m*s + 43 = 5*r. Determine f(s). -2 Suppose 4*k + 24 = 9*k - t, -4*k - 5*t = -25. Let j(h) = -8*h - 21. Let y(c) = 9*c + 22. Let r(n) = k*j(n) + 4*y(n). Determine r(-6). 7 Let k(z) be the second derivative of -z**5/20 - 7*z**4/12 + z**3/6 + 9*z**2/2 - z. Suppose -11*o - 3182 = 3209. Let b = o + 574. Determine k(b). 2 Let p(x) = 9*x**2 - 13*x + 14. Let i(r) = -4*r**2 + 7*r - 7. Let y(h) = -7*i(h) - 3*p(h). Let l = -547 + 553. Calculate y(l). -17 Let g(f) = f - 4. Let v(h) = 1. Let j(o) = g(o) - 3*v(o). Suppose -2*y + 4*a = -36, 36 = 3*y + a + 10. What is j(y)? 3 Let d(w) = 2*w + 33. Let l be d(-17). Let g(t) = -9*t + 1. Let o be g(l). Let i(k) = 22*k - 39*k - k**2 - 10 + 28*k. What is i(o)? 0 Suppose -92*k + 103*k = 1287. Let m(z) = -k*z**2 + 114*z**2 + 2 + 0. Calculate m(2). -10 Let g(i) = 46 - 80*i + 71*i + 115 - 58 + 54. Calculate g(16). 13 Let s(m) be the third derivative of 0 + 13/24*m**4 - 5/3*m**3 + 0*m - 1/60*m**5 - 196*m**2. What is s(13)? -10 Let z(a) be the third derivative of -1/2*a**3 + 84*a**2 + 0*a + 3/20*a**5 + 1/120*a**6 + 0 + 1/6*a**4. Determine z(-9). -39 Let r(l) be the third derivative of -l**6/120 - 13*l**5/60 + 25*l**4/24 - 27*l**3/2 - l**2 - 2924. Determine r(-15). -6 Let r(z) = z**2 - 12*z + 4. Suppose 10 = -4*s + 5*x, -8 = 3*s - 4*x - 0. Suppose s = -5*y - 16 + 76. Determine r(y). 4 Let k(x) = -3*x - 1. Let s be k(3). Let t be (-24)/s + -2 + 240/25. Suppose -t*o - 5 = -5*o. Let l(h) = -2*h - 1. Give l(o). 1 Let u be (-2 + 3)*(0 - 0)*322/644. Let j(t) = t**3 - 2*t - 33. What is j(u)? -33 Suppose -2*m + 5*y + 50 - 146 = 0, m - 4*y = -48. Let w = m + 51. Suppose w*i + 6*i = 36. Let b(p) = p**3 - 5*p**2 + 4*p - 3. Calculate b(i). -3 Let m(o) = 9*o - 138. Let n(v) = 240*v - 1185. Let a be n(5). Calculate m(a). -3 Let z(c) = 18*c**2 + 1. Suppose 5*y = -3*d + 7 + 8, 3*y - 4*d = 9. Let x be 14*8/28 - y*1. Give z(x). 19 Let j(l) = l**2 - 2*l - 2. Let v be ((-72)/9 - -6)*(-1*6)/3. Give j(v). 6 Let l = -211 - -195. Let v be (-20 - l)*5/(-4). Let r(b) = b**3 - 4*b**2 - 3*b - 7. Calculate r(v). 3 Let u be (-1 + -5)*(-4)/(-12). Let m(p) be the third derivative of 88*p**2 + 0*p - 1/12*p**4 - 1/60*p**5 + 0 - 1/2*p**3 + 1/120*p**6. What is m(u)? -11 Let z = 75 - 68. Let x(d) = d**2 - 5*d + 2. Let t be x(5). Suppose t*l + z = -5*l. Let g(i) = 5*i + 1. Give g(l). -4 Suppose 96*y = -3*t + 97*y - 14, -4*t = y + 14. Let a(k) = 16*k + 59. Determine a(t). -5 Suppose 5*x - 11 - 4 = 0. Let k = 361 - 358. Suppose 3*d - x = -k. Let m(t) = t**3 + t**2 + t. Calculate m(d). 0 Let m(k) = 6*k**2 + 63*k + 112. Let r(b) = -8*b**2 - 84*b - 147. Let l(d) = 11*m(d) + 8*r(d). Determine l(-6). 2 Let z be (-4)/(-170) + 291328/(-48365). Let c(b) = -b**2 - 13*b - 45. What is c(z)? -3 Let l(f) be the first derivative of -f**3/3 + 2*f - 1173. What is l(1)? 1 Let k(u) = -6*u**2 + 13*u**2 - 2*u**2 - 3*u - 4*u**2 - 2*u**2 + 37. Determine k(5). -3 Let x = -3804 - -3809. Let w(a) be the first derivative of 1/2*a**2 + x*a - 10. Calculate w(6). 11 Let b(q) = q**3 + 8*q**2 - 12*q + 4. Let t(c) = c**2 - 167*c + 321. Let u be t(2). Calculate b(u). 31 Let m be -40*3*2/(-12) + 1. Let j = m + -35. Let g(l) = l**2 + 16*l + 21. Determine g(j). -7 Let c(m) be the first derivative of m**4 + 23*m**3/3 - 7*m**2/2 - 3*m - 620. Calculate c(-6). 3 Let n(a) be the third derivative of 0*a + 38*a**2 + 1/60*a**5 - 4/3*a**3 + 0 - 7/24*a**4. Calculate n(7). -8 Let b be (5 + -3)/(2 + (-24)/14). Suppose -11 + 53 = b*a. Let o(f) = -3 - 2 - f + 1. Determine o(a). -10 Let u(n) = -6*n**2 - 1. Let x(w) = 12*w**2 + 2. Let i(k) = 5*u(k) + 3*x(k). Suppose -5*h + 18*h = 741. Let s = 56 - h. Give i(s). 7 Let l = -8401 - -8395. Let y(b) = -b**3 - 7*b - 9*b**2 + 4*b + 2*b**2 + 7. Calculate y(l). -11 Let o(a) be the third derivative of 91*a**2 - 1/6*a**3 + 0 + 1/8*a**4 + 0*a + 1/20*a**5 + 1/120*a**6. What is o(-3)? -10 Let c(s) = 12*s**2 + 5 - 11*s**2 + 269*s - 226*s. What is c(-43)? 5 Let x(f) be the third derivative of -f**6/6 - f**5/20 + f**4/8 - f**3/3 - 3840*f**2 - 2. Determine x(1). -22 Let f(p) be the third derivative of p**4/6 - 5*p**3/3 + 1110*p**2. Calculate f(2). -2 Let g(z) be the third derivative of 0*z + 1/60*z**5 + 33 - 2*z**2 + 3/8*z**4 + 4/3*z**3. Calculate g(-7). -6 Let i be (-12 + 17 + (-6)/2)/2*-27. Let x(u) = 3*u + 110. Determine x(i). 29 Let q(o) = 13*o + 16. Let s(p) = 64*p + 81. Let u(w) = 14*q(w) - 3*s(w). What is u(-8)? 61 Suppose 5*u + 0*u - 35 = 0. Let m(k) be the first derivative of k**3/3 - 4*k**2 - 5*k + 1039. What is m(u)? -12 Let q(s) = 3*s**2 - 30*s + 30. Let u be (-14875)/(-1625) - (-4)/(-26). Give q(u). 3 Let l(f) = 2*f**2 + f + 1. Let x = 718 + -719. Let i(b) = -b**2 - 8*b - 2. Let o(v) = x*i(v) - 4*l(v). What is o(2)? -22 Let f(t) = t**2 + 4*t + 2. Let s = 62 + -22. Let n be -41 + (-12)/8*4/3. Let i = n + s. Calculate f(i). -1 Let d(q) = -q - 1. Let y be (-7 - 3) + 12/3. Let h(x) = 2 + 2 + x - 2. Let u(l) = y*d(l) - 5*h(l). Give u(3). -1 Let y(r) = 166*r - 397 - 427*r + 230*r. Calculate y(-13). 6 Suppose -4*d + 2*a + 2 = 0, -2*d + a - 1 = 2*d. Suppose 0 = -5*z + 8 + 2. Let r(j) = z - 5*j - 1 + 3*j + 6*j. Calculate r(d). -3 Let s(o) = -5 + 3 + 10 - 31 - o**2 - 10*o + 2. Determine s(-7). 0 Let a(f) be the second derivative of f**4/12 - f**3/2 + 5*f**2/2 - 4*f. Suppose -o + 6*o - 5 = 3*j, 3*j = -3*o + 27. Calculate a(o). 9 Let u(c) = c**3 + 6*c**2 - 3*c - 10. Suppose -71*g + 3*g = 408. Give u(g). 8 Let z = -8 - -6. Let f(c) = -66 + 19*c + 36 + 2*c**2 + 7*c**2 + 29 - 22*c. Calculate f(z). 41 Let n be (1 - 3)/(((-28)/21)/4). Let p be (-5)/(n*(-12)/16 + 4). Let v(r) = r**3 - 9*r**2 - 9*r - 3. Determine v(p). 7 Suppose 3*t = 2*u - 18, 3*u = t - 2 + 8. Let q(b) = -b**3 - 9*b**2 - 7*b + 5. What is q(t)? -61 Let r be (6 - 9/1) + 1*8. Let j(c) = r*c - 48*c + 10*c + 1 + 13*c. Let n(u) = -20*u + 1. Let a(q) = -4*j(q) + 3*n(q). Calculate a(-1). -21 Let l = 44256 + -44261. Let u(t) be the first derivative of 3*t**2/2 + 23*t - 1. What is u(l)? 8 Let c(h) = 6*h**2 - 90*h + 297. Let d be c(10). Let m(x) = -25*x - 22. Calculate m(d). 53 Suppose 49*s = 46*s - 21. Let g(j) = 23 - 8*j**2 - 3*j**3 - 14 + 2*j**3 - 7*j. Give g(s). 9 Let w = 80 - 83. Let m be w/(-12) - (3/12 + -3). Let u(o) = -2*o - 101*o**2 + 102*o**2 - m*o. Calculate u(6). 6 Let m(t) be the second derivative of t**3/3 - 9*t**2/2 - 14275*t. Give m(7). 5 Let g(m) = -3 - 12*m**2 + 19*m**2 - m - 2 - 6*m**2.
{ "pile_set_name": "DM Mathematics" }
lculate 26 + -4 - 36 - -23. 9 What is (-2 + -6 + 1 - -7) + 22? 22 (-1 - -11) + (-18 - -5 - -15) 12 Evaluate -45 + 11 + -3 + 8 + 4. -25 What is (24 + (-19 + 9 - -2) - -10) + -5? 21 Evaluate 2 + 1 + -47 + -1 + 34. -11 Evaluate -13 - (58 + -59 + (0 - 3)). -9 Evaluate 13 + -9 + 24 + -23. 5 0 - 0 - 0 - ((-22 - -61) + -48) 9 Evaluate 14 - (8 + -4 - -7). 3 What is the value of 23 + (14 + -35 - 3)? -1 What is (-6 - 1) + (-2 - -9) + (9 - 13)? -4 Calculate (11 + -1 + -10 - -13) + -12. 1 Evaluate (12 - (1 - (4 + -7))) + -11 + -1. -4 -8 + 12 + (-6 + 2 - (14 - 5)) -9 Evaluate 12 + -2 - (-13 - -10). 13 18 + (-18 - (10 + -14)) 4 What is the value of 3 - ((33 - 1) + 3) - (217 + -222)? -27 -98 - -113 - (-8 - -35) -12 What is the value of 4 + -4 + (18 - 6)? 12 What is the value of -39 - (-16 + 18 + 15 - 21)? -35 Evaluate (-12 - (9 + -7 - 11)) + 4. 1 Evaluate -15 + -25 + 7 + 9. -24 What is 2 - (-8 + 8 + 1)? 1 What is (-2 - (6 - -9)) + 7 - (-8 - -1)? -3 Evaluate (-2 - -22) + -18 + 28 + (15 - 26). 19 What is -15 - -14 - 35 - -14? -22 What is 38 + -97 + 34 + 51? 26 Calculate -1 - -7 - (-3 + -12 + 17 + -6). 10 -1 - (-8 + (18 - -2) - 26) 13 What is (-3 - (21 + -19)) + 0 + 5? 0 Calculate 4 + -4 - (0 - -7 - 7) - 0. 0 Evaluate (-28 - -10) + 21 + (-9 - -1) - -16. 11 What is the value of 142 + -131 - (7 + -3 - 1)? 8 Evaluate 44 - (-9 - (16 - 37 - 3)). 29 What is the value of 0 - 4 - (12 + -19) - (5 + -3)? 1 What is the value of (-4 - -2) + -5 - (-12 + -1)? 6 What is (21 - (-5 + (-1 - 5))) + -13? 19 What is the value of (0 + -29 - -16) + 6 + -6 + -1? -14 Evaluate (-4 - (3 + -6 + -2)) + -19 - 0. -18 Calculate 39 + 6 - 26 - 21. -2 Evaluate (50 + -62 - (-2 + 1)) + -2. -13 What is (2 - (3 + 3 + -3)) + (-1 - 3)? -5 What is the value of -1 - (14 - (21 - 10))? -4 What is -9 + (-15 + 27 - (-3 + 2))? 4 -4 - ((2 - (13 - 10)) + -3 + -10) 10 -2 + (14 - -5) + -34 -17 What is 8 + (-11 - (-7 - -1) - 18 - -5)? -10 Evaluate (10 - (2 + -1)) + 47 + (-41 - 25). -10 -7 + -16 + 1 + 18 + -9 -13 What is the value of -6 + (-7 - (-9 + -9 + 11) - -9)? 3 Evaluate 10 + (4 - (-9 - -8 - -7)). 8 Evaluate -20 - -3 - (468 - 484). -1 Evaluate 5 + -5 - 4 - -5. 1 -1985 + 1982 - (-35 - 0) 32 What is (-5 - (-3 + -1)) + (-1 - 3 - -3)? -2 Evaluate (-8 - (0 - -4)) + (-3 - (-1 - 14)). 0 Evaluate (6 - 10) + 8 + 4. 8 Calculate 2 - (-46 + 25 + 22). 1 2 - (-2 - 22 - -16) 10 1 - (-13 - -2 - ((-7 - -3) + -2)) 6 Evaluate -1 - (-15 + 2 + (-7 - -16) + -3). 6 Calculate 18 - (45 + -13 + -17). 3 13 + (12 - 32) + 1 -6 What is (14 - (-12 + 27 + -9)) + -23? -15 Calculate -12 - (-6 + -4) - (2 + -5 - 0). 1 -2 - (-1 + 5) - -5 - (-3 + -1) 3 (9 - 4) + 0 - 8 -3 What is (-1 - (-1 - (2 + -5))) + -3? -6 (-3 - 7) + (3 - -2) - (1 - -7) -13 (-1 + 4 - -2) + 0 + -3 2 42 - 0 - (-118 - -151) 9 Calculate (-7 - -4) + (-9 - 19 - -8). -23 What is the value of -25 - (17 + -25) - -8? -9 -1 - 23 - (-8 - (4 + -1)) -13 Calculate -5 + 10 - (4 - ((0 - -7) + -2)). 6 What is the value of -10 + (-19 - (-29 + 20))? -20 Calculate 50 + -68 + 4 - (-1 + -18). 5 Calculate 5 + -12 + (17 - 6). 4 -3 - 13 - (25 + -49) 8 Evaluate -4 + 8 + 3 + (-2 - 4). 1 -9 + (-12 - -30) - 15 -6 Evaluate 8 - (-13 - (-6 + 13 + -10)). 18 Calculate (3 - 3) + (-10 - -8) - 8. -10 What is 9 - (-8 - (-4 + 1 + 8 - 7))? 15 What is ((5 - -14) + -29 - (-1 - 3)) + -25? -31 What is the value of 18 + 1 - 21 - (-4 - 1) - 17? -14 Calculate 3 + 7 - 9 - (-2 - -5). -2 Calculate (0 + 4 - (11 - 12)) + -6 + 5. 4 What is the value of 3 + -1 - -7 - (23 - 20) - 2? 4 What is (-34 - -31) + (-8 - -1)? -10 Calculate 13 - 8 - (-1 - (-8 + 16)). 14 What is -38 + (-15 - -38) - -28? 13 What is 3 - 0 - (12 - (7 + 13))? 11 -8 + 7 + (-12 + 7 - -9) + 0 3 631 - 637 - (-17 + 0 + 0) 11 Evaluate -27 + -8 + 27 - 5. -13 What is the value of 13 - (20 - (-1 + 8))? 0 Calculate 0 + -8 + (-221 - -230) - -30. 31 Evaluate -9 + (9 - (-1 - 0)) - -3. 4 Calculate -8 + -8 + 9 + -10 + 19. 2 What is the value of 1 - -3 - (-10 + 6 + -5 + 2)? 11 What is the value of 7 - ((10 - -2) + (-8 - (8 + -10)))? 1 Calculate (20 - -8 - 18) + -4 - (-19 + 0). 25 What is the value of -24 + -11 + (-8 + (-9 - -13) - -14)? -25 Calculate -1 + 3 + 24 - (38 + -58 + 26). 20 Evaluate 10 + -7 + -9 + 9 - -11. 14 Evaluate -3 + 0 + (20 + -10 - 9). -2 What is the value of 2 + -17 + 7 - (-3 + -9)? 4 Calculate 323 - 342 - (-1 + -16). -2 Evaluate -9 - (1 + -22 + 14). -2 What is the value of 6 + 16 + -11 + -14 - 5? -8 What is -13 - (-11 - -4) - (-4 + 0) - 3? -5 -11 + 18 + (-22 - (-2 - (-2 + -1))) -16 Calculate -5 + 23 - 22 - -27. 23 What is the value of (-1 + 2 - 8) + -2209 + 2190? -26 17 - (11 + (0 - (-3 + 12))) 15 What is the value of 1 - ((1 - 8 - (-10 + 11)) + 8)? 1 What is the value of 1 - 7 - (-2 - -3 - 8)? 1 What is -7 - (-34 + (-8 - (-14 + 4)))? 25 What is -301 + 301 + 16 + -2? 14 What is the value of (19 - (12 - 7)) + -2 - -5? 17 Calculate 15 + -9 + 6 + -13. -1 What is -6 - (0 + 2 + -5 + -3)? 0 Evaluate -20 + 32 - (10 - 6). 8 What is (-3 - (3 + 1)) + (-1 + -11 - -11)? -8 28 + (-14 - (-1 - -16) - -14) 13 Calculate 7 + (4 - (12 + -2)). 1 What is -23 + 6 - -14 - (-1 - -9)? -11 Evaluate 1 + 10 - (124 - 128). 15 Calculate ((12 - 16) + -7 - -8) + 18. 15 What is -46 - -53 - (-4 + 2 + 10)? -1 Calculate -11 + -11 + 11 + 20. 9 What is the value of (-10 - (-4 + 7 + -1) - -6) + -6? -12 What is the value of -1 + 2 + -1 - (-26 + 3 + 21)? 2 18 - (-5 + 11 - -7) 5 Evaluate -6 + (2 - 3) + 12 + (-7 - -15). 13 -9 + (23 - (10 - -8)) -4 What is (-4 - (0 + -5) - 10) + (8 - 6)? -7 (2 - (2 - 9)) + 16 + -30 + 17 12 What is the value of -15 + (8 - (-10 + 16)) + 7 + -10? -16 What is the value of -1 - -6 - (-3 + 3 + 2 + -5)? 8 What is the value of 9 - (28 + (12 - 19))? -12 1 + 6 + (-64 - -48) - 12 -21 What is the value of 11 - ((0 - -7) + -14 + 27 - 1)? -8 -1 - -1 - 9 - (49 + -51 + 9) -16 What is 12 - (10 + -9 + 4) - 1? 6 3 + -7 + (3 - 6) - (22 + -27) -2 What is the value of (27 - 0 - 10) + -13? 4 What is the value of 28 - (-21 + 15 + 22)? 12 What is 0 + -14 + (-15 - -31 - 21)? -19 What is -20 + -15 + 32 - -28? 25 What is the value of -1 + (3 + -17 - -2) + (-44 - -45)? -12 What is -134 + 120 + 12 + -5? -7 What is -10 + 16 - (1 + (0 - 0 - 10))? 15 What is the value of 0 - (-3 + (4 - (6 - -4) - -19))? -10 Evaluate (-3 - 2) + (16 - 10 - 3). -2 Evaluate (-8 - (-1 + -1)) + (9 - (-4 + -3)). 10 (15 - 22) + -3 - 7 -17 4 - (8 - (-7 - -20)) 9 Evaluate -232 + 239 + -1 + -9. -3 What is -23 + (-18 + 7 - -24) + -2? -12 -2 + -10 + (-7 - -10) - (-1 + -1) -7 What is the value of -6 + (21 - 1) - 23? -9 What is the value of -13 - (-26 + (23 - -9) - (-3 + -1))? -23 What is the value of (-4 - (3 + 1)) + (-2 - (-10 - 0))? 0 What is -4 - -2 - (-52 - -57 - (11 + -1))? 3 Evaluate -9 - (-43 + 16 + 17). 1 -11 + 2 + (-58 - -49) + (14 - 1) -5 1 + -21 + -552 + 559 -13 What is (-8 - -7) + (0 - (2 - 10 - 1))? 8 -121 + 117 + (-11 - -2) -13 2 + (15 - (15 + -8)) 10 What is the value of -52 - -34 - (4 - 29)? 7 Calculate 10 + 12 + -37 + 8. -7 What is -20 - (4 + -16 - 12)? 4 Evaluate -5 - (-1 + 1 - (52 - 54)). -7 Calculate (-13 - -6) + (29 - 8) + -6. 8 -6 - ((4 - 1) + -4) - -4 - 6 -7 What is the value of (-78 - -67 - (3 + -52)) + -8? 30 What is 4 + 5 - 3 - (7 - 6 - -11)? -6 11 + -3 + -10 + (-1 - 3) - -16 10 2 - (17 + -10 + 1 + 0 - 3) -3 What is 66 + -5 + 47 + -76? 32 Calculate -8 - -28 - (86 - 85). 19 Evaluate 36 - (24 - -19 - -22). -29 What is the value of (-27 - -46 - 18) + 1 + -2 - 21? -21 -29 + (-37 - -75) - (0 - (0 + -39)) -30 Evaluate -3 + (1 - 24 - (-26 + 14)). -14 What is 4 + (-24 + 29 - (13 + -2)) - 9? -11 -2 - (-22 + (5 - 5 - -5)) - 3 12 Evaluate -7 - ((-8 - (-6 - -3)) + -9). 7 What is the value of 2 + 0 - (18 - -1 - (15 + -10))? -12 0 + -4 + -4 + 19 + (14 - 4) 21 What is the value of 1 + (6 - (1 - -12)) + (-7 - -13)? 0 (-14 - -46) + (-16 - 4) 12 Evaluate -7 - (-13 + 1 + 16). -11 What is the value of 4 + 9 + -18 + 0 - 6? -11 What is -9 + 14 + -4 + -4 + -3? -6 What is the value of -546 - -577 - (-2 + 30)? 3 What is (-35 - -7) + (-1 + -4 - -8)? -25 41 + (-6 - 47 - -14) 2 What is the value of (10 - -15) + -24 + -2? -1 Evaluate -3 + -8 + (-5 - -8) + -1 + -2. -11 28 - 22 - (10 + -16) 12 What is 0 + 3 + -309 + 296? -10 -65 + 79 - (15 + 0) -1 What is the value of (-45 - -8) + 6 - -15? -16 Evaluate 4 + 9 + 8 + (-3 - 4). 14 Wha
{ "pile_set_name": "DM Mathematics" }
638352153 rounded to 3 dps? -0.016 What is 0.0003636941871 rounded to seven dps? 0.0003637 Round 5843.55656 to the nearest 100. 5800 What is 0.00001007255477 rounded to 7 dps? 0.0000101 What is -2391833.87 rounded to the nearest one hundred thousand? -2400000 Round -0.000246259583 to 6 dps. -0.000246 What is -9314180509 rounded to the nearest 100000? -9314200000 What is -15393360.7 rounded to the nearest 1000000? -15000000 Round -0.0003340467 to seven dps. -0.000334 Round 24.5748922 to 1 dp. 24.6 Round 120880.8324 to the nearest 100. 120900 What is 38288937.5 rounded to the nearest 10000? 38290000 Round -238144.425 to the nearest ten. -238140 Round -1.26897798 to one dp. -1.3 Round 0.00001802315155 to 7 decimal places. 0.000018 What is 0.00301251652 rounded to six decimal places? 0.003013 What is -1384.387616 rounded to the nearest 100? -1400 What is -2792.919 rounded to the nearest ten? -2790 What is -0.000314888577 rounded to seven dps? -0.0003149 What is -0.026442143 rounded to 3 decimal places? -0.026 Round -22838884.95 to the nearest 1000. -22839000 What is 0.04695814148 rounded to four decimal places? 0.047 What is 1.567341555 rounded to one dp? 1.6 What is -187.60423 rounded to the nearest 10? -190 Round 30449724.64 to the nearest 1000000. 30000000 What is 5902755350 rounded to the nearest one million? 5903000000 Round 148.79470367 to 2 dps. 148.79 What is -0.0000072365594 rounded to six dps? -0.000007 What is -8112838.1 rounded to the nearest 10000? -8110000 Round -68317.20933 to the nearest 10. -68320 Round -0.00188172936 to 7 decimal places. -0.0018817 What is -79.872328 rounded to 1 dp? -79.9 What is 118.82561 rounded to one dp? 118.8 What is 0.06881571429 rounded to five decimal places? 0.06882 What is -110.099389 rounded to the nearest 10? -110 What is -1.161025943 rounded to 4 dps? -1.161 Round 686061837 to the nearest 10000. 686060000 Round 0.6674832 to 0 decimal places. 1 What is 0.000002559650905 rounded to 7 dps? 0.0000026 What is 26390053.1 rounded to the nearest 1000? 26390000 Round -60.1859258 to three dps. -60.186 Round 29744.86783 to the nearest one hundred. 29700 What is 1145.633068 rounded to the nearest one hundred? 1100 What is -57.55081717 rounded to the nearest 10? -60 Round -33.761421 to the nearest 10. -30 What is -0.000367095414 rounded to 5 decimal places? -0.00037 What is 0.0001978248213 rounded to 4 dps? 0.0002 Round 38725561.2 to the nearest one hundred thousand. 38700000 Round -1.535809268 to 3 dps. -1.536 What is -1782286.6 rounded to the nearest ten thousand? -1780000 What is -2087008.98 rounded to the nearest 100? -2087000 What is 0.000420394277 rounded to five dps? 0.00042 Round -582882.54 to the nearest 100000. -600000 Round -2621.400529 to 1 dp. -2621.4 Round -0.02051764849 to three decimal places. -0.021 What is -208227.596 rounded to the nearest 10000? -210000 What is 155660.464 rounded to the nearest 1000? 156000 Round -3424.80219 to the nearest one thousand. -3000 What is 0.7964042 rounded to one decimal place? 0.8 Round -0.00110440156 to seven dps. -0.0011044 What is -65.5364069 rounded to the nearest integer? -66 What is -0.00004348061575 rounded to 6 dps? -0.000043 Round -7109235430 to the nearest one million. -7109000000 What is -4144113.193 rounded to the nearest one hundred? -4144100 Round 155.031128 to the nearest ten. 160 What is -12.83121122 rounded to 0 decimal places? -13 Round 8760994.04 to the nearest one thousand. 8761000 Round 1168.54755 to the nearest 10. 1170 Round -267633.191 to the nearest 100000. -300000 What is 0.00017979833 rounded to 5 dps? 0.00018 What is 0.333703314 rounded to 5 decimal places? 0.3337 Round -153133.95 to the nearest 10000. -150000 What is -11829056 rounded to the nearest ten thousand? -11830000 Round 21.3334117 to 0 dps. 21 What is -3.66720055 rounded to 2 decimal places? -3.67 What is 1568.491383 rounded to the nearest one hundred? 1600 What is 1.11364648 rounded to 1 dp? 1.1 Round 26370059.1 to the nearest ten thousand. 26370000 Round -0.0000056296001 to seven decimal places. -0.0000056 Round -0.0002346009 to 5 dps. -0.00023 What is -0.0000063531145 rounded to 4 dps? 0 What is -0.059204351 rounded to 2 decimal places? -0.06 Round -1535238.22 to the nearest one hundred. -1535200 Round 0.01431561845 to 4 decimal places. 0.0143 Round -0.0655993419 to three decimal places. -0.066 What is -760321.362 rounded to the nearest 100000? -800000 What is -0.000464200506 rounded to 6 dps? -0.000464 What is 9538.89639 rounded to the nearest 1000? 10000 What is 1349.79658 rounded to the nearest one hundred? 1300 Round 887738647.6 to the nearest ten thousand. 887740000 Round 14.13553019 to the nearest integer. 14 Round 0.001206087649 to seven decimal places. 0.0012061 Round 0.872631529 to 5 decimal places. 0.87263 What is 1014294.0443 rounded to the nearest one hundred thousand? 1000000 Round -1142.985271 to 1 decimal place. -1143 Round -0.046801393 to 2 decimal places. -0.05 What is 0.002426437 rounded to 3 dps? 0.002 What is -13715.3705 rounded to the nearest 100? -13700 Round -9.23678012 to zero decimal places. -9 What is 0.0205498318 rounded to five dps? 0.02055 What is 0.27603074 rounded to two decimal places? 0.28 What is -0.0000036738181 rounded to seven dps? -0.0000037 Round 4788.11472 to the nearest 10. 4790 What is 156473.619 rounded to the nearest 100? 156500 Round 130.057967 to 0 dps. 130 Round 697.18897 to 1 dp. 697.2 Round -345800.4953 to the nearest 10000. -350000 Round -2965.05874 to the nearest 100. -3000 Round -3694698.14 to the nearest one hundred. -3694700 What is 912054.875 rounded to the nearest one thousand? 912000 Round 1041.51756 to 2 dps. 1041.52 What is -0.00457613557 rounded to six dps? -0.004576 What is -527193.29 rounded to the nearest 1000? -527000 Round 69489.4009 to the nearest ten. 69490 Round 0.206771333 to 3 decimal places. 0.207 What is 0.727866733 rounded to 3 decimal places? 0.728 What is 0.000364238829 rounded to 4 dps? 0.0004 Round -0.0026856984 to 7 dps. -0.0026857 Round 0.000063094073 to six dps. 0.000063 What is 0.58351248 rounded to 2 dps? 0.58 What is 0.0073766084 rounded to four decimal places? 0.0074 What is -1694.727799 rounded to zero decimal places? -1695 Round -0.1086737798 to 5 decimal places. -0.10867 Round -0.0039398864 to four decimal places. -0.0039 Round 0.820829703 to three dps. 0.821 Round 222.05949 to 0 decimal places. 222 Round 1527.550684 to the nearest 10. 1530 What is 0.001376182737 rounded to six decimal places? 0.001376 Round 0.00687607188 to 4 decimal places. 0.0069 What is 53614166 rounded to the nearest one million? 54000000 Round -2.79421591 to 2 dps. -2.79 Round -0.000010146843981 to seven dps. -0.0000101 Round -0.00718112815 to 4 decimal places. -0.0072 Round -369.46842 to the nearest ten. -370 What is -0.000422688812 rounded to 5 decimal places? -0.00042 What is -4246.96814 rounded to the nearest 100? -4200 Round 949913.67 to the nearest ten thousand. 950000 Round -0.88957818 to 1 dp. -0.9 Round 0.00000512444627 to 6 decimal places. 0.000005 Round -50564.469 to the nearest ten thousand. -50000 Round 837890.4218 to the nearest 100000. 800000 Round 0.089133497 to 3 decimal places. 0.089 What is 980465268 rounded to the nearest one hundred thousand? 980500000 Round -1.52268942 to one decimal place. -1.5 What is 553081.48 rounded to the nearest ten thousand? 550000 What is -0.3399054815 rounded to three dps? -0.34 What is -0.010659461876 rounded to six dps? -0.010659 What is -548350.239 rounded to the nearest one million? -1000000 What is -29723250.14 rounded to the nearest one hundred thousand? -29700000 What is 0.000126395175 rounded to six dps? 0.000126 What is -0.000051884279 rounded to five decimal places? -0.00005 What is 416706.2463 rounded to the nearest 100? 416700 What is -0.002876236868 rounded to 4 decimal places? -0.0029 Round -1817.020397 to one dp. -1817 Round -2.031192764 to 4 decimal places. -2.0312 What is 5008264.291 rounded to the nearest one thousand? 5008000 Round -78774535 to the nearest one million. -79000000 Round -188865.29 to the nearest ten thousand. -190000 Round -98942481.8 to the nearest 10000. -98940000 What is 5299181.57 rounded to the nearest 100000? 5300000 Round
{ "pile_set_name": "DM Mathematics" }
hat -3*t**2/7 - 1293*t/7 - 10152/7 = 0. -423, -8 Let 195*r**4/2 - 531*r**3/2 - 8937*r**2/2 - 18225*r/2 - 2187 = 0. What is r? -3, -18/65, 9 Factor 2*x**2/3 - 19532*x - 117216. 2*(x - 29304)*(x + 6)/3 Let -3*h**2 + 189*h + 1704 = 0. What is h? -8, 71 Find r such that 2*r**3/25 - 4644*r**2/25 - 744*r - 18608/25 = 0. -2, 2326 Factor -3*q**3 - 186*q**2 - 1623*q - 3276. -3*(q + 3)*(q + 7)*(q + 52) Factor 158*f**2 + 1418*f - 36. 2*(f + 9)*(79*f - 2) Suppose 5*q**2/4 + 13*q/4 - 187 = 0. What is q? -68/5, 11 Determine j so that 5*j**4 + 1935*j**3 - 5930*j**2 - 31260*j - 23400 = 0. -390, -2, -1, 6 Solve 3*b**4/5 + 447*b**3/5 + 1314*b**2/5 - 12*b/5 - 1752/5 = 0 for b. -146, -2, 1 Suppose -t**4 - 327*t**3 + 30960*t**2 - 651200*t = 0. Calculate t. -407, 0, 40 Find o, given that o**5/3 - 5*o**4/3 - 358*o**3/3 - 352*o**2/3 = 0. -16, -1, 0, 22 Suppose 5*g**3 + 20*g**2 - 2820*g + 15120 = 0. What is g? -28, 6, 18 Suppose n**3/4 + 497*n**2/4 - 1518*n + 4581 = 0. What is n? -509, 6 Factor c**3/3 + 490*c**2/3 - 1973*c/3 + 494. (c - 3)*(c - 1)*(c + 494)/3 Let -m**4/2 + 3911*m**3/2 + 5870*m**2 + 3914*m = 0. Calculate m. -2, -1, 0, 3914 Factor 2*t**3/9 + 16*t**2/9 - 46*t/9 - 20/3. 2*(t - 3)*(t + 1)*(t + 10)/9 Find g such that 20*g**4/3 - 3128*g**3/3 + 4436*g**2 + 10376*g/3 - 6080/3 = 0. -1, 2/5, 5, 152 Solve x**3/2 + 4247*x**2/2 - 25545*x/2 - 114831/2 = 0 for x. -4253, -3, 9 Factor -100*d**3 + 279080*d**2 + 335004*d + 100512. -4*(d - 2792)*(5*d + 3)**2 Suppose 5*m**3 + 1725*m**2 + 13435*m - 15165 = 0. Calculate m. -337, -9, 1 Factor 2*w**2 - 998074*w + 1996140. 2*(w - 499035)*(w - 2) Solve f**5 + 109*f**4 - 944*f**3 - 276524*f**2 - 1091360*f - 1085888 = 0 for f. -76, -2, 47 Factor -4*t**5 - 353784*t**4 - 1061328*t**3 - 1061320*t**2 - 353772*t. -4*t*(t + 1)**3*(t + 88443) Find k such that 2662*k**4/13 - 87357402*k**3/13 - 47650020*k**2/13 - 8663672*k/13 - 525072/13 = 0. -2/11, 32817 Factor -4*t**2 - 49288*t. -4*t*(t + 12322) Find v, given that -21*v**3 - 528*v**2 - 2631*v - 3420 = 0. -19, -4, -15/7 Factor -2*w**4/21 + 1244*w**3 - 37905920*w**2/7 + 164852689300*w/21 + 165194077750/7. -2*(w - 4355)**3*(w + 3)/21 Solve -5*d**4 + 35*d**3 + 2555*d**2 - 7835*d + 5250 = 0. -21, 1, 2, 25 Factor -155226681*f**2/2 + 174426*f - 98. -(12459*f - 14)**2/2 Find z, given that 477*z**4/2 + 2478*z**3 + 4353*z**2 + 2226*z + 225/2 = 0. -25/3, -1, -3/53 Suppose -c**5 + 24404*c**4 - 198534664*c**3 + 538558126624*c**2 - 1074734813264*c - 4305290800832 = 0. What is c? -2, 4, 8134 Factor -i**3/7 + 431*i**2/7 - 5000*i/7 - 1676. -(i - 419)*(i - 14)*(i + 2)/7 Factor 5*v**2 + 2320*v + 54875. 5*(v + 25)*(v + 439) Factor 3*a**3 + 150*a**2 - 2847*a + 5070. 3*(a - 13)*(a - 2)*(a + 65) Factor -242*r**2/3 + 45260*r/3 - 374. -2*(r - 187)*(121*r - 3)/3 Factor 2*o**2/5 - 88108*o/5 + 970377458/5. 2*(o - 22027)**2/5 Find m such that 2*m**5/7 - 4*m**4 - 304*m**3/7 + 60*m**2/7 + 450*m = 0. -5, 0, 3, 21 Factor 2*g**3 + 38*g**2 - 44*g - 80. 2*(g - 2)*(g + 1)*(g + 20) Solve -3*o**3/8 - 10713*o**2 - 612183663*o/8 - 612012267/4 = 0. -14283, -2 Factor h**2/3 + 121*h/3 + 968. (h + 33)*(h + 88)/3 Suppose y**2 - 127*y + 250 = 0. What is y? 2, 125 Factor -2*z**3/17 - 9994*z**2/17 - 12490000*z/17 - 12480008/17. -2*(z + 1)*(z + 2498)**2/17 Find f, given that f**4/7 - 3263*f**3/7 + 9780*f**2/7 + 4*f/7 - 13040/7 = 0. -1, 2, 3260 Factor 5*q**3/2 + 695*q**2/2 + 25795*q/2 + 112225/2. 5*(q + 5)*(q + 67)**2/2 Factor 3*y**2 - 7278*y + 603720. 3*(y - 2340)*(y - 86) Solve 121*r**3/2 + 319*r**2/10 - 4*r/5 - 8/5 = 0 for r. -4/11, 1/5 Factor -5*v**3 + 950*v**2 + 4845*v + 5850. -5*(v - 195)*(v + 2)*(v + 3) Factor 2*h**3/3 - 8*h**2 - 136*h - 704/3. 2*(h - 22)*(h + 2)*(h + 8)/3 Factor -4*y**2/9 - 100*y + 21736/9. -4*(y - 22)*(y + 247)/9 Factor 2*p**3/3 + 296150*p**2 - 888452*p/3. 2*p*(p - 1)*(p + 444226)/3 Factor z**4/2 + 491*z**3/2 - 1747*z**2 - 1992*z. z*(z - 8)*(z + 1)*(z + 498)/2 Suppose 2*z**4/3 + 18*z**3 - 132*z**2 = 0. What is z? -33, 0, 6 Let 2*d**3/23 + 956*d**2/23 - 958*d/23 = 0. Calculate d. -479, 0, 1 Factor -3*x**3 + 120639*x**2 - 1212753705*x - 1212874347. -3*(x - 20107)**2*(x + 1) Solve -3*j**3 + 12*j**2 + 576*j = 0 for j. -12, 0, 16 Find m such that -m**3 - 676*m**2 + 9*m + 6084 = 0. -676, -3, 3 Find h such that -2*h**5/3 - 308*h**4 + 4684*h**3/3 + 2176*h**2 - 4682*h/3 - 1868 = 0. -467, -1, 1, 6 Solve -4*a**2 + 3036*a + 359008 = 0 for a. -104, 863 Suppose 10*m**2 - 2573325*m - 1286665 = 0. Calculate m. -1/2, 257333 Factor 5*n**2 - 36305*n - 145300. 5*(n - 7265)*(n + 4) Factor 4*h**2/3 + 5009776*h/3 + 1568615973136/3. 4*(h + 626222)**2/3 Determine f, given that -15*f**4 + 3624*f**3 - 238494*f**2 + 2323920*f - 1309275 = 0. 3/5, 11, 115 Let a**4/6 + 5*a**3 + 98*a**2/3 + 76*a + 176/3 = 0. Calculate a. -22, -4, -2 Determine s, given that -3*s**2 - 426*s + 24552 = 0. -186, 44 Factor 2*v**2/5 - 942302*v/5 - 942304/5. 2*(v - 471152)*(v + 1)/5 Factor -196*u**3 + 3342220*u**2 - 3819488*u + 1091264. -4*(u - 17051)*(7*u - 4)**2 Factor -b**2 - 18950*b - 89775625. -(b + 9475)**2 Find m such that 3*m**4 + 744237*m**3 - 3*m**2 - 744237*m = 0. -248079, -1, 0, 1 Factor -32*r**3/9 - 13360*r**2/9 - 1360450*r/9 + 7140250/9. -2*(r - 5)*(4*r + 845)**2/9 Factor 3*b**3 + 15762*b**2 + 31515*b + 15756. 3*(b + 1)**2*(b + 5252) Factor 5*v**2 + 10420*v - 20860. 5*(v - 2)*(v + 2086) Determine a so that -27*a**4 - 31401*a**3 - 31383*a**2 - 10459*a - 1162 = 0. -1162, -1/3 Factor 4*l**2 + 19632*l + 24088464. 4*(l + 2454)**2 Factor -2*y**3 + 4044*y**2 + 4050*y - 8092. -2*(y - 2023)*(y - 1)*(y + 2) Factor 4*a**4 - 596*a**3 + 2828*a**2 + 7460*a + 4032. 4*(a - 144)*(a - 7)*(a + 1)**2 Let -3*x**2 + 52128*x - 226444032 = 0. What is x? 8688 Determine o, given that -o**4/6 - 83*o**3/6 + 1105*o**2/6 - 3301*o/6 + 380 = 0. -95, 1, 3, 8 Solve -2*q**3/11 + 20874*q**2/11 - 54475920*q/11 + 54455048/11 = 0. 1, 5218 Let -o**5/2 - 1169*o**4/2 + 2345*o**3/2 + 3513*o**2/2 = 0. Calculate o. -1171, -1, 0, 3 Find c such that c**5 + 166*c**4 + 327*c**3 - 166*c**2 - 328*c = 0. -164, -2, -1, 0, 1 Suppose 9*t**5/5 - 12*t**4 + 9*t**3 + 54*t**2 - 264*t/5 = 0. What is t? -2, 0, 1, 11/3, 4 Factor 12*l**2 - 2103*l - 1584. 3*(l - 176)*(4*l + 3) Solve -2*g**2/5 + 95272*g/5 + 95274/5 = 0 for g. -1, 47637 Factor -3*x**3/4 + 609*x**2/4 + 3735*x/4 + 5643/4. -3*(x - 209)*(x + 3)**2/4 Determine p, given that -p**2 + 15101*p + 45312 = 0. -3, 15104 Solve -3*r**5 - 336*r**4 - 3438*r**3 + 382536*r**2 + 385641*r = 0. -69, -1, 0, 27 Factor 24642*j**3 + 957486*j**2 + 8803760*j - 9785888. 2*(j - 1)*(111*j + 2212)**2 Let -3*z**3 + 288*z**2 - 5505*z - 5796 = 0. Calculate z. -1, 28, 69 Factor -3*g**2/5 + 74082*g/5 - 457345227/5. -3*(g - 12347)**2/5 Find j, given that -2*j**3 + 1298*j**2 - 207318*j - 1069290 = 0. -5, 327 Suppose -4*j**3 - 1168*j**2 - 9148*j - 17040 = 0. What is j? -284, -5, -3 Suppose 2*m**5/5 - 176*m**4/15 + 104*m**3/3 + 4*m**2/3 - 526*m/15 + 52/5 = 0. What is m? -1, 1/3, 1, 3, 26 Find i, given that -5*i**2 - 958880*i - 45972542720 = 0. -95888 Let -28880*q**2 - 2280*q - 45 = 0. What is q? -3/76 Factor -r**2 + 460269*r - 460268. -(r - 460268)*(r - 1) Find r such that -2*r**4 + 49072*r**3 - 301105774*r**2 + 1203785240*r - 902728536 = 0. 1, 3, 12266 Factor -3*q**4 - 2226*q**3 - 399351*q**2 + 5035212*q - 15349932. -3*(q - 6)**2*(q + 377)**2 Factor -j**2/4 + 1111*j/2 - 2221/4. -(j - 2221)*(j - 1)/4 Factor -3*y**3/8 - 8535*y**2/8 + 8553*y - 17118. -3*(y - 4)**2*(y + 2853)/8 Determine c, given that c**5/2 - 1313*c**4/2 - 9*c**3/2 + 11813*c**2/2 + 2632*c - 7878 = 0. -2, 1, 3, 1313 Let b**5/6 + 553*b**4/3 - 3344*b**3/3 - 8896*b**2/3 = 0. What is b? -1112, -2, 0, 8 Factor w**3 + 318*w**2 + 33633*w + 1183316. (w + 101)**2*(w + 116) Find i such that 2*i**3/11 + 252*i**2/11 + 294*i - 30184 = 0. -77, 28 Factor x**2/2 + 152235*x + 23175495225/2. (x + 152235)**2/2 Suppose -5*b**5/2 + 775*b**4 + 8830*b**3 - 775*b**2 - 17655*b/2 = 0. What is b? -11, -1, 0, 1, 321 Suppose 3*y**2/8 - 195*y + 50025/2 = 0. Calculate y. 230, 290 Let -n**2/6 - 1490*n - 116051/6 = 0. What is n? -8927, -13 Factor -n**2 - 331*n - 23968. -(n + 107)*(n + 224) Factor 5*m**3 - 50*m**2 - 3685*m - 3630. 5*(m - 33)*(m + 1)*(m + 22) What is d in d**2/3 - 10203*d = 0? 0, 30609 Factor 2*y**2/13 - 45728*y/13 + 261381248/13. 2*(y - 1143
{ "pile_set_name": "DM Mathematics" }
the form s*k + u*k**3 + v + t*k**2 + w*k**4 and give v. -4 Express (2*t**3 - 5*t**3 + 2*t**3)*(0*t + 0*t - 2*t) + 11*t**3 - 235*t**4 + 16*t**4 - 11*t**3 in the form n + w*t**2 + i*t**4 + h*t**3 + u*t and give w. 0 Rearrange -4*a**3 + 5*a**3 + 3*a**3 + (-5 + 3 + 4)*(0*a**3 - a**3 + 3*a**3) + 7*a**3 - a**3 - 7*a**3 to the form y*a + n*a**3 + o*a**2 + b and give o. 0 Express 3*n + 2 - 1 - 2 + (0 + 7 - 1)*(6*n + 0*n - 5*n) in the form i*n + z and give i. 9 Express ((-4 - 3 + 6)*(-8*n - 9*n + 23*n) - 4*n + n + 4*n)*(-5*n + 0*n + 4*n) in the form t*n + q + l*n**2 and give l. 5 Express 2*v**3 + 13 - 29*v - 3*v**3 + 31*v + 2*v**3 as r*v**3 + h*v**2 + g*v + k and give r. 1 Express (-a + 3*a + a)*(2*a + 3*a - 2*a)*(-2 + a**2 + 2) as w*a + p*a**2 + m*a**3 + k + r*a**4 and give m. 0 Express 0 - 3*j**4 + 0 - j**3 + 2*j**4 + 6*j as r*j**2 + l*j**3 + f*j + o + p*j**4 and give f. 6 Express -15*s + 9*s + 6*s - 41*s + 1 as d + w*s and give w. -41 Rearrange -2*o + 5*o - 3*o + 8*o to the form p*o + t and give p. 8 Express -2*t**2 - 15 - 3*t**3 + t**3 - 2*t + 8*t**4 + 14 + 4*t**2 as i*t**2 + s*t**3 + y*t**4 + b + g*t and give g. -2 Rearrange -9 + 3*m - m**3 + 0*m**2 + 4 - 2*m**2 + 4*m**2 to b + z*m**3 + c*m**2 + n*m and give n. 3 Rearrange r - 2*r**2 - 5*r + 3*r to the form v*r**2 + s*r + h and give v. -2 Rearrange -5*m**2 + 23*m**2 + 7*m - 7*m to d*m + s + a*m**2 and give a. 18 Rearrange (6 - 8 + 2*g + 4*g)*(-2*g - 2*g + 2*g) to the form l + t*g**2 + v*g and give v. 4 Express (0*x - x - 2*x)*(2*x - 2*x + 4*x**3) + x**2 + 4*x**4 - 15*x**4 + 29*x**4 in the form h*x**3 + w*x + g*x**2 + k*x**4 + v and give k. 6 Express 5*i - 3*i**3 - 6*i + 7*i**2 - 2*i**3 + 2*i**3 as n*i**2 + f*i + b*i**3 + o and give f. -1 Express 6*n**2 + 3*n**3 - 6*n**2 - 2 - n**2 - 3*n**2 in the form b*n**3 + s*n + v*n**2 + t and give b. 3 Rearrange (0*k**4 + k**4 + k**4)*(33 - 11 - 10) to the form s*k**3 + c + a*k + h*k**4 + p*k**2 and give p. 0 Rearrange (-12 + 17 + 18)*(-2 + 2 + 3*g) to the form k*g + n and give k. 69 Express -7*i**3 + 30 - 3*i**3 - 33 in the form z + h*i**2 + l*i + d*i**3 and give z. -3 Express -b**4 - 4*b**4 + 12*b**4 + (2*b**4 + 4*b - 4*b)*(-1 + 6 - 2) as u*b + g*b**3 + t*b**4 + f*b**2 + c and give t. 13 Express -2*y**2 + 12 - 14*y**2 - 2*y**3 - 12 as p*y**3 + q + n*y + d*y**2 and give p. -2 Rearrange -2*u**4 + u**2 - 1 + 0*u**2 + 5*u**4 + 0 to y*u**3 + m*u**4 + z*u + r*u**2 + d and give r. 1 Express ((1 + 2 + 0)*(-2 + 2 - 1) + 2 - 3 + 0)*(23*l - 23*l - 6*l**4) in the form u*l**2 + z*l**3 + d*l**4 + h + r*l and give d. 24 Rearrange -12*r - 2*r**2 + 9*r + 7*r to m*r + w + x*r**2 and give x. -2 Express 2 + 7*t**2 - t**2 - 3 - 2*t**2 in the form n*t**2 + b + p*t and give n. 4 Rearrange 4*c**2 - 2*c**2 - c**2 + c**2 + 0*c**2 - 6*c**2 + (0*c - 5*c + 3*c)*(23 - 23 - 27*c) to x*c + d*c**2 + u and give u. 0 Express (0*h**2 + 0*h**2 - 3*h**2)*(25*h + 15*h - 8*h) in the form z*h**3 + q*h + f*h**2 + j and give q. 0 Rearrange (3*z + 2*z - 3*z)*(1 - 3 + 3)*(1 + 1 + 0)*(7 - 11 - 3) to a*z + w and give a. -28 Express 0*a**2 + 7*a**2 - 2*a - 3*a**2 + 8*a**2 in the form t*a + d + n*a**2 and give d. 0 Express -20 - 109*i + 56*i + 52*i as q + y*i and give y. -1 Express (-2*b**2 + 3*b**2 - 2*b**2)*(17*b + 25*b - 7*b) as a*b + k + m*b**3 + d*b**2 and give m. -35 Express (-2 + t**3 + 2)*(6 + 14 + 2*t - 16) in the form h*t**3 + v*t**2 + b*t**4 + j*t + m and give b. 2 Rearrange -k**2 - 3 - 2 + 3 + 6*k**2 to the form g + l*k**2 + d*k and give g. -2 Rearrange 3 + 52*r**2 - 36*r**2 - 3 to p*r + b*r**2 + c and give b. 16 Rearrange 4*h**2 - 2*h**3 + 2 - 172*h - 9*h**4 + 172*h to the form y*h + j*h**4 + u + c*h**2 + m*h**3 and give j. -9 Rearrange (0 + 5 + 1)*(-k + 3*k - k)*(3 - 3 + 1)*(-3*k**2 + 2*k**2 + 4*k**2) to x*k + h + z*k**3 + y*k**2 and give y. 0 Express (9 + 38 - 13)*(2*z - 5*z + z) in the form m + w*z and give w. -68 Express -3*h + 17*h - 15*h + 3*h**2 + 9*h**3 in the form o*h**3 + x*h + q + w*h**2 and give x. -1 Express (2*l - l + 11*l)*(2 - 2*l - 2 - l + 0 + 0 - 3*l + 5*l - 4*l + (1 - 1 + l)*(-2 + 2 + 1) - l - 1 + 1) as o*l + d*l**2 + w and give d. -60 Express -20*d**3 + 1 - 1 + (-4*d**3 - 4 + 4)*(-2 + 1 + 0) as x*d**3 + z*d + m + w*d**2 and give x. -16 Rearrange 5*b**2 - 2*b**2 - 2*b**2 + (8 + 7 - 4)*(-3*b**2 + 2*b**2 + 0*b**2) to k + d*b + s*b**2 and give k. 0 Express 43*m**2 - 12*m**2 + 18*m**2 + 6*m**2 in the form n*m**2 + c + x*m and give n. 55 Rearrange -9*i**3 + 11*i**3 - i**2 + 2*i - 3*i to q*i**2 + o*i**3 + f*i + b and give f. -1 Rearrange -13*w**3 + 6*w**4 + 6 - w + 15*w**3 - 3*w**4 to b + l*w**3 + f*w**4 + c*w + n*w**2 and give c. -1 Express -7 + 6 + 1 + 4*j in the form b + w*j and give w. 4 Express 4*h**2 + h**4 - 3 + 7 - 6 + 2*h**3 as d*h**4 + t*h + c*h**2 + y + r*h**3 and give d. 1 Rearrange -2*t**2 + 4*t**2 - 2*t - 3*t**2 to u*t**2 + a + k*t and give u. -1 Rearrange (3*f + 5*f - 4*f)*(19*f - 19*f + 4*f**2) + (0 + 4 - 2)*(-2*f**3 - f**3 + f**3) to o + p*f**2 + y*f**3 + c*f and give o. 0 Express -s - 2*s**2 - 57 + 8*s + 30 + 30 in the form t*s**2 + y + g*s and give g. 7 Express 5 - 29*u - 5 - u**2 + 10*u as n + m*u + g*u**2 and give m. -19 Express 4259*b - 4259*b + 19*b**2 in the form q*b**2 + m*b + v and give q. 19 Rearrange -198 + 10*p**2 + 198 to u*p + w + y*p**2 and give y. 10 Rearrange 3*o**2 + 155*o**2 + 101*o**2 - 52*o**2 to the form u + w*o + p*o**2 and give p. 207 Express -48 + 48 - 6*h**2 as c*h + q + y*h**2 and give y. -6 Rearrange 1 - k - 1 + 35*k to the form q + v*k and give v. 34 Rearrange -9*a - 8*a + a**3 - 2*a**2 + 13*a to t*a**2 + s*a + d + x*a**3 and give s. -4 Express 3802*l + 2 - 3802*l - 4*l**4 + 9*l**2 + 3*l**2 in the form f*l + a*l**3 + h + c*l**2 + y*l**4 and give c. 12 Express -265*a**2 + 1 + 265*a**2 - 2*a**3 + 6*a as l*a**3 + n*a**2 + v*a + t and give l. -2 Rearrange 20*c - 49*c - 52*c + 14*c to v*c + z and give v. -67 Express o**2 - 15*o**2 - 3*o**2 - 10*o**2 as u*o**2 + z + c*o and give z. 0 Rearrange 7*h**3 + 8*h**2 - 10*h**2 + 2*h - 4*h**3 to d*h + l*h**3 + r*h**2 + m and give r. -2 Rearrange 0*b**4 + 0*b**4 - b**4 + (3*b**3 - 3*b**3 + 2*b**3)*(-6*b + b + 0*b) to v + t*b + u*b**3 + p*b**2 + c*b**4 and give c. -11 Express 812 - i**3 + 2*i**3 - 810 + 12*i in the form r*i**2 + c*i + y + h*i**3 and give y. 2 Rearrange (0 + 0 + b)*(b - 5*b + 3*b) - 74*b + 0 + 6*b**2 + 1 + 75*b to p*b + m*b**2 + k and give p. 1 Express -4*n**4 - 2*n**3 - 15*n**2 + 3 + 17*n**2 - 4 as f + z*n**4 + g*n + b*n**3 + c*n**2 and give f. -1 Express 18*p + 9*p - 24*p as q + y*p and give y. 3 Rearrange -3*d**2 - 22*d**2 + 38 - 40 to i*d**2 + o*d + z and give z. -2 Rearrange (-6*n - 8*n**2 + 6*n)*(n - 12*n + 0*n) to y*n**2 + g + d*n + w*n**3 and give g. 0 Express 10*o - 13*o + 29*o + 78*o in the form x*o + t and give x. 104 Rearrange (1 - 4 - 1)*(7 - 4 - 4)*(-7*y + 8*y - 22*y) to r + g*y and give g. -84 Express 9*p + 18*p - 5*p in the form y + i*p and give y. 0 Express 6*i**2 - 23 + 25 - 2*i + 2*i**2 - i**3 in the form k*i**2 + s + z*i**3 + y*i and give y. -2 Rearrange 483 - 133*g**2 - 483 to m*g + b*g**2 + l and give b. -133 Rearrange 1 + 15*h - 16*h - 1 to u + d*h and give d. -1 Rearrange -24*b**2 - 2*b - 2 - 22*b**2 + 54*b**2 + (b - 2*b - b)*(-b + 2*b - 3*b) to j + k*b + l*b**2 and give l. 12 Express (-2*a + 2*a + a)*(-4*a + 4*a - 4*a) + 10*a**2 + 8*a**2 - 19*a**2 - a + 2 as u + q*a**2 + y*a and give y. -1 Rearrange -17 + 17 + 9*i**2 + (i**2 + i**2 + i**2)*(-2 + 5 - 2) - i + i - 2*i**2 to m*i**2 + j + z*i and give m. 10 Rearrange -39*c**2 + 27*c**2 + 24*c**2 to the form x + r*c + u*c**2 and give u. 12 Express (12*z + 1 + 17*z - 32*z)*(5*z - 4*z - 3*z) in the form t*z + f + i*z**2 and give t. -2 Express -4*r**3 + 0*r**3 + 4*r**3 + 2*r**2 + 5*r**3 as s*r + y + a*r**2 + c*r**3 and give a. 2 Express -10*m**3 + 4*m**4 - 1 - 3*m**4 - m**2 + 11*m**3 in the form w*m**2 + p*m + o + r*m**3 + c*m**4 and give w. -1 Express (7 - 2 + 2)*(2 + 3*p - 2) in the form z + v*p and give v. 21 Express ((-m + 0*m + 0*m)*(m + 5*m - 4*m) + (-3*m + 2*m + 2*m)*(3*m - 3*m - m))*(-3*m + 3*m + 3*m)*(-3 + 1 + 7) as z*m + i + d*m**2 + s*m**3 and give s. -45 Rearrange 33*d - 2*d**3 + 6*d**3 - 24*d**3 - 35*d to m*d + h + u*d**2 + s*d**3 and give m. -2 Express -c - 2*c - 8*c in the form s*c + x and give s.
{ "pile_set_name": "DM Mathematics" }
*3 and give q. 110 Rearrange (27*r - 6589 + 6589 + (-3*r - r + 3*r)*(-1 - 3 + 3) - 1 - 29*r + 27*r + 3)*(16 + 3 - 2) to the form g*r + c and give g. 442 Express 559*z**2 + z**3 + 203*z**2 + 188*z**2 in the form m*z + a*z**3 + i*z**2 + l and give i. 950 Express 788*l**2 + 1116*l**2 + 2850*l**2 in the form b*l + x + u*l**2 and give u. 4754 Rearrange 4*b**3 - 14*b + 11*b**2 - 7*b**2 + 1 - 5*b**2 + 11*b + 129*b**4 - 5*b**3 to a + y*b**4 + t*b + z*b**2 + u*b**3 and give a. 1 Express 1 - 5*p**2 - 3*p**2 - 2*p**4 + p**2 - 50*p**3 + 11*p**2 - 2*p**2 as x*p**4 + k + s*p**3 + i*p**2 + h*p and give x. -2 Rearrange 49*m - 14*m**2 - 49*m + (-12 + 31 - 2 - 2*m)*(-4*m + 14*m - 2*m) to the form g*m**2 + a*m + l and give g. -30 Rearrange (0*z**2 + 86*z - 488*z + 3*z**2 - 117*z)*(-z**2 + 3*z**2 - z**2) to w*z**3 + p*z**4 + o*z + a + y*z**2 and give p. 3 Rearrange -1735*i**3 + 2*i - 2 + 3172*i**3 - 1402*i**3 - 2*i**4 - 3*i**2 to v + n*i**2 + r*i**4 + c*i**3 + j*i and give c. 35 Express -996*r + 2457*r - 897*r in the form n + m*r and give m. 564 Express -16 - 17*o**4 + 30*o**4 + 18*o**3 - 20*o**3 - 3*o**2 - 12*o**4 + 4*o**2 in the form g*o + i + n*o**2 + q*o**4 + w*o**3 and give i. -16 Express -27 - 1317*f**3 + 3*f**2 + 3*f**4 + 1969*f**3 + 928*f**3 + 29 - 5*f**4 in the form q*f**4 + s*f**2 + t*f**3 + k*f + o and give q. -2 Rearrange -527*d + 7 - 10*d**2 - 9 + 437*d to n + l*d + k*d**2 and give n. -2 Rearrange 7 + 3650*c - 3649*c + 4 - 172*c**4 + c**3 to d*c**4 + m + s*c + i*c**3 + b*c**2 and give b. 0 Rearrange 79*f**2 - 18*f - 28*f**2 + 16*f + (2*f + 3*f - 4*f)*(f + f - f) to c*f + x*f**2 + m and give x. 52 Rearrange -144380*u - 2*u**4 + 144379*u - 4*u**2 + 256 - 33 to a + f*u**2 + j*u**4 + d*u + z*u**3 and give a. 223 Rearrange (-3*d + 0*d + d)*(-3*d - 2*d + 3*d) - 3*d**2 + 3*d**2 + d**2 + 4*d - 4*d - 167*d**2 - d + 28*d**2 + 2 - 38*d**2 - 3*d to i*d + b + h*d**2 and give i. -4 Rearrange (12 + 7*s**2 + 10*s**2 - 16*s**2)*(-1161*s + 529*s + 190*s) to the form r*s**2 + t + m*s + u*s**3 and give m. -5304 Express (49810092*i - 49810092*i + 9824*i**2)*(-3 + 0 + 4) as x*i**2 + k*i + f and give x. 9824 Express 14 - 6*f - 10 - 9 - 55*f + 9*f in the form s + q*f and give q. -52 Rearrange -273*o**3 + 89*o**3 + 89*o**3 + 423*o**2 + 94*o**3 + 2*o to the form x*o**2 + f*o**3 + i*o + y and give f. -1 Rearrange (7*p - 3*p + 3*p)*(-6*p + 3*p + 2*p) + (-20 + 20 - p)*(6*p + p - 4*p) to the form y*p**2 + q*p + k and give y. -10 Rearrange -3422*c + 601*c - 1102*c to the form x + n*c and give n. -3923 Express 70*r - 8 - 18 - 6 + 17*r + 33 as q*r + o and give q. 87 Express -4644*v**2 + 26*v - 6*v + 4652*v**2 - 4 - 4 in the form o*v + q + f*v**2 and give o. 20 Rearrange 137 + 135 - 411 + 1169*w**2 + 137 + 1456*w**2 to the form a + p*w + g*w**2 and give a. -2 Express -112740*r**2 - r + 32 + 112738*r**2 + 0*r**3 - 28*r**3 in the form u + j*r**2 + f*r + t*r**3 and give u. 32 Express 2*o - 37*o**3 + 1112 + 35*o**3 - 1086 - o**2 as m*o + h*o**2 + u*o**3 + q and give h. -1 Express -933190 + 933190 + 3943*o**3 - o + o + o**2 + 2*o**3 - o**2 + (0*o + 0*o + 2*o**2)*(-2*o + 0*o + 0*o) as m*o**3 + g + r*o + z*o**2 and give m. 3941 Rearrange (-28*l**2 - 8*l**2 + l**2)*(0 - 3 + 2) - 22*l**2 + 4 - 4 to the form q + f*l + b*l**2 and give b. 13 Rearrange -172 + 177 + 6*x**2 - 204*x - 5*x**2 + 5*x**2 - 5*x**2 to k*x + y + t*x**2 and give y. 5 Rearrange (410*i**2 - 771*i**2 + 412*i**2 + (i - 2*i - i)*(2*i + 1 - 1) + 471*i - 39*i**2 - 471*i)*(8 - 14 + 8) to the form y*i**2 + z*i + c and give y. 16 Rearrange 12262*y + 8960*y + 9918*y + 3961*y - 8942*y to the form n*y + p and give n. 26159 Rearrange (-44 + 44 - 49*f)*(-6 - 2 + 2) + (-f + 2*f + f)*(-2 + 0 + 1) - 1 + 1 + f - 3 + 3 - 3*f + 2 - 2*f + 1 + f to the form b*f + p and give p. 3 Rearrange (3*c - 3*c + c)*(54*c - 4 + 47*c - 113*c + (1 + 3 - 5)*(-5 + 5 - 23*c)) to the form o*c**2 + f*c + j and give j. 0 Rearrange (12*d - d - 8*d)*(66 + 66 - 30) + (-1 - 1 + 0)*(-5*d + 3*d - d) to q*d + p and give p. 0 Express 2649 - 2649 + 3*v**2 + 12*v**3 - 35*v**3 - v - 2*v**2 + 6*v**4 as c*v + h + b*v**3 + o*v**2 + f*v**4 and give o. 1 Express 43*p - 7 - 91*p + 19*p - 31*p as m*p + u and give m. -60 Rearrange 6 - 2 - 5 + 123*p + (-1 + 4 - 2)*(2 - 3*p - 2)*(0 - 3 - 2) to the form g + y*p and give g. -1 Rearrange (y - y - 2*y)*(-109*y + 40*y - 104*y)*(2*y - 2*y + y) + 27*y**3 + 1274*y**2 - 1274*y**2 to the form u*y + b*y**3 + p*y**2 + v and give b. 373 Express -147*d**2 - 4*d + 56290 - 56290 as r*d**2 + x + l*d and give l. -4 Rearrange (-18 - 45 + 128)*(-4*p + 0*p + 3*p + (-1 + 0 + 0)*(4*p - 3*p + 2*p) + p - 1 + 1) to k*p + z and give k. -195 Rearrange -440178 - 5*g**2 + 440178 - 297*g to the form k*g + x + p*g**2 and give k. -297 Express -j - 14*j**3 - 4376 + 6*j**3 - 2*j**2 - 10*j**3 + 4378 in the form f*j**2 + o*j + s*j**3 + r and give s. -18 Express -9*x**3 + 1043*x - 1 - 212*x**4 + 211*x**4 + 17*x**3 - 7*x**3 in the form z*x**2 + b*x**4 + v*x + w + f*x**3 and give f. 1 Express 1431*b + 11897 - 11897 + (-2*b + 2*b - b)*(2 - 1 - 2) - 2*b - b + b in the form p + q*b and give q. 1430 Express 6278*u - 2146 + 4311 - 2167 in the form v + z*u and give z. 6278 Rearrange -520*m - 274*m - 1244*m - 1869*m to o*m + h and give o. -3907 Rearrange (13 + 543*p - 77*p - 14)*(-2*p**2 + p**2 - 2*p**2)*(5 - 20 - 11) to the form b + f*p**2 + x*p + g*p**3 and give g. 36348 Express b**2 + 52*b**4 + 22*b**3 + 17*b**3 + 60 + 2*b**3 - 7*b**3 - 54*b**4 in the form z*b + y*b**4 + n*b**3 + k + p*b**2 and give p. 1 Rearrange (-702 - 581 - 664)*(l**2 + 0*l**2 + 0*l**2) to the form w*l + u*l**2 + v and give u. -1947 Rearrange (29*j + 9*j - 12*j**2 - 10*j**2)*(246 - 18*j**2 - 246) to y + o*j**4 + v*j**3 + r*j**2 + n*j and give o. 396 Express (-20*w + 11*w + 53*w)*(-2*w - 5*w + 18*w)*(3 + 1 - 24) as u + a*w + t*w**2 and give t. -9680 Express (3 - 3 + 2)*(3 - 3 - 2*d) - 2*d + 3*d - 3*d + (-17 + 25 + 31)*((4 - 2 - 1)*(-2 + d + 2) - 14*d + 26*d - 11*d + 2) in the form n + r*d and give n. 78 Rearrange -184778*g**2 + 184775*g**2 + 6*g + 21*g**3 + 0*g - 1 + 0*g to the form u*g**2 + d*g**3 + t*g + w and give t. 6 Express 68*s**2 - 4*s - 17 - 15 - 2 + 20*s**2 + 38 as m*s + l + v*s**2 and give l. 4 Express 7*u**3 + 2*u**3 - u**3 + 0*u + 0*u - u**3 + (u**2 - 2*u**2 + 0*u**2)*(39*u - 3 + 14*u + 108*u) in the form h*u**3 + c*u + o + g*u**2 and give c. 0 Rearrange 3*c - 2 + 2 + (0 - 3 + 1)*(-c + c - 2*c) + (3 - 5 + 4)*(-199*c - 149 + 149 + 31*c) to the form l + r*c and give r. -329 Rearrange (367 - 158 - 99)*(0 + 0 - 3*h) - 3*h + 10 - 10 - 1 + 3*h + 1 to the form r*h + s and give r. -330 Express -353*c - c**2 - 2*c**2 + 175*c + 178*c - 23 in the form o*c**2 + w*c + r and give o. -3 Rearrange n**2 - 58*n + 2 - 1 + 7 - 3 + 5*n to x*n + y*n**2 + o and give y. 1 Rearrange (20*y + 14*y - 4*y)*(53*y + 88*y + 143*y) to v*y + j*y**2 + s and give j. 8520 Rearrange -829*h + 19 + 3283*h - 824*h - 860*h - 829*h to the form p*h + k and give p. -59 Rearrange -7*w**2 + 8*w**2 + 9*w - 155*w**4 + 6 - 9 + 178*w**4 to r*w**3 + l*w**2 + b*w**4 + n + k*w and give b. 23 Rearrange 12 + 40 - 52 + 6093*q to c + o*q and give o. 6093 Express (-12 + 8 + 10)*((6 - 2 - 3)*(3 - 3 - 4) + 4 + 1 + 0)*(-6 - 1 + 4)*(d + 3 - 3) as g*d + s and give g. -18 Express -788*t - 1815*t - 2025*t in the form i + b*t and give b. -4628 Rearrange -7 - 30*t**4 + 23 + 38*t**4 + (-3 + 2 - 4)*(3*t**4 + 2*t**2 - 2*t**2) to the form m*t**4 + y*t + v*t**2 + r + i*t**3 and give r. 16 Rearrange 8802*d + 16286*d + 10286*d + 2153*d + 4394*d to o + n*d and give n. 41921 Express (-2*r**2 + 7362748 - 7362748 + 11672*r)*(-r + 2*r + r) in the form i + j*r**3 + z*r**2 + d*r and give j. -4 Rearrange (7 + 5 + 2)*(7 - 1077*n + 95*n - 7 - 662*n) + (3 - 3 - 2*n)*(-3 + 4 - 3) to the form i + y*n and give y. -23012 Express -5*g**2 - 2*g**2 + 5*g**2 + (g**2 + 1 - 1)*(-4 + 5 - 3) + 1 - 1 - g**2 + 23220*g - 11611*g - 270*g**2 - 11592*g as a*g**2 + x + u*g and give u. 17 Rearrange -4*p + 490*p**3 + 3*p + 931*p**3 + 3 - p + 2*p**2 to the form i*p**2 + q*p**3 + n*p + b and give b. 3 Express 2*p**3 - 2631*p**2 + 2659*p**2 - 5 + 9 in the form q*p + a + i*p**2 + o*p**3 and give i. 28 Express -2057*w + 1 - 1 + 5527*w as x*w + s and give x. 3470 Express (-818188*d + 2712*d**3 + 818188*
{ "pile_set_name": "DM Mathematics" }
(v - 2)**2*(17*v + 2)/4 Suppose 9*q**5/7 + 762*q**4/7 + 14787*q**3/7 - 57798*q**2/7 + 1056*q + 34848/7 = 0. Calculate q. -44, -2/3, 1, 3 Solve 2*d**2 - 14738*d + 14736 = 0 for d. 1, 7368 What is i in 2*i**2 + 163244*i - 163246 = 0? -81623, 1 Suppose -25*g**5 + 735*g**4 + 2950*g**3 + 750*g**2 - 2925*g - 1485 = 0. Calculate g. -3, -1, -3/5, 1, 33 Determine g so that -11*g**3/3 + 8462*g**2 - 4889873*g + 26588180/3 = 0. 20/11, 1153 Let 2*s**5/7 + 1152*s**4/7 + 3434*s**3/7 - 2316*s**2/7 - 13768*s/7 - 9168/7 = 0. What is s? -573, -2, -1, 2 Find z such that -2*z**4/3 - 64*z**3 + 5672*z**2/3 - 3520*z = 0. -120, 0, 2, 22 What is b in -3*b**3 + 3189*b**2 + 27*b - 28701 = 0? -3, 3, 1063 Factor 3*b**2 + 705225*b - 705228. 3*(b - 1)*(b + 235076) Suppose 3*j**2/5 - 8004*j/5 + 5338668/5 = 0. Calculate j. 1334 Let -667*u**2/3 - 14678*u/3 - 88/3 = 0. Calculate u. -22, -4/667 Factor 15*i**3 + 2945*i**2 + 6810*i + 3880. 5*(i + 1)*(i + 194)*(3*i + 4) Determine y, given that 2*y**4/5 - 156*y**3/5 + 4064*y**2/5 - 43008*y/5 + 155648/5 = 0. 8, 16, 38 Determine s, given that -21*s**4 - 1107*s**3 + 10419*s**2 - 11853*s + 2562 = 0. -61, 2/7, 1, 7 Factor x**3 - 372*x**2 - 3033*x - 2660. (x - 380)*(x + 1)*(x + 7) What is k in 4*k**4 + 5728*k**3 + 1498848*k**2 - 395071616*k + 19028547136 = 0? -802, 86 Determine c so that 333*c**5/7 - 4989*c**4/7 - 64359*c**3/7 + 67773*c**2/7 + 1242*c/7 = 0. -9, -2/111, 0, 1, 23 Suppose 2*u**4/13 + 1246*u**3/13 + 288306*u**2/13 + 29299482*u/13 + 1100046420/13 = 0. Calculate u. -171, -110 Suppose -2*b**4 - 368*b**3 - 21280*b**2 - 369664*b = 0. What is b? -76, -32, 0 Suppose 5*c**2 - 590*c + 17085 = 0. Calculate c. 51, 67 Factor 14*p**3/15 - 19288*p**2/15 + 6640582*p/15 + 1898884/15. 2*(p - 689)**2*(7*p + 2)/15 Factor s**5/4 - 25*s**4/4 - 247*s**3/2. s**3*(s - 38)*(s + 13)/4 Factor p**2/3 + 60100*p + 2709007500. (p + 90150)**2/3 Factor -5*o**3 - 215420*o**2 - 2320288820*o. -5*o*(o + 21542)**2 Solve y**3 + 834*y**2 - 17887*y + 58140 = 0 for y. -855, 4, 17 Solve -l**3/6 - 21*l**2/2 - 202*l - 3410/3 = 0 for l. -31, -22, -10 Factor 2*v**3/9 + 200*v**2/9 - 2*v/9 - 200/9. 2*(v - 1)*(v + 1)*(v + 100)/9 What is w in -w**5/4 - 97*w**4/4 - 68*w**3 + 235*w**2 = 0? -94, -5, 0, 2 Find r such that 2*r**4/9 - 34*r**3/9 - 1276*r**2/9 + 1360*r/3 = 0. -20, 0, 3, 34 Determine c, given that 2*c**3 - 10802*c**2 - 21612*c = 0. -2, 0, 5403 Factor 4*b**2 + 1877696*b - 3755408. 4*(b - 2)*(b + 469426) Solve -f**3/6 + 212*f**2/3 + 7975*f/6 - 4199/3 = 0. -19, 1, 442 Find t, given that -t**3/3 + 1279*t**2/3 + 20912*t/3 - 82880 = 0. -24, 8, 1295 Solve 8*n**3/7 - 3002*n**2/7 - 17538*n/7 + 4572/7 = 0. -6, 1/4, 381 Factor -m**2 - 572*m - 1140. -(m + 2)*(m + 570) Factor -f**3 - 7788*f**2 - 7785*f + 15574. -(f - 1)*(f + 2)*(f + 7787) Factor 2*a**2 - 1584*a - 6368. 2*(a - 796)*(a + 4) Let -6*t**3/11 - 4536*t**2/11 + 136962*t/11 + 292020/11 = 0. What is t? -785, -2, 31 Determine k, given that -33*k**3 + 38*k**2 + 52*k + 8 = 0. -2/3, -2/11, 2 Factor -o**3 - 962*o**2 - 1920*o. -o*(o + 2)*(o + 960) Solve -3*g**4 - 8622*g**3 - 8494776*g**2 - 3081056370*g - 209260688229 = 0 for g. -929, -87 Find v such that -5*v**3 + 13125*v**2 + 13130*v = 0. -1, 0, 2626 Factor -t**3/5 - 51*t**2/5 - 90*t - 80. -(t + 1)*(t + 10)*(t + 40)/5 Factor 5*n**2 - 12245*n + 61100. 5*(n - 2444)*(n - 5) Find u, given that -u**2 + 284210*u - 20193831025 = 0. 142105 Factor -4*a**5/3 + 220*a**4 + 664*a**3/3. -4*a**3*(a - 166)*(a + 1)/3 Determine o, given that 4*o**2 + 12060*o + 24104 = 0. -3013, -2 Solve -4*h**4 + 177*h**3 - 1824*h**2 + 5653*h - 1302 = 0. 1/4, 6, 7, 31 What is n in 2*n**4 - 3180*n**3 + 1576850*n**2 - 248676000*n + 12230480000 = 0? 115, 680 Find m, given that -m**3/4 - 17*m**2/4 + 1445*m = 0. -85, 0, 68 Suppose 7*g**4 - 303*g**3 + 2767*g**2 - 3153*g + 682 = 0. What is g? 2/7, 1, 11, 31 Factor 2*b**3/7 + 10*b**2 + 576*b/7 + 1152/7. 2*(b + 3)*(b + 8)*(b + 24)/7 Factor -3*z**2/7 + 1019514*z/7 - 86617399683/7. -3*(z - 169919)**2/7 Find k, given that 8*k**4/13 - 30*k**3/13 - 62*k**2/13 + 60*k/13 = 0. -2, 0, 3/4, 5 Suppose 5*s**4/3 - 2590*s**3/3 + 115175*s**2 - 867000*s = 0. Calculate s. 0, 8, 255 Find l, given that -l**5 - 3673*l**4 - 3389179*l**3 - 30129083*l**2 + 70440400*l - 36918464 = 0. -1832, -11, 1 Factor -182*n**2/5 - 2318*n/5 - 192. -2*(7*n + 3)*(13*n + 160)/5 Find u, given that -2*u**3/7 - 212*u**2/7 + 3874*u/7 - 3660/7 = 0. -122, 1, 15 Factor -m**2/5 - 1560274*m/5 - 608613738769/5. -(m + 780137)**2/5 What is q in -4*q**5/3 + 224*q**4/3 + 1076*q**3 + 2536*q**2/3 - 5984*q/3 = 0? -11, -2, 0, 1, 68 Let -w**5/4 + 41*w**4/2 + 101*w**3/4 - 721*w**2/2 - 1069*w - 830 = 0. What is w? -2, 5, 83 Let -3*m**3/2 - 1632*m**2 + 3*m/2 + 1632 = 0. Calculate m. -1088, -1, 1 Solve 4*f**2 - 51452*f = 0 for f. 0, 12863 Factor 2*u**3 - 102*u**2 - 1602*u + 5670. 2*(u - 63)*(u - 3)*(u + 15) Solve -2*o**4/3 + 4024*o**3/9 + 1346*o**2/9 - 2684*o/9 = 0 for o. -1, 0, 2/3, 671 Factor 2*a**3 + 2026*a**2 - 10312*a - 134376. 2*(a - 11)*(a + 6)*(a + 1018) Factor -i**2/3 - 16941*i + 50824/3. -(i - 1)*(i + 50824)/3 What is x in 5*x**5 - 345*x**4 + 5145*x**3 - 29695*x**2 + 72090*x - 61200 = 0? 2, 3, 5, 8, 51 Suppose -3*a**4/8 + 96*a**3 + 99009*a**2/8 + 1379595*a/4 + 641067 = 0. Calculate a. -49, -2, 356 Factor -n**3 - 823*n**2 - 822*n. -n*(n + 1)*(n + 822) Solve -4*y**3/9 + 8*y**2/3 + 3328*y - 1059968/9 = 0 for y. -98, 52 Factor -a**4 + 12413*a**3/3 - 5707681*a**2 + 2626166221*a - 5244725878/3. -(a - 1379)**3*(3*a - 2)/3 Factor 2*l**2/15 - 27398*l/3. 2*l*(l - 68495)/15 Determine i so that 3*i**2/4 - 29481*i/2 + 176859/4 = 0. 3, 19651 What is i in -i**2/2 + 731*i - 1460 = 0? 2, 1460 Determine c so that 60*c**5 - 9865*c**4 + 151850*c**3 + 258700*c**2 + 110890*c + 13965 = 0. -1, -1/3, -1/4, 19, 147 Factor 6*i**2 + 1426827*i + 713412. 3*(i + 237804)*(2*i + 1) Factor f**4/3 + 50*f**3/3 + 473*f**2/3 - 1100*f/3 + 192. (f - 1)**2*(f + 16)*(f + 36)/3 What is t in 4*t**3 - 20*t**2 - 3456*t = 0? -27, 0, 32 Let 2*t**3/9 + 890*t**2/9 + 87296*t/9 + 822616/3 = 0. Calculate t. -321, -62 Let -264*d**4 - 273*d**3 + 510*d**2 = 0. Calculate d. -2, 0, 85/88 Find x such that -36*x**3 - 351213*x**2/4 + 7317*x/4 = 0. -2439, 0, 1/48 What is u in u**2 - 4194*u - 177912 = 0? -42, 4236 Let -22*y**5 + 970*y**4/11 - 976*y**3/11 + 8*y**2/11 = 0. What is y? 0, 1/121, 2 Suppose 4*n**5 + 2054*n**4 + 252586*n**3 - 2873596*n**2 + 1246072*n + 1372880 = 0. Calculate n. -262, -1/2, 1, 10 Find l, given that -l**3/8 - 39543*l**2/8 - 79083*l/8 - 39541/8 = 0. -39541, -1 Let -h**5/3 - 28*h**4/3 + 2780*h**3/3 + 101024*h**2/3 + 369920*h/3 + 358400/3 = 0. What is h? -40, -2, 56 Determine o so that -18*o**4 + 3758*o**3 - 57916*o**2 - 13056*o = 0. -2/9, 0, 17, 192 Solve -b**3 - 171*b**2 + 894*b + 2464 = 0 for b. -176, -2, 7 Find t such that -4*t**5 + 516*t**4 + 1096*t**3 - 6344*t**2 + 7356*t - 2620 = 0. -5, 1, 131 Let 2*l**3/5 + 792*l**2/5 + 20274*l + 4229636/5 = 0. What is l? -178, -109 Solve 40*z**5 + 8060*z**4 + 961765*z**3/2 + 13958915*z**2/2 - 30868005*z/2 + 15931125/2 = 0. -357/4, -25, 1 Find y, given that -105*y**2 + 177864*y + 10164 = 0. -2/35, 1694 Suppose -2*o**2/3 - 1520*o/3 + 219232/3 = 0. What is o? -884, 124 Determine d, given that -4*d**3 + 200*d**2 + 7804*d + 7600 = 0. -25, -1, 76 Factor 3*y**3/2 + 345*y**2 - 27933*y/2 - 14310. 3*(y - 36)*(y + 1)*(y + 265)/2 Factor 3*w**3 - 1599*w**2 - 74436*w + 76032. 3*(w - 576)*(w - 1)*(w + 44) Find p, given that 3*p**4 - 99*p**3 + 576*p**2 - 780*p = 0. 0, 2, 5, 26 Determine d so that 3*d**3 - 18282*d**2 - 36576*d = 0. -2, 0, 6096 Find y, given that -y**5 - 96*y**4 - 2446*y**3 - 16476*y**2 + 40679*y - 21660 = 0. -60, -19, 1 Determine t, given that 5*t**4 + 246405*t**3 + 246400*t**2 = 0. -49280, -1, 0 Solve -n**3 + 12*n**2 + 127*n + 114 = 0. -6, -1, 19 Factor 3*j**3/5 + 249*j**2 - 62898*j/5 + 66384. 3*(j - 40)*(j - 6)*(j + 461)/5 Factor 3*c**4 + 2259*c**3 + 128340*c**2 + 2518800*c + 16632000. 3*(c + 20)**3*(c + 693) Factor -2*j**2/9 - 570*j - 1708. -2*(j + 3)*(j + 2562)/9 Factor 3*v**4/7 - 1089*v**3/7 + 14040*v**2 + 14196*v. 3*v*(v - 182)**2*(v + 1)/7 Find p, given that -9*p**4/2 - 138*p**3 + 1939*p**2 + 1338*p + 451/2 = 0. -41, -1/3, 11 Find j, given that -2*j**4/3 - 298*j**3 - 1772*j**2 - 10600*j/3 - 2352 = 0. -441, -2 F
{ "pile_set_name": "DM Mathematics" }
- 73. Let n = b - r. Solve -n*o + 0 = 8 for o. -4 Let a = -140 - -110. Let w = 34 + a. Solve t + w = -t for t. -2 Let o be (5 - 1)*(-14)/(-7). Suppose 6*i = o + 4. Solve 7*d = i*d for d. 0 Let h(t) = -6*t - 5. Let f be h(4). Let u = f + 38. Let l be u/2*(-12)/(-9). Solve -5*p = -3*p + l for p. -3 Suppose -3*m + m = 0. Let q(t) = -t**2 + 28*t + 3055. Let x be q(71). Solve -f = -x - m for f. 2 Let b(t) = t**3 + 45*t**2 + 126*t + 5. Let n be b(-42). Solve -n*m = 15*m - 120 for m. 6 Let p = -7 - -12. Suppose 5*a = 2*m + p, -4*m = a - 3*m - 8. Let n(x) = -x + 3. Let i be n(a). Solve i = o - 1 for o. 1 Let v be 5/(-20)*(169/13 + -13). Solve v = 17*z + 11*z - 84 for z. 3 Let c be 4/12 - 188/(-12). Let b be (-14)/(-2) + (-11)/(88/c). Solve 0 = -b*p + 5 + 10 for p. 3 Suppose -3*k - 20*z = -18*z - 1, -z = 5*k - 11. Suppose 6*t - 5 = 7*t, 0 = 5*r + k*t - 5. Solve v = r - 6 for v. -2 Let y = 20430 - 20425. Suppose -5*c + 5*r - 3*r + 8 = 0, -4*r = 16. Solve -y*l = -c*l for l. 0 Suppose -3*y - 28 = 2*w - 7*w, -3*y + 3*w = 18. Let p be y/(-2 - -1) - -6. Let s = -10426 + 10428. Solve 5 = s*l - p*l for l. -1 Suppose 0 = -6*w + 17*w - 44. Suppose 0 = -w*s - s + 20. Solve 0 = 5*z + s - 9 for z. 1 Let t be 12/8 - 3*(-4)/8. Suppose 2*v + 56 = t*l, -3*l + 54 = -v - 2*v. Suppose 6*p - 10*p + l = -4*n, -2*n - 2 = 2*p. Solve -1 = p*u - 5 for u. 2 Let s(b) = b**2 - 20*b - 21. Suppose 0 = 11*n - 153 - 56. Let j be s(n). Let o be 84/15 - 16/j. Solve -h - h = -o for h. 3 Let c(r) = -3 + 1 - 10 + 3*r - 8. Let p be c(11). Suppose 5*b = v - p, 12 = 3*v - 2*b - 1. Solve 0*g + v*g = 0 for g. 0 Let s(i) = i**3 - 29*i**2 + 197*i + 85. Let m be s(11). Solve -m*o + 110 = -52*o for o. 5 Suppose 0 = -2*g + 2, -3*v - g + 699 = 521. Solve 37*p = 170 - v for p. 3 Let o be (-23)/(-138)*(4 - -2)*0/8. Solve 33*k + 21*k = o for k. 0 Let p = 180 - 171. Suppose 6*y - p = 9. Solve 6 = y*j + 18 for j. -4 Suppose -2*x = 5*l - 1633, 5*x - 4010 = -11*l + 13*l. Suppose -x - 860 = -32*a. Solve a - 43 = -3*w for w. -3 Let x be ((-18)/(90/(-25)))/(2/2). Solve 0 = x*v - 286 + 311 for v. -5 Let r = -12318 + 12319. Solve 13*u = 92 - r for u. 7 Let j = 285 + -282. Suppose 0 = -3*r - j*i + 21, 50*r + 3*i = 48*r + 9. Suppose -3 = 2*u - 3*u. Solve -7*d - r = -u*d for d. -3 Suppose -2*s + 2*s = -4*s. Let u = s + -4. Let x be ((-1)/(u/(-32)))/(-2). Solve -6*d = -x*d for d. 0 Let t = 3555 + -3505. Solve -33*z = -43*z - t for z. -5 Let h(q) = -3*q**2 + 55*q - 239. Let p be h(8). Solve -63 + 90 = p*x for x. 3 Let i = -23208 + 23214. Solve i*q - 64 = -94 for q. -5 Suppose 700 = 2*l - 4*i - 58, 0 = 5*l + 4*i - 1909. Solve -l = 3*k - 363 for k. -6 Suppose 0 = 4*m - 2*m - 2. Let s(w) = 16*w + 1 - 26*w + 14*w. Let i be s(m). Solve -3 - 17 = -i*u for u. 4 Suppose -3*x + 20 = y, 4*y - 29 = -3*x - 3. Let l be ((-30)/(-25))/(x/160). Let n be (-36)/(-15) + -2 + l/20. Solve -4*i + n*i = 8 for i. -4 Suppose -3 = -2*f + 7. Suppose -f*z = -5*w + 155, -z + 6*z + 150 = 4*w. Let u = z - -26. Solve k + 1 - 5 = u for k. 4 Let k be 1 + -5 + 7 - -138. Let l = k + -133. Solve 10 - l = 2*q for q. 1 Let i be 815/20 - (2/8)/(32/96). Solve -111*s + 119*s = -i for s. -5 Suppose 0 = 51*v - 119*v - 97*v - 4*v. Solve 2*y - 3 + 15 = v for y. -6 Suppose -4*d + 53 = 5*k - 74, d + 5*k - 43 = 0. Let v = 40 - d. Let c be v/21 + 34/14. Solve -o - c*o = 16 for o. -4 Let g(n) = -2*n**2 - 17*n + 34. Let v be g(-10). Let h be 831/12 + 3/v. Let z = 73 - h. Solve -2*l = -l - z for l. 3 Suppose 87*h - 15*h - 183 = 105. Solve -7*t - h = -11 for t. 1 Let l(x) = -74*x + 222. Let a be l(3). Solve a = 11*o - 19*o + 48 for o. 6 Let m(y) = y**3 - 2*y**2 + y - 1. Let j(v) = 2 - 8 + 2*v**3 - v**2 + 4*v**2 + 6*v - 3*v**3. Let c be j(4). Let w be m(c). Solve 3*b - w = 2 for b. 1 Suppose 4*h = -53 + 73. Suppose -5*i - 2 = 2*p, -p = i + i. Solve -p*g = g + h for g. -1 Let a(u) = -u**3 + 9*u**2 + 12*u - 4. Let h be a(6). Let w = h - 173. Solve -1 = -o - w for o. -2 Let h(x) = -19*x**2 - 32*x - 1. Let v(t) = 9*t**2 + 16*t. Let y(i) = 6*h(i) + 13*v(i). Let l be y(-6). Let k be (-1)/(-3*1)*12. Solve -l = k*q - 18 for q. 3 Let r(l) = -6*l + 11. Let v be r(1). Suppose -101 = -3*a - j, 4*a - v*j + 4*j = 144. Solve 0 = h - 8*h - a for h. -5 Suppose -4 = 13*p - 15*p. Suppose -2*f + 26 = p*s, 0*f + s + 53 = 5*f. Suppose -f*j - 2 = -12*j. Solve r = j*r - 4 for r. 4 Suppose -2*x = -6*x - 160. Let z = 44 + x. Suppose 0 = 2*p + 2*p - 12, -z*l = 3*p - 65. Solve 2*v + l - 4 = 0 for v. -5 Suppose -64 = -7*s + 41. Let p be 1 + 3/(-3) + 14. Let j be ((-24)/56)/((-2)/p). Solve -4*k - s = -j for k. -3 Let k = -190 - -351. Let a = k - 158. Solve -a = w - 0 for w. -3 Let n(r) = 17*r - 51. Let m be n(3). Suppose 28*p - 251 - 29 = m. Solve -3*c = 2*c - p for c. 2 Let v(w) = w**2 + 18*w - 15. Suppose 38 = l + l + 4*h, 48 = 3*l - 3*h. Let q = -2 - l. Let t be v(q). Solve -t*j + 2*j - 10 = 0 for j. -5 Suppose 6*r = 8*r - 18. Suppose 21 + r = 15*d. Solve -10 = 4*j - d for j. -2 Suppose -9*y + 7*y + 16 = 0. Suppose 6 - y = -2*x. Solve -5 - x = -3*g for g. 2 Let d(g) = -17*g + 149. Let p be d(7). Let t be (-9)/((-27)/p) + -1. Solve 0 = -49*b + 52*b + t for b. -3 Suppose -3*i + 2 = -2*i. Let t(u) = 721*u**2 - 6491*u + 21. Let c be t(9). Solve -c*k = i - 14 for k. 4 Let v be (9 - 9)/(-49 + 45). Solve v = -67*h + 54*h + 39 for h. 3 Suppose 4*k - 7260 = 19*k. Let c = 494 + k. Solve -c + 11 = f for f. 1 Let x be (-244)/976 + -1322*1/(-8). Solve -x = -7*o - 158 for o. 1 Let p be 78*(-5)/(-30) + 8. Solve p*d + 32 = 13*d for d. -4 Let n be 171 - (-8 + 45/(-15)). Solve 155 - n = -9*c for c. 3 Suppose 380 = 5*c + 27*h - 22*h, 4*h = -2*c + 160. Solve -c = -13*g - 33 for g. 3 Suppose 77 = 4*i - 5*z, 0*i - 71 = -4*i - z. Suppose -6*y + i = -0*y. Suppose -1 - 8 = -3*b. Solve -y*d + b = -0*d for d. 1 Let p(l) = 3*l**2 - 7*l - 44. Let n be p(10). Let g = 186 - n. Solve g = 3*h - h - 8 for h. 4 Suppose -21*j + 726 = j. Suppose -j*t = -76 - 23. Solve -16 + 4 = -t*n for n. 4 Let m = -16856 + 16860. Let q be 2/6 + 8/3. Suppose q*t - 1 = 8. Solve -t*n - 1 = -m for n. 1 Let q = 8685 + -8600. Solve -87 + q = -j for j. 2 Let x(z) = -z**2 - 5*z + 27. Let w be x(-8). Suppose -5*p = -4*p - w*p. Let s = -4 + 7. Solve p = s*b + b - 20 for b. 5 Let t be (9/1 + -10)/(-2*(-2)/(-908)). Solve -47*j - t = -39 for j. -4 Suppose 0 = 2*b - 10, -3*k + 44*b + 130 = 40*b. Solve k*u = -7*u - 7*u for u. 0 Let w = 20 - 21. Let b be (3 - (7 + w)) + 2 + -2. Let g be (-4 - -2 - b)/1. Solve g = x - 3 for x. 4 Let d(o) = 8*o - 99. Let v be d(14). Solve 3*u + v*u = -96 for u. -6 Let z be (-40)/(-15)*3 + -1 + -2. Suppose 5*k + 5*o + 14 = 49, -z*k - o + 47 = 0. Let x = k + -10. Solve x*u - 4 = -u for u. 4 Let x = 1990 + -1958. Solve -27*h + x = -19*h for h. 4 Suppose -11*f - 6*f + 51 = 0. Suppose -5*m + 7*p = -13, 5*p - f = -m + 6. Solve -m*c + 0 = -12 for c. 3 Suppose -5*i - 5*v + 2*v = 42, i + 10 = v. Let c(m) = -m**2 - 9*m + 2. Let k be c(i). Solve 5*d + 23 = -k for d. -5 Let u(o) = -o**2 - 7*o + 7. Let m be u(-4). Suppose -3*a = 1 - m. Suppose 0 = 5*s - 12*s. Solve -a*h + 2*h + 4 = s for h. 1 Let o be ((-5)/(-15))/((-3)/36). Let u be 13/4 + (-2)/(-32)*o. Solve u*l - 1 = -4 for l. -1 Let g be 2/(-1 + 3) - -13. Let z be 40/g*(-49)/(-14). Suppose -z = -2*k + 2*m, 0 = -3*k + 5*m + 1 + 4. Solve -k = -4*c + 6 for c. 4 Suppose -3*o + 221 = o + 125. Solve -7*k - o = -19*k for k. 2 Let w(x) = x**2 + 17*x - 49. Let o be w(-21). Solve 9*n = -o - 10 for n. -5 Suppose 0*s = -62*s + 5146. Solve s = 32*k + 19 for k. 2 Let o be (33/(6237/420))/(2/9). Solve -7*n = o*n + 68 for n. -4 Suppose -43 = -3*n - 4*z, -2*n - 88*z + 34 = -84*z. Solve 1215 - 1269 = n*l for l. -6 Let v = 95 + -17. Let r = -134 + v. Let a = r - -59. Solve a*w + w = 0 for w. 0 Suppose 562 + 92 = 3*g. Let l = -208 + g. Solve 0*d + l = 2*d for d. 5 Let w(z) = -101 - 24*z - 100 + 128 - 167. Let c be w(-10). Solve -4*d + 0*d = -c*d for d. 0 Let f = 3131 + -3115. Solve f = -17*q + 101 for q. 5 Suppose 117*p - 2134 - 1946 = 37*p. Solve -p*v - 315 = -60 for v. -5 Suppose i = -2*g + 28, 0 = -2*g + 6*g - i - 50. Suppose -34 = -3*a + 5*h, -g*a = -17*a - 4*h - 8. Solve a*l + 2*l = 20 for l. 4 Let v = -320 + 431. Let l = 113 - v. Solve -l*a - 5*a - 7 = 0 for a. -1 Let d be ((-2519)/(-916))/(2/16). S
{ "pile_set_name": "DM Mathematics" }
descending order. c, -0.07, b Let m = 67.1 + -67.4. Put 0, 0.1, 33, m in decreasing order. 33, 0.1, 0, m Suppose -2*l = -p + 2*p - 9, 5*p + 5 = 0. Suppose -f + 1 = 0, 2*i + l*f = i + 5. Let k(m) = 3*m + 3. Let y be k(-2). Sort 5, i, y in descending order. 5, i, y Let f = -2 - -2. Suppose 0 = -k - 4 - f. Let d = 401 - 399. Sort -5/3, k, d. k, -5/3, d Let n = 23 + -38. Let d be n/(-13) + (-4)/26. Let r be d/(-24)*-4 + 0. Put 1/2, 1/10, r in increasing order. 1/10, r, 1/2 Let u = 1389 - 1389. Sort u, 8/9, -2, -3. -3, -2, u, 8/9 Let s = -0.352 - -0.052. Let c = 0 - 5. Sort -0.5, s, c. c, -0.5, s Let j = 18 - 14. Suppose 0 = -5*n - 218 + 73. Let z = -34 - n. Sort z, 3, j in ascending order. z, 3, j Suppose 33 = 17*a + 16*a. Suppose -2*s = 2*s - 12. Suppose -s*r = 4*b - 0*r - 23, -2*b = r - 9. Sort b, 4, a in increasing order. a, b, 4 Let g = 1348.9 + -1351. Sort -0.35, g, -0.3. g, -0.35, -0.3 Let b = 44 - 46. Let f = -0.1 + 2.1. Let u = 69 + -209/3. Sort b, u, f in ascending order. b, u, f Let j = -4 - -1. Let x be 1/(-7) - (9 + (-65)/7). Sort j, x, 1. j, x, 1 Let y = 156 + -151. Sort -1, -33, y, 4 in ascending order. -33, -1, 4, y Suppose -5*o + 5 = 2*z - 95, 3*o - 4*z - 34 = 0. Suppose -14*k = -o*k - 656. Let n = -816/5 - k. Put n, 0.3, -1/5 in decreasing order. n, 0.3, -1/5 Let j(i) = i**2 - i - 1. Let c be j(0). Let m(k) = k**2 - 13*k - 47. Let x = 24 - 8. Let t be m(x). Sort c, -5, t in descending order. t, c, -5 Let u(n) = n**2 + 5*n + 6. Let v be u(-4). Suppose g = -g - v. Let m be -3 - -7 - (-2 - -2). Put g, 1, m in descending order. m, 1, g Let j be 111/18 + 6/(-36). Suppose -19 + 7 = 4*z. Suppose -3*i + 5 = -2*i - x, 3*i - 5*x - 17 = 0. Put i, z, j in increasing order. z, i, j Let f(n) = -3*n**2 + 60*n - 61. Let m be f(19). Let c(j) = 2*j - 6. Let o be c(5). Sort -5, 5, o, m in ascending order. -5, m, o, 5 Let o = -1874 - -1875. Sort -25/2, o, 2 in decreasing order. 2, o, -25/2 Suppose 6 = -37*v + 43*v. Let l = 3 + -3. Suppose -5*s + w = -3*w + 10, 4*s - 2*w + 8 = l. Sort v, s, 0. s, 0, v Let y(n) = 10*n + 35. Let b be y(-4). Let h(a) = a**3 + a**2 + a. Let l be h(0). Sort b, 5, l. b, l, 5 Let h be (360/76)/5 - 1. Let q be (4/(-6))/(6 - 175/30). Sort q, h, -2/23 in decreasing order. h, -2/23, q Let q be 48/15 - (-12)/15. Let o(v) = v - 3. Let g be o(4). Suppose -n + 5*k = 13, 13 = 4*k + 5. Sort n, g, q. n, g, q Let t = -83/17 - -5. Let q = 8 + -5. Sort 0.8, t, q in increasing order. t, 0.8, q Let u = 5 + -12. Let j = 5 + u. Let p be 0/(j - (-6)/2). Sort 3, 2, p in increasing order. p, 2, 3 Let p be 46/(-42) - (-230)/2415. Sort p, -3, 4, -18 in descending order. 4, p, -3, -18 Suppose 3*v - 5*h = 3, -3*v + 5 = 2*v + 3*h. Put -82, -2, 3, v in descending order. 3, v, -2, -82 Let m be (-4)/4*(-7 + 6). Put 19/6, m, 5/3, 2 in descending order. 19/6, 2, 5/3, m Suppose 5*p + 1 + 19 = 0. Let w be (4 - 1) + -3 + -6. Let l be (-11)/w + (-4)/(-24). Sort p, -5, l in descending order. l, p, -5 Let b = 1016 + -1015.5. Put -88, b, 3 in decreasing order. 3, b, -88 Suppose 0 = -j - 5*z - 30, z - 10 = -2*j + 5*j. Put -30, j, 2 in decreasing order. 2, j, -30 Let h be ((-4)/5)/((-1)/10). Let x be -3 + 3/3*h. Suppose 3*g = x*n + 7, -g + 5*n = -2*g - 11. Sort 4, 0, g. g, 0, 4 Let c = -1217/7 - -174. Let h = 0.3 - -6.7. Let y = h - 7.3. Put c, y, 1 in decreasing order. 1, c, y Suppose 2*u = 5*u - 12, 3*u - 24 = -4*s. Sort 2, s, 0, -2 in ascending order. -2, 0, 2, s Suppose 4*d = -3 + 11. Let f be (-252)/70 + d*2. Let w = -4 + 3.7. Put 1, w, f in descending order. 1, f, w Let u = 1459 + -1462. Put 0.6, 1/3, 7, u in decreasing order. 7, 0.6, 1/3, u Let k(m) = -m**2 + 1. Suppose 5*j - 5 + 15 = 2*d, 0 = d - 5*j - 10. Let q be k(d). Let p be ((-9)/18)/(q/8). Put -3, 5, p in decreasing order. 5, -3, p Let t(b) = -2*b**2 + 5*b + 4. Let u be t(0). Put 5, -5, u, 1 in decreasing order. 5, u, 1, -5 Let k = -0.279 - -0.369. Sort k, 0.5, 2/7. k, 2/7, 0.5 Let h = 0.36 - 0.06. Sort 2/5, 22/9, h in decreasing order. 22/9, 2/5, h Let i be (-80)/(-35) + 4/(-14). Suppose 5*g - 55 + 90 = -2*f, g - 5*f - 20 = 0. Sort 2/13, g, i, 0.4 in increasing order. g, 2/13, 0.4, i Let r be 1/(3 + -5 + 1). Sort -9, 1, r in decreasing order. 1, r, -9 Let u = -6.7 - -63.7. Let i = u - 57. Sort -7, i, -0.5, 5 in ascending order. -7, -0.5, i, 5 Let p = -16 - -42. Suppose 16 - p = -5*s. Sort -3, s, 0 in descending order. s, 0, -3 Let l(j) = -2*j**3 + 2*j**2 + j + 1. Let q be l(3). Let x = 42 + q. Suppose -4*s = -x - 6. Sort s, -7, 3. -7, 3, s Let i(v) = -6*v - 7. Suppose -3*m + 5*f + 12 = m, 2*m + 20 = -4*f. Let j be i(m). Put 2, -3, 4, j in descending order. j, 4, 2, -3 Let d = 4 - -1. Let l = 0.2897 - 12.2897. Put -0.4, -5, d, l in ascending order. l, -5, -0.4, d Let d = -271/2 + 132. Let c = d - -19/6. Let j = 4891 - 24451/5. Put j, -0.1, c in descending order. j, -0.1, c Let d(w) = -w**2 - 17*w - 53. Let c be d(-14). Put c, -4, 22 in descending order. 22, -4, c Let b = 14.22 - 3.92. Put 1/7, b, 3 in ascending order. 1/7, 3, b Let v = 6.3 - 6. Let l = 2309/3 - 11536/15. Sort -1/5, v, l in decreasing order. l, v, -1/5 Let b(s) = s**2 + 3*s - 10. Let q be b(3). Suppose q*t + 14 = u + 5*t, 0 = -u + 4*t + 11. Put 4, u, 5 in decreasing order. u, 5, 4 Suppose 3*a = -2*f - 8, -3*a + 4 = -f + 9. Let h(l) = 3*l + 5. Let r be h(a). Put -2, r, 1 in descending order. 1, r, -2 Suppose 241 + 32 = 3*q. Let i = 88 - q. Put i, 1, 11, -1 in increasing order. i, -1, 1, 11 Let v = -121/28 + 32/7. Sort v, -53, -5, 1/3 in ascending order. -53, -5, v, 1/3 Suppose 0 = -3*i - 4*v + 39, i + 0*i = -v + 12. Sort i, -1, 4, 0 in decreasing order. i, 4, 0, -1 Let x = 1556 - 1560. Sort 1, -1/5, x in descending order. 1, -1/5, x Let n be (3/(-766))/(8/((-32)/3)). Let w = n + 1911/766. Sort w, -0.3, -0.1, 2/7 in increasing order. -0.3, -0.1, 2/7, w Suppose 4 = -4*d - 0. Suppose -o + 5 = -5*f, -o - 2*f + 17 = 26. Put d, o, -3 in increasing order. o, -3, d Let h be (-18)/(-6) + 0 + -6. Sort h, 5, -2, 3 in decreasing order. 5, 3, -2, h Let n = 0.0553 - 5.0553. Sort -1/5, -0.02, n in ascending order. n, -1/5, -0.02 Suppose 4*k - 3 = p, -k + 2*k - 22 = -4*p. Suppose -5*m - w = 10, 13 = -2*m - m - k*w. Suppose 0 = -3*h - 4 - 11. Put 0, h, m in increasing order. h, m, 0 Let d = 3.1 + -20.1. Let r = -467 - -454. Let c = r - d. Sort c, -3, -4/5 in descending order. c, -4/5, -3 Let g(b) = -b**3 + 17*b**2 - 3*b + 49. Let o be g(17). Put o, -1, 2 in increasing order. o, -1, 2 Let z be -1*(-2)/(6/(-3)). Let h = z - -3. Let b(r) = -r + 9. Let f be b(6). Put h, -3, f in decreasing order. f, h, -3 Let m(g) be the first derivative of g**4/4 - g**3 - g**2/2 + g + 2. Let i be m(2). Let l(b) = -12*b - 171. Let f be l(-14). Sort i, 1, f in increasing order. i, f, 1 Let c = 0.195 - -79.805. Let u = 85 - c. Put 0.2, -5, u, 2 in decreasing order. u, 2, 0.2, -5 Let v = -179.03 - -179. Sort 2, 4, v. v, 2, 4 Let j = 5.4 + -5. Let o = -50 - -1. Let k = o - -49. Sort j, -2, k. -2, k, j Let g = 371.1 - 371. Put -2/7, -4/7, g, 1/3 in decreasing order. 1/3, g, -2/7, -4/7 Suppose 95*g + 40 = 103*g. Suppose 5 = -m, -3*b + m = 2*m - 1. Put 4, b, g, -4 in decreasing order. g, 4, b, -4 Let k = -26 - -26.88. Let s = -0.12 - k. Let r = -3 - s. Put r, -5, -0.3 in increasing order. -5, r, -0.3 Suppose 2*g - 4 = -5*h - 22, 3*g - 5*h = 23. Suppose 0 = -2*p + 3*r - 15, -5 + 0 = 2*p - r. Put g, p, -5 in descending order. g, p, -5 Suppose 0 = 2*j - 4*j + 6. Let i be (-2)/(5 - j)*-5. Put i, -0.6, -1/7 in descending order. i, -1/7, -0.6 Let d = 18400 + -18400.4. Let f = 4.91 + 0.09. Sort -1, f, -1/2, d. -1, -1/2, d, f Let y = -308 + 314. Put 3, 0.8, y in ascending order. 0.8, 3, y Let a = 6 + -4.9. Let s = a + -0.3. Let b = 1 - s. Put 3/4, 4, b in descending order. 4, 3/4, b Let o = 27.2 + -27. Let s = 0.78 + -2.78. Sort s, 1/17, o in ascending order. s, 1/17, o Let a be (1 + 0/(-4))*2. Suppose -a*y = 4*y - 36. Sort y, -1, 3 in descending order. y, 3, -1 Let g = -0.091 - -0.031. Put g, 0.6, 2/13 in ascending order. g, 2/13, 0.6 Let o(q) = q**2 + 2*q - 103. Let f be o(9). Put 2, 1, f in decreasing order. 2, 1, f Let o = 192/5 + -38. Let p = -0.08 + -12.92. Let f = -13 - p. Sort 5, f, o in increasing order. f, o, 5 Let v be 5 + (8 - 4 - 7). Suppose -18 + 0 = -2*b + 5*l, -3*b
{ "pile_set_name": "DM Mathematics" }
*y = 2. Does 15 divide 4*7 + 5 + o? True Let w = 126 + -76. Does 50 divide w? True Let x(u) = 5*u**2 + u + 2. Let i be x(2). Let m = i + -7. Is 5 a factor of m? False Let s be 1/4 - 14/(-8). Suppose -45 = s*p - 3*p. Is 15 a factor of p? True Let q = -205 + 344. Is q a multiple of 6? False Suppose -186 = -5*f + 64. Is 5 a factor of f? True Suppose 150 - 556 = -5*d - 3*o, -5*o = -4*d + 310. Let c = d - 44. Is c a multiple of 18? True Let c(a) = -4*a**2 + 2*a + 2. Let p(n) = -13*n**2 + 7*n + 7. Let i(j) = -7*c(j) + 2*p(j). Is i(3) a multiple of 9? True Suppose 0 = -5*k + 20 + 5. Is 5 a factor of (37 - k)/((-6)/(-3))? False Let u(s) = 111*s**3 - s**2 + 2*s - 1. Is 23 a factor of u(1)? False Suppose 0 = -3*s - c + 38, s = -c + 13 + 1. Is s a multiple of 4? True Suppose -206 = -6*c + 4*c. Does 25 divide c? False Suppose i + 3*h = -1, 3*i + 27 = -2*h + 3. Is (-214)/i - 4/10 a multiple of 7? True Let k = -12 - -5. Let s(y) = -2*y. Is 14 a factor of s(k)? True Let r(h) = h**3 - 13*h**2 + 5*h - 25. Is 10 a factor of r(13)? True Let p = 0 - -2. Suppose -18 = -3*v + 3*u, 3*v = u - p*u + 6. Suppose v*h + 15 = b, 125 = 3*b + b + h. Does 11 divide b? False Suppose 3*x = 6 - 0. Suppose -5*u + 23 = -x. Is 5 a factor of u? True Let h(p) = -p**3 - p - 2 - 4*p**2 + 1 - p**3. Is h(-3) a multiple of 17? False Let n = 1 + 1. Let x be 5*((-6)/(-2) - n). Let w(z) = -z**3 + 7*z**2 - 6*z - 1. Is 6 a factor of w(x)? False Let k(q) = -q**3 + 13*q**2 - 13*q - 11. Let t(a) = -a**3 + 12*a**2 - 12*a - 10. Let n(x) = 6*k(x) - 7*t(x). Is n(5) a multiple of 6? False Let v(i) be the third derivative of i**7/840 - i**6/120 - i**5/15 - 3*i**2. Let j(x) be the third derivative of v(x). Is j(7) a multiple of 12? True Suppose -2*i - 3*a = -68, -25 = -i - 5*a + 16. Is i a multiple of 14? False Let k(s) be the first derivative of 2*s**3/3 - 3*s**2/2 + 3*s - 1. Does 12 divide k(4)? False Suppose 5*d + 2 = 12. Suppose -i = d*i - 84. Is i a multiple of 7? True Let w(j) = -j**2 - 6*j - 4. Let m be w(-5). Is m - (1 + -1 + -60) a multiple of 16? False Suppose 3*h = i - h - 20, -2*h = 5*i + 10. Let f = i - 0. Let a(v) = v**3 + v**2 - v + 11. Is 5 a factor of a(f)? False Does 5 divide (-1 - -4)/((-6)/(-20))? True Suppose 2*g + 2 = -2*g + 2*f, 4*g + 3*f = 13. Let i be 2/g - (-1 - 1). Suppose -3*l = -i*l + 24. Is 12 a factor of l? True Let k(o) = o + 40. Does 5 divide k(-11)? False Suppose 0 = -6*l + 2*l - 80. Let s = l + 30. Is 10 a factor of s? True Let s be (-6)/4 - 158/(-4). Suppose -5*d + 36 = y - 4*d, 0 = -y + d + s. Is y a multiple of 25? False Let k be 12/8 - (-106)/4. Let v = k - 15. Is v a multiple of 3? False Let l(y) = 3*y**3 - 2*y**2 - 9*y + 7. Is 6 a factor of l(3)? False Suppose -d + 0*v + v - 1 = 0, 0 = 5*d + 2*v + 26. Let q = d - 2. Let s = 9 + q. Is 3 a factor of s? True Let a be 3/(6/4) + -8. Is (-188)/(-12) + (-2)/a a multiple of 16? True Suppose -v + 8 = 3*v. Suppose 2*c + v*c = -4*n + 4, 4*n + 3*c - 5 = 0. Suppose 5*w + 5*r - 160 = 0, -n*w = 3*w - 4*r - 133. Is w a multiple of 14? False Let s = -101 - -203. Is 34 a factor of s? True Let y(d) = 2*d - 2. Let n be y(2). Suppose 2*p = -n*a, p - 2*p + 2 = 0. Is 7 a factor of (-3)/(-6) + (-45)/a? False Let k = -1 - -11. Does 4 divide k? False Suppose -24 + 81 = 3*u. Does 5 divide u? False Let s = -54 - -113. Does 15 divide s? False Let y(m) = m**3 + 3*m + 2. Is 9 a factor of y(2)? False Suppose 62 - 1054 = -8*y. Is 25 a factor of y? False Let z(t) = t**3 + 9*t**2 - t - 20. Is 15 a factor of z(-7)? False Let n = 5 - 3. Suppose 5*p - 84 = n*p. Does 14 divide p? True Let c(x) = -x - 2. Let s be c(-4). Let i be (-48)/18 - s/(-3). Does 3 divide (-1 + -6)*-1 + i? False Suppose 5*d = -4*q - 40, 15 = 2*q - q - 5*d. Is (-42)/(q - -2) + 2 a multiple of 6? False Let x(v) = -v + 4. Let m be x(7). Let r = m + 3. Suppose -k + 2*k - 13 = r. Is k a multiple of 13? True Let m(f) = -2*f**3 + 3*f**2 - 3*f. Let i be m(2). Let u(p) = -p**3 - 5*p**2 - 5*p - 4. Let k be u(-5). Let o = i + k. Does 5 divide o? False Let t be 2/(1/(9/2)). Let j(s) = -4*s + 3. Let v(x) = -4*x + 3. Let l(n) = -7*j(n) + 6*v(n). Is l(t) a multiple of 11? True Let q = -10 + 5. Let y = 3 + q. Let s(f) = -2*f**3 + f - 2. Is s(y) a multiple of 6? True Let x(f) = -f + 4. Let l be x(3). Does 8 divide 5*(4 + 3/l)? False Suppose 4*m + a - 57 = -0*a, -5*m = 4*a - 85. Let n = m + 5. Does 15 divide n? False Let i = 22 + 58. Is ((-2)/4 + 1)*i a multiple of 20? True Suppose -2 + 10 = 4*n. Suppose n*k + 194 - 66 = 5*x, 0 = 5*k + 20. Suppose -8 - x = -4*r. Is 3 a factor of r? False Let x(n) = -11*n - 111. Is 67 a factor of x(-28)? False Suppose -5*h = h - 114. Let z(c) = 4*c + 3. Let s be z(-2). Does 14 divide -5*(h/s - -1)? True Let a(v) = v**3 + 4*v**2 - v - 2. Let t = 4 - 11. Let c = t + 4. Does 10 divide a(c)? True Suppose -p + 0 = 4. Let n(k) = k**3 + 5*k**2 + 4*k + 5. Let a be n(p). Suppose 0 = a*c - 73 - 17. Is c a multiple of 12? False Suppose 7*l + 3*s + 9 = 2*l, 2*s = 4*l - 6. Does 7 divide (-3)/(-6)*(68 - l)? False Let h = 442 + -253. Does 29 divide h? False Suppose -w = 4 + 1. Let z(t) = -8*t + 7. Is 19 a factor of z(w)? False Let d be 1 + 576/4 + -2. Suppose 6*g + d = 431. Is 8 a factor of g? True Let k be 6/(-5)*30/(-18). Let i be (-282)/(-5) - 2/5. Suppose -k*o = -6*o + i. Is o a multiple of 10? False Suppose -10*b = -3*u - 5*b + 161, 4*b + 204 = 4*u. Is u a multiple of 2? False Let o(g) = -g**3 + 6*g**2 - 8*g + 4. Is o(3) a multiple of 2? False Suppose 5*d = -w - 0*d - 7, 4*d = -2*w + 10. Is 13 a factor of w? True Let g = 15 + -10. Suppose g*t - 424 = 81. Is t a multiple of 27? False Let s = 3 + 3. Suppose -p - 2*p + s = -3*x, 3*x = 5*p - 18. Is 5 a factor of p? False Let t be ((-5)/3 + 1)*-12. Let n = 13 - t. Does 3 divide n? False Let q = 56 - 165. Does 32 divide 0 - (0 + -3) - q? False Let s be (-11)/(2*2/(-4)). Suppose 0 = -2*m + 113 - s. Is 17 a factor of m? True Let k = 2 - -27. Is k even? False Let a = 9 - 6. Suppose 0 = -3*d + 3*k + 63, a*k + 19 = -5*d + 116. Is d a multiple of 7? False Suppose 96 = 7*u - 5*u. Is u a multiple of 10? False Suppose -18*y - 1164 = -24*y. Is y a multiple of 14? False Suppose 0 = -7*d + 4*d - 1800. Does 14 divide 2/(-9) - d/27? False Let o(k) = 11*k**2 + k - 1. Let n(w) = -w - 3. Let z be n(-4). Does 11 divide o(z)? True Suppose -8*m + 251 = 59. Is m a multiple of 12? True Let u = 1 + 12. Is 13 a factor of u? True Suppose 6*i + 225 = 9*i. Is i a multiple of 26? False Let n be (-10)/6*-3*3. Let b = -8 + n. Let x(z) = -z**3 + 8*z**2 - 6*z. Is x(b) a multiple of 4? False Let n(v) = -v**2 - 7*v - 2. Let k be n(-6). Suppose -h = -d - 27, 0 = -h - 4*d + k + 3. Does 11 divide h? False Suppose 4*t - 45 - 63 = 0. Is 18 a factor of t? False Suppose 2*g = -u + 87, -4*u = -4*g - 107 - 181. Does 7 divide u? True Let n = 17 + -13. Suppose -5*l + 23 = n*r - 13, l = 4*r - 60. Is 7 a factor of r? True Suppose -2*k + 6 = -4, -2*k - 274 = -4*a. Let x = -25 + a. Suppose v + x = 3*v. Is v a multiple of 23? True Does 9 divide (37 - -7) + (1 - 0)? True Let y be 2 + 0/(2 - -1). Suppose -2*g = y*g - 4*b - 20, -4*b - 17 = -3*g. Suppose -g - 39 = -3*i. Is i a multiple of 10? False Let l = 24 - 24. Suppose 2*z - 1 = 3. Suppose l*c = -z*c + 30. Is c a multiple of 10? False Suppose 4*q - 17 - 11 = 0. Suppose 3*l - q = t + 6, 2*t + 3*l + 53 = 0. Let u = t - -42. Does 10 divide u? True Let f(n) = 0 - 6 - 2*n + 1. Suppose 0 = 3*j + 13 - 1. Is f(j) a multiple of 3? True Let y = 3 - 8. Is 25/(-2)*6/y a multiple of 5? True Suppose -4*l - 3*r + 7 = -6*r, -2*l + 3*r - 1 = 0. Suppose 3*y = l*y - 3. Does 3 divide y? True Suppose 5*h - 8 = r, 0 = -4*r + 7*h - 2*h + 28. Is 4 a factor of r? True Suppose s - 5*g - 20 = 0, 1 = -3*s + 2*s - 2*g. Suppose -s*x - 22 = -3*m, -5*m + 111 - 25 = 4*x. Does 7 divide m? True Suppose -3*a + 2*a + 4 = 0. Suppose a*y - 230 = -2*j, -2*y - 3*j + 165 = y. Is y a multiple of 16? False Let q be (14/(-1))/(14/(-7)). Let g = -10 + q. Is 49/2 + g/6 a multiple of 12? True Is (-3 - -6)/(3/74) - 2 a multiple of 12? True Let l(c) = -3*c**2 + 4*c - 2. Let i be l(2). Let d(b) = b + 10. Let m be d(i). Is 10 a factor of -1 + 12 - (-3 + m)? True Suppose -p + 0*t + 26 = -2*t, 5*p = 5*t + 140. Does 10 divide p? True Is 2 a factor of -1*(-4)/(-4 + 5)? True Let o
{ "pile_set_name": "DM Mathematics" }
pose 2*x + 2*x = 8. Suppose -x*t + 81 = -73. Calculate the highest common divisor of t and 11. 11 Let m be (-36)/10*(1 + (-78)/3). What is the greatest common factor of 60 and m? 30 Let j = -82 + 139. What is the highest common divisor of j and 38? 19 Let z(d) = 3*d - 4. Let j be z(10). Calculate the highest common factor of 26 and j. 26 Suppose 14 = 8*s - 3*s - k, 2*s + 4*k = 10. Suppose 2*u - 2*r = 28, -s*u - 42 = -7*u - 3*r. Calculate the highest common divisor of 12 and u. 12 Let u(v) = v**2 + 5*v - 4. Let a be u(-6). Suppose 4 = -5*d + 14. What is the highest common factor of a and d? 2 Suppose 0 = 3*g + 3, -4*k = -g + 5*g. Calculate the greatest common divisor of k and 8. 1 Let z(n) be the first derivative of -n**4/4 - 5*n**3/3 - 3*n**2/2 + 4*n - 4. Let x be z(-5). What is the highest common factor of x and 171? 19 Let q = -50 + 102. Suppose 0 = 2*b + 5*p - 26, -5*p - 26 = -2*b - 3*p. What is the greatest common factor of b and q? 13 Let t(z) = -135 + 3*z + 135. Let f be t(8). Suppose 6*d - 2*d - 8 = -4*m, 0 = 4*d + 4. What is the greatest common factor of f and m? 3 Suppose -250 - 10 = -4*v. Let t be 1*78/((-3)/(-1)). Calculate the greatest common factor of t and v. 13 Let g = 9 - -5. What is the highest common factor of g and 7? 7 Let u(t) = -t**3 + 14*t**2 - 22*t + 10. Let w be u(12). Let c be 1/(-2)*(-33 + -1). Calculate the highest common divisor of c and w. 17 Suppose -t + 219 = -4*t. Let k = -40 - t. Suppose -3*j = -b + 3, j + 3 = b - 0. Calculate the highest common factor of b and k. 3 Let l(h) = -h**3 + 5*h**2 + h + 2. Let k be l(4). Suppose -t + k = t. Let y = -240 + 361. Calculate the greatest common divisor of y and t. 11 Let t(y) = -y**3 + y**2 + y + 50. Let x = -3 - -3. Let a be t(x). What is the highest common factor of a and 20? 10 Suppose -2*c = -3*h - 18, -c - 3*c - 6 = h. Let y be (h/2)/(-3)*98. Calculate the highest common divisor of y and 14. 14 Let d = 30 - -35. Calculate the greatest common divisor of d and 39. 13 Let r(o) = 7*o - 4. Let w be r(4). Let b = 390 - 174. Calculate the highest common divisor of w and b. 24 Let i = -24 + 51. What is the highest common factor of i and 9? 9 Suppose 3*u + 4*g + 52 = 5*u, -2*u + 47 = -3*g. Suppose 5*d = 4*j - 19 - u, 3*j = -4*d + 34. Calculate the greatest common factor of 70 and j. 10 Suppose 6*v - 52 = -4*m + 2*v, 0 = 2*m + v - 23. Calculate the highest common factor of 5 and m. 5 Suppose -2*g + 23 = -5*w, -4 = 2*g + 3*w - 3. What is the highest common factor of 28 and g? 4 Suppose -1 + 3 = j. Let x(s) = 8*s**2 + 2*s + 1. Let r be x(3). Suppose j*c + 5*k - 20 = -0*c, r = 5*c - 2*k. What is the highest common divisor of c and 120? 15 Let z(q) = -28*q + 5. Let n be z(-5). Let u = n - 61. Suppose 39 = -5*k + 99. Calculate the highest common factor of k and u. 12 Suppose 42 - 232 = -5*s. Suppose -10 = -3*z + s. What is the highest common divisor of 128 and z? 16 Let p(b) = 2*b - 3. Let i be p(4). Calculate the highest common divisor of i and 20. 5 Let j = -46 - -52. Calculate the greatest common divisor of j and 3. 3 Suppose 3*p = -9 + 51. Suppose 0 = 2*o - o - 7. Calculate the greatest common factor of o and p. 7 Suppose 44 = -3*p + 4*p. What is the greatest common factor of p and 4? 4 Let u be (-1)/(-5) + (-114)/(-5). Suppose 3*f + 5*g = -u - 10, 3*g + 27 = -3*f. Let d = f + 16. What is the greatest common factor of 25 and d? 5 Let u(y) = 5*y**2 - 4*y - 10. Let k be u(-2). What is the highest common divisor of 9 and k? 9 Suppose 1018 = 5*b - 27. Suppose -48 = -2*f + 5*p, 5*f = 6*f + 2*p - 15. Calculate the highest common factor of b and f. 19 Suppose -180 = -s - s. Calculate the highest common factor of 10 and s. 10 Suppose 0 = d + 3*q - 53, 5*q + 25 = 3*d - 120. What is the highest common factor of 10 and d? 10 Let f(z) = z**3 + 12*z**2 - 3*z - 3. Let u = -18 + 6. Let t be f(u). What is the highest common factor of 11 and t? 11 Let b = -8 + 12. Suppose b*l - f = -0*f + 29, -2*l + 2*f + 16 = 0. Calculate the highest common factor of 14 and l. 7 Suppose -180 = 4*r - 7*r. Let s = -23 + 46. Let w = 35 - s. Calculate the highest common factor of r and w. 12 Let b be -32*((-2)/8)/(5/20). What is the highest common divisor of 352 and b? 32 Let h be 114/4 + 1/(-2). What is the greatest common factor of h and 14? 14 Suppose 0 = 2*r + 5*w, -4*w - 21 = -3*r - w. Suppose r*j = 7*j - 30. Calculate the highest common divisor of j and 10. 5 Let n(o) = -o**3 + 7*o**2 + o - 2. Let f be n(7). Let l(m) = m**2 + m + 4. Let a be l(-3). What is the highest common factor of f and a? 5 Let h = -75 + 127. Calculate the highest common divisor of 4 and h. 4 Let x = 7 + -6. Let z(k) be the second derivative of -k**3/3 - 7*k**2/2 + k. Let s be z(-7). Calculate the highest common factor of x and s. 1 Suppose -2*u + 6 = -5*u. Let t = u + 9. What is the highest common divisor of 35 and t? 7 Suppose -4*l + 97 = -3*h, 0 = 3*l - 4*l + 4*h + 8. Suppose -390 + 150 = 4*s. Let k = s + 130. Calculate the greatest common divisor of k and l. 14 Let l = -37 - -61. Calculate the highest common factor of l and 60. 12 Suppose 4*j = -5*g + 74 + 83, 2*g = j - 49. Suppose -j - 57 = -5*z. Let v be (-1 + 3)/2 + 3. What is the greatest common divisor of z and v? 4 Suppose -2*p + a = -29, 11 = -3*p + 3*a + 62. What is the highest common divisor of 84 and p? 12 Let z be 2/7 + (-9)/7. Let w be (2/(-3))/(z/198). Calculate the highest common factor of 12 and w. 12 Suppose 0 = -10*t - 4*t + 1050. What is the greatest common divisor of t and 30? 15 Let n(h) = 6*h**2 - 5*h - 1. Let j be n(-4). Let r = j + 11. Calculate the highest common divisor of r and 18. 18 Let f be -1 + 3 + 0 + -33. Let w be f/(-11) + (-2)/(-11). Suppose -4*v + 45 = -0*v + 3*y, 3*v - w*y = 18. Calculate the highest common divisor of 1 and v. 1 Suppose 0 = 3*h - 33 - 3. Suppose 2*r - 72 = 4*w, -9 = 3*w - 0*w. Calculate the highest common factor of h and r. 6 Suppose -5*x + 15 = 0, -5*p - 4*x + 509 = 197. Calculate the greatest common divisor of p and 20. 20 Let y = 109 + -52. Let t be (0 - y)*3/(-9). What is the highest common factor of t and 171? 19 Let v be (-1 + 2)*12*36. Suppose -5*u = k - 108, -4*k - u + v = u. What is the greatest common factor of 12 and k? 12 Let t be (-1254)/(-39) + (-14)/91. What is the highest common divisor of 96 and t? 32 Let w(n) = 14*n**2 + 3*n - 4. Let y(a) = 15*a**2 + 4*a - 5. Let i(j) = 5*w(j) - 4*y(j). Let g be i(-1). What is the highest common factor of g and 77? 11 Suppose 0 = -5*a + 20, 2*z - 10 = -a + 2. Let r be (-24)/(-1) - (z - 2). Calculate the greatest common divisor of 88 and r. 22 Let d(p) = p + 10. Let w be d(-8). Suppose -r + 108 = 3*u, w*r - 3*u - 31 = 167. Suppose -5*b + r = -18. What is the greatest common factor of b and 16? 8 Let p = 1527 + -1091. Let h = -238 + p. Suppose -x + h = x. What is the greatest common divisor of x and 11? 11 Let u(z) = z**2 + z - 4. Let l be u(-3). Suppose 2 = o + l*b - 1, 0 = -o + 2*b - 1. Suppose -1 = 5*h - 11. What is the greatest common divisor of o and h? 1 Suppose 5*k + 38 = -4*c + 5*c, 2*c - 76 = -2*k. What is the highest common divisor of c and 19? 19 Suppose 13 = -4*r - 3*j, 3*r - j - j - 3 = 0. Let z be r/(41/(-10) + 4). Calculate the greatest common factor of 5 and z. 5 Let f(k) = 4*k + 34. Let t be f(8). Calculate the highest common factor of t and 6. 6 Suppose -2*j = 3*i - 16, 3*j - 24 = 2*i - 0*i. Let l = j + 3. Calculate the greatest common divisor of 11 and l. 11 Let u(y) = -y**2 - 10*y. Let d be u(-9). Calculate the highest common factor of 6 and d. 3 Let r = 13 - 7. Let t be (r - 4)/(4/90). What is the highest common divisor of 15 and t? 15 Let g = 17 + -35. Let i = -2 - g. Calculate the greatest common factor of i and 8. 8 Suppose 5*b + 60 = 5*k, 0*k + 2*b = -k - 3. Calculate the greatest common factor of 35 and k. 7 Suppose -3*m + 15 = -6*m, 0 = -2*t + 2*m + 36. Let f = -6 + t. Let j be f*8 + -2 + 1. What is the greatest common divisor of j and 11? 11 Let x(w) = -w**2 - 13*w - 10. Let n be 3/(2/2) + -13. Let v be x(n). What is the greatest common divisor of 8 and v? 4 Let u(n) = n**2 - n - 17. Let s be u(-8). What is the highest common divisor of 33 and s? 11 Let n be (-11 - -9)/((-1)/7). Let s(r) = 5*r**2 + 4*r + 6. Let o be s(-4). Calculate the greatest co
{ "pile_set_name": "DM Mathematics" }
be m(t). Calculate the greatest common divisor of n and 14. 14 Suppose -5*a + 10*a = 50. Suppose -4*g + 130 - a = 0. Suppose 2*r - 3*r + 2*d = -g, -2*r + 2*d = -66. Calculate the highest common factor of r and 9. 9 Let y be (-1)/2*4 + -55. Let v = -31 - y. Calculate the greatest common divisor of 65 and v. 13 Let n = -34 - -98. What is the greatest common divisor of 16 and n? 16 Let y(b) = -b**3 + 13*b**2 + 3*b + 17. Let r be 1*15 - (-11 + 13). Let v be y(r). Calculate the greatest common factor of v and 140. 28 Suppose -1 - 15 = -4*x, 0 = -l - x + 9. Suppose -d = -l*d + 48. Calculate the highest common factor of d and 60. 12 Let d(j) = -j**2 - 2*j + 5. Let c be d(-5). Let z = 17 + c. What is the greatest common divisor of z and 28? 7 Let t be 8*(1/2 + -1). Let j = 4 - t. Let a = 14 - j. Calculate the highest common factor of 42 and a. 6 Let s be 2/(-3) - 10640/(-84). Suppose -84 = -4*a - 12. Calculate the greatest common divisor of s and a. 18 Let v(c) = -c + 5. Let r be v(5). Suppose 5*d - 25 - 30 = r. Calculate the greatest common factor of d and 1. 1 Suppose 21 = -v + 173. Suppose -m + 12 + 7 = 0. Calculate the highest common divisor of v and m. 19 Let r(a) = 2*a**2 - 4*a - 5. Let b be r(4). Let d be 2/b + 2764/44. Calculate the highest common factor of 9 and d. 9 Let v(s) = 2*s - 14. Let l be v(16). What is the greatest common factor of l and 90? 18 Suppose 6 = 6*z - 18. What is the highest common divisor of 36 and z? 4 Suppose 0 = 5*z + 5*d - 15, -z + 4*z + d = 3. Let s(o) = -o**3 + o**2 + 4. Let y be s(z). Calculate the greatest common divisor of y and 8. 4 Let c(a) = -a + 4. Let d be c(3). Let f = 3 - 1. Let w be 2*f - (2 - 1). What is the highest common factor of w and d? 1 Suppose 7 = k + 2. Suppose -k*h + 40 - 10 = 0. Calculate the highest common factor of 24 and h. 6 Suppose -4*a = -4*r - 612, -2*r = a - 5*a + 612. Suppose -20*t + 4 = -336. Calculate the highest common factor of a and t. 17 Let i = -3 - -11. Let l = -2 + 1. Let m be 64 - (l + 1 - 0). Calculate the greatest common factor of i and m. 8 Suppose -4*l = 2*y - 3*l - 44, -l + 4 = 0. Calculate the greatest common divisor of 50 and y. 10 Suppose -z - z = -4. Let a(y) be the first derivative of -y**4/4 + 4*y**3/3 + y**2/2 - 2*y - 5. Let v be a(3). What is the highest common divisor of v and z? 2 Suppose 4*c - d - 6 = -1, -2*d = -4*c + 2. Let z be 11 - 2 - -2 - c. Calculate the greatest common divisor of 9 and z. 9 Suppose -2*b - i = -0*b - 46, -2*b + 4*i + 66 = 0. Suppose -d + 127 = -b. Calculate the greatest common divisor of d and 19. 19 Suppose -4*s + 293 = -187. What is the greatest common factor of s and 24? 24 Let v(i) = -i - 1. Let s be v(-5). Suppose 79 = s*t + 3*h, 3*t + 3*h - 54 = -h. What is the highest common factor of t and 11? 11 Let y = 158 - 109. Suppose -4*g = -4*d + 28, 5*d = -g - 6 + 53. Let r = y - d. Calculate the greatest common divisor of 16 and r. 8 Let t(p) = 2*p**3 - p**2 + p. Let h be t(1). Suppose -h*i = -i + 5*l - 157, 0 = 2*i + 5*l - 289. Calculate the highest common factor of i and 12. 12 Let m be 0 - 2 - -4 - -110*1. Calculate the greatest common divisor of 28 and m. 28 Suppose -5*i = -16 + 1. Let a(v) = -v**2 + 3*v + 2. Let g be a(i). Suppose -j + 8 = -g. What is the highest common divisor of j and 4? 2 Suppose 3*w - 107 - 13 = 0. Calculate the highest common divisor of w and 160. 40 Let l(a) = 2*a**3 - a - 2. Let y be l(2). Suppose 10 + y = 2*g. Calculate the highest common factor of g and 88. 11 Let c = -1 + -2. Let f(z) = z**3 + 4*z**2 + 1. Let w be f(c). Let g be 0 + 2 + (0 - -8). What is the highest common divisor of g and w? 10 Suppose -5*p = 2*i - 6*i + 47, i = 3*p + 3. Let k be i*(-1 - 15/(-9)). Calculate the greatest common divisor of 6 and k. 6 Let u(y) = y**2 + y + 16. Let q be u(0). Let k = -75 + 25. Let i = -18 - k. What is the greatest common divisor of q and i? 16 Let f = -13 - -14. Let k(u) = 4*u**2 - u + 2. Let g be k(f). Calculate the greatest common factor of 2 and g. 1 Let v(b) = -10*b - 68. Let j be v(-14). What is the highest common divisor of j and 48? 24 Let r(q) = -q**3 - 4*q**2 - 2*q + 1. Let b be r(-2). Let j be (-6)/3 + (-15)/b. Calculate the greatest common factor of 1 and j. 1 Suppose 8*y + 56 = 4*y. Let h be y/(-1) - (3 + 0). What is the highest common factor of 11 and h? 11 Let c be 250/7 + 6/21. Let t be (-2*2)/((-2)/c). What is the greatest common factor of 8 and t? 8 Suppose -8 = 2*q - 3*q. Suppose -4*z = -0*z - q. Suppose 2*s - 15 = -5*o, -z*o - 6 = -0. Calculate the highest common factor of 5 and s. 5 Let o(b) = b + 13. Let c be o(5). Calculate the greatest common factor of c and 27. 9 Suppose 10*d - 231 - 339 = 0. What is the highest common divisor of d and 171? 57 Let p be (-3)/(-6) + 25/2. Let z = -3 + 3. Suppose 4*w + z*k = -k + 48, 7 = -w - 5*k. Calculate the greatest common divisor of w and p. 13 Let p(v) = -v**2 - v + 3. Let c = -2 + 2. Let w be p(c). Let t be (w + 0)/((-3)/(-9)). What is the highest common divisor of t and 27? 9 Let m = -9 + 62. Suppose m = 4*x - 2*g - 67, 96 = 3*x - 3*g. Calculate the highest common factor of 7 and x. 7 Suppose -4*s = -2*j - 666, -4*j - 151 + 799 = 4*s. Calculate the highest common factor of 15 and s. 15 Let r = 63 - 23. What is the highest common factor of 5 and r? 5 Let d = 5 + -5. Suppose d = 2*g - 3*g + 117. What is the highest common divisor of 13 and g? 13 Let w(b) = b**3 + 22*b**2 - 49*b - 17. Let v be w(-24). What is the highest common factor of v and 49? 7 Let b = 23 + -13. Suppose -t + 32 = g, -4*t + 0*g + 110 = -5*g. What is the greatest common factor of t and b? 10 Let h(q) = q**3 + 5*q**2 + q - 4. Let t be h(-4). Let p = -5 - -7. Suppose -p = -y - y. Calculate the greatest common divisor of t and y. 1 Suppose 35 = 7*n - 2*n. Let g(y) = -11*y - 2. Let m(h) = -10*h - 2. Let p(c) = n*m(c) - 6*g(c). Let k be p(-4). What is the greatest common factor of k and 2? 2 Suppose -3*r + 5*k = -22, 10 = -2*r + 3*r + k. What is the greatest common factor of r and 6? 3 Let p(z) = -4*z - 13. Let a be p(-12). Calculate the highest common divisor of a and 5. 5 Suppose -7 = -9*x + 29. Calculate the highest common divisor of x and 36. 4 Let q = -17 + 20. Calculate the highest common divisor of 27 and q. 3 Suppose 12 = -5*s - 8. Let x(v) = -8*v - 3. Let b be x(s). Let y = -14 + b. What is the greatest common factor of 30 and y? 15 Let q(t) = -t**3 + 13*t**2 - 13*t + 15. Let f be q(12). Suppose -2*c + 8 = 0, f*l - 161 = 4*c + 48. What is the highest common divisor of l and 30? 15 Let d be (4/(-2) + 2)/2. Suppose -4*l + 2 - 14 = d, 2*k + 2*l = -36. Let a = k - -33. What is the highest common divisor of a and 36? 18 Let y = 29 - 2. Suppose -2*o + 43 - 17 = 2*f, -25 = -f - 4*o. What is the greatest common divisor of f and y? 9 Suppose 0 = -w + 4*p + 44, -w - w + 83 = -3*p. What is the greatest common divisor of 8 and w? 8 Let c(z) = -z + 4*z**2 + 3*z - 2*z**2 + 1 - 3. Let i be c(-2). Let m(q) = 14*q**2. Let n be m(i). What is the greatest common factor of 84 and n? 28 Let m(k) = -k**3 - 8*k**2 - k + 4. Let g be 12/8*(-16)/3. Let r be m(g). What is the greatest common divisor of r and 84? 12 Let u = -10 - -13. Let n be (-2)/(-6) + 131/u. Calculate the greatest common divisor of n and 22. 22 Let z be 0 - 15/5*-18. Let h(l) = l**2 - l + 135. Let d be h(0). Calculate the highest common divisor of d and z. 27 Suppose -a + 14 = -8. Suppose -j - 3*y = -3*j + a, 2*y + 36 = 4*j. Calculate the highest common factor of j and 88. 8 Suppose -28 = -4*y - 4*g, y = 2*y - 2*g - 1. What is the highest common divisor of 40 and y? 5 Suppose 5*r - 3*g = 264, -3*g = r + g - 62. Suppose l + l = -16. Let m be ((-108)/16)/(3/l). Calculate the greatest common divisor of r and m. 18 Suppose u + 14 = 5*r, 2*u - 10 = -u + 2*r. What is the greatest common divisor of u and 18? 6 Suppose -p - 6 = -4*q - 37, -4*p + 12 = 0. Let x be (-16)/(-7) + 2/q. Suppose -25 = 7*i - x*i, -6 = -2*a - 2*i. Calculate the highest common factor of a and 56. 8 Let j(l) = 2 - 4*l**3 + 7*l**2 - 2*l + 4 + 3*l**3 + 2*l**2. Let f be j(8). What is the greatest common divisor of f and 135? 27 Suppose -2*o + 0 = -4*d + 4, -23 = -5*d - 2*o. Let b be d*(-10)/4*-2. Let t = -11 + b. What is the highest common divisor of t and 44? 4 Le
{ "pile_set_name": "DM Mathematics" }
d by 6 -40 Divide -19572 by 4. -4893 Calculate 86 divided by 13. 86/13 Divide -3 by -6. 1/2 393 divided by -3 -131 Calculate -4 divided by 48. -1/12 -804 divided by -6 134 Divide -20090 by 98. -205 Calculate 233 divided by -6. -233/6 1 divided by 3564 1/3564 -1 divided by 2 -1/2 What is -178 divided by 178? -1 27 divided by 248 27/248 -9644 divided by 1 -9644 Divide 5 by 30. 1/6 Divide 8 by -12. -2/3 Calculate 15 divided by -35. -3/7 Calculate -3 divided by -302. 3/302 -28 divided by 6 -14/3 Calculate -2480 divided by -31. 80 Divide 1 by -385. -1/385 7 divided by 1 7 -17201 divided by 1 -17201 Calculate 101 divided by -9. -101/9 Divide 3026 by -1513. -2 What is 5344 divided by -8? -668 Divide 126 by 3. 42 Divide 42 by -619. -42/619 -103184 divided by -4 25796 -4 divided by -87 4/87 What is -87 divided by -5? 87/5 Divide 3 by 2028. 1/676 What is 430 divided by -215? -2 1 divided by -470 -1/470 Divide -1766 by 1. -1766 -3308 divided by 4 -827 242 divided by 22 11 2 divided by -28 -1/14 Divide 501 by -4. -501/4 Divide -4 by 143. -4/143 Calculate -16227 divided by -3. 5409 What is -5 divided by -944? 5/944 Calculate 0 divided by 75. 0 What is 144 divided by 4? 36 -1 divided by 31 -1/31 Calculate 338 divided by 50. 169/25 -7 divided by 6 -7/6 Divide 56 by -5. -56/5 -4221 divided by -3 1407 Divide -2080 by -4. 520 Calculate 1 divided by -17. -1/17 Divide 78 by -6. -13 What is 0 divided by -132? 0 Divide 12977 by -683. -19 What is -11318 divided by 5659? -2 308 divided by 7 44 Divide 3249 by -1083. -3 -4545 divided by -5 909 Divide -244 by -5. 244/5 -5 divided by 38 -5/38 -5 divided by 13 -5/13 What is 46 divided by -33? -46/33 Calculate 494 divided by 1. 494 Divide 1 by 169. 1/169 Calculate -40 divided by 10. -4 Calculate -4576 divided by -416. 11 Divide 9 by 19. 9/19 Divide 24 by 6. 4 What is -188 divided by 71? -188/71 What is -2025 divided by -675? 3 -8 divided by 1 -8 Calculate -5154 divided by 2. -2577 What is 24 divided by -311? -24/311 What is -47 divided by 47? -1 Divide -18846 by 9. -2094 What is -382 divided by -5? 382/5 6 divided by -214 -3/107 Calculate 66 divided by 1. 66 Divide 6 by -1. -6 Divide 4332 by 2. 2166 Calculate 7098 divided by -3549. -2 Divide 395 by 1. 395 57 divided by 3 19 123 divided by 5 123/5 What is -174 divided by 5? -174/5 Calculate -5 divided by -84. 5/84 What is -26 divided by 3? -26/3 Calculate 1524 divided by 4. 381 Calculate -927 divided by 103. -9 Calculate -561 divided by -17. 33 Divide -247 by -13. 19 Divide -2745 by 915. -3 Calculate -143 divided by -8. 143/8 What is -4 divided by 2262? -2/1131 Calculate 264 divided by 8. 33 Divide -3 by 10. -3/10 Divide 20 by 118. 10/59 Divide 207 by -3. -69 116 divided by -9 -116/9 Divide -5487 by 5487. -1 Divide -2 by 224. -1/112 Divide 154 by 1. 154 -8 divided by 61 -8/61 What is 3 divided by 862? 3/862 Calculate 83 divided by 6. 83/6 -5676 divided by 6 -946 Divide 0 by -18. 0 Divide 5 by -1222. -5/1222 Calculate -5100 divided by 30. -170 167 divided by 6 167/6 Divide 24 by -33. -8/11 What is 63 divided by 7? 9 Calculate -30 divided by -6. 5 Calculate -11 divided by 11. -1 18616 divided by -358 -52 Divide 660 by 6. 110 What is 274 divided by -1? -274 19 divided by -169 -19/169 What is 30 divided by -15? -2 Calculate 21657 divided by 5. 21657/5 What is 6 divided by -124? -3/62 What is -1628 divided by 44? -37 524 divided by -1 -524 Calculate 105 divided by 5. 21 What is -1790 divided by -5? 358 Calculate -273 divided by 13. -21 What is -17 divided by -129? 17/129 1250 divided by 2 625 What is 140 divided by 4? 35 Calculate 770 divided by -7. -110 Calculate -2680 divided by -5. 536 What is 2 divided by 83? 2/83 Calculate -1 divided by -89. 1/89 What is -1008 divided by 42? -24 What is 2 divided by -1? -2 Calculate 2 divided by -4. -1/2 -543 divided by 2 -543/2 Calculate -3987 divided by 6. -1329/2 Divide 1560 by -6. -260 Calculate -4697 divided by -6. 4697/6 Calculate -11664 divided by 4. -2916 Calculate -605 divided by 1. -605 644 divided by -46 -14 -7 divided by -3 7/3 66 divided by -6 -11 36 divided by 6 6 -7 divided by -7 1 Divide -132 by -44. 3 Divide -5 by -102. 5/102 What is 0 divided by 50? 0 -15 divided by 98 -15/98 -379 divided by -2 379/2 What is 26824 divided by -6? -13412/3 -228 divided by -4 57 Calculate 119 divided by 7. 17 Divide 36 by -29. -36/29 Divide 18768 by 48. 391 -2 divided by 1277 -2/1277 Divide -3 by -286. 3/286 What is 186 divided by 6? 31 -3816 divided by 1272 -3 What is 636 divided by 4? 159 Divide -222 by -3. 74 Calculate -2112 divided by -704. 3 What is 93 divided by -39? -31/13 612 divided by 6 102 -1030 divided by -5 206 Divide 444 by 3. 148 Calculate 2 divided by 32. 1/16 What is 22115 divided by -4423? -5 What is -228 divided by 6? -38 What is 0 divided by -15? 0 Divide -344 by 86. -4 What is 0 divided by -36? 0 What is -2 divided by 123? -2/123 Calculate 11 divided by -5. -11/5 Calculate 0 divided by 247. 0 84 divided by 11 84/11 Calculate -54 divided by 3. -18 Calculate -3 divided by 1. -3 What is -1430 divided by 5? -286 -53586 divided by 6 -8931 What is 193 divided by -193? -1 Calculate -2656 divided by -4. 664 850 divided by 17 50 Divide -4 by 2693. -4/2693 Calculate -1496 divided by -88. 17 Calculate -888 divided by 148. -6 Divide 212 by -85. -212/85 Calculate -1 divided by -87. 1/87 What is -3687 divided by -1? 3687 -134 divided by -2 67 Divide 0 by 44. 0 Divide -61 by -61. 1 Calculate 2924 divided by 34. 86 Divide 5 by 154. 5/154 Divide 46 by -6. -23/3 What is 8326 divided by 4163? 2 Calculate 67 divided by 6. 67/6 Divide 252 by -3. -84 What is -5 divided by 62? -5/62 Divide 1050 by -10. -105 910 divided by -5 -182 Divide 5 by 488. 5/488 96 divided by -8 -12 Divide -43 by -9. 43/9 What is 630 divided by -1? -630 What is 39 divided by -45? -13/15 Calculate 6 divided by -68. -3/34 What is -165 divided by -2? 165/2 70 divided by 35 2 Calculate -730 divided by 146. -5 Calculate -13 divided by -1. 13 What is 4 divided by 39? 4/39 Divide -432 by -4. 108 9603 divided by 1 9603 What is -129 divided by 43? -3 Calculate 0 divided by -64. 0 -2831 divided by 19 -149 What is 6565 divided by -1? -6565 What is -311 divided by 21? -311/21 What is -2310 divided by -770? 3 399 divided by -19 -21 Divide -5 by -5. 1 Divide 0 by -34. 0 Calculate 54 divided by 18. 3 What is 1616 divided by -4? -404 Divide -3 by 844. -3/844 What is -513 divided by 513? -1 What is 3 divided by 485? 3/485 Divide -17 by -171. 17/171 What is -3 divided by 25? -3/25 Calculate 3 divided by 231. 1/77 -31 divided by 497 -31/497 -80 divided by -16 5 Divide 234 by 117. 2 Divide -258 by -2. 129 What is -584 divided by -146? 4 Divide -1792 by -7. 256 What is -6505 divided by 3? -6505/3 What is -12188 divided by 5? -12188/5 Calculate -7942 divided by 361. -22 61 divided by 3 61/3 What is 7 divided by 12? 7/12 Calculate 6678 divided by -63. -106 53 divided by 5 53/5 What is -194 divided by 97? -2 Divide -23 by 1. -23 What is -33912 divided by 5? -33912/5 Divide 62 by 31. 2 What is 9654 divided by -6? -1609 What is -2 divided by -37? 2/37 -850 divided by 3 -850/3 Calculate -74 divided by 4. -37/2 What is -1 divided by -236? 1/236 -50380 divided by -5 10076 Divide 5784 by -1446. -4 Calculate -1061 divided by 6. -1061/6 Calculate -60 divided by 10. -6 -732 divided by 6 -122 What is 458 divided by 2? 229 What is 0 divided by -7? 0 Divide 2560 by 1. 2560 -1515 divided by -3 505 Calculate -1557 divided by -1. 1557 Calculate 191 divided by 3. 191/3 Calculate -9692 divided by -5. 9692/5 Divide -5134 by -2. 2567 Calculate -364 divided by 7. -52 Calculate 5302 divided by -241. -22 Divide 608 by 152. 4 Divide 1610 by 10. 161 273 divided by -5 -273/5 Calculate 65 divided by -17. -65/17 Calculate -29 divided by -4. 29/4 -390 divided by 1 -390 Divide 25 by 9. 25/9 Calculate 7 divided by -156. -7/156 Calculate -1144 divided by 2. -572 Calculate 0 divided by -987. 0 Divide 5520 by -5. -1104 Calculate -76 divided by -19. 4 5022 divided by 93 54 What is -2652 divided by -884? 3 555 divided by -185 -3 0 divided by 260 0 Divide -5848 by 4. -1462 What is 61 divided by -61? -1 What is -4 divided by 298? -2/149 Divide 0 by -776. 0 Calculate 1135 divided by -1. -1135 What is -336 divided by -7? 48 Cal
{ "pile_set_name": "DM Mathematics" }
r = -7.5 + i. Which is the biggest value? (a) 0 (b) 3 (c) 2/13 (d) r b Let h be (-20)/2*(13/39 - 33/45). Which is the second smallest value? (a) -1/2 (b) 14 (c) 2 (d) h (e) 3 c Let g be (-193108)/690 - 4/30. Let n be -3*((-4)/26 - g/3003). Which is the second biggest value? (a) 15/2 (b) -0.3 (c) n c Let r be (7 + -8)/((-2)/(-8)). Suppose -2*l + 5 = -5. Suppose l*v = -0*v. Which is the fourth biggest value? (a) v (b) -0.1 (c) r (d) -2 c Let n = 33 - 21. Suppose q + n = -2*q. Let u be ((-1)/(-7))/(q/8). Which is the third biggest value? (a) u (b) 1/2 (c) 2 a Let d = 296162/20193 + 2/20193. What is the smallest value in -1, 0, d? -1 Let h = 943.659 + 23.341. Which is the smallest value? (a) h (b) -0.02 (c) 5 b Let x be 122/(-8) + 11 - (-8)/2. Let q be (7 + -8)/(1/3). Let w be ((-8)/150)/(8/(-20)). What is the fourth biggest value in x, w, q, -3/5? q Let f = -22 + 72. Let j = f - -119. Let z = 1519/9 - j. Which is the biggest value? (a) -0.4 (b) z (c) 2 (d) 0.3 c Let s = 226.08 + -225.91. What is the third smallest value in s, -1.59, -0.3? s Let s be (-144)/192*(-20)/(-9) + 9/3. Let u = -5.5 + 7.3. What is the third biggest value in 3, 2/3, s, u? s Let r = -1432 - -1435. Which is the third smallest value? (a) -5 (b) -4 (c) 2 (d) -1/6 (e) r d Let i = -19.5 + 19.739. Let j = 5.289 - i. Let s = 0.05 - j. Which is the biggest value? (a) s (b) 0.1 (c) -2/9 (d) -2/7 b Let r = 40 - 39. Let m = 0 - r. Which is the smallest value? (a) -1/10 (b) m (c) 3/7 b Let p = 3.666 - 3.726. What is the fourth smallest value in -19, -1, 1/5, p, 5? 1/5 Let q = 0.08 - 0.48. Suppose -2*l - 13 - 9 = -2*o, 30 = 3*o - 2*l. Suppose w - 2*i = 2*i + o, 0 = 4*w + i - 15. What is the second biggest value in -1, w, q? q Let w = 219.69 + -219.79. Which is the smallest value? (a) w (b) 0.19 (c) -35/2 c Suppose -34*f - 119 - 85 = 0. Let j(u) = 2*u**3 - 34*u**2 - 37*u + 15. Let v be j(18). What is the third smallest value in -0.3, f, v? -0.3 Let v be (-310)/434 + (1*2)/2. Which is the second smallest value? (a) -0.2 (b) -0.3 (c) 0.3 (d) v (e) -5 b Let i = 14 - 14. Let n = 65.1 + -64.88. What is the third biggest value in 2, n, i? i Let z(y) = 110*y - 339. Let t be z(3). Which is the second biggest value? (a) 4 (b) -0.5 (c) -0.2 (d) t (e) 14 a Let o = -1.328 + -0.222. Let i = -8.45 + o. What is the second smallest value in -0.1, i, -1/3, -2? -2 Let h = -39.7 - 149.3. Let b = h + 192. What is the biggest value in 4/5, 2, b? b Let m = 73/95 + -7621/10165. Which is the second smallest value? (a) m (b) 4 (c) 3/5 c Let x = 5.296 - 4.996. What is the third smallest value in 0.7, x, -1/23? 0.7 Let z be (-25)/(-100) + 762/(-40) + -2. Let v = z - -421/20. Which is the second smallest value? (a) 1/2 (b) 0.02 (c) v (d) 0 b Let n(r) = -r**2 - 14*r - 45. Let g be n(-6). What is the third biggest value in 1, 8, g, -102? 1 Let d be (-4)/(2 + 1*-3). Let r = d + -4. Let x be 11 - 0 - (-64344)/(-5880). Which is the smallest value? (a) 5 (b) x (c) r c Let r be (5/(20/3))/((-12)/24). Which is the second smallest value? (a) -29 (b) 2/9 (c) r (d) -3/4 (e) 0.5 c Let i = 1.5504 + -3.5504. Which is the biggest value? (a) -0.02 (b) 5/3 (c) i (d) -1 b Suppose 2*k + 12 = 5*k. Let z = -5 - -5. Let o = -40976/3 - -13658. Which is the second biggest value? (a) z (b) o (c) k a Let m be (-406)/174 + (-4)/(-2). Which is the third biggest value? (a) -3 (b) m (c) 4 (d) -2/9 b Let q = -4684 + 51534/11. What is the fourth smallest value in q, 2/9, 0.4, -1/5, -13? 0.4 Let d = -42 + -38. Let w = d - -77. Which is the third smallest value? (a) -3/8 (b) w (c) 5 c Suppose 0 = 5*d - 25, 9*d - 4*d - 45 = -5*q. Suppose -l + 4*l + 1 = q*h, -2 = -4*l + 2*h. Which is the biggest value? (a) -0.4 (b) l (c) 1/19 b Let d be 0/2 - 4/36. Let s(q) = 19*q**2 - 8*q + 5. Let x be s(1). Let j be ((-60)/8)/((-24)/x). What is the biggest value in j, 0.5, d, 2? j Let a = 116/3 - 38. Let f = 5 + -15. Let h = f + 9.9. What is the biggest value in h, 11, a, -3? 11 Let i = 0.9 - 0.4. Let v = 4 - 5. Let g = 18.2 - 17.2. Which is the biggest value? (a) 4 (b) g (c) v (d) i a Let p be 7/35 - 18/40. Let z = -16064 - -16056. Let r = -0.3 - -0.7. Which is the third smallest value? (a) r (b) z (c) p a Let i be 861*-5*6/45. Let p = -2873/5 - i. What is the third smallest value in 40, p, -5? 40 Let w = 3.2323 - -0.7677. What is the third biggest value in 7/2, w, 0.09? 0.09 Let l = -129 - -108. Let v = -24 - l. Suppose -u - 3*m = 7, -2*u + 10*m - 5*m = -30. What is the second smallest value in 2/19, v, u? 2/19 Let z = -107.76 - -108.26. Which is the third smallest value? (a) 2/7 (b) 4 (c) -956 (d) z d Let v(y) = 137*y - 56. Let q be v(3). Let w = -3549/10 + q. What is the third biggest value in w, 11, -0.5? -0.5 Let j = -0.6 + -3.4. Let m be (1/((-24)/(-18)))/(161/92). Which is the biggest value? (a) 2 (b) m (c) j a Suppose -3*x + 22 = -5*j - 0*x, 3*j + 2*x = -17. Let i = -138.8 - -139. Suppose -l = -0 + 4. What is the smallest value in 0.5, j, l, i? j Let z = 2.7 - -1.3. Let q be ((-17)/((-102)/(-12)))/((-1)/((-4)/(-112))). What is the second smallest value in 3, 0.5, q, z? 0.5 Let n be (-2 - -4)*(30/(-68))/(-15). Which is the second smallest value? (a) -14 (b) n (c) 3/2 b Let v = -15027/11 - -1366. What is the second smallest value in v, 47, 2, -4? v Let q = 0.3108 - 0.0608. Which is the second smallest value? (a) 1 (b) q (c) -2/9 b Let t = 349 - 346. Let f = -1.46 - 41.54. Which is the third smallest value? (a) t (b) 5 (c) f (d) 0.5 a Let x be 126/69 - (1 - -1). Let k = 14.9 - 14.976. Let l = k + 4.076. What is the third smallest value in -1, l, x? l Let s = -18966 + 132760/7. Let v = -0.09 + 0.09. Let h = -3 + 8. What is the third biggest value in h, s, v, 3? v Let t be 2/(-3) - (-3 - -3)/2. Let n = 107 - 121. Which is the third biggest value? (a) 0 (b) 5 (c) t (d) n c Let s = -1.2 - 0.05. Let n = s + 1. Let y = n + 0.18. Which is the second smallest value? (a) -3 (b) y (c) -3/4 c Let o = -1.3552 + 1.3452. What is the second biggest value in o, 1, 25, -1.4? 1 Let u = 56.1 + -51. Let d = -650.9 - -651. Let x = d - u. Which is the smallest value? (a) x (b) 1 (c) -2 a Let i be 670/(-12)*-6*(-6)/90. Let y = -65/3 - i. Let o = -2.9 - -3. Which is the smallest value? (a) -0.1 (b) o (c) y (d) 4 a Let n = 1036 - 633. Let h = -411 + n. Which is the third smallest value? (a) h (b) -0.05 (c) -2 (d) -0.3 d Let x = 0.4 + -0.2. Let g = -1124 - -1128. What is the third biggest value in 1/2, g, -5, x? x Let h = 19521 - 19520.96. Which is the second biggest value? (a) 2/3 (b) -0.2 (c) h (d) 5 a Suppose 0 = -2*y - z + 19, 7*y - 47 = 5*y - 5*z. Let q = -0.2 - 0.6. Let m = q + 0.6. Which is the biggest value? (a) y (b) m (c) 0.5 a Let a = 626.49 - 568. Let z = a + -59. Let j = z - -0.91. What is the second smallest value in -0.1, j, 0.5, 4/7? j Let i = -2.6 - -0.6. Let x = -85.51 + 99.51. Which is the fourth smallest value? (a) x (b) i (c) 0.4 (d) 0 a Let j = -53.5337 + 2.5117. Let v = 51 + j. Let x = v + -0.038. What is the second smallest value in x, -1, -3/4, 5? -3/4 Let y be (210/84)/(3/(-72)). Which is the biggest value? (a) 44 (b) 6/5 (c) y (d) -3 a Let s = -3429 - -3426. Which is the fourth smallest value? (a) s (b) 5 (c) -0.3 (d) -1509 b Let t be (6/(-40))/((-21)/(-168)). Which is the fifth smallest value? (a) -0.4 (b) t (c) 0.5 (d) 0 (e) 13 e Let w = 85 - 43. Let i = -953 - -994.7. Let o = w - i. Which is the fourth smallest value? (a) 1 (b) 1/2 (c) -1/6 (d) o a Let n = -34622 + 34622.5. What is the second smallest value in 2/3, 4/5, 1.9, n? 2/3 Let h = 254 + -246. Let g = -144 - -144. Which is the fourth biggest value? (a) h (b) -0.01 (c) -5 (d) g c Let z be -26 + 260/13 + (480/21)/4. What is the third biggest value in 3.6, 2/9, 1/6, z, -3/5? 1/6 Suppose 5*s + 703 = -5*d + 2*d, d = 4*s - 223. Let a = d + 226. Let m = -1 - -4. What is the fourth smallest value in m, 4, a, 1? 4 Let v = 1.86 - 1.76. Which is the smallest value? (a) 379/9 (b) v (c) 0 c Let d = -0.56 + 0.8. Let c = -36412 + 36411. What is the second biggest value in c, -3, d? c Let j be ((-42)/(-24) - (-3 + 19/4))/2. What is the third smallest
{ "pile_set_name": "DM Mathematics" }
e terms in -76 + 153 - 77 + 6*r. 6*r Collect the terms in -94 - 103 - d**2 + 0*d**3 + d**3. d**3 - d**2 - 197 Collect the terms in 13*b**2 - 48*b**2 + 4*b**2 - 22*b**2. -53*b**2 Collect the terms in 10*o**2 - 3*o**2 + 4*o - 4*o. 7*o**2 Collect the terms in -2*w**2 - 25 - 34*w + 64*w - 30*w. -2*w**2 - 25 Collect the terms in 226*b - 74*b - 82*b - 71*b. -b Collect the terms in 2*l**2 - 7*l**2 + 2*l**2 - 2*l**2. -5*l**2 Collect the terms in 34 - 34 + 3*a**3. 3*a**3 Collect the terms in 80 - 14 - 29 + 97 - 2*q**2. -2*q**2 + 134 Collect the terms in 35*k**2 - 16*k**2 - 20*k**2. -k**2 Collect the terms in 14*r**3 - 10*r**3 - 6*r**3 + 0*r**3. -2*r**3 Collect the terms in 3*q**2 - q**2 - 4*q**2 + q**2 + 44. -q**2 + 44 Collect the terms in -10*b**3 - 14*b**3 + 14*b**3. -10*b**3 Collect the terms in 26*i - 6*i + 4*i. 24*i Collect the terms in 4 + 10 + 14 - 3*h**2. -3*h**2 + 28 Collect the terms in -5*h**3 - 5*h**3 - 2*h**3. -12*h**3 Collect the terms in -8 + 11*q + 1 + 7. 11*q Collect the terms in -4*g**2 + 4*g**2 - 14*g**3 + 40*g**3. 26*g**3 Collect the terms in -74*c**2 + 70*c**2 + 155*c**2. 151*c**2 Collect the terms in -104 - 21*d**2 + 104. -21*d**2 Collect the terms in -3*z + 3*z - 3459*z**2. -3459*z**2 Collect the terms in -11*y**3 + 4*y**3 + 2*y**3. -5*y**3 Collect the terms in 22*i - 15*i - 7*i - 10*i. -10*i Collect the terms in -3*l + 0*l - 35 + 2*l. -l - 35 Collect the terms in 4*o**2 - 282*o**3 - 2*o**2 + 290*o**3 - 2*o**2. 8*o**3 Collect the terms in 107*x**3 + 94*x**3 + 106*x**3. 307*x**3 Collect the terms in 399*a**2 - 202*a**2 - 196*a**2. a**2 Collect the terms in 363*v - 186*v - 180*v + 2*v**3. 2*v**3 - 3*v Collect the terms in -288*h**3 + 578*h**3 - 291*h**3. -h**3 Collect the terms in -300*q**2 + 595*q**2 + q**3 + 0*q**3 - 295*q**2. q**3 Collect the terms in -293*m + 146*m + 1 + 150*m. 3*m + 1 Collect the terms in -67*h**3 - 57*h**3 + 137*h**3. 13*h**3 Collect the terms in -46*w + 117*w + 100*w. 171*w Collect the terms in 7*j**3 - 4*j**3 - 3*j**3 + j**3. j**3 Collect the terms in 19 + 27 - 46 + 5*j. 5*j Collect the terms in 15 - 2*l**3 + 5*l**3 - 18. 3*l**3 - 3 Collect the terms in -28*n**3 + 33*n**3 + 4*n**2 - 4*n**2. 5*n**3 Collect the terms in 28*q**3 + 362 + 2*q - 362. 28*q**3 + 2*q Collect the terms in 153*j**2 + 0*j + 0*j. 153*j**2 Collect the terms in 993 + 2*m - 993. 2*m Collect the terms in 17*u**2 - 17*u**2 + 12*u**3. 12*u**3 Collect the terms in 5*l**3 - 1018*l**2 + 2037*l**2 - 1019*l**2 - 3*l**3. 2*l**3 Collect the terms in 1122*i - 2 + 3 - 2. 1122*i - 1 Collect the terms in 62*a + 63*a + 6*a**3 - 125*a. 6*a**3 Collect the terms in -6*a**3 - a**3 + 5*a**3 - 6*a**3. -8*a**3 Collect the terms in -12*d - 10*d - 9*d + 36*d - 11*d. -6*d Collect the terms in 22*t**2 - 9*t**2 + 13*t**2. 26*t**2 Collect the terms in -159*b**3 - 38*b**3 - 104*b**3. -301*b**3 Collect the terms in -299*m + 124*m + 176*m. m Collect the terms in 4*v**2 + 64 - 64 - 3*v**3 + 4*v**2. -3*v**3 + 8*v**2 Collect the terms in -j**3 - 16*j - 13*j + 7*j**3. 6*j**3 - 29*j Collect the terms in -1 + 0 + 1 + 139*t. 139*t Collect the terms in -230*c**3 - 1174 + 1174. -230*c**3 Collect the terms in -2*v**3 + 5*v**3 - 4*v**3 + 16*v**3. 15*v**3 Collect the terms in -142134*k + 5*k**2 + 142134*k. 5*k**2 Collect the terms in 23*u - 3*u**2 + 23*u + 27*u - 73*u. -3*u**2 Collect the terms in -24*n**2 - 24*n**2 - 18*n**2 - 67*n**2 + 134*n**2. n**2 Collect the terms in -18 + 31*z + 25*z - 50*z. 6*z - 18 Collect the terms in -9*t**3 + 3*t**2 - 5*t**2 + 3*t**2. -9*t**3 + t**2 Collect the terms in -27*c + 20*c - c**2 - 34*c. -c**2 - 41*c Collect the terms in 6*l**2 - 63*l**2 + 52*l**2. -5*l**2 Collect the terms in 17*j**2 + 17*j**3 - 17*j**2 + 15*j**3. 32*j**3 Collect the terms in -100*i**3 + 306*i**3 - 103*i**3 - 99*i**3. 4*i**3 Collect the terms in -37*o - 34*o - 39*o + 98*o. -12*o Collect the terms in 58*k - 75*k + 222*k. 205*k Collect the terms in -25*q**2 + 20*q**3 + 25*q**2. 20*q**3 Collect the terms in -765*w - 488*w + 284*w. -969*w Collect the terms in -84*x - 77*x + 171*x. 10*x Collect the terms in 15*n**3 - n**3 - 8*n**3. 6*n**3 Collect the terms in 3*a**3 + 8*a**3 + 0*a**3 + 6*a**3. 17*a**3 Collect the terms in -266*k**3 + 264*k**3 + 0*k + 0*k. -2*k**3 Collect the terms in -2*g**2 + 21*g**2 + g - 2*g**2. 17*g**2 + g Collect the terms in 73*s - 237*s + 81*s + 77*s. -6*s Collect the terms in -19*t**3 + 8*t**3 + 5*t**3. -6*t**3 Collect the terms in 29 + 5*b**2 + 33 - 62. 5*b**2 Collect the terms in -4*o + 2*o + 24*o. 22*o Collect the terms in 3*h - 2*h - 35 + 9. h - 26 Collect the terms in -4*o**3 - 3*o**3 + 4*o**3 + 2*o**3. -o**3 Collect the terms in -5*m**3 + 5*m**2 + 0*m**3 + 2*m**2 + 0*m**3. -5*m**3 + 7*m**2 Collect the terms in 2 - 2 - 25*t**2 + 2*t**2 + 1. -23*t**2 + 1 Collect the terms in 17*u + 16*u + 2 - 5*u + 0. 28*u + 2 Collect the terms in -f - 2*f - 3*f - 7*f. -13*f Collect the terms in -3*b - 4*b + 4*b + b - 2*b. -4*b Collect the terms in 16*h**2 + 18*h**2 - 2 + 0*h**2. 34*h**2 - 2 Collect the terms in -51*j**3 - 45*j**3 + 24*j**3. -72*j**3 Collect the terms in -43*f + 25*f + 19*f. f Collect the terms in 4*w + 4*w - 5*w. 3*w Collect the terms in -3 + 22*k**3 + 3 + 4*k**3. 26*k**3 Collect the terms in -1 - 16*j + 17*j - 1. j - 2 Collect the terms in -189*a**2 + 63*a**2 - 364*a**2. -490*a**2 Collect the terms in 4 - 290*d**3 - 4 + 292*d**3. 2*d**3 Collect the terms in 10*d**2 - 4*d**3 - 10*d**2 - 23*d**3. -27*d**3 Collect the terms in v - 6*v - 402 - 3*v + 402. -8*v Collect the terms in 76*s - 76*s + 18 - 8*s**2. -8*s**2 + 18 Collect the terms in -3 - 12*s - 4*s + 0*s. -16*s - 3 Collect the terms in -4*l**2 - 104*l + 4*l**2 - l**2. -l**2 - 104*l Collect the terms in -102*a + 317*a - 103*a - 109*a. 3*a Collect the terms in 11*m**3 - 15652*m + 15652*m. 11*m**3 Collect the terms in 11*w + 2*w - 13*w - 6*w**2. -6*w**2 Collect the terms in 779*z + 775*z - 2324*z + 771*z. z Collect the terms in 19 + 22 + 27 + 2*s - 68. 2*s Collect the terms in 71 + 16 + 2*p**3 - 87 - p**3. p**3 Collect the terms in -7*r + 35*r - 194*r. -166*r Collect the terms in -1091*s + 545*s + 544*s. -2*s Collect the terms in 35*f**3 + 5*f**3 + 55*f**3 - f**2. 95*f**3 - f**2 Collect the terms in -9*a + 10 - 10. -9*a Collect the terms in 13*d + 4*d - 23*d. -6*d Collect the terms in s**2 - 139 - 5*s + 139. s**2 - 5*s Collect the terms in 490 - 4820*t**3 - 490 + 4819*t**3. -t**3 Collect the terms in 123*k - 240*k + 117*k - 10*k**2. -10*k**2 Collect the terms in -3*z**3 + 25*z**3 + 111*z**3. 133*z**3 Collect the terms in -335*h**3 - 19*h**3 - 181*h**3. -535*h**3 Collect the terms in 27*f**2 - 64*f**2 + 6*f**2. -31*f**2 Collect the terms in -11*o**3 - 1598*o + 1598*o. -11*o**3 Collect the terms in 11 - 30*o**3 + 17*o**3 + 17*o**3. 4*o**3 + 11 Collect the terms in 0*h**3 + 7*h**3 + h**3 - 6*h**3. 2*h**3 Collect the terms in -124*l + 246*l + l**2 + l**2 - 122*l. 2*l**2 Collect the terms in 5*l + 6*l**3 - 5*l. 6*l**3 Collect the terms in -67*l + 40*l + 25*l. -2*l Collect the terms in 4*q**2 + 17*q**2 + 0*q**2. 21*q**2 Collect the terms in -102*z - z**3 + 0*z**3 + z. -z**3 - 101*z Collect the terms in -53*p + 30*p + 26*p. 3*p Collect the terms in -48*l - 46*l + 147*l + 2*l**2 - 53*l. 2*l**2 Collect the terms in -11*v**3 + 12*v + 43*v**3 - 12*v + 2*v**3. 34*v**3 Collect the terms in -2 - 3634*s**3 + 3633*s**3 + 2. -s**3 Collect the terms in -4 + 3 + 404*j**2 + 1. 404*j**2 Collect the terms in -166*q + 29*q - 232*q. -369*q Collect the terms in -912*t**3 + 2763*t**3 - 923*t**3 - 919*t**3. 9*t**3 Collect the terms in 21 - 31 + 10 - 3*r. -3*r Collect the terms in -8*z + z + 8*z - z - z**2. -z**2 Collect the terms in -5*m**2 + 5*m**2 - 2*m**2 - 4*m**2 + 4*m**2. -2*m**2 Collect the terms in 5*j**2 - 162*j + 162*j. 5*j**2 Collect the terms in 2*i - 22 - 14*i**3 + 13*i**3 - 2*i. -i**3 - 22 Collect the terms in 49*u + 2 + 26*u - 2. 75*u Collect the terms in 19*u - 4 - 20*u + 4 - 5*u**3. -5*u**3 - u Collect the terms in 15*l + 22*l - 63*l + 27*l. l Collect the terms in -175*r - 167*r + 344*r. 2*r Collect the terms in -40 - 14*j - 7*j + 40. -21*j Collect the terms in -4*p + 7*p - 19*p. -16*p Collect the terms in 9*y + y + 6*y - 9*y. 7*y Collect the terms in 142*p + 47 - 144*p - 47. -2*p Collect the terms in -467
{ "pile_set_name": "DM Mathematics" }
ng order. 119, 2, 0.08, -2, -4 Sort -42, -4, 6 in decreasing order. 6, -4, -42 Sort 5, 880, 2 in descending order. 880, 5, 2 Sort -0.3, -20, -5/2, 3.6. -20, -5/2, -0.3, 3.6 Sort 0, 6/19, 13, -86, -2, -5 in decreasing order. 13, 6/19, 0, -2, -5, -86 Sort 79, -754, 11 in descending order. 79, 11, -754 Sort -0.7, -3/4, 5, -6, -3. -6, -3, -3/4, -0.7, 5 Sort 1, 151, 5. 1, 5, 151 Sort 3, 11, -5, 9, 10, -12 in descending order. 11, 10, 9, 3, -5, -12 Put -624029, 3, -5 in increasing order. -624029, -5, 3 Put 5, -0.2, 836, 2/9, 0 in decreasing order. 836, 5, 2/9, 0, -0.2 Put 0.3, 0.1, 17, -251 in ascending order. -251, 0.1, 0.3, 17 Put 1/2, -12, -0.04, 4/5, 1980 in increasing order. -12, -0.04, 1/2, 4/5, 1980 Sort -4.385, -4, -5 in decreasing order. -4, -4.385, -5 Sort 3/17, -2, -14, -0.17 in ascending order. -14, -2, -0.17, 3/17 Put -5868, 3, -4, 0 in descending order. 3, 0, -4, -5868 Sort 0.4, -5, -33352.5 in descending order. 0.4, -5, -33352.5 Sort -4/739, 0, 2, 0.5 in ascending order. -4/739, 0, 0.5, 2 Sort 7, -4, 545, 3, 0 in ascending order. -4, 0, 3, 7, 545 Put 4, -4, 633851 in descending order. 633851, 4, -4 Sort -2, -0.4, 1, -2.9, 5. -2.9, -2, -0.4, 1, 5 Sort -3, -42, -2, 3/10 in decreasing order. 3/10, -2, -3, -42 Sort 1, 3, -4, -5, 793 in ascending order. -5, -4, 1, 3, 793 Sort -0.08, 56, 107 in descending order. 107, 56, -0.08 Put -2, 1, -111.54, 0.05 in decreasing order. 1, 0.05, -2, -111.54 Sort -0.4, -3, 16547 in ascending order. -3, -0.4, 16547 Sort 126045, 2, 0 in increasing order. 0, 2, 126045 Sort 2, 21, 3, -5.5, 0.2, 2/21 in decreasing order. 21, 3, 2, 0.2, 2/21, -5.5 Sort -2/9, 1/12, -3576, 168, 3 in increasing order. -3576, -2/9, 1/12, 3, 168 Sort 167, -2, -1/2, 21. -2, -1/2, 21, 167 Put -61, -23, 3, -2, 1 in descending order. 3, 1, -2, -23, -61 Put -0.06, -0.3, 223 in descending order. 223, -0.06, -0.3 Put 1, -39, 0.175, 5, -2, 0.5 in decreasing order. 5, 1, 0.5, 0.175, -2, -39 Put 2, 0, 2743 in decreasing order. 2743, 2, 0 Sort -4, 5, 5232 in descending order. 5232, 5, -4 Put -28, 0, 14, -2/5, -4 in decreasing order. 14, 0, -2/5, -4, -28 Put 5178/11, 4, 0.1, -5 in increasing order. -5, 0.1, 4, 5178/11 Sort -310, 0, -3133. -3133, -310, 0 Sort 5, -5, 5898 in decreasing order. 5898, 5, -5 Sort 0, 84, -4, -203 in decreasing order. 84, 0, -4, -203 Sort 5, 1, 39843 in decreasing order. 39843, 5, 1 Put -184, -5, 0, -2, 3, 1 in decreasing order. 3, 1, 0, -2, -5, -184 Sort 0, 2, -4, -34 in increasing order. -34, -4, 0, 2 Put -1/5, 0, 0.099, -1/2, -6, -2/3 in decreasing order. 0.099, 0, -1/5, -1/2, -2/3, -6 Put 3, -1, -1004 in decreasing order. 3, -1, -1004 Put 5, 4, -120424 in increasing order. -120424, 4, 5 Sort 0, 12/11, 1470 in ascending order. 0, 12/11, 1470 Sort -4, -3716, -3, -2, -1 in increasing order. -3716, -4, -3, -2, -1 Sort 112, -17, 4, -0.3 in decreasing order. 112, 4, -0.3, -17 Put -78, 5, 2, -17 in descending order. 5, 2, -17, -78 Sort -4, 75, -8, 1, -23, 5 in ascending order. -23, -8, -4, 1, 5, 75 Sort -3, 4, 18, -4, 102 in increasing order. -4, -3, 4, 18, 102 Sort 6607, 4, -9 in decreasing order. 6607, 4, -9 Put 3, 0.4, -24.8, 1, -0.07, -1/2 in ascending order. -24.8, -1/2, -0.07, 0.4, 1, 3 Put 0.5, -8, -3, -2/1799, 2, -0.3 in increasing order. -8, -3, -0.3, -2/1799, 0.5, 2 Sort 3, 277, -6, 21, -4 in increasing order. -6, -4, 3, 21, 277 Sort 1802/13, 19.6, 2/7 in descending order. 1802/13, 19.6, 2/7 Put 2, 2594, 5, 4, -5, -1 in descending order. 2594, 5, 4, 2, -1, -5 Put -4/19, -5, 372 in increasing order. -5, -4/19, 372 Sort -7, 9, 2, -12, 1, 3 in decreasing order. 9, 3, 2, 1, -7, -12 Sort 7.6, 0.7, -0.08. -0.08, 0.7, 7.6 Sort 2433, 2/21, 0.5, -2/3, -0.3. -2/3, -0.3, 2/21, 0.5, 2433 Put 69, -423, 5 in decreasing order. 69, 5, -423 Sort 6, 10, -4, 5, -1, 2 in decreasing order. 10, 6, 5, 2, -1, -4 Put 37, -748, -2 in decreasing order. 37, -2, -748 Put 8, 319, 0, -4 in descending order. 319, 8, 0, -4 Sort -2, 606, 0, -1 in ascending order. -2, -1, 0, 606 Sort -158, -1, 157 in descending order. 157, -1, -158 Sort -3/344, 5, 0.5, 1, 2 in descending order. 5, 2, 1, 0.5, -3/344 Put -1/3, 0.029, -0.1, -2.8, -1 in decreasing order. 0.029, -0.1, -1/3, -1, -2.8 Sort -11, -290, -0.01. -290, -11, -0.01 Sort -2, 4, 4668, 1 in increasing order. -2, 1, 4, 4668 Sort -319, -1/2, 0.57 in decreasing order. 0.57, -1/2, -319 Sort 9/4, -171, -0.02. -171, -0.02, 9/4 Put -5, 9, 154479 in increasing order. -5, 9, 154479 Put -297, 1, 2, -5, 5 in decreasing order. 5, 2, 1, -5, -297 Sort 8, 4, 6, -304, 3, -3. -304, -3, 3, 4, 6, 8 Sort -3, 5, -47, 0, -6 in decreasing order. 5, 0, -3, -6, -47 Put 0, 1264, -158 in decreasing order. 1264, 0, -158 Put -11, 0.26, 0.13 in ascending order. -11, 0.13, 0.26 Sort -2948, -1/5, -2/23, 2/5 in decreasing order. 2/5, -2/23, -1/5, -2948 Sort -8, -0.3, 8.7, 42, 4, 1/3 in decreasing order. 42, 8.7, 4, 1/3, -0.3, -8 Put 3, -5, -13, 212, 2 in increasing order. -13, -5, 2, 3, 212 Sort 2, 0.2, 219, -0.2 in decreasing order. 219, 2, 0.2, -0.2 Put -1, 0, 30496, 4 in ascending order. -1, 0, 4, 30496 Sort 2/249, 0, -3, 0.6, 4, 3/2. -3, 0, 2/249, 0.6, 3/2, 4 Put -65, 4, -4, -3, 396, -8 in decreasing order. 396, 4, -3, -4, -8, -65 Sort 0.1, 57, 4, 0.2 in increasing order. 0.1, 0.2, 4, 57 Sort -1, 2, 6, 368, 3 in decreasing order. 368, 6, 3, 2, -1 Put -37, 0.09, 2/11, -0.4, -0.2 in increasing order. -37, -0.4, -0.2, 0.09, 2/11 Sort 10, 71, -2/3, -799 in decreasing order. 71, 10, -2/3, -799 Put 2/3, -3/7, -0.4, 1, -1617, 3 in decreasing order. 3, 1, 2/3, -0.4, -3/7, -1617 Sort -3, 159, -13, -5. -13, -5, -3, 159 Put -0.0051, -62, 1, -1/2 in decreasing order. 1, -0.0051, -1/2, -62 Sort 3, -5.61, 0.3, 5/6 in decreasing order. 3, 5/6, 0.3, -5.61 Sort 2/9, 5, 22, -8, -180/37, 0.4 in increasing order. -8, -180/37, 2/9, 0.4, 5, 22 Put 1, 7, -1, -3, -5, -4 in descending order. 7, 1, -1, -3, -4, -5 Sort 3, 2, -5, 116, -2 in descending order. 116, 3, 2, -2, -5 Put 5, -105, -2, 3, 4, -4 in increasing order. -105, -4, -2, 3, 4, 5 Put 0.3, 5, 0.00066, 2 in descending order. 5, 2, 0.3, 0.00066 Put 2, -2, 161, -1, 1, -4 in decreasing order. 161, 2, 1, -1, -2, -4 Sort 0, 1, -1, 7, -3, 6 in descending order. 7, 6, 1, 0, -1, -3 Sort 32, 3, -2, 5, -104 in ascending order. -104, -2, 3, 5, 32 Sort 157, 0, 30, -5, -3 in descending order. 157, 30, 0, -3, -5 Put -575, -17, -1 in increasing order. -575, -17, -1 Put 3, -59, 1/11, -10, 2 in decreasing order. 3, 2, 1/11, -10, -59 Sort 178795, -4, 1 in ascending order. -4, 1, 178795 Sort -1/15, -5, -0.5, -2/19, -18. -18, -5, -0.5, -2/19, -1/15 Sort 259055, 3, -0.1 in ascending order. -0.1, 3, 259055 Sort -17, 4, 0, 15, -176, -1 in descending order. 15, 4, 0, -1, -17, -176 Sort 2, 0, 3, -43, -5 in descending order. 3, 2, 0, -5, -43 Put -3, 5, -12401 in ascending order. -12401, -3, 5 Put -1, -4, -7, 134 in increasing order. -7, -4, -1, 134 Put -0.08, 23, -2/9, -4/7, -4 in decreasing order. 23, -0.08, -2/9, -4/7, -4 Put 264, 3, -21, 2, -2 in descending order. 264, 3, 2, -2, -21 Sort 3, 0, 1394, 5 in descending order. 1394, 5, 3, 0 Put -4, 0.4, 1, 9, 2186 in increasing order. -4, 0.4, 1, 9, 2186 Put -188, -637, -3 in descending order. -3, -188, -637 Sort -7, 0, -2826 in descending order. 0, -7, -2826 Sort -2/3, -4/3, -2384, 4 in increasing order. -2384, -4/3, -2/3, 4 Put -3, -0.3, 163, 27.7 in decreasing order. 163, 27.7, -0.3, -3 Sort 915/4, -9, -3 in decreasing order. 915/4, -3, -9 Sort 3/4, -281.2, -0.06. -281.2, -0.06, 3/4 Put 94.12, -1.1, 12 in ascending order. -1.1, 12, 94.12 Sort -4/7, 0.4, -2/95, -2, -2/25 in descending order. 0.4, -2/95, -2/25, -4/7, -2 Sort -3, 5, 22, -1104, -1. -1104, -3, -1, 5, 22 Put 24, -2, 3, -3, 8, 11 in descending order. 24, 11, 8, 3, -2, -3 Sort 31, 72, 2, 4, -4, -10 in increasing order. -10, -4, 2, 4, 31, 72 Sort -112, -3, 0, -2 in increasing order. -112, -3, -2, 0 Sort -4011, -1, 3, 4. -4011, -1, 3, 4 Sort 7, 3, 40, -5, 1 in decreasing order. 40, 7, 3, 1, -5 Put -2, -1.1, 4, 5, 0.4 in increasing order. -2, -1.1, 0.4, 4, 5 Sort 5280, -1, -0.3, 0.021, 5. -1, -0.3, 0.021, 5, 5280 Put 2/7, 1/3, 62.995 in decreasing order. 62.995, 1/3, 2/7 Sort 4, 392, -14 in descending order. 392, 4, -14 Sort -3/23, 0.6, -0.2, 26/5. -0.2, -3/23, 0.6, 26/5 Put -7, -5, -3, -219 in decreasing
{ "pile_set_name": "DM Mathematics" }
t v be 3 + (1 - f)/(-2) + -12. Which is smaller: -2 or v? v Let i = -76 - -36. Let g be (10/i)/((-10)/8). Let p = -32 + 31. Is g <= p? False Suppose 3*u = -2*u. Suppose -4*s - 4 = 0, 2*o - 19 = -u*o + 5*s. Let i be (12 - o) + (-2)/2. Which is greater: i or 2? i Let p be 3/(-6)*(-1 - -5). Suppose 6*x + 24 = 2*x. Let n be -21 + 13 + x/(-2). Is p less than n? False Let w be ((-3150)/1005)/7*1/(-2). Is w greater than 1? False Let p(a) = -a**3 + 15*a**2 - 16*a + 11. Let x be p(10). Is x != 352? True Let m = -604 + 624. Which is greater: 216/11 or m? m Let z(f) = -13*f**2 + 1 - f**3 + 0*f - f + 8*f**2 + 4*f**2. Let l be z(1). Let c be 58/10 - (4 + l). Is c less than -2/7? False Let j = -554275/54 + 10264. Which is greater: 1 or j? 1 Let x be ((-135)/20 + 6 - -3) + -4. Let l = -81/112 - -7/16. Do x and l have the same value? False Let b be 2/10 - 27/10. Let w be 2/13 + (-56)/26. Which is bigger: w or b? w Let g(t) = t**2 + 12*t - 23. Let d be g(-13). Let r be (5 - 0)*(88/d)/(-4). Which is smaller: r or 48/5? 48/5 Let d = 9943/3 + -3357. Is -44 bigger than d? False Let g = -357 - -1774/5. Which is smaller: -2 or g? g Let n = 0.15 + -0.55. Do -0.17 and n have the same value? False Let m = -188.7 - -179. Let y = m - -9.7. Does -40 = y? False Let p = -2797/5 - -557. Let r = p + 81/40. Let s = -1 + -1. Is r < s? False Let d(q) = -16*q + 33*q + 20 - 19*q. Let z be d(10). Is z at least -3/29? True Let m = -245.332 - -246. Let h = m - 0.068. Is h < -6? False Let g = -0.7 + 0.6. Suppose 6*k - 2*k = 28. Is k != g? True Let u be 5/(-20) + 0 + 391/(-4). Let j = 56 + u. Which is bigger: -43 or j? j Let u be (-180)/8 + -9*7/(-126). Which is bigger: -7 or u? -7 Let o be -95 + 102 + 36/(-7). Which is bigger: o or 1? o Suppose 3*z - 1 = 2*n, 3*z + 2*n - 17 = -0. Suppose 4*u = -g + 4 + 14, -4*g - z*u = -98. Does g = 26? True Let n = -0.102 - -0.092. Let o = 6 + -4. Suppose f + 4 = -3*j, -o*f = 3*j + 12 - 4. Is j >= n? True Let c = 0.042 - 0.102. Which is greater: c or 0.3? 0.3 Let j = 818 - 202045/247. Let d = 23020405 - 164895160303/7163. Let p = j + d. Is 0 bigger than p? False Let d(w) = w**2 - 4*w. Let y = 11 + -6. Let o be d(y). Suppose -3*q + 3*u = -27, 0 = 13*u - 9*u + 20. Which is smaller: o or q? q Let m(f) = -f - 1. Let n be m(-19). Suppose -4*d + 34 = -38. Is n equal to d? True Suppose 0 = 2*m + 2*k + 12, -2*m + 0*m + 2*k = -8. Let a be 2/(-4)*0*m. Let f = -34 - -169/5. Do a and f have the same value? False Let a = -123 - -126. Suppose -4*v + 39 = i + 2*i, -a = v. Which is smaller: 19 or i? i Let t(v) = -v**3 + 23*v**2 - 19*v - 66. Let s be t(22). Is s greater than or equal to -19/20? True Let y = -214 - -214.3. Is y less than or equal to 62? True Suppose 3*w + w = 28. Suppose -13 = w*z + 1. Which is bigger: -6 or z? z Suppose -9*p - 15 = -12*p. Suppose -r - p*n + 16 = 2*r, r = 4*n + 11. Let z be (-6)/r + -3 - -4. Which is smaller: 1 or z? z Let c(o) = -o - 4. Let j be c(-6). Let u = 0 + j. Suppose -5*r = -u*r - 3. Is 2 <= r? False Let m = 42 - 165. Let r = 77 + m. Which is bigger: 0 or r? 0 Suppose -4*u + 20 = -4*m, 0 = 5*u - 5*m + 3*m - 13. Suppose -5*y - 4 = u. Let k = 10/7 + -8/7. Is k equal to y? False Let j be -1*6/(-4) + (-8151)/3132. Let x = j + -1/116. Which is bigger: -2 or x? x Suppose -5*u + 29 = -b, -5*b - 6 = u + 9. Is u >= 66/13? False Suppose -2*o = q - 4, 7*o - 2*o = 5*q + 25. Let j be o - ((-3 - 0) + 2). Suppose 5*i - j*r = -14, 1 = 4*r - 3. Is -10/7 at least i? True Let p = 77/4 + -11. Which is smaller: p or 1/4? 1/4 Let k be (-1 + 12/(-24))/((-3)/(-284)). Is -139 equal to k? False Suppose -3*t = 2*t + 30. Let n(l) = -3*l - 16. Let h be n(t). Suppose -14 - h = -g. Which is smaller: 17 or g? g Let a = 57496/3 + -19166. Let i = 1 + 0. Is i not equal to a? True Let j = -86 - -95. Which is smaller: -0.02 or j? -0.02 Let l be (-5)/(-1) + (9 - 680/50). Is l less than -42.1? False Let g be 5/(-1)*(0 + 1). Let c be ((-12)/(-14))/(g/35). Suppose 0 = -4*i + 1140 - 1160. Are i and c non-equal? True Let o(h) = 4*h**2 + 7*h + 14. Let u be o(-4). Suppose 49*q - u*q = 0. Is -2/269 at least q? False Suppose 5*v - 5*p = 0, -199*p = 5*v - 198*p. Which is smaller: 1/346 or v? v Let x = -0.03 + 0.43. Let v = x + -2.4. Let o = 1 + v. Are o and -0.2 non-equal? True Suppose 4*f - 667 = r - 665, 3*r = -6. Let v be -1 + 8/21 + 1. Which is smaller: v or f? f Let s = 48 - 85. Let o = s - -63. Which is smaller: o or 27? o Let t(l) = l**3 + 3*l**2 + l - 2. Let n be t(-2). Suppose 3*a - 20 + 5 = n. Suppose -a*j - 3*k - 17 = 11, 3*k = -j - 8. Which is greater: -6 or j? j Let z = -163 - -168.9. Which is smaller: z or -5? -5 Let q = -268 + 269. Is q at most as big as -2/317? False Let m be (-952)/(-756) - (-2)/(-6). Which is bigger: m or 2? 2 Let s = -11 - -19. Suppose 4*i = s, 0 = -3*u + 5*i + 9 - 31. Let m be u/(-4) + (-5)/7. Is m < -2/3? False Let a(f) = -f**2 + 3*f**2 - 3*f**2 - 9 - 6*f. Let q be a(-4). Is q less than or equal to -1/81? True Suppose 0 = 6*z - 17*z. Are -2/29 and z nonequal? True Let f(k) = -2*k - 39. Let u be f(-13). Which is smaller: -1 or u? u Suppose 13643 = -18*a + 3005. Is a smaller than -589? True Let m(i) = 33*i**2 + 13*i - 53. Let q be m(4). Is 526 > q? False Suppose -27 = 5*f + 3. Let x be (5/10)/(1/f) + -7. Is x greater than or equal to -7? False Let o = -1 + -40. Which is smaller: o or 1? o Suppose -4*w + 783 = 75. Is 178 at most as big as w? False Let b(w) = 16*w + 23 - 7*w + 0*w**2 + w**2. Let x be b(-4). Which is smaller: x or 2? 2 Let i = -6.5 - -8. Let r = -2.4 + i. Suppose 0 = -o + 6*v - 11*v - 21, 4*v + 16 = 0. Which is bigger: o or r? r Let d = 1.33 - 21.33. Which is smaller: 1 or d? d Let w be (((-6)/14)/(44/77))/((-2574)/624). Let s be 10/(-14)*6/15. Which is bigger: w or s? w Suppose 18*y = 19*y - 38. Which is smaller: 35 or y? 35 Let j be -8 + ((-6)/10 - 18010/(-2100)). Let k be 0 + (-1 - (-2 + 1)). Which is smaller: k or j? j Let v = 2/417 - -3326/2085. Is -0.9 less than or equal to v? True Let h(l) = 2*l**2 - 16*l + 126. Let s be h(19). Is s equal to 545? False Suppose 23*s - 4*s - 247 = 0. Are -7 and s equal? False Let a = 199 - 199. Is -3/88 at least a? False Let i(p) = -p**2 + 1 - 7 - 4*p**2 + p**3 + 6*p. Let q be i(4). Let t be q + 16/(-4) + 2. Is 1/17 bigger than t? True Let a be 6*(-4 - 125/(-30)). Which is bigger: 1/1962 or a? a Let a = 181/1177 + 3/107. Let s(r) = -2*r - 17 + 13 - 12. Let v be s(-8). Are v and a nonequal? True Let j = -4 + 4.2. Let u = j - -8.8. Let h = -10 + u. Which is bigger: 0.01 or h? 0.01 Let s(t) = -t. Suppose 0 = -2*d - 8, -6*z + z + d = 36. Let c be s(z). Let k(l) = l**2 - 7*l - 9. Let h be k(c). Do h and 0.1 have the same value? False Let f = -27 - -66. Suppose 37*r = 18*r. Let j be (26/f)/(r - -1). Which is smaller: j or 4? j Let j = 67 + -25. Let r be 2023/49 + 4/(-14). Which is smaller: j or r? r Let z = -22732/9 + 153571/63. Let p = z + 88. Are 1 and p unequal? True Let f be ((-25)/10)/(2/1108). Let t = -155121/112 - f. Is t != -1? True Let t = 3.71 + -3.64. Suppose -44 = -5*h + 76. Let j be 22/h - (-2)/(-8). Do t and j have different values? True Suppose 165*g - 191*g + 15938 = 0. Is g at most as big as 612? False Suppose 47 = 2*d + 65. Which is bigger: -52/5 or d? d Suppose 4*g + 3*y + 54 = 0, 3*g - 9 = 4*y - 37. Is g greater than or equal to -2/27? False Let l be (-1)/(22/4) - 100/(-550). Suppose l = -2*p + 3*p + 58. Is p not equal to -1/2? True Suppose 10*d - 56 = 6*d. Let i be (2 - (4 + -1))/(d/(-4)). Is i smaller than -1? False Suppose -w - 23 = -2*v + 250, 0 = 3*w - 5*v + 816. Is w equal to -266? False Let c = 250 + -260. Which is smaller: 1 or c? c Let t = -74 + 93. Which is greater: 18 or t? t Let c = 18 - 13. Suppose -2*a - 4 = -c*q + 7, 4*q - 6 = 3*a. Suppose 5*g + 2*u = -28, 2*g - g + q = -3*u. Is -6 less than or equal to g? True Suppose 2*a + 27*z - 28*z = -335, 0 = 4*a + 5*z + 705. Which is greater: a or -0.1? -0.1 Let i be (-7634)/77 - 6/7. Is i greater than or equal to -102? True Let k be 0 - 6 - (-1 - -3). Let w = k - -10. Suppose -3*z + 2*z = -x - 4, 0 = -w*x + 4*z - 12. Are x and -2 unequal? False Let s = -14 + 21. Suppose -4 = -s*f - 18. Let o = -5 + 5. Is o bigger than f? True Let m = 1107/2 - 630. Is -2/5 at most m? False Let z = -129 + 137. Let h be (2/15)/(z
{ "pile_set_name": "DM Mathematics" }
th term of -6086, -6083, -6080, -6077, -6074? 3*v - 6089 What is the s'th term of 247, 275, 293, 295, 275, 227, 145? -s**3 + s**2 + 32*s + 215 What is the p'th term of -656, -2628, -5916, -10520, -16440, -23676, -32228? -658*p**2 + 2*p What is the q'th term of -50, -71, -86, -95? 3*q**2 - 30*q - 23 What is the m'th term of -171, -163, -135, -75, 29, 189? 2*m**3 - 2*m**2 - 171 What is the c'th term of 45, 10, -75, -216, -419, -690, -1035, -1460? -c**3 - 19*c**2 + 29*c + 36 What is the v'th term of 569, 2280, 5131, 9122, 14253, 20524? 570*v**2 + v - 2 What is the z'th term of 417, 807, 1197, 1587? 390*z + 27 What is the k'th term of 735, 2947, 6635, 11799, 18439, 26555? 738*k**2 - 2*k - 1 What is the p'th term of 97, 199, 303, 409, 517, 627, 739? p**2 + 99*p - 3 What is the t'th term of -17, -111, -205, -299? -94*t + 77 What is the m'th term of -200, -189, -178? 11*m - 211 What is the h'th term of -1, 24, 59, 98, 135, 164? -h**3 + 11*h**2 - h - 10 What is the m'th term of 442, 428, 414, 400, 386, 372? -14*m + 456 What is the q'th term of -31, -1, 77, 227, 473, 839? 4*q**3 + 2*q - 37 What is the o'th term of -6, -10, -12, -12, -10, -6? o**2 - 7*o What is the g'th term of -2, -12, -22, -32, -42, -52? -10*g + 8 What is the o'th term of -785, -1566, -2343, -3116? 2*o**2 - 787*o What is the x'th term of 134, -5, -144, -283, -422? -139*x + 273 What is the c'th term of 19, 53, 89, 127, 167, 209, 253? c**2 + 31*c - 13 What is the o'th term of -2, -11, -28, -53, -86, -127, -176? -4*o**2 + 3*o - 1 What is the q'th term of -709, -1418, -2127, -2836? -709*q What is the p'th term of 40, 83, 126? 43*p - 3 What is the i'th term of -27, -32, -37, -42? -5*i - 22 What is the o'th term of -43, -50, -49, -40, -23, 2? 4*o**2 - 19*o - 28 What is the c'th term of -20, -44, -68? -24*c + 4 What is the f'th term of -165, -306, -447, -588, -729, -870? -141*f - 24 What is the m'th term of -111, -221, -329, -435, -539, -641? m**2 - 113*m + 1 What is the y'th term of -197, -378, -559, -740, -921? -181*y - 16 What is the s'th term of 10, -37, -218, -599, -1246, -2225? -11*s**3 - s**2 + 33*s - 11 What is the i'th term of 9, 22, 55, 120, 229? 2*i**3 - 2*i**2 + 5*i + 4 What is the z'th term of -281, -562, -843? -281*z What is the y'th term of 132, 261, 390, 519, 648? 129*y + 3 What is the z'th term of 27, -1, -29, -57, -85, -113? -28*z + 55 What is the a'th term of 642, 747, 862, 993, 1146, 1327, 1542, 1797? a**3 - a**2 + 101*a + 541 What is the g'th term of -924, -923, -922, -921, -920? g - 925 What is the f'th term of -107, -112, -117, -122? -5*f - 102 What is the v'th term of 27, 51, 75, 99? 24*v + 3 What is the t'th term of -458, -1024, -1588, -2150, -2710? t**2 - 569*t + 110 What is the x'th term of 17, 45, 99, 185, 309, 477, 695, 969? x**3 + 7*x**2 + 9 What is the t'th term of -46, -90, -112, -100, -42? 2*t**3 - t**2 - 55*t + 8 What is the q'th term of -101, -115, -139, -173? -5*q**2 + q - 97 What is the x'th term of -35, -87, -165, -263, -375, -495, -617? x**3 - 19*x**2 - 2*x - 15 What is the v'th term of 6, 4, 4, 6, 10, 16? v**2 - 5*v + 10 What is the s'th term of -297, -250, -187, -102, 11, 158? s**3 + 2*s**2 + 34*s - 334 What is the r'th term of 596, 597, 598, 599, 600, 601? r + 595 What is the b'th term of 22, 78, 134, 190, 246, 302? 56*b - 34 What is the a'th term of -25, -123, -287, -517, -813, -1175, -1603? -33*a**2 + a + 7 What is the d'th term of -451, -902, -1353, -1804, -2255, -2706? -451*d What is the b'th term of -3, 1, 5? 4*b - 7 What is the j'th term of -219, -224, -235, -252? -3*j**2 + 4*j - 220 What is the i'th term of 5, 22, 51, 92, 145? 6*i**2 - i What is the w'th term of 1095, 2199, 3291, 4365, 5415, 6435? -w**3 + 1111*w - 15 What is the q'th term of -36, -43, -64, -105, -172? -q**3 - q**2 + 3*q - 37 What is the y'th term of -158, -137, -116, -95, -74, -53? 21*y - 179 What is the r'th term of 11, 19, 15, -7, -53, -129, -241, -395? -r**3 + 15*r - 3 What is the d'th term of 100, 219, 340, 463, 588, 715, 844? d**2 + 116*d - 17 What is the n'th term of 10, 19, 38, 73, 130, 215? n**3 - n**2 + 5*n + 5 What is the g'th term of -229, -446, -663, -880, -1097, -1314? -217*g - 12 What is the o'th term of -79, -309, -729, -1369, -2259, -3429, -4909? -5*o**3 - 65*o**2 - 9 What is the p'th term of -205, -394, -567, -718, -841, -930, -979, -982? p**3 + 2*p**2 - 202*p - 6 What is the i'th term of -15, -43, -91, -171, -295, -475? -2*i**3 + 2*i**2 - 20*i + 5 What is the m'th term of -186, -369, -550, -729, -906, -1081, -1254? m**2 - 186*m - 1 What is the f'th term of 286, 573, 858, 1141, 1422? -f**2 + 290*f - 3 What is the t'th term of -16, -20, -26, -34, -44, -56? -t**2 - t - 14 What is the k'th term of -348, -321, -284, -231, -156, -53, 84? k**3 - k**2 + 23*k - 371 What is the l'th term of 119, 122, 125, 128, 131? 3*l + 116 What is the l'th term of -4, 43, 202, 539, 1120, 2011? 11*l**3 - 10*l**2 - 5 What is the w'th term of 43, 25, -7, -59, -137, -247, -395, -587? -w**3 - w**2 - 8*w + 53 What is the o'th term of -2626, -10509, -23648, -42043, -65694, -94601? -2628*o**2 + o + 1 What is the a'th term of 58, 62, 66, 70, 74? 4*a + 54 What is the u'th term of 3, -26, -111, -282, -569, -1002, -1611? -5*u**3 + 2*u**2 + 6 What is the s'th term of -44, -87, -130, -173? -43*s - 1 What is the t'th term of -47, -63, -79, -95, -111, -127? -16*t - 31 What is the z'th term of -1416, -2829, -4242, -5655, -7068? -1413*z - 3 What is the v'th term of -7830, -7828, -7826? 2*v - 7832 What is the f'th term of -120, -237, -352, -465, -576, -685? f**2 - 120*f - 1 What is the i'th term of -2, 8, 16, 22, 26? -i**2 + 13*i - 14 What is the m'th term of 381, 382, 383, 384? m + 380 What is the u'th term of 265, 530, 793, 1054, 1313, 1570, 1825? -u**2 + 268*u - 2 What is the c'th term of 33, 89, 171, 273, 389, 513, 639, 761? -c**3 + 19*c**2 + 6*c + 9 What is the r'th term of -4, 3, 26, 71, 144, 251, 398, 591? r**3 + 2*r**2 - 6*r - 1 What is the b'th term of 894, 1795, 2700, 3609, 4522, 5439? 2*b**2 + 895*b - 3 What is the q'th term of -42, -153, -336, -591, -918, -1317? -36*q**2 - 3*q - 3 What is the y'th term of 17, 21, 25, 29? 4*y + 13 What is the g'th term of 16442, 16441, 16440, 16439? -g + 16443 What is the p'th term of -1301, -2606, -3911, -5216, -6521? -1305*p + 4 What is the z'th term of 229, 242, 271, 322, 401, 514, 667, 866? z**3 + 2*z**2 + 226 What is the p'th term of 70, 75, 82, 91, 102? p**2 + 2*p + 67 What is the x'th term of -1, -9, -17? -8*x + 7 What is the u'th term of 37, 28, -1, -62, -167, -328? -2*u**3 + 2*u**2 - u + 38 What is the z'th term of -2130, -2137, -2154, -2187, -2242, -2325? -z**3 + z**2 - 3*z - 2127 What is the r'th term of 1158, 1160, 1162? 2*r + 1156 What is the q'th term of -5, -12, -19? -7*q + 2 What is the l'th term of 133, 274, 415, 556, 697, 838? 141*l - 8 What is the o'th term of 69, 257, 577, 1035, 1637? o**3 + 60*o**2 + o + 7 What is the y'th term of 310, 2512, 8484, 20110, 39274, 67860? 314*y**3 + y**2 + y - 6 What is the d'th term of 144, 147, 164, 201, 264, 359, 492, 669? d**3 + d**2 - 7*d + 149 What is the w'th term of -65, -123, -179, -233, -285, -335, -383? w**2 - 61*w - 5 What is the k'th term of 29, 22, 15, 8, 1, -6? -7*k + 36 What is the w'th term of 47, 106, 165? 59*w - 12 What is the y'th term of -42, -67, -80, -75, -46? y**3 - 32*y - 11 What is the c'th term of -12, -19, -26, -33, -40? -7*c - 5 What is the q'th term of 10, 51, 166, 391, 762, 1315? 6*q**3 + q**2 - 4*q + 7 What is the a'th term of 1200, 1199, 1202, 1209, 1220? 2*a**2 - 7*a + 1205 What is the i'th term of -77, -183, -311, -455, -609, -767? i**3 - 17*i**2 - 62*i + 1 What is the y'th term of 22, 64, 142, 262, 430, 652, 934? y**3 + 12*y**2 - y + 10 What is the s'th term of -1824, -3652, -5480, -7308, -9136? -1828*s + 4 What is the c'th term of 40, 168, 506, 1156, 2220, 3800, 5998? 17*c**3 + 3*c**2 + 20 What is the z'th term of -5206, -5204, -5202? 2*z - 5208 What is the i'th term of 66, 241, 526, 915, 1402, 1981, 2646, 3391? -i**3 + 61*i**2 - i + 7 What is the a'th term of -43, -46, -49? -3*a - 40 What is the c'th term of 4, -13, -64, -167, -340, -601, -968? -3*c**3 + c**2 + c + 5 What is the w'th term of 153, 156, 159? 3*w + 150 What is the p'th term of -6750, -13502, -20254, -2
{ "pile_set_name": "DM Mathematics" }
j*j))**(17/2))**(-5) assuming j is positive. j**(-935/2) Simplify ((((z**(-8)*z)/z)/(z*z**7/z))**(-6/13))**(-10/3) assuming z is positive. z**(-300/13) Simplify (z**(-2/9))**(-2/25)/(z**(-7)/z**21) assuming z is positive. z**(6304/225) Simplify (d**(1/58)/((d*d/(d/d**(-11)*d*d))/d))/(d/d**(-3))**42 assuming d is positive. d**(-8989/58) Simplify (h/(h/(h**(-4)/h)))**(-2/29)/(((h**(1/38)*h*h)/h)/h**19) assuming h is positive. h**(20187/1102) Simplify ((r/r**2)/((r**(-4/15)*r)/r))/(r/(r*r**(-1/4)/r*r))**(-1/25) assuming r is positive. r**(-217/300) Simplify (s/(s**(-1)*s)*s*s*s**0*s/s**(5/6)*s**6)**29 assuming s is positive. s**(1595/6) Simplify q**(-1/22)/q*(q*q**(-26))/q*q**(-13/5)/(q**(2/7)/q) assuming q is positive. q**(-22277/770) Simplify y*y/y**12*y/y**(-3)*y*(y*y**(-28))/(y/y**9) assuming y is positive. y**(-24) Simplify (x**(-5/8)*x*x**3)/((x*x*(x*x/(x/x**7)*x)/x*x)/(x*x/(x*(x/((x/(x*(x*x*x/(x**(-2/3)/x*x))/x))/x*x))/x))) assuming x is positive. x**(-223/24) Simplify ((p/(p**(-1/4)/p)*p)/(p**(-26)*p))/(p*p**(-17)*p)**6 assuming p is positive. p**(473/4) Simplify ((x**(-2/35)/x)/x)**(-28)*x**4/x**(-6/17) assuming x is positive. x**(5266/85) Simplify ((n**(-7/4)*(n*n**(-5))/n)**(-10/11))**(2/15) assuming n is positive. n**(9/11) Simplify (i**(-5))**(13/5)/(i**(-1/2)/(i**1*i*i)) assuming i is positive. i**(-19/2) Simplify (((u**2)**(-32))**(4/15))**(-7) assuming u is positive. u**(1792/15) Simplify (l**(3/8)/(l**6*l)*(l**(-1))**(4/13))**(-4/13) assuming l is positive. l**(721/338) Simplify v**(-2/51)/v*v/v**(-4)*(v**(1/5))**(6/23) assuming v is positive. v**(23536/5865) Simplify (h/h**(-7/9))/(h*((h/h**16)/h)/h)*h**(-21)*h*h/(h**18*h*h) assuming h is positive. h**(-191/9) Simplify (v*v**19)/(v**(-1/3)*v)*v**(-16/3)/v**(-6/29) assuming v is positive. v**(412/29) Simplify ((u/(u/(u/u**(-10/7))))/((u/(u/(u/((u/(u*u**(-1/18)))/u))*u))/u))**35 assuming u is positive. u**(1565/18) Simplify (p**1)**(-5/4)/(p/(p/p**2))**(-33) assuming p is positive. p**(259/4) Simplify (y*y*y**2*y)/y**(-2/15)*y**26/(y/y**(1/42)) assuming y is positive. y**(2111/70) Simplify h/(h*h**(1/6))*h**13*h/h**11*h**(-5/4) assuming h is positive. h**(19/12) Simplify (((v/(v**(-9)*v))/v)/v)/(v/v**4*v)*(v*v/((v/(v*v**(-1/13)))/v)*v)/((v*v**(-7)*v)/v) assuming v is positive. v**(246/13) Simplify (w**6)**(-8/9)/((w*w*(w**(9/4)/w)/w*w*w)/((w/(w*w**(2/3)))/w*w)) assuming w is positive. w**(-41/4) Simplify (v*v/(v*v*v/v**(2/9))*v/v**(-20))**(2/13) assuming v is positive. v**(28/9) Simplify ((g**(-1)/g)**(-18))**40 assuming g is positive. g**1440 Simplify (w/(w/((w*w**(-1/2)*w)/w)))**(-2/17)*w**(-1/25)*w/(w/w**(-4)*w)*w assuming w is positive. w**(-1742/425) Simplify ((z**5*z**12/z)**(7/5))**(-2/43) assuming z is positive. z**(-224/215) Simplify p**(-15)*p*(p*(p/p**(-4/3))/p)/p*p**(-13/3)/p*p**(3/13) assuming p is positive. p**(-231/13) Simplify (((d*(d**(9/7)*d)/d)/d*d**(12/13))**(-1/23))**(-7) assuming d is positive. d**(201/299) Simplify (((z*z**(3/8))**(-29))**(46/3))**(-1/10) assuming z is positive. z**(7337/120) Simplify (u**(7/4))**(2/95)/((u/u**(-2/37))/u**(-4/13)) assuming u is positive. u**(-121083/91390) Simplify (i/(i/(i**10*i))*i)**24/(i*i*i**(-2/17)*i**(-3/16)) assuming i is positive. i**(77875/272) Simplify ((m/((m/(m/m**(-10)))/m))**(-29))**(1/3) assuming m is positive. m**(-116) Simplify (n**(-7)/(n*((n/n**(1/3))/n)/n)*n**(1/3)/(n*n/((n*n**6)/n)))**(-1/20) assuming n is positive. n**(7/60) Simplify (b/(b/(b*b*b/(b/b**(-7/6)))))**(-15)/((b**(-3/13)*b)/(b*b*b/(b*(b*b**(-20)/b)/b))) assuming b is positive. b**(253/26) Simplify ((t**(2/5)*t)/t*t**(-10)*(t/(t/t**(6/11)*t)*t)/(t/(t**(2/9)*t)))**23 assuming t is positive. t**(-100556/495) Simplify (b**9*b**(2/9))**(29/2) assuming b is positive. b**(2407/18) Simplify (y/(y**(3/5)*y))**(-41)*y/(y*y*y*y**(-2/19)*y)*y*y*y**21 assuming y is positive. y**(4247/95) Simplify (((q/q**(-6))/(q*q**(2/5)/q))/(q/q**1)**(1/35))**(-13/3) assuming q is positive. q**(-143/5) Simplify v/(v/(v**(2/5)*v))*v*v/(v*((v*v/(v/v**15)*v)/v)/v)*v**(-1)/(v/(v/v**(-13)*v)*v) assuming v is positive. v**(-3/5) Simplify (y**(-4)/y**(3/10))/(y*y*y**(1/5)*y*y)**(-4/9) assuming y is positive. y**(-73/30) Simplify (b**1)**(-25)/(b/b**(-1/35)*((b/(b**(-26)*b*b))/b)/b) assuming b is positive. b**(-1716/35) Simplify (((i**(-1/3))**33)**(-2/35))**(26/7) assuming i is positive. i**(572/245) Simplify (((r**(-19)*r)/r**13)**(-1/27))**(-37) assuming r is positive. r**(-1147/27) Simplify (v**14/v)**9/((v**(-10/9)/v)/((v*v/(v**(-16)*v))/v)) assuming v is positive. v**(1216/9) Simplify ((i*i*i**7*i**(-1/4))**(-17))**(-45) assuming i is positive. i**(26775/4) Simplify (f/(f*f**(3/8)))/((f*f**(2/7)*f*f)/f*f)*f**(2/7)*f**(-6) assuming f is positive. f**(-75/8) Simplify (m/(m*(m**(2/7)/m)/m*m)*m*m/m**1*m**(-6)*m**(-2/19))**28 assuming m is positive. m**(-2336/19) Simplify k*k**(-4/9)*k**(1/19)*(k/(k**(-3)*k)*k)**19 assuming k is positive. k**(13100/171) Simplify ((j/((j/j**12)/j*j))/j**(2/3))**13 assuming j is positive. j**(442/3) Simplify ((p**8*p*p**(-11)/p)**21)**(-16/7) assuming p is positive. p**144 Simplify ((h*h**8*h*h*h)/((h**(-14)/h*h)/h))/(h**8/((h/((h**(-2/13)*h)/h))/h)) assuming h is positive. h**(249/13) Simplify ((i*(i**(1/20)*i)/i)/i)**(-20/7)/(((i*i**(-39))/i)/(i/((i*i*i*i**6*i)/i))) assuming i is positive. i**(216/7) Simplify (w**(-10)*w**(-3/4))/(w*w*w*w**25*w)**(-4/13) assuming w is positive. w**(-95/52) Simplify ((t**(-2))**(-12/19)*t*t*t**4*t*t*t/(t*t**(-3/4))*t)**(-2/9) assuming t is positive. t**(-93/38) Simplify (s*s**6*s**0*(s/(s/(s/(((s*s**0)/s)/s))))**(-22/7))**(-5/7) assuming s is positive. s**(-25/49) Simplify (h**12*h**(-9))/(h**(-1/6)/(h*(h**9/h)/h)) assuming h is positive. h**(67/6) Simplify ((h/(h*h*h**(-17/4))*h**21)**(13/3))**35 assuming h is positive. h**(44135/12) Simplify (w/(((w**(2/67)/w)/w*w)/w))**35*w**(2/25)/w**30 assuming w is positive. w**(124009/1675) Simplify l**(-31)*l**(-20)*(l/(l**(-2/51)*l))/l*l/(l/(l/(l*l**17)))*l assuming l is positive. l**(-3466/51) Simplify m**(-2/19)*m**(1/2)*m*(m/(m*m/m**(-5)))**42 assuming m is positive. m**(-9523/38) Simplify (((k/(k**3*k)*k)/k*k*k**6)/(k*k**0)**(-2/21))**(-35) assuming k is positive. k**(-430/3) Simplify ((b/(b**1*b))**(4/11)*b**1*b**(-3))**45 assuming b is positive. b**(-1170/11) Simplify (l**(2/11))**(2/75)/(l*(l**(-1/6)*l*l)/l*l)**(-45) assuming l is positive. l**(210383/1650) Simplify b**(-2/17)*b/(b*b**(-8/7)/b)*b**(8/9)*b**14 assuming b is positive. b**(18115/1071) Simplify (p*(p/(p*p**(-23)*p))/p)**(-6/7)*(p/(p/(p/(p**15/p))))**(13/5) assuming p is positive. p**(-1843/35) Simplify g/g**(3/8)*(g**1*g)/g*((g*g**(5/3))/g)**(-2) assuming g is positive. g**(-41/24) Simplify (w*w*w**(11/6)*w**(-3))/(w**(1/2)*w**(-14)) assuming w is positive. w**(43/3) Simplify (((s/s**16)/s)/s*s)/((s/s**1*s)/s)*(s**(-1)/s)/s*s*s**(-13/2) assuming s is positive. s**(-49/2) Simplify (k**(-1/19)*k)/k**(-4/7)*(k**(-7/4)*k)**(-41/5) assuming k is positive. k**(20399/2660) Simplify u**(2/19)*u**(1/4)*(u/u**20)/((u*u/(u/u**(-8/7)))/u) assuming u is positive. u**(-9311/532) Simplify (i**(3/17)/i**14)**(-34) assuming i is positive. i**470 Simplify (d**(-14/5)*d*d/(d*d**(-15/2)*d))**44 assuming d is positive. d**(1034/5) Simplify (g**(-1/3))**(13/2)/(g**(-3)/g*g)**13 assuming g is positive. g**(221/6) Simplify ((f/f**(-1))**(-47)*((f/(f/f**(-1/3)))/f)/f*f**(-1/6))**(13/3) assuming f is positive. f**(-2509/6) Simplify (l/(l*l**(2/45)))/(l**(-8)*l)*l**(-1/6)*l**(-2/7) assuming l is positive. l**(4097/630) Simplify j**(5/6)/(j**12*j)*j**(1/16)/(j**(2/19)*j) assuming j is positive. j**(-12047/912) Simplify ((v*v**(-2))**(25/6)/(v/((v**(-8)*v)/v)*v*v**(-9/4)*v*v))**(1/45) assuming v is positive. v**(-167/540) Simplify (((u/u**(-2/3))/u)/u**(2/7))/(u/(u**(2/3)/u)*u*u/u**(-2/17)) assuming u is positive. u**(-1096/357) Simplify (x**(4/13)/(x*x**(-1/39)))**(1/71) assuming x is positive. x**(-2/213) Simplify ((f*f*f**(2/5)*f*f)**(-15)/(f**(-6)/(f**(-6)*f)))**(-18) assuming f is positive. f**1170 Simplify (p**(-2/7)*p)**(-2/45)/(p*p**(-4)*p*p**(8/9)) assuming p is positive. p**(68/63) Simplify ((o*o**(2/47))/o)**(-17)*o/o**11*o*o**(-6/13)/o assuming o is positive. o**(-6834/611) Simplify (g*g*g**3)**(-2/43)/(g**(8
{ "pile_set_name": "DM Mathematics" }
Let d = 693 + -311. Suppose -5*f + 0*f - 3*q = 505, 4*f + d = 2*q. Calculate the common denominator of -65/18 and f*(-4)/32*1. 36 Let k(j) = j**2 + 4*j - 10. Let c be k(2). Find the common denominator of -49/10 and (-410)/40*(0 + c). 10 Suppose -r - 2*c + 8 = 0, -3*c + 9 = -6. What is the lowest common multiple of 9 and ((-1)/r)/(4/88)? 99 Let b(u) = u**2 + 29*u + u**3 - 1 - 27*u - 3*u**3. Calculate the smallest common multiple of 84 and b(-2). 420 Let v(o) = o**3 - 2*o - 1. Let k be v(2). Let p(l) = -l - 16. Let y be p(-29). Let d = k + y. Calculate the lowest common multiple of 26 and d. 208 Suppose 5*j = 5*f + 730, 0*f + 4*f = 20. Let i = j + -449/3. What is the common denominator of i and 143/6? 6 What is the lowest common multiple of 1 - -886 - 4 - (-1 - 2) and 4? 1772 Find the common denominator of (-7)/60*(-17 + (-11 - -7)) and -23/50. 100 Let m = 11 - 8. Suppose 5*h + 5 = 5*j, m*h + 3 = 3*j - 2*h. What is the common denominator of j/1 + 158/(-16) and -17/4? 8 What is the common denominator of 5/42 and (-4)/(-1) - ((-7160)/528)/(-5)? 462 Let t = 4117202958539/150649520 + 1/150649520. Let r = t + -27326. Find the common denominator of r and 29/34. 476 Suppose -8*f - 4 = 12, 5*u - 138 = -f. Calculate the lowest common multiple of 324 and u. 2268 Let r be (-165431)/210 + (-2)/5. Let c = 790 + r. Calculate the common denominator of 77/6 and c. 6 Suppose o - 3*z = 57, -z = -2*o - 5*z + 124. Calculate the least common multiple of o and 8/(-10) + 114/5. 660 Let n = 7 + 57. Let d = -57 - -33. Calculate the least common multiple of 34 and 30/(-4)*n/d. 340 Let o be 260/6*-6*3/15. Let z = o - -63. Calculate the smallest common multiple of 10 and z. 110 Let n be 6/10 + 22719/(-37065). Let a = 10188029/7413 + n. Let x = a + -1393. What is the common denominator of -54/7 and x? 21 Find the common denominator of (-4)/30*(770/(-15) + 3) and 12/45 + 2/(-1). 45 Let a = 624 - 580. Let v be (6/(-3) - -2)/(-1). Suppose v = g + 5*t - 7, 4*t + 9 = 5*g - 113. Calculate the least common multiple of a and g. 44 What is the least common multiple of 480/56 + (-6)/(-14) and 39? 117 Let i(b) = 2*b - 7. Let k be i(6). Let o(m) = m**2 - 4*m + 1. Let y be o(k). What is the common denominator of -49/3 and (-18)/(-42)*76/y? 21 Suppose -2*x + l + 10 = 0, 4*x + x - 2*l - 24 = 0. Suppose -f - x*f = -20. Let m(v) = -v**2 - 8*v - 5. What is the least common multiple of m(-4) and f? 44 Calculate the common denominator of 2*((-57)/108 - 6/(-8)) and -82/15. 45 Let j = -75383/18 + 4180. What is the common denominator of (-2 - 1221/210) + 3/5 and j? 126 Let i = 320/13 - 1675/39. Suppose g = 2*g - 3. Find the common denominator of i and 9 + (g - 24/9). 3 Let r(l) = -7 + 1 - 2*l + 1 + 2. Let o be r(-3). What is the common denominator of (20/o)/(7/3) and -19/4? 28 Suppose -175 + 13 = -6*f. Let x = -65 - -95. Calculate the least common multiple of x and f. 270 Let j(r) = -r - 5. What is the least common multiple of -2*21*12/(-36) and j(-9)? 28 Suppose 4*p - 2 - 26 = 0. Calculate the common denominator of -125/6 and 515/(-345) + (p/6 - 1). 138 Let z be (9/3 + (-14)/(-2))*1. Suppose 3*l = -6, -5*l + 40 = 5*s + z. What is the least common multiple of s and 2? 8 Suppose -474 = -28*j + 114. Calculate the lowest common multiple of j and 93. 651 Calculate the common denominator of (-1)/(-3)*(-3354)/240 - -6 and 19/20. 120 What is the common denominator of (6 - (-498)/(-96))*(-1 - 6) and 1/29? 464 Let t be (-1)/(1/(-2)) + -1. Let b = 7 + t. Suppose b = 4*l - 48. What is the least common multiple of 8 and l? 56 Let p(v) = v**2 - 7*v + 6. Let i be p(7). Suppose i = -3*h + 5*h. Let c = h - 1. What is the least common multiple of c and 20? 20 Let j = -20 - -29. Let z(o) = -o + 10. Let a be z(j). What is the lowest common multiple of 18 and (-2 + a)*-3 - 1? 18 Calculate the common denominator of 2/(-6)*-35*2 and (1470/108 - 6) + (-8 - -4). 18 Suppose -3*a - 12 = -3*y, 2*a - 4 = -3*y - 12. Suppose y = -2*w - 2*w + 4. What is the smallest common multiple of w and (3/(3/7))/1? 7 Let h = -1625/252 - 163/84. Let p = 389925/33544 + 3/4193. Calculate the common denominator of h and p. 72 Let x = -1052 - -22114/21. What is the common denominator of x and 40/33? 231 Suppose -10*t + 343 = -3*t. Let g = -39 + t. What is the lowest common multiple of g and 24? 120 Suppose -h - 2*q = -2 - 8, 22 = 5*h - 4*q. Let x = 10 - 6. Calculate the lowest common multiple of h and x. 12 Let g = -2739/1360 - -13/170. What is the common denominator of (4104/(-180))/(21 + -1) and g? 400 Let t = -2 - -7. Let o(y) = -4*y + 11 + 3*y + 1. Calculate the smallest common multiple of o(t) and 3. 21 Suppose 17 = -a - 113. What is the common denominator of (a/4 + 2)/10 and 93/52? 260 Suppose -7436 = 5*f - 3*c, 3812 = -3*f - 5*c - 636. Let x = f + 29733/20. Find the common denominator of x and 43/84. 420 Suppose 24 = 4*t - t. Let s be -14*-3*16/6. What is the smallest common multiple of t and (4 + s/(-20))*(-10)/4? 8 Let a = -6132 - -36925/6. Calculate the common denominator of a and -45/166. 498 Let i = 40 - 35. What is the smallest common multiple of 6 + -3 + 2/2 and i? 20 Suppose -4*c - 3*k = -51, 4*c - 5*k - 31 = -4*k. What is the lowest common multiple of c and 9? 9 Suppose 0 = 14*r + 6010 - 19394. What is the smallest common multiple of 40 and r? 9560 Let j = -227638/29 + 546709/348. Let m = j - -6284. What is the common denominator of -53/8 and m? 24 Calculate the common denominator of 55/39 and 3 + (-737)/(-2310) + -3. 2730 Suppose -4*m = 20, -i - 2*i + 5*m + 58 = 0. Suppose 2*n - i - 9 = 0. Calculate the lowest common multiple of n and 7. 70 Suppose 3*v - 91 = 5*p, -p + 0*v - 11 = 3*v. Let w = -6751/876 + 9/73. Find the common denominator of w and p/10 - 2/(-8). 60 Let y(m) = 3*m**2 - 8. Calculate the lowest common multiple of 16 and y(-4). 80 Let c = 8/7057 + -65002171/127026. Let h = c + 509. Calculate the common denominator of -83/36 and h. 36 Let a = -1183 + 4905. Calculate the smallest common multiple of 6 and a. 11166 Let v = 485 + -395. What is the smallest common multiple of v and 45? 90 Let j = 10 + -9. Suppose -3 = -2*p + j. What is the lowest common multiple of (-3 - -9)/(23/(-26) + 1) and p? 52 Let c = 28012/7 + -4010. Let h = 9778/915 + -6/305. Find the common denominator of h and c. 21 Let z be (-2)/(-192)*(-2)/(1 + 1). Let p = -493/96 - z. What is the common denominator of 83/14 and p? 56 Let l(n) = n**3 - 2*n**2 - 4*n + 6. Suppose -51 = -4*p - 11. What is the smallest common multiple of p and l(4)? 110 Let c = 12 + -9. Suppose 2 + 1 = -c*h. What is the common denominator of 13/6 and (-69)/(13/(-2) + h)? 30 Let k = 770 + -767. What is the lowest common multiple of 272 and k? 816 Suppose 4*k - 5*t = 3*k + 35, 4*t - 42 = -2*k. Suppose -3*u = -8*u + 2*x + 98, -u - 5*x = -k. What is the smallest common multiple of u and 8? 40 Suppose 163 - 93 = 7*m. What is the lowest common multiple of m and 14? 70 Let t be ((7 - 8) + 196)*(-12)/(-10). Suppose 6*f + t = -3*f. Calculate the common denominator of 97/62 and f. 62 Suppose -5*i - 102 + 12 = 0. Let n = i + 30. Calculate the lowest common multiple of 6 and n. 12 Let l be 13/20*22 + 0. Let y be (-6)/(-14) - (-1000)/(-112). Let w = y + l. Find the common denominator of w and -39/5. 5 Let r = 185563/52515 + -2/10503. What is the common denominator of r and -41/21? 105 Let i be 111706/24 - (1 - 1). Let l = -4645 + i. Find the common denominator of l and -103/22. 132 Let h = -63/41 - 319/246. What is the common denominator of 59/4 and h? 12 Let b(t) = -7*t - 5. Let h be b(-2). Suppose 0 = -6*k + h*k - 24. Calculate the lowest common multiple of k and 8. 8 Let c(f) be the first derivative of f**3/3 + 6*f**2 + 24*f + 22. Calculate the lowest common multiple of 3 and c(-12). 24 Suppose -4*g = 4*t - 16, -t + 3 + 9 = 5*g. Suppose -t*b + 5*b = 42. Calculate the lowest common multiple of b and 18. 126 Let f(n) = n**3 - n**2 + 4*n - 74. What is the least common multiple of 12 and f(8)? 2436 Let r(d) = -d**3 - 20*d**2 + 21*d + 5. Let j be r(-21). Suppose -3*q + j*h = -89, q + 2*q = -2*h + 82. What is the lowest common multiple of q and 36? 252 Let i(x) = -6 + 15 + 4*x - 8. Let o be i(2). Calculate the lowest common multiple of 2 and 66/o - 6/18. 14 Let w = -21 - -29. Let p = w - 5.
{ "pile_set_name": "DM Mathematics" }
8 Work out 2 * -136.3687. -272.7374 Multiply 5 and 3633. 18165 -1.9 times -216 410.4 Multiply -0.62 and 1.313. -0.81406 Calculate -3*3640. -10920 -16299 times 0.39 -6356.61 2 * 20499 40998 24.85 * -77 -1913.45 What is 3 times 3182.45? 9547.35 What is the product of -69 and 0.1342? -9.2598 2194*-0.06 -131.64 237 times 9 2133 Calculate -0.8*-1281.4. 1025.12 Multiply -30.17 and -0.68. 20.5156 What is -33.46 times -0.13? 4.3498 Multiply 26.06 and 213. 5550.78 What is 16663.8 times -0.5? -8331.9 Multiply 0.12775 and -22.6. -2.88715 Calculate -16*44. -704 -3.63737 times 0.1 -0.363737 Work out -1308 * 0.707. -924.756 What is 2 times 0.0999229? 0.1998458 -540 * 0.193 -104.22 Work out -1.4 * -1396. 1954.4 0.5 * -33252 -16626 Calculate -5*-336209. 1681045 -41 times 0.904 -37.064 What is 0.2 times -886.4? -177.28 What is the product of 1.71 and -1069? -1827.99 Work out -4 * -1456. 5824 0.3*2881 864.3 What is 0.9598 times -0.7? -0.67186 17 times 1.15 19.55 Product of 0.141 and 6.491. 0.915231 0.099*0.613 0.060687 Multiply -5 and 1387. -6935 Product of -5.14 and 18.7. -96.118 -5 times 257959 -1289795 -15.16 times 214 -3244.24 -0.56*-723 404.88 0.2 times 15908 3181.6 Product of -0.1 and -1690.25. 169.025 48691 times 0.1 4869.1 Product of -0.21 and 5132. -1077.72 Calculate -1*-329.83. 329.83 125794 times 6 754764 32.54*0.4 13.016 Multiply 0.17 and 0.1091. 0.018547 What is the product of 2 and 134770? 269540 0 * 224326 0 Multiply -849 and -154. 130746 What is 0.2 times -6951.8? -1390.36 -1.23 times 0.0698 -0.085854 0.1*10097 1009.7 41.86368 times 0.1 4.186368 979268*3 2937804 Multiply -0.6316 and -3. 1.8948 Multiply 27.1301 and 0.5. 13.56505 Multiply -25.9 and -914. 23672.6 -282526 times -4 1130104 10290 * 2 20580 Work out -4 * 1.15489. -4.61956 What is 219.72 times -8? -1757.76 Calculate 5*0.02719. 0.13595 -5179 times -10 51790 -0.4*-187462 74984.8 -2754*32 -88128 4747 * 0.06 284.82 366*-94 -34404 Product of 6 and 10.6927. 64.1562 What is -57 times 0.0362? -2.0634 What is 2 times -63855? -127710 -35164 * -2 70328 Work out 3 * 82652. 247956 What is the product of 1643.98 and 0.5? 821.99 0.3 * -0.057 -0.0171 Product of 83 and 621. 51543 Multiply -255 and 61. -15555 -286*-429 122694 Work out -21 * -400.43. 8409.03 Calculate 14.07*2.84. 39.9588 Multiply 0.305 and 138. 42.09 Work out -13.98 * -0.26. 3.6348 What is -69697 times 0.5? -34848.5 Calculate -0.06882*-143. 9.84126 6.17*-63 -388.71 Work out 0.17 * 2.323. 0.39491 Multiply 139.8 and -1.3. -181.74 What is the product of -0.17 and -1182.8? 201.076 What is -54794 times 9? -493146 What is the product of -0.26 and -0.6971? 0.181246 What is 10.8 times -1070? -11556 2.31 * -1919 -4432.89 Work out -341615 * -3. 1024845 What is the product of 1.71 and 3.34? 5.7114 Multiply -1.5643 and -0.02. 0.031286 What is the product of -0.36 and -1324? 476.64 Multiply 102 and -0.00542. -0.55284 Work out 0 * -2.11291. 0 What is 0.05 times -3.05672? -0.152836 Calculate 10.211*-23. -234.853 What is -0.04406 times 12.8? -0.563968 Calculate 5*5063. 25315 -8*-564.96 4519.68 1 times -29329 -29329 -14.507 * -0.003 0.043521 What is the product of 0.1218 and 0.15? 0.01827 Product of 20194 and -44. -888536 Work out 2274 * -0.18. -409.32 What is 21602.88 times 2? 43205.76 What is 9 times 4597? 41373 Calculate 1.187*181. 214.847 1110 times -13.3 -14763 What is -0.36338 times -0.062? 0.02252956 0*-7511 0 Calculate -91.7699*-2. 183.5398 0.1 times 50453 5045.3 What is the product of -22 and 0.08747? -1.92434 -105.6 times 0.72 -76.032 What is -841 times 34? -28594 Product of 0.2 and 11841. 2368.2 Product of 0.5 and -0.0299. -0.01495 Multiply 0.053 and -0.0572. -0.0030316 -0.4 * 191559 -76623.6 What is the product of 0.3 and 673024? 201907.2 17*128.2 2179.4 -2626 * -3.6 9453.6 What is -141 times -0.169? 23.829 Calculate -109.4*192. -21004.8 What is 0.1868 times -0.4? -0.07472 What is the product of -52 and -0.108? 5.616 -2 * -2.08997 4.17994 Calculate -0.3*-4.879. 1.4637 -13852 * -5 69260 0.2*-1505.27 -301.054 8.81*100 881 -2 * -36850 73700 Work out 201.97 * 79. 15955.63 Work out -53 * 12349. -654497 Multiply -2551 and -0.1. 255.1 Work out 1 * 6150. 6150 What is -32 times 326? -10432 -9024 times 0.395 -3564.48 What is the product of 222.3 and 200? 44460 Work out 105283 * 0.1. 10528.3 -127.46*11.2 -1427.552 -1643 * 55 -90365 Product of 182818 and 0. 0 -0.01 times 2355.5 -23.555 What is -939.99 times 15? -14099.85 -0.08*507.7 -40.616 0.18793 * -4 -0.75172 Product of 0.06 and 1.2071. 0.072426 Calculate -0.038*-0.322. 0.012236 Product of -155195 and -0.1. 15519.5 -0.064206*-0.3 0.0192618 -0.3 * -7539 2261.7 Product of -0.5 and -0.044191. 0.0220955 4354*0.013 56.602 0.16517 times 11 1.81687 What is the product of 5 and -34223? -171115 Calculate 17205*-0.05. -860.25 Calculate 0*-0.407873. 0 -2 times -1076 2152 Multiply 5 and -0.353761. -1.768805 What is -2002 times 21? -42042 0*341440 0 Work out 0.3 * -84.066. -25.2198 0.03*-1.745 -0.05235 -0.044577 * 0.3 -0.0133731 Work out -0.01 * 71.9429. -0.719429 Calculate 24917*0.4. 9966.8 Calculate -0.131*-684. 89.604 0.5 times 0.0128635 0.00643175 Product of -0.089179 and 0.1. -0.0089179 What is the product of -22522.3 and 0.4? -9008.92 Calculate 3024625*-5. -15123125 What is the product of -131735 and 5? -658675 Work out 660 * -6.9. -4554 Calculate -2*5953. -11906 Multiply 1015 and 15. 15225 Multiply 0.5118 and 0.6. 0.30708 Multiply 5 and -15206. -76030 What is the product of -1.3339 and 0.2? -0.26678 Calculate 0*1.226268. 0 Work out 7 * -1.74. -12.18 Calculate 0.168*-4.5461. -0.7637448 What is 1560 times 0.21? 327.6 Calculate -33560*-6. 201360 Calculate 1.257969*-0.3. -0.3773907 Calculate -89.9*42. -3775.8 Product of 21120 and 4. 84480 263132 * 3 789396 Multiply -423.9 and -0.035. 14.8365 Multiply -1 and 0.15611. -0.15611 2.2 * 911 2004.2 -5 times -7.046 35.23 Calculate 0.3*-1692.6. -507.78 Product of 0.069 and -52695. -3635.955 -3 * -30424 91272 Multiply -0.240438 and 6. -1.442628 What is 1 times -0.90857? -0.90857 1*5821 5821 -296338 times 2 -592676 -245 * 87 -21315 Work out -0.02 * 0.63832. -0.0127664 Calculate 0*-31.93. 0 Calculate 18*9340. 168120 What is 0.3 times -61327? -18398.1 Product of -45.038 and -0.2. 9.0076 -121*-1.771 214.291 What is -129.57 times 2.91? -377.0487 Work out 0.5 * 4309. 2154.5 What is the product of -30.0594 and 0.4? -12.02376 What is the product of 1.5 and 5002? 7503 What is the product of 0.5 and 1064.4? 532.2 What is the product of 168 and 0.1852? 31.1136 Product of -471413 and 0.3. -141423.9 What is 3 times 71.08? 213.24 Work out -1000.16 * -2. 2000.32 Product of -2775 and 0.04. -111 What is the product of 6233 and -81.3? -506742.9 Product of 1231 and 23. 28313 0.4 times -14173.7 -5669.48 3 times 878.351 2635.053 What is the product of 0.1 and -6.889? -0.6889 Product of 43 and 12.403. 533.329 What is 0.4 times -45084? -18033.6 -131841*-0.3 39552.3 -0.307 * -153 46.971 What is 0.5119 times -0.5? -0.25595 -349835 * 8 -2798680 What is 0.0095 times -0.3806? -0.0036157 What is -0.00138 times -633? 0.87354 Multiply 494077 and -0.2. -98815.4 0*191907 0 What is -50 times -113? 5650 -24.19178*0 0 11.321*31.1 352.0831 What is -0.1 times 18.8422? -1.88422 Multiply 5385.82 and -2. -10771.64 Calculate 0.29*5887. 1707.23 -0.5827 * -77 44.8679 -96 times 134.2 -12883.2 What is -56762 times 1? -56762 Work out -33 * -5.1526. 170.0358 Work out -85217 * -2. 170434 Work out 1699958 * -1. -1699958 What is the product of -5 and 0.245651? -1.228255 Product of 0.4 and -0.46391. -0.185564 Product of -0.263914 and -4. 1.055656 -122 times -2.36 287.92 Calculate -0.230645*2. -0.46129 Product of -6.1 and -22.46. 137.006 Work out 29514 * -26. -767364 Product of 0.2 and -1449.24. -289.848 Work out -0.1 * 615614. -61561.4 What is -1623545 times 3? -4870635 Product of -0.2 and 5048. -1009.6 0.026 times 6806 176.956 What is the product of -387 and 6.154? -2381.598 Work out 8099.3 * 4. 32397.2 Calculate -2*-16004. 32008 -1*0.4748 -0.4748 What is the product of -0.5 and 227263? -113631.5 Product of 267696 and -0.5. -133848 Multiply 9955 and 0.5. 4977.5 What is 0.3 times 49.6? 14.88 Calculate 2279.284*-0.5. -1139.642 Product of 48 and -940. -45120 Product of 1.36498 and 9. 12.28482 33*-7.96 -262.68 -120.526 t
{ "pile_set_name": "DM Mathematics" }
0, 349? 3*d**3 + 7*d**2 - 37*d - 16 What is the w'th term of 185333, 185335, 185337? 2*w + 185331 What is the g'th term of -96, -806, -2762, -6588, -12908, -22346? -104*g**3 + g**2 + 15*g - 8 What is the k'th term of -162, 45, 254, 465, 678? k**2 + 204*k - 367 What is the j'th term of 137, 206, 319, 476, 677? 22*j**2 + 3*j + 112 What is the v'th term of -5304514, -5304516, -5304518, -5304520, -5304522, -5304524? -2*v - 5304512 What is the m'th term of 49943, 99881, 149819, 199757? 49938*m + 5 What is the g'th term of -2021, -7946, -17819, -31640? -1974*g**2 - 3*g - 44 What is the m'th term of -1312, -2578, -3848, -5122, -6400? -2*m**2 - 1260*m - 50 What is the q'th term of 191865, 383719, 575573, 767427, 959281? 191854*q + 11 What is the t'th term of 798, 865, 932, 999, 1066? 67*t + 731 What is the h'th term of -27, 107, 331, 645, 1049? 45*h**2 - h - 71 What is the g'th term of 243, 1037, 2381, 4275, 6719, 9713, 13257? 275*g**2 - 31*g - 1 What is the n'th term of 4815, 5504, 6653, 8262? 230*n**2 - n + 4586 What is the w'th term of 4616, 4613, 4610, 4607? -3*w + 4619 What is the m'th term of 162725, 325455, 488185, 650915, 813645, 976375? 162730*m - 5 What is the w'th term of 11401, 22804, 34207? 11403*w - 2 What is the a'th term of -89, -541, -1673, -3809, -7273, -12389, -19481, -28873? -54*a**3 - 16*a**2 - 26*a + 7 What is the n'th term of -400290, -800583, -1200876? -400293*n + 3 What is the o'th term of 385, 753, 1121? 368*o + 17 What is the f'th term of 99, 190, 401, 792, 1423? 10*f**3 + 21*f + 68 What is the j'th term of 314, 247, 180, 113? -67*j + 381 What is the j'th term of 12547, 24723, 36899, 49075, 61251, 73427? 12176*j + 371 What is the s'th term of -10196, -40791, -91784, -163175? -10199*s**2 + 2*s + 1 What is the i'th term of -146807, -146806, -146805, -146804, -146803? i - 146808 What is the j'th term of -4148, -4178, -4256, -4406, -4652, -5018, -5528? -4*j**3 - 2*j - 4142 What is the y'th term of 85286, 85280, 85274, 85268, 85262? -6*y + 85292 What is the q'th term of -405008, -405011, -405014, -405017? -3*q - 405005 What is the v'th term of -806, -1581, -2356, -3131, -3906? -775*v - 31 What is the w'th term of 114, 34, -46, -126? -80*w + 194 What is the y'th term of 8537, 8570, 8603, 8636, 8669? 33*y + 8504 What is the g'th term of 1345, 1743, 2141, 2539, 2937, 3335? 398*g + 947 What is the n'th term of -8065582, -8065586, -8065592, -8065600, -8065610, -8065622, -8065636? -n**2 - n - 8065580 What is the g'th term of -34, -71, -96, -97, -62? 2*g**3 - 6*g**2 - 33*g + 3 What is the a'th term of -395685, -791368, -1187051, -1582734, -1978417? -395683*a - 2 What is the l'th term of -54702, -54703, -54704, -54705, -54706, -54707? -l - 54701 What is the q'th term of 7101, 14196, 21281, 28356, 35421, 42476? -5*q**2 + 7110*q - 4 What is the y'th term of -68, -336, -862, -1700, -2904, -4528, -6626, -9252? -9*y**3 - 75*y**2 + 20*y - 4 What is the w'th term of -106321, -106322, -106323, -106324, -106325, -106326? -w - 106320 What is the y'th term of -60915, -121831, -182747, -243663, -304579? -60916*y + 1 What is the n'th term of 4088563, 8177124, 12265685, 16354246, 20442807, 24531368? 4088561*n + 2 What is the t'th term of -27, -94, -189, -300, -415, -522, -609, -664? 2*t**3 - 26*t**2 - 3*t What is the c'th term of -651, -1308, -1977, -2664, -3375, -4116, -4893, -5712? -c**3 - 650*c What is the u'th term of -5754, -5454, -5154, -4854, -4554? 300*u - 6054 What is the f'th term of -223, -1445, -2667? -1222*f + 999 What is the d'th term of 123287, 123293, 123299, 123305, 123311, 123317? 6*d + 123281 What is the f'th term of 214891, 429787, 644681, 859573, 1074463, 1289351, 1504237? -f**2 + 214899*f - 7 What is the c'th term of -1286, -974, -450, 286, 1234? 106*c**2 - 6*c - 1386 What is the i'th term of -415, -795, -1137, -1423, -1635, -1755? 3*i**3 + i**2 - 404*i - 15 What is the p'th term of 361, 2918, 9853, 23356, 45617? 365*p**3 - p**2 + 5*p - 8 What is the n'th term of -286, -587, -910, -1255, -1622? -11*n**2 - 268*n - 7 What is the v'th term of -31, 65, 221, 437? 30*v**2 + 6*v - 67 What is the l'th term of -4479, -8961, -13443? -4482*l + 3 What is the c'th term of -455, -619, -783, -947? -164*c - 291 What is the x'th term of 14773, 29543, 44313, 59083, 73853, 88623? 14770*x + 3 What is the x'th term of -2993, -12024, -27067, -48116, -75165, -108208, -147239? x**3 - 3012*x**2 - 2*x + 20 What is the v'th term of 54855, 54843, 54829, 54813, 54795, 54775? -v**2 - 9*v + 54865 What is the u'th term of 111060, 111064, 111070, 111078, 111088? u**2 + u + 111058 What is the r'th term of 1194, 9665, 32700, 77583, 151598, 262029? 1214*r**3 - 2*r**2 - 21*r + 3 What is the l'th term of 42, 138, 292, 504, 774, 1102, 1488? 29*l**2 + 9*l + 4 What is the b'th term of 6424, 6483, 6580, 6715, 6888, 7099? 19*b**2 + 2*b + 6403 What is the t'th term of 2297, 1582, 877, 188, -479, -1118, -1723, -2288? t**3 - t**2 - 719*t + 3016 What is the i'th term of 96, -244, -598, -972, -1372? -i**3 - i**2 - 330*i + 428 What is the p'th term of -438709, -438708, -438707, -438706, -438705, -438704? p - 438710 What is the v'th term of -2812, -2824, -2836? -12*v - 2800 What is the n'th term of 15, 46, 81, 108, 115, 90, 21, -104? -2*n**3 + 14*n**2 + 3*n What is the p'th term of 17713, 35371, 53029, 70687, 88345, 106003? 17658*p + 55 What is the x'th term of -5323, -5378, -5433, -5488? -55*x - 5268 What is the u'th term of 108, -113, -488, -1023, -1724? -u**3 - 71*u**2 - u + 181 What is the x'th term of 207658, 415315, 622972, 830629? 207657*x + 1 What is the u'th term of 63, 85, 125, 189, 283, 413? u**3 + 3*u**2 + 6*u + 53 What is the u'th term of 5073, 5085, 5101, 5121, 5145, 5173? 2*u**2 + 6*u + 5065 What is the h'th term of -1784, -3594, -5442, -7346, -9324? -3*h**3 - h**2 - 1786*h + 6 What is the l'th term of 273761, 273762, 273763? l + 273760 What is the u'th term of -4015, -15979, -35915, -63823, -99703, -143555, -195379? -3986*u**2 - 6*u - 23 What is the r'th term of 79404, 158802, 238200? 79398*r + 6 What is the o'th term of 409, -86, -1479, -4220, -8759, -15546, -25031, -37664? -75*o**3 + o**2 + 27*o + 456 What is the u'th term of -28267, -56532, -84797, -113062, -141327, -169592? -28265*u - 2 What is the m'th term of 1360, 1424, 1492, 1564, 1640, 1720, 1804? 2*m**2 + 58*m + 1300 What is the h'th term of 6064, 6068, 6074, 6082, 6092, 6104, 6118? h**2 + h + 6062 What is the n'th term of 356, 448, 528, 590, 628, 636? -n**3 + 99*n + 258 What is the f'th term of 1628, 2349, 3070, 3791? 721*f + 907 What is the s'th term of 5895, 23507, 52847, 93915? 5864*s**2 + 20*s + 11 What is the c'th term of -5595, -5598, -5601, -5604? -3*c - 5592 What is the r'th term of 19, 65, 145, 247, 359? -2*r**3 + 29*r**2 - 27*r + 19 What is the p'th term of 1, 119, 437, 1051, 2057, 3551, 5629? 16*p**3 + 4*p**2 - 6*p - 13 What is the m'th term of -20, 36, 214, 574, 1176, 2080? 10*m**3 + m**2 - 17*m - 14 What is the g'th term of 29391, 29346, 29301, 29256? -45*g + 29436 What is the t'th term of 110, 243, 408, 605, 834, 1095, 1388? 16*t**2 + 85*t + 9 What is the b'th term of 162678, 162676, 162674, 162672? -2*b + 162680 What is the o'th term of -747940, -747939, -747938, -747937? o - 747941 What is the d'th term of -27616, -27617, -27618? -d - 27615 What is the t'th term of 160983, 160982, 160981? -t + 160984 What is the d'th term of -1090964, -2181921, -3272878, -4363835, -5454792, -6545749? -1090957*d - 7 What is the y'th term of -1613, -3083, -4555, -6029, -7505? -y**2 - 1467*y - 145 What is the p'th term of -614, -1119, -1638, -2177, -2742, -3339, -3974, -4653? -p**3 - p**2 - 495*p - 117 What is the v'th term of 45, 50, 47, 30, -7, -70, -165, -298? -v**3 + 2*v**2 + 6*v + 38 What is the n'th term of -452, -436, -422, -410, -400, -392? -n**2 + 19*n - 470 What is the k'th term of -168, -223, -328, -489, -712, -1003? -k**3 - 19*k**2 + 9*k - 157 What is the t'th term of 54, 162, 346, 606? 38*t**2 - 6*t + 22 What is the i'th term of 1262354, 1262355, 1262356, 1262357? i + 1262353 What is the w'th term of 1423, 2692, 3961, 5230, 6499? 1269*w + 154 What is the l'th term of 6675, 6683, 6695, 6711, 6731, 6755? 2*l**2 + 2*l + 6671 What is the l'th term of 183869, 183870, 183871, 183872, 183873, 18
{ "pile_set_name": "DM Mathematics" }
5) Simplify (d**(-25)/d**(4/19))/((d*d**(-34))/d**(-41)) assuming d is positive. d**(-631/19) Simplify g**(-5)/g**(2/11)*g**4*g**(-4)*(g/(g*g**0)*g/(g/(g*g**4)))**(4/3) assuming g is positive. g**(49/33) Simplify (n**(19/4)*n*n**(-31)*n*n**(-1/33)*n**(-1/12))**10 assuming n is positive. n**(-2680/11) Simplify (j/(j*j/j**2))**19*j**(2/5)/j**(-1)*(j**(1/8)/(((j*j/(j**(2/13)/j*j))/j)/j))**(-36) assuming j is positive. j**(1347/130) Simplify ((m**(4/5)/(m/m**3))/(m*m**(-4/3)*m*m**(-2/5)))/((m**0)**(13/4))**36 assuming m is positive. m**(38/15) Simplify ((i*i/i**(-1)*i*i)**23/(i*i/(i/(i*i**(-1/6)*i))*i*i**(-7)*i))**(-16) assuming i is positive. i**(-5624/3) Simplify ((((n*n**(-3/4))/n**(-7/3))/(n*n**4*n*n**(-1/6)/n*n*n))**(-2/91))**(-1/70) assuming n is positive. n**(-17/12740) Simplify ((n**2/n)/(n/n**(-1/3)))**(-2/21)/((n*n**1)**(-17/6)*(n**(-1/4))**(-15/2)) assuming n is positive. n**(1927/504) Simplify ((x/(x**1/x*x))**32*(x**(2/7))**(2/11))/(x/((x*(x*x/((x/x**1)/x))/x)/x)*x**(-2)*x)**(-49) assuming x is positive. x**(-7542/77) Simplify (((y/y**(-2))**(-35)/(y**(1/3)/y**8))**(1/40))**(-17/6) assuming y is positive. y**(1241/180) Simplify q**42/(q*q**(1/6))*q**26*q**22 assuming q is positive. q**(533/6) Simplify ((u**0/(u/u**(-1)))/(u/u**(2/9))**46)/(((u*u**(-2/3))/u*((u/(u**(1/6)/u))/u)/u*u)/(u**(2/5))**(-13)) assuming u is positive. u**(-3883/90) Simplify c*c**(-2)*c**(-1/12)/c*(c**0)**(2/81)*(((c/(c/(c*c*c/c**(-3))))/c)/c**4)/(c**6*c/(c/(c*c**(-2))*c*c)) assuming c is positive. c**(-49/12) Simplify (((k/(k**(-12)/k))/k)/k*k/k**(-1/3))**50/((k*k/(k**(-2/7)*k))**(-49)*(k/(k**1/k))/k*k*k**(-2/31)) assuming k is positive. k**(67772/93) Simplify (((w/w**(-3))/w)/(w**(-6)/w))/(((w*w*(w*w**(4/5))/w)/w)/(w**(2/9)*w))*(w**(-1)/w**(-4))/(w**1*w)**(8/11) assuming w is positive. w**(5429/495) Simplify ((v**5/(v*v/v**2*v))/((v**(-8/3)*v)/v**(-1)))/((v*v*v**(-1/4)*v*v)**(9/8)*((v/(v*v**(2/19)/v))/v*v)/((v*v/(v/v**(-3/11)))/v*v)) assuming v is positive. v**(5627/20064) Simplify (((l/l**(-2)*l)/l)**(-46))**26/(((l/(l/l**(-2/9)))/(l/(l/l**(-4/3))))/((l**(-2/7)*l)/(l*l**(-2)/l))) assuming l is positive. l**(-225943/63) Simplify ((s*s/(s/(s*s**(-9)))*s**5/s*(s/(s**0/s))**33)**22)**(-11/3) assuming s is positive. s**(-5082) Simplify (q**(-4/9)*q/(q**(-1/2)*q*q*q)*(q/(q/(q**(-1)/q))*q)**(-1/23))/((q**(2/5))**(-7/4)*((q*q**(-2/3)/q)/q*q)**(-2/77)) assuming q is positive. q**(-97091/79695) Simplify ((((l**(-1/2)/l*l*l)/l)/l)/l)**(-2/55)/((l/l**2)/(l/(l*l**4)))*(l**0)**(2/7)/(l**(1/7)/(l*l**3)) assuming l is positive. l**(73/77) Simplify ((j**(-6)*j*j**8*j)/(j**(-7/5)/(j*j**(-11))))**(-43) assuming j is positive. j**(989/5) Simplify ((q*q**(-2/3))/((q/q**4)/q)*(q/(q/(q*q*q**(-1/5))))/((q/(q**5*q))/q))/(q/(q**(-6)*q)*q**7/q)**43 assuming q is positive. q**(-7558/15) Simplify a**(4/9)/((a**(-1)*a*a)/a)*(a/(a**7*a))/(a*(a/((a/(a*a**5))/a))/a*a)*a*a/a**9*a**3*a**(3/2)/a*(a**7/a)/a assuming a is positive. a**(-235/18) Simplify (w**5*w**(-2)*w)/(w**(-2/5)/(w/w**1))*w**3*w**7*(w*w/w**6*w)/(w*w**1*w) assuming w is positive. w**(42/5) Simplify ((x**(2/11)*x**(-1)*x)/((x**(-9)/x)/((x**(-1)/x)/x)))/((x/x**(3/5))/(((x/x**(-12))/x*x)/x))**(2/111) assuming x is positive. x**(45121/6105) Simplify ((((n*n*n/n**(1/10))/n)/n)/((n**2/n)/n*n))**28*(n**(-1/4)/n*n)**50*(n*n**(-7))/n**(-5) assuming n is positive. n**(-163/10) Simplify (((h/h**5)/(h*h**6*h))/((h*h**5)/(h*h**(-1/5))))/(h**(-9)*h*h**9*h)**(-31) assuming h is positive. h**(224/5) Simplify (((((d/(d/d**(-1/4)))/d)/d)/(d/d**(8/9)*d))/(d**6)**32)**(-27) assuming d is positive. d**(21099/4) Simplify ((((f/(f/(f*f**5)))/f)/f)**(-9/2)*f**(1/18)*f**(-4/5))**18 assuming f is positive. f**(-1687/5) Simplify ((r**(-1/2)*r)/r)**(2/31)/(r*r/(r*r/(r/r**1)))**(-26)*(r**(-1)*r*r**(1/5)*r)**10 assuming r is positive. r**(371/31) Simplify ((p**(1/2))**(-31)/(p**3*p*p**(4/7)/p))/(p**4/(p**(2/5)*p)*(p*p**(-1/3))**(-7)) assuming p is positive. p**(-3571/210) Simplify ((j/(j*j**10)*j)/((j/(j/(j/(j/j**(-1/3)))*j))/j*j)*j**2/(j**(-13)/j*j))**(-23) assuming j is positive. j**(-506/3) Simplify ((z**(1/3)/z)**28)**(-19/2)*z**2/(z**(2/3)/z)*((z*z*z**0*z*z)/z)**(-1/4) assuming z is positive. z**(2147/12) Simplify (m**1*m/m**(1/17))**(-2/61)*m**(-3/7)/(m/m**(1/3)*m*m)*m**6/m**(2/17) assuming m is positive. m**(59309/21777) Simplify (((r**(-14))**17)**40)**(-39) assuming r is positive. r**371280 Simplify (q**(-3)/q**2)**(-2/23)*(q**(3/7)/(q/(q/(q*q*q**3))))/(q**3*q**4) assuming q is positive. q**(-1793/161) Simplify (n**(2/11)/(n*n**7*n*n))/(n**(2/7)*n*n**(-2/3)*n)*(n*n*n/(n*n/(n**(1/3)/n)*n*n)*n)**6/(((n/n**(-7))/n)/n*n*n/n**(-3/2)) assuming n is positive. n**(-11521/462) Simplify (((a/a**(1/3)*a*a*a*a**(2/5)/a)**(-11))**(-1/48))**(-5) assuming a is positive. a**(-253/72) Simplify ((d**4/d*d**(1/2)*d**(2/13)/(d**(-6)*d))**37)**6 assuming d is positive. d**(24975/13) Simplify ((l/(l*l**0))/l)**49*(l**(-4)*l*l*l)/l*l*(l/(l**(5/3)*l)*l*l)/l*(l/(l*l/(l*l/l**(-5/4)))*l*l**9)**24 assuming l is positive. l**(730/3) Simplify (((w/((w**(8/3)*w)/w))/(w/((w/(w/(((w*(w/w**(-3))/w)/w)/w))*w*w)/w)))/(w**(3/5)/w)**(7/4))**7 assuming w is positive. w**(217/30) Simplify ((h**4*(h/h**9)/h*((h*h**5)/h)/(h/h**7))**(1/5))**(1/14) assuming h is positive. h**(3/35) Simplify ((h**(1/27)/h)/h*h**18*h**(-18)/(h/h**(-2/15)*h))**(-45) assuming h is positive. h**(553/3) Simplify ((d*(((d/((d/(d/d**(-3)))/d))/d)/d)/d*d**8)/(((d/(d**(-8)/d))/d)/(d*d**(1/4))))/(d**5/d**(1/6)*(d*(d/d**0)/d)/d**8) assuming d is positive. d**(65/12) Simplify (i*i*i**(5/7))**(1/97)/((i/(i*i**(5/7)))/(((i*i*i**(-1/4))/i)/i)) assuming i is positive. i**(191/388) Simplify (o**(1/5)/o*o*o**(-1/23)*o*o**(-2/31)/o*o/o**2)**38 assuming o is positive. o**(-123006/3565) Simplify (h**3*h*h/h**(-7)*h*(h/((h*h**(1/3))/h))/h*h**(-1/5))/(h*h**(2/3)/h*h/(h*h**(-1)))**10 assuming h is positive. h**(-21/5) Simplify ((r*r**(-8)*r**3)/(r**(-1/5)*r)**(-6/7))**32 assuming r is positive. r**(-3712/35) Simplify ((((k*k*k*k**(-4/7)*k)/k)/(k*k**11))/((k/(k/k**(-17)))/k**(-9)))**(-42/11) assuming k is positive. k**6 Simplify ((z**3/z*z*z/(z/(z*z/(z**(2/27)/z))))/(z**(2/5))**(30/13))/((z**(2/3)/z*z)**0*(z**0)**(-10/9)) assuming z is positive. z**(1756/351) Simplify w*w/(w*w*w**(2/15))*w*w*w**(-3/2)*w**(-1)*w**(1/3)/w*w**(2/7)*w*w/(w/((w/w**(4/9))/w))*(w/w**(-1))**(-14) assuming w is positive. w**(-17929/630) Simplify (((o**19*o)/o*(o*o/(o**(1/40)*o))/o)**(-33))**(12/5) assuming o is positive. o**(-75141/50) Simplify ((((i/(i*i**(-1/12)*i*i))/(i**(6/13)/i))/(i**(-1/4))**(15/7))**10)**(1/51) assuming i is positive. i**(-2300/13923) Simplify (v**9)**(1/27)/(v**9)**(1/20) assuming v is positive. v**(-7/60) Simplify ((b*(b*b**(-25))/b*b*b*b**(-18))/((b**(-4)/b)/b)**(13/6))**(-13) assuming b is positive. b**351 Simplify ((h**(-1)*h)**(3/7)*h*h/h**(-3)*h*h*h/h**(2/13))/((h/(h/((h**(-2/7)*h)/h)))/(h**1*h))**(-33) assuming h is positive. h**(-6150/91) Simplify (((s**14/s)/s**(2/9))/(((s/s**(2/15))/s*s*s*s)/s*s)**43)**(-2) assuming s is positive. s**(9944/45) Simplify (((a/(a/a**(-2))*a**(1/4))/(a**(-2)/a*a**(-10)))**(-3/41))**(-9/7) assuming a is positive. a**(1215/1148) Simplify ((m**(-1)*m*m**(2/9))/(m/m**(-1)*m*m**(-3/2)))/((m/m**12*m)/(m/(m/(m*m/m**(2/13)))))**35 assuming m is positive. m**(96721/234) Simplify j**(5/3)/(j/j**(-3)*j)*j/(j**0/j)*j*j/(((j/j**(-6))/j)/j)*(j**(1/6)/(j**(2/21)*j))/(j/j**(-1))**(-10/13) assuming j is positive. j**(-2033/546) Simplify (d**(-1/6)*(d*d**(-1/12))/d*d**7/d**(-4/11))**(10/11) assuming d is positive. d**(1565/242) Simplify (f*f/(f**(1/3)*f)*f)**(-4/15)*(f**1/f)**(6/11)*(f/(f**(1/4)/f))**1/(f*f*f/(f/(f/f**(-2))))**(-15) assuming f is positive. f**(2747/36) Simplify ((q*q**(-2))**(15/4))**(-11/4)/((q*q/(q*q*q**(-1/3)/q*q)*q**(-3))/(q**1*(q*(q**(1/4)*q)/q)/q*q)) assuming q is positive. q**(731/48) Simplify (((o*o**(-25))/(o/o**(-14)*o))/(o**(-2))**(1/8))**(22/7) assuming o is positive. o**(-1749/14) Simplify (((a**(-1/7)/a)/a**(-1/3))/(a/(a/(a/a**7*a))*a**(-20)*a))**(1/9) assuming a is positive. a**(487/189) Simplify ((n**(-5/4))**28/(n**35*n**(-1/22)))**(2/7) assuming n is positive. n**(-1539/77) Simplify (b**(-46)*b*b*b**(-2/17)*b)/(b*b**(-2/5)*b*b*b**(-14)/b) assuming b is positive. b**(-2611/85)
{ "pile_set_name": "DM Mathematics" }
e: 2, g: 1}. Give prob of picking 1 g and 1 e. 1/68 Calculate prob of picking 1 s, 1 t, and 1 z when three letters picked without replacement from {s: 1, t: 2, z: 2, d: 1}. 1/5 What is prob of picking 3 j when three letters picked without replacement from {j: 1, q: 5, g: 3}? 0 Two letters picked without replacement from ugagyjyayy. Give prob of picking 1 a and 1 u. 2/45 Two letters picked without replacement from {a: 2, y: 1, n: 1}. What is prob of picking 2 a? 1/6 Calculate prob of picking 1 v and 3 u when four letters picked without replacement from {p: 4, d: 4, u: 5, v: 5, i: 1}. 25/1938 Two letters picked without replacement from rfhrhrhhhhhfrffrh. Give prob of picking 2 f. 3/68 Calculate prob of picking 1 w and 3 y when four letters picked without replacement from wyyyywyy. 4/7 Four letters picked without replacement from {d: 1, v: 1, k: 5, s: 4}. Give prob of picking 4 k. 1/66 What is prob of picking 1 d and 1 c when two letters picked without replacement from cclzd? 1/5 Three letters picked without replacement from zzzzzzsszzzzsszszzz. What is prob of picking 2 z and 1 s? 455/969 Two letters picked without replacement from ddnddddnddaddndd. Give prob of picking 2 a. 0 Four letters picked without replacement from {h: 4, j: 16}. Give prob of picking 3 h and 1 j. 64/4845 Three letters picked without replacement from yhfgh. Give prob of picking 1 y, 1 h, and 1 f. 1/5 Four letters picked without replacement from {c: 11, t: 2, o: 3, e: 3}. Give prob of picking 1 t and 3 o. 1/1938 What is prob of picking 2 e, 1 v, and 1 l when four letters picked without replacement from vlekevvlllvvkkllkv? 1/85 Calculate prob of picking 2 k and 2 c when four letters picked without replacement from wfekeccfckecccfkknwf. 6/323 Three letters picked without replacement from {w: 2, j: 1, i: 2, z: 1}. Give prob of picking 1 i and 2 w. 1/10 What is prob of picking 3 r when three letters picked without replacement from rooroooooooooorooo? 1/816 Calculate prob of picking 1 k and 2 p when three letters picked without replacement from pppkk. 3/5 Two letters picked without replacement from yzznzryz. What is prob of picking 1 n and 1 z? 1/7 What is prob of picking 1 v and 1 b when two letters picked without replacement from {n: 1, b: 2, i: 1, h: 1, s: 2, v: 2}? 1/9 Four letters picked without replacement from {g: 4, p: 4, d: 2}. Give prob of picking 2 g and 2 p. 6/35 Three letters picked without replacement from {e: 4, d: 1, b: 3, s: 4, o: 1}. What is prob of picking 1 b, 1 o, and 1 s? 6/143 Two letters picked without replacement from {c: 2, m: 17}. Give prob of picking 2 c. 1/171 Four letters picked without replacement from {f: 3, o: 8}. What is prob of picking 3 f and 1 o? 4/165 Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {o: 1, p: 3, s: 7, u: 3}. 3/364 What is prob of picking 1 i and 2 n when three letters picked without replacement from {n: 3, i: 9}? 27/220 Calculate prob of picking 3 k when three letters picked without replacement from {n: 6, g: 1, k: 8, i: 4, c: 1}. 14/285 Three letters picked without replacement from xzxzx. Give prob of picking 2 x and 1 z. 3/5 What is prob of picking 2 n and 2 f when four letters picked without replacement from nwnffwnf? 9/70 Calculate prob of picking 2 w when two letters picked without replacement from {j: 1, v: 1, q: 5, c: 3, w: 2}. 1/66 What is prob of picking 3 i when three letters picked without replacement from iiiiibibbi? 7/24 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {t: 2, y: 2, v: 1, c: 1, r: 1, n: 1}. 1/28 Calculate prob of picking 4 c when four letters picked without replacement from cccsccssccsscccscc. 11/68 What is prob of picking 1 g and 1 t when two letters picked without replacement from gdggdguiuuuguugutu? 2/51 Calculate prob of picking 1 z, 1 x, and 1 t when three letters picked without replacement from {n: 1, x: 1, z: 1, t: 2}. 1/5 Calculate prob of picking 3 a when three letters picked without replacement from {a: 3}. 1 What is prob of picking 1 l and 3 g when four letters picked without replacement from oglgglllglggoglgg? 18/85 Four letters picked without replacement from {s: 3, y: 1, m: 2, e: 1, f: 7}. What is prob of picking 1 e, 1 y, and 2 f? 3/143 Four letters picked without replacement from {d: 2, y: 6, q: 4, m: 3}. Give prob of picking 2 d, 1 y, and 1 m. 6/455 What is prob of picking 1 s, 1 j, and 1 i when three letters picked without replacement from ipsjjilm? 1/14 Calculate prob of picking 3 s and 1 x when four letters picked without replacement from {u: 4, s: 3, x: 5, o: 1}. 1/143 Two letters picked without replacement from wuupupuuuxnuunxun. Give prob of picking 1 x and 1 p. 1/34 Four letters picked without replacement from {y: 7, z: 1, b: 1, l: 3, v: 4}. Give prob of picking 1 z, 1 y, and 2 v. 3/130 Three letters picked without replacement from aantaznnnaawwoanz. Give prob of picking 2 n and 1 t. 1/68 Four letters picked without replacement from nxeeepxepeee. What is prob of picking 2 e, 1 x, and 1 p? 28/165 Two letters picked without replacement from mvmtzzzzzzmku. What is prob of picking 1 v and 1 t? 1/78 Calculate prob of picking 3 y when three letters picked without replacement from {v: 4, y: 7}. 7/33 Calculate prob of picking 1 e and 1 y when two letters picked without replacement from zvyezesyewvv. 1/11 Two letters picked without replacement from sosso. What is prob of picking 2 s? 3/10 Calculate prob of picking 1 s and 2 n when three letters picked without replacement from nsfffsfnssssss. 2/91 Two letters picked without replacement from ssajpwawjfswaafj. What is prob of picking 1 p and 1 s? 1/40 Four letters picked without replacement from ypyyypytt. What is prob of picking 1 t and 3 y? 10/63 What is prob of picking 3 a when three letters picked without replacement from xaaxxxxxaxx? 1/165 Four letters picked without replacement from {j: 1, w: 1, p: 1, f: 2}. Give prob of picking 1 j, 2 p, and 1 f. 0 Calculate prob of picking 1 f, 1 z, and 2 q when four letters picked without replacement from ezlfzoezlloeqqql. 9/1820 Calculate prob of picking 2 a when two letters picked without replacement from xxjaxaxgazax. 1/11 Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {r: 8, s: 7, f: 3}. 7/51 Calculate prob of picking 2 u and 2 o when four letters picked without replacement from oggougugg. 1/126 Two letters picked without replacement from {d: 1, h: 7, j: 1, q: 3, m: 1}. What is prob of picking 1 j and 1 q? 1/26 Three letters picked without replacement from {j: 1, z: 1, c: 2}. What is prob of picking 1 j, 1 c, and 1 z? 1/2 Calculate prob of picking 3 a and 1 b when four letters picked without replacement from cacacpaapapbbpcacaa. 28/969 Two letters picked without replacement from {h: 2, i: 7, k: 2}. What is prob of picking 1 i and 1 k? 14/55 Two letters picked without replacement from {c: 2, w: 7, o: 2}. Give prob of picking 1 c and 1 w. 14/55 Three letters picked without replacement from {f: 3, g: 2}. What is prob of picking 1 g and 2 f? 3/5 Two letters picked without replacement from {x: 1, f: 7, u: 4, a: 2, h: 1}. What is prob of picking 1 u and 1 h? 4/105 Three letters picked without replacement from wyykkykkwkw. Give prob of picking 2 y and 1 w. 3/55 Three letters picked without replacement from xlpxbllxxpbnxnnxnnbq. What is prob of picking 1 q, 1 b, and 1 l? 3/380 Calculate prob of picking 1 h, 1 w, and 1 q when three letters picked without replacement from uwuqhuuhqh. 1/20 Calculate prob of picking 3 e when three letters picked without replacement from {w: 14, e: 4}. 1/204 What is prob of picking 4 p when four letters picked without replacement from {p: 4, r: 3, b: 5}? 1/495 Two letters picked without replacement from zuziiiiruizg. Give prob of picking 1 g and 1 z. 1/22 Two letters picked without replacement from ebyyyeybyyy. What is prob of picking 1 y and 1 b? 14/55 Four letters picked without replacement from {v: 4, j: 3, h: 1, o: 12}. What is prob of picking 2 o, 1 v, and 1 h? 88/1615 Calculate prob of picking 2 j when two letters picked without replacement from jojjjjjojjj. 36/55 Two letters picked without replacement from hoooh. Give prob of picking 2 o. 3/
{ "pile_set_name": "DM Mathematics" }
= -w, 0 = 5*r - 25 for y. 4 Suppose 4*z - 88 = 4*d, 4*d - 38 + 30 = 0. Solve 9*l + 5*n + 21 = 8*l, 0 = l - 4*n - z for l. 4 Let z be (-42)/(-9) - (-14)/42. Suppose -y - 1 = -w + 1, z*y = -10. Solve -2*v + 6 = -5*h + v, w = -h + 2*v + 3 for h. -3 Let d be (-2)/9 - (-1288)/126. Let x be (4/(-3) + 1)*(-10 + d). Suppose -3*m - 2*m + 45 = x. Solve -4*k + m*k - 4 = -3*t, t + 8 = 3*k for t. -2 Suppose -4*o = -4*n, -n - 2*n - 2 = -4*o. Solve 0 = -5*v - 5*z, 7*v + 5 = 10*v + n*z for v. 5 Let q = 5 + -3. Let w(m) = m**3 + 9*m**2 + 3*m + 29. Let n be w(-9). Suppose -4 = -4*y + n*y. Solve k = h + 3, -k - k + y = q*h for k. 2 Let b be -2 - (-1)/(5/30). Let h be 6/(-2)*23/(-3). Suppose 0 = j - a - h, -b*a + a = -5*j + 117. Solve -3*o = -4*u - j, -u - 23 = -0*u - 5*o for u. -3 Let p = -762 + 1366. Let x = p - 601. Solve -n + 3*m = 7, -x*m + 6 - 7 = n for n. -4 Let d(r) = -15*r**2 + 145*r + 54. Let t be d(10). Solve -t*q - 3*h = -8, -20*q - 7 = -25*q - 3*h for q. -1 Suppose -5*u + 2*s - 470 = -7*u, -3*s - 705 = -3*u. Let x be (-94)/u + (-44)/(-10). Solve z = o - 1, -3*z - 9 = -2*o - x for z. -3 Suppose 0 = s - 5*l - 2, -6*s - 4*l - 5 = -17. Solve -5*d = -5*y - 35, -16*d + 13*d + s*y = -19 for d. 5 Let v be -13 - -15 - -3*(1 + 0). Solve 5*o - v = t - 10, -15 = t + 5*o for t. -5 Suppose -2*s = k + 23, 0 = 2*s - 2*k + k + 21. Let g(d) = d**3 + 14*d**2 + 32*d - 11. Let r be g(s). Solve 8*u - 3*u + 2*f - 7 = 0, 5*u - 3*f - 27 = r for u. 3 Let k(w) = -6*w**2 + 29*w + w**2 + 11*w + 0 + 7. Let t(g) = -2*g**3 - g**2 - g - 6. Let o be t(-2). Let y be k(o). Solve -3*z = -9, -2*b + 4*z - z = y for b. 1 Let a = -337 - -344. Suppose 0 = a*i + 96 - 124. Solve 0 = -i*n - 2*f, -n + 14 = -0*n + 4*f for n. -2 Let b(n) = 2*n**2 + 51*n + 7. Let h be b(-25). Let q(l) = 2*l**2 + 23*l - 230. Let i be q(h). Let m = 19 - 9. Solve m = -5*s, -3*u + 0*u + i*s = -11 for u. 1 Let j = 60 + -26. Suppose 25 = -3*n + j. Suppose -b - 16 = 5*d - 0*d, 0 = -3*b + n*d + 24. Solve -b*w + 20 = -2*v, 5*v - 2*w - 7 = -25 for v. -2 Let u be -1*((-210)/24 + ((-54)/24)/9). Solve -2*r - 15 = o - 24, 0 = -2*o + 5*r - u for o. 3 Let t = 1461 - 1461. Solve 13 = 2*c - b, -3*c - c + 3*b + 29 = t for c. 5 Suppose -3*p + 4 = 5*y, y - 4*p = 3 + 7. Let w(o) = 6*o + 5. Let n be w(-2). Let m be ((-108)/(-42))/((-1)/n). Solve -y*z - m = z - 5*h, h = -3*z for z. -1 Let m = -11237 - -11243. Solve m*j = 4*l + j - 21, 5*j = -4*l - 29 for l. -1 Suppose 2*h = 2751 - 2747. Solve y = -0*y + 4*o + 9, h*y = 2*o + 12 for y. 5 Let s(n) = -5 - 3*n - 12 + 1. Let z be s(-6). Let v(u) = u**2 - u + 17. Let o be v(0). Solve -w + 4 = 0, -f - z*w - o = 4*f for f. -5 Let b be (2/2)/((-3)/3). Let n(u) = 3*u**2 - 2*u - 1. Let f be n(b). Let c be 2 - 15 - -31 - 6. Solve 5*p - 11 = f*m + c, 0 = -p + 2*m + 7 for p. 3 Let h(n) = n**2 + 5*n - 89. Let u be h(11). Let o = 89 - u. Solve 2*k = 3*x - 13, 0*x - x = -o*k - 7 for x. 3 Suppose 261 = -18*l + 549. Solve c - 24 = -4*w, -11*w - 9 = 4*c - l*w for c. 4 Suppose -25*t + 13*t = -708. Let a = 63 - t. Solve -a*l + b + 12 = 0, 2*l - b - 2*b + 4 = 0 for l. 4 Let t = -2025 - -2035. Solve 2*x - w = t - 15, 0 = -4*x + w - 11 for x. -3 Let f = -53 - -55. Suppose -f*h - 517 + 98 = -5*d, 5*d + h - 428 = 0. Let b = -81 + d. Solve -5*r + 5 = 5*w, -r + 0*r = b*w - 10 for r. -2 Let h(y) = 2*y**2 + 22*y. Suppose 0 = -3*g - 25 - 8. Let q be h(g). Suppose 6*d - d - 10 = q. Solve -2*p + 3*w = d*p + 17, -p + 3*w = 11 for p. -2 Let u = 5366 - 5363. Solve 3*b - 4*b + u*i + 3 = 0, -b + 2*i = -2 for b. 0 Let t be (-26)/(-5) + 1 + 3/(-15). Suppose 0 = -i - 4*j + 12, -i - t*j = -8*j. Solve 4*m = -d - 16, 5*d = i*m + 27 + 13 for m. -5 Let d be (-46 - -2)/(10 + -12). Suppose 3*q + 5*r - d = 0, 3*q - 1 = 5*r + 1. Solve -4*n + 16 = y, 0 = y + q*y + n + 15 for y. -4 Suppose 14*y - 46*y = -224. Solve -5*p + u - y = 0, -p + 3*p = 5*u + 11 for p. -2 Suppose -374*r = -360*r - 196. Solve -o = -2*z + 1, -r*o + 11*o = -3*z for z. 1 Let f = -53 + 112. Suppose -18*k + 13 = -f. Suppose 0 = -k*q - 2*r + 16, -4*q - 4*r = -8*r - 4. Solve -2*h - 3*h - a + 24 = 0, -a - 16 = -q*h for h. 5 Let c(i) = 4*i**2 + 14*i - 41. Let x be c(2). Solve 2*y = -y, 3*y - x = 3*m for m. -1 Let q(x) = x**3 - 15*x**2 - 35*x + 37. Let y be q(17). Suppose -5*k = 2*h + 3*h - y, 5*k - 20 = 0. Solve 2*z - 4*z + 2*v + 4 = h, -3*z = -5*v - 10 for z. 0 Let z(b) = 4*b - 28. Let m be z(13). Let y = -22 + m. Suppose y*d - 2 = -r - 2*d, 10 = 5*r - 4*d. Solve -3*k + 0*k = 2*i - 1, 1 = -i - r*k for i. 5 Let p(s) = -s**3 + 4*s**2 + 6*s - 20. Suppose 31*d + 4*t - 8 = 30*d, -2*d = 2*t - 10. Let v be p(d). Solve -3*f + f + 10 = v*q, -f = -2*q - 5 for q. 0 Let v(k) = 2*k**3 + 109*k**2 + 157*k - 103. Let h be v(-53). Solve 10 = -2*g, -4 = 4*l + h*g - 9 for l. 5 Suppose 3058*x - 3068*x + 90 = 0. Solve -a - x = -4*c + c, -2*c = -4*a + 14 for a. 6 Let w(s) = s**2 + 12*s + 15. Let f be w(-11). Suppose t = -16*b + 18*b, -18 = -4*b - t. Solve -b*m - 7 = 2*u, 2*u + u = -f*m - 10 for u. -2 Suppose 40 = 17*o - 45. Suppose 0 = x - 5*c - 60 + 40, 0 = -o*x + 4*c + 37. Solve 0 = 2*p + 2*d + 2 - 0, -3*p + 37 = -x*d for p. 4 Let z(x) = -29*x**3 + 20*x + 19. Let g be z(-1). Solve w - 13*n = -8*n - g, w - 2 = -n for w. -3 Suppose -2*m = 2*j - 16, 31*j - 33*j + 19 = 3*m. Solve -x = -2*a + j, 17*a - 12*a = x + 20 for a. 5 Suppose 5*v = 775*f - 770*f - 10, -2*f + 9 = 3*v. Solve 0 = -5*g - 5*m, -4*g + 2*m + 15 = f*m for g. 5 Let n(b) = -4*b**2 - 5*b + 0*b + 3 + 2*b**2. Let q be n(-4). Let t(i) = i**2 + 6*i - 21. Let d be t(q). Solve 2*j + 2 + 4 = 2*m, -d = -2*m + 3*j for m. 3 Let s(t) = -t**3 + 14*t**2 + 11*t + 54. Let o be s(15). Let n be 0 + 3 - (8 - (-42)/o). Solve 2*a + 5*i = -0*a - 26, -n*a + 5*i + 14 = 0 for a. -3 Let t(c) = 2*c**2 - 726*c + 1457. Let f be t(2). Solve -14 = 4*x - 3*v, 20*x - 17*x - v = -f for x. -5 Let c = 136 - 124. Suppose -5*w - 4*d + 12 = 0, -w + c = 5*d - 3. Solve -3*m = 2*r + m - 16, w = -3*r + 2*m for r. 2 Let v(m) be the first derivative of 5*m**2/2 + 30*m - 82. Let l be v(-3). Solve -5*n + 5 = c, -7*c + l = -4*c - 2*n for c. 5 Let q(x) = 15*x - 344. Let a(u) = -8*u + 173. Let o(v) = 5*a(v) + 2*q(v). Let k be o(16). Solve -4*d + 5*j - 6 = 0, k - 1 = -3*d - 2*j for d. -4 Let g = 3790 + -3780. Solve -y + 6*y - g = m, 3*m - 4*y = 3 for m. 5 Let z be (-5)/(-30)*-3*4*-2. Suppose 5 = p + z. Solve p = -3*b + 5*a - 3, 5*b - 4*a + 11 = 0 for b. -3 Suppose 31*l = 39*l + 3024. Let v = l + 381. Solve 3*a - v*g = 6 - 0, 0 = -3*a + 2*g + 5 for a. 1 Let u(t) = 38*t + 610. Let k be u(-16). Suppose 5*d = 5*l + 15, -3*l = -k*d + d + 3. Let s = -2 - -5. Solve -x + 17 = -4*z + 4, -3*z = -d*x + s for z. -4 Suppose -8*n - 57 + 177 = 0. Let a = -3 - -5. Suppose 41*h = 38*h + 6. Solve h*d = -a*d - 3*m + n, 5 = -d + m for d. 0 Let v(f) = f**2 + 16*f - 17. Let c(g) = -9*g - 53. Let h be c(-4). Let i be v(h). Solve 5*n - 25 = i, 0*n + 9 = 2*m + 3*n for m. -3 Let s(o) = 6*o. Let a(l) = -l**3 - 3*l**2 - l + 2. Let f be a(-2). Let g be s(f). Solve -2*d - 3*k - 4 + g = 0, 0 = -2*d + 4*k - 4 for d. -2 Let w = -346 - -351. Suppose 3*o + i = 10, o + 0*i = w*i + 30. Suppose 12 = 4*z + 4*t, 0 = 5*z - 2*t - 1. Solve 4*x - z = -4*l - 9, o*l = -x - 2 for x. -2 Let p = 203 - 143. Let y = 57 - p. Let k be ((-4)/8)/(y/30). Solve -3*t - 5*o - 11 = -0*t, 17 = -t - k*o for t. 3 Let n(c) = -c**3 + 16*c**2 - 12*c - 15. Let d be n(15). Suppose 3*y - d = -2*p - 12, 2*p - 3*y = 18. Solve -5*w - p = 3*l + 11, -2*w - 8 = -4*l for w. -4 Let c be -4*((-318)/360 - (-8)/60). Suppose 0*u - 26 = -5*l + 4*u, c*l + u = 2. Solve 5*x = -5*k - 20, -2*x + 0*k = -l*k + 8 for x. -4 Let h = -666 - -694. Let n(l) = -3*l + 5. Let w(p) = -5*p + 9. Let j(f) = -7*n(f) + 4*w(f). Let x be j(3). Solve x*u + h = -3*m, 5*m = -5*u - 31 - 9 for u. -4 Let o = -12236 - -12248. Solve -3*z + 11*i - 6*i - o = 0, 0 = 3*z - i + 12 for z. -4 Let o be 36/(-27)*222/4. Let y be o/(-26) - 2/(-13). Solve -5*a = 2*g - 5 - 2, y*a = 3 for g. 1 Suppose 1 + 12 = 7*m - 15. Solve -m*y = -2*p - 10, 0 = -p + 6 - 5 for y. 3 Let d be -1 + 3 + -4 - -2. Let o be (12/(-30))/(d + 2/10). Let q be (o - (-10)/6)*(-1 - 5). Solve 0 = j + 4*j + 5*y + 15, q*j = -y - 3 for j. 0 Suppose -4*k + 9*k + v - 153 = 0, -5*v = -2*k + 45. Let t be -25*(-3)/k*4. Solve -3*i + z - 6*z = 25,
{ "pile_set_name": "DM Mathematics" }
hest common divisor of d and q. 1 Suppose 0 = 2*z + 2*h + 147 + 115, -4*h = -2*z - 262. Let l = z + 239. What is the greatest common divisor of 24 and l? 12 Let i be (-909)/(-15) - (0 - (-18)/30). Let o be 1/2 + 895/10. Calculate the greatest common factor of i and o. 30 Let i = -840 - -858. Calculate the greatest common divisor of i and 774. 18 Suppose 9*u - 14 = -5*u. Let j = 5 - 1. Suppose -2*t = -t + 4*m + 4, -j*t + 3*m + 22 = 0. What is the greatest common divisor of t and u? 1 Suppose -4 = -o - 0. Suppose -4*p = -o - 24. Suppose -5*d = 0, p*s - 2*s = d + 90. What is the highest common divisor of s and 126? 18 Suppose 5*c = 4*y - 1771 + 97, -5*y + 2*c = -2084. Calculate the highest common divisor of y and 8. 8 Let m = 69 - 132. Let o be ((-12)/(-4) - 6)*m. Let n = 27 - 6. What is the greatest common divisor of n and o? 21 Suppose -t + 2 = 0, 177 + 1046 = 5*l - t. What is the highest common divisor of 49 and l? 49 Suppose 3*v = 5*v. Let u(r) = -80*r - 78. Let q be u(-1). Suppose a + 17 = 5*p - v*p, -q = p - 2*a. What is the highest common factor of 28 and p? 4 Suppose 5*g + 68 = 5*p + 168, -2*g - p + 49 = 0. Calculate the greatest common factor of 92 and g. 23 Let a(w) be the first derivative of 43*w**3/3 - w**2/2 + 1. Let p be a(-1). Let m = 10 + 1. What is the greatest common factor of m and p? 11 Suppose -4*z + 4294 = 4*m + m, 4287 = 5*m - 3*z. What is the greatest common divisor of m and 234? 78 Let m = 12 - 5. Let z(y) = -3*y - 20. Let d be z(-9). Let i be d/(((-6)/33)/(-2)). What is the highest common divisor of m and i? 7 Let h be (-9*(-4)/(-16))/(1/(-12)). What is the highest common divisor of 18 and h? 9 Suppose 570 = 5*f - 540. Calculate the greatest common factor of 592 and f. 74 Let a = -5 + 5. Let q be (-3 + a)/((-33)/77). Calculate the highest common divisor of 63 and q. 7 Let w be 2*117/12*4/3. Suppose 2*y - w = y. Calculate the highest common divisor of y and 2. 2 Suppose 192 = -29*z + 33*z. Calculate the greatest common divisor of 48 and z. 48 Let s = -1550 + 1589. Calculate the greatest common factor of s and 3. 3 Let m(x) = x**3 + 16*x**2 + 24*x - 44. Let s be m(-14). Calculate the highest common factor of 108 and s. 12 Suppose 0*d + 1288 = 4*d. Suppose -17*o - 23*o = -1840. Calculate the greatest common factor of o and d. 46 Suppose -4*u + 0*u + 92 = 0. Suppose -6 = -0*d - 2*d. Suppose 5*r = -2*t - 3*t + 225, -d*r - t = -137. What is the highest common divisor of u and r? 23 Let z(n) = 6*n**3 + 35*n**2 - 9*n + 4. Let w be z(-6). What is the greatest common divisor of 946 and w? 22 Let w = -399 - -421. Calculate the highest common factor of 2 and w. 2 Suppose -3*d + 4*n = -32, -9 = 2*d - 3*n - 32. Suppose -2*c + 4*c = 16. What is the greatest common divisor of c and d? 4 Suppose 2*d - 3*d + 48 = 2*k, -5*k + 2*d + 120 = 0. What is the highest common divisor of 312 and k? 24 Let a be (1 + -13)/(692/(-519)). Suppose 0 = -3*j - 0*j + 135. Calculate the highest common factor of a and j. 9 Let w(r) = -2*r**3 - 9*r**2 - 10*r - 8. Let h be w(-6). What is the greatest common divisor of h and 100? 20 Let o = 14 + -2. Let w(a) = a**3 + a**2 + 2*a - 4. Let v = 13 + -9. Let u be w(v). What is the highest common factor of o and u? 12 Let u(o) = 2*o**2 + 5*o + 6. Let d be u(-2). Let a be 131 - -15*d/(-12). What is the highest common divisor of a and 18? 18 Let v(x) = 76*x + 11. Let u be v(13). Calculate the greatest common divisor of 27 and u. 27 Let g(o) = -o**3 + 13*o**2 + 38*o + 48. Let z be g(15). Calculate the greatest common divisor of 105 and z. 21 Let g = -347 - -875. What is the highest common factor of 96 and g? 48 Let j = 93 - 64. Suppose -7*u = -36 + j. Let t be (8/3)/((-3)/(-9)). What is the highest common factor of u and t? 1 Let m(r) = -3*r + 10. Let o be m(-8). Let p be o - 4/((-8)/6). Let w = p + -6. What is the greatest common factor of w and 31? 31 Let s be 1*(0 - 282) - (3 + -1). Let k be s/(-18) - (-14)/63. What is the greatest common divisor of k and 64? 16 Let d = -18 - -14. Let j(y) = y**3 - y**2 + y + 5. Let c be j(0). Let t = c + d. What is the greatest common factor of 7 and t? 1 Suppose 3 = -4*v - 61. Let l(t) = t**2 + 8*t - 7. Let z be l(v). Let c = 29 + -18. Calculate the greatest common factor of z and c. 11 Let h(u) = 10*u + 11. Let g be h(8). Suppose 3*y = y + 14. What is the greatest common factor of g and y? 7 Suppose 40 = 4*j + j. Let g(f) = 2*f + 0*f**2 - j*f**2 - f**2 + 8*f**2 + 9. Let r be g(4). Calculate the highest common divisor of r and 1. 1 Suppose -2*w - 30 = 3*w. Let j be (w/9 - -1)*12. Let n be 14*j/16*38. What is the highest common factor of n and 19? 19 Let w(c) = -c**3 + 5*c**2 + 5*c - 22. Let r be w(5). Suppose r*u - 4*p - 68 = 0, -2*p - p + 94 = 5*u. What is the greatest common factor of u and 50? 10 Let s = 220 + -93. Let t = s - -28. Calculate the greatest common factor of t and 31. 31 Suppose -f + 35 = t, f + 175 = 6*f + 4*t. Suppose -g + 28 = g. Calculate the highest common divisor of g and f. 7 Let x(i) be the first derivative of i**3/3 + 9*i**2/2 + 14*i + 48. Let j be x(-11). What is the greatest common factor of j and 108? 36 Let n(c) = 16*c + 6. Let f be n(5). Suppose 0 = -2*p + 6*t - t + 61, 0 = -p + 4*t + 23. What is the greatest common factor of p and f? 43 Suppose 3*p - 1 + 4 = 0. Let g(q) = -81*q**3 - q - 1. Let i be g(p). What is the greatest common divisor of i and 9? 9 Let p = -282 - -630. Calculate the greatest common factor of p and 24. 12 Let z = 692 + -305. Calculate the highest common divisor of 43 and z. 43 Suppose 15 + 7 = 2*m. Calculate the greatest common factor of 517 and m. 11 Let q(n) = -n**3 - 12*n**2 + 14*n + 16. Let r be q(-13). Let w be 2*((r - -1) + 5). Calculate the highest common divisor of w and 12. 6 Suppose 5*b - 3 = 2. Let w be ((3 - b) + 0)*11. Suppose -2*i + 6*r = 2*r - 324, 5*r = -20. What is the greatest common divisor of i and w? 22 Let l(m) = 3*m**2 - 6*m + 1. Let v(g) = 9*g - 51. Let a be v(6). Let w be l(a). What is the highest common divisor of w and 2? 2 Suppose -2*z - 140*i = -143*i - 52, -4*z - 4*i = -64. What is the greatest common factor of 65 and z? 5 Suppose -4*w - 449 = -i, -2*i - 3*w + 843 = -0*i. Calculate the greatest common factor of 39 and i. 39 Let f(t) = -2*t - 2. Let d be f(-4). Let z = 5 + d. Calculate the highest common divisor of 11 and z. 11 Let b(v) = 2*v**3 + 101*v**2 - 54*v - 69. Let h be b(-51). Let o be 6/(-21) + 298/14. Calculate the greatest common divisor of o and h. 21 Suppose 0 = -g - 0 + 8. Let l = -185 + 189. Let f be 528/99*6/l. Calculate the greatest common divisor of g and f. 8 Let c(y) = -11*y - 93. Let s be c(-11). What is the greatest common factor of s and 952? 28 Let r(l) = -l**3 + 9*l**2 - 7*l + 127. Let a be r(8). Calculate the greatest common factor of 30 and a. 15 Let j be (-2)/14*3 + 2862/63. What is the highest common factor of 135 and j? 45 Let s = -11 + 18. Let w(f) = -f**3 + f**2 + 12. Let t be w(0). Let d be (3/4)/(12/32) + t. What is the highest common divisor of d and s? 7 Let b be (-4 - (1 - 4)) + 113. Suppose -b - 116 = -2*d + 3*y, -5*y - 236 = -2*d. What is the highest common factor of d and 12? 12 Let h = 36 - 58. Let l = h - -25. Calculate the greatest common factor of l and 15. 3 Let m be ((-4)/(-6))/(35/210). What is the greatest common factor of 100 and m? 4 Suppose -13*y = 31 + 34. Let m be (-384)/y + (-8)/(-40). What is the highest common factor of m and 7? 7 Suppose 513 = -8*r - 47. Let g be (3*(-2)/(-9))/(r/(-945)). What is the greatest common divisor of g and 36? 9 Let q(r) = -2*r**2 + 12*r - 4. Let z be q(7). Let a be z/(-24) + (-634)/(-8). What is the greatest common divisor of 16 and a? 16 Let m be (161/(-21))/((-4)/12). Suppose -m = -2*k + 5*o, -4*o - 76 = -k - 3*k. Let p = -478 + 670. What is the highest common factor of p and k? 24 Suppose -4*s + 37 = 5. Suppose 10*q - 9*q = s. Calculate the highest common factor of 4 and q. 4 Suppose 5*c - 5 = 10. Suppose -c*k + 2*k + 32 = 0. Suppose 5*n - 958 = k. Calculate the highest common factor of 22 and n. 22 Suppose 2*b = -3*h - b - 12, 50 = -5*h + b. Let q = 16 + h. Suppose -2*u = -q - 5. Calculate the highest common divisor of u and 24. 6 Suppose -15 + 33 = -9*b. Suppose 3*z = 4*z - 8. Let c be (-4)/(-3)*(b + z). What
{ "pile_set_name": "DM Mathematics" }
2 - 2 Let k = -212 - -214. Let s(o) = 2 + 8*o**k + 4 - 6. Let b(m) = 20*m - m**2 - 6*m - 14*m. Calculate b(s(l)). -64*l**4 Let m(l) = 6527518*l. Let y(u) = u**2. Determine m(y(b)). 6527518*b**2 Let m(u) = 16026551*u. Let y(s) = 4*s. Determine y(m(x)). 64106204*x Let b(a) = a. Let p(x) be the third derivative of -55*x**2 - 5/6*x**3 + 0 - 1/12*x**4 + 0*x. Determine b(p(n)). -2*n - 5 Let a(p) = p**2. Let t(s) be the third derivative of -1/12*s**4 + 0*s**3 - 102*s**2 + 0*s + 0. Calculate a(t(u)). 4*u**2 Let b(d) = d**2. Let y(n) = -52568841*n**2 - 2*n - 6. Calculate y(b(k)). -52568841*k**4 - 2*k**2 - 6 Let l(g) be the second derivative of -488*g**3 - 2*g + 1281. Let k(t) = -2*t**2. Give l(k(i)). 5856*i**2 Let f(q) = -90727*q**2 - 24*q + 4. Let r(s) = -s**2. Give f(r(b)). -90727*b**4 + 24*b**2 + 4 Let o(w) be the second derivative of 8*w**4/3 + 5*w - 159. Let s(p) = 32*p. What is s(o(r))? 1024*r**2 Let x(c) = c**2. Let t(w) be the first derivative of 0*w**2 + 5/3*w**3 - 3*w + 139. Determine t(x(g)). 5*g**4 - 3 Let p(w) = -46*w**2. Let k(r) = 224*r**2 - 66. Calculate k(p(c)). 473984*c**4 - 66 Suppose -1298*y = -1303*y + 30. Let i(v) = y - 9696*v - 3 + 9694*v - 3. Let m(q) = 9*q**2. What is m(i(r))? 36*r**2 Let p(c) = -2002989*c. Let q(v) = 22*v. Calculate p(q(u)). -44065758*u Let q(c) = 44*c. Let n(r) = -89*r**2 + 9443. Calculate q(n(v)). -3916*v**2 + 415492 Let r(k) = 3*k**2 - 3*k**2 - k**2. Let h(z) = 54*z + 15. Let d(f) = -172*f - 48. Let g(w) = -5*d(w) - 16*h(w). Determine g(r(i)). 4*i**2 Let x(g) = -g. Let v(q) = 119*q + 38822. Let k(c) = 33*c + 11092. Let l(i) = 18*k(i) - 5*v(i). Give x(l(w)). w - 5546 Let c(i) be the first derivative of -13*i**5/40 - i**4/24 - 16*i**3/3 + 91. Let b(y) be the third derivative of c(y). Let l(m) = m. What is l(b(k))? -39*k - 1 Let p(x) = 4*x**2 - 219667*x. Let o(t) = 4*t + 20. Give p(o(m)). 64*m**2 - 878028*m - 4391740 Let u(q) = -460*q**2. Let i(a) = -60*a**2 + 35*a + 70. Let p(m) = 5*m**2 - 3*m - 6. Let y(d) = 6*i(d) + 70*p(d). What is y(u(t))? -2116000*t**4 Let t(r) = -61*r - 19*r + r - 156*r - 22*r. Let j(v) = -16*v. What is j(t(w))? 4112*w Let p(v) be the first derivative of 0*v + 13/2*v**2 + 41. Let u(j) = -11*j**2. What is p(u(t))? -143*t**2 Let a(h) be the second derivative of -h**6/60 - 7*h**3 - h + 1. Let s(y) be the second derivative of a(y). Let k(v) = -5*v. Give k(s(x)). 30*x**2 Let c(q) = -107940907*q. Let t(v) = 3*v. Determine t(c(h)). -323822721*h Let g(l) = -258*l - 261*l - 261*l + 778*l. Let a(s) = -2*s**2 + 33*s - 2. Give a(g(y)). -8*y**2 - 66*y - 2 Let u(i) = -11*i. Let f(m) = 364433*m**2 - 2. Determine f(u(a)). 44096393*a**2 - 2 Let z(l) = 2*l. Let f(u) be the first derivative of 308/3*u**3 + 0*u - 75 + 0*u**2. Give f(z(c)). 1232*c**2 Let d(k) = 14055*k**2 - 196*k. Let g(r) = 5*r**2. Give d(g(y)). 351375*y**4 - 980*y**2 Let w(a) = -7*a + 40*a - 15*a - 15*a. Let i(u) be the third derivative of u**5/60 + 14*u**2. Determine w(i(r)). 3*r**2 Let x(p) = -81*p. Let u(c) = -3*c**2 - 71160. Determine x(u(a)). 243*a**2 + 5763960 Let u(n) = 3*n**2. Suppose -g - 2 = -10. Let c(a) = 2*a - 3. Let x(p) = 4. Let z(i) = g*c(i) + 6*x(i). Determine z(u(b)). 48*b**2 Let m(q) = 17 - 17 - 12*q**2. Let f(v) = -2*v. Let h be (-8)/(-12)*36/8. Let y(k) = -k. Let u(b) = h*y(b) - f(b). What is m(u(r))? -12*r**2 Let q(i) = 3*i + 97. Let j(z) = 2408167*z. Calculate j(q(s)). 7224501*s + 233592199 Let h(d) = -890506*d. Let j(p) = -94*p. Give h(j(q)). 83707564*q Let v(k) = 2*k + 288. Let h(u) = 2*u**2 - 501*u - 4. Give h(v(r)). 8*r**2 + 1302*r + 21596 Let p(l) = l. Let g(d) = 29*d**2 - 2*d + 84. Let u(k) = -930*k**2 + 65*k - 2680. Let h(a) = -65*g(a) - 2*u(a). What is p(h(o))? -25*o**2 - 100 Let f be (2/(-6))/((-2)/1458). Let g(p) = 243 - 21*p**2 - f. Let t(r) = 2*r**2. Give t(g(l)). 882*l**4 Let s(a) = 4*a - 3. Let k(t) = -t**2 + 13*t - 9. Let c be k(3). Let b(q) = -6*q**2 - 9*q**2 - 7*q**2 + c*q**2. Give s(b(f)). -4*f**2 - 3 Let l(k) = 10*k. Let t(w) be the third derivative of -w**5/10 - 113*w**3/3 + 68*w**2 - 2. Let z(o) be the first derivative of t(o). What is l(z(p))? -120*p Let z(s) be the first derivative of 2*s**3/3 + 782. Let g(f) = -51*f**2 - 4*f. Give g(z(j)). -204*j**4 - 8*j**2 Let k(o) = 2*o. Let u(b) = -9365579*b. Give k(u(h)). -18731158*h Let f(x) = -9*x. Let h(w) = 55956*w**2 - 2*w - 245. Determine h(f(i)). 4532436*i**2 + 18*i - 245 Let o(y) = -375*y + 136*y + 117*y + 133*y. Let p(f) be the third derivative of 2*f**4/3 - f**2. What is o(p(k))? 176*k Let v(y) be the first derivative of -2*y**3 - 1. Let n(i) be the second derivative of -11*i**3/2 + 53*i - 6. Give n(v(l)). 198*l**2 Let m(t) = -15*t**2 + 2 - 3 + 7*t**2. Let g(r) be the first derivative of -r**2 + 156672. What is g(m(d))? 16*d**2 + 2 Let q(o) = 0 + 0 - o. Let i(l) = -91*l**2 - 85*l**2 - 37 + 17 - 10 + 174*l**2 - 4. Determine q(i(r)). 2*r**2 + 34 Let w(l) = 239*l**2 + 1411. Let z(b) = -6*b**2. What is w(z(q))? 8604*q**4 + 1411 Suppose -2*b + 5*w + 788 = w, 0 = -2*b + 2*w + 778. Let m(p) = -b*p + 192*p + 191*p. Let v(j) = -j**2 + 22. What is m(v(d))? d**2 - 22 Let b(g) = -30*g**2 + 2. Let t(m) = 2*m + 2200276 - 2200276. Calculate t(b(i)). -60*i**2 + 4 Let k(d) = -18355 + 9176 + 1044*d**2 + 9179. Let s(h) = 6*h**2. Calculate s(k(t)). 6539616*t**4 Let f(s) = s**2. Suppose 6*j - 823 = -2659. Let u(z) = -z + 6. Let m(h) = 51*h - 918. Let n(k) = j*u(k) - 2*m(k). Determine n(f(w)). 204*w**2 Suppose 12*q + 17*q - 5*q = 0. Let h(c) be the first derivative of q*c**2 + 13 + 0*c - 4/3*c**3. Let s(f) = 2*f. Determine s(h(i)). -8*i**2 Let s(p) = 4645*p. Let k(l) = -l + 12588 - 12588. Calculate k(s(f)). -4645*f Let j(b) = 21*b. Suppose 23*c - 146 = -54. Let k(w) = 2*w + 3*w - 2*w + 4 - c. Calculate j(k(i)). 63*i Let v(g) = 11*g. Let x(l) be the second derivative of 49*l**3/2 + 1654*l. Give v(x(t)). 1617*t Let q(t) be the first derivative of -t**4/6 - 5*t + 13. Let i(r) be the first derivative of q(r). Let w(s) = 5*s + 5*s - 15*s + 3*s. What is w(i(x))? 4*x**2 Let t(r) = 2*r. Let f(g) = 2*g + 11. Let p(x) = 7*x + 54. Let k(b) = -3*f(b) + p(b). Determine k(t(n)). 2*n + 21 Let j = 155 - 151. Let b(c) = -27*c. Let p = -7 + 8. Let i(w) = -w. Let s(z) = j*i(z) + p*b(z). Let m(v) = -v**2. What is s(m(l))? 31*l**2 Let f(n) be the first derivative of -n**3/3 + 2722. Let g(q) = 756*q. What is f(g(u))? -571536*u**2 Let p(y) = 64*y**2. Let i(j) = -5*j**2 - 54*j**2 - 6*j**2 + 68*j**2. Calculate i(p(b)). 12288*b**4 Let o(r) = -237455*r. Let l(y) = 88*y. Calculate l(o(j)). -20896040*j Let h(x) = -593*x**2 + 1. Let w(r) = -12520*r**2 + 6265*r**2 + 6259*r**2. Determine h(w(p)). -9488*p**4 + 1 Let w(t) = -37*t + 38. Let x(b) = -45*b + 43. Let l(a) = 6*w(a) - 5*x(a). Let o(i) = -3*i + 2*i + 3*i. Calculate o(l(g)). 6*g + 26 Let w(l) = -751508*l. Let g(v) = v**2. What is g(w(f))? 564764274064*f**2 Let m(w) be the second derivative of 13*w**3/6 + w**2 + 224*w - 3. Let b(n) = -276*n**2. What is m(b(i))? -3588*i**2 + 2 Let p(z) be the first derivative of 19*z**2 + 1. Let w(q) = -7*q + 14. Let s(y) = -25*y + 42. Let i(m) = s(m) - 3*w(m). Give p(i(u)). -152*u Let d(x) be the first derivative of 0*x + 0*x**2 + 2 + 4/3*x**3. Let v(j) = -653*j + 166*j + 162*j + 157*j + 165*j. Determine v(d(h)). -12*h**2 Let n(i) = 15*i**2 + 4*i. Let d(r) be the second derivative of -r**6/180 - 25*r**3/2 + 22*r + 3. Let x(w) be the second derivative of d(w). Give x(n(b)). -450*b**4 - 240*b**3 - 32*b**2 Let k(h) be the first derivative of 2*h**3/3 + 1. Let u(j) = -4*j**2 - 40*j - 16. Let l be u(-9). Let b(g) = 24 + l - 44 - 9*g + g. Give b(k(a)). -16*a**2 Let l(q) = -53695*q - 53362*q + 107350*q. Let f(z) = -30*z - 31*z + 60*z. Determine f(l(m)). -293*m Let a(d) = 21*d. Let q(c) = -25931*c**2. Give q(a(z)). -11435571*z**2 Let j be ((-160)/432)/((-44)/99). Let s(f) be the second derivative of 0*f**2 - 21*f + 0 - j*f**3. Let w(g) = -4*g**2. Give s(w(d)). 20*d**2 Let h(j) = 2190514*j. Let l(a) = -5*a. Calculate l(h(w)). -10952570*w Let u(f) = 232*f + 641*f + 32*f - 28*f + 273*f. Let p(c) = 6*c**2. Determine p(u(m)). 7935000*m**2 Let x(s) = -220*s**2 + 88. Let l(z) = 49*z**2 - 20. Let v(m) = -22*l(m) - 5*x(m). Let j(n) = -65*n. Give v(j(a)). 92950*a**2 Let m(p) = -2*p**2 - 2500. Let a(z) = 58895*z. Give m(a(
{ "pile_set_name": "DM Mathematics" }
et s(d) = -d**3 - d**2 + d + 4. Let r be s(v). Solve -r*a + 1 = 21 for a. -5 Let x = 35 + -30. Suppose 0 = j + 5*b + 13, 4*j + 10 = -x*b + 3. Solve -5 = -3*v + j*v for v. 5 Let l(v) = v**2 + 5*v - 22. Let g be l(-8). Solve g*u = u - 2 for u. -2 Let c be 1*-1 + -4 + 8. Let x(h) = h**2 - 7*h - 2. Let n be x(7). Let p be ((-12)/9)/(n/3). Solve -o - c = -p for o. -1 Let m(h) = h**3 - 4*h**2 + 5*h - 2. Let r be m(3). Suppose y + 6 = r*y. Suppose -12 = -p - y*p. Solve -p*k = -7*k - 9 for k. -3 Let z(m) = 11*m**3 + m - 1. Suppose 2*v + 3*v + 1 = 3*a, 0 = 4*v - a - 2. Let c be z(v). Solve -14 = 5*u + c for u. -5 Suppose -4*k - 1 = v, -7 = -5*v + k + 9. Solve -v*r = -0*r - 9 for r. 3 Let f(z) = z**2 - 2*z - 5. Let d be f(0). Let q(c) = -c**3 - 6*c**2 - 7*c - 6. Let h be q(d). Solve -3*v = -11 - h for v. 5 Suppose -3*n - 4 = 2*g + 1, -5*g + 2*n = -35. Solve -47*a = -42*a - g for a. 1 Suppose 0*k = -4*k + 16. Let u(g) = g**3 - g**2 + 4*g - 2. Let x be u(1). Solve -4 - k = -x*a for a. 4 Suppose 2*m = -4*l - 4, l = -m - 2*l - 5. Suppose 0 = -3*y + 110*y. Solve 3*s + s - m = y for s. 1 Let r be (14 + -17)/(3*(-2)/128). Suppose -4*q - 4*d + r = 0, 14 = -2*q + 3*d + 51. Solve -5*a - q = 8 for a. -5 Suppose 0 = -3*h + 17 + 1. Suppose -2*n = -h*n + 8. Let v = n - 0. Solve 0 = -v*x - x + 3 for x. 1 Let g(w) = -w**3 + 3*w**2 + 3*w - 3. Suppose -4*f = -0*f - 12. Let p be g(f). Solve p*o + 2 = 4*o for o. -1 Let u(l) = -10*l**2 + 12*l**2 - 6 - 7*l - 2*l**2 - l**2. Let s be u(-5). Solve 4 = s*b + 20 for b. -4 Let j be (-16)/12*21/(-2). Suppose 5*i - 9 - j = t, 0 = -3*i + 4*t + 7. Let n = 21 - 15. Solve -n + i = -u for u. 1 Let h = 17 - 17. Suppose 4*m - 3*m - 2 = h. Let c(s) = s**3 - 3*s**2 - s - 5. Let a be c(4). Solve a = -3*t - m for t. -3 Let w(y) = -4*y + 11. Let f be w(2). Solve -26 = f*b - 32 for b. 2 Suppose -4*d - d + 35 = 0. Let r = -5 - d. Let z = -10 - r. Solve -z + 1 = w for w. -1 Suppose 4*m + 3 = -3*u, 0 = 5*m + 40 - 25. Solve -u*h - 12 = -0 for h. -4 Let j = 34 + -32. Solve 3*o = j*o - 4 for o. -4 Let r = 85 + -74. Suppose 48 = s + r*s. Solve 3 = -s*j - 1 for j. -1 Let d be (4 - 1) + (1 - 2). Suppose x - 5 = 7. Let s = x + -10. Solve 0 = -a - d - s for a. -4 Suppose 28 = -1804*n + 1811*n. Solve 0 = n*x + 4*x + 24 for x. -3 Suppose -3*j + 0*j + 22 = u, -3*j = 3*u - 12. Suppose o - 3*o + j*o = 0. Solve o = 5*k + 3 - 13 for k. 2 Let b be -1*(8/24)/(2/(-138)). Suppose -b + 21 = -2*t. Let l(u) = -u**2 - 6*u + 2. Let q be l(-6). Solve 3*g - t = q*g for g. 1 Suppose 7*d + 180 = 13*d. Suppose -2 = -8*l + d. Solve l*x + 1 = -19 for x. -5 Let b(m) = 67*m - 376. Let s be b(8). Solve -s*d + 164*d = 20 for d. 5 Let v(u) be the first derivative of -6 + 1/3*u**3 + 6*u + 5/2*u**2. Let a be v(-5). Solve o - a = -o for o. 3 Let z = -273 + 281. Solve 3*d - z = -d for d. 2 Suppose -10 = 14*k - 9*k. Let a = k - -4. Suppose 2*q + q = 24. Solve a*f + 2 = -q for f. -5 Suppose 2*i + 2 = 6. Suppose -i*m - 3 + 9 = 0. Suppose -k = -5 + m. Solve -k = b + 3 for b. -5 Suppose 5*n - 3*w = -30, -n + 2*w - 20 + 7 = 0. Let b be (9 - -1 - -3) + n. Let x be -5*(-12)/b - 4. Solve z + 4 = x*z for z. 4 Let y(p) = p**3 + 5*p**2 - 27*p - 20. Let f be y(-8). Suppose -3*v + 9 = 3*w, 14 = f*v - 0*w + 5*w. Solve 4*l = 5 - v for l. 1 Let z be 1*(-3)/(-9)*0. Let c(b) = b - 6. Let i be c(z). Let p = i + 10. Solve -2 = -2*t + p for t. 3 Suppose 11 = 4*d + 3. Let i be 288/(-27) + 14 - (-4)/(-3). Solve -d*n = -n + i for n. -2 Let r be ((-4)/6)/((-10)/285). Suppose o - 1 = 5*k - k, 4*o - r = k. Suppose 0 = -t + 9 - o. Solve 0 = -3*i + t + 2 for i. 2 Suppose -n - 6*f = -f, 2*f + 27 = 5*n. Suppose -2*a = -5*p - 21 - 8, -n*a + 3*p = -25. Solve -a = -4*m - 10 for m. -2 Let r(g) = g**2 - 9*g - 34. Let s be r(13). Solve 17*j - s*j = 1 for j. -1 Let k = 69 + -66. Suppose -5*i = -2*f + f - 15, 9 = k*i + f. Solve 0 = u + 2*u - i for u. 1 Let h(i) = -i**2 + 8*i - 3. Let m be h(3). Let f(s) = -s**3 + 11*s**2 + 12*s. Let k be f(m). Solve 0 = -k*j + 2*j - 10 for j. 5 Let o be (17 - 14)/(15/140). Let p be ((45/(-3))/3)/(-1). Solve -p*d = o - 8 for d. -4 Suppose -10*o + 188 = -632. Suppose 3*v - v = 5*s - 102, -4*s = -2*v - o. Solve 2*n - s = -2*n for n. 5 Let c(n) = n**3 + 8*n**2 - 18*n + 20. Let v be c(-10). Solve 4*b - 16 = -v*b for b. 4 Suppose 12 = -2*t - 26. Suppose 3*f + 73 = -5*b, 2*f = 3*b - f + 63. Let z = b - t. Solve 2*y - z = 8 for y. 5 Suppose 53*t + 2798 = 18539. Solve -3*g + 303 = t for g. 2 Suppose 2*v = -3*k, -3*k - 5*v = -4*k. Let h = 400 + -398. Solve -y + h*y = k for y. 0 Let i(o) = 5*o + 60. Let k be i(-13). Let w(n) = -n**3 - 6*n**2 - 4*n + 8. Let r be w(k). Solve -10 = r*f - 5*f for f. 5 Let t be 2 + 0 + -1 + 1. Let d = -108 + 109. Solve -u + d = -t*u for u. -1 Suppose -g = 1, 0*f - 5*g = -f + 5. Solve -6*w + f*w = 30 for w. -5 Suppose -3*z = -48 + 27. Solve 3 = -z*i + 24 for i. 3 Let d be ((-22)/6)/((-5)/15). Suppose -4*p = -r + 3*r - 2, -r - d = -4*p. Solve p*o - 2 = -4 for o. -1 Let r(w) = w**2 - 8*w + 15. Let a be r(6). Suppose 2*c + 4*f + f = 18, f = c - 2. Solve -c*h = -h + a for h. -1 Let t be 1*(-3 - -3)/(-6). Solve t*m - 1 = m for m. -1 Let z(c) be the first derivative of c**4/4 - 6*c**3 - 9*c**2 - 18*c + 50. Let f be z(19). Solve -t - f = 1 for t. -2 Let d = 328 - 323. Solve -2*s + 9 = -d*s for s. -3 Let s = 2 + 3. Suppose -s*i - 34 = 6. Let m be (-7)/(-21) + i/(-3). Solve -6 = -0*c - m*c for c. 2 Let i be -3 + (-4 - -6) + 1. Solve -5*l + 2 + 3 = i for l. 1 Suppose -3 - 2 = 5*z. Let y = 1 - z. Suppose -17*h = -4*h + 6*h. Solve -g + 1 + y = h for g. 3 Let h(v) = 5*v + 12. Let g be h(-2). Suppose -g*u + j = -4, -3*j = 5*u - 8*j. Solve -2*r + u = 2*r for r. 1 Let y = 43 + -41. Let s be y/3 + 7/(42/20). Let a be -2*((-30)/4 - 0). Solve s*w = -w + a for w. 3 Suppose -3*a = -u - 6, -10*a + 6*a = 5*u - 27. Solve w = 8 - u for w. 5 Let z(l) = l**2 - 2*l + 7. Let t be z(2). Solve 11*s + 29 - t = 0 for s. -2 Let d = -276 + 276. Let u = -2 - -3. Solve 0 = -d*s - s + u for s. 1 Let d be (0/(-3))/(-4 + 2). Let c(t) = -t**2 + t + 0 + 5 + 0. Let k be c(d). Solve 5*f - 5 = k for f. 2 Let l = -18 - -34. Suppose -r - 11*f - 19 = -8*f, 0 = -4*r - 2*f - 56. Let x = l + r. Solve 2*q - 5 = -x*q for q. 1 Suppose 2*d - 2*u = 130, 2*d = -0*u - 4*u + 118. Suppose -4*z + 1 = -11. Suppose -z*l - d = -6*l. Solve -3*o = l - 6 for o. -5 Let g = 72 + -59. Solve 2 = 5*d - g for d. 3 Suppose -2*y - 4 = 0, -3*y + 0 - 8 = -q. Let s(a) = 13*a + 2*a**3 + 4*a**2 - 17*a - 6*a**2 + 4. Let l be s(q). Solve t = -t + l for t. 2 Let t = 1233 + -1232. Let s be ((-2)/5)/((-3)/(-30)). Let h = s + 5. Solve p + h = -t for p. -2 Let h(f) = 3*f**2 + 8*f - 7. Let v be h(-5). Solve 0*d = -7*d + v for d. 4 Let j be (-15)/9 - (-684)/54. Solve 8*m - j*m = -12 for m. 4 Let l = 3 - -3. Solve -8*f + 6*f + l = 0 for f. 3 Let t be 4/10 + 190/25. Let f be t/(-28) + (-44)/(-7). Solve u = -u - f for u. -3 Let y(q) = 7*q - 80. Let r be y(12). Solve r*f + 10 = 2 for f. -2 Let s be (-4224)/(-220) + -3*(-4)/(-10). Solve -15*q - s = -3 for q. -1 Let l be (3 + -7)*9/2 + -1. Let x = l - -19. Solve 2*h + 3*h = x for h. 0 Let s be (0/(5/5))/3. Solve -6*m + 5 + 25 = s for m. 5 Let v be 9/6 - 105/(-14). Suppose 8*s = 5*s + v. Solve s = -z - 0 for z. -3 Let z be (-13)/(-4) + 1 + 45/(-36). Solve -3*g - 24 = z*g for g. -4 Let x be 18/4*4/(-6) + -4. Let k = 1 - x. Solve -a - k = a for a. -4 Let n be 11*1/(-3)*3. Let j = n + 13. Suppose -2*g + 5*g = -4*q + 27, 3*q - 19 = -j*g. Solve 1 = g*z + 6 for z. -1 Let p be 56/2 - (0 + -2) - 5. Solve 102*w - 107*w + p = 0 for w. 5 Suppose -18 - 2 = -20*t. Solve -7*n = -t + 8 for n. -1 Let y be 1/(-2) + 22/4. Suppose -y*b + 50 = -0*n + 5*n, -5*n = -15. Let q = 8 - b. Solve q = -z + 4 for z. 3 Suppose 3*j + 120 = 15*j. Suppose 2*x + 3 - j = -5*w, -5*w = -5. Solve -3 + x = -2*m for m. 1 Let z be ((-6)/(-9))/(4/18). Suppose -4*g + 3 = -3*n, -6*g = z*n - 2*g - 21. Suppose -o = -n*o. Solve -2*l + 5 - 3 = o for l. 1 Let u be 14 + -9 + (2 + -1 - 4). Solve -u*n - 2 = 8 for n. -5 Suppose 2*m - 4*m = 0. Let q(v) = 3*v - v - 6 + m*v. Let d be q(3). Solve d = s - 5*s - 4 for s. -1 Suppose -3 = 3*j, 4*h - j + 2*j = 7. Suppose -2*k = 4*o - 132 + 84, -3*k + 4*o + 62 = 0. Solve -5*s = -k + h for s. 4 Let f = 25 - 17. Suppose -4*w + f =
{ "pile_set_name": "DM Mathematics" }
form o*y**2 + w*y + i and give w. -2120 Rearrange 2 + 363900*o - 892740*o - 2 + 433657*o + (2 - 2 - o)*(1 - 3 + 0) to c*o + d and give c. -95181 Rearrange (1 - 225 - 195)*(3 - u - 3)*(3 - 6 + 8) to the form y + p*u and give y. 0 Express (46107 + 34631 + 34833 - 3334)*((d + 3*d - 5*d)*(-d - 3*d + 2*d) + 3*d**2 + d**2 - 3*d**2) in the form x*d + q*d**2 + p and give q. 336711 Express k + k + 3*k + (3 + k - 3)*(-1 - 1 + 4) + 1261 - 2*k - 288 - 304 as s*k + j and give j. 669 Express ((-4 - 2*n + 4)*(4 + 5 + 4) + 2*n + 0 + 0)*(-5 + 2 + 1) + (0 - 6 + 1)*((n - 5*n + 3*n)*(2 - 7 + 2) - 2*n - 2*n + 5*n) in the form t + s*n and give s. 28 Rearrange (2 - 2 + 2)*(-1 + 0 - 4)*(0 + 0 + l**2) + (-3 - l + 3)*(22*l + 53 - 53) to j*l + q*l**2 + t and give q. -32 Express (-1 - 4 + 1)*(-6*w + 5 - 5) + 7*w - 2*w + 5*w + w - w + w as s + y*w and give y. 35 Rearrange 2*p - p + 8*p**2 - p**4 + 9653*p**3 + 4*p - 9655*p**3 + 1 to f*p**2 + g + x*p**3 + l*p + s*p**4 and give g. 1 Rearrange (-2*c**2 - 2*c**2 + 27*c**2)*(5 + 7 - 4)*(26*c - 9*c + 13*c) to the form o*c**3 + q*c + x*c**2 + p and give o. 5520 Rearrange -99056*u**2 + 2*u**3 - 6*u + 99056*u**2 + 929 to x*u + m*u**2 + q*u**3 + p and give x. -6 Rearrange 614*v - 92*v + 8*v to the form z + t*v and give t. 530 Express -36*j + 23 - 51*j + 20*j - 92*j in the form l + x*j and give l. 23 Rearrange -141*k - 4 - 118*k + 7 to the form o + t*k and give o. 3 Express (-13 - 5*g**3 + 13)*(-1516 + 243 + 127 - 4486 + 251) in the form a*g**2 + w*g**3 + i + t*g and give w. 26905 Rearrange (1057*m + 1467*m - 3181*m - 2)*(-10 + 15 - 23) to a + k*m and give k. 11826 Express -14172*c + 14179*c - 3 - 2*c**2 + 0*c**2 as y*c**2 + g*c + t and give t. -3 Rearrange -19*x + x**3 - 275*x**4 + 136*x**4 + 141*x**4 + 59*x**2 + 75*x**2 to z*x**4 + p*x + o*x**2 + g + b*x**3 and give z. 2 Rearrange (-9 - 11 + 3)*(3*s - 2*s - 3*s)*(894 - 110*s**3 - 894) to y*s + v*s**2 + x*s**4 + r + t*s**3 and give x. -3740 Express 23*k**3 + 12 - 7*k**2 - 10 + 14*k**2 + 41*k**3 + 6*k**2 as o*k**3 + a*k**2 + r*k + b and give o. 64 Express (10757 - 21986 + 9976)*(4*w**2 + w**2 - w**2) + (0 - w + 5 - 2)*(-4*w + 6*w + 0*w) in the form x + d*w**2 + c*w and give d. -5014 Rearrange 4*f - 4147 - 1928 + 338 - 2*f to the form v*f + t and give v. 2 Rearrange 1333*t**2 + 2 - 178*t - 1 - 672*t**2 + 0 - 658*t**2 to the form s + d*t + q*t**2 and give q. 3 Express 22*a - 57*a + 165*a + 92*a as w + t*a and give t. 222 Rearrange (-3 + 3 + 1)*(71*h + 48*h - 427*h + 38*h - 364*h) to the form b + l*h and give l. -634 Rearrange (609*r + 2716*r + 984*r + 698*r + 758*r)*(-2 + 2 - 2*r**2)*(-7*r + 13 - 13) to k*r + p*r**2 + a*r**3 + x*r**4 + n and give x. 80710 Express (-w + 3*w + w)*(4 + 2 - 4)*(-2 - 1 + 1)*(16081 + 27319 - 9881) in the form x + z*w and give z. -402228 Rearrange 323*j**2 - 698*j**2 - 264*j**2 + 48*j**2 - 1 to g*j**2 + m*j + t and give t. -1 Express 69*d + 529 + 29 - 45*d - 23*d as v*d + y and give y. 558 Express 3937*b**4 + 199*b**4 - 92*b**4 + (4*b - 4*b + 2*b**2)*(2*b**2 - 4*b**2 - b**2) - b**4 - b**2 + b**2 as h*b**4 + c*b**2 + a*b + m*b**3 + t and give h. 4037 Rearrange -186*d**3 + d**4 + 187*d**3 + 2*d**2 + 23*d - 19*d to w*d + m*d**2 + a*d**3 + c + j*d**4 and give j. 1 Express (-2 + 4 - 3)*(3*z - z + 6*z**2 - 5*z**2) - 35 + 10465*z - 597*z**2 - 10465*z in the form h*z + p*z**2 + m and give h. -2 Rearrange 18549*t + 12453*t - 6900*t + 10605*t - 7002*t to v*t + r and give v. 27705 Rearrange (-4*d + d + 2*d + (-1 - 1 + 1)*(-1 + 1 - d) - 4 + 4 + 2*d + 246*d + 76*d - 79*d)*(-2 + 2 + 2) to the form y*d + q and give y. 490 Rearrange -337*x**3 - 5 + 197*x**4 - 2*x**2 + 3 + x**2 + 339*x**3 to m*x + i*x**3 + q + l*x**4 + u*x**2 and give q. -2 Express ((4 + 2 - 4)*(-52*r + 14*r**2 + 52*r) + (r - 4*r + 2*r)*(108*r + 64*r - 243*r))*(4 - 2 - r - 3) as l*r**3 + x*r + b*r**2 + k and give b. -99 Express -1389*g + 481*g + 2996*g + 2222*g in the form l*g + r and give l. 4310 Rearrange 476627 + 9*r**3 + 560*r - 476627 to the form h + o*r**2 + i*r**3 + n*r and give n. 560 Express -3*p + 3*p - 2*p**4 + (460*p**2 - 3*p**3 - 30275*p + 30275*p)*(-3*p - 4*p + 6*p) in the form w + a*p**4 + o*p**3 + u*p**2 + b*p and give a. 1 Express (3 + 3 - 5)*(-118 - i**2 + 503 - 28*i - 381) in the form b*i + g + t*i**2 and give b. -28 Rearrange -81 + 38 - 313 - 2*z**3 + 13*z**2 + 0*z**3 - 14*z**2 to f*z**3 + n*z**2 + h*z + r and give f. -2 Express 16*k**2 + 20*k**2 + 35*k + 44*k**2 - 109*k**2 + 12*k**2 in the form n*k + a*k**2 + q and give q. 0 Express 489 - 8*g**3 + 10 + 517 + g - 2*g + 5*g**3 as a + i*g + z*g**3 + u*g**2 and give a. 1016 Rearrange 2*x - 68613*x**3 - 2 + 69444*x**3 + 4 + 0*x to r*x**2 + b*x**3 + z + l*x and give b. 831 Express -5*l**3 + 12 + 44*l**2 - 91 + 3*l - 53*l**2 - l + 11*l**2 as h*l**3 + m + y*l + x*l**2 and give x. 2 Rearrange t - 231*t**2 + 158498 - 158498 to the form k*t + r*t**2 + g and give k. 1 Express -3919*k - 3262*k - 2974*k + 2750*k - 1054*k as x + b*k and give b. -8459 Express -7190816*f - 2*f**3 + 7190816*f + 16224*f**2 as x*f + l*f**2 + m*f**3 + j and give x. 0 Express -27*h - 100264*h**2 + 2 - 5*h + 100269*h**2 in the form q + z*h**2 + r*h and give r. -32 Express (480*y - 956*y - 993*y**2 + 479*y)*(-3*y - 2 + 4*y + 4) in the form j*y + d + l*y**3 + v*y**2 and give j. 6 Rearrange k**2 + 16 + 89*k - 16 - 5*k**2 to the form c + l*k**2 + h*k and give l. -4 Express (k + 4*k - 4*k)*(2*k - k - 2*k) + (-474*k - 533*k + 913*k)*(0*k - 2*k + 0*k) in the form r + n*k**2 + g*k and give n. 187 Rearrange j - 2*j**3 - 9*j**2 + 0*j**2 + 9*j**2 - 4 - 13*j**2 + j**2 - 8*j**4 to u*j**2 + m*j**4 + y*j**3 + f + s*j and give f. -4 Rearrange (5*u - 8*u - 4*u)*(74*u - 153*u + 75*u - 47*u**2) to the form g*u**2 + r*u**3 + d*u + z and give r. 329 Rearrange -760 + 181 + 579 + 15145*j**2 to the form o*j + c*j**2 + r and give c. 15145 Rearrange 18*g - 10*g - 10*g - 9 - 4*g + g**3 to the form r*g**2 + b + n*g + u*g**3 and give n. -6 Rearrange 27190*k - 12519*k - 4857*k to i + o*k and give o. 9814 Rearrange -676 - 682 + 1358 - 3912*f to the form a*f + v and give a. -3912 Rearrange -4*c**2 - 1 - 1 + 21*c**3 - 14*c**3 + 9*c**3 to the form p + t*c**3 + d*c**2 + o*c and give t. 16 Express (-2*a**3 - 3*a**2 + 3*a**2)*(0*a + 0*a + 2*a) + 62*a**3 - 62*a**3 + 6288*a**4 + 589*a**4 as d + k*a**2 + b*a**4 + z*a**3 + o*a and give b. 6873 Express -5*k - 14 + 181*k**3 + 52 + 178*k**3 - 344*k**3 in the form a + u*k + n*k**2 + s*k**3 and give u. -5 Express 11*a**3 - 265*a**4 - 8*a**3 + 263*a**4 - 48*a**2 in the form g + j*a**3 + k*a**2 + n*a + w*a**4 and give w. -2 Express -50*n**2 + 1148*n**2 + 6*n**3 + 930*n**2 + 1241*n**2 in the form z + a*n**3 + k*n**2 + u*n and give z. 0 Rearrange 3 + 6340*t + 6 - 6299*t + 2 - 7 to the form m*t + i and give i. 4 Express -118559 + 59280 - 7312*z + 59282 as u*z + y and give y. 3 Rearrange 184 + x - 41 - 148 + 6*x**2 to g*x**2 + l + j*x and give j. 1 Express -5*n**2 + 2*n - 392914*n**4 - 5*n**3 - 3*n**2 + 392917*n**4 as i*n**3 + v*n**2 + w*n + j + m*n**4 and give m. 3 Rearrange c + 57 + 42*c**2 - 72074*c**3 - 2*c**4 + 72072*c**3 - 58 to w*c**3 + o*c**2 + g*c**4 + a*c + b and give g. -2 Express 4*d**2 + 11*d - 79*d - 75 + 77 + 10*d**3 + 30*d + 21*d in the form k + o*d + p*d**3 + i*d**2 and give k. 2 Rearrange (-116*g**2 - 30*g**2 + 1325 - 1326)*(4*g + 5*g - 5*g) to c*g**3 + l*g + d*g**2 + h and give l. -4 Rearrange -5*v**2 - 5*v**2 - 55551*v + 55673*v to the form a*v + x*v**2 + i and give x. -10 Rearrange (173*k**2 - 22*k**2 - 77*k**2 - 2*k)*(-5 + 5 - 1)*(-9 - 5*k + 9) to the form h*k + y*k**2 + z + r*k**3 and give y. -10 Rearrange (3*y**2 + y**2 - 2*y**2 + (-2*y + 2*y - y)*(-2*y - 2*y + 3*y) + 3*y**2 + 1266*y - 1266*y - 1)*(-38 - 21 - 58) to the form n*y + t*y**2 + a and give t. -702 Express -3*y**3 + 138*y + 35*y + 5 + y**4 + 4*y**3 - 41*y - 2 in the form p*y**3 + f*y**2 + u + z*y**4 + c*y and give u. 3 Rearrange 3 - y - 3 - 2*y**2 - y**2 - 35*y**2 - 18*y**2 + (3*y - 5 + 5)*(-y - 3*y + 0*y) + (0*y - y + 0*y)*(-4*y + 3*y + 0*y) to q + d*y**2 + v*y and give d. -67 Express 1 + 7802*z + 4480*z - 3726*z + 9322*z as q*z + b and give b. 1 Rearrange (-3 + 5 - 3)*(-165*p + 96 + 44*p + 23*p - 197*p) to o*p + n and give o. 295 Rearrange -20272*y - 5703*y + 5924*y to the form k*y + s an
{ "pile_set_name": "DM Mathematics" }
of q(u). Factor o(s). (s - 3)**2*(5*s - 2) Let m(i) = i**2 + i - 30. Let f be m(5). Let p(b) be the second derivative of 0 + f*b**2 + 0*b**3 + 3/20*b**5 - b - 1/12*b**4. Factor p(z). z**2*(3*z - 1) Determine h so that 0 - 20*h - 5/3*h**2 = 0. -12, 0 Let f(k) be the third derivative of -1/6*k**5 + 0*k + 7/60*k**6 + 25*k**2 + 1/12*k**4 + 0*k**3 - 1/35*k**7 + 0. Let f(y) = 0. What is y? 0, 1/3, 1 Let c(f) = -189*f - 1701. Let b be c(-9). Solve 0*p**2 + 1/3*p**3 - 1/3*p + b = 0. -1, 0, 1 Factor -140*o + 144 - 16*o**2 - 13*o**2 - 10*o**2 + 49*o**2 - 14*o**2. -4*(o - 1)*(o + 36) Suppose 240 = -4*b + b. Let g be b/(-19) - 4/(-8)*-8. Factor -4/19*k**3 - 2/19*k**2 + 2/19*k**4 + g*k + 0. 2*k*(k - 2)*(k - 1)*(k + 1)/19 Let n(h) = h**3 - 61*h**2 + 82*h - 22. Let f(m) = 12*m**2 - 16*m + 4. Let r(t) = 11*f(t) + 2*n(t). Factor r(d). 2*d*(d - 1)*(d + 6) Let m(k) be the first derivative of k**4/30 - 7*k**3/15 + 6*k**2/5 + 11*k + 10. Let b(z) be the first derivative of m(z). Factor b(t). 2*(t - 6)*(t - 1)/5 Let h(u) be the first derivative of 21*u**5/5 + 195*u**4/4 + 74*u**3 + 24*u**2 - 40. Factor h(p). 3*p*(p + 1)*(p + 8)*(7*p + 2) Let m(s) be the third derivative of -2*s**7/105 + s**5/15 + 6*s**2. Solve m(c) = 0. -1, 0, 1 Let o be 0/((-15)/((-90)/12)). Factor 0*a + 0*a**2 + 0 + o*a**4 - 1/9*a**5 + 1/9*a**3. -a**3*(a - 1)*(a + 1)/9 Let c(k) = -k + 2. Let b be c(-1). Solve 8*x**2 + b*x**4 - 3*x**2 + 2*x**4 - 10*x**4 = 0 for x. -1, 0, 1 Let r be (-462)/88*2/3*(-28)/441. Solve 1/9*p**4 + 0 + 0*p**2 + 0*p - 1/9*p**5 + r*p**3 = 0. -1, 0, 2 Let x = -13188/5 + 2638. Suppose -2/5*g - 2/5*g**4 + 2/5*g**2 + x*g**3 + 0 = 0. Calculate g. -1, 0, 1 Let d(f) = -f**3 - f. Let y(m) = m**3 - 16*m**2 - 62*m. Let c(l) = 2*d(l) + y(l). Suppose c(k) = 0. Calculate k. -8, 0 Let o be 2*5/10*(-14)/(-2100). Let u(s) be the third derivative of o*s**5 + 0*s**4 + 0 + 0*s + 13*s**2 - 4/15*s**3. Suppose u(l) = 0. What is l? -2, 2 Let y = -3429 - -3432. Factor -1/2*s**2 + 1/2*s**y - 1/2*s + 1/2. (s - 1)**2*(s + 1)/2 Let t = 16201 - 339977/21. Let a(u) be the first derivative of t*u**3 + 104/7*u**2 + 2 + 15/7*u**4 + 48/7*u. Find z such that a(z) = 0. -3, -2/3, -2/5 Determine k, given that 784*k - 597*k**2 - 146*k**2 + 1012*k**3 + 21*k**2 - 120*k**4 - 602*k**2 - 356*k**2 + 4*k**5 = 0. 0, 1, 14 Let c(v) be the second derivative of -v**7/525 + v**6/150 - v**5/150 + 9*v**2/2 + 13*v. Let k(a) be the first derivative of c(a). Find z, given that k(z) = 0. 0, 1 Let k = -70975/29708 + -4/1061. Let v = -15/7 - k. Find a such that 1/4*a**3 + 0 - 1/4*a**4 - v*a + 1/4*a**2 = 0. -1, 0, 1 Let w be ((-2)/8)/(4/(-12)). Let p be (-7)/35*35/(-28). Factor -p*q**2 - w*q - 1/2. -(q + 1)*(q + 2)/4 Let r = 274 - 271. Let d(g) be the first derivative of 1/10*g**4 - 2/5*g - 1/5*g**2 + 2/15*g**3 - r. What is l in d(l) = 0? -1, 1 Let s = 2 + 7. Suppose -b + 4*b - s = 0. Factor -2 + 6*l + 6*l**3 - 6*l**2 - l**3 - 2*l**b - l**3. 2*(l - 1)**3 Let h(y) = -2*y**4 - 2*y**3 - y**2 - y - 2. Let f(p) = p**5 - 6*p**4 - 4*p**3 - p**2 - 4*p - 10. Let u(m) = -f(m) + 5*h(m). Factor u(c). -c*(c + 1)**4 Factor -48*g - 22*g + 2544 + 70*g**3 - 2479 + 2*g**2 - 62*g**2 - 5*g**4. -5*(g - 13)*(g - 1)**2*(g + 1) Let x(k) = -3*k**4 + 5*k**3 + 7*k**2 + 7*k. Let v(f) = -4*f**4 + 6*f**3 + 10*f**2 + 8*f. Let w(h) = 4*v(h) - 5*x(h). Let w(o) = 0. What is o? -3, 0, 1 Let x(g) be the first derivative of 0*g**2 - 2/35*g**5 + 0*g**3 + 0*g + 1/7*g**4 + 3. Factor x(a). -2*a**3*(a - 2)/7 Let g(v) be the second derivative of v**6/135 + v**5/9 - v**4/18 - 32*v**3/27 - 20*v**2/9 - 16*v - 10. Solve g(k) = 0. -10, -1, 2 Let h(m) be the third derivative of 1/30*m**6 + 0 + 5/168*m**8 + 1/15*m**7 + 0*m**3 + 0*m**5 + 3*m**2 + 0*m**4 + 0*m. Let h(v) = 0. Calculate v. -1, -2/5, 0 Let z be (-11)/(-3) + 2/6. Suppose -5*p + 25 = 0, -3*x = -2*p + z + 6. Solve x - 2/5*r**2 + 0*r + 0*r**3 + 2/5*r**4 = 0. -1, 0, 1 Let q(g) = -g**4 + 7*g**3 - 14*g**2 - 13*g + 6. Let v(p) = 2*p**4 - 16*p**3 + 27*p**2 + 26*p - 14. Let a(j) = -5*q(j) - 3*v(j). Suppose a(s) = 0. What is s? -1, 1, 12 Let l(n) = 6*n**2 + 1. Let t be l(-2). Let q = 30 - t. Factor -k**2 - 3*k**q - 2*k**3 + 2*k**2 + k**3 - 5*k**4 + 0*k**3. -k**2*(k + 1)**2*(3*k - 1) Let w be (-23 - 1)/(-3) + 3*-2. Solve -3/5*v**w - 18/5*v**3 - 27/5*v**4 + 0*v + 0 - 12/5*v**5 = 0. -1, -1/4, 0 Let d(x) be the second derivative of -x**5/70 + x**4/7 - 5*x**3/21 + 61*x. Find c, given that d(c) = 0. 0, 1, 5 Let s(n) be the second derivative of -n**5/15 + 10*n**4/9 - 8*n**3/3 - 48*n**2 - 4*n - 39. Factor s(u). -4*(u - 6)**2*(u + 2)/3 Let z(i) = -3*i**3 + 6*i + 9. Let h(y) = y**2 - y - 1. Let u(f) = -6*h(f) - z(f). Let a(x) = -x**2 - 1. Let t(d) = 3*a(d) - u(d). Factor t(q). -3*q**2*(q - 1) Let x = -1899/2 + 950. Let i(m) be the third derivative of -9*m**2 - 1/80*m**5 - x*m**3 + 0 - 1/8*m**4 + 0*m. Factor i(g). -3*(g + 2)**2/4 Factor -5/3*l + 5/3*l**4 - 5*l**2 + 5/3*l**3 + 10/3. 5*(l - 1)**2*(l + 1)*(l + 2)/3 Let k be 426/22 + 19798/(-1042). Suppose 0*j**2 + 6/11*j**3 + 0 + 0*j + k*j**4 - 2/11*j**5 = 0. Calculate j. -1, 0, 3 Let v be (-2)/4 - (-31)/(-2). Let n(z) = -15*z**2 - 13*z + 13. Let g(r) = -59*r + 0 - r - 5*r - 76*r**2 + r + 64. Let p(m) = v*n(m) + 3*g(m). Factor p(q). 4*(q + 2)*(3*q - 2) Let f(q) be the second derivative of -q**7/189 - 7*q**6/135 - 19*q**5/90 - 25*q**4/54 - 16*q**3/27 - 4*q**2/9 + 10*q + 5. Solve f(d) = 0 for d. -2, -1 Let n be (0 - (-92)/16)*4. Let r = -7 + n. Factor -1 + 8*y - r*y**2 + 1 - 2 + 1. -(4*y - 1)**2 Let s(d) be the third derivative of d**6/240 + d**5/30 - 7*d**4/12 + 8*d**3/3 + 17*d**2 - 5. Determine y so that s(y) = 0. -8, 2 Let v(d) = 48*d - 813. Let l be v(17). Determine r, given that -r - 1/2*r**2 + 0 + 1/2*r**l = 0. -1, 0, 2 Let n(u) be the third derivative of -u**5/12 + 5*u**4/12 + 3*u**2 - u. Solve n(q) = 0 for q. 0, 2 Suppose -2*w = 3*w - 60. Let o be ((-15)/w)/(1/(-12)). Solve -8*m**2 - 15*m + 8*m**3 - 2*m**4 + o*m = 0 for m. 0, 2 Let w = -274252/7 - -39179. Factor 1/7*k - w*k**2 + 0. -k*(k - 1)/7 Let s be (-1 - (-8)/6) + 154/66. Solve 2/3*t**2 - s*t + 2 = 0 for t. 1, 3 Let p(l) be the first derivative of 1/7*l**4 - 6/7*l**3 + 8/7*l - 10 + 6/35*l**5 + 0*l**2. Let p(t) = 0. Calculate t. -2, -2/3, 1 Let r = 84 + -80. Determine q, given that -25*q**2 + r*q - 13*q**3 - 7*q**3 - 14*q - 5*q**4 = 0. -2, -1, 0 Let b(k) be the second derivative of -1/6*k**3 + 16*k - k**2 + 1/12*k**4 + 0. Factor b(w). (w - 2)*(w + 1) Determine w, given that -116/13*w - 24/13*w**3 + 48/13 + 2/13*w**4 + 90/13*w**2 = 0. 1, 4, 6 Let p(u) = -u**3 - 7*u**2 - 11*u - 2. Let o be p(-5). Factor -10 + 20*n**o + 14*n - 47*n**5 - 49*n - 30*n**2 + 62*n**5 + 40*n**4. 5*(n - 1)*(n + 1)**3*(3*n + 2) Let p(y) be the third derivative of -y**5/105 - 11*y**4/42 - 12*y**3/7 + 264*y**2. Factor p(a). -4*(a + 2)*(a + 9)/7 Let o be (0 - 0) + (19 - -2) + -5. Let i be 4 + 5/((-20)/o). Factor 0*a + 2/5*a**3 + 2/5*a**2 + i. 2*a**2*(a + 1)/5 Let q(k) = -k. Let c be 1 - 2/(2/(-3)). Let n(i) = i - 11 + 7 + 9*i - 2*i**2. Let d(t) = c*q(t) + n(t). Factor d(s). -2*(s - 2)*(s - 1) Let t be ((-95)/30 - -3)*(-5 + 0). Let n = t + 5/12. Solve -25/4*w + 5/2 - n*w**3 + 5*w**2 = 0. 1, 2 Let i(z) be the first derivative of z**6/6 + z**5 + z**4/4 - 17*z**3/3 - 11*z**2 - 8*z + 92. Factor i(f). (f - 2)*(f + 1)**3*(f + 4) Let j(h) be the first derivative of -2*h**3/39 - 7*h**2/13 + 16*h/13 - 421. Solve j(d) = 0 for d. -8, 1 Let y be ((-6)/(-42)*0)/((-12)/(-18)*-3). Factor 3/5*r**2 + 0 + y*r. 3*r**2/5 Suppose v + 5*c = -11, 0*c + 5*c = -2*v - 12. Let l be (192/320)/(v/((-2)/3)). Solve 16/5*k - 32/5 - l*k**2 = 0. 4 Let r = -902 + 905. Suppose 1/7*q + 4/7*q**r - 5/7*q**2 + 0 = 0. Calculate q. 0, 1/4, 1 Suppose 6 = -3*m - 4*h, -2*h = 2*m - 62 + 64. Find o such that 0*o**4 + 4/9*o**m + 2/9*o**5 + 0*o - 2/3*o**3 + 0 = 0. -2, 0, 1 Let b(r) be the second derivative of -2/75*r**6 + 0*r**2 + 1/30*r**3 + 6*r + 1/15*r**4 - 1/100*r**5 + 0. Factor b(v). -v*(v - 1)*(v + 1)*(4*v + 1)/5 Let w be ((-14)/6)/((-28)/21). Let c(a) be the second derivative of 1/2*a**3 + w*a**4 + 8*a + 0*a**2 + 9/10*a**6 + 9/4*a**5 + 0. Factor c(n). 3*n*(n + 1)*(3*n + 1)**2 Let m(o) = 12*o**2 + 214*o + 172. Let v(f) = -4*f**2 - 71*f - 58. Let h(z) = -3*m(z) - 10*v(z). Determine d, given that h(d) = 0.
{ "pile_set_name": "DM Mathematics" }
is positive. 1/x Simplify a**9*a/a**(3/7) assuming a is positive. a**(67/7) Simplify (x/x**(-1))**(-8/7)/(x*x**2)**(3/23) assuming x is positive. x**(-431/161) Simplify u*u**3*u*u/u**(2/9) assuming u is positive. u**(52/9) Simplify (y**(-5))**(5/7) assuming y is positive. y**(-25/7) Simplify ((g*g**8)/(g/(g*g/(g/(g**(1/7)/g))*g*g)))**(-3/35) assuming g is positive. g**(-213/245) Simplify (((b/(b**(2/5)*b)*b*b)/b)/(b/b**(-1)))/(b**(-2)*b**(-5)) assuming b is positive. b**(28/5) Simplify p**(-2)*p**(-6)*p**(-8)/p*p**(-9) assuming p is positive. p**(-26) Simplify ((w**(-1))**(10/11))**(2/35) assuming w is positive. w**(-4/77) Simplify (c**(-1))**27/((c/c**6)/c*c*c*c*c**(-1/5)) assuming c is positive. c**(-119/5) Simplify (r/r**(-13/2))/(r**17*r) assuming r is positive. r**(-21/2) Simplify (f**4*f**(-10))/(f*(f*f**1*f*f)/f)**(-18/7) assuming f is positive. f**(30/7) Simplify u/u**(-4/5)*((u**15*u)/u)/u*u assuming u is positive. u**(84/5) Simplify l**(4/11)*l*l/(l*l/(l*l**40)*l) assuming l is positive. l**(444/11) Simplify (t/(t/(t**0/t)))**(1/7) assuming t is positive. t**(-1/7) Simplify (m*((m/m**36*m*m*m)/m*m)/m)/(m*m**(2/119)) assuming m is positive. m**(-3929/119) Simplify (o*(o/(o/(o**(-2/3)*o*o)))/o*o*o**(2/7))/(o/(o/o**(2/5))*o)**(-21/4) assuming o is positive. o**(4187/420) Simplify (n/(n*n**3)*n)/n**(1/9)*(n/(n*n**(-3/2)*n*n))/((n/(n*n*(n/n**2*n)/n*n))/n) assuming n is positive. n**(-11/18) Simplify (a*a*(a/(a/(a*a**(1/4))*a))/a*a**(-6/11))**(15/4) assuming a is positive. a**(465/176) Simplify g**(-1/8)*g**(-6)*g*g**(-7)*g/(g**(5/4)/g) assuming g is positive. g**(-91/8) Simplify ((w/w**(-6))/w)/w*w*w/((w/(w/w**22*w))/w)*w assuming w is positive. w**(-12) Simplify m*m**(-2/9)*m**(-1/5)*(m/(m**(-2/7)*m*m))**(-1/41) assuming m is positive. m**(7687/12915) Simplify (((d/(d*d**(-7)))/d)**22)**(2/45) assuming d is positive. d**(88/15) Simplify ((p/p**(-1))/(p*p/(p/(p/p**(-5/4)))*p))/((p*p/p**1*p)/p)**19 assuming p is positive. p**(-85/4) Simplify (h**(7/4))**(16/3) assuming h is positive. h**(28/3) Simplify ((y*y*(y*y**2/y*y)/y)**(-2/53))**(-15/8) assuming y is positive. y**(15/53) Simplify (p*((p*p/(p/p**(-1/4))*p)/p*p)/p)/(p*p**(-6)/p)*((p/(p/(p/p**(2/21))))/p*p*p)/p**0 assuming p is positive. p**(811/84) Simplify p*(p/p**(11/4))/p*p*p*p*p*p**20/p*p assuming p is positive. p**(89/4) Simplify (n/(n*n/(n/n**(2/21)))*n**(-7))/(n**0)**(-49) assuming n is positive. n**(-149/21) Simplify (a**(-6)*a)/(a*a**(-1/3)*a*a)*(a*(a*a**(-4))/a)/(a*a*a**(1/3)*a) assuming a is positive. a**(-14) Simplify (l**(1/12))**(1/25) assuming l is positive. l**(1/300) Simplify h*h**(-3)*h**(-1/59) assuming h is positive. h**(-119/59) Simplify ((a**(-6)/a*a)/(a/(a*a/a**(2/13))))/(a/(a**(-1/9)*a)*a**(-2/19)) assuming a is positive. a**(-11470/2223) Simplify (n**(-3)/((n**(-4/3)*n)/n))/((n/((n/(n/n**(9/5)))/n*n))/n**(4/9)) assuming n is positive. n**(-19/45) Simplify (c**(-7/5)/((c**(-8)/c*c*c)/c))**(-18/5) assuming c is positive. c**(-594/25) Simplify ((u*u*u**(-5/4)*u)/(u/(u/u**4)*u))/(u**2*u/u**(1/2)) assuming u is positive. u**(-23/4) Simplify (h**(2/5))**12 assuming h is positive. h**(24/5) Simplify x**(-4/7)*x**(-13) assuming x is positive. x**(-95/7) Simplify ((o*o**(2/25))/o)/(o**(-1/4)*o)*o**6/o**5 assuming o is positive. o**(33/100) Simplify c**(-29)*c**(-1/30)/c assuming c is positive. c**(-901/30) Simplify r**5/(r/r**4)*r**2/(r*r*r/(r**(1/3)/r)) assuming r is positive. r**(19/3) Simplify (v**(-4/5)*v*v*(v/(v*v*(v/(v*v*((v/(v/(v*v/(v/(v*v**(2/13)*v)))))/v)/v))/v*v*v))/v)/(v**(-2/7))**(2/29) assuming v is positive. v**(4929/13195) Simplify g/(g**(-13)*g)*g**(14/9)*g assuming g is positive. g**(140/9) Simplify (((r*r/(r/(r*r/r**(-1/4))))/r)/r*r*r**(-2)*r)**(3/4) assuming r is positive. r**(15/16) Simplify l**(-1)/l**(-2/15)*l**(2/17)/(l*l**(-2/7)) assuming l is positive. l**(-2612/1785) Simplify ((g**33/g*g)/g)**8 assuming g is positive. g**256 Simplify ((o**6/o)**(-2/47))**(-7) assuming o is positive. o**(70/47) Simplify g*g*g**(-4/9)*g/g**7 assuming g is positive. g**(-40/9) Simplify (c**11)**(-15) assuming c is positive. c**(-165) Simplify j/(((j**(1/4)/j)/j)/j)*j/(j/(j*j*(j*j*j**(6/11)/j)/j))*j*(j/(j*j*(((j**3/j)/j)/j)/j*j))/j*j**3 assuming j is positive. j**(365/44) Simplify ((n/(n*n**(-1))*n*n)/n)**44*(((n**(-2/3)*n)/n*n)/n)**28 assuming n is positive. n**(208/3) Simplify ((z**(-7)/z)/z**(-1))/(z**6/z**(-1/2)) assuming z is positive. z**(-27/2) Simplify ((x*x**(-4))/x)/(x**(-5)/x)*x**(7/2)*x*x**(-1)*x assuming x is positive. x**(13/2) Simplify (d*d**(-13)*d*d/(d**(1/14)/d))**(-8) assuming d is positive. d**(508/7) Simplify c**(-3/5)/(c/c**(-15)) assuming c is positive. c**(-83/5) Simplify ((z*z*z**2)/z)**(-1/19)*(z**1)**(-1/15) assuming z is positive. z**(-64/285) Simplify s/s**(-1/33)*s**(-4/3)/s assuming s is positive. s**(-43/33) Simplify d**(-5)/(d**(1/30)/d) assuming d is positive. d**(-121/30) Simplify (o*o*o/(o**(1/4)/o*o))**(-50) assuming o is positive. o**(-275/2) Simplify (l/(l*l/l**4))/(l**(1/18)/l) assuming l is positive. l**(71/18) Simplify (f*((f*f**(-1))/f*f)/f*f)**(2/11)/(f**1/(f/f**0)) assuming f is positive. f**(2/11) Simplify (r/(r/r**(-18))*r)**16 assuming r is positive. r**(-272) Simplify (p**18)**(-31) assuming p is positive. p**(-558) Simplify ((m**(1/14)/m)/m)/(m**(-20)*m*m) assuming m is positive. m**(225/14) Simplify (o**(-7/5))**(-1/23) assuming o is positive. o**(7/115) Simplify b/b**(-1/4)*(b**(-6/7)*b)/b*b**(-2/5)*b/(b*b/(b/((b**(3/5)/b)/b))) assuming b is positive. b**(39/28) Simplify ((r*(r*r*r**(-2/9))/r*r*r*r*r*r)/r**(-3))**16 assuming r is positive. r**(1408/9) Simplify ((r*r/(r/(r**16/r)))/r)/r*r*r*r**(-13) assuming r is positive. r**3 Simplify h/(h**6*h)*h/(h/((h*h**(2/29))/h)) assuming h is positive. h**(-172/29) Simplify (w/(w*w*(w*w*w/w**29)/w))/(w*w**(-17)) assuming w is positive. w**42 Simplify f/(f*(f*f**(1/20))/f*f)*f*f**(6/5) assuming f is positive. f**(23/20) Simplify j**(-2/7)/((j/j**7*j*j*j)/j)*j**(-1/4)*j/(j/((j*j**(-3/7)/j*j)/j)) assuming j is positive. j**(85/28) Simplify ((m*m/(m**(1/6)*m))**(10/11))**(1/39) assuming m is positive. m**(25/1287) Simplify p**7/p*p**(5/3) assuming p is positive. p**(23/3) Simplify (r**5/(r/(r**0*r)))/(r**(-1)/r**(-2/3)) assuming r is positive. r**(16/3) Simplify (p**(3/4)*p*p/(p/(p*p**4))*p)**(-26) assuming p is positive. p**(-403/2) Simplify l*((l*l**(3/4))/l)/l*l*l*l/((l*l**(-2/9)/l*l)/l*l)*l assuming l is positive. l**(143/36) Simplify (g/g**(-1/3))**(-10)*g**1/(g**4/g) assuming g is positive. g**(-46/3) Simplify q**(-6/7)/(((q*q**10)/q)/q) assuming q is positive. q**(-69/7) Simplify (o**(1/4)*o)**(-24)*(o**(-2))**(-1) assuming o is positive. o**(-28) Simplify (r**(2/5)/r)**(17/5) assuming r is positive. r**(-51/25) Simplify (x**29)**(27/2) assuming x is positive. x**(783/2) Simplify o**(2/27)/o*o/o**(1/2) assuming o is positive. o**(-23/54) Simplify ((p**(-18)*p)/p)**(-4/25) assuming p is positive. p**(72/25) Simplify y/y**(-1/5)*y**(1/5)*(y*y/y**1)**(-2/7) assuming y is positive. y**(39/35) Simplify u**8/u**(5/2) assuming u is positive. u**(11/2) Simplify (x**(1/5)/x)**(-30/13) assuming x is positive. x**(24/13) Simplify ((j*j*j**(-3/4))/j)/j*j**(-1)*j**(-5)*j**0*j assuming j is positive. j**(-23/4) Simplify ((g*g/(g*g**4/g*g*g))/(g**9/g))**(-37) assuming g is positive. g**444 Simplify (r*((r*r*r*r*r**(-14)*r*r)/r)/r)/(r*(r**(3/13)*r*r)/r) assuming r is positive. r**(-146/13) Simplify (y**(5/2)*y/y**(-5))**(-10) assuming y is positive. y**(-85) Simplify (r/(r/(r*r**(4/5)))*r**(3/10))**(-5/9) assuming r is positive. r**(-7/6) Simplify (g/g**(1/3))**3/(g*g**0*g*g)**(-50) assuming g is positive. g**152 Simplify (o**(-6)*o**(-3/7))**(-6/25) assuming o is positive. o**(54/35) Simplify (r**3/(r*r**(-2)))**43 assuming r is positive. r**172 Simplify (a**(-1)/(a*a/((a/a**(-11)*a)/a)))**(-2/57) assuming a is positive. a**(-6/19) Simplify (p/((p/(p*p**(-2/15)/p))/p))**46 assuming p is positive. p**(598/15) Simplify (r**(-9)/r*r)/(r*r*r**25/r) assuming r is positive. r**(-35) Simplify k**(-4)/(k*k/(k/(k**(-2)*k)))*k**5/k**4 assuming k is positive. k**(-3) Simplify (a**(-5)*a/a**(2/23)*a)/(a**(2/5)*a*a/((((a/(a*a*(a/a**(1/13))/a*a)*a)/a*a)/a*a)/a)) assuming a is positive. a**(-11
{ "pile_set_name": "DM Mathematics" }
nd give f. 0 Rearrange (43 - 43 - 15*f)*(0 - 2 + 3)*(-4*f - 3*f + 3*f) to the form k*f + m + n*f**2 and give n. 60 Rearrange -30*d + 5*d**4 + 30*d - 5 + 5 + d**4 + (4*d**4 + d**4 - 3*d**4)*(1 + 2 - 8) to k + q*d**3 + m*d**2 + c*d**4 + p*d and give c. -4 Express (p - 10160 - 10262 + 20889)*(-2*p**2 - p + p) as n*p**2 + h*p + f*p**3 + x and give f. -2 Express 2*a - 4*a**2 - 5*a - 53419*a**4 + 3 + 53417*a**4 as x*a**4 + y*a**3 + d*a + v + r*a**2 and give d. -3 Rearrange (-p + 2*p - 2*p)*(767 - 760 - 19*p**2 + 14*p**2) - p**3 + p**3 - 2*p**3 to c*p + f + m*p**2 + l*p**3 and give l. 3 Rearrange 6 - 7*t + 6*t + 5 - 9*t - 3 to f + w*t and give w. -10 Rearrange (-28*d + 49*d + 47*d - 2 - 2)*(2*d**2 - 6*d**2 + d**2) to the form h + k*d**2 + u*d + g*d**3 and give g. -204 Express ((-d - d + d)*(0 - 1 + 7) - 2*d - 3 + 3)*(-5*d + 0*d + 7*d) in the form w*d**2 + h + i*d and give w. -16 Express (16 + 22 - 10)*(0 + 0 - 2*u)*(-33 + 50 - 69 - 61) as c + m*u and give m. 6328 Express 723*m - m**2 + m**3 - 630*m + 2*m**2 as u + l*m**3 + f*m**2 + s*m and give s. 93 Rearrange -18*f - 71*f**3 + 41*f - 15*f - 5*f + (3 + 2*f - 3)*(2*f**2 + 2*f**2 - 5*f**2) - 2*f**3 + 0*f**2 + 0*f**2 to o*f**2 + t*f**3 + b + r*f and give r. 3 Rearrange (-9*y - 178 + 178)*(y + 2 - 2*y - 4) to u*y**2 + p*y + z and give p. 18 Express (260*m**2 - 251*m**2 - 129*m**2)*(1 + 1 - 1) + 3*m**2 - 2*m**2 + 5*m**2 - 3*m**2 in the form r*m + n + d*m**2 and give d. -117 Rearrange (2*m**3 - 2*m**3 + m**3)*(-m + 2*m + 0*m) + 74*m**4 + 25 - 15 - 8 to l + b*m**3 + t*m**4 + x*m + w*m**2 and give b. 0 Rearrange -11*c**3 - 31*c**3 + 2433 - 2443 + 4*c**3 + c**3 to the form t*c + p*c**3 + l*c**2 + h and give p. -37 Rearrange 11*y**2 + 56924 - 2*y**3 + 21*y**2 - 56910 - 7*y**2 to t*y**3 + j*y**2 + v + u*y and give t. -2 Rearrange 4*s + 0*s - 2*s - 3 + (-5 + 5 - 2*s)*(1 + 0 + 1) + 0*s - 2*s + 0*s to d*s + o and give d. -4 Rearrange 20 - 108*j - 8 - 12 to d + o*j and give o. -108 Express -85*r**3 + 4*r**2 + 87*r**3 - 2*r**2 + 0*r**2 - 7 as f*r + t*r**2 + m + o*r**3 and give o. 2 Express (-110*n - 90*n + 152*n)*(3*n**3 - 2*n + 2*n) in the form t*n**3 + u*n**4 + p*n**2 + j*n + a and give u. -144 Rearrange (-2*s - 2*s**2 + 2*s)*(1838 + 378 + 1567 + 2028) to t + g*s**2 + f*s and give f. 0 Express -61*b + 259*b**2 + 14 - 14 - 16*b**2 + 62*b as x + d*b**2 + l*b and give d. 243 Express 1 + x**3 + x**2 - 31*x - 35*x + 79*x - 25*x + 3 in the form r*x + m + j*x**3 + d*x**2 and give j. 1 Rearrange (5*f**2 + 9*f**2 - 7*f**2)*(0*f**2 + 1 + 0*f**2 + 3*f**2) to p + b*f**4 + l*f + u*f**2 + n*f**3 and give b. 21 Rearrange (-2*z + z - 2*z)*(-7 + 2 + 3) - 14*z + 10*z + 52*z to n*z + v and give n. 54 Rearrange (39*l - 9 - 18*l - 23*l)*(0*l + 2*l + 0*l) to r + t*l + s*l**2 and give t. -18 Rearrange -242 - g**3 + 102*g**2 - 54*g**2 - 50*g**2 to the form l*g**2 + i*g + p*g**3 + j and give l. -2 Rearrange (-31*q**3 - 3*q - 29*q**3 + 63*q**3)*(-q + 1 - 1)*(-1 - 1 - 6)*(-3 - 1 + 2) to the form u*q**3 + w*q**2 + g*q + o + t*q**4 and give t. -48 Rearrange -5*u - 27*u + 7*u - 18 + 2 + 3 to j + d*u and give j. -13 Express -323*t - 4*t - 432*t + 255*t in the form b*t + u and give b. -504 Rearrange 2*k - 6 - 3*k - 4*k**3 + k**2 + 2*k**3 + k**2 to the form u*k**3 + x*k**2 + n*k + h and give u. -2 Express v + 2*v - 2*v + (8 + 1 + 15)*(2*v - 3*v + 0*v) as k + h*v and give h. -23 Express -3 + h**2 - 10*h**3 + 2 + 0 - 2*h + 11*h**3 in the form d + u*h**3 + l*h**2 + y*h and give u. 1 Express -122*n**2 + 172 - 341 + 169 as o*n + k*n**2 + z and give z. 0 Express -36 + 97 - 61 + 133*l in the form h*l + u and give h. 133 Rearrange 12*m + 2*m**4 - 11*m - 27276*m**3 + 27276*m**3 - 40*m**2 - 2 to a*m**4 + h*m**3 + g*m + u*m**2 + z and give h. 0 Express (27*y - 3514 + 3514)*(-39 - 21 + 4) in the form k*y + c and give k. -1512 Express (x + x + 2*x)*(4 - 2 - 1)*(-8 + 1 - 6) - 2 - 2*x + 2 as t + s*x and give s. -54 Express (-6308 - 6323 + 6*u + 12774)*(3 + 2 - 4) in the form s + o*u and give s. 143 Rearrange -14*x**2 - 1001*x**2 + 203*x**2 to the form a + d*x**2 + j*x and give d. -812 Express (2 - 2 + 2)*(1 + 0 + 1)*(-66*i - 125 + 125) as v + f*i and give f. -264 Express (k + 4*k - 2*k)*(2 + 4 + 4) - 7*k - 4 + 4 in the form c + f*k and give f. 23 Express 1 - 5 + 7*b**3 + 6*b**2 - 16*b**2 + 8*b**2 in the form m + z*b + g*b**3 + u*b**2 and give u. -2 Express 24*d**2 + 4 + 4*d**2 + 9*d**2 + 18*d**2 - 5*d**2 in the form n + c*d**2 + x*d and give c. 50 Express (4*r**2 + 1 - 1)*(-r - 2*r + r) + 72*r**3 - 34*r**3 - 33*r**3 + (3 + r - 3)*(0*r**2 - 5*r**2 + 2*r**2) in the form g*r**3 + u*r + b + p*r**2 and give g. -6 Express 4 - 2 + 1 + h**3 - h**3 - 9*h + h**3 in the form s*h**3 + q + b*h + r*h**2 and give q. 3 Rearrange -394*a**2 - 744*a + 744*a + 13*a**2 to the form m*a**2 + i + z*a and give m. -381 Rearrange (1 + 2*j - 1)*(j**2 - 3*j**2 + 0*j**2) + (-3*j**2 + 2 - 2)*(-15 + 15 + 11*j) to w*j + u*j**3 + g + b*j**2 and give u. -37 Rearrange 2 + 9*h**4 - 2 + 3*h**4 - h**4 + 0*h**4 + (h + h - 4*h)*(92*h - 92*h - 9*h**3) + h**3 - h**4 - h**3 to q*h**4 + i*h**2 + w*h + p*h**3 + t and give q. 28 Rearrange 6*p + 48 - 48 + (9 - 2 + 10)*(p + 2 - 2) to the form z + g*p and give g. 23 Rearrange -8*b**4 + 3*b**2 - b - 274 + 133 + 141 to the form t*b**3 + j*b + r + p*b**4 + n*b**2 and give t. 0 Express ((267 - 132 - 117)*(4 + 2 - 4) + 2 + 5 - 5)*(10*c**3 + 0*c**3 + c**3) in the form p*c**2 + n*c**3 + f + o*c and give n. 418 Express (d**2 - d**2 + 2*d**3)*(773*d + 29*d + 385*d + 185*d) as p + r*d**3 + y*d**2 + u*d**4 + w*d and give u. 2744 Express 345*f - 37 - 183*f - 178*f as h + t*f and give h. -37 Express (0*v**2 - 2*v**2 + 4*v**2)*(-3 + 1 + 0)*(-259 + 185 + 956) as p + o*v + t*v**2 and give t. -3528 Express (-4*r + r + 2*r)*(5*r + 8 - 8) + 244*r**2 + 7 - 6 - 254*r**2 + r in the form z + p*r + x*r**2 and give x. -15 Express 3*l - 416*l**2 + 421*l**2 - 2*l + 8*l + 4 + 3*l as r*l + s*l**2 + b and give s. 5 Rearrange (2*z - 3*z + 5*z)*(2 - 2 + 2)*((0 + 3 - 2)*(-z + 2*z - 2*z) + 165*z + 44*z - 78*z) to the form v*z + m + q*z**2 and give q. 1040 Express 0 + 7 - 1 + 5*a - 24 - 40 in the form z*a + r and give z. 5 Rearrange -11*b**2 - 7*b**3 + 3*b**3 + 24*b**2 - 7*b**2 - 4*b - 8*b**2 to y*b + w + s*b**3 + n*b**2 and give y. -4 Express (5*s**2 - 24 + 14 + 12)*(1 - 1 + 6*s) in the form f + i*s + v*s**3 + a*s**2 and give v. 30 Express -6*b + 11*b + 9 + 3*b**4 + 5*b - 6 in the form w*b**3 + l*b**4 + o + p*b + s*b**2 and give o. 3 Express (1 - 1 - 2)*(2 + h - 2) + 8*h - 10*h + 3*h + 4*h + 0*h - 6*h as v*h + j and give v. -3 Rearrange (0*z**2 + 4*z**2 - z**2)*(-26*z + 70*z + 65*z) to the form m*z**2 + q*z + u*z**3 + a and give u. 327 Express (n - 4*n + 5*n)*((2 + 2 - 6)*(n - n + 2*n) + 4*n - 9*n + 7*n + (-3 + 3 + 2)*(-1 + 2*n + 1)) in the form v*n + b + o*n**2 and give o. 4 Rearrange (-34*j - 10*j + 2*j)*((-1 + 0 + 3)*(-3*j + 0*j + 2*j) + (-1 - 5 + 4)*(0 + 0 + j)) to the form d*j**2 + h*j + u and give h. 0 Express 80*h**2 - 37 - 2*h**3 - 80*h**2 in the form u*h**3 + p + d*h**2 + g*h and give p. -37 Express 3*k**4 - 2*k**4 + 69*k**2 - 38*k**2 - 36*k**2 + 2*k - 3*k**3 in the form u*k**2 + r*k + w*k**4 + x + n*k**3 and give n. -3 Rearrange (-9*t - 16 + 16)*(-2*t + 0*t + t)*(2 - 2 + 1) + 17 - 5*t**2 - 17 to a*t**2 + c + j*t and give a. 4 Express 277*m + 733*m - 330*m + 1002*m + 5*m in the form o + a*m and give a. 1687 Rearrange 0 - 4 - 3*w**2 + 4*w**2 - 8*w - 3*w**2 + 5 to o*w + z + y*w**2 and give z. 1 Express (106*i - 63*i - 311*i + 1)*(-5 + 2 + 1)*(-1 - 5 + 2) in the form l + z*i and give z. -2144 Rearrange 4*w - 2*w - 4*w + (-w + w - w)*(0 + 3 - 2) - 1 + 1 + w + 2*w - 3*w - 7*w + (-1 - 1 + 1)*(-3*w - 2*w + 0*w) to the form n*w + p and give p. 0 Rearrange -11 + 9 - 1 - c - 7*c**2 + 9 to i*c**2 + v + z*c and give z. -1 Express -10 + 25 + d + 3*d**3 - 12 - 14 as t + m*d**2 + o*d**3 + v*d and give t. -11 Rearrange -2*u + u + 3*u - 113*u**2 + 114*u**2 + 0*u - 34 to p*u + a + v*u**2 and give v. 1 Rearrange (-387 + 1111 - 414)*(4*q + 0*q - 3*q) to the form o + u*q and give u. 310 Express 13*x**2 - 2*x**3 - 1 + 3 - 17*x**3 + 2*x + 19*x**3 - 4*x**3 in the form h + b*x + n*x**2 + y*x**3 and give h. 2 Express 13 - 5*n - 8*n**2 + 3*n**2 - 3*n**3 + 7*n**2 as p*n**2 + i + v*n + j*n**3 and give i. 13
{ "pile_set_name": "DM Mathematics" }
0 Let v(j) = -3*j**3 - 3*j**2 + 12*j + 73. What is the units digit of v(-9)? 9 Suppose 2*f + 121 = i, 18 + 40 = -f + 3*i. Let h(r) = 90*r + 1. Let k be h(1). Let d = f + k. What is the units digit of d? 0 Let y(m) = m**3 + 6*m**2 + 5*m + 5. Let l be y(-5). Suppose -4 = -l*o + 4*o. What is the units digit of o? 4 Let b(k) = 3*k**2 - 12*k - 21. Let f be 3/(-9) - 84/(-9). What is the units digit of b(f)? 4 Suppose -f + 2*j = j - 47, 4*f + 4*j = 148. Let n(i) = 5*i + 6. Let u be n(-6). Let m = u + f. What is the tens digit of m? 1 Let h be (-5)/(-25) + (-1)/5. Suppose -368 = -4*k - 2*w, 143 = 3*k - 4*w - 144. Suppose h = 3*j - k + 24. What is the units digit of j? 3 What is the hundreds digit of ((-7 + -3211)*1)/(0 - 2)? 6 Let c(b) = -b**3 + 3*b**2 + b + 8. Let f be c(4). Let t be f*(21/(-6) + -2). Suppose 3*v - 17 - t = 0. What is the tens digit of v? 1 Let y(s) = 3*s - 2. Let z be y(2). What is the tens digit of 3/(3/z) + 43? 4 Suppose 3*k + 4900 + 3286 = 2*m, 0 = -5*m - 2*k + 20465. What is the units digit of m? 3 Let w be (-4)/(-18) + (-346)/18. Let f = w + 63. Suppose -7*p + 5*p + f = 0. What is the tens digit of p? 2 Suppose -62141 = 33*t - 225095. What is the units digit of t? 8 Let a(r) = -16 + 7 + 5 + 3*r. Let t be a(-6). Let u = t - -30. What is the units digit of u? 8 Let n(g) = 135*g + 36. What is the units digit of n(2)? 6 Suppose -13*d + 6770 = -19646. What is the tens digit of d? 3 What is the units digit of (12/(-14))/((-99)/924)? 8 Let z(t) = -t**3 + 7*t**2 - 4*t + 1. Suppose 3 = -o - 2*o. Let y be 32/(o - -5) + -3. What is the tens digit of z(y)? 3 Let g(h) be the third derivative of -95*h**4/12 - h**3/3 + 32*h**2. What is the tens digit of g(-1)? 8 Suppose -3*t + 17 = 2*p - 22, -4*t = 4*p - 56. Suppose t*y = 1524 - 391. What is the tens digit of y? 0 What is the thousands digit of (-18670)/(-13) - (-214)/(-1391)? 1 Let r(l) = 3*l**2 + 18*l + 26. What is the hundreds digit of r(12)? 6 Suppose -g - g = -84. Suppose 44 + g = b. What is the tens digit of b? 8 Suppose 3*q - 3613 = -5*k, -2*k - 3611 = -7*k - q. What is the units digit of k? 2 Suppose 107 - 2105 = -2*q + 2*f, 3*q - 2987 = -2*f. What is the hundreds digit of q? 9 What is the units digit of (-374)/(-2) - (22 - 25)? 0 Let c(f) = f + 59. What is the tens digit of c(0)? 5 Let y be 3 + (-6)/(-18) + (-4)/(-6). Suppose y*l - 118 - 42 = 0. What is the tens digit of l? 4 Let g = 188 + -99. Suppose -b = -o - 6*b + g, -3*o - 2*b = -280. What is the units digit of o? 4 Let v(z) = -4*z - 6. Let a(t) = -1. Let k(s) = -4*a(s) + 2*v(s). What is the tens digit of k(-3)? 1 Let l = 19 - 16. Suppose 4*o + 48 = l*s, 8*o - 15 = 3*o. What is the tens digit of (3 + (-68)/s)*-65? 2 Let u be -2*2 - (15 - 120). Suppose 5*s - 22 = 3*i + u, -i + 4 = 0. What is the units digit of s? 7 Let w(c) = -c + 1. Let a(x) = -6*x - 4. Let o(t) = 3*a(t) + 3*w(t). What is the tens digit of o(-5)? 9 Suppose 1166 = 3*x + 7*a - 5*a, -x + 2*a + 402 = 0. What is the hundreds digit of x? 3 Let b = -650 + 995. What is the hundreds digit of b? 3 Suppose 131*j = 133*j - 2, n + 4*j - 3272 = 0. What is the tens digit of n? 6 Suppose -77*b = -63*b - 23240. What is the thousands digit of b? 1 Let w = 169 + 671. Suppose 0 = -11*x + 3*x + w. What is the tens digit of x? 0 Suppose -15*b + 32 = b. What is the units digit of b? 2 Suppose 4*h - 3 = 3*h. Suppose -157 = -h*r - 4*g, r + 2*g = -0*r + 53. What is the tens digit of r? 5 Let m be 2/5*(-5 + 0). Let s(l) = -5*l**2 + l + 2. Let n(a) = 4*a**2 - a - 2. Let q(u) = -6*n(u) - 5*s(u). What is the units digit of q(m)? 4 Suppose 4*t - 1485 = 275. What is the hundreds digit of t? 4 Let j be 5/((-15)/(-36)) - 3. Suppose -j*s + 5 + 13 = 0. Suppose s*b - b + 2*p = 52, -4*b + 252 = -3*p. What is the tens digit of b? 6 Let b be ((-2)/(2 - 0))/(-1). Let i be (-11 - 1) + (2 - b). Let p = 4 - i. What is the units digit of p? 5 Suppose -9*r = -0*r - 288. Suppose 0 = -14*m + 354 - r. What is the tens digit of m? 2 Let i(k) = -k**3 + 16*k**2 + k - 18. Let u be i(16). Let c(j) = -38*j - 10. What is the units digit of c(u)? 6 Let a be 1 + 2 + 2 + -1. Suppose 0 = -3*t + w + 5, -a*t - 7 = -6*t - 3*w. What is the units digit of t? 2 Let y(d) = -23*d**3 - d**2 - 2*d - 1. Suppose 2 - 8 = 3*c. Let h = -3 - c. What is the tens digit of y(h)? 2 Suppose -f - 48 = -2*c, 4*c + 2*f - 5*f - 96 = 0. Suppose 5*h + 0*h = 255. Let g = h - c. What is the units digit of g? 7 Let c(d) = 2727*d**2 + 2*d - 2. What is the units digit of c(1)? 7 Let v = 822 - 392. What is the units digit of v? 0 Suppose 4*x + 5*b + 1 = 6*b, b - 1 = 3*x. Suppose -y + 5 = -x*y. Suppose t - y*t = -96. What is the units digit of t? 4 Let z = -32 + 101. Let v = z - 46. Suppose -l + 0*l + f + v = 0, 50 = 2*l + 2*f. What is the units digit of l? 4 Let m(w) = 3*w**2 - 2 - w + w**3 + 0 + 4*w**2 + 0*w**3. Let y be m(-7). Suppose y*f + c - 299 = 0, -3*f + c + 181 = 2*c. What is the units digit of f? 9 Let q(o) = -o**2 + 10*o + 3. Let h be q(9). Let g = h + 13. What is the units digit of g? 5 Let g = 48 + -43. Let y be 4 - 0*3/9. Suppose 0 = y*q - 115 - g. What is the units digit of q? 0 Suppose 35242 + 22388 = 34*y. What is the units digit of y? 5 Let h be -3 - (-1)/(2/14). Let y = h + -8. What is the tens digit of (272/6)/y*-3? 3 Suppose 15 = l + 4*l, -2 = -b + l. Suppose 14 - 39 = -b*k. Suppose 0 = -5*d - 4*w + 43 + 330, 0 = -3*d + k*w + 246. What is the tens digit of d? 7 Let g = 60 + -56. What is the tens digit of 16/(-6)*(g + (-21 - -2))? 4 Let d be 0*(7/6 - 3/2). Suppose -2*b + 564 = -d*b + 3*l, 0 = -4*b - l + 1128. What is the hundreds digit of b? 2 Let r be (-681 - 1)/(-1) + 2. Suppose 5*p = 11*p - r. What is the units digit of p? 4 Let t = 670 - 943. What is the tens digit of (-2)/(1*6/t)? 9 Suppose 6*h - 2*h = -36. Suppose 4*v = 6*v + 6. What is the units digit of 53 - (v + (-3 - h))? 0 Let u(c) = 122*c - 855. What is the tens digit of u(28)? 6 Let j(l) = -46*l + 627. What is the thousands digit of j(-39)? 2 Let j(u) = u**3 - 6*u**2 + 50*u - 1. What is the hundreds digit of j(7)? 3 Let r(j) = j + 9. Let n = 13 + -6. Suppose -3*u + 2*b + n = -24, 2*b + 20 = 2*u. What is the tens digit of r(u)? 2 Let f = 4783 + -2695. What is the thousands digit of f? 2 Let d(a) = -3*a**3 + 3*a**2 + 8*a + 4. What is the tens digit of d(-4)? 1 Suppose 0 = -x - 27 + 67. Let s = x + 4. What is the tens digit of s? 4 Suppose -5*s + 35 = -3*j, 53 = -4*j + 5*s + 13. Let g = 45 - j. Let q = g - 25. What is the tens digit of q? 2 Suppose -17*s + 14*s = -45. What is the tens digit of s*2/4*(29 - 21)? 6 Suppose -6*l = 5*q - l - 45, 0 = q + 3*l - 17. Let t be ((-66)/q)/(4/(-10)). Suppose 2*w - t - 11 = 0. What is the units digit of w? 2 Let j = 4044 + -1993. What is the tens digit of j? 5 Suppose -14*t + 1939 = -1449. Suppose 4*k - 650 + t = 0. What is the hundreds digit of k? 1 Let b(m) = 220*m - 5. What is the hundreds digit of b(1)? 2 Let c(i) = -i + 1. Let r be c(-10). Let w = r - -8. What is the units digit of w? 9 Suppose 4 - 20 = -4*p. Let m be (-21)/(-14) + 6/p. Suppose 3*l + q - m - 100 = 0, -3*q + 105 = 3*l. What is the tens digit of l? 3 Let v(n) = -n + 193. Suppose 3*x = -2*k - 8, x - 4*k + k = 12. What is the hundreds digit of v(x)? 1 Let x(d) = 5*d**2 - 3*d + 1. What is the units digit of x(-6)? 9 Suppose -16*t + 8196 + 20268 = 0. What is the units digit of t? 9 Suppose 2*a = 3*i, 0 = -2*a + 2*i - 2 + 4. Suppose -4*q + 388 = -a*h, 9*q = 4*q + h + 485. What is the units digit of q? 7 Let k(m) = -3*m. Let i be k(-1). Suppose -i*f + 72 = -2*f. Suppose 56 = d + 3*d - 2*l, -2*l + f = 4*d. What is the tens digit of d? 1 What is the units digit of 1 - -9 - 6 - (-5108)/4? 1 Suppose 50 = -4*v + 10. What is the units digit of 1/v*-294 + (-2)/5? 9 Let k(z) be the second derivative of z**3/6 + 14*z. Let v be k(3). Suppose -w + 3*x + 54 = -x, 0 = -v*w - 5*x + 162. What is the tens digit of w? 5 Let x = 118 - 201. Let n = x + 107. What is the units digit of n? 4 Let d(q) = 4*q + 11. Let r be d(-6). Let c(k) = k**3 + 15*k**2 + 14*k - 15. What is the tens digit of c(r)? 4 Suppose -4*p + 52 = 5*y - 4, -4*p = -2*y. Let o(q) = q**3 - 7*q**2 - 8*q + 7. Let m be o(y). Let n = m - 6. What is the units digit of n? 1 Let o(j) = 7*j**2 - 4*j - 11. Let q be o(-2). Suppose
{ "pile_set_name": "DM Mathematics" }
= 34*b**3 + 13*b**2 + 2*b. Let r(d) = 34*d**3 + 13*d**2 + 3*d. Let t(c) = 3*g(c) - 2*r(c). Find the third derivative of t(x) wrt x. 204 Let n be 3/(1/(-4)*-6). Find the third derivative of -o**6 + 0*o**n + 3*o**2 - 2*o**2 wrt o. -120*o**3 Let r(b) = -b + 9. Let g(v) = v - 10. Let a(l) = 3*g(l) + 4*r(l). Let c be a(5). What is the first derivative of 4*h - 4*h - 2*h + c wrt h? -2 Let s(n) be the first derivative of n**3/3 - 7*n**2/2 - 3. Find the second derivative of s(d) wrt d. 2 Let l(o) = -4*o**3 + o**2. Let w be l(1). Let k = 5 + w. Find the second derivative of 3*j**k + 2*j - 6*j**2 - 2*j**2 + 3*j**2 wrt j. -4 Let w(p) be the third derivative of -p**6/4 - 11*p**4/24 + 28*p**2. What is the second derivative of w(v) wrt v? -180*v Suppose -4 = -4*y - x, -4*x - 12 = -y + 6. Suppose 3*c - 9 - 3 = 0. Find the third derivative of c - 10*p**6 + p**y - 4 + 8*p**6 wrt p. -240*p**3 Suppose l - 2*g - 2 = 0, -2 - 4 = -3*g. Suppose x = l*x - 100. Find the third derivative of x*w**6 - 16*w**6 - 2*w**2 - w**3 + w**3 wrt w. 480*w**3 Let s(c) = c**2. Let h(x) = -4*x**2 + 22*x. Let z(y) = h(y) + 3*s(y). What is the second derivative of z(n) wrt n? -2 Find the second derivative of -3*v**5 + 10*v + 0*v**5 + 2*v wrt v. -60*v**3 Let b(z) = -40*z**3 + 10*z**2 - 38. Let q(y) = -y**3 + y**2 - 1. Let h(s) = b(s) - 10*q(s). What is the first derivative of h(r) wrt r? -90*r**2 What is the derivative of -1 + 4*h - 31*h - 5 - 1 wrt h? -27 Let f(y) be the third derivative of -y**6/72 + y**5/60 - 2*y**3/3 - 9*y**2. Let p(r) be the first derivative of f(r). Find the second derivative of p(b) wrt b. -10 Let j(v) be the first derivative of -11*v**4/4 - 22*v**3/3 + 11. What is the third derivative of j(q) wrt q? -66 Let z(w) be the second derivative of 2*w**7/105 - w**5/15 + 2*w**2 - w. Let i(k) be the first derivative of z(k). What is the third derivative of i(h) wrt h? 96*h Suppose 8 = 3*s + s. Let k(o) be the first derivative of o + 3/2*o**2 - s. What is the derivative of k(g) wrt g? 3 Let u(z) = z - 8. Let y be (-3)/(-3) - (-7)/(-1). Let n(p) = 1. Let f(h) = y*n(h) - u(h). Find the first derivative of f(m) wrt m. -1 Let x be ((0 - -1)*4)/1. Suppose -2*z + 3*a = -5 - x, 2*z + 3*a = 3. Find the second derivative of -h - 3*h**5 + z - h**5 - 3 wrt h. -80*h**3 Let m(n) be the first derivative of -21*n**4/4 + 8*n**3 - 14. What is the third derivative of m(x) wrt x? -126 What is the first derivative of -76 + 6*m**4 + 43 + 12*m**4 wrt m? 72*m**3 Let b be (-222)/(-78) - (-2)/13. Suppose 0 = p - b - 0. Find the first derivative of p*i - 5*i + i + 1 + 3*i wrt i. 2 Let n(s) be the first derivative of 9*s**2 + 11*s + 16. What is the first derivative of n(c) wrt c? 18 Let w(r) be the second derivative of r**6/180 - r**4/24 + 5*r**3/6 + 5*r. Let b(j) be the second derivative of w(j). Differentiate b(t) wrt t. 4*t Let z be 1 - (1/(-5) - (-4)/(-5)). Let j(t) be the first derivative of 0*t**z - t**3 + 3 + 0*t - 3/4*t**4. What is the third derivative of j(i) wrt i? -18 Suppose 8*q - 3*q = 0. Suppose m + q*m = 2. What is the first derivative of 0 - w - w + m wrt w? -2 Let x(u) be the second derivative of 0*u**7 + 0*u**3 - u + 0*u**6 + 5/56*u**8 + 0*u**5 + 0*u**2 + 0 - 1/2*u**4. What is the third derivative of x(f) wrt f? 600*f**3 Let a(n) = 8*n**2 + 8 - 5*n**2 - 13*n + 2*n. Let w(f) = -2*f**2 - f + 3 + 3*f**2 - 3*f. Let z(m) = 4*a(m) - 11*w(m). Differentiate z(k) with respect to k. 2*k Let k(f) = -f**2 + f + 1. Let n(q) = -2*q - 14. Let h(w) = 2*w + 13. Let l(b) = 7*h(b) + 6*n(b). Let m(s) = 2*k(s) - l(s). What is the derivative of m(i) wrt i? -4*i Differentiate 5 + 0*p**4 + 4*p**4 + p**4 + 5 with respect to p. 20*p**3 Let v(m) be the first derivative of m**9/1008 - m**5/120 + m**3 + 1. Let l(b) be the third derivative of v(b). What is the second derivative of l(z) wrt z? 60*z**3 Suppose 0*s = -3*s + 6. What is the second derivative of 4 + q - 2*q - 4 - q**s wrt q? -2 Let q be (3 - (-5)/(-1)) + 4. Suppose 12 = q*b + b. Find the second derivative of 3*k - b*k**3 + 0*k**3 + 2*k**3 wrt k. -12*k Let m(k) = 3*k**2 - k - 1. Let z be m(2). Let w be (-10)/(-6) - (-3)/z. What is the third derivative of 0*h**2 + 2*h**w + 3*h**3 - h**2 - h**3 wrt h? 12 Let r(h) be the second derivative of -29*h**6/15 + h**5/10 + h**4/6 + 2*h**2 + 37*h - 1. What is the third derivative of r(f) wrt f? -1392*f + 12 What is the third derivative of -19*t**2 + 24*t**3 + 15*t**2 + 16*t**3 wrt t? 240 Let y(o) = -12*o**6 + 13*o**4 + 67*o**2. Let m(u) = 2*u**6 - 2*u**4 - 11*u**2. Let h(b) = 39*m(b) + 6*y(b). Find the third derivative of h(s) wrt s. 720*s**3 Let r(o) = -2*o**4 + 7*o - 10. Let u(c) = c**4 - 6*c + 10. Let k(a) = -6*r(a) - 7*u(a). Differentiate k(p) with respect to p. 20*p**3 Let b(m) be the second derivative of 2*m**6/15 - m**4 - 20*m. Find the third derivative of b(g) wrt g. 96*g Let w = 57 + -57. Let v(l) be the first derivative of 1/2*l**4 + 0*l - 1 + 3/2*l**2 + w*l**3. What is the second derivative of v(i) wrt i? 12*i Let o(r) be the third derivative of 11*r**7/210 + 7*r**5/30 - 7*r**2. What is the third derivative of o(b) wrt b? 264*b Let s(p) = -p**2 - 1. Let g(h) = -21*h**2 + 11*h - 6. Let w(i) = -g(i) + 6*s(i). Find the second derivative of w(o) wrt o. 30 Differentiate -33*v**3 - 20 + 14*v**3 + 42*v**3 wrt v. 69*v**2 Suppose 2*q + 4 = 2*x - 2, -8 = q - 2*x. Differentiate -q*k**3 + k**3 + 2*k**3 - 5*k**3 - 2 wrt k. -12*k**2 Let t(j) = 3*j + 4. Let z be t(-3). Let v = z - -9. Find the first derivative of 0 + v - r**2 - 1 - 4 wrt r. -2*r Let h(f) be the second derivative of 2/5*f**5 + 0*f**4 + 0*f**2 + 0 + 2/3*f**3 + 4*f. Find the second derivative of h(v) wrt v. 48*v Let g(h) = -3*h - 1. Let u(k) be the second derivative of k**3/6 - 3*k. Let n(c) = g(c) + 6*u(c). Differentiate n(r) wrt r. 3 Let l(r) be the first derivative of r**6/15 + 5*r**2/2 - 8*r + 3. Let m(a) be the first derivative of l(a). What is the first derivative of m(t) wrt t? 8*t**3 Let r(s) be the second derivative of -2*s + 3/2*s**2 + 0 + 1/3*s**3. What is the first derivative of r(q) wrt q? 2 Let f be (9/(-6))/((-12)/40). What is the third derivative of -20*l**4 + 20*l**4 + 2*l**f + 4*l**2 wrt l? 120*l**2 Let f(g) = 14*g**3 + 6*g**2 - 3*g. Let m(o) = 15*o**3 + 7*o**2 - 3*o. Let j(l) = -7*f(l) + 6*m(l). Find the second derivative of j(x) wrt x. -48*x Differentiate -28 - n + 8 + 3 + 5 wrt n. -1 Let u = -1 + 4. Suppose 0 = 3*c + u*r - 6, 0 = -0*c + 4*c - 3*r - 8. Find the third derivative of -2*t**2 + 0*t**2 + 3*t**c - t**3 wrt t. -6 Let z(j) be the first derivative of -16*j**5/5 + 12*j + 11. Find the first derivative of z(m) wrt m. -64*m**3 Suppose j = -0*q + 3*q - 3, 10 = 2*j + 2*q. Find the first derivative of -j*l + 2*l - 4*l + 4 wrt l. -5 Let z(f) = -f**2 + 4*f + 7. Let g be z(5). Let x = 6 - g. Find the third derivative of -2*b**4 - b**2 + 7*b**2 - 2*b**2 - b**x wrt b. -72*b Let m(a) = -29*a**2 - 6*a - 8. Let n(s) = 19*s**2 + 4*s + 5. Let k(u) = -5*m(u) - 8*n(u). Find the second derivative of k(r) wrt r. -14 Let f(s) = -s + 8. Let w be f(5). What is the third derivative of -w*o**2 + 2*o**3 + 0*o**2 + 0*o**3 wrt o? 12 Let n(w) = -w + 2. Let z be n(0). What is the third derivative of 3*b**6 - 2 + 2 - 2*b**z wrt b? 360*b**3 Let j(x) = 54*x**4 - 24*x**2 - 5*x - 5. Let q(v) = -27*v**4 + 12*v**2 + 3*v + 3. Let u(b) = -3*j(b) - 5*q(b). What is the third derivative of u(s) wrt s? -648*s Let t = -3 + -2. Let w = t - -7. Find the third derivative of w*x**2 - 2*x**3 - 4*x**3 + 3*x**3 + x**2 wrt x. -18 Let x(g) be the third derivative of -g**6/15 + 7*g**4/8 - 6*g**2. What is the second derivative of x(j) wrt j? -48*j Let g(p) = -99*p**2 - 9*p - 73. Let n(f) = 50*f**2 + 4*f + 36. Let j(r) = -4*g(r) - 9*n(r). What is the first derivative of j(i) wrt i? -108*i Let s(l) be the third derivative of -3*l**2 + 0*l**6 + 0*l**4 + 0*l + 0 + 0*l**3 - 1/70*l**7 - 1/15*l**5. What is the third derivative of s(h) wrt h? -72*h Let s(f) = 3*f**2 - 4*f - 2. Suppose 5*d + 2 = 27. Let r(w) = 7*w**2 - 9*w - 5. Let t(m) = d*s(m) - 2*r(m). What is the second derivative of t(i) wrt i? 2 Find the second derivative of -7*m**5 + m**3 - m**3 - 5*m + 11*m wrt m. -140*m**3 Suppose 3*t + 2*g - 8 = 3, -5*g = -t + 15. Let p = 7 - t. What is the third derivative of 2*s**3 - 2*s**
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 6 What is the cube root of 84840125 to the nearest integer? 439 What is 12237052 to the power of 1/2, to the nearest integer? 3498 What is the eighth root of 1362919 to the nearest integer? 6 What is 954796771 to the power of 1/2, to the nearest integer? 30900 What is the square root of 638354769 to the nearest integer? 25266 What is 609257641 to the power of 1/4, to the nearest integer? 157 What is the square root of 55421443 to the nearest integer? 7445 What is the cube root of 2739782208 to the nearest integer? 1399 What is the square root of 57735846 to the nearest integer? 7598 What is 153126288 to the power of 1/6, to the nearest integer? 23 What is 47372731 to the power of 1/2, to the nearest integer? 6883 What is the eighth root of 148262720 to the nearest integer? 11 What is the fifth root of 752181763 to the nearest integer? 60 What is 42617595 to the power of 1/2, to the nearest integer? 6528 What is 810771433 to the power of 1/3, to the nearest integer? 932 What is the cube root of 31379482 to the nearest integer? 315 What is 273756224 to the power of 1/3, to the nearest integer? 649 What is the third root of 35351527 to the nearest integer? 328 What is 116009880 to the power of 1/2, to the nearest integer? 10771 What is the tenth root of 421745436 to the nearest integer? 7 What is 19684189 to the power of 1/2, to the nearest integer? 4437 What is the ninth root of 47203278 to the nearest integer? 7 What is 3091815794 to the power of 1/3, to the nearest integer? 1457 What is the fourth root of 37989715 to the nearest integer? 79 What is 11339658 to the power of 1/9, to the nearest integer? 6 What is 1761251474 to the power of 1/3, to the nearest integer? 1208 What is the third root of 592427358 to the nearest integer? 840 What is the square root of 1038273523 to the nearest integer? 32222 What is the square root of 1164624565 to the nearest integer? 34127 What is the fourth root of 2011931429 to the nearest integer? 212 What is the cube root of 1154861148 to the nearest integer? 1049 What is the third root of 34235058 to the nearest integer? 325 What is the third root of 2495950207 to the nearest integer? 1356 What is 1882966271 to the power of 1/2, to the nearest integer? 43393 What is the seventh root of 13730062 to the nearest integer? 10 What is 106052931 to the power of 1/2, to the nearest integer? 10298 What is 1477402180 to the power of 1/3, to the nearest integer? 1139 What is 52191522 to the power of 1/9, to the nearest integer? 7 What is the seventh root of 895425109 to the nearest integer? 19 What is 394692429 to the power of 1/3, to the nearest integer? 734 What is 528534827 to the power of 1/2, to the nearest integer? 22990 What is the fifth root of 350708215 to the nearest integer? 51 What is the cube root of 1007319403 to the nearest integer? 1002 What is 139620151 to the power of 1/2, to the nearest integer? 11816 What is 51980401 to the power of 1/2, to the nearest integer? 7210 What is the seventh root of 672731798 to the nearest integer? 18 What is the seventh root of 2647584226 to the nearest integer? 22 What is 7268520647 to the power of 1/2, to the nearest integer? 85256 What is the ninth root of 84006565 to the nearest integer? 8 What is the cube root of 3284410544 to the nearest integer? 1486 What is 1043691747 to the power of 1/2, to the nearest integer? 32306 What is the cube root of 827022747 to the nearest integer? 939 What is 6495554960 to the power of 1/3, to the nearest integer? 1866 What is the square root of 277991767 to the nearest integer? 16673 What is the square root of 1394186165 to the nearest integer? 37339 What is the third root of 78600429 to the nearest integer? 428 What is 1539024760 to the power of 1/3, to the nearest integer? 1155 What is the eighth root of 337615623 to the nearest integer? 12 What is 1791458881 to the power of 1/2, to the nearest integer? 42326 What is the fifth root of 505203697 to the nearest integer? 55 What is the cube root of 3681080308 to the nearest integer? 1544 What is the tenth root of 2027155166 to the nearest integer? 9 What is 578136255 to the power of 1/4, to the nearest integer? 155 What is the cube root of 48936349 to the nearest integer? 366 What is 958789473 to the power of 1/2, to the nearest integer? 30964 What is 46429331 to the power of 1/10, to the nearest integer? 6 What is the fourth root of 258298712 to the nearest integer? 127 What is the square root of 676758944 to the nearest integer? 26015 What is the seventh root of 1865521194 to the nearest integer? 21 What is the fifth root of 47684675 to the nearest integer? 34 What is the square root of 40704239 to the nearest integer? 6380 What is the cube root of 830219064 to the nearest integer? 940 What is the sixth root of 374154009 to the nearest integer? 27 What is 12576649 to the power of 1/8, to the nearest integer? 8 What is the square root of 16229315 to the nearest integer? 4029 What is the square root of 564433874 to the nearest integer? 23758 What is the square root of 2124014560 to the nearest integer? 46087 What is 47884229 to the power of 1/2, to the nearest integer? 6920 What is the square root of 43166309 to the nearest integer? 6570 What is the third root of 4001156472 to the nearest integer? 1588 What is the square root of 19134511 to the nearest integer? 4374 What is the third root of 1463409867 to the nearest integer? 1135 What is the square root of 24505250 to the nearest integer? 4950 What is the ninth root of 1728118890 to the nearest integer? 11 What is 609589679 to the power of 1/2, to the nearest integer? 24690 What is 220688864 to the power of 1/2, to the nearest integer? 14856 What is the tenth root of 51499252 to the nearest integer? 6 What is the square root of 110789973 to the nearest integer? 10526 What is 198226876 to the power of 1/2, to the nearest integer? 14079 What is the square root of 302718999 to the nearest integer? 17399 What is 193330271 to the power of 1/6, to the nearest integer? 24 What is 214989019 to the power of 1/2, to the nearest integer? 14663 What is 107639109 to the power of 1/3, to the nearest integer? 476 What is 240189895 to the power of 1/3, to the nearest integer? 622 What is the eighth root of 329545267 to the nearest integer? 12 What is 40834540 to the power of 1/3, to the nearest integer? 344 What is the ninth root of 519607157 to the nearest integer? 9 What is the square root of 44058285 to the nearest integer? 6638 What is 29750302 to the power of 1/2, to the nearest integer? 5454 What is 73574649 to the power of 1/3, to the nearest integer? 419 What is 2336541690 to the power of 1/8, to the nearest integer? 15 What is 8675791 to the power of 1/2, to the nearest integer? 2945 What is 153910963 to the power of 1/6, to the nearest integer? 23 What is 802457265 to the power of 1/6, to the nearest integer? 30 What is 51064861 to the power of 1/4, to the nearest integer? 85 What is the fourth root of 41960911 to the nearest integer? 80 What is 137615642 to the power of 1/4, to the nearest integer? 108 What is 276679998 to the power of 1/3, to the nearest integer? 652 What is 27008439 to the power of 1/2, to the nearest integer? 5197 What is 533913159 to the power of 1/3, to the nearest integer? 811 What is 49524519 to the power of 1/6, to the nearest integer? 19 What is the third root of 1560761945 to the nearest integer? 1160 What is 467824051 to the power of 1/9, to the nearest integer? 9 What is the third root of 298115131 to the nearest integer? 668 What is the seventh root of 787401010 to the nearest integer? 19 What is the third root of 77525013 to the nearest integer? 426 What is 483603171 to the power of 1/4, to the nearest integer? 148 What is the square root of 6879546 to the nearest integer? 2623 What is the tenth root of 28207623 to the nearest integer? 6 What is the cube root of 815858792 to the nearest integer? 934 What is the fourth root of 64756656 to the nearest integer? 90 What is the third root of 1409086667 to the nearest integer? 1121 What is the cube root of 33498524 to the nearest integer? 322 What is the square root of 2456704674 to the nearest integer? 49565 What is 527398420 to the power of
{ "pile_set_name": "DM Mathematics" }
s are there between 10:22 PM and 8:56 AM? 634 How many minutes are there between 6:12 AM and 4:11 PM? 599 What is 286 minutes after 2:17 AM? 7:03 AM What is 252 minutes after 9:39 PM? 1:51 AM What is 697 minutes before 8:43 AM? 9:06 PM What is 204 minutes before 7:36 AM? 4:12 AM How many minutes are there between 7:16 AM and 5:25 PM? 609 What is 67 minutes before 4:28 PM? 3:21 PM How many minutes are there between 10:30 AM and 2:44 PM? 254 What is 630 minutes after 9:04 AM? 7:34 PM How many minutes are there between 7:53 AM and 9:40 AM? 107 How many minutes are there between 9:13 AM and 11:20 AM? 127 What is 398 minutes before 7:02 PM? 12:24 PM How many minutes are there between 5:34 AM and 6:24 AM? 50 What is 597 minutes before 9:05 PM? 11:08 AM What is 136 minutes after 2:08 PM? 4:24 PM What is 244 minutes before 9:59 AM? 5:55 AM How many minutes are there between 10:37 AM and 9:57 PM? 680 What is 35 minutes after 12:26 PM? 1:01 PM What is 576 minutes before 1:58 PM? 4:22 AM What is 687 minutes before 11:20 PM? 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662 How many minutes are there between 9:53 AM and 2:04 PM? 251 How many minutes are there between 9:20 PM and 4:57 AM? 457 What is 359 minutes before 8:08 PM? 2:09 PM How many minutes are there between 9:49 AM and 8:14 PM? 625 How many minutes are there between 9:50 AM and 7:06 PM? 556 How many minutes are there between 10:23 PM and 11:03 PM? 40 What is 209 minutes before 7:35 PM? 4:06 PM How many minutes are there between 4:02 PM and 5:46 PM? 104 What is 141 minutes after 6:34 AM? 8:55 AM What is 467 minutes after 12:26 AM? 8:13 AM How many minutes are there between 8:39 AM and 4:16 PM? 457 How many minutes are there between 2:08 PM and 1:15 AM? 667 What is 337 minutes after 2:15 PM? 7:52 PM What is 126 minutes after 12:07 PM? 2:13 PM What is 462 minutes after 7:53 PM? 3:35 AM What is 702 minutes after 8:03 PM? 7:45 AM What is 123 minutes before 5:25 AM? 3:22 AM How many minutes are there between 2:53 PM and 1:16 AM? 623 How many minutes are there between 5:00 AM and 7:34 AM? 154 What is 25 minutes before 5:22 PM? 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670 How many minutes are there between 2:08 PM and 9:07 PM? 419 What is 611 minutes after 1:37 AM? 11:48 AM How many minutes are there between 5:15 AM and 4:55 PM? 700 How many minutes are there between 5:44 PM and 12:18 AM? 394 How many minutes are there between 3:50 PM and 5:45 PM? 115 What is 679 minutes after 7:10 PM? 6:29 AM What is 111 minutes after 9:17 AM? 11:08 AM What is 2 minutes before 4:36 PM? 4:34 PM What is 525 minutes after 10:18 AM? 7:03 PM How many minutes are there between 2:35 PM and 5:59 PM? 204 What is 160 minutes after 6:02 AM? 8:42 AM What is 252 minutes before 12:02 AM? 7:50 PM What is 166 minutes before 3:22 AM? 12:36 AM What is 155 minutes before 7:42 AM? 5:07 AM How many minutes are there between 3:47 PM and 9:41 PM? 354 What is 414 minutes before 4:08 AM? 9:14 PM How many minutes are there between 1:00 PM and 10:30 PM? 570 How many minutes are there between 7:25 AM and 9:40 AM? 135 What is 715 minutes before 10:24 AM? 10:29 PM What is 176 minutes before 9:14 PM? 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304 What is 159 minutes before 5:07 PM? 2:28 PM What is 586 minutes before 6:35 PM? 8:49 AM What is 547 minutes after 4:16 AM? 1:23 PM What is 51 minutes after 3:23 AM? 4:14 AM What is 538 minutes after 5:23 PM? 2:21 AM What is 468 minutes before 5:59 PM? 10:11 AM How many minutes are there between 4:46 PM and 4:55 PM? 9 How many minutes are there between 2:55 AM and 11:32 AM? 517 How many minutes are there between 7:07 AM and 1:23 PM? 376 How many minutes are there between 1:31 PM and 5:56 PM? 265 What is 211 minutes after 4:22 AM? 7:53 AM How many minutes are there between 8:48 AM and 6:32 PM? 584 What is 401 minutes after 10:33 AM? 5:14 PM What is 25 minutes before 7:38 AM? 7:13 AM How many minutes are there between 12:57 AM and 12:19 PM? 682 What is 445 minutes after 1:21 PM? 8:46 PM What is 67 minutes after 5:44 PM? 6:51 PM What is 159 minutes before 10:02 PM? 7:23 PM What is 96 minutes after 7:24 PM? 9:00 PM How many minutes are there between 11:59 PM and 9
{ "pile_set_name": "DM Mathematics" }
. -7 Let g(y) = 3*y - 6 - 3*y + y**2 + y**3. Let u = -3 + 3. Calculate g(u). -6 Let c(w) = w. Let l(u) = -u**2 + 5*u - 3. Let q be l(2). Let o(b) = 5 - 4 + q - b**2 + 8*b + 0*b**2. Let d(v) = 2*c(v) - o(v). Give d(5). -9 Let o(u) = -6*u**3 - u**2 + 11*u + 9. Let f = 4 - 10. Let w(r) = -7*r**3 - 2*r**2 + 12*r + 10. Let x(l) = f*o(l) + 5*w(l). Calculate x(5). -9 Let z(w) = -w**2 - 7*w - 7. Suppose -1 - 7 = -4*h - 4*v, -6 = h - 3*v. Suppose h*s - 12 = 2*s. Give z(s). -1 Let c = -6 + 9. Let q(i) = i + 3*i**2 - 2*i**3 + 0*i - 2 + 3*i**c. Let p = 1 + -4. Determine q(p). -5 Suppose -2*f - 3*f + 20 = 0. Suppose -7*m + 3*m + 8 = 0. Let v(g) = m - 2 + g. Determine v(f). 4 Let w(o) = -7*o**3 + o**2 - 4. Suppose 7*s - 3*l + 18 = 4*s, 0 = -4*s - 3*l + 11. Let f(y) = y**3 - y**2 + y + 1. Let z(p) = s*w(p) - 6*f(p). Determine z(-6). -2 Let w be (-4 + 2)*1/2. Let a be 2/w - 1 - -8. Let m(p) = -p**2 + 5*p - 1. What is m(a)? -1 Let k(p) = -p. Let q = -1 + 5. Suppose q*y = -c + 1 - 3, 5*y - 6 = 3*c. Calculate k(y). 0 Let u(m) = -6*m + 0*m - 3*m**3 + 4*m**3 - 2*m**2 + 0*m**3. Let w(l) = -2*l**3 + 5*l**2 + 12*l - 1. Let i(v) = -13*u(v) - 6*w(v). Give i(-5). 1 Let g(d) = -d**3 - 5*d**2 - 7*d + 1 - 2*d**2 + 0*d**3. Give g(-5). -14 Let z(w) = -w + 11. Let r be (2 - (-33)/(-18)) + (-70)/(-12). Give z(r). 5 Let s(p) be the second derivative of -13*p**4/12 - p**3/2 + p**2/2 - 8*p. Let o(m) = -25*m**2 - 5*m + 2. Let d(c) = -4*o(c) + 7*s(c). Give d(-1). 9 Let q(v) = v**2 - 3*v + 5. Let n = -105 - -110. What is q(n)? 15 Let h(k) = k**2 - 6*k - 4. Let g = -8 + 16. Suppose p + 2 = g. Calculate h(p). -4 Let m(l) = -l**3 + 4*l**2 + 6*l + 3. Let x be m(5). Let i = x + -5. Let f(y) be the first derivative of y**3/3 - y**2/2 - 2*y + 1. Give f(i). 4 Let v(w) be the first derivative of -w**4/4 + 5*w**3/3 + 3*w**2 + 6*w - 5. Let t = -4 + 3. Let i = 5 - t. Give v(i). 6 Suppose 0 + 0 = -2*y. Let g(w) be the third derivative of 0 - 1/6*w**4 - 1/6*w**3 + y*w + 2*w**2 - 1/120*w**6 + 1/12*w**5. What is g(3)? 5 Let s(i) = i**3 - 9*i**2 + 9*i - 10. Suppose 0 = 7*z - 0*z - 56. Determine s(z). -2 Let r(z) = -4*z**2 + 1. Let c(b) = 5*b + 24. Let w be c(-5). Calculate r(w). -3 Let b = 12 - 4. Suppose -b + 0 = -4*i. Let a(l) = -4*l + 2*l**2 + 2*l**2 + 2 - l**i. What is a(2)? 6 Let l(v) = 3*v**2 - 15*v + 15. Let s(n) = n**2 - 5*n + 5. Let k(u) = 6*l(u) - 17*s(u). Suppose 9 = -f + 4*f - 3*z, 0 = 2*f + 3*z - 11. Give k(f). 1 Let x(s) be the third derivative of s**4/6 - s**3/3 - s**2. Suppose -19*v = -14*v - 10. What is x(v)? 6 Let o(z) = 2*z. Let h be o(0). Let c(k) = -k**3 - 3 + 7*k**2 + h*k**3 - 11*k**2 + 3*k**3. Determine c(3). 15 Let f(k) = -k - 1. Suppose -4 = 2*r - 0*r. Let x be (-3)/(r*12/40). Give f(x). -6 Let g(p) be the third derivative of -p**6/120 + p**5/15 - p**4/8 + 2*p**3/3 - 2*p**2 + 44*p. What is g(4)? -8 Let g(r) be the first derivative of r + 0*r**2 - 1/3*r**3 - 3. What is g(3)? -8 Let t(d) = 2*d - 12. Let w be t(3). Let n(s) = -1. Let i(z) = -z**2 - 6*z + 6. Let f(p) = -i(p) - 4*n(p). Give f(w). -2 Let u = 13 + -3. Let i be 19/7 + u/35. Let c(d) = -2*d + i - 6*d - 4. Determine c(-1). 7 Let v(l) be the first derivative of -l**4/4 + 4*l**3/3 - l**2/2 - l - 2. Suppose -2 = u - 5. Suppose -5*x + u*k = -30, -2*x + 5*k = x - 34. Give v(x). 5 Let t(o) be the second derivative of o**2 - 2/3*o**3 + 0 - 4*o. Give t(3). -10 Let y(s) = s**2 + 4*s - 5. Let m be 4/22 - (-42)/11. Suppose 3*f + 4*v + 8 = 0, -f - 2*v - m = 2. Suppose f*p = -q + 4, 3*q + 20 = -q + 2*p. Give y(q). -5 Let v(i) = -i. Suppose 0 = -l - 2*l. Suppose 5*m + 12 = -p - l, 0 = -5*p - m + 12. Calculate v(p). -3 Let i(h) be the first derivative of -11*h**2/2 - 93. Suppose -5*y + 7 - 2 = 0. Give i(y). -11 Let y(l) = 4*l - 4 + l - 2*l**2 + 0 + 7*l**2. Let a(v) = 11*v**2 + 10*v - 9. Let n(q) = 4*a(q) - 9*y(q). What is n(-5)? 0 Suppose 0 = -5*l - 5*b + 44 + 1, -4*b = -l + 34. Let r be 22/(-2) + l + -10. Let i(u) = u**3 + 8*u**2 + 7*u - 7. What is i(r)? -7 Suppose 5*k = -s + 3*s + 16, 3*k = -4*s + 20. Suppose s*o + 5 - 3 = 0. Let c(q) = -2*q + 1. Calculate c(o). 3 Let r(y) = -1 - 8 + 6 - 2*y. Give r(-2). 1 Let h be 0/(1 + 2/2). Suppose -2*j - 2*n - 6 = h, 3*n - 1 = -5*j - 20. Let y(u) = u**2 + 5*u + 1. Give y(j). 1 Let j(d) be the first derivative of -d**5/20 - d**4/12 + d**3/6 - d**2/2 - 3. Let o(b) be the second derivative of j(b). Calculate o(1). -4 Let g(c) = -c**2 - 1. Let i = 19 - 31. Let j be ((-18)/(-4))/((-9)/i). Let x(m) = 5*m**2 - 3*m + 12. Let r(l) = j*g(l) + x(l). Determine r(-5). -4 Let w(f) = -f**2 + 2*f + 3. Let k(a) = -40 + a + 40. Let i be k(6). Let g be 1*-4*(-6)/i. Calculate w(g). -5 Let z(o) = 2*o**3 - o**2 - 5*o + 4. Let s be z(2). Let v(p) = p**2 - 8*p + 4. What is v(s)? -8 Let l(d) = d**2 + 6*d - 4. Let i be l(-7). Let w(s) = -s + 2*s + i - 2*s + 4. Give w(0). 7 Let m(i) be the first derivative of i**4/4 + 2*i**2 + 3*i + 6. Give m(-2). -13 Let p(b) be the third derivative of -b**7/840 + b**6/360 + b**5/120 - b**4/8 + b**2. Let y(t) be the second derivative of p(t). Calculate y(-1). -4 Let z be 9/2 + (-6)/4. Let q(h) = h - 5. Calculate q(z). -2 Let r(p) be the first derivative of p**4/4 + 5*p**3/3 - 7*p**2/2 - 2*p - 1. Suppose 5*m = -24 - 6. What is r(m)? 4 Let m be ((-8)/(-20) + 0)*10. Let y(b) = -m - 2*b**2 + 2 - b - b + 3. What is y(-2)? -3 Let b(w) = -w**2 + 4*w - 1. Let j(o) = -1. Let x(l) = -b(l) - 2*j(l). Let c be x(4). Let y(h) = -h**3 + 2*h**2 + h - 1. Determine y(c). -7 Let m(u) be the third derivative of -u**4/24 + 4*u**3/3 + 6*u**2. Determine m(4). 4 Suppose 3*q + 5 + 10 = 2*o, 4*o - 3 = -3*q. Let a(n) = n**3 - 8*n**2 - 8*n - 7. Let y be a(9). Let t(i) = i**y + 1 - 2*i**2 - 2 + i. What is t(o)? -7 Let i(h) = -h**3 - h - 5. Let b = 47 - 47. Give i(b). -5 Let g(k) = k + 6. Suppose -u + 6*u = 15, 0 = -2*t + 2*u - 6. Suppose -4*x - 5*f + 14 = t, 30 = 5*x - 4*f - 8. Suppose x*s = 9*s. What is g(s)? 6 Let n = -6 + 10. Let h(m) = 3*m**3 + 5*m**2 - 2*m + 7. Let r(s) = -7*s**3 - 10*s**2 + 3*s - 15. Let l(o) = 9*h(o) + 4*r(o). Calculate l(n). -5 Let u = 6 - 6. Let z(o) be the second derivative of -o - 1/2*o**3 + 2*o**2 - 1/12*o**4 + u. Determine z(-5). -6 Let x(c) = c**3 - c**2 - c + 2. Let l = 18 + -13. Let m be 4*((-10)/(-4))/l. What is x(m)? 4 Let f(n) = -n**2 - 23*n - 49. Let j be f(-21). Let b(m) = -m**2 - 10*m - 5. What is b(j)? 16 Let j(f) = f**3 + f**2 - f + 1. Let s(c) = 2*c**3 - c**2 + 2*c + 7. Let q(k) = 3*j(k) - s(k). Calculate q(-5). -4 Suppose -5*n = 2*d - 43, 2 = -3*n - 5*d + 43. Let a = 7 - n. Suppose a = 5*f + 5. Let s(b) = 3*b + 1. Calculate s(f). -2 Let c(n) be the second derivative of -n**3/2 + 10*n**2 - 6*n. Let f be c(8). Let z(p) = p**2 + 4*p + 6. Give z(f). 6 Let t(a) be the first derivative of -a**4/12 + 2*a**3/3 + 4*a**2 - 3*a - 2. Let h(v) be the first derivative of t(v). What is h(6)? -4 Let b(n) = 4*n + 3 - 2*n - n + 5*n. What is b(-3)? -15 Let f(m) = -m - 3. Let d(z) = -2*z - 7. Let i(y) = -6*d(y) + 13*f(y). Suppose 0 = 4*k + 4 - 24. Suppose 0 = k*q - 15 - 10. What is i(q)? -2 Let m(i) = i + 1. Let u(v) = -v**2 + 4*v - 5. Let g(x) = 2*m(x) + u(x). Suppose -5*l - r + 13 = 0, 1 + 0 = -l + r. Let b be (3/l)/((-15)/(-50)). What is g(b)? 2 Let t(m) be the first derivative of m**4/4 - 8*m**3/3 + 9*m**2/2 + 7*m - 5. Calculate t(7). 21 Suppose -3*p + p - 4*i = -10, 3*i = -p + 2. Let w(l) = -6*l**2. Let z(d) = -d**2. Let o(s) = p*z(s) - 2*w(s). What is o(1)? 1 Suppose -2*s - 6 + 10 = 0. Let o = 0 - -2. Suppose 0 = s*n - 0*n + o. Let w(k) = -3*k**2. Give w(n). -3 Let o(k) = -16*k**2 - 2*k**3 - 3 + 10*k**2 + 6*k + 4*k**3 - k**3. Calculate o(5). 2 Let o(m) be the third derivative of -1/120*m**6 + 1/12*m**5 - 5/24*m**4 + 0*m + 0 + 5/6*m**3 + 2*m**2. Suppose 5*y = -5, -2*k + 5*k = 2*y + 14. Calculate o(k). 1 Let m(v) = -v**2 + 4*v + 4. Let w be m(4). Let u(g) = -w + g + 3 - 2. What is u(6)? 3 Let g(u) be the third derivative of -u**6/120 + u**5/60 + u**4/8 - u**3/2 + 15*u**2. Calculate g(2). -1 Let f(s) = s**2 + s + 7. Let g(u) = -u - 13. Let d be g(-13). Calculate f(d). 7 Let u(s) = s**2 + 4*s + 1. Let x(w) = -2*w + 0*w - 2*w + w**2 - 2*w**2. Let z(m) = -2*u(m) - 3*x(m). Give z(-5). 3 Let g(u) = -32*u + 18*u + u**2 + 10*u. Let t = 0 + 5. What is g(t)? 5 Let f(s) be the third derivativ
{ "pile_set_name": "DM Mathematics" }
. Let x(i) be the third derivative of -i**5/60 - 9*i**2. Give x(u(k)). -4*k**2 + 484*k - 14641 Let o = -239 - -165. Let j = o - -77. Let m(n) = j*n + 8*n + 14*n. Let g(b) = -b**2. What is m(g(l))? -25*l**2 Let q(t) = 6*t**2. Let r(y) = 7*y**2 - y - 62692. Give r(q(c)). 252*c**4 - 6*c**2 - 62692 Let z(p) = p + 10*p - 4*p - 3*p - 3*p. Let t(l) = 2*l - 171. Calculate z(t(d)). 2*d - 171 Let l(m) = -76*m - 47*m + 161*m - 41*m - 45*m. Let z(a) = 136*a**2. Calculate l(z(d)). -6528*d**2 Let c be 201 + -4 + -1 + 6 + -5. Let r(k) = -422*k + c*k + 189*k. Let u(w) = -5*w. What is r(u(f))? 180*f Let x(g) = 8*g. Let u(n) be the third derivative of -5*n**5/3 + n**4/6 - 67*n**2 - 12*n. Determine u(x(p)). -6400*p**2 + 32*p Let k(l) = -115*l - 58. Let g(f) = 72*f + 39. Let b(t) = 8*g(t) + 5*k(t). Let m(c) = 64*c**2. Give b(m(u)). 64*u**2 + 22 Let k(f) = -59541*f - 1561. Let o(j) = 229*j + 6. Let z(q) = -6*k(q) - 1561*o(q). Let b(x) = -5*x**2. Calculate z(b(t)). 1115*t**2 Let t(v) = -v**3 - 3*v**2 + 10*v + 4. Suppose -5 = i - 0*i. Let z be t(i). Let h(l) = 0*l + 61 - z*l - 61. Let y(x) = -4*x. Give h(y(d)). 16*d Let k(d) = -4*d**2. Suppose 5*h - 209 = -3*g, -h = -g + h + 55. Let l(z) = -z**2 - 13*z - 16. Let o be l(-7). Let c(b) = g*b - 33*b - o*b. Give k(c(j)). -64*j**2 Let w(t) = 2*t**2. Let m(b) = -2 - 47*b + 17*b - 203*b + 10*b - 104*b. Calculate w(m(l)). 213858*l**2 + 2616*l + 8 Let t(m) = 142143*m. Let j(w) = -26*w. Give t(j(a)). -3695718*a Let s(i) = 4*i + 959343. Let f(u) = -u. Determine f(s(a)). -4*a - 959343 Let g(q) be the second derivative of -1/6*q**3 + 0*q**2 - 2*q + 7/3*q**4 + 2. Let w(r) = r. Determine g(w(f)). 28*f**2 - f Let v(k) = 8*k - 166. Let d(x) be the third derivative of -x**4/4 + 37*x**3/2 + x**2 + 8. Let r(n) = 7*d(n) + 5*v(n). Let p(y) = -y. Determine r(p(t)). 2*t - 53 Let m(n) = 161214*n. Let c(g) = -2*g - 2. What is c(m(u))? -322428*u - 2 Let u(j) = -64*j**2 + 16*j. Let o(i) = 21*i**2 - 5*i. Let m(r) = -13*o(r) - 4*u(r). Let a(k) = -36*k**2. What is m(a(x))? -22032*x**4 - 36*x**2 Let m(a) = -6*a. Let c(p) = 86*p + 7828. Determine c(m(o)). -516*o + 7828 Let p(z) = -2*z. Let h(a) = -6415*a**2 + 8*a - 4. Let c(l) = -12829*l**2 + 14*l - 7. Let r(v) = -4*c(v) + 7*h(v). Determine r(p(o)). 25644*o**2 Let c(x) = -127221*x**2. Let i(l) = -116*l. Give i(c(r)). 14757636*r**2 Let d(b) = -3*b. Let t(q) = 21 - 4 + 424*q - 17. Give d(t(c)). -1272*c Let t(x) = 4*x + 197. Let i(m) = -1859*m**2 - 5. Give t(i(h)). -7436*h**2 + 177 Let q(x) = -414*x**2. Let o(d) = 276187*d. Determine q(o(j)). -31579613213166*j**2 Let v(c) be the second derivative of -515*c**4/3 - 156*c + 4. Let d(f) = -2*f**2. What is d(v(r))? -8487200*r**4 Let r(n) = -3*n**2. Let g(a) = 4*a**2. Let q(c) = 2*g(c) + 4*r(c). Let l = 137 - 134. Let t(k) = -10*k + 11*k - l*k. Determine q(t(m)). -16*m**2 Let j(y) = -245*y**2 + 3. Let x(f) = -3*f**2 - 5*f - 11. Give x(j(q)). -180075*q**4 + 5635*q**2 - 53 Let b(i) = -1070*i + 243. Let f(x) = -267*x + 54. Let d(z) = -2*b(z) + 9*f(z). Let k(l) = -5*l**2. Calculate k(d(g)). -345845*g**2 Let q(d) = 16*d**2 - 4*d - 94. Let g(y) = y - 408. Calculate q(g(t)). 16*t**2 - 13060*t + 2664962 Let s(a) = 12*a**2 + 1. Let q(h) = -18529*h. Determine q(s(y)). -222348*y**2 - 18529 Let g(k) = -29*k - 24863. Let h(u) = u. Give h(g(m)). -29*m - 24863 Let u(r) = r**2. Let n(p) = -805*p + 39588. Give n(u(k)). -805*k**2 + 39588 Let s(f) = -3*f. Let b(u) = 13*u + 16. Let q be 2/((-8)/17) - (-3)/12. Let r(g) = q*s(g) - b(g). Let p(k) = -k. Calculate p(r(w)). w + 16 Let l(o) = o**2. Let n(y) be the second derivative of 526*y**4/3 + 2*y + 559. Calculate l(n(f)). 4426816*f**4 Let y(b) = -b**2 + 10*b - 13. Let q be y(8). Let m be 2460/45*q/2. Let h(l) = -21*l + m - 82. Let x(v) = v**2. What is h(x(r))? -21*r**2 Let y(d) = -d. Let w(q) = -991093781*q. Give y(w(o)). 991093781*o Let f(p) = -3*p**2. Let x be 10/(-2) + -24 - 5. Let g = x - -34. Let o(u) = 11*u - 4*u + u + g*u. Calculate o(f(v)). -24*v**2 Let s(k) = 26*k. Let f(b) = -55*b. Let t(w) = 2*f(w) + 5*s(w). Let u(h) = -3*h - 1439 + 1439. What is t(u(l))? -60*l Let s(q) = -q. Let l(c) = c. Let y(k) = 5*l(k) + 4*s(k). Let v(t) be the second derivative of -40*t + 59/6*t**3 + 3 + 0*t**2. What is v(y(b))? 59*b Let u(v) be the first derivative of -2*v**3/3 - 5. Let m = -29 - -31. Let p(h) = 3*h + 15*h - m - 6*h. Determine p(u(t)). -24*t**2 - 2 Let q(x) = 14*x**2 + 47*x**2 - 21*x**2. Let s(i) be the second derivative of -i**4/4 - 56066*i. Calculate s(q(w)). -4800*w**4 Suppose 323 = 9*q - 217. Let a(m) = 21*m**3 + m**2. Let c be a(1). Let n(l) = q*l - 24*l - c*l - 23*l. Let b(t) = -3*t. Calculate b(n(w)). 27*w Let z(m) = 57*m. Let q = -147 + 149. Let j(o) = 2 + q - 4 + o**2. Calculate j(z(r)). 3249*r**2 Let d(o) = 24*o + 11. Let q(y) = 13*y + 6. Let p(s) = 6*d(s) - 11*q(s). Let w(m) = 12*m**2 + 28*m. What is p(w(k))? 12*k**2 + 28*k Let q(m) = 11*m**2 - 22*m + 6. Suppose 3 = -3*y, 4*x + 40 = 7*x - y. Let t(b) = -24*b**2 + 46*b - 13. Let w(p) = x*q(p) + 6*t(p). Let r(c) = c**2. Give w(r(h)). -h**4 - 10*h**2 Let n(h) = 19109*h**2 - 591*h + 1379. Let o(u) = 195*u**2 - 6*u + 14. Let j(q) = -2*n(q) + 197*o(q). Let f(y) = 2*y**2. Give j(f(x)). 788*x**4 Suppose 0 = -11*x + 14*x. Suppose -5*w + 5 + 0 = x. Let k(f) = -1 - 26*f + 33*f + w. Let r(d) = 2*d. Determine r(k(s)). 14*s Suppose -5*s + 574 = -1756. Let j(n) = 466 - s - 2*n. Let q(t) = 8*t**2 - 10 - 4 + 14. Give j(q(r)). -16*r**2 Let w(i) = -2*i**2. Let b(l) = 70*l**2 + 352*l - 2. Calculate b(w(v)). 280*v**4 - 704*v**2 - 2 Let v(x) = 707306*x. Let t(f) = -3*f + 14. Give v(t(a)). -2121918*a + 9902284 Let t(p) = -2*p**2. Let v = -383 - -388. Let m(q) = -5 - 16*q**2 - 10*q**2 + v. Give m(t(s)). -104*s**4 Let v(u) = 8*u**2. Let l(h) = -245040*h. Give l(v(d)). -1960320*d**2 Let x(s) = -16*s**2. Let o(a) = -61*a**2 + 59*a + 6. Let l(m) = -71*m**2 + 58*m + 7. Let z(g) = 6*l(g) - 7*o(g). Calculate z(x(w)). 256*w**4 + 1040*w**2 Let i(w) = -15236*w + 7594*w + 7638*w. Let j(z) = 2*z**2 + 1720*z. Give j(i(q)). 32*q**2 - 6880*q Let f(n) = -2*n - 4581 + 2287 + 2294. Let t(i) be the second derivative of -i**7/2520 - i**4/12 + 5*i. Let u(l) be the third derivative of t(l). Give f(u(x)). 2*x**2 Let y(h) = 139*h. Let o(z) be the first derivative of -5*z**3/3 - 1960. Calculate o(y(c)). -96605*c**2 Let a(j) = 369541*j - 1. Let n(k) = 7*k**2. Calculate a(n(r)). 2586787*r**2 - 1 Let y(k) = 2*k**2. Suppose 4*o + 4*z - 144 = 0, 0*o = -5*o + z + 156. Let t(m) = 33*m**2 - 1. Let h be t(1). Let c(b) = 3*b - 14*b + h - o. What is c(y(u))? -22*u**2 Let v(m) = m**2. Let n(l) = -25573870*l. What is v(n(i))? 654022826776900*i**2 Let f(z) = 6*z**2 + 22. Let n(q) = 2*q**2 + 2*q**2 - 41*q**2 + 6*q**2 + 22*q**2. Give f(n(b)). 486*b**4 + 22 Let u(k) = k**2. Let t(d) = 6*d. Let x(z) = 100 - 100 - 12*z - 26*z. Let m(q) = 39*t(q) + 6*x(q). Give u(m(a)). 36*a**2 Let h(r) = 83*r + 48. Let s be h(12). Let o be 1042 - (-4 - -2 - 0). Let d(i) = o - s - 40*i**2. Let v(m) = 2*m**2. Give v(d(q)). 3200*q**4 Let u(n) = 63704*n**2 + 3*n + 2. Let f(x) = x. Calculate u(f(v)). 63704*v**2 + 3*v + 2 Suppose -4 = -5*u - 4*q + 6, u + q - 2 = 0. Let j(k) = -u*k + 3*k - 20*k. Let y(t) = 4*t**2. Calculate y(j(s)). 1444*s**2 Let a(u) = 9744*u. Let j(t) = 107*t. Calculate j(a(h)). 1042608*h Let j(a) = -2*a. Let v(s) = 4*s**2 - 36016217*s. Give v(j(x)). 16*x**2 + 72032434*x Let i(h) = 3*h**2 - 2*h**2 + 2*h**2. Suppose -4*s = 2*t - 9*s - 25, s + 20 = t. Let r(x) = -20*x + 5 + t*x - 7*x - 5. What is i(r(o))? 12*o**2 Let j(a) = 2*a**2. Let h(y) = -202298412*y. Calculate h(j(v)). -404596824*v**2 Let h(v) = v**2 + 11*v + 30. Let j be h(-5). Let g(q) = q + 0*q - 15 + 15 + j*q. Let y(m) = -14*m - 5. Determine g(y(s)). -14*s - 5 Let g(l) be the second derivative of -l**4/4 - 1882*l. Let a(q) = -386*q. What is g(a(y))? -446988*y**2 Let r(y) = -627*y**2. Let z(v) = 98 - 48 - 50 + 9*v**2 - 12*v**2. Determine z(r(l)). -1179387*l**4 Let u(x) = -x**3 - x**2 + x. Let b be u(-2). Let f(m) = -62*m + 131*m - m**b - 69*m. Let t(i) = -4*i**2 + 11*i**2 + 0*i**2. What is t(f(c))? 7*c**4 Let z(j) = -19*j. Let q(v) = -2*v**2 + 94168*v. What is q(z(c))? -722*c**2 - 1789192*c Let h(w) be the first derivative of -2*w**3/3 - 34752. Let d(i) = 9*i + 2 - 3*i - 3. Det
{ "pile_set_name": "DM Mathematics" }
ect the terms in -19*l + 41*l + 17*l**2 + 55*l**2 - 29*l - 13*l**2. 59*l**2 - 7*l Collect the terms in 23276*s - 7805*s + 1 - 7765*s - 7764*s - 1. -58*s Collect the terms in 101*o - 10 + 4 + 7 - 4 + 90*o - 192*o. -o - 3 Collect the terms in -2*l - 65187*l**3 - 65195*l**3 + 195513*l**3 - 65206*l**3. -75*l**3 - 2*l Collect the terms in 1324 - 1643 + 336 - z**2. -z**2 + 17 Collect the terms in 218221*w - 436454*w + 218234*w. w Collect the terms in -6*w + 6 + 6*w - 5212*w**2 - 2*w. -5212*w**2 - 2*w + 6 Collect the terms in -163*o**2 + 327*o**2 - 2 - 585*o**3 - 168*o**2 - 2. -585*o**3 - 4*o**2 - 4 Collect the terms in 121 + 103 - 48*r - r - 34*r - 4*r - 229. -87*r - 5 Collect the terms in -89*k + 3099 + 3090 + 3097 + 3098 - 12384. -89*k Collect the terms in -5797204*o + 11 - 6 + 5797014*o. -190*o + 5 Collect the terms in 6148453872*g**2 - 18*g**3 - 6148453872*g**2. -18*g**3 Collect the terms in -423*g**2 - 540*g**2 + 831*g**2. -132*g**2 Collect the terms in 0 + 91547*s - 91547*s + 0 + 345*s**3 + 0. 345*s**3 Collect the terms in 2784*y**2 - 597362 + 597362. 2784*y**2 Collect the terms in -254239 + 254239 - 463*s**2. -463*s**2 Collect the terms in 0 + 2 - 3 + 3 - 4 + 11*h - 546*h**2. -546*h**2 + 11*h - 2 Collect the terms in -34307616*u**3 + 34307614*u**3 + 74*u**2 + 17*u**2. -2*u**3 + 91*u**2 Collect the terms in -54*j + 42 + 50*j + 52 - 152 + 4 + 48. -4*j - 6 Collect the terms in 694*n**3 - 131*n**3 - 176*n**3 - 170*n**3 - 168*n**3 + 2*n. 49*n**3 + 2*n Collect the terms in 3526229887*k - 3526229887*k - 10*k**3. -10*k**3 Collect the terms in -1177247*j**3 + 3046500*j**3 - 182759*j**3 + 2201778*j**3. 3888272*j**3 Collect the terms in 2 - 78*b**2 - 76*b**2 - 128*b**3 + 10*b + 160*b**2. -128*b**3 + 6*b**2 + 10*b + 2 Collect the terms in 2326*a**2 + 2 + 2340*a**2 + 1704*a**2 - 2 - 6372*a**2. -2*a**2 Collect the terms in 2151993*s**2 - 4300495*s**2 + 2148500*s**2 + 0 + 0. -2*s**2 Collect the terms in 5869152*w**2 + 5871062*w**2 - 11740215*w**2. -w**2 Collect the terms in -905*f**2 + 700*f**2 + 765*f**2. 560*f**2 Collect the terms in 4*k + 142 + 254*k**2 - 5*k - 49*k**2 + k. 205*k**2 + 142 Collect the terms in 1168*x**2 + 754*x**2 - 2651*x**2. -729*x**2 Collect the terms in 295*q + 15418 + 15473 - 30891. 295*q Collect the terms in -17 - 6*y + 66*y - 5 + 8 - 6. 60*y - 20 Collect the terms in 13815 + 70529 + 0*w - w. -w + 84344 Collect the terms in -2*g**2 + 3*g**2 - 604 - 62. g**2 - 666 Collect the terms in -114*z**2 - 87*z**2 - 49*z**2 + 50*z**2. -200*z**2 Collect the terms in 3678*w**3 + 589*w**3 - 512*w**3 - 81*w**3. 3674*w**3 Collect the terms in -26*c - 4*c - 199*c - 12*c + 232*c. -9*c Collect the terms in 27*v - 53*v - 8201595 + 8201596. -26*v + 1 Collect the terms in 3423*j**2 - 1304*j**2 - 1099*j**2 - 1256*j**2. -236*j**2 Collect the terms in -1921183273 + 1921183273 + g**3. g**3 Collect the terms in 658*b**2 + 583*b**2 + 572*b**2 - 2389*b**2 + 573*b**2. -3*b**2 Collect the terms in -184*g - 171 + 664*g + 333 - 194. 480*g - 32 Collect the terms in -8479090*f**2 + 29*f**3 - 79*f**3 + 8479090*f**2 - 3 + 3. -50*f**3 Collect the terms in 148*l**2 + 120*l**2 + 29*l**3 - 2 + 104*l**2 - 485*l**2 + 113*l**2. 29*l**3 - 2 Collect the terms in -4564034*y - 16201675*y + 2243528*y. -18522181*y Collect the terms in 237*x**2 - 160*x**2 - 8*x**2 - 27*x**2 - 29*x**2 - 20*x**2 - 28*x**2. -35*x**2 Collect the terms in -135*l - 141118 + 141115 + 4*l. -131*l - 3 Collect the terms in 267*f**2 + 253*f**2 - 435*f**2 - 77 - 4*f + 75. 85*f**2 - 4*f - 2 Collect the terms in 103700*y + 103468*y - 207162*y. 6*y Collect the terms in -51 + v**3 - 17011*v + 17181*v - 26. v**3 + 170*v - 77 Collect the terms in -25*a**3 + 2 - 5*a - 4 - 10*a + 5*a - 3*a. -25*a**3 - 13*a - 2 Collect the terms in 137908 - 137908 - 6380*c. -6380*c Collect the terms in -9322*c**3 + 9321*c**3 + 9905*c**2 - c + 0*c. -c**3 + 9905*c**2 - c Collect the terms in -10676*n**2 + 3 + 10677*n**2 + 1 - 8 + 4. n**2 Collect the terms in 2797*x + 562 - 562 - 1313*x - 1484*x - 13*x**3. -13*x**3 Collect the terms in -6*c**3 + 70*c**3 - 216*c**3 + 50*c**3 + 804*c**3 - 214*c**3. 488*c**3 Collect the terms in 969662*i**2 + 969409*i**2 - 1937939*i**2. 1132*i**2 Collect the terms in -6*l - l**2 - 488324*l**3 + 488330*l**3 - 5*l. 6*l**3 - l**2 - 11*l Collect the terms in 92*f**3 - 138*f**3 + 23506 + 81*f**3. 35*f**3 + 23506 Collect the terms in -36*k + 1322 + 854 - 2176. -36*k Collect the terms in 653*b + 658*b - 1962*b + 650*b. -b Collect the terms in 14*n + 117*n**2 + 1 - 4309*n**2 - 20*n + 0. -4192*n**2 - 6*n + 1 Collect the terms in 5972169119979 - 7*i - 5972169119979. -7*i Collect the terms in k**3 + 162669848 + 0*k**3 - 162669848. k**3 Collect the terms in -550982 + 550982 - 3699*x**2 + x**3. x**3 - 3699*x**2 Collect the terms in -1063272256*b**3 - 2 + 2 + 1063272027*b**3. -229*b**3 Collect the terms in -771550*z**3 - 771526*z**3 + 2314604*z**3 - 771531*z**3. -3*z**3 Collect the terms in 2626*t**2 + 1988*t**2 + 197*t**2. 4811*t**2 Collect the terms in -184*r + 745*r + 5211*r**2 - 195*r - 184*r - 182*r. 5211*r**2 Collect the terms in -1159755*i + 2319544*i - 1159784*i. 5*i Collect the terms in -14824832021*s**2 - 1022*s**3 + 14824832021*s**2. -1022*s**3 Collect the terms in -103*z + 112*z + 196*z + 256*z + 92*z - 32*z. 521*z Collect the terms in -770*i**2 - 138*i**2 - 830*i**2. -1738*i**2 Collect the terms in -309*p**3 + 83*p**2 - p**2 + 62*p**2. -309*p**3 + 144*p**2 Collect the terms in -23620*d + 11902*d + 11721*d. 3*d Collect the terms in 6*q - 56*q**2 - 5*q + 3 - 5 - 2 - 1. -56*q**2 + q - 5 Collect the terms in 1 + 14*u**3 - 6*u**3 + 9*u**3 + 4 - 1863*u. 17*u**3 - 1863*u + 5 Collect the terms in 1502*j + j**2 - 3*j**2 - 2963*j + 1482*j. -2*j**2 + 21*j Collect the terms in -13*p + 8616*p**3 + 267*p**2 - 267*p**2 + 3128*p**3. 11744*p**3 - 13*p Collect the terms in 39*c - 1571 - 611 - 1132. 39*c - 3314 Collect the terms in 4*w - 6*w - 6183*w**2 - 5485*w**2 - 8276*w**2. -19944*w**2 - 2*w Collect the terms in 27*j**2 - 136516*j - 20*j**3 + 136516*j - 27*j**2 - 38. -20*j**3 - 38 Collect the terms in -135454*k**2 - 135910*k**2 + 271752*k**2. 388*k**2 Collect the terms in -29506 - 4*c - 29509 + 59014. -4*c - 1 Collect the terms in -21*d + 5*d + 4*d**2 - 30*d**3 + 11*d**3 + 260*d**3. 241*d**3 + 4*d**2 - 16*d Collect the terms in -99*l**2 - 533*l**2 - 537*l**2 + 1165*l**2 - 2*l**3. -2*l**3 - 4*l**2 Collect the terms in 2153*b**3 - 815*b**3 - 815*b**3. 523*b**3 Collect the terms in -2007 - 2012 - 9*j**2 + 7991 - 1975 - 1997. -9*j**2 Collect the terms in -30*i - 5*i - 1 + 30*i - 24*i - 40*i + 122*i. 53*i - 1 Collect the terms in -19*m + 1235*m**2 - 1235*m**2 + 279717*m**3 - 35*m - 279718*m**3. -m**3 - 54*m Collect the terms in -590 - 598 + 340*w + 1192 - 322*w. 18*w + 4 Collect the terms in -31063*l**3 - 41326*l**3 - 3*l**2 - 16934*l**3 + 12845*l**3. -76478*l**3 - 3*l**2 Collect the terms in 37*j + 28*j + 36*j + 16*j + 40*j - 209*j. -52*j Collect the terms in -18 + 8 - 4922*t + 10 + 2518*t + 2409*t. 5*t Collect the terms in -427*j + 2416139*j**2 + 474*j - 2416140*j**2. -j**2 + 47*j Collect the terms in 13*c + 6394327*c**2 - 6394320*c**2 - 20*c. 7*c**2 - 7*c Collect the terms in -94 - 43 - 11 - 13 - 2*u + 16. -2*u - 145 Collect the terms in 21*u**2 - 123 + 96 - 47*u**2 - 110 + 22*u**2. -4*u**2 - 137 Collect the terms in -289*v**2 - 241*v**2 + 304 + 183*v**2 - 831*v**2 - 304. -1178*v**2 Collect the terms in -254 + 832 - 260 - 5*f**3 - 284. -5*f**3 + 34 Collect the terms in -5936*p**3 - 5938*p**3 + 15323 - 30665 - 5943*p**3 + 17815*p**3 + 15342. -2*p**3 Collect the terms in 2*a - 6463*a**2 - 2*a - 6505*a**2 + 13180*a**2. 212*a**2 Collect the terms in -201*x**2 + 14977 + 317*x**2 - 14994. 116*x**2 - 17 Collect the terms in -386787*u + 5754 + 5759 - 11513. -386787*u Collect the terms in 7135*g + 47857*g - 7478*g + 30729*g + 16682*g. 94925*g Collect the terms in -795 - 786 - 793 - 238*h + 2374 + 248*h. 10*h Collect the terms in -31*y**2 + 27*y**2 - 53*y**2 - 320*y**2 + 100*y**2 - 67*y**2. -344*y**2 Collect the terms in 2 - 310502*i**2 - 1 - 4 + 5. -310502*i**2 + 2 Collect the terms in -73618*m + 73612*m + 3475 - 3475. -6*m Collect the terms in 72 - 335*i - 2 - 38 + 28*i - 32. -307*i Collect the terms in -1243*z - 123*z**2 + 1243*
{ "pile_set_name": "DM Mathematics" }
Let g = 31 + q. Round g to 7 dps. -0.0000005 Let t(q) = -11*q + 4. Suppose 0*c - 60 = -3*c. Suppose 3*n + n = c. Let f be t(n). Round f to the nearest 10. -50 Suppose 3*s + 3*n - 9 = 0, -s - 4*s - 6 = -2*n. Let t = 2877 - 1635. Suppose s = -5*g - 1208 - t. Round g to the nearest 100. -500 Let s be (-2)/((-4)/6) + 144017. Suppose -3*k = 3*f + k - 143984, 5*k + s = 3*f. Round f to the nearest ten thousand. 50000 Let b = -85.72 + -1.28. Let f = 86.9927 + b. Round f to three decimal places. -0.007 Let q = 43.2 - 35. What is q rounded to 0 decimal places? 8 Let u = 18.63358 + -0.63908. Let k = u + -18. Round k to 3 decimal places. -0.006 Let b = -61.849995 - -61.8. Let q = -0.17 + 0.22. Let o = b + q. What is o rounded to 6 dps? 0.000005 Let r = 0.5936375 + -0.2036409. Let h = r + -0.39. What is h rounded to 6 dps? -0.000003 Let o(a) = -a**3 - a**2 + a + 5. Let w be o(0). Suppose -45 = -5*j + c - 149, 0 = w*j + 5*c + 80. Let r = 30 + j. What is r rounded to zero dps? 10 Let u = 9733345950045621.69999943 - 9733346015558537. Let w = -65512914 - u. Let l = 1.3 - w. Round l to 7 dps. -0.0000006 Let m(g) be the third derivative of 17500*g**4/3 - 3*g**2. Let a be m(-5). Round a to the nearest one hundred thousand. -700000 Let x = -1.9988 - -2. Round x to three decimal places. 0.001 Let w = -0.1 + -7.9. Let n = -8.035 - w. What is n rounded to two decimal places? -0.04 Let a = 3795527 + -552870. Suppose l + 757342 + a = 2*y, -5*l + 2000005 = y. What is y rounded to the nearest one million? 2000000 Suppose -6*z + 200 = -z. What is z rounded to the nearest 100? 0 Let y = -5 - 72. Round y to the nearest ten. -80 Let f be ((-2)/(-4))/((-2)/16). Let z be 39609/(-36) + (-1)/f. Round z to the nearest 1000. -1000 Let g(n) = -n**3 + 6*n**2 + 2. Let j(r) = r + 6. Let t be j(0). Let m be g(t). Suppose -m*i = -3*i - 470. What is i rounded to the nearest 100? -500 Let n = 8 - 12. Let k(g) = -5814*g**2 + 2*g + 6. Let w be k(n). Let x = 188026 + w. Round x to the nearest ten thousand. 100000 Let j = 1740 + 1433. Let i be ((-13)/4)/(4/1264). Let r = j - i. Round r to the nearest one thousand. 4000 Let c = 0.08 - 0.049. Let w = -429.639 + 430. Let k = c - w. What is k rounded to one decimal place? -0.3 Let q = 31 + -30.9965. Round q to three dps. 0.004 Let a = 12.6 + -1.8. Let s = 10.7882 - a. Round s to 3 dps. -0.012 Let w = -193950.9 - -193950.7700057. Let f = -0.13 - w. What is f rounded to six dps? -0.000006 Suppose i + 2*i - 12 = 0. Suppose -3*s + 2*c - 2976 = 0, -3*s - 2979 = c - i*c. What is s rounded to the nearest one hundred? -1000 Let v(l) be the second derivative of -256250*l**3/3 - 2*l. Let b be v(-8). What is b rounded to the nearest one million? 4000000 Let r = 0.03 + 2.97. Let h = -31.779936 + 34.78. Let a = h - r. What is a rounded to 5 decimal places? 0.00006 Let p = -1.2 + 1.2. Let t = 0.015 - 0.0149977. Let y = t - p. Round y to six dps. 0.000002 Let m = 451909.1400052 + -451909. Let n = 1.3 - 1.44. Let b = n + m. What is b rounded to six decimal places? 0.000005 Let z = 30.8 + -30.80137. Round z to 4 dps. -0.0014 Let s be (4/(-6))/((-8)/228). Let i = s + -8. Let q be (-4)/(-22) - (-84699998)/i. What is q rounded to the nearest 1000000? 8000000 Let i = 16.1 - 19.984. Let k = -4 - i. What is k rounded to two dps? -0.12 Let q = -7.0000374 - -7. What is q rounded to six decimal places? -0.000037 Let r = 8 + -13. Let n = r - -4.99999976. Round n to 7 dps. -0.0000002 Let a be 40/6*(-1 - -7). Round a to the nearest one hundred. 0 Let b = 0.024 - 0.0239898. What is b rounded to 6 decimal places? 0.00001 Let b = 11.28 - 11. Round b to one decimal place. 0.3 Let k = -0.22944 + 0.23. What is k rounded to 4 dps? 0.0006 Let c = -43.12 + 44. Let y = c - 0.08. Let h = -2.8 - y. What is h rounded to the nearest integer? -4 Let l = -58.6303 + 64.63. Let v = -8 - -2. Let p = v + l. Round p to three decimal places. 0 Let m = -63631 + 63615.7724. Let c = m + 15.3. Let o = c - 0.07. What is o rounded to 3 decimal places? 0.002 Let u = -192858097261100708.99999991 - -192858096316464538. Let m = 944636175 + u. Let o = m + -4. What is o rounded to 7 decimal places? 0.0000001 Let z be 200/2*25*8. What is z rounded to the nearest 10000? 20000 Suppose -r + 3*a + 518862 = 0, -2*r + 1037724 = 2*a - 6*a. Let o = r + -3698100. Let u = -13179238 - o. What is u rounded to the nearest one million? -10000000 Let x(m) = 1239999*m + 2. Let h be 2/(-8) - 9/(-4). Let u be x(h). Suppose b + u = -3*b. What is b rounded to the nearest 100000? -600000 Let h = 0.1597 - -7.7851. Let s = -0.0712 - h. Let k = -8 - s. Round k to two decimal places. 0.02 Let j = 1.835 - 156.84. Let o = j - -153. Let c = 2 + o. What is c rounded to three decimal places? -0.005 Let p = 3.8 - 3.816. Round p to two dps. -0.02 Let m = 60.688 + -0.288. Let p = 56 - m. What is p rounded to 0 dps? -4 Let t = 38830 + -66830. What is t rounded to the nearest 10000? -30000 Let i(o) = o**3 + 4*o**2 - 2*o - 6. Let b be i(-4). Suppose b*p - 3*l = 800000, 400000 = p - 3*l - l. What is p rounded to the nearest one million? 0 Let w = -63.3 + 70.3048. Let k = 7 - w. What is k rounded to three decimal places? -0.005 Let a(o) = 78*o**2 + 8*o - 6. Let i be a(8). What is i rounded to the nearest one thousand? 5000 Suppose -8*k = -311541 - 64459. Round k to the nearest 1000. 47000 Let v = 4.42 - 4.4199354. Round v to five dps. 0.00006 Let f = 33 - 31.1. Let j = -0.6 - f. What is j rounded to the nearest integer? -3 Let h = -17 - -11. Let b be (-318)/10*(-11 - h). What is b rounded to the nearest ten? 160 Let x = 127068 - 127004.941. Let k = x - 0.059. Let m = k - 62.99939. Round m to 4 decimal places. 0.0006 Let j be (-10867992)/(-12) + (-2)/1. Let m be (32/(-5))/(2/(-636145)). Let k = m - j. What is k rounded to the nearest 100000? 1100000 Let f = 4.91 - -0.09. Let x = 4.997 - f. What is x rounded to 2 dps? 0 Suppose 303 = 2*m + 7. Suppose -4*d - 412 - m = 0. What is d rounded to the nearest 100? -100 Let m = 186516466.0000092 + -186516432. Let p = m - 34. Round p to 6 dps. 0.000009 Let q = 1.3 + 0.3. Let o = 0.6 + q. What is o rounded to 1 dp? 2.2 Let u = 22 - 6. Suppose -u + 111 = r. Round r to the nearest ten. 100 Let v = 0.92 + 0.39. What is v rounded to 1 decimal place? 1.3 Let u = -0.2 - -0.064. Round u to 2 decimal places. -0.14 Let l(j) = j**3 - 5*j**2 + 5*j + 2. Let x be l(4). Let h be 3/(x/(-328))*50. What is h rounded to the nearest one thousand? -8000 Let n = 28525.54247 - 28409.542. Let y = -116 + n. Round y to four decimal places. 0.0005 Suppose -2*p + 7228 = -3*p - 2*a, 5*p - 5*a = -36170. Let l = -4932 - p. What is l rounded to the nearest 1000? 2000 Let g(t) = t**2 - t. Let u be g(0). Let b be (-13 + (-3 - u))*-500. Round b to the nearest one thousand. 8000 Let h = -0.01 + -0.046. Let y = -0.087 - h. Let a = y + 0.03034. Round a to 4 decimal places. -0.0007 Let d = -6145 - -6142.391. Let j = d - -2.6. Round j to three dps. -0.009 Let h(w) = 4*w + w - 50*w**2 - 4*w - 5*w + 6. Let v be h(4). Round v to the nearest 100. -800 Suppose m + 2*m + 3477 = 3*d, 5835 = 5*d + 5*m. Let b = -823 + d. Round b to the nearest one hundred. 300 Let x be -2*(-2)/(-4)*25. What is x rounded to the nearest ten? -30 Suppose -6*s + 2*s = -8800000. What is s rounded to the nearest one million? 2000000 Let f = -16 - -15.2. Round f to the nearest integer. -1 Let k = 1009.2585 - 1009. Let y = -0.30421 + k. Let t = 0.046 + y. Round t to 4 decimal places. 0.0003 Let a(o) = -892*o - 12. Let l be a(-11). What is l rounded to the nearest one thousand? 10000 Let b(x) = -57504*x**2 + 9. Let w(j) = 57503*j**2 + j - 8. Let c(r) = 4*b(r) + 5*w(r). Let y be c(4). Round y to the nearest one hundred thousand. 900000 Let w = -1805 + 1805.1914. Let m = 0.19 - w. What is m rounded to 3 decimal places? -0.001 Suppose -2*p + 5*r - 87995 = -4*p, 5*p - 219998 = -2*r. Round p to the nearest ten thousand. 40000 Let x = 11880.044083 - 11880. Let d = x - 0.044. Round d to 5 dps. 0.00008 Let g(u) be the first derivative of 749*u**3/3 + u**2 - 1. Let j be g(2). What is j rounded to the nearest 1000? 3000 Suppose -3*w = -8 - 4. Let g = -6 + w. Let a be 25499998/5 - g/5. Round a to the nearest one million. 5000000 Let s = 9538 + -9538.65961. Let j = 0.66 + s. What is j ro
{ "pile_set_name": "DM Mathematics" }
olve l**5/6 - 272*l**4/3 + 111595*l**3/6 - 1719894*l**2 + 62961624*l - 274079520 = 0. 5, 132, 143 Factor l**5/3 + 163*l**4/3 + 53*l**3 - 491*l**2/3 - 812*l/3 - 108. (l - 2)*(l + 1)**3*(l + 162)/3 Solve 89*s**4/3 - 92*s**3/3 - 177*s**2 + 6*s = 0. -2, 0, 3/89, 3 Determine y so that -3*y**4/4 - 459*y**3/4 - 339*y**2 - 225*y = 0. -150, -2, -1, 0 Factor b**2 - 1243*b - 196670. (b - 1385)*(b + 142) Find n such that -2*n**3/9 - 50*n**2/3 + 117314*n/9 - 13018 = 0. -283, 1, 207 Solve 3*x**3/2 - 404175*x**2/2 + 808341*x/2 - 404169/2 = 0 for x. 1, 134723 Suppose -t**5/3 + 266*t**4/3 + 1939*t**3/3 - 7664*t**2/3 + 1820*t = 0. Calculate t. -10, 0, 1, 2, 273 Solve -m**2 - 17*m - 16 = 0 for m. -16, -1 Factor -2*n**3/7 + 22704*n**2/7 - 9129798*n - 2988031292/7. -2*(n - 5699)**2*(n + 46)/7 Determine a so that 58*a**5 - 240*a**4 + 380*a**3 - 280*a**2 + 90*a - 8 = 0. 4/29, 1 Solve 3*u**2 + 45582*u + 173143227 = 0. -7597 Determine r, given that 3*r**5 - 28020*r**4 + 56019*r**3 + 84054*r**2 - 112044*r - 112056 = 0. -1, 2, 9338 Factor -2*t**2/11 - 3021020*t/11 - 1140820230050/11. -2*(t + 755255)**2/11 Determine h, given that -h**2/6 - 178*h - 81755/6 = 0. -985, -83 Let -261*z**3/4 - 777*z**2/4 + 3663*z/2 - 42 = 0. What is z? -7, 2/87, 4 Solve 2*y**4/7 + 150*y**3/7 + 146*y**2/7 - 150*y/7 - 148/7 = 0. -74, -1, 1 Let -2*j**5/15 + 412*j**4/15 - 5498*j**3/3 + 640136*j**2/15 - 302624*j + 658560 = 0. What is j? 5, 28, 84 Factor -2*m**4 + 4298*m**3 - 17168*m**2 + 17160*m. -2*m*(m - 2145)*(m - 2)**2 Find g, given that -21877072281*g**3 + 7290582519*g**2 + 591600*g + 12 = 0. -2/49303, 1/3 Let -2*x**4/3 - 34*x**3/3 + 30*x**2 + 274*x/3 + 152/3 = 0. Calculate x. -19, -1, 4 Factor 3*u**2/8 + 141*u/2 + 11385/8. 3*(u + 23)*(u + 165)/8 Factor -2*c**3/11 - 1024*c**2/11 - 8064*c/11. -2*c*(c + 8)*(c + 504)/11 Determine k so that -2*k**2/3 + 23566*k - 282760/3 = 0. 4, 35345 Let -3*s**5/5 + 19089*s**4/5 + 38199*s**3/5 - 11457*s**2 = 0. What is s? -3, 0, 1, 6365 Factor 5*l**3 + 20015*l**2 + 19716175*l - 630584795. 5*(l - 31)*(l + 2017)**2 Find w, given that 19*w**2/2 + 379*w/5 - 8/5 = 0. -8, 2/95 Factor 2*r**4 + 1700*r**3 + 356106*r**2 - 2189648*r + 1831840. 2*(r - 5)*(r - 1)*(r + 428)**2 Factor g**3/3 - 1741*g**2 + 5222*g/3. g*(g - 5222)*(g - 1)/3 Suppose -5*g**5 + 260*g**4 + 295*g**3 - 1570*g**2 - 1100*g + 2120 = 0. What is g? -2, 1, 2, 53 Factor 2*r**3 - 342*r**2 + 15438*r - 209498. 2*(r - 109)*(r - 31)**2 Find x such that -x**4/4 - 6*x**3 - 39*x**2/4 + 196*x - 180 = 0. -20, -9, 1, 4 Suppose 5*w**2 + 695*w - 6660 = 0. What is w? -148, 9 What is q in -q**3/5 + 129*q**2/5 - 4188*q/5 + 812 = 0? 1, 58, 70 Factor -5*q**3 + 100*q**2 + 1065*q - 14040. -5*(q - 24)*(q - 9)*(q + 13) Let 3*j**3 - 2898*j**2 - 101901*j - 99000 = 0. Calculate j. -33, -1, 1000 Determine m, given that -4*m**2 - 504*m - 9476 = 0. -103, -23 Factor n**3/8 + 549*n**2/4 + 34755*n/2 + 586775. (n + 70)**2*(n + 958)/8 Factor 5*o**2/2 + 2335*o/2 + 19125. 5*(o + 17)*(o + 450)/2 Let -x**4 + 80838*x**3 - 1633695561*x**2 = 0. What is x? 0, 40419 Find g such that 2*g**3 - 1458*g**2 = 0. 0, 729 Let 12*m**5 - 3848*m**4 - 1304*m**3 + 6416*m**2 + 1292*m - 2568 = 0. What is m? -1, 2/3, 1, 321 Solve -25*b**4 - 61265*b**3 - 37552365*b**2 - 22484875*b + 15006250 = 0. -1225, -1, 2/5 Factor -b**2/8 + 473*b/8 + 420. -(b - 480)*(b + 7)/8 Solve 8*b**5/13 - 46*b**4/13 - 212*b**3/13 - 194*b**2/13 - 36*b/13 = 0. -2, -1, -1/4, 0, 9 Determine y so that -y**4/4 - 6079*y**3/2 - 36954241*y**2/4 = 0. -6079, 0 Suppose -2*h**3/11 + 6*h**2 + 1224*h/11 - 1288/11 = 0. Calculate h. -14, 1, 46 Solve -2*d**4/9 - 1934*d**3/9 - 628*d**2/3 + 5144*d - 7728 = 0 for d. -966, -6, 2, 3 Let -6*l**4/11 - 23316*l**3/11 + 69984*l**2/11 - 69996*l/11 + 23334/11 = 0. What is l? -3889, 1 Let -4*l**2 + 130552*l - 1065239044 = 0. Calculate l. 16319 Factor 4*v**2 + 27720*v + 27716. 4*(v + 1)*(v + 6929) Solve 3*k**3 - 1092*k + 2160 = 0. -20, 2, 18 Solve 4*j**4 + 2724*j**3 + 5436*j**2 + 2716*j = 0. -679, -1, 0 Suppose -2*h**4 - 3601*h**3/2 - 4477*h**2/2 + 16173*h/2 - 8091/2 = 0. Calculate h. -899, -3, 3/4, 1 Suppose -v**3/2 - 709*v**2/2 - 123879*v/2 + 637245/2 = 0. Calculate v. -357, 5 Suppose -d**5/4 + 649*d**4/4 - 52161*d**3/2 - 79381*d**2 - 53138*d = 0. What is d? -2, -1, 0, 326 Suppose -4*w**4 + 952*w**3 + 207972*w**2 + 617192*w + 410176 = 0. What is w? -136, -2, -1, 377 Factor 3*s**2/4 - 717*s/4 - 6939/2. 3*(s - 257)*(s + 18)/4 Let 3*n**3 + 3*n**2 - 558*n + 2592 = 0. Calculate n. -16, 6, 9 Factor 3*l**2 + 1340976*l + 149851386048. 3*(l + 223496)**2 Factor -210*t**2 - 17825*t. -5*t*(42*t + 3565) Factor 5*w**4 - 155*w**3 + 140*w**2 + 300*w. 5*w*(w - 30)*(w - 2)*(w + 1) Solve -h**2/2 + 1705*h/2 - 6788 = 0 for h. 8, 1697 Solve 722*f**3 - 9652*f**2 + 6965*f/2 - 637/2 = 0 for f. 7/38, 13 Suppose 3*v**5 + 2187*v**4 + 32295*v**3 + 117765*v**2 - 32298*v - 119952 = 0. What is v? -714, -8, -7, -1, 1 Let -4*o**2 + 80796*o - 242352 = 0. Calculate o. 3, 20196 Solve y**2/6 - 31*y + 855/2 = 0 for y. 15, 171 What is z in -z**3/4 - 235*z**2/2 + 2369*z/4 - 1425/2 = 0? -475, 2, 3 Determine w so that -w**4/2 + 13*w**3/2 + 31*w**2/2 - 13*w/2 - 15 = 0. -2, -1, 1, 15 Suppose -j**4/9 + 156586*j**3/3 - 469756*j**2/3 + 1409266*j/9 - 52195 = 0. What is j? 1, 469755 Factor 2*y**4 - 100*y**3 + 896*y**2 + 9408*y. 2*y*(y - 28)**2*(y + 6) Factor a**3 - 86*a**2 + 1224*a. a*(a - 68)*(a - 18) Factor -y**3/3 - 103738*y**2/3. -y**2*(y + 103738)/3 Factor 3*m**2 - 406746*m - 1220265. 3*(m - 135585)*(m + 3) What is g in 7*g**4/2 + 4805*g**3 + 9603*g**2/2 = 0? -9603/7, -1, 0 Factor 2*a**3/7 + 1742*a**2 + 18580606*a/7 - 18592802/7. 2*(a - 1)*(a + 3049)**2/7 Let -2*p**4/7 + 18*p**2/7 - 8*p/7 - 24/7 = 0. What is p? -3, -1, 2 Factor 2*u**3/5 + 1366*u**2/5 + 12132*u/5. 2*u*(u + 9)*(u + 674)/5 What is m in 4*m**3 + 308*m**2 + 5672*m - 5984 = 0? -44, -34, 1 Factor -3*n**2/2 + 888*n + 310059/2. -3*(n - 733)*(n + 141)/2 Determine j so that 2*j**2/13 + 340342*j/13 - 680692/13 = 0. -170173, 2 Factor 84*g**3 - 4136*g**2 + 964*g + 784. 4*(g - 49)*(3*g + 1)*(7*g - 4) Determine u so that -u**4/4 + 2053*u**3 - 4105*u**2 = 0. 0, 2, 8210 Solve -2*c**2 - 218*c = 0 for c. -109, 0 Factor i**4/2 + 1075*i**3/2 + 150436*i**2 + 3181774*i. i*(i + 23)*(i + 526)**2/2 Solve -6*f**5 + 512*f**4 + 30108*f**3 + 461160*f**2 + 1942650*f - 3483000 = 0. -15, 4/3, 129 Factor 2*x**3 + 48*x**2 - 2258*x + 2208. 2*(x - 23)*(x - 1)*(x + 48) Determine d, given that -2*d**5/7 + 205270*d**4/7 - 5266868974*d**3/7 - 5267279518*d**2/7 + 5266868976*d/7 + 5267074248/7 = 0. -1, 1, 51318 Find o, given that -o**4 + 123*o**3 - 1652*o**2 + 3324*o + 14256 = 0. -2, 6, 11, 108 Let 2*b**2/3 + 938*b/3 - 628 = 0. Calculate b. -471, 2 Let p**2 + 47808*p - 430353 = 0. What is p? -47817, 9 Find k such that 2*k**3/9 + 9964*k**2/3 + 6642*k + 29888/9 = 0. -14944, -1 Factor m**2/8 + 2796*m - 11185/2. (m - 2)*(m + 22370)/8 Solve 28992*i**3 + 86973*i**2 + 57975*i - 6 = 0 for i. -2, -1, 1/9664 Factor 2*l**3/19 - 1506*l**2/19 - 4532*l/19 - 3024/19. 2*(l - 756)*(l + 1)*(l + 2)/19 Let 3*o**4 + 2271*o**3 - 9216*o**2 - 64020*o - 73056 = 0. What is o? -761, -2, 8 Factor -5*q**2 - 71380*q - 254755220. -5*(q + 7138)**2 Suppose -15*j**3 - 152148*j**2 + 304401*j + 456534 = 0. What is j? -50726/5, -1, 3 Solve 30*k**2 - 3814145*k + 635690 = 0 for k. 1/6, 127138 Let -3*z**5 - 18*z**4 + 2694*z**3 + 108*z**2 - 18819*z + 16038 = 0. Calculate z. -33, -3, 1, 2, 27 Suppose h**5 - 25*h**4/3 - 238*h**3 - 1724*h**2/3 - 280*h = 0. Calculate h. -10, -2, -2/3, 0, 21 Factor -p**5 - 11*p**4 - 31*p**3 - 21*p**2. -p**2*(p + 1)*(p + 3)*(p + 7) Solve -x**2/7 + 615*x/7 - 2444/7 = 0. 4, 611 Find b, given that 4*b**4/7 + 1020*b**3/7 - 59692*b**2/7 - 460668*b/7 - 399960/7 = 0. -303, -6, -1, 55 Let -2*b**4 + 8*b**3 + 1002*b**2 - 8208*b = 0. What is b? -24, 0, 9, 19 Factor 2*s**2 - 483094*s - 966196. 2*(s - 241549)*(s + 2) What is r in -3*r**3/4 - 573*r**2/2 - 1143*r/4 = 0? -381, -1, 0 Determine s, given that 39*s**2/5 - 450*s + 9699/5 = 0. 61/13, 53 Factor -j**3/4 - 44*j**2 - 859*j/4 - 171. -(j + 1)*(j + 4)*(j + 171)/4 Factor -s**2/5 + 55*s - 13936/5. -(s - 208)*(s - 67)/5 Find r, given that r**2/3 - 35894*r/3 + 143560/3 = 0. 4, 35890 Factor -p**3/5 + 66847*p**2/5 - 223406015*p - 670338375. -(p - 33425)**2*(p + 3)/5 Fa
{ "pile_set_name": "DM Mathematics" }
n descending order. 5, -1, -2, -33, -124 Sort 4, -4, -36, -3, -15/4 in descending order. 4, -3, -15/4, -4, -36 Sort -14, 3, 1/4, -1, -0.03 in ascending order. -14, -1, -0.03, 1/4, 3 Put -4, 4, 1, -117 in descending order. 4, 1, -4, -117 Put -1684, -1/2, 2, 0, 4, 0.2 in decreasing order. 4, 2, 0.2, 0, -1/2, -1684 Sort 1589, 9, 17, 1 in decreasing order. 1589, 17, 9, 1 Put 39, 1, 4, 42 in descending order. 42, 39, 4, 1 Sort 6, 78, 16, -56, 5. -56, 5, 6, 16, 78 Sort 0.02, -0.1, 29, 7, 21 in ascending order. -0.1, 0.02, 7, 21, 29 Sort 7, 1/5, 3/7, -1, -7, 3.3 in decreasing order. 7, 3.3, 3/7, 1/5, -1, -7 Put 1, 70260, 7 in ascending order. 1, 7, 70260 Put 45, 263/4, 1/4, 0.2 in decreasing order. 263/4, 45, 1/4, 0.2 Put 5, 0, -5, 2, 7 in descending order. 7, 5, 2, 0, -5 Put -28, 6, -658 in decreasing order. 6, -28, -658 Sort -3, -2, 58, -24 in decreasing order. 58, -2, -3, -24 Sort 13, 19, 1, 52, -3, -22. -22, -3, 1, 13, 19, 52 Sort 499, 9, 1, -2, 6. -2, 1, 6, 9, 499 Sort -4, 437, 1, -50. -50, -4, 1, 437 Sort 3, -4, -2010, 4 in decreasing order. 4, 3, -4, -2010 Sort 2, -1, 1120, 0.3, 2/5. -1, 0.3, 2/5, 2, 1120 Sort -1/7, 0.3, 886.3, -5 in descending order. 886.3, 0.3, -1/7, -5 Sort -258, 212, 5 in ascending order. -258, 5, 212 Sort 0.92, -3, -954. -954, -3, 0.92 Sort -8/5, -91, 1227. -91, -8/5, 1227 Sort -5, -0.55, -1641. -1641, -5, -0.55 Sort -39, -11/7, 1, -4, -0.4, -4/7. -39, -4, -11/7, -4/7, -0.4, 1 Put -1/9, -263, 1, -1, -26, 3/7 in descending order. 1, 3/7, -1/9, -1, -26, -263 Put -3276, -8, -5, 2, 0 in descending order. 2, 0, -5, -8, -3276 Put 0.01, 1, -3, 0.08, 25 in descending order. 25, 1, 0.08, 0.01, -3 Sort 0.2, 2/9, -3722, 5, 1/6, 0.4. -3722, 1/6, 0.2, 2/9, 0.4, 5 Sort -3, -513, -677. -677, -513, -3 Put -5, -176.4, -33 in increasing order. -176.4, -33, -5 Put 5, 2, -0.1, 1, -5/2684 in decreasing order. 5, 2, 1, -5/2684, -0.1 Sort 7, -902, -2. -902, -2, 7 Sort 4, 5, -24392 in ascending order. -24392, 4, 5 Sort 4, -1/2, 16, 0, 0.07, -3 in decreasing order. 16, 4, 0.07, 0, -1/2, -3 Put -11, -0.4, 4, -4, -2/11 in decreasing order. 4, -2/11, -0.4, -4, -11 Put -4, 11, 4, 1, -580 in ascending order. -580, -4, 1, 4, 11 Put -2, 2, 120, 17, -7, -5 in decreasing order. 120, 17, 2, -2, -5, -7 Put 2, 26, 9, -9 in ascending order. -9, 2, 9, 26 Put 17, 2, 0, 23, 1.7 in increasing order. 0, 1.7, 2, 17, 23 Sort 214, 1, -54, -15 in ascending order. -54, -15, 1, 214 Sort 0.3, -8, -5, -1/60, -0.5 in increasing order. -8, -5, -0.5, -1/60, 0.3 Sort 0.1, 3, 2/21, 1/4, 1307/5 in ascending order. 2/21, 0.1, 1/4, 3, 1307/5 Put -4, -8/3, -0.2, 0.2, -1.2, -9 in increasing order. -9, -4, -8/3, -1.2, -0.2, 0.2 Sort 31, -1283, -1 in descending order. 31, -1, -1283 Sort -2.4, 18, -2/17, -4/3, -0.2. -2.4, -4/3, -0.2, -2/17, 18 Sort 1549, -0.3, 2/3, 24 in decreasing order. 1549, 24, 2/3, -0.3 Sort 3/5, 14, 270, -4, -0.1, 5 in decreasing order. 270, 14, 5, 3/5, -0.1, -4 Sort -0.5, 3, -12, -4, 37, -6 in decreasing order. 37, 3, -0.5, -4, -6, -12 Sort 4, -5, 112, 3, 38 in increasing order. -5, 3, 4, 38, 112 Put 1486, -0.5, 0.4 in ascending order. -0.5, 0.4, 1486 Put -2/9, -102, -23 in decreasing order. -2/9, -23, -102 Sort -2, -12, -3, -71, 4 in descending order. 4, -2, -3, -12, -71 Put 7, 8242, 4, 2 in descending order. 8242, 7, 4, 2 Sort 7632, 0, -7, -2, 2, -3. -7, -3, -2, 0, 2, 7632 Sort -1, 1, 4, -5, 8 in decreasing order. 8, 4, 1, -1, -5 Sort 119, -228, -9, 1 in descending order. 119, 1, -9, -228 Put 3, 0.4, 2, 5, -5, 57 in ascending order. -5, 0.4, 2, 3, 5, 57 Sort 0.047, -0.5, 151 in ascending order. -0.5, 0.047, 151 Put 12, -119, 2 in descending order. 12, 2, -119 Sort -4306, 2, 5, -34 in increasing order. -4306, -34, 2, 5 Put 4, 0.2, -4/5, 3, -3, 10120 in ascending order. -3, -4/5, 0.2, 3, 4, 10120 Put 206, 61, -2 in ascending order. -2, 61, 206 Sort 41/2, 0, -39 in descending order. 41/2, 0, -39 Sort -2/5, -3, -70, -35. -70, -35, -3, -2/5 Put -3, -1, 0, 5, -115, -6 in ascending order. -115, -6, -3, -1, 0, 5 Sort 4, 3, 5, 47121 in ascending order. 3, 4, 5, 47121 Put -9, 45, -1043 in descending order. 45, -9, -1043 Put 12/11, -20, -24, -0.3 in descending order. 12/11, -0.3, -20, -24 Put 1, 237, 71, 0 in increasing order. 0, 1, 71, 237 Sort -3/7, -3/2, 70, 5, 1/6 in increasing order. -3/2, -3/7, 1/6, 5, 70 Put -6, 2, 2304, -8 in decreasing order. 2304, 2, -6, -8 Put 808, 4, 0, 7, -1 in descending order. 808, 7, 4, 0, -1 Put -26, -4, -70, -6 in decreasing order. -4, -6, -26, -70 Put 5, 3, -8, 6, 0, -229 in decreasing order. 6, 5, 3, 0, -8, -229 Put 32, -57, -2, -5, -4 in descending order. 32, -2, -4, -5, -57 Put -70, -4, 3, -3, -38 in decreasing order. 3, -3, -4, -38, -70 Sort -193, 2/19, -0.16, 0.3, 4/5 in descending order. 4/5, 0.3, 2/19, -0.16, -193 Sort 1726, -2/13, -2/5, -2 in descending order. 1726, -2/13, -2/5, -2 Put 5, -3, 1, 132, 128 in descending order. 132, 128, 5, 1, -3 Sort -0.2, 13/5, -4/7, 0, -3, -0.04 in increasing order. -3, -4/7, -0.2, -0.04, 0, 13/5 Put 11, -7, -62, 4 in descending order. 11, 4, -7, -62 Put -1.6, 15, -0.07 in ascending order. -1.6, -0.07, 15 Sort -295, 4, -21, -1 in descending order. 4, -1, -21, -295 Sort -10, -18, -19. -19, -18, -10 Sort -56, 126, 3, -3, -4 in descending order. 126, 3, -3, -4, -56 Put 0, 63074, -3 in descending order. 63074, 0, -3 Sort 9, 2, 164 in descending order. 164, 9, 2 Put 1, -561, 5, -3, -5 in increasing order. -561, -5, -3, 1, 5 Sort 0.094, 4, 107, -3 in decreasing order. 107, 4, 0.094, -3 Sort 448, -99, -3, -2 in descending order. 448, -2, -3, -99 Put -1, 0, -14, 37, 3, -22 in descending order. 37, 3, 0, -1, -14, -22 Sort 69, 0.2, -580 in ascending order. -580, 0.2, 69 Sort -1/5, 125, -1/14 in increasing order. -1/5, -1/14, 125 Put -17, -25, -5, 1, -4 in increasing order. -25, -17, -5, -4, 1 Sort 0, -11, 16 in decreasing order. 16, 0, -11 Sort 1/2, -0.15, -55, -1/2 in decreasing order. 1/2, -0.15, -1/2, -55 Put 4, 9, 21, -4, -5, -3 in decreasing order. 21, 9, 4, -3, -4, -5 Sort 1, 118, -4, 0, -27 in increasing order. -27, -4, 0, 1, 118 Sort 0, 5, 23, -130 in ascending order. -130, 0, 5, 23 Sort 2, -24, -5, 1, 0, 174 in ascending order. -24, -5, 0, 1, 2, 174 Sort 1/8, 2/11, -2/2751, -5/2 in increasing order. -5/2, -2/2751, 1/8, 2/11 Sort 569, 108, -1 in decreasing order. 569, 108, -1 Sort 18, 3, -4, -33 in descending order. 18, 3, -4, -33 Sort 878, -10, -0.1. -10, -0.1, 878 Put 4, -8, 3, -2, 122 in ascending order. -8, -2, 3, 4, 122 Put -5, 92, 2, 8, -4, -1 in descending order. 92, 8, 2, -1, -4, -5 Put 325, -5, 240 in descending order. 325, 240, -5 Sort -1/10, 1.7, -4, 1, -0.05, -1 in decreasing order. 1.7, 1, -0.05, -1/10, -1, -4 Put -3, 3, -269, -2, 0.26 in descending order. 3, 0.26, -2, -3, -269 Put 11, -1, -1567 in descending order. 11, -1, -1567 Sort -148, 1, -4, -2, 2 in increasing order. -148, -4, -2, 1, 2 Sort -4, -1, -1828 in decreasing order. -1, -4, -1828 Put -0.2, -4, 23363 in decreasing order. 23363, -0.2, -4 Sort 12/13, -371, 2, 1, 5, 0.5 in decreasing order. 5, 2, 1, 12/13, 0.5, -371 Sort -11, -3, 2/11, 4, -2/47 in decreasing order. 4, 2/11, -2/47, -3, -11 Sort -286, 1, 20, -1, -5, 0. -286, -5, -1, 0, 1, 20 Put 0.1, 5, -2/3, -1, -16, 2/27 in ascending order. -16, -1, -2/3, 2/27, 0.1, 5 Sort -17.3, 7, 2/7, -2/5 in ascending order. -17.3, -2/5, 2/7, 7 Put -2, 2/13, -10, 5, -23.3 in increasing order. -23.3, -10, -2, 2/13, 5 Sort -2/21, 97, -4 in increasing order. -4, -2/21, 97 Sort -39/2, 0.3, 2/5, -0.1422 in increasing order. -39/2, -0.1422, 0.3, 2/5 Put -4, 3, -2, -45 in descending order. 3, -2, -4, -45 Sort 2, -233, -4, -5, -53. -233, -53, -5, -4, 2 Sort -218814, -2, 2 in decreasing order. 2, -2, -218814 Sort -4, 10, 22, -11 in increasing order. -11, -4, 10, 22 Sort -0.16, 6, -2, -2/11, -15, -0.3 in ascending order. -15, -2, -0.3, -2/11, -0.16, 6 Sort 1, 6, 3, 7, -11, -8 in increasing order. -11, -8, 1, 3, 6, 7 Sort -715343, -1, -4 in decreasing order. -1, -4, -715343 Put 6, 4, 0, -1.2, 0.12 in descending order. 6, 4, 0.12, 0, -1.2 Put 83, -129, 3, 0 in decreasing order. 83, 3, 0, -129 Put 59, 20, -2/3, -8/3, 13/7 in increasing order. -8/3, -2/3, 13/7, 20, 59 Sort 9863, 0.2, 0.02 in descending order. 9863, 0.2, 0.02 Sort -1, -7783, 6. -7783, -1, 6 Sort 6, -4, -985/4 in descending ord
{ "pile_set_name": "DM Mathematics" }
7 Convert -623 (base 9) to base 7. -1323 What is 20210111 (base 3) in base 14? 1b3c Convert -2657 (base 10) to base 5. -41112 What is 3b0 (base 13) in base 4? 22022 -111021112 (base 3) to base 4 -2113100 Convert -110100 (base 3) to base 7. -654 -1650 (base 14) to base 4 -332112 What is -8f5 (base 16) in base 3? -10010221 Convert 1eb3 (base 16) to base 10. 7859 What is 180a8 (base 11) in base 5? 1303112 Convert 3022031 (base 4) to base 15. 3c7b 111 (base 4) to base 8 25 -1140 (base 15) to base 3 -12000120 What is -71 (base 14) in base 7? -201 Convert -12055 (base 7) to base 6. -22251 -1101000011111000 (base 2) to base 6 -1051400 Convert -52892 (base 10) to base 16. -ce9c -30367 (base 11) to base 9 -66757 What is 816 (base 11) in base 8? 1731 What is 414 (base 5) in base 14? 7b Convert -9c (base 13) to base 11. -108 11110101001000 (base 2) to base 8 36510 Convert -1223 (base 6) to base 14. -179 What is 179 (base 11) in base 2? 11001111 2044401 (base 5) to base 9 52107 What is -63b3 (base 16) in base 10? -25523 What is 405 (base 9) in base 5? 2304 -1280 (base 9) to base 5 -12323 What is 202324 (base 7) in base 10? 34465 Convert 11327 (base 9) to base 4. 1312012 44858 (base 9) to base 3 1111221222 What is 351 (base 16) in base 4? 31101 Convert -598c (base 15) to base 9. -28086 -124443 (base 6) to base 14 -4227 What is -1101101011 (base 2) in base 16? -36b 20201012 (base 3) to base 8 11434 a5aa (base 15) to base 3 1210001121 What is -4145 (base 6) in base 14? -4a5 Convert 14311 (base 7) to base 12. 2334 What is -21312331 (base 4) in base 14? -10a05 What is -231300 (base 4) in base 13? -1443 10220 (base 4) to base 16 128 Convert 10010111110110 (base 2) to base 10. 9718 What is -100011010011 (base 2) in base 15? -a09 7316 (base 8) to base 5 110130 -111100 (base 3) to base 4 -11220 Convert -568 (base 11) to base 3. -221011 -1055 (base 11) to base 16 -56f What is 32c (base 13) in base 5? 4140 101201 (base 5) to base 10 3301 Convert 21331120 (base 4) to base 6. 512504 Convert -986a (base 11) to base 7. -52653 Convert -311 (base 10) to base 14. -183 1e5 (base 15) to base 13 27b What is b84 (base 15) in base 5? 40344 Convert -1c7 (base 16) to base 2. -111000111 What is 6aa0 (base 11) in base 3? 110202200 Convert 6553 (base 7) to base 5. 33331 Convert -443 (base 10) to base 7. -1202 Convert -151 (base 13) to base 8. -353 -300213 (base 4) to base 2 -110000100111 12211010 (base 3) to base 9 5733 Convert -347b (base 12) to base 14. -21c3 What is 2093 (base 11) in base 15? c44 What is 1100100010010 (base 2) in base 12? 386a Convert -311 (base 14) to base 2. -1001011011 Convert 11100011100 (base 2) to base 16. 71c -c75 (base 16) to base 9 -4333 What is -132123 (base 5) in base 8? -12250 -10100 (base 4) to base 16 -110 Convert -1000010011 (base 2) to base 4. -20103 What is 53001 (base 8) in base 15? 67cc Convert -200221 (base 3) to base 15. -241 Convert 30330 (base 5) to base 14. a05 -29887 (base 11) to base 16 -a554 -10798 (base 10) to base 16 -2a2e What is -3ba1 (base 16) in base 12? -8a01 -19d6 (base 16) to base 10 -6614 59dd (base 15) to base 9 28181 What is -2144 (base 6) in base 15? -231 Convert 564c (base 13) to base 16. 2f1f What is 20476 (base 9) in base 8? 32313 -1231122 (base 4) to base 7 -26262 What is -2042 (base 9) in base 5? -21441 30212 (base 4) to base 8 1446 -4b5 (base 15) to base 14 -566 Convert 1012010 (base 3) to base 2. 1101100011 What is 20112012 (base 3) in base 8? 11225 Convert -25753 (base 9) to base 14. -6498 Convert 2377 (base 15) to base 6. 54521 Convert 6672 (base 12) to base 5. 330233 14990 (base 11) to base 8 51241 739 (base 11) to base 8 1571 -68433 (base 9) to base 16 -b1f0 What is -312202 (base 4) in base 11? -2693 What is c59c (base 16) in base 5? 3104323 Convert -1376 (base 8) to base 6. -3314 -202 (base 9) to base 2 -10100100 Convert 22010 (base 5) to base 4. 113201 -1000111010000 (base 2) to base 9 -6226 What is -110011010110 (base 2) in base 5? -101121 238d (base 14) to base 8 14071 Convert 4754 (base 13) to base 9. 14685 -31035 (base 8) to base 15 -3c04 What is -706 (base 11) in base 16? -355 What is 45304 (base 7) in base 3? 120201211 Convert -1175 (base 15) to base 2. -111001111110 What is -2460 (base 8) in base 14? -6ac 2ac9 (base 13) to base 12 3749 What is -1b62 (base 16) in base 11? -52a3 What is 59c (base 13) in base 10? 974 -14410 (base 8) to base 16 -1908 -114030 (base 9) to base 8 -205711 What is -110010101 (base 2) in base 14? -20d Convert 22047 (base 11) to base 2. 111110011111011 Convert 349 (base 11) to base 5. 3131 Convert 102142 (base 5) to base 7. 12656 -120131 (base 5) to base 3 -20001120 Convert -5730 (base 15) to base 12. -a853 What is -19252 (base 11) in base 6? -324343 What is -6053 (base 15) in base 3? -1000212220 -103000 (base 6) to base 13 -3ab0 -230 (base 14) to base 5 -3214 -111000000 (base 2) to base 8 -700 Convert -a1b (base 16) to base 14. -d2b What is 203212 (base 7) in base 2? 1000011110111110 What is 1323222 (base 4) in base 16? 1eea Convert -165 (base 8) to base 9. -140 What is 2431 (base 5) in base 16? 16e 1051 (base 6) to base 5 1442 -13030321 (base 4) to base 5 -1420442 4543 (base 7) to base 4 121300 Convert -13213 (base 4) to base 9. -601 Convert -853 (base 13) to base 7. -4066 What is -1053 (base 8) in base 15? -270 Convert -41646 (base 8) to base 7. -101330 Convert -15 (base 9) to base 6. -22 What is -10323 (base 6) in base 14? -735 What is -1185a (base 12) in base 15? -7041 102111022 (base 3) to base 15 2738 398 (base 10) to base 5 3043 330100 (base 6) to base 10 27252 Convert 11049 (base 12) to base 8. 53771 What is -172 (base 12) in base 7? -446 -427 (base 12) to base 3 -211111 What is -3021 (base 5) in base 9? -468 -1255 (base 9) to base 4 -32231 What is -584 (base 9) in base 15? -221 11649 (base 12) to base 3 1012002010 20201103 (base 4) to base 6 425323 8873 (base 9) to base 10 6546 -102137 (base 9) to base 8 -166316 1303 (base 8) to base 11 593 What is f33 (base 16) in base 2? 111100110011 c70b (base 13) to base 15 8273 What is 312331 (base 4) in base 5? 103032 -255 (base 12) to base 13 -212 Convert -1367 (base 9) to base 16. -409 Convert c0a (base 13) to base 10. 2038 Convert -38079 (base 12) to base 6. -1344233 What is -12400 (base 11) in base 13? -8133 2265 (base 7) to base 10 831 Convert 40b (base 16) to base 15. 490 What is 40c (base 13) in base 10? 688 Convert -9098 (base 11) to base 15. -38ab What is -2852 (base 12) in base 8? -11076 Convert -887b (base 13) to base 2. -100101001010110 What is -17b75 (base 12) in base 10? -34505 -760 (base 14) to base 3 -1222221 5d6 (base 14) to base 11 972 What is 5564 (base 8) in base 2? 101101110100 19b (base 15) to base 10 371 -96e (base 15) to base 2 -100001010001 11261 (base 10) to base 7 44555 -6887 (base 14) to base 11 -12701 What is -13020 (base 12) in base 11? -18546 What is -23003123 (base 4) in base 9? -68085 Convert 1102201 (base 3) to base 2. 10000010101 What is -500401 (base 6) in base 5? -2222100 What is -23295 (base 12) in base 16? -b7d1 Convert -111112110 (base 3) to base 10. -9867 -1009 (base 14) to base 5 -42003 What is 177 (base 15) in base 9? 414 Convert -112 (base 16) to base 12. -1aa What is 2020202 (base 4) in base 8? 21042 Convert 2121 (base 5) to base 14. 166 Convert -274 (base 11) to base 9. -388 cab (base 13) to base 7 6216 Convert -b1 (base 16) to base 2. -10110001 1152520 (base 6) to base 12 2b740 Convert -3342 (base 8) to base 16. -6e2 What is -2846 (base 12) in base 14? -19b0 What is -1001011000101000 (base 2) in base 5? -2212230 What is 6a4 (base 14) in base 12? 920 -1577 (base 16) to base 10 -5495 -316 (base 8) to base 13 -12b 1210 (base 8) to base 7 1614 Convert 11001011100 (base 2) to base 5. 23003 What is 28d8 (base 14) in base 5? 212441 What is -70b2 (base 13) in base 3? -210021222 Convert 1443 (base 8) to base 12. 56b What is -1400023 (base 5) in base 10? -28138 -781 (base 15) to base 12 -b94 -3182 (base 10) to base 16 -c6e What is -439 (base 11) in base 6? -2234 510 (base 12) to base 4 23130 -489 (base 11) to base 2 -1001000101 Convert 4207 (base 9) to base 8. 6015 What is 2871 (base 16) in base 5? 312403 -8c31 (base 14) to base 2 -101111100011011 What is -100111110111 (base 2) in base 6? -1
{ "pile_set_name": "DM Mathematics" }
est to -4? (a) 0.06 (b) -13/85 (c) -5 (d) -13 (e) 0.5 c Which is the closest to -1.4? (a) -147 (b) 5.3 (c) -0.4 c What is the nearest to 1 in -2/547, 1/31, 5, 1, 358, 3? 1 Which is the nearest to -2? (a) 4 (b) 1/5 (c) -2/7 (d) 365/8 (e) 5/2 c Which is the closest to 0.02? (a) -32 (b) 3/26 (c) 0.8 (d) 2 b What is the closest to 53 in -3, 0.2, 1/920? 0.2 Which is the nearest to -1/4? (a) -4 (b) -44/15 (c) 26 (d) 2 (e) 0.5 e Which is the nearest to -0.3? (a) -1 (b) 7632 (c) 0 (d) 2/9 (e) -2 c What is the closest to 14 in 1, -7, -2, -0.029? 1 Which is the nearest to 0.17? (a) 3/7 (b) -1/4 (c) -16387 (d) -0.2 a What is the nearest to -2/9 in -5, 2/13, -51, -1, 0.5, -33.906? 2/13 Which is the closest to -0.4? (a) 268 (b) -1.458 (c) 2/5 (d) -0.2 (e) -4 d Which is the closest to 3/97? (a) -1/4 (b) 114/47 (c) 5 (d) 1 a Which is the nearest to 2/75? (a) -1/2 (b) -15445 (c) 2 (d) -5 a What is the closest to 18029 in -2/3, -1/3, -89.7, -3? -1/3 What is the nearest to -33 in 5, 0.015, 6? 0.015 What is the nearest to -5/6 in -1.3, 0.07, -2/17, 5, -3? -1.3 What is the closest to 355 in 92, 1/5, -8, -4/5, -1? 92 Which is the closest to -0.1? (a) -14300 (b) 11 (c) 15 b Which is the closest to -3? (a) -33 (b) -8.1 (c) -0.65 (d) 0.5 c What is the closest to 2/11 in 284117, 0.5, 0.2? 0.2 What is the closest to 3 in 19/88, -25, 4, 0.2? 4 Which is the closest to 17882? (a) -0.1 (b) -8/5 (c) -2.08 a Which is the nearest to 4? (a) -10267 (b) -2 (c) -0.5 (d) 1 (e) 13 (f) 2 f What is the closest to -1 in 2/5, 466, 2/1943? 2/1943 Which is the closest to 2? (a) -420 (b) 0.11 (c) 144 b What is the nearest to 59 in 0.3, -138, 1, -2/167? 1 Which is the nearest to -5? (a) 264 (b) -9/8 (c) -0.11 b What is the nearest to 1/4 in 7, -2, 1/2, 0.32, -3, -124/5? 0.32 What is the closest to 1/4 in -4, -0.4, 15827, 0, 37/9? 0 Which is the nearest to 1/9? (a) 2 (b) -325 (c) 5 (d) -7351 a What is the closest to 1/2 in 8.8, -14553, -2/13? -2/13 What is the nearest to 13424 in 4, -2/1063, -4? 4 Which is the closest to 2? (a) 0.5 (b) 21.1 (c) 942 (d) 5 a Which is the closest to -5? (a) 1/5 (b) 1/2 (c) -354/11 (d) 8 (e) 0.1 e What is the closest to 5 in 46/2615, -0.5, -0.153? 46/2615 What is the nearest to -17 in -1, 7, 0.5, -27922, -3? -3 Which is the closest to 1? (a) 1.5 (b) -0.2 (c) 1 (d) 2/89 (e) 7 c Which is the closest to -22? (a) -1/3 (b) 0.1 (c) 8 (d) -0.6 (e) 0.04 d Which is the closest to 2/11? (a) -0.1 (b) -1.511 (c) 0.8 (d) -4 (e) -2/17 a What is the nearest to 0 in 11.05, 1204, 13? 11.05 Which is the nearest to 109? (a) -2/3 (b) -5 (c) 53/28 c What is the nearest to 1 in 860358, 0.04, 0.3? 0.3 Which is the closest to 363? (a) -0.04164 (b) 3/2 (c) 1/3 b Which is the closest to 0.01833? (a) 5.7 (b) 35 (c) -5 c Which is the closest to 0.145? (a) 28 (b) -5 (c) -3 (d) -0.3 (e) 0.5 e Which is the nearest to -180? (a) -0.2 (b) 0.21 (c) 64 a Which is the nearest to -346? (a) -5 (b) 3 (c) -8 (d) -4 (e) -37 (f) -4/7 e Which is the closest to -0.1? (a) 1165 (b) 21 (c) 0.1 (d) -0.5 (e) 0 (f) 0.69 e Which is the nearest to -1/2? (a) 0.2 (b) -0.22 (c) -90826 b Which is the nearest to -1055? (a) 3 (b) -0.2 (c) 19 (d) 0.2 b What is the nearest to -2 in 0.092, 114, 2/13, -108? 0.092 Which is the nearest to 0.1? (a) 0.5 (b) -9488 (c) 29 (d) -2.7 (e) -3 a Which is the nearest to 1140? (a) 141 (b) 4 (c) 2/107 a Which is the nearest to 117? (a) 0.09 (b) 128 (c) 2/13 (d) -2 b Which is the nearest to -19? (a) 2.1 (b) 421/3 (c) 5 (d) 38 a What is the nearest to 3.33 in 150/23, 0.3, 5, 1? 5 Which is the nearest to -111? (a) 3 (b) 1 (c) 17 (d) -259 (e) 5 (f) -0.4 f Which is the closest to 10.4? (a) 0.13 (b) -16/17 (c) 1.1 c Which is the nearest to 1? (a) 2/17 (b) -7.9 (c) 2/3 (d) -45 c Which is the closest to 1/674? (a) 0.4 (b) 3/5 (c) -6 (d) 0.5 (e) -345 a Which is the closest to 1/4? (a) -1/2 (b) -2298 (c) -144 a What is the closest to 0 in 2/9, 3928, -3/4, 0.3, 0.1? 0.1 What is the nearest to -1/4 in 4, -4/2389, 2/15, -0.018, 21? -0.018 What is the nearest to 2/3 in 4, 5, 0, -25, -48/29, 4/7? 4/7 Which is the closest to 1? (a) -1/5 (b) 8758 (c) 14 a Which is the nearest to -0.9? (a) 6/4525 (b) -69 (c) 0 c Which is the closest to 1/169? (a) -0.04 (b) -1 (c) -15 (d) -2 a What is the closest to 1 in 0, -3/7, 0.3, -1, 48? 0.3 What is the nearest to 0 in 10, -75, 0.3, 3, -0.2? -0.2 What is the closest to 4/7 in -0.1, 3/2, -30, -270, -3? -0.1 Which is the closest to 0? (a) 4/5 (b) -13 (c) -0.2 (d) -113 (e) 11/4 c What is the nearest to 0.054322 in -0.5, -1, -3, 399, 5? -0.5 What is the nearest to -60 in 2/53, -454, -4, -1/4, 3/10? -4 Which is the nearest to 2/11? (a) 2 (b) -2 (c) -3627/7 (d) -1 d What is the closest to -18 in -7, -691, 0.5, -0.1? -7 Which is the nearest to 1.3? (a) 6 (b) 0.4 (c) 45 (d) 3 (e) 2/193 b Which is the closest to 0.1? (a) -9 (b) 0.5 (c) -101945 (d) -0.1 (e) -6/7 d Which is the closest to 0.2? (a) 30/19 (b) 0 (c) 256 (d) 5/6 b What is the nearest to -1.6 in -0.05, 0.4, -5, -77? -0.05 What is the nearest to -130 in 3, 5/6, 4, -0.4, -135? -135 Which is the closest to -4/5? (a) -0.053 (b) 0.4 (c) 57 (d) -5 (e) 2 (f) -31 a Which is the nearest to 1.1? (a) 1 (b) -12995 (c) -0.1 (d) 3/8 a Which is the closest to 2/7? (a) 0.4 (b) 0.311 (c) -730 b What is the nearest to 0.043 in 32.97, -9, 1? 1 Which is the closest to -0.5? (a) -0.5 (b) -104 (c) 0.5 (d) -92 a Which is the closest to -4? (a) -1 (b) 5 (c) 0.4 (d) -11024 (e) -42 (f) 0.04 a What is the nearest to -1812 in 2.4, 3, 0.6, -2/3? -2/3 What is the closest to -7 in -6/559, -7, 1, 0.13? -7 Which is the closest to 195/6437? (a) 5 (b) -0.4 (c) -2/17 c What is the closest to 25 in -0.5, 10, -0.0157, 1/3, 0.1, -0.2? 10 What is the closest to 4879 in -0.1, 1/75, -34? 1/75 What is the nearest to -1/361 in 8/185, 1/11, 2/11? 8/185 What is the nearest to 1 in 2/3, 660, 18? 2/3 What is the closest to 4/9 in 15.6, 3/5, 6, 0.02? 3/5 What is the closest to 12 in 0.054, 9, -3/2, -114? 9 What is the nearest to 3 in 13, -2/9, -0.074, -13? -0.074 Which is the nearest to 3/232? (a) 5/39 (b) 2 (c) -2/5 a Which is the nearest to -9976? (a) 4 (b) -4 (c) 5 (d) 2/553 b Which is the closest to 9? (a) -0.8 (b) 5 (c) -4 (d) -5 (e) -1811 b What is the nearest to 1 in -958, 3, -12, 1/7, 1/3? 1/3 Which is the nearest to 0? (a) -331 (b) -3/2 (c) -4/3 (d) 643/11 (e) 0.3 e What is the closest to 0.4025 in 55, 0.8, -0.5? 0.8 Which is the closest to 811? (a) 3/352 (b) -0.04 (c) -4 a Which is the closest to -0.1? (a) 1/3 (b) -0.767 (c) -2/9 (d) -9 (e) 146/3 c Which is the nearest to -639? (a) -0.5 (b) -1 (c) -5/11 (d) -2/13 (e) -3 (f) -2 e Which is the closest to -10.15? (a) -3 (b) 2/109 (c) -6 c What is the nearest to 0 in -5, 1.6929, -6, 12/11? 12/11 Which is the nearest to -1? (a) -119593 (b) 0.4 (c) 665 b Which is the nearest to -95.7? (a) -3 (b) -5 (c) -0.017 b Which is the nearest to -2/57? (a) -5 (b) 3/8 (c) 2150686 b Which is the closest to -2912? (a) -4 (b) 3 (c) -1 (d) 0.1 (e) 0 a Which is the nearest to 0.1? (a) -3 (b) 8217 (c) 107 (d) 15 a What is the nearest to 40/137 in 0.29, -0.02, -4? 0.29 What is the nearest to -1 in -0.8, -0.9, 33, 5, -499? -0.9 Which is the closest to 0.1? (a) 0.08034 (b) 4 (c) 82 a What is the nearest to 9758 in 5, 0.0596, -4? 5 Which is the closest to -3/20? (a) -2160/29 (b) 1/2 (c) 7 b Which is the nearest to -468.92? (a) 13 (b) -0.4 (c) 0.3 (d) -0.1 (e) 2/3 b Which is the nearest to 195/11? (a) 247.1 (b) -1 (c) -5 (d) 2/25 d Which is the nearest to 2/6735? (a) 2/9 (b) 2/3 (c) -0.2 (d) -11 c What is the nearest to 5042 in 1/4, -7, 55/6? 55/6 What is the nearest to -0.1 in 1154, 243, 0.5? 0.5 What is the nearest to -853 in -37, 3, 0.4, -0.2? -37 What is the nearest to -10 in -4/171, -59, 0? -4/171 Which is the nearest to 1/2? (a) -460 (b) -3/5 (c) -3 (d) 1 (e) -14.1 d Which is the closest to -3/5? (a) -17 (b) 33 (c) -254.7 a What is the closest to -19 in -3, 3369, 5/6? -3 Which is the closest to 2/6721? (a) 4 (b) 5/4 (c)
{ "pile_set_name": "DM Mathematics" }
82522015 What is the r'th term of 18437, 36652, 54809, 72908? -29*r**2 + 18302*r + 164 What is the q'th term of -4452, -9571, -15364, -21831, -28972, -36787, -45276? -337*q**2 - 4108*q - 7 What is the q'th term of -119063, -237755, -356447, -475139, -593831, -712523? -118692*q - 371 What is the a'th term of 4279997, 8559992, 12839987? 4279995*a + 2 What is the y'th term of -5137, -20794, -46885, -83416, -130393, -187822, -255709? -y**3 - 5211*y**2 - 17*y + 92 What is the y'th term of -2796310, -2796316, -2796326, -2796340, -2796358, -2796380? -2*y**2 - 2796308 What is the m'th term of -509, -1907, -4205, -7403, -11501? -450*m**2 - 48*m - 11 What is the g'th term of -389097, -388958, -388819, -388680, -388541? 139*g - 389236 What is the o'th term of -3000, -23778, -79956, -189156, -369000, -637110, -1011108? -2937*o**3 - 78*o**2 + 15*o What is the n'th term of 4875, 9340, 13811, 18282, 22747? -n**3 + 9*n**2 + 4445*n + 422 What is the s'th term of 14940, 18751, 22564, 26379, 30196? s**2 + 3808*s + 11131 What is the w'th term of -754, -2331, -4948, -8605, -13302? -520*w**2 - 17*w - 217 What is the c'th term of 3303, 3512, 3735, 3972, 4223, 4488, 4767? 7*c**2 + 188*c + 3108 What is the b'th term of 640370532, 640370530, 640370528, 640370526? -2*b + 640370534 What is the r'th term of 1469, 3712, 5983, 8288, 10633, 13024, 15467? r**3 + 8*r**2 + 2212*r - 752 What is the m'th term of -532447, -4259288, -14374991, -34073986, -66550703, -114999572, -182615023? -532405*m**3 - m**2 - 3*m - 38 What is the o'th term of 4858, 10700, 16530, 22342, 28130? -o**3 + 5849*o - 990 What is the o'th term of -11403, -6202, -1003, 4194, 9389? -o**2 + 5204*o - 16606 What is the q'th term of 29160, 29422, 29662, 29868, 30028, 30130, 30162? -2*q**3 + q**2 + 273*q + 28888 What is the m'th term of 5312530, 5312531, 5312532? m + 5312529 What is the v'th term of 3678898, 3678945, 3678992, 3679039, 3679086, 3679133? 47*v + 3678851 What is the l'th term of 1993354, 7973247, 17939732, 31892809? 1993296*l**2 + 5*l + 53 What is the z'th term of 15138, 15144, 15138, 15120? -6*z**2 + 24*z + 15120 What is the n'th term of -482581, -481166, -479751, -478336? 1415*n - 483996 What is the g'th term of -4605, -5373, -6597, -8283, -10437, -13065, -16173? -g**3 - 222*g**2 - 95*g - 4287 What is the s'th term of 207445257, 207445255, 207445251, 207445245? -s**2 + s + 207445257 What is the v'th term of -6590762, -6590756, -6590750, -6590744, -6590738, -6590732? 6*v - 6590768 What is the k'th term of 141885, 141895, 141925, 141981, 142069, 142195? k**3 + 4*k**2 - 9*k + 141889 What is the a'th term of -3386, -25235, -84530, -199991, -390338, -674291, -1070570? -3120*a**3 - 3*a**2 - 263 What is the g'th term of 15013, 29266, 43519, 57772, 72025, 86278? 14253*g + 760 What is the r'th term of -46180413, -46180417, -46180421, -46180425, -46180429? -4*r - 46180409 What is the v'th term of -384033, -768053, -1152045, -1535997, -1919897, -2303733, -2687493, -3071165? 2*v**3 + 2*v**2 - 384040*v + 3 What is the y'th term of -16104, -64547, -145344, -258495, -404000, -581859? -16177*y**2 + 88*y - 15 What is the r'th term of -1502, -5970, -13356, -23612, -36690, -52542, -71120, -92376? 8*r**3 - 1507*r**2 - 3*r What is the t'th term of -488, -516, -550, -590, -636, -688? -3*t**2 - 19*t - 466 What is the x'th term of 327, 2271, 7119, 16161, 30687? 215*x**3 + 162*x**2 - 47*x - 3 What is the q'th term of 10240, 20916, 31592? 10676*q - 436 What is the w'th term of -113983, -228052, -342203, -456430, -570727? w**3 - 47*w**2 - 113935*w - 2 What is the i'th term of -39346, -67711, -96076, -124441, -152806, -181171? -28365*i - 10981 What is the i'th term of 43209, 43064, 42919, 42774? -145*i + 43354 What is the u'th term of 2677, 5356, 8035, 10714, 13393? 2679*u - 2 What is the l'th term of 365808, 731250, 1096692? 365442*l + 366 What is the m'th term of 723, 1622, 2713, 3996, 5471, 7138? 96*m**2 + 611*m + 16 What is the f'th term of 271599, 2173055, 7334155, 17384721, 33954575, 58673539, 93171435, 139078085? 271637*f**3 - 3*f - 35 What is the q'th term of 86910, 173716, 260522, 347328, 434134, 520940? 86806*q + 104 What is the t'th term of -160296, -160315, -160348, -160395? -7*t**2 + 2*t - 160291 What is the m'th term of 116583, 116508, 116287, 115842, 115095, 113968? -13*m**3 + 5*m**2 + m + 116590 What is the u'th term of -70645, -70607, -70569, -70531? 38*u - 70683 What is the s'th term of 17146910, 34293821, 51440732, 68587643, 85734554? 17146911*s - 1 What is the v'th term of 238, 2815, 7734, 14995, 24598, 36543? 1171*v**2 - 936*v + 3 What is the u'th term of -2128023, -8512115, -19152271, -34048491, -53200775, -76609123? -2128032*u**2 + 4*u + 5 What is the r'th term of -171501, -171432, -171363? 69*r - 171570 What is the q'th term of 1438, 3352, 6416, 11206, 18298, 28268? 96*q**3 - q**2 + 1245*q + 98 What is the a'th term of -114404, -228770, -343136, -457502? -114366*a - 38 What is the p'th term of 127378325, 127378328, 127378333, 127378340, 127378349, 127378360, 127378373? p**2 + 127378324 What is the t'th term of 1452995, 1453012, 1453047, 1453106, 1453195, 1453320, 1453487? t**3 + 3*t**2 + t + 1452990 What is the l'th term of 8583, 8602, 8645, 8730, 8875, 9098, 9417? 3*l**3 - 6*l**2 + 16*l + 8570 What is the o'th term of 150966, 150760, 150408, 149904, 149242, 148416, 147420? -o**3 - 67*o**2 + 2*o + 151032 What is the i'th term of -23221991, -46443980, -69665969, -92887958, -116109947, -139331936? -23221989*i - 2 What is the v'th term of 16730, 16731, 16770, 16841, 16938, 17055? -v**3 + 25*v**2 - 67*v + 16773 What is the t'th term of 2877, 1533, -2125, -9255, -21015, -38563, -63057? -193*t**3 + t**2 + 4*t + 3065 What is the f'th term of 554489, 1108976, 1663463? 554487*f + 2 What is the p'th term of 111432, 217846, 324260, 430674? 106414*p + 5018 What is the j'th term of -150, -909, -2270, -4233, -6798? -301*j**2 + 144*j + 7 What is the k'th term of 1206436327, 2412872653, 3619308979, 4825745305? 1206436326*k + 1 What is the p'th term of 44094448, 88188903, 132283358, 176377813? 44094455*p - 7 What is the g'th term of 7367, 7301, 7193, 7043, 6851? -21*g**2 - 3*g + 7391 What is the v'th term of -684020, -1368471, -2052924, -2737379, -3421836, -4106295? -v**2 - 684448*v + 429 What is the n'th term of 685, 4102, 9803, 17788, 28057, 40610, 55447? 1142*n**2 - 9*n - 448 What is the v'th term of 11916, 23889, 35862, 47835, 59808, 71781? 11973*v - 57 What is the a'th term of -989194, -989263, -989334, -989407? -a**2 - 66*a - 989127 What is the c'th term of 560933888, 560933887, 560933886, 560933885, 560933884? -c + 560933889 What is the f'th term of 666, 977, 1126, 1119, 962, 661, 222, -349? f**3 - 87*f**2 + 565*f + 187 What is the t'th term of 38224, 154704, 348836, 620620, 970056, 1397144? 38826*t**2 + 2*t - 604 What is the l'th term of 4840843, 9681703, 14522563? 4840860*l - 17 What is the w'th term of 4656, 18894, 42630, 75864, 118596? 4749*w**2 - 9*w - 84 What is the b'th term of 8469, 16871, 25301, 33765, 42269, 50819? b**3 + 8*b**2 + 8371*b + 89 What is the z'th term of -43841, -92608, -146301, -204920, -268465, -336936, -410333? -2463*z**2 - 41378*z What is the b'th term of 5312, 8982, 12652, 16322, 19992, 23662? 3670*b + 1642 What is the o'th term of -568479, -568480, -568481? -o - 568478 What is the v'th term of -340, -1217, -2630, -4579, -7064? -268*v**2 - 73*v + 1 What is the n'th term of 384622, 769250, 1153878? 384628*n - 6 What is the c'th term of 13656680, 27313381, 40970082, 54626783? 13656701*c - 21 What is the d'th term of -69085, -69153, -69351, -69745, -70401, -71385, -72763, -74601? -11*d**3 + d**2 + 6*d - 69081 What is the n'th term of -7274622, -14549247, -21823872? -7274625*n + 3 What is the a'th term of 134789662, 134789652, 134789636, 134789614? -3*a**2 - a + 134789666 What is the q'th term of -94733, -190149, -285565, -380981? -95416*q + 683 What is the w'th term of -74499, -148561, -222621, -296679, -370735, -444789, -518841? w**2 - 74065*w - 435 What is the i'th term of 336, 787, 1424, 2253, 3280, 4511? i**3 + 87*i**2 + 183*i + 65 What is the o'th term of -807, -2271, -4675, -7995, -12207, -17287, -23211? 4*o**3 - 494*o**2 - 10*o - 307 What is the g'th term of -2984438, -29844
{ "pile_set_name": "DM Mathematics" }
pose 4*l = -10*f + 9*f + 118, 0 = f - 2. Let q(s) be the first derivative of l*s + 0*s**2 - 8/3*s**3 - 16. Differentiate q(g) with respect to g. -16*g Let o(d) be the third derivative of 71*d**7/210 + 5*d**4/24 - 944*d**3 - 71*d**2 + 18*d + 2. Differentiate o(k) with respect to k. 284*k**3 + 5 Let t = 8693 - 8673. Let f(w) be the third derivative of 0*w + 0*w**4 + 1/20*w**5 + 16/3*w**3 + 0 - t*w**2. Differentiate f(h) with respect to h. 6*h Let x(s) be the third derivative of 9143*s**9/504 + 9*s**5/20 - 20*s**3 - 7421*s**2. Find the third derivative of x(t) wrt t. 1097160*t**3 Let r be (-18)/(-7)*(-7)/(-3). Find the third derivative of -37 + 203*a**r - 3*a**2 + 7435*a**4 - 7435*a**4 wrt a. 24360*a**3 Let g be 93*20/36 + (-4)/6. Suppose -a - g = 2*n - 396, -3*a + 1010 = n. What is the third derivative of -a*s**3 + 341*s**3 + 0*s**2 + s**2 wrt s? 36 Let n(m) = -m + 4. Suppose 0 = -4*t - 72 + 80. Let u be n(t). Find the third derivative of 0*v**5 - 11*v**5 - v**4 + 3*v**u + v**4 wrt v. -660*v**2 Suppose 0 = 4*i - x + 171, i + 213 = -4*i + 2*x. Let v = i - -45. Differentiate 2*j**2 - 4 + j**v + 9*j**2 with respect to j. 24*j Let x(w) be the third derivative of -86*w**2 + 0 - 41/8*w**4 + 0*w + 41/3*w**3. Differentiate x(a) with respect to a. -123 Let g(f) be the first derivative of 3580*f**3/3 + 1730*f + 5279. Find the first derivative of g(z) wrt z. 7160*z Suppose -5 = -5*s, -s + 0*s + 10 = 3*l. What is the second derivative of -11*v**l + 1172*v**2 + 17*v - 1172*v**2 wrt v? -66*v Suppose k = -4*k. Suppose k = -5*s + 4*p + 19, -5*s - 5*p + 14 = -4*p. What is the third derivative of -80*g**s + 53*g**3 - 5*g + 5*g + 27*g**2 wrt g? -162 Let l(p) = -p**2 + 8*p + 9. Let d be l(7). Suppose -134 = -6*r + d. What is the second derivative of -10*z + 11*z**3 + 3*z + r*z**3 wrt z? 216*z Suppose o - 4*q - 16 = 0, 3*q - 42 = -2*o + q. Find the second derivative of -h - h - 23*h**2 + o + 23*h**2 - 20*h**4 wrt h. -240*h**2 Let p = -22 - -23. Let b be (17/(-5) + p)/((-44)/110). Find the third derivative of -h**5 - 58*h + 58*h + 8*h**2 - b*h**5 wrt h. -420*h**2 Let a(s) be the first derivative of -34/3*s**3 - 20 - 36/5*s**5 + 0*s + 0*s**4 + 0*s**2. What is the third derivative of a(d) wrt d? -864*d Let y(h) be the third derivative of 193*h**8/336 + h**7/210 + h**6/30 + h**5/15 + 850*h**3/3 - 8*h**2 - 4*h + 3. Find the third derivative of y(d) wrt d. 11580*d**2 + 24*d + 24 Let h = -9 - -10. Suppose 3*b - h = 5. What is the first derivative of 2*z**2 + 4*z**3 - b*z**2 - z**3 - 11 wrt z? 9*z**2 Let r be (-365)/(-10) - (-3)/(-6). Let y be (-1)/(-3) - 4/r*3. What is the third derivative of 5*x**2 + 4*x**5 + y*x**2 + 11*x**5 + 0*x**5 wrt x? 900*x**2 Let c be 2/(6/(-2) + 11/3). Find the third derivative of -22*o + 36*o**4 - 2*o**2 + 6*o**3 + 18*o - 8*o**c wrt o. 864*o - 12 Suppose 0 = -5*z + 121 - 156. Let n(f) = f**3 + 7*f**2 - 3*f - 2. Let a be n(z). Find the second derivative of -14*s + 40*s**2 - a*s**2 - 4*s wrt s. 42 Let n(j) be the first derivative of 5*j**4/4 + 2*j**3/3 - 87*j**2 - 194*j - 225. Let t(q) be the first derivative of n(q). Differentiate t(l) wrt l. 30*l + 4 Find the second derivative of -a**3 - 5449709*a - 2*a**4 + 5464653*a - 94*a**2 - 2*a**4 wrt a. -48*a**2 - 6*a - 188 Let q(m) be the third derivative of -1/6*m**4 - 3*m**3 + 29/168*m**8 + 0*m**7 + 0*m**6 + 0*m + 3*m**2 + 0*m**5 - 7. Find the second derivative of q(j) wrt j. 1160*j**3 Let q(g) be the third derivative of 4009*g**4/24 - 5447*g**3/6 + 774*g**2. Differentiate q(w) wrt w. 4009 Find the second derivative of -161*o**3 - 321*o**3 + 118*o**3 - o**2 - 2*o**4 - 1265 + 1263 + 1372*o - 266*o wrt o. -24*o**2 - 2184*o - 2 Let g(k) = -150*k**4 + 10*k - 1125. Let m(v) = 225*v**4 - 16*v + 1687. Let h(b) = 8*g(b) + 5*m(b). Differentiate h(u) wrt u. -300*u**3 Let s be -1 + (-14 - -21) - 6. Let x(j) be the first derivative of 0*j**4 + 4/5*j**5 - 14 + 0*j**3 + s*j**2 - 13*j. Differentiate x(b) with respect to b. 16*b**3 Let c(i) be the first derivative of -31*i**3/3 - 831*i**2/2 - 685. What is the second derivative of c(h) wrt h? -62 Let i(c) = -1474*c**3 - 10*c**2 + 959*c + 5. Let l(z) = 1474*z**3 + 8*z**2 - 960*z - 4. Let b(j) = 4*i(j) + 5*l(j). What is the second derivative of b(t) wrt t? 8844*t Suppose -2124 = -26*b + 23*b. What is the derivative of -b - 40*k + 677 - 92*k wrt k? -132 Differentiate -604 + 172*d**3 + 182*d**2 - 382*d**2 + 200*d**2 with respect to d. 516*d**2 Let b(k) = k**2 - 10*k - 6. Let f be b(11). Let y be f + (2 - (8 + -4)). Differentiate 12 - 2*i**3 - 2*i**3 - 2*i**y wrt i. -18*i**2 Let p(r) = -3*r**2 - 518*r + 3143. Let f(u) = -2*u**2 - 518*u + 3150. Let y(c) = 4*f(c) - 3*p(c). Find the first derivative of y(o) wrt o. 2*o - 518 Let j(z) be the second derivative of -2521*z**5/20 + 2861*z**3/3 - 4962*z. Find the second derivative of j(n) wrt n. -15126*n Let n(k) = -4*k**2 + 2*k + 5. Let s be n(0). Let u(g) = -123*g + 356. Let d(y) = -82*y + 238. Let w(o) = s*u(o) - 8*d(o). Differentiate w(h) with respect to h. 41 Let r = -6 + 8. Suppose -156*c + 159*c - 45 = 0. What is the second derivative of -3*w**r + 6*w**2 + 10*w**2 - c*w - 3*w**2 wrt w? 20 Find the second derivative of -12 - 386*k + 13 - 2955*k**5 - 1325*k - 787*k - 930*k wrt k. -59100*k**3 Let t(d) be the second derivative of 2113*d**4/12 + d**3/6 - 99*d**2/2 - 355*d. Find the second derivative of t(s) wrt s. 4226 Suppose -17 = 4*c + 3*l - 69, -2*c = -l - 16. Let m be ((-100)/c)/(4/(-454)). Find the second derivative of 4*i + 3*i - 1121*i**3 + m*i**3 wrt i. 84*i Let b(c) be the third derivative of 1514*c**7/35 + 8263*c**4/24 - 2*c**2 + 404. What is the second derivative of b(h) wrt h? 109008*h**2 Let x(t) = t**3 + 18*t**2 - 42*t + 1. Let i be x(-20). Find the first derivative of -36 - 24*s - 19 - i*s wrt s. -65 Let r = 222 - 218. Find the second derivative of -z**5 + 1234*z**3 - 1234*z**3 + r*z wrt z. -20*z**3 Let k = 24150 + -24150. Let m(j) be the second derivative of 0*j**3 + 0 - 5/6*j**6 - 17*j**2 + 6*j + k*j**5 + 0*j**4. Differentiate m(h) with respect to h. -100*h**3 Suppose 0 = z - 79 - 65. Differentiate -151 + 308 + 34*d**2 - z with respect to d. 68*d Let f(w) be the first derivative of 1017*w**4 - 3428*w + 2957. Differentiate f(z) with respect to z. 12204*z**2 Suppose 29 - 19 = -5*o. Let c be -2*(1 - 2)*(-3)/o. Find the second derivative of -6*j**3 + 14*j + 12*j**c - 26*j**3 wrt j. -120*j Let z(t) = 3*t**2 + 1421*t - 1541. Let j(s) = -2*s**2 - 947*s + 1029. Let m(i) = 7*j(i) + 5*z(i). Differentiate m(u) with respect to u. 2*u + 476 Let x(w) = 2925*w**3 - 863*w**2 - 2. Let u(a) = -2*a**3 + a**2 - 1. Let j(d) = 2*u(d) - x(d). What is the third derivative of j(r) wrt r? -17574 Let u(l) be the third derivative of 49*l + 0*l**3 + 0 - 1/8*l**6 + 0*l**4 + 2*l**2 + 1/10*l**5. What is the third derivative of u(a) wrt a? -90 Let m(a) be the first derivative of -a**4/2 + 411*a**2/2 - 964*a + 1531. Differentiate m(t) with respect to t. -6*t**2 + 411 Let f(k) be the third derivative of -5/6*k**3 + 0*k + 5/12*k**4 - k**2 + 107 + 77/20*k**5. Find the second derivative of f(g) wrt g. 462 Let k(w) = -w**2 + 10*w + 18. Let t = 95 - 84. Let r be k(t). Find the second derivative of r*q - 14*q + 34*q + 41*q**4 wrt q. 492*q**2 Suppose -c + 231 = -l, -5*c + 1151 = 9*l - 12*l. Find the second derivative of -61*v**2 - c*v + 141*v**2 + 149*v**2 + 57*v - 37*v**2 wrt v. 384 Suppose 8*t + t = 0. Suppose 3*n + t*v - 24 = -v, -n + 4*v + 8 = 0. Find the first derivative of 2*j + 6*j - 11*j**4 + 12 - n*j wrt j. -44*j**3 What is the derivative of 423 + 1292*a - 1426*a + a**3 - 2093 wrt a? 3*a**2 - 134 Find the second derivative of 17*m + 295*m - 2007*m**3 + 168*m - 824 + 824 wrt m. -12042*m Differentiate 2551*i + 8066*i + 1333 - 42 + 2995 + 5279 wrt i. 10617 Let t(u) = 9*u**2 + 47*u + 311. Let b(s) = 2*s**2 + 1. Let c(a) = 4*b(a) - t(a). What is the first derivative of c(o) wrt o? -2*o - 47 Let y(o) be the third derivative of -27*o**6/20 - 13*o**5/60 + 35*o**3/3 + 2383*o**2. Find the third derivative of y(b) wrt b. -972 Let a be 207/54 - 2/(-12). What is the third derivative of 6*g**4 + 4234*g - 2*g**2 + 2*g**a - 4231*g - 13*g**3 wrt g? 192*g - 78 What is the derivative of -431*j + 49*j + 242*j + 7619 - 224*j - 411*j wrt j? -775 Let c be 16 + (2
{ "pile_set_name": "DM Mathematics" }
-160/421 What is -1350576 divided by 1992? -678 Divide 9036 by -753. -12 Calculate -103720 divided by 5. -20744 Calculate 218954 divided by -83. -2638 Calculate 712040 divided by 4. 178010 Divide 2 by 63212. 1/31606 Divide -475 by 137. -475/137 Calculate -384736 divided by -4372. 88 Divide 176405 by -35281. -5 What is 772768 divided by 2542? 304 3044576 divided by 2 1522288 What is -330 divided by 30? -11 Calculate -61658 divided by 5. -61658/5 What is -7653 divided by 33? -2551/11 Calculate 337644 divided by 9379. 36 What is -6684 divided by 8? -1671/2 Divide 28367 by 6. 28367/6 Calculate -65730 divided by 20. -6573/2 -16440 divided by -8220 2 41847 divided by 7 41847/7 5 divided by -10536 -5/10536 What is 0 divided by -12004? 0 What is -8017 divided by 1? -8017 Divide -83731 by -3. 83731/3 Calculate 751850 divided by -1367. -550 Calculate -264987 divided by 6. -88329/2 Divide -183240 by -45810. 4 -18 divided by -1487 18/1487 Divide 16656 by -5552. -3 Divide -141 by -2507. 141/2507 Calculate 178637 divided by -5. -178637/5 -5 divided by -9371 5/9371 What is -20260 divided by 20260? -1 -415602 divided by 6 -69267 -20021 divided by -39 20021/39 Divide 20856 by -24. -869 Calculate 201101 divided by 4. 201101/4 398 divided by 78 199/39 -44364 divided by -44364 1 3 divided by 37824 1/12608 Calculate 1741648 divided by -1592. -1094 What is 319039 divided by -5? -319039/5 252068 divided by -4 -63017 Calculate 178704 divided by -29784. -6 92858 divided by 46429 2 Divide 4 by 35823. 4/35823 Divide -10 by -54226. 5/27113 Calculate 3756 divided by -355. -3756/355 Divide -31874 by -3. 31874/3 What is -758280 divided by -189570? 4 Calculate -4200 divided by 7. -600 Calculate -65996 divided by -3. 65996/3 Divide -8398 by 19. -442 -2120836 divided by 2 -1060418 12156 divided by 3039 4 154000 divided by 20 7700 What is 32544 divided by 1017? 32 -66 divided by -83506 33/41753 What is -4 divided by -9083? 4/9083 What is 59402 divided by -17? -59402/17 78840 divided by 26280 3 Calculate 15 divided by 10610. 3/2122 -15552 divided by 216 -72 Divide 1259525 by -5. -251905 Divide 6 by -13652. -3/6826 Calculate 5 divided by 6962. 5/6962 746298 divided by -5 -746298/5 Divide 50606 by -3. -50606/3 What is -342208 divided by 64? -5347 3 divided by 320154 1/106718 Divide 17691 by -54. -5897/18 What is -2645 divided by 200? -529/40 15 divided by 235 3/47 Divide 6105 by 7. 6105/7 What is -3990168 divided by -936? 4263 2540946 divided by -19 -133734 What is 561 divided by 196? 561/196 What is -4527267 divided by 1509089? -3 What is -70045 divided by 5? -14009 Calculate -619 divided by 841. -619/841 21600 divided by -40 -540 What is -21184 divided by -10592? 2 Divide 593142 by -98857. -6 -148 divided by 6973 -148/6973 What is -140 divided by -9? 140/9 What is -4319520 divided by -3? 1439840 Calculate 1470658 divided by 146. 10073 What is 255612 divided by 6086? 42 What is -2640 divided by 33? -80 Calculate -172898 divided by 271. -638 Divide 43 by -55. -43/55 Calculate 1 divided by -282393. -1/282393 Divide -677 by 11. -677/11 31272 divided by 10424 3 Calculate 2 divided by -7695. -2/7695 Divide -1526461 by -1. 1526461 -37 divided by -526 37/526 What is -306336 divided by 3? -102112 What is -726142 divided by -1843? 394 What is 2 divided by 1052986? 1/526493 What is -142769 divided by 5? -142769/5 Calculate -1253238 divided by -3. 417746 What is -14 divided by -8645? 2/1235 Calculate 1583764 divided by -791882. -2 Calculate 760860 divided by 5. 152172 Divide 2554 by 2. 1277 76196 divided by 4 19049 Divide 413912 by 8. 51739 What is 12 divided by -22188? -1/1849 What is -75 divided by 1336? -75/1336 Divide -264969 by -59. 4491 -122 divided by -35 122/35 Calculate -22477 divided by 7. -3211 What is 83 divided by 572? 83/572 45333 divided by -73 -621 Divide 0 by 15490. 0 Calculate -107305 divided by -21461. 5 Calculate -77148 divided by 19287. -4 What is -21844 divided by -127? 172 Calculate -200468 divided by -92. 2179 -1740 divided by -12 145 -72384 divided by -1392 52 Calculate -703950 divided by 130. -5415 Calculate 1163875 divided by -232775. -5 Calculate 6904 divided by -863. -8 87255 divided by -1385 -63 Calculate -1 divided by 217696. -1/217696 Divide 1371552 by -52752. -26 Calculate -42528 divided by -42528. 1 -18084 divided by -54 3014/9 What is -1849 divided by -32? 1849/32 Calculate -190050 divided by -15. 12670 -12096 divided by 54 -224 What is -44 divided by 165539? -4/15049 59 divided by -610 -59/610 Divide 208411 by -1. -208411 What is 103509 divided by 1? 103509 What is -3872 divided by 22? -176 -51 divided by 132525 -17/44175 -2822555 divided by -564511 5 Calculate 2117040 divided by -44105. -48 -30213 divided by -5 30213/5 Divide -3556 by 30. -1778/15 Divide 27144 by 6. 4524 Divide -80848 by 124. -652 Divide -15574 by -2. 7787 What is 16 divided by 6795? 16/6795 What is 80073 divided by 123? 651 What is 55 divided by -5? -11 What is -150731 divided by -3? 150731/3 Divide -1015920 by 1020. -996 -151957 divided by -11689 13 Divide -150879 by -57. 2647 4742 divided by -761 -4742/761 What is -220 divided by -558? 110/279 What is -760802 divided by 434? -1753 What is 5 divided by 39069? 5/39069 Calculate 5632 divided by -12. -1408/3 Divide -72 by -4620. 6/385 726977 divided by 4 726977/4 Divide -772128 by 126. -6128 Calculate 45180 divided by -5. -9036 Calculate 12 divided by 7096. 3/1774 -23805 divided by -1 23805 What is -691736 divided by 345868? -2 Divide 0 by -31033. 0 Calculate -145 divided by -13949. 5/481 Divide 11312 by 6. 5656/3 -91496 divided by -11437 8 Calculate -7508 divided by -15. 7508/15 What is 1325720 divided by 5? 265144 19 divided by 156422 19/156422 Divide -7 by -67748. 7/67748 Divide -32068 by 2. -16034 What is -33911 divided by -5? 33911/5 Calculate 6620987 divided by 109. 60743 Divide -24658 by 2. -12329 Calculate 6 divided by 1908. 1/318 What is 63796 divided by 4? 15949 Divide 7929 by -11. -7929/11 Divide -813175 by -5. 162635 Calculate 1876478 divided by 2. 938239 What is 5 divided by 315577? 5/315577 -2534350 divided by -2275 1114 Calculate 16192 divided by 506. 32 Calculate 110256 divided by 18376. 6 Calculate -60 divided by 44191. -60/44191 Divide 83254 by -15. -83254/15 Calculate -2819 divided by 70. -2819/70 What is 5 divided by 3989? 5/3989 Divide 5616 by -104. -54 What is -2582 divided by -381? 2582/381 Calculate 5 divided by -153300. -1/30660 What is 32 divided by 1599? 32/1599 Divide -7086 by 54. -1181/9 Divide 45926 by 2. 22963 Divide 5 by -39699. -5/39699 What is 3 divided by 9464? 3/9464 Divide -157 by -365. 157/365 116 divided by -3477 -116/3477 Divide -127 by 5746. -127/5746 Calculate -34725 divided by 6945. -5 Divide 3926920 by 392692. 10 26160 divided by -60 -436 44 divided by 3360 11/840 What is 8015 divided by -2? -8015/2 What is -980 divided by -14? 70 What is 265 divided by -6? -265/6 Calculate -34483 divided by -2. 34483/2 Divide 14858 by 14858. 1 What is 4376 divided by 4376? 1 -8966 divided by 1 -8966 6 divided by -2511 -2/837 What is -313890 divided by 20926? -15 112 divided by -22 -56/11 What is 985222 divided by -985222? -1 Calculate 471974 divided by -2. -235987 What is -39482 divided by 5? -39482/5 -23773 divided by -154 23773/154 Calculate -18538 divided by -713. 26 37 divided by 1448 37/1448 Divide 1038216 by 346072. 3 Calculate 2037 divided by 9. 679/3 Calculate -7340 divided by 25. -1468/5 What is -7331 divided by -1? 7331 -2612 divided by -232 653/58 Calculate 4718420 divided by -168515. -28 3203 divided by 5 3203/5 Divide 560 by -294. -40/21 532 divided by 57 28/3 -2315 divided by -332 2315/332 Divide 313410 by -93. -3370 Calculate -4 divided by -66672. 1/16668 What is -3339284 divided by 13? -256868 Divide 0 by 79. 0 Calculate 802708 divided by -200677. -4 Calculate -118482 divided by 546. -217 Divide 310155 by -713. -435 14940 divided by -5 -2988 Divide 257618 by 2. 128809 Divide 342450 by 114150. 3 Divide -5234555 by -1. 5234555 1692 divided by 2278 846/1139 What is 7241 divided by 10? 7241/10 Divide 227 by 154. 227/154 Divide -2 by -476375. 2/476375 Divide -27 by 3431. -27/3431 Divide -72967 by -131. 557 What is 6697 divided by -1? -6697 What is 603 divided by 436? 603/436 Divide -301727 by 2.
{ "pile_set_name": "DM Mathematics" }
) + 5. Suppose -h*r = -2*v + 26, 0*v = -5*v - 3*r + 130. What are the prime factors of v? 23 Let x be (14/3)/(1/(-3)). Let g = -10 - x. Let n = -1 + g. List the prime factors of n. 3 Suppose -2*v + 201 - 17 = 0. What are the prime factors of v? 2, 23 Let c(m) = -3*m + 2. Let y(q) = -7*q + 5. Let h(p) = -9*c(p) + 4*y(p). What are the prime factors of h(-10)? 2, 3 Let b(q) = q**2 + 4*q. Let j be (-94)/(-10) + 9/15. Let a = j + -16. What are the prime factors of b(a)? 2, 3 Let z(m) be the first derivative of 11*m**4/12 + m**3/6 + 2*m + 4. Let u(i) be the first derivative of z(i). List the prime factors of u(1). 2, 3 Suppose -x + 6*x = -2*z - 7, 0 = -z - 3*x - 5. Let s(i) be the second derivative of i**3/2 - 5*i**2/2 - i. List the prime factors of s(z). 7 Suppose -3*h - 412 = 74. Let q = -105 - h. List the prime factors of q. 3, 19 What are the prime factors of (550/(-4))/(-5)*4? 2, 5, 11 Let s be 0*3/((-9)/(-3)). Let w be (-18)/(1/(-1 - s)). Let y = 29 - w. What are the prime factors of y? 11 Let b be (-12)/21*21/(-6). Suppose -z + 26 = b*f + 3*z, 0 = 4*f - 4*z - 64. What are the prime factors of f? 3, 5 List the prime factors of ((-9)/6)/((-5)/230). 3, 23 Suppose 5*p - p = 780. Suppose -5*r + p = 4*h, 3*h = r - 18 - 2. Suppose -5*q = 5*y - r, -32 = -y + q + 3*q. What are the prime factors of y? 2, 3 Let v(n) = 5 + 0*n + 0*n + 5 + n. Let b(c) = 2*c + 10. Let y(j) = -2*b(j) + 3*v(j). What are the prime factors of y(8)? 2 Let h be 4 - 12 - (-2)/(-2). What are the prime factors of (-1 - h/6)*36? 2, 3 Let z(l) = -3*l + l + l**2 + l + 0*l + 1. Let i be z(2). Let r(w) = w**2 - w + 2. List the prime factors of r(i). 2 Suppose -10*g + 11*g = 105. What are the prime factors of g? 3, 5, 7 Let m = 29 - 16. Let c(n) = -n**2 + 4*n - 5. Let b be c(4). Let z = m + b. List the prime factors of z. 2 Let f = 59 - 109. Let b = -36 - f. What are the prime factors of b? 2, 7 Suppose 0 = -2*x - 0*x - 3*q + 127, 0 = 2*x - 3*q - 97. Suppose -4*t = -4*y - 0*t + x, 0 = -5*y - 5*t + 30. List the prime factors of y. 2, 5 Let g = -46 + -37. Let q = g + 161. Suppose -5*b - 37 = -3*k, -5*k + q = -2*b + 10. List the prime factors of k. 2, 7 Suppose 0 = -5*y + a + 1430, 0*y - 3*y + 870 = -3*a. What are the prime factors of y? 3, 5, 19 Suppose 3*f - 3*t - 384 = 0, -5*f + 455 = t - 179. What are the prime factors of f? 127 Let u(p) = p - 4. Let a(c) = c**3 - 7*c**2 - 6*c - 10. Let s be a(8). Let i be u(s). List the prime factors of (0 - i)/((-8)/12). 3 Let r(u) = u**3 + 23*u**2 + 18*u + 17. List the prime factors of r(-22). 3, 5, 7 Let u be 170/6 + 4/(-12). Suppose 5*w - 3*l - 43 = -2*l, 4*l + u = 2*w. Suppose j - w = -0*j. What are the prime factors of j? 2 Let p(u) = -5*u - 11 + 17 + u + u**2. What are the prime factors of p(8)? 2, 19 Let g be (-1544)/(-32) - (-2)/(-8). Suppose -3*o = 4*u - g, 4*o - 32 = 2*o + u. What are the prime factors of o? 2 Let b be 15/30*(-12)/(-2). Suppose 0 = -5*s + n + 2*n - 15, -s + 3*n - 15 = 0. What are the prime factors of s + (b*-18)/(-3)? 2, 3 Suppose 3 = -2*c + 7. Suppose -2*p - k = 2*p - 28, 5*k + 36 = c*p. List the prime factors of p. 2 Let x(m) = m**3 + m - 2. Let b be (-6)/(-9) - 8/(-6). List the prime factors of x(b). 2 Suppose -3*y = -2*y - 165. List the prime factors of y. 3, 5, 11 Suppose 3*m + 3*d - 15 = 0, 17 = m - d + 6. Suppose -2*v + m = -v. Let q = -1 + v. What are the prime factors of q? 7 Suppose 3*v - 232 = -4*u, 3*v - 247 = 3*u - 4*u. Suppose 4*o + 24 = v. List the prime factors of o. 3, 5 Suppose 2*d = 3*i - 15, -20 = -3*i + 4*d + 1. Suppose 27 = 4*v - i*a, 5*v + 0*a - 42 = a. Suppose -v = -0*f - f. What are the prime factors of f? 3 Suppose -40*p + 402 = -34*p. What are the prime factors of p? 67 Let f = 12 + 4. What are the prime factors of f? 2 Suppose 4*z + b = 425, -3*b + 550 = 5*z + 2*b. What are the prime factors of z? 3, 5, 7 Suppose -4*z - 7 = -27. Let k(t) be the second derivative of -t**5/20 + t**4/2 - t**3/6 - 3*t**2 - t. List the prime factors of k(z). 2, 7 Let p be 3/(-9) + (-76)/(-3). Let i = p + -9. List the prime factors of i. 2 Suppose -r - 5*y + 2 = 0, -4*r - 2*y + 8 = y. Suppose -4*p + r*p + 8 = 0. Suppose j + p*j - 26 = -3*x, 2*j = -3*x + 23. What are the prime factors of x? 7 Let j = 23 - -7. What are the prime factors of j? 2, 3, 5 Suppose 0*c + 4 = c. Suppose -101 = c*z + i, 0 = 4*z - 2*i - i + 97. Let y = z - -40. What are the prime factors of y? 3, 5 Let i be (3/9)/(2/12). Suppose 0 = z + i*t - 7*t, 2*z - 3*t - 28 = 0. Suppose -2*a + z = 3*a. What are the prime factors of a? 2 Suppose -3*g = g - 20. Let v = 9 - g. Suppose 5*t = v*t + 10. What are the prime factors of t? 2, 5 Let l = -3 - -2. Let z be 16/12*6/8. What are the prime factors of -1 - (3*l)/z? 2 Let y(m) = -m**2 + 8*m - 4. Let t be y(7). Suppose g + 51 = t*g + 3*o, 3*o = -g + 21. Suppose w = -w + g. What are the prime factors of w? 3, 5 Let t(a) = -2*a**2 - 24*a - 5. List the prime factors of t(-11). 17 Let z = -1 + 1. Suppose -2*r - 1 - 7 = 4*y, z = -4*r + y + 2. Suppose -4*b + 9*b - 40 = r. What are the prime factors of b? 2 Suppose 0 = 3*t + 3, -3*m + 347 - 51 = t. List the prime factors of m. 3, 11 Let d(g) = -13*g - 1 + 1 + 0. What are the prime factors of d(-1)? 13 Let f = 19 + -17. Suppose -59 = -c + 3*n - 6*n, -4*n = f*c - 112. List the prime factors of c. 2, 5 Let f(a) = -a**3 + 4*a**2 - 4*a + 4. Let m be f(4). Let g = m + 17. List the prime factors of g. 5 Suppose -a = 3*z - z - 1, 0 = -2*a - 6. Suppose -13 = -5*s + z. What are the prime factors of s? 3 Let w(v) = v. Suppose 0 = 3*c + 3*d - 9, 9 = -4*c - d + 4*d. Suppose c = 5*x + 15, -j + 52 = 4*j - 4*x. What are the prime factors of w(j)? 2 What are the prime factors of (-6)/3*(-4 - -1)*14? 2, 3, 7 Suppose x - 5 = 138. Suppose 119 = 4*f + 2*i + i, 5*f - 2*i = x. List the prime factors of f. 29 Let h(g) = 11*g**3 + 3*g**2 - 2*g + 1. What are the prime factors of h(3)? 11, 29 Let b = 21 + 70. What are the prime factors of b? 7, 13 Let a = 18 - 9. Let w(p) be the second derivative of p**3/3 - 3*p**2 + p. List the prime factors of w(a). 2, 3 Suppose -3*x + 25 = -14. Suppose 3 + x = -4*f. What are the prime factors of (-10)/(f + 1 - -1)? 5 Let p(i) be the second derivative of i**5/20 + i**4/12 + i**3/6 + 9*i**2/2 + 3*i. What are the prime factors of p(0)? 3 Let x(o) be the third derivative of o**6/120 + 7*o**5/60 - 5*o**4/12 - o**3 - 5*o**2. List the prime factors of x(-8). 2, 5 Let y = 35 - -4. List the prime factors of y. 3, 13 Let d be 7/(-28) - (-41)/4. Let r(a) = -a**3 + 11*a**2 - 7*a - 10. What are the prime factors of r(d)? 2, 5 Suppose 3*g - 18 = 2*g. Suppose 0 = 5*o + 25, 2*q - 31 = o + g. Suppose -67 = -5*u - q. What are the prime factors of u? 3 Suppose -6 = 3*o - 5*o. Let k(m) = 12*m - 1 - 3*m**3 - 9*m**2 - 3*m + 4*m**o. List the prime factors of k(8). 7 Let m be 2 + 0 + (0 - -1). Let c(p) = p**3 - 2*p**2 - 3*p + 1. Let b be c(m). Let i = 2 + b. What are the prime factors of i? 3 Let f(g) = g + 9. Let n be f(-8). Let u be -8*n*2/(-4). What are the prime factors of u/(-10) + 12/5? 2 Suppose -f - 3 = -4*x - x, -3*f + 8 = 2*x. Let m = f - 0. List the prime factors of m. 2 Let t = -89 - -352. What are the prime factors of t? 263 Let f be (2 + 12/(-9))*36. Suppose -2*r - 4*r = -f. List the prime factors of r. 2 Suppose 3*r - 15 = 0, 4*g + 0*g - 215 = 5*r. What are the prime factors of g? 2, 3, 5 Let v(h) = -h**2 - 10*h - 4. Let f be v(-9). Suppose 4*i + j - 31 = 0, f*i + j = -4*j + 35. What are the prime factors of i? 2 What are the prime factors of 1/1*(1 + 45)? 2, 23 Let u(x) be the second derivative of x**5/60 + 5*x**4/24 - 2*x**3/3 + x**2/2 + 3*x. Let m(j) be the first derivative of u(j). List the prime factors of m(-6). 2 Let u = 25 - 15. Suppose 9*d - 4*d - u = 0. Suppose -1 = -q + d. List the prime factors of q. 3 Let v be (-3 - -1) + (0 - -10). Let m(x) = 7 + v - 5 - 5 + 2*x. What are the prime factors of m(7)? 19 Let a(y) = 2*y**3 - 3*y**2 + y - 1. Let g be a(2). Let k = g + 0. What are the prime factors of k? 5 What are the prime factors of ((-164)/6)/((-16)/24)? 41 Suppose 4*a = -5*q + 3*q + 366, -2*q + 4*a + 366 = 0. List the prime factors of q. 3, 61 Suppose 0 = -19*i + 17*i + 56. What are the prime factors of i? 2, 7 What are the prime factors of 634/(-4)*(
{ "pile_set_name": "DM Mathematics" }
s of 6183117? 3, 687013 What are the prime factors of 1288898? 2, 13, 89, 557 List the prime factors of 374940. 2, 3, 5, 2083 List the prime factors of 364065. 3, 5, 13, 1867 List the prime factors of 78844. 2, 23, 857 What are the prime factors of 2455983? 3, 272887 List the prime factors of 7756772. 2, 113, 131 List the prime factors of 699905. 5, 139981 What are the prime factors of 5682725? 5, 23, 9883 List the prime factors of 310378. 2, 311, 499 What are the prime factors of 19239060? 2, 3, 5, 43, 7457 What are the prime factors of 7714895? 5, 97, 15907 What are the prime factors of 2789608? 2, 239, 1459 What are the prime factors of 1082805? 3, 5, 37, 1951 What are the prime factors of 166655? 5, 33331 What are the prime factors of 6169516? 2, 41, 37619 List the prime factors of 875787. 3, 11, 26539 What are the prime factors of 2985381? 3, 7, 47387 List the prime factors of 273357. 3, 7, 4339 List the prime factors of 1272980. 2, 5, 63649 What are the prime factors of 4017382? 2, 2008691 List the prime factors of 8043651. 3, 7, 11, 53, 73 List the prime factors of 1437181. 59, 24359 What are the prime factors of 847695? 3, 5, 31, 1823 List the prime factors of 585555. 3, 5, 103, 379 What are the prime factors of 670658? 2, 97, 3457 List the prime factors of 93147. 3, 61, 509 List the prime factors of 5081026. 2, 2540513 List the prime factors of 13208748. 2, 3, 7, 157247 What are the prime factors of 306106? 2, 41, 3733 What are the prime factors of 1057674? 2, 3, 409, 431 What are the prime factors of 737032? 2, 181, 509 List the prime factors of 6844742. 2, 1597, 2143 What are the prime factors of 207674? 2, 103837 List the prime factors of 1542878. 2, 771439 List the prime factors of 1346074. 2, 19, 35423 List the prime factors of 1093805. 5, 218761 What are the prime factors of 1578811? 13, 121447 What are the prime factors of 1864078? 2, 932039 What are the prime factors of 249219? 3, 27691 What are the prime factors of 471957? 3, 61, 2579 List the prime factors of 409389. 3, 136463 List the prime factors of 1149693. 3, 17, 22543 List the prime factors of 278585. 5, 55717 List the prime factors of 4640085. 3, 5, 19, 67 List the prime factors of 472369. 472369 List the prime factors of 468481. 13, 36037 What are the prime factors of 774142? 2, 387071 List the prime factors of 175967. 11, 17, 941 What are the prime factors of 780665? 5, 43, 3631 List the prime factors of 3633593. 643, 5651 What are the prime factors of 1493060? 2, 5, 74653 List the prime factors of 873123. 3, 291041 What are the prime factors of 5001417? 3, 17, 97, 337 What are the prime factors of 194008? 2, 24251 What are the prime factors of 5793018? 2, 3, 7, 11, 12539 List the prime factors of 13388244. 2, 3, 659, 1693 List the prime factors of 1556947. 7, 97, 2293 List the prime factors of 4537429. 13, 41, 8513 What are the prime factors of 7499974? 2, 37, 43, 2357 List the prime factors of 714848. 2, 89, 251 List the prime factors of 271557. 3, 11, 13, 211 What are the prime factors of 448834? 2, 17, 43, 307 What are the prime factors of 5181288? 2, 3, 7, 30841 What are the prime factors of 1205396? 2, 301349 What are the prime factors of 93016? 2, 7, 11, 151 What are the prime factors of 93623? 251, 373 What are the prime factors of 2040608? 2, 43, 1483 List the prime factors of 109060. 2, 5, 7, 19, 41 List the prime factors of 3263986. 2, 11, 89, 1667 List the prime factors of 188365. 5, 101, 373 List the prime factors of 1625639. 193, 8423 What are the prime factors of 4879106? 2, 2439553 List the prime factors of 7739806. 2, 751, 5153 List the prime factors of 267006. 2, 3, 44501 List the prime factors of 12094983. 3, 1343887 List the prime factors of 253080. 2, 3, 5, 19, 37 What are the prime factors of 1702973? 881, 1933 What are the prime factors of 1686717? 3, 179, 349 What are the prime factors of 106234? 2, 53117 List the prime factors of 426606. 2, 3, 97, 733 What are the prime factors of 203817? 3, 67939 What are the prime factors of 424625? 5, 43, 79 What are the prime factors of 198063? 3, 59, 373 What are the prime factors of 234594? 2, 3, 13033 List the prime factors of 1476915. 3, 5, 11, 8951 What are the prime factors of 323056? 2, 61, 331 List the prime factors of 345093. 3, 7, 16433 List the prime factors of 841975. 5, 33679 What are the prime factors of 183625? 5, 13, 113 List the prime factors of 20053093. 43, 113, 4127 What are the prime factors of 12775695? 3, 5, 19, 23, 1949 List the prime factors of 7226842. 2, 7, 389, 1327 List the prime factors of 716243. 11, 19, 23, 149 What are the prime factors of 1092243? 3, 43, 8467 List the prime factors of 958709. 23, 73, 571 What are the prime factors of 2356820? 2, 5, 117841 List the prime factors of 311764. 2, 41, 1901 What are the prime factors of 2967350? 2, 5, 17, 3491 What are the prime factors of 2244960? 2, 3, 5, 1559 What are the prime factors of 176714? 2, 149, 593 List the prime factors of 238072. 2, 29759 What are the prime factors of 5075253? 3, 37, 15241 What are the prime factors of 83756? 2, 20939 What are the prime factors of 4555681? 13, 350437 List the prime factors of 2362717. 7, 29, 103, 113 List the prime factors of 205486. 2, 127, 809 What are the prime factors of 88451? 11, 17, 43 List the prime factors of 1307619. 3, 23, 6317 List the prime factors of 1832168. 2, 13, 79, 223 List the prime factors of 12031. 53, 227 List the prime factors of 204115. 5, 40823 What are the prime factors of 1014367? 53, 19139 What are the prime factors of 456375? 3, 5, 1217 What are the prime factors of 7820810? 2, 5, 61, 12821 List the prime factors of 61639. 53, 1163 List the prime factors of 7440832. 2, 7, 17, 977 List the prime factors of 9477992. 2, 1184749 List the prime factors of 128524. 2, 11, 23, 127 List the prime factors of 17565. 3, 5, 1171 List the prime factors of 551712. 2, 3, 7, 821 What are the prime factors of 104894? 2, 179, 293 What are the prime factors of 239373? 3, 26597 What are the prime factors of 4853914? 2, 13, 186689 List the prime factors of 16647459. 3, 53, 104701 List the prime factors of 7906434. 2, 3, 23, 47, 53 List the prime factors of 1779393. 3, 7, 11, 7703 List the prime factors of 21064. 2, 2633 List the prime factors of 1090347. 3, 71, 5119 What are the prime factors of 226440? 2, 3, 5, 17, 37 What are the prime factors of 387710? 2, 5, 137, 283 What are the prime factors of 232147? 269, 863 What are the prime factors of 883563? 3, 53, 5557 What are the prime factors of 4456138? 2, 109, 20441 What are the prime factors of 109727? 179, 613 List the prime factors of 7772650. 2, 5, 155453 What are the prime factors of 380279? 163, 2333 What are the prime factors of 245501? 245501 What are the prime factors of 755870? 2, 5, 131, 577 What are the prime factors of 104306? 2, 52153 List the prime factors of 273131. 273131 What are the prime factors of 444021? 3, 89, 1663 List the prime factors of 275608. 2, 47, 733 What are the prime factors of 371800? 2, 5, 11, 13 What are the prime factors of 235901? 235901 What are the prime factors of 134228? 2, 23, 1459 List the prime factors of 2722712. 2, 340339 What are the prime factors of 161402? 2, 80701 List the prime factors of 426607. 19, 22453 What are the prime factors of 10547? 53, 199 List the prime factors of 60109. 7, 31, 277 What are the prime factors of 12715129? 7, 79, 22993 List the prime factors of 32327. 32327 What are the prime factors of 10960645? 5, 2192129 What are the prime factors of 669324? 2, 3, 17, 193 What are the prime factors of 602150? 2, 5, 12043 What are the prime factors of 51167? 19, 2693 What are the prime factors of 6520656? 2, 3, 17, 61, 131 What are the prime factors of 1378687? 569, 2423 List the prime factors of 3697752. 2, 3, 154073 List the prime factors of 874090. 2, 5, 7, 12487 What are the prime factors of 1446036? 2, 3, 120503 What are the prime factors of 1090026? 2, 3, 7, 41, 211 List the prime factors of 3155562. 2, 3, 175309 What are the prime factors of 22398814? 2, 449, 24943 List the prime factors of 466315. 5, 93263 List the prime factors of 8386534. 2, 13, 322559 List the prime factors of 6082927. 101, 229, 263 List the prime factors of 13373969. 7, 19
{ "pile_set_name": "DM Mathematics" }
- 540*v + 46338? -90*v**2 - 4*v - 540 Find the first derivative of 3*j**3*l**3 + 8769*j**3*l + 38479*j**3 wrt l. 9*j**3*l**2 + 8769*j**3 Find the first derivative of 48003*h + 145694. 48003 What is the third derivative of 189334*l*n**4 + 18*l*n - 2*l - 240*n**2 - 4 wrt n? 4544016*l*n Differentiate -r**4 + 7006*r - 189086 wrt r. -4*r**3 + 7006 What is the second derivative of 15446*s**4 + 5803*s + 5 wrt s? 185352*s**2 Differentiate -5553*f**2*u - 61*f**2 - 3*f*u - 7107*f - 2*u wrt u. -5553*f**2 - 3*f - 2 What is the second derivative of -44668*n**3*y**2 - 3*n**3*y + 9525*n**3 + n**2*y**2 - y wrt y? -89336*n**3 + 2*n**2 What is the second derivative of -13975*d**2 + 1164*d + 2? -27950 What is the derivative of -4508371*l + 861093? -4508371 What is the second derivative of -2317*r**5 - 2*r**4 + 57*r**2 - 109494*r - 29? -46340*r**3 - 24*r**2 + 114 Find the second derivative of 10*p**4 + p**3*x + 26*p**3 - 2*p**2 + p*x + 1540*p + 2*x - 3 wrt p. 120*p**2 + 6*p*x + 156*p - 4 What is the first derivative of 214782*f**3*g + 87*f**3 - g**2 + 3811 wrt g? 214782*f**3 - 2*g Find the third derivative of -17478*c**4*q**2 - c**4*y - 2*c**3*y - 95*c**2*q**2*y - 2*c**2*q*y - 2*c*q*y - 10*c*q - q**2 + 10*y wrt c. -419472*c*q**2 - 24*c*y - 12*y Find the second derivative of -291002*n**4 - 462837*n wrt n. -3492024*n**2 Find the third derivative of -18196*u**3 + 24436*u**2. -109176 What is the first derivative of -41103*c*f**3*x**3 - f**3*x**3 + 4*f**3*x**2 - 476*f*x + 2*x**3 wrt c? -41103*f**3*x**3 Find the third derivative of c*j**5*m - 2*c*j**2*m - c*j + 52072*j**6 + 24*j**2*m + j*m wrt j. 60*c*j**2*m + 6248640*j**3 What is the first derivative of 3*a**3*t**2*w + 277*a**3*t**2 - 11*a**3 - 3*a**2*w + 23*t**2 + 62*w wrt t? 6*a**3*t*w + 554*a**3*t + 46*t What is the third derivative of -8*j*o*x - 17*j*o - j*x**4 + 1761*o*x**4 - 23*o*x**3 + 2*o*x**2 - o*x + 8 wrt x? -24*j*x + 42264*o*x - 138*o Find the second derivative of -622885*a**3 + 370223*a. -3737310*a Find the third derivative of 80690*c**3 - 221059*c**2. 484140 Find the second derivative of -3*p**3*z**3 - 691*p**3*z + 4*p**2 + 2*p*z**3 + 1133*z**3 + 1 wrt p. -18*p*z**3 - 4146*p*z + 8 What is the second derivative of 238*m**5 + 30*m**4*p - 42001*m*p + m wrt m? 4760*m**3 + 360*m**2*p What is the derivative of -a*x*y**2 + 962247*a*x*y - 376*x*y**2 + 23*x*y + 17*x wrt a? -x*y**2 + 962247*x*y Find the second derivative of 111526*h**2 - 95886*h wrt h. 223052 What is the first derivative of 1192*j**4 - 7*j**2*z**3 - 268782*z**3 wrt j? 4768*j**3 - 14*j*z**3 What is the third derivative of a**4*h**3 + 8866*a**4*h + 2*a**2*h**2 - 311*h**3 + 4*h**2 wrt a? 24*a*h**3 + 212784*a*h Find the third derivative of 45101*f**4*z**2 + f**4*z + 1752*f**2*z**2 - 2*f*z**2 - 11 wrt f. 1082424*f*z**2 + 24*f*z Differentiate 68*a**2*z - 5*a**2 - 2*a*z - 2324*z + 1 with respect to a. 136*a*z - 10*a - 2*z Find the second derivative of 3515507*y**2 + 2305937*y wrt y. 7031014 What is the third derivative of 4*x**5 - 2*x**4 + 73951*x**3 + 2*x**2 + 76906*x? 240*x**2 - 48*x + 443706 Differentiate 1272177*c + 3142607 wrt c. 1272177 Find the second derivative of 701*g*v**2*y - 3*g*v**2 + 4215*g*v*y - g*v + v**2*y - v**2 + 2*v*y - 2*y + 2 wrt v. 1402*g*y - 6*g + 2*y - 2 Find the first derivative of 771294*v**2 - 610097. 1542588*v Find the second derivative of -215*g**4 + 971*g**2 - 92040*g. -2580*g**2 + 1942 Find the third derivative of 1713155*d**2*v**3 - 2965*d**2 - 8*v**2 + 6*v wrt v. 10278930*d**2 Find the second derivative of -18*j**5 - 134*j**4 + j - 28565 wrt j. -360*j**3 - 1608*j**2 What is the second derivative of -153492*h**2*q**2*u + 550*h**2*q - h**2*u - 230*h*q*u wrt q? -306984*h**2*u Find the third derivative of 18*o**3*x**3 - 61*o**3 + 2*o**2*x**2 + 5515*x**6 - 1256 wrt x. 108*o**3 + 661800*x**3 What is the second derivative of -499161*y**2 + 2110*y + 5? -998322 Find the third derivative of -2*a**3*c - 59663*a**3 - 14809*a**2 - 14*a*c wrt a. -12*c - 357978 Differentiate -20954*d**3 + d**2 + 2*d + 260756 wrt d. -62862*d**2 + 2*d + 2 Find the third derivative of -272*b**2*k*t**2 + b**2*t**3 - 2*b**2*t**2 + b*k**2*t + 33273*b*t**3 - k**2*t**4 wrt t. 6*b**2 + 199638*b - 24*k**2*t What is the third derivative of -4*w**5 + w**4 + 5564*w**3 + 264160*w**2 wrt w? -240*w**2 + 24*w + 33384 Find the second derivative of w**2*y**2 - 2*w**2*y + 7*w**2 + 12682*w*y**2 + 24*y wrt y. 2*w**2 + 25364*w Find the second derivative of -12982*a**2*i**2*z**3 - a**2*i**2*z - 4946*a**2*i*z + a**2*z - z**5 wrt z. -77892*a**2*i**2*z - 20*z**3 Find the third derivative of 7808*v*x**3 + 4*v*x**2 - v + 123*x**3 + 47056*x - 1 wrt x. 46848*v + 738 Find the second derivative of 13*w**2*x**3 - 134346*w**2 - 2201*w*x**3 + 2*w*x - w + 2*x**3 + 5 wrt w. 26*x**3 - 268692 What is the second derivative of 3883*o**3 + 189*o**2 + 3545015*o wrt o? 23298*o + 378 What is the third derivative of 379*u**4 - 24*u**3 - 795*u**2 + 93*u wrt u? 9096*u - 144 What is the second derivative of -2*d**2*f**3 + 90315*d**2*f - 7791*d*f**3 - 2*d*f**2 + 2*d*f wrt d? -4*f**3 + 180630*f What is the third derivative of l**5 - 3*l**4 - 103*l**3 + 49861*l**2 wrt l? 60*l**2 - 72*l - 618 Differentiate -9*a*k**3 + 8740*a*k - 8*k**3 - 173*k - 39 wrt a. -9*k**3 + 8740*k Differentiate 51*i*j*z + 2*i*j + 38*i*z**3 + 3*j*z**3 - 40*j - 13116*z**3 with respect to j. 51*i*z + 2*i + 3*z**3 - 40 Find the second derivative of 47015*z**4 + 116560*z wrt z. 564180*z**2 Differentiate 28898*u**2*w + 6*u - 6*w - 32046 wrt u. 57796*u*w + 6 Differentiate -78924*g - 33003 with respect to g. -78924 What is the second derivative of -468*v**3 + 1485*v**2 + 713010*v - 6 wrt v? -2808*v + 2970 Differentiate 53516*c - 521971 with respect to c. 53516 What is the derivative of 3*c*q*u + c*q - 24*c*u**2 - 120*c*u + c + 27*q*u**2 + 796*q - 38*u wrt q? 3*c*u + c + 27*u**2 + 796 Differentiate 1574796*y - 2362045 wrt y. 1574796 What is the third derivative of -457502*c**3*r**3 - 8*c**3*r**2 - 8*c**3*r - 197*r**2 wrt r? -2745012*c**3 Find the first derivative of 2081*d**3*p**2 - 1280*d*p**2 - 240*p**2 - 329*p - 6 wrt d. 6243*d**2*p**2 - 1280*p**2 Find the second derivative of 83*k*q**2 - k*q - 45896*k - 440*q**2 wrt q. 166*k - 880 Find the third derivative of n**4 + 48128*n**3 - 2*n**2 - 3300*n + 1. 24*n + 288768 Find the second derivative of -15*s*w**3 - 66*s*w - 12218*s - 84473*w**3 - 2 wrt w. -90*s*w - 506838*w What is the second derivative of 309767*k**2 + 2*k + 204592? 619534 Find the third derivative of 2*b*p**3*y - 3*b*p**3 - 34*b*p**2*y + 187*b*p**2 - 18*p**3*y + 17*p**3 + p**2*y wrt p. 12*b*y - 18*b - 108*y + 102 What is the first derivative of -1631582*i - 1361645? -1631582 Find the first derivative of -x**3 + 3*x**2 - 7*x - 6297 wrt x. -3*x**2 + 6*x - 7 Differentiate -239261*f*g**3*m - 2*f*g**2*m**2 - 5419*g**3 - 8*g**2*m**2 wrt f. -239261*g**3*m - 2*g**2*m**2 What is the third derivative of -186*f**3*o**3 - 2*f**3*o**2 - 5*f**3 - 1416*f*o**3 + 2*f*o + 227*o wrt o? -1116*f**3 - 8496*f Differentiate -409588*k**4 + 2767238. -1638352*k**3 Find the third derivative of -2748835*v**4 + 3*v**2 + 6*v - 4789 wrt v. -65972040*v What is the second derivative of 93*o**3*u**2 + 134*o**2*u**2 + 35297*o*u**2 + 2*u**2 wrt o? 558*o*u**2 + 268*u**2 What is the third derivative of 54*j**2*w**3*z + 2*j**2*w**3 + 3*j**2*w**2*z - 4*j**2*z + 418*w**3*z - 194*w**2*z - z wrt w? 324*j**2*z + 12*j**2 + 2508*z What is the first derivative of 1390662*w**2 + 1109738? 2781324*w Find the first derivative of 2400*j**4*y + 1918398*y - 1 wrt j. 9600*j**3*y Find the second derivative of 1056813*k**2 - 3047508*k wrt k. 2113626 Find the third derivative of -9*q**6 + 2*q**5 - 467*q**3 - 444985*q**2 wrt q. -1080*q**3 + 120*q**2 - 2802 Differentiate 24137*c**2*j - c**2 + 65*c + 383 wrt j. 24137*c**2 What is the third derivative of -765*s**5 - 20*s**4 - 3*s**3 - 567092*s**2 wrt s? -45900*s**2 - 480*s - 18 What is the third derivative of 160868*i**6 + i**2 - 8*i + 162? 19304160*i**3 Differentiate 2*n**4*x + 2*n**2 + 8*n*x - 131*n + 19887*x with respect to n. 8*n**3*x + 4*n + 8*x - 131 What is the second derivative of -658227*i**2 - 6195*i - 5 wrt i? -1316454 Find the first derivative of -870084*p + 3525120 wrt p. -870084 Find the third derivative of -3344*c*w**6
{ "pile_set_name": "DM Mathematics" }
)/(-6)*(4 + -13). What is b*i(p) + 13*y(p)? 2*p - 1 Let x = 256 + -253. Let m(j) = -5*j + 7. Let l(q) = -q + 1. Determine x*m(f) - 21*l(f). 6*f Let t(q) = -36*q**2 + 16. Let v(d) be the second derivative of 7*d**4/12 - 3*d**2/2 + 182*d. Give 3*t(p) + 16*v(p). 4*p**2 Let a(t) be the third derivative of t**5/60 + t**4/12 - 2*t**3/3 - 46*t**2 + 2. Let n(c) = c**2 + 2*c - 5. Determine 6*a(m) - 5*n(m). m**2 + 2*m + 1 Let c(o) = -o**2 - 2*o + 1. Let b(t) = -t**2 + 3*t. Give b(j) + 3*c(j). -4*j**2 - 3*j + 3 Let z(r) = 5*r**2 + 3*r - 5. Let y(l) = -l**3 + 3*l**2 + 3*l - 6. Let p be y(3). Let a(w) = -6*w**2 - 4*w + 6. Determine p*a(m) + 4*z(m). 2*m**2 - 2 Let l(x) = 2*x**2 + 7*x - 8. Let w(y) = 2*y**2 + 5*y - 5. Determine -5*l(p) + 8*w(p). 6*p**2 + 5*p Let u(j) = 129*j**3 - 6*j**2 - 2*j - 2. Let y(w) = 24897*w**3 - 1161*w**2 - 387*w - 387. Calculate -774*u(p) + 4*y(p). -258*p**3 Let a(d) = 49*d**2 - 23*d - d + 149*d**3 - 25*d - 11*d**3 + 49 - 19*d**3. Let x(f) = -5*f**3 - 2*f**2 + 2*f - 2. Give 2*a(q) + 49*x(q). -7*q**3 Let c(y) = 12*y - 1. Let b(k) = -91*k + 13. Determine 2*b(d) + 18*c(d). 34*d + 8 Let a(p) = 115*p - 4. Let w(m) = 99*m - 3. Let x(l) = -6*a(l) + 7*w(l). Let r = -5 - 0. Let i(q) = -q**3 - 5*q - 5. Calculate r*x(d) - 3*i(d). 3*d**3 Let g(f) = -8*f**2 - 6*f - 22. Let a(z) = 10*z**2 + 7*z + 23. Determine 3*a(l) + 4*g(l). -2*l**2 - 3*l - 19 Let d(y) = -6*y**3 + y**2 - y - 4. Let w(b) = 17*b**3 - 4*b**2 + 2*b + 10. What is 8*d(o) + 3*w(o)? 3*o**3 - 4*o**2 - 2*o - 2 Let m(a) = -37*a**2 - 2*a - 5. Let k(s) = s**2 - s - 1. Calculate 3*k(j) - m(j). 40*j**2 - j + 2 Let d be 36/(-9) + (-2 - -1) - 90. Let n(g) = 17*g**3 - 2*g**2 - 2*g + 2. Let q(i) = -798*i**3 + 95*i**2 + 95*i - 95. Determine d*n(r) - 2*q(r). -19*r**3 Let k(l) = l**3 - l**2 + 2*l. Suppose -217*q = -240*q + 46. Let j(h) = -h. Calculate q*k(f) + 5*j(f). 2*f**3 - 2*f**2 - f Suppose -5*x - 2*i - 80 = -3*i, -58 = 4*x - 2*i. Let g(m) = -7*m + 7. Let b(t) = -3*t + 20 - t - 16*t. Calculate x*g(z) + 6*b(z). -z + 1 Suppose 129*p = 127*p + 8. Let d(s) = 1. Let n(o) = 5*o**3 + 2*o + 6. What is p*d(a) - n(a)? -5*a**3 - 2*a - 2 Let t(f) = -14*f**3 + 16*f - 16. Let l = -692 + 644. Let k(b) = b**3 - b + 1. Determine l*k(n) - 3*t(n). -6*n**3 Let r(d) = -d**3 - 7*d**2 - 1. Let v(m) = m**3 - 8*m**2 - 1. Give -4*r(g) + 3*v(g). 7*g**3 + 4*g**2 + 1 Let r(p) = p**2 - 3*p + 1. Let t(k) = 6*k**2 - k - 5. Let f(g) = 7*g**2 - g - 6. Suppose 9*c = 2*c - 42. Let n(z) = c*t(z) + 5*f(z). Determine 3*n(u) + r(u). -2*u**2 + 1 Let d(j) = -j**2 + 8*j**2 - 4*j**2 - 4*j**2. Let x(w) = 4*w**2. Suppose 0*r = -3*r + 15. Suppose 2*u = r*u - 42. Determine u*d(a) + 3*x(a). -2*a**2 Suppose -165*g + 149*g + 256 = 0. Let t(d) = 4*d + 16. Suppose -2*l = -5*l + 9. Let f(c) = -c - 3. What is g*f(r) + l*t(r)? -4*r Let w(t) = 8*t**2 + 5*t - 6. Let i(x) = -7*x**2 - 4*x + 5. Let m = -1 - -9. Let d(u) = -u**2 + 8*u - 5. Let z be d(m). Determine z*w(p) - 6*i(p). 2*p**2 - p Let z(h) = -4*h**2 - 7*h. Let f(v) = v + 1. Let n(l) = -2*f(l) - z(l). Let r(d) = d**2 + d - 1. Calculate n(u) - 5*r(u). -u**2 + 3 Let q(x) = 69*x - 9. Let n(z) = 34*z - 5. What is 5*n(y) - 3*q(y)? -37*y + 2 Let i(l) = -202*l. Let n(k) = -1. Give i(s) + n(s). -202*s - 1 Let f(y) = 15*y - 20. Let o(s) be the second derivative of s**3/2 - 2*s**2 - s + 8. Give 2*f(z) - 11*o(z). -3*z + 4 Let c(f) = -553*f**2 + 99. Let o(y) = 2213*y**2 - 398. Let j(x) = 9*c(x) + 2*o(x). Let u(z) = -23*z**2 + 4. Give 4*j(k) - 95*u(k). -19*k**2 Let x(k) = k - 3. Let l(d) = -2. Let j be 84/(-35) + 2/(-15)*-3. Let b(o) = j*l(o) + 3*x(o). Let f(m) = -7*m + 11. Determine -5*b(g) - 2*f(g). -g + 3 Let u(l) = 2*l**2 - 2*l - 3. Let t be u(2). Let w(j) = 2*j**2 + 5*j + 5. Let v(h) = h**2 + h + 1. Let s = -41 - -36. What is s*v(z) + t*w(z)? -3*z**2 Let b(q) = -10 - 4*q - 6 + 20 + 3*q**2. Let m(g) be the first derivative of -2 - 7/2*g**2 + 7*g + 5/3*g**3. Calculate 7*b(k) - 4*m(k). k**2 Let d(g) = -7*g**2 - 6*g. Let l(u) = u. Suppose -8 = 5*s - 3*v, -5*s - 13*v = -11*v + 3. Determine s*d(p) - 4*l(p). 7*p**2 + 2*p Let w(l) = -17*l**3 + 5*l**2 + 2. Let x(v) = 2718*v**2 - 2715*v**2 + 1 - 9*v**3 + v - v. What is 3*w(y) - 5*x(y)? -6*y**3 + 1 Let v(c) = -8*c**3 - 7*c**2 - 7*c. Let m(f) be the second derivative of -7*f**5/20 - f**4/2 - f**3 - 132*f. Let u = -2 + 8. What is u*v(g) - 7*m(g)? g**3 Let k(s) = s**2 + 2*s + 3. Suppose -5*b - 20 - 15 = 0. Let f = 1408 + -1411. Let v(q) = -3*q**2 - 5*q - 7. What is b*k(o) + f*v(o)? 2*o**2 + o Suppose -293 = 16*r - 325. Let c(g) = -3*g - 3. Let w(q) = -7*q - 7. Calculate r*w(a) - 5*c(a). a + 1 Let i(g) = -g**2 - g. Let x(b) = -6*b**2 - 6*b. Suppose -5*m + 20 = -5*y, -9*m + 2*y = -8*m - 6. Calculate m*x(n) - 11*i(n). -n**2 - n Suppose -2*r + 30*f = 25*f - 2, 26 = -2*r - 2*f. Let b(p) = 2*p**3 + p**2 + 2. Let l(a) = 4*a**3 + 3*a**2 + 4. Determine r*b(q) + 4*l(q). -2*q**3 + 3*q**2 - 2 Let w(n) = 42*n**2. Let v(i) = 7*i**2 + 9*i - 13. Let k be v(2). Let d(c) = 21*c - 6*c**2 + 12*c - k*c. What is 27*d(q) + 4*w(q)? 6*q**2 Let w(v) = -4*v + 1. Let r(s) = -9*s + 2. Suppose 4*x = -0*x - 8, -4*b + 2*x = -16. Suppose -b*c + 4*p = 34, -p = 4*c - 6*p + 44. Determine c*r(j) + 13*w(j). 2*j + 1 Let k(m) = 2*m**3 - 3*m**2 + 2*m - 3. Let b(t) = 10*t**3 - 16*t**2 + 10*t - 16. Let a(c) = 8*c + 56. Let d be a(-5). Calculate d*k(w) - 3*b(w). 2*w**3 + 2*w Let d(s) = s**2 - 2*s + 2. Let g(w) = 20*w**2 - 32*w + 32. Let x(v) = -16*d(v) + g(v). Let u(j) = 6*j**2. Let c = 3 + 5. Determine c*x(b) - 5*u(b). 2*b**2 Let z(q) = 2*q + 1. Let s(i) = -2*i - 1. Let x = -144 - -146. Give x*z(m) + 3*s(m). -2*m - 1 Let s(g) = -7*g**2 - 31*g - 3. Let v(u) = -u**2 - 1. Calculate -s(l) + 4*v(l). 3*l**2 + 31*l - 1 Let b(y) = 2*y + 2. Let h(m) = 7*m**2 + 7*m + 7. Give -4*b(i) + h(i). 7*i**2 - i - 1 Let t(d) = 4*d + 72. Let c(o) = o + 5. Give -5*c(g) + t(g). -g + 47 Let a = 13 - 9. Suppose 3*m = 2*m + 2. Let q(k) = m*k**3 + k**2 - k + 2*k**2 - a*k**2 + 1 - k**3. Let l(v) = -2*v**2 - 3*v + 2. Determine l(j) - 2*q(j). -2*j**3 - j Let o(s) = 5*s**3 - 4*s**2 - 2*s - 4. Let w(n) = -9*n**3 + 7*n**2 + 3*n + 7. Let d be 9/(-15) + (-28)/(-5) + -1. Calculate d*w(v) + 7*o(v). -v**3 - 2*v Let a(x) = -5*x - 8. Let u(h) = -h - 2. Give 2*a(b) - 6*u(b). -4*b - 4 Let b(g) = g**3. Let p(q) = -21*q**3 + 2*q - 3. Calculate 5*b(d) + p(d). -16*d**3 + 2*d - 3 Let h(a) = -2*a**3 + 7*a**2 + 4*a + 11. Let d(l) = 2*l**2 + l + 3. Determine 22*d(k) - 6*h(k). 12*k**3 + 2*k**2 - 2*k Let l(w) = 2*w + 10. Let y(p) = p + 4. Let c = -2734 + 2722. Give c*y(u) + 5*l(u). -2*u + 2 Let h(z) be the third derivative of -1/2*z**3 - 13*z**2 + 0*z**4 + 0 + 1/20*z**5 + 0*z + 1/24*z**6. Let g(k) = k**3 + k**2 - 1. Give -3*g(d) + h(d). 2*d**3 Let h(y) be the third derivative of -y**5/60 - 6*y**2. Suppose -5*k = 5*q + 10, 5*k + 3*q + 3 = 5*q. Let o(f) = -14*f**2. Give k*o(j) + 12*h(j). 2*j**2 Let r(z) = -11*z - 2. Let a(y) = 11*y + 3. Let b = 515 - 513. Give b*a(x) + 3*r(x). -11*x Let c(m) = -11 + 55*m**3 - 50*m**3 + 8 - 3*m**2. Let g(b) = -6*b**3 + 4*b**2 + 4. Determine -4*c(u) - 3*g(u). -2*u**3 Let q(g) = -10*g - 3. Let v(x) = 11*x + 4. Determine -7*q(m) - 6*v(m). 4*m - 3 Let v(n) = -2*n**3 + 33*n**2 + 16*n + 18. Let o be v(17). Let c(q) = 1. Let d(w) = w**2 + 3*w - 5. Calculate o*d(x) + 5*c(x). x**2 + 3*x Let g(n) = 22*n**2 + 2*n + 7. Let v(z) = -2*z**2. Determine -g(h) + 4*v(h). -30*h**2 - 2*h - 7 Let z(u) = 3*u**2 - 925 + 3*u + 921 - 2*u. Let s = -24 + 23. Let r(h) = -h**2 - h + 1. Give s*z(n) - 4*r(n). n**2 + 3*n Let k(t) = t**2 - 1. Let s = 6 - 7. Let u(f) = 4*f**2 - 1. Suppose -b = -4*z - 4, z = -4*b - b + 125. Let m = 25 - b. Give m*k(a) + s*u(a). -3*a**2 Let i = -19 + 69. Let z = -45 + i. Let o(d) = d + 1. Let c(x) = -4*x - 3. Give z*o(r) + c(r). r + 2 Let b(h) = 21*h**2 - 13*h. Let j(u) be the second derivative of -11*u - 1/2*u**3 + 0*u**2 + 5/12*u**4 + 0. Calculate 6*b(p) - 26*j(p). -4*p**2 Let z(w) = 4*w**2 + w - 19. Let v(d) = -5*d**2 + 19. Give 3*v(x) + 4*z(x). x**2 + 4*x - 19 Let i(q) be the first derivative of -3*q**2/2 + 5*q + 102. Let n(c) = c. Give -i(m) - 4*n(m). -m - 5 Let k(h) be the first derivative of 2*h**3/3 + 5*h - 190. Let v(w) = -w**2 - 5. What is 3*k(y) + 4*v(y)? 2*y**2 - 5 Let k(w) = 4*w - 8. Let o(x) = -9*x + 13. Let u(r)
{ "pile_set_name": "DM Mathematics" }
e terms in 27*k**2 - 11*k + 11*k. 27*k**2 Collect the terms in -135*b - 10 + 19 - 9. -135*b Collect the terms in 2*a - 2*a**2 - 6*a - 92*a**3 + 2*a**2. -92*a**3 - 4*a Collect the terms in -25*y**3 + 37*y**3 - 19*y**3. -7*y**3 Collect the terms in -20 + 1 + 2*s - 15. 2*s - 34 Collect the terms in -3*u**2 + 2*u**2 - 3*u**2 + 2*u**2. -2*u**2 Collect the terms in -2*h - 141 + 77 + 64. -2*h Collect the terms in -4*m + 9*m - 6*m. -m Collect the terms in -5*y + 94*y**2 + 5*y + 0*y. 94*y**2 Collect the terms in 178*y + 655*y + 189*y. 1022*y Collect the terms in 10120 - 2*g**3 - 10120. -2*g**3 Collect the terms in 7 - 7 - 4*u - u + 11*u. 6*u Collect the terms in 20*n**3 + 38*n - 38*n. 20*n**3 Collect the terms in 66*k**2 + 56*k**2 - 125*k**2. -3*k**2 Collect the terms in -z**2 - 23*z - 29*z + 52*z - 10*z**2. -11*z**2 Collect the terms in 7*m**2 - 8*m**2 + 0*m**2. -m**2 Collect the terms in 21*y**3 + 27*y**2 + 19*y**3 - 27*y**2 - 35*y**3. 5*y**3 Collect the terms in 2*w**3 - 3*w**3 + 3*w**3 + 12. 2*w**3 + 12 Collect the terms in 10*z - 26*z + 89*z. 73*z Collect the terms in -351*x**2 + 691*x**2 - 343*x**2. -3*x**2 Collect the terms in -85265*q - 5*q**3 + 85265*q. -5*q**3 Collect the terms in 3815*o - 3*o**3 - 3815*o. -3*o**3 Collect the terms in 889*n + 64*n**2 - 889*n. 64*n**2 Collect the terms in -2050*b - b**2 + 1027*b + 1023*b. -b**2 Collect the terms in -10*l + 5*l + 4*l - 3*l. -4*l Collect the terms in -74*x**3 - 125 + 125. -74*x**3 Collect the terms in -57 - 8*c**3 + 57. -8*c**3 Collect the terms in -41 - 104*o + 41. -104*o Collect the terms in 50 - 24 - 26 + 14*f. 14*f Collect the terms in -9*u - 13*u - 12*u - 15*u + 48*u. -u Collect the terms in 183*q + 69*q - 82*q. 170*q Collect the terms in 19*t + 21*t - 51*t - 7*t + 22*t. 4*t Collect the terms in -436 - 17*b + 18*b + 75. b - 361 Collect the terms in -9*z + 3 + 26*z - 1. 17*z + 2 Collect the terms in 711*x**3 + 714*x**3 - 1416*x**3. 9*x**3 Collect the terms in 5*k**2 + 446*k - 446*k + 0*k**2. 5*k**2 Collect the terms in 169*c + 168*c + 176*c - 517*c. -4*c Collect the terms in 13 - l**2 - 27 + 14. -l**2 Collect the terms in 8*z**3 + 1116*z**2 - 1116*z**2. 8*z**3 Collect the terms in -433*l + 872*l - 438*l. l Collect the terms in -3*s + 131 - 15*s**2 - 131. -15*s**2 - 3*s Collect the terms in 5267 - 2*s**2 - 5267. -2*s**2 Collect the terms in -2*q - 4*q - 6 - 3*q + 6. -9*q Collect the terms in 149 - 315 + 166 + t**3 + t**3. 2*t**3 Collect the terms in 3*t**2 + 138 - 70 - 68. 3*t**2 Collect the terms in 275*j + 4 - 140*j - 143*j. -8*j + 4 Collect the terms in -7*f**3 + 58*f**3 + 131*f**3 + 116*f**3. 298*f**3 Collect the terms in 132995*y - 132995*y - 17*y**3. -17*y**3 Collect the terms in 12*y + 9*y - 7*y + 0 - 2. 14*y - 2 Collect the terms in 9*v**3 + 3*v**3 + 20*v**3. 32*v**3 Collect the terms in 786*v + 726*v - 1513*v. -v Collect the terms in 57*k - 10*k - 23*k. 24*k Collect the terms in 2*w**3 + 20*w**3 - 89*w**3. -67*w**3 Collect the terms in 4*c + 0*c - 6*c - 6*c. -8*c Collect the terms in -5*p - p**3 - 22*p + 27*p. -p**3 Collect the terms in -10*f**2 + 27 + 8*f**2 + 16. -2*f**2 + 43 Collect the terms in -37*s**2 - 32*s**2 + 2*s**3 + 113*s**2 - 44*s**2. 2*s**3 Collect the terms in 0*s + 0*s - 20*s**2 + 17*s**2. -3*s**2 Collect the terms in 7*k**2 + 2151*k - 2151*k. 7*k**2 Collect the terms in 0*s + 35*s**3 + 0*s - 26*s**3. 9*s**3 Collect the terms in 23*p**2 - 5 + 5 + 17*p**2. 40*p**2 Collect the terms in -33*c - 29*c + 5*c**2 - 4*c**2 + 62*c. c**2 Collect the terms in 2 + 9 + 11*v**2 + 9 - 8*v**2. 3*v**2 + 20 Collect the terms in -113 + 113 - 6*o. -6*o Collect the terms in 0*v**2 + v**2 - 5*v**2 + 3*v**2. -v**2 Collect the terms in 2 - 2 - 17*f**2 - 28*f**2 + 49*f**2. 4*f**2 Collect the terms in 75 - 115*z - 75. -115*z Collect the terms in 16*g**3 + 20*g**3 + 13*g**3 + 150*g**3. 199*g**3 Collect the terms in -112*j**2 + 112*j**2 - 6*j**3. -6*j**3 Collect the terms in -14*z**2 + 46*z - 46*z. -14*z**2 Collect the terms in 758*i**3 - 90*i**3 + 13*i**3. 681*i**3 Collect the terms in 13 + h + 16 + 2*h - 29. 3*h Collect the terms in -7*y - 3*y - 8*y - 14*y + 30*y. -2*y Collect the terms in -2*g**3 + 3*g**2 + g**2 + 2*g**2 - 2*g**2. -2*g**3 + 4*g**2 Collect the terms in 23*u + 62*u - 1 - 9*u. 76*u - 1 Collect the terms in -69 + 10*x**3 - 56 + 125 - 6*x**3. 4*x**3 Collect the terms in -2*t**2 - 110*t + 60*t + 50*t. -2*t**2 Collect the terms in -3*a**2 - 6 - 2 + 8. -3*a**2 Collect the terms in -352*i**3 + 180*i**3 + 174*i**3. 2*i**3 Collect the terms in -22 + 14*l**2 - 21*l + 20 + 21*l. 14*l**2 - 2 Collect the terms in -12*i - 5*i - 2*i. -19*i Collect the terms in 2556*h**2 + 2559*h**2 - 5106*h**2. 9*h**2 Collect the terms in 19*s + 5*s + 8*s - 32*s + 19*s**3. 19*s**3 Collect the terms in -9*w + 1256*w**2 + 9*w - 1255*w**2. w**2 Collect the terms in -5*h - 4*h + h. -8*h Collect the terms in -9*f**2 - 8*f**2 + 13*f**2. -4*f**2 Collect the terms in 0*a - 1044 - 5*a - 7*a + 1044. -12*a Collect the terms in -12*x - 6*x + 13*x. -5*x Collect the terms in 10*u**3 - 12*u**3 + 31*u**3 - 1. 29*u**3 - 1 Collect the terms in -6*j**3 + 33*j**3 + 0*j**2 + 0*j**2. 27*j**3 Collect the terms in 7*t - 10*t + 5*t - t + 2*t. 3*t Collect the terms in 5*y - 5*y + 4*y**3 - 23. 4*y**3 - 23 Collect the terms in -3*j + 10*j**3 + 3*j. 10*j**3 Collect the terms in -178*n + 89*n - 47*n**3 + 89*n. -47*n**3 Collect the terms in 9*v - 18*v + 8*v. -v Collect the terms in -6*l + 0 + 18*l + 0. 12*l Collect the terms in 9*l**3 + l**3 + l**3 - l**3. 10*l**3 Collect the terms in 13*g**2 - 37*g**2 + 13*g**2 + 15*g**2. 4*g**2 Collect the terms in 102*u**2 - 238*u**2 + 145*u**2. 9*u**2 Collect the terms in 10 + 2 + 2*z**2 - 30. 2*z**2 - 18 Collect the terms in 6 - 28 + 22 - 2*y. -2*y Collect the terms in -82*t - 6 + 82*t + 0*t**3 + 5*t**3. 5*t**3 - 6 Collect the terms in -3*v + 3*v + 4*v + 0*v. 4*v Collect the terms in 10 - 4 + 17*n - 6. 17*n Collect the terms in -16*m - 4 + 1 + 3. -16*m Collect the terms in 24*t**2 + 19*t**3 - 47*t**2 + 23*t**2. 19*t**3 Collect the terms in 180*k - 108*k - 103*k. -31*k Collect the terms in 8*u + u - 13*u. -4*u Collect the terms in 49*z**2 + 23*z**3 - 28*z**2 - 21*z**2. 23*z**3 Collect the terms in -19*p**3 + 183*p**2 - 183*p**2 + p**3. -18*p**3 Collect the terms in -54 + 164 - 3*s + 0*s + 31. -3*s + 141 Collect the terms in -9*o**3 + 16 - o**2 + o**2. -9*o**3 + 16 Collect the terms in 8*t**2 + 33 - 33 + 3*t. 8*t**2 + 3*t Collect the terms in k - 40*k**2 + 45*k**2 - 2*k + k. 5*k**2 Collect the terms in 0*u**2 + 10*u**2 - 21*u**2. -11*u**2 Collect the terms in -63*y**2 - 72*y**2 - 4 - 1. -135*y**2 - 5 Collect the terms in -2 + 1 + 6 - 9*a + 2*a. -7*a + 5 Collect the terms in 8*w**3 - 5*w + 2*w + 3*w - 2*w**2. 8*w**3 - 2*w**2 Collect the terms in -4 + 8*i**2 + 1 + 3. 8*i**2 Collect the terms in f**2 + 2*f**2 + 0*f**2 + 67*f. 3*f**2 + 67*f Collect the terms in -3*v - 5*v - 3*v. -11*v Collect the terms in 31*f + 35*f + 27*f - 93*f + f**2. f**2 Collect the terms in -102*t - 98*t + 202*t. 2*t Collect the terms in 2*b + 16*b - 8*b. 10*b Collect the terms in 5 + 4*m - 2 - 1 + 3. 4*m + 5 Collect the terms in -40*p + 40*p - 5*p**3. -5*p**3 Collect the terms in 0 - 4*o**2 + 5*o**2 + 0 - 4*o**2. -3*o**2 Collect the terms in -33*v**3 - 94*v**2 + 190*v**2 - 96*v**2. -33*v**3 Collect the terms in -a - 4*a - 3*a + 7*a. -a Collect the terms in -6 - 4 + 92*n + 10. 92*n Collect the terms in 0 - 2 - 33*d - 5*d. -38*d - 2 Collect the terms in 19*g**2 - 8*g**2 - 9*g**2 + 21*g**2. 23*g**2 Collect the terms in -12*w + 12*w**2 + 8*w - 15*w**2 - 2*w. -3*w**2 - 6*w Collect the terms in 4*v - 3*v + 180*v**3 - 3*v. 180*v**3 - 2*v Collect the terms in 68 + 158*d**3 - 68. 158*d**3 Collect the terms in -4*t - 9 - 8*t + 18*t - 5*t. t - 9 Collect the terms in g**2 - 29*g**2 + 27*g**2 - 8*g**2. -9*g**2 Collect the terms in 14 - 7 - 7 - 9*x. -9*x Collect the terms in 236*h**3 - 85*h**3 - 76*h**3 - 81*h**3. -6*h**3 Collect the terms in 81*w + 3 - 4 - 5. 81*w - 6 Collect the terms in -707 - o**2 + 707. -o**2 Collect the terms in 22*m**2 - 25*m**2 + m - m. -3*m**2 Collect the terms in 12*n**2 - 5*n**2 - 4*n**2 - 5*n**2. -2*n**2 Collect the terms in -2*w**2 + 15*w**2 + w**2. 14*w**2 Collect the terms in 62*m**2 + 94*m**2 + 192*m**2 + 100*
{ "pile_set_name": "DM Mathematics" }
of b and 4? 1 Let z(u) = -u**3 - 6*u**2 - 7*u - 1. Let b be z(-6). Suppose 2*k - b = -11. What is the highest common factor of 10 and k? 5 Let m = -17 + 20. What is the highest common factor of m and 1? 1 Let z = 72 + -66. Calculate the highest common divisor of 9 and z. 3 Let u be ((-127)/(1/1))/(-1). Let t = -61 + u. Calculate the highest common divisor of 44 and t. 22 Let b(w) = -8*w - 60. Let t be b(-15). What is the highest common factor of t and 24? 12 Suppose -3*l - k = -0*k - 127, l = k + 37. Suppose l + 14 = 5*m. Let c = m + -8. What is the highest common factor of 24 and c? 3 Let k(u) = u**3 + 7*u**2 + 4*u - 2. Suppose -10 + 34 = -4*t. Let z be k(t). Let l be 25*(24/5 + -2). What is the greatest common divisor of l and z? 10 Let i(c) = -24*c - 4. Let y be i(-2). Calculate the greatest common factor of y and 33. 11 Let c(o) = 8*o**2 + 4*o + 3. Let i be c(-1). Let d(u) = u**2 + 28. Let a be d(0). What is the greatest common divisor of a and i? 7 Let w(v) = -v**2 + 2*v + 4. Let o be w(3). What is the greatest common divisor of o and 16? 1 Let r = -65 - -119. Calculate the greatest common factor of r and 6. 6 Suppose 5*y + 5*j - 75 = 0, 0 = y - 2*j - 3 - 18. Let x(m) = 2*m + 57. Let a be x(-20). Calculate the highest common factor of a and y. 17 Let l = 20 - 8. Let q be -3*(-8*5 - -3). Suppose 0 = 4*f - q - 369. Calculate the highest common divisor of f and l. 12 Let u = 11 + -10. What is the highest common divisor of u and 7? 1 Suppose 3*h + 2*h = 2*v - 41, v - 19 = 2*h. Let s = -55 - -81. What is the highest common factor of s and v? 13 Let c(q) = 11*q - 5. Let i be c(2). What is the greatest common factor of 34 and i? 17 Let y be (1 - (-9)/(-6))*-14. Calculate the highest common divisor of 7 and y. 7 Suppose 0*u + u = -2*b + 114, 0 = 5*b + 4*u - 279. Let g = b - 24. Calculate the highest common divisor of g and 14. 7 Suppose 4*w - 4 = 0, -20 = -l - 3*w + 18. What is the greatest common factor of l and 7? 7 Suppose 0 = -2*z + z + 3. Suppose -z*a + 2*a + 69 = 0. Calculate the highest common divisor of a and 46. 23 Suppose -3*r = 4*n - 0*r - 19, -2*n - 2*r + 10 = 0. Let v(d) = 3 - 5*d - 3*d**2 + 3*d + 4*d**2. Let s be v(n). What is the greatest common factor of s and 1? 1 Let w be (0 + 9)*4/6. Let t be (-12)/(-8)*28/w. Let s be (81/(-36))/(1/(-28)). Calculate the highest common factor of s and t. 7 Let q(a) = 25*a**2 + 2*a + 1. Let t be q(-1). What is the highest common factor of 3 and t? 3 Let d be (-241)/10*-2 - (-8)/(-40). What is the greatest common factor of d and 528? 48 Let t(y) = -y**3 - 12*y**2 + 20*y - 13. Let q be t(-14). Calculate the highest common factor of 11 and q. 11 Let l be (-2)/10 + 58/(-10). Let x(c) = -5*c + 8. Let m be x(l). Suppose -4*g - 12 = -0*g, -m = -p - 2*g. What is the highest common divisor of p and 11? 11 Suppose -4*u - d - 37 - 11 = 0, -35 = 5*u - 5*d. Let f = -30 - u. Let z be -1*(f - (-1)/(-1)). Calculate the highest common divisor of z and 4. 4 Let z(i) = -i + 2. Let q be z(-4). Let k(v) = -5*v + 5. Let d be k(q). Let j = d + 101. Calculate the greatest common divisor of j and 19. 19 Let v(n) = -n**3 - 10*n**2 - 7*n - 30. Let s be v(-10). Let w = -4 + 12. What is the greatest common factor of w and s? 8 Let d(n) = -n. Let r be d(-2). Suppose -2*b = -l - 63, -b - 10 + 46 = -r*l. Let g be 12/((-6)/(-3) + -1). Calculate the highest common divisor of b and g. 6 Suppose 3*q - b = 486, 42 = q + 3*b - 120. Suppose 2*n - 4 + 0 = 0. Suppose -3 = -h, 7*h = u + n*h - 3. Calculate the greatest common divisor of q and u. 18 Let y be (-2)/(-1) + 87 - 1. Suppose 0 = -2*k + 6, -4*b + 2*k + 17 = -3*k. Calculate the highest common divisor of y and b. 8 Suppose n - 5*u = 110, 2*u + 2*u - 292 = -3*n. What is the highest common factor of 20 and n? 20 Let t(z) be the second derivative of 0*z**2 + 0*z**3 + z - 6/5*z**5 + 0*z**4 + 0. Let n be t(-1). Calculate the greatest common divisor of n and 6. 6 Let f be (-3)/(-3) + (1 - 2). Suppose b = -f*b + 10. What is the highest common divisor of 90 and b? 10 Suppose 2*h = 5 + 1. Suppose 3*w - 4*g = 29, 0 = h*w - 3*g - 7 - 23. Calculate the highest common factor of 55 and w. 11 Suppose -4*t + 14 = 2*i, 0*i + 20 = 2*i + 2*t. Let q = -8 + i. Let u be (q + -2 + -2)*35. What is the highest common factor of 5 and u? 5 Let t be (6/(-7))/(6/(-210)). Suppose -g + 40 = 3*g. What is the highest common factor of t and g? 10 Let n be (1/(-2))/((-3)/36). What is the greatest common factor of 18 and n? 6 Let n(u) = -3*u + 3*u**2 + 9 - 2*u**2 - u**3 - 3*u + 7*u**2. Let h be n(6). Calculate the highest common divisor of 15 and h. 15 Let w = -129 + 265. Calculate the greatest common factor of w and 34. 34 Let c(j) = -51*j**3 - 2*j - 3. Let b be c(-1). Suppose 4*n + 0*n = 100. What is the greatest common divisor of b and n? 25 Let l be (-113 - 2)*54/(-90). Calculate the highest common divisor of l and 46. 23 Let p be (2 - -2) + 0/1. Let m = -1 - -3. Let d be (2 - p) + (5 - m). What is the greatest common divisor of d and 2? 1 Let t be (-5)/(-2) - (-2)/(-4). Suppose -t*f = -6*f + 60. Calculate the highest common factor of 120 and f. 15 Let g(y) be the third derivative of y**5/20 + y**4/24 - y**2. Let j be g(3). Calculate the highest common divisor of 45 and j. 15 Let j(y) = y**3 + 8*y**2 + 2*y - 1. Let p be j(-3). Let g = -6 + -4. Let q = g + p. What is the highest common factor of q and 4? 4 Let s be (-1 + 3*1)/(56/224). Calculate the highest common factor of 64 and s. 8 Let t = -47 - -79. Suppose 2 + 8 = 5*m - 5*c, -m + 4*c + 2 = 0. Let j be ((-6)/m)/((-2)/32). Calculate the highest common divisor of t and j. 16 Let c(s) be the third derivative of s**5/30 + 5*s**4/24 + s**3/2 - 2*s**2. Let o = 17 + -20. Let v be c(o). Calculate the greatest common factor of v and 18. 6 Suppose -o - 5*y + 7 + 7 = 0, -4*o = y - 37. Let d(l) = 20*l + 3. Let i be d(3). What is the greatest common factor of o and i? 9 Suppose -4*f = -17*f + 312. What is the highest common factor of 168 and f? 24 Suppose 70 + 14 = 6*l. Calculate the highest common factor of l and 56. 14 Let i be (-4 + 26/6)*84. What is the greatest common divisor of 7 and i? 7 Let z = -3 + 11. Let a be z/(-44) - 48/(-22). Suppose -3*d + a*d = -11. Calculate the highest common factor of 1 and d. 1 Let r be -6 + 43 - (-2*1 - 0). Calculate the highest common divisor of r and 26. 13 Suppose 6 = 3*s, -3*s = 2*w - 0*w - 22. Calculate the highest common factor of w and 56. 8 Suppose 2*w = -y + 12, 4*w - 19 - 11 = -3*y. Suppose 6*o - 64 = -2*g + 5*o, 20 = 5*o. What is the greatest common factor of g and y? 6 Suppose -2*b - 12 = -122. Suppose -l - l + 5*u + 25 = 0, 5*l - 5*u = b. Let x = 24 - l. Calculate the highest common divisor of 7 and x. 7 Suppose -3*l = -4*c + 27, 0*c + 5*c - 3*l = 33. Calculate the highest common divisor of 18 and c. 6 Suppose 4*f - 84 = -a, -5*a + a + f + 387 = 0. What is the highest common factor of 24 and a? 24 Let i(v) = v**2 + 4*v - 2. Let g be i(-6). Let j = 25 - g. Let q be (-4)/(-8) + 418/4. Calculate the highest common divisor of j and q. 15 Suppose 2790 = 12*g + 678. What is the highest common factor of g and 16? 16 Suppose -4*a - 3*q = -143, -3*a + 137 = -2*q + 34. Suppose -6 = 10*i - 7*i. Let h be 1*i/(-4)*10. What is the highest common divisor of a and h? 5 Suppose -18 = -3*p - 4*t, -2*p - t = -7 - 0. Suppose -30 = -2*j + p. Let d be (2 + -1)/(1/32). What is the greatest common factor of d and j? 16 Let v = 15 - 11. Let r be 2/6*1*3. Calculate the greatest common factor of v and r. 1 Let r(l) = -5*l + 0 + 2 + l**2 - 2*l + 6. Let s be r(8). Calculate the highest common divisor of s and 2. 2 Let d be (1/(-3))/(14/(-294)). What is the highest common divisor of d and 2? 1 Let a(o) = -2*o + 12. Let p be a(-9). Let i = 62 - p. Calculate the highest common factor of i and 16. 16 Let h(n) = -n**3 - 4*n**2 + 25. Let b be h(-5). What is the highest common factor of 75 and b? 25 Let l be 58/7 - 2/7. Let o(w) = 2*w**2 + l*w + w**3 - 1 - 1 - 9*w**2. Let u be o(6). What is the greatest common factor of u and 110? 10 Suppose 0 = -2*d + 3*z - 6*z + 93, 0 = -3*d + 5*z + 111. Let l be d/8*(4 + 8). What is the highest common divisor of 9 and l? 9 Let s(f) = 2*f**2 + 2*f + 6. Let n be s(-4). Calculate the highest common divisor of n and 12.
{ "pile_set_name": "DM Mathematics" }
- 7*k + 36 = 0. Let y be z(k). Solve -m - y = -4*c + 4*m, 0 = c - 5*m - 19 for c. -1 Let d = -80 - -68. Let g = d + 42. Solve 3*x = 3*r - 0*r - 30, 0 = -4*r + 2*x + g for r. 5 Suppose n + 0*n - 2 = -4*a, 4*n + 2*a = 8. Let y = 7 - 5. Suppose 0 = -q - r + y, -5*q + 22 = -0*r + 2*r. Solve -q = -3*c + 3*d, 3*c - 3*d = -n*c + 6 for c. 0 Suppose -47 = -2*a - 41. Solve 3*x = -a*y, -5*y - x = -4*x + 16 for y. -2 Suppose 2*q + 3 = 5*q. Suppose 3*o = -3*k + k + 3, -2*k + 5 = o. Let l = 10 - k. Solve -l = -4*y + q, -y - 10 = -3*b for b. 4 Suppose 9 - 75 = 2*l. Let a = -31 - l. Solve a*n = 5*m, 3*n + 20 - 5 = 0 for m. -2 Let y(x) = 4*x**3 - 6*x**2 + 4*x + 1. Let p be y(1). Solve -5*k = 3*c - 5, 3*k - 8 = -p*c + 1 for k. -2 Let l = 9 + -4. Let h(t) = -t**2 - 2*t + 13. Let j be h(l). Let a = -18 - j. Solve i - 3*g = 13, a*g - 4 = 5*g for i. 1 Suppose 60 - 10 = 4*q - 3*v, 0 = 3*q + 4*v - 25. Suppose -2*s = -17 - q. Suppose 3*d = -d - 4*c + 8, 0 = c. Solve -3*y - 2*u = s, -2*y - 1 = d*u + 11 for y. -2 Suppose -1 = l - 27. Suppose 22*n + 25 - 69 = 0. Solve -4*h + 5*w - 31 = 0, 0 = -5*h + 4*w - n*w - l for h. -4 Suppose -4*c - 11 = -3*f, 4*f + c + 347 - 368 = 0. Solve k - f*i = -0*i - 19, 21 = k + 5*i for k. 1 Suppose -7*c = -0 - 28. Suppose -4*i + 34 = -i + 5*j, -c*j = -3*i - 11. Solve 20 = -2*w - 5*f, -29 = i*w + 2*w + 2*f for w. -5 Let r = 302 - 299. Solve 6*i = i + z + 21, r*i - 8 = -4*z for i. 4 Let q = 163 + -142. Let s(v) = -5*v + 112. Let w be s(q). Solve -4*i = 2*b - 1 + w, 5*b = 5*i + 15 for i. -2 Let j = 3000 + -2998. Suppose 0 = -t - 0 + 18. Solve -5*r - 3*p = 0, p - j - t = 5*r for r. -3 Let y be (1*6)/(6/4). Let l(j) = j**3 + 4*j**2 - 8. Let u be l(-4). Let m be 0 - y - u - 4. Solve -5*o + 0 = -3*c + 10, m = 5*o + 2*c - 15 for o. 1 Suppose 7*m + 13 = 3*s + 3*m, 17 = 4*s - 5*m. Solve -2*l + 2*i = -18, 6 + 2 = -s*l - 4*i for l. 4 Suppose -16*z = -19*z + 2*i + 19, z + 3*i = -12. Solve -2*b + 13 = -z*k, 0 = 5*k - b + 21 + 3 for k. -5 Let f(y) = 11*y - 14. Let x be f(2). Let q be 1/(5*(-4)/(-100)). Solve -9 = j - 4*z + x, 0 = -j - q*z + 10 for j. -5 Suppose 3*q - 15 = u - 10, -7 = 3*q + 5*u. Solve -12 = 2*h - 3*l, -3*l - q = -13 for h. 0 Let a(k) = k**2 - 24*k + 28. Let m be a(23). Solve 0*s + 2*s + 11 = 3*q, 24 = 4*q - m*s for q. 1 Let s(t) = -4*t - 2. Let v be s(-2). Let m = -4 + v. Suppose -22*p = 17*p - 819. Solve 0 = 4*j + u - p, -5*j - m*u + 25 = -5 for j. 4 Let p be 0/(-2 - 3/3). Let d be (p + 1)/((-1)/(-9)). Suppose -3*x = l + d - 65, -4*x = -3*l - 66. Solve -x = -5*w - 0*j + j, 0 = 4*w + 5*j + 3 for w. 3 Suppose 0 = -5*i - 25, -2*n + 0*i - 3*i - 15 = 0. Let l be (-19 - -14)/(-1 + n). Solve -13 = 2*d - 3, -d = -o + l for o. 0 Let b(q) = 13*q + 81. Let j be b(-6). Solve -j*s + 2 = -2*t, 2*t = -2*s + 3*t for s. -2 Suppose -10*o - 371 - 479 = 0. Let q = -81 - o. Solve -q*g = 2*u - u + 12, 5*u + 18 = g for u. -4 Suppose -j - 3*o - 15 = -6*j, -10 = 2*j + 2*o. Let p(y) = -y**2 + 7*y - 4. Let g be p(6). Solve g*r + 2*v = 12, -2*r + 2*v + 0*v - 8 = j for r. 1 Let v = -36 + 51. Let l(s) = -s**3 + 14*s**2 + 14*s + 16. Let k be l(v). Solve 12 = -4*c - 2*r - 8, 0 = -c + r + k for c. -3 Let j = -1506 - -1512. Let u = 5 - 0. Suppose 2*z - 2*x = 2, j*z + u*x - 25 = z. Solve -3*y = -4*g - 0 + 7, z*g + 11 = -y for g. -2 Let l = 5486 - 5483. Let y be 1/4 + 182/8. Suppose -y = -5*g + 2. Solve g*z = 4*m + 45, -2*z - l*m - 5 = -0*z for z. 5 Suppose 2*j + g - 1 = -2*j, -3*j - 3*g + 3 = 0. Let c be -2 + 0 + -2 + j. Let h = c - -4. Solve -z + h*z = -5*y + 10, -y = -3*z - 2 for z. 0 Suppose -7*y + 5*m = -20, -4*y - 8 = -0*m + 2*m. Solve y = -5*i - f + 15, 3 = i + 4*f - 0*f for i. 3 Suppose 1 - 16 = -5*g. Let o be -1*(2/4 - (-10)/(-20)). Suppose -9*k - 3*k = o. Solve k = -5*m + 4*m + g*p - 2, -3*p = 3*m + 18 for m. -5 Let d = -26 - -35. Suppose 0 = 6*l - d - 9. Solve 4*o + 9 = -2*v + 9*o, -v = -2*o + l for v. 3 Let n(t) = -73*t - 262. Let s be n(-4). Solve g + 5*c - s = 6*g, 5*c - 26 = g for g. -1 Let v(z) = z + 9. Let b be v(-6). Suppose b = -3*a + 4*a + 3*g, -2*a = -4*g - 6. Solve -u = 3, 27 = -0*n + a*n - 4*u for n. 5 Let u = -731 - -734. Let o be 63/49 - (-4)/(-14). Solve -w - o = w + l, 3*w + 3*l - u = 0 for w. -2 Suppose 0 = 2*q - 0*q - 8. Suppose 3*o + 9 = -0*o, 103 = -4*z - o. Let j = -15 - z. Solve -q*y + j = x + 2*x, 3*x - 11 = -5*y for y. 1 Suppose 0*j = -10*j. Suppose 0*g + 2*g - 8*g = j. Solve g*a + 3 = 2*a - x, 3*x - 2 = -5*a for a. 1 Let l(f) be the second derivative of f**3/6 + 3*f**2/2 + 6*f. Let j be l(4). Suppose 5 = 3*x - j. Solve 0 = 4*n + 2*v - 3*v - 11, n = x*v - 1 for n. 3 Let m(q) = -6*q - 3. Let g be m(-2). Suppose g = 3*b - 0. Solve 5*n - 5*i = -b - 12, -3*n + 4*i - 9 = 0 for n. -3 Let n(u) = 3*u - 31. Let v be n(17). Let o be (v/8)/(-5) + 22/4. Solve 18 = 5*a + b, -4*b = o*a - 9*a for a. 3 Suppose -6*y + 11*y = -15. Let a be y/6*(4 - 8). Solve 0 = 5*i - 5, a*k + 4*i - 5 = 9 for k. 5 Let b = -1967 + 1971. Solve -10 = -2*r - b*q, -r + 0*q - 5 = -3*q for r. 1 Let g = -41 + 134. Suppose -g = -3*h + 60. Let l = -35 + h. Solve -o = -5*k - 24, l = -3*k + 1 for o. -1 Let j(d) = d**2 + 7*d - 2. Let a be j(-8). Let p(o) = 6*o**2 + 2*o - 2. Let s be p(-3). Let x be (s + -1)*a/15. Solve -4*h = h - r, -2*h + 4*r + x = 0 for h. -1 Suppose 0*z = 3*z - 3*u - 12, 0 = 5*u + 20. Suppose z = 3*r - 15 + 6. Suppose -r*n = -2*n - 15. Solve -4*w = -2*j + 1 + 29, -2*j + w + n = 0 for j. 5 Suppose -76 + 58 = -9*g. Solve -4*p + g*c - 2 = 0, 0 = -3*c - 10 + 1 for p. -2 Suppose -3*f = -2*g + 5*g - 30, -5*g + 70 = f. Suppose -2*c - c = r - 9, 5*c = 2*r + g. Solve -3*s + 9 = c*a, -2*a + 3*a + 5*s - 3 = 0 for a. 3 Let n(d) = d**3 - 4*d**2 + 5*d - 17. Let t be n(4). Solve c + 6 = -4*w + 17, -13 = 4*c - t*w for c. -1 Suppose -3*p - 46 = 3*b - 2*b, -p = 2*b + 17. Let n be -6*(p/6 + 2). Solve 2*c = -n*g + 1, -4*g - 3*c + 0 + 1 = 0 for g. 1 Let t = 1738 - 1735. Solve f + t = 0, -4*s - f - 9 = -2 for s. -1 Let w(x) = -66*x + 2. Let g be w(-1). Suppose -g*q = -65*q - 9. Solve 5 = 5*n, 0 = -5*b - q*n + 1 - 3 for b. -1 Suppose o - 6 = -3. Suppose 5*t - 10 = -3*l, t + 9 = l - o*t. Suppose l*q - q = 16. Solve -2*m - 1 = -q*p + 11, 27 = 3*p + 3*m for p. 5 Let y = -2 - -6. Suppose -y = -4*g - 4*k, 23 = -5*g + 4*k + 1. Let b be (3/6)/(g/(-20)). Solve b*i + 19 = 3*s, -3*s - 4*i = -1 - 0 for s. 3 Let d(y) = y**3 - 14*y**2 + 47*y + 10. Let x be d(6). Solve -13*o - x*g = -18*o - 31, 0 = -g + 4 for o. -3 Let j(y) = 166*y - 5308. Let s be j(32). Let l(o) = -18*o - 1. Let v be l(-1). Solve -s*d - 10 = -2*z, -3*z = d + d + v for d. -4 Let v = 186 - 181. Solve -2*b + 0*c = c + 3, -v*b + 10 = -c for b. 1 Let y be 92/28 + 4/(-14). Suppose -3*p + 5*p = -y*b + 12, -4*p + 14 = b. Suppose -38 = -26*g + 118. Solve -3*v + 9 = p*i, -5*i + g = 2*v - 0 for v. 3 Let p = -1 + 1. Let i(g) = g**2 + 4*g - 3. Let f be i(-5). Let m be 2*12/48*4. Solve 0 = -p*x - m*x - 5*q + f, q = -x + 1 for x. 1 Let i(v) = v**2 - 7*v - 70. Let n be i(13). Solve 0 = -3*a - 3*y - 12, 0 = -a + 3*y + 4 + n for a. 0 Let x = 182 - 161. Solve 5*j - x = -o, -4*j + 4*o + 1 = -11 for j. 4 Suppose 5*n = -5 + 30. Let h be 12 + (4 - (n - 4)). Solve -z = 2*q - h, 0*q + 2*z - 20 = -2*q for q. 5 Suppose 45*c - 532 = 7*c. Solve 4*z = t - c, 9*z + 19 = 4*z + 2*t for z. -3 Suppose 0 = 4*p - 2*p, p = 5*t - 105. Suppose -2*r + t = 11. Solve -r*n = -3*g - 31, -2*n + 9 = -2*g - n for g. -2 Let c(l) = l**2 + 5*l. Let k be c(-6). Let z(v) = -1 + k + v**2 - 1. Let s be z(-3). Solve -28 = 5*i - g, 3*g + g + s = -5*i for i. -5 Let t = 766 - 764. Solve 4*v - 28 = -3*h, 2*v + t*h = 6*h - 8 for v. 4 Suppose 0*z = z + 2*v + 2, 0 = -4*z + 4*v + 4. Suppose w = -z*w - m - 8, 2*w = -3*m - 12. Let t = w - -16. Solve -t*y = -b + 22 - 7, -4*b - 15 = -y for b. -5 Let j = 1735 + -1735. Solve j = -2*q - l + 3 - 0, -3*q = -3*l - 18 for q. 3 Let o(x) = x + x + 3*x**2 + 2 - 2*x**3 - x**2 - x**2. Let y be o(-1). Solve y*u = -5*g - 2, -7*g + 3*g - 1 = 3*u for g. -1 Let b(u) be the third derivative of 1/60*u**5 + 0 + 0*u + 5*u**2 - 1/3*u**3 + 0*u**4. Let z be b(2). Solve 5*a - 26 = 3*h, 4*a = 5*h + z*a + 18 for h. -2 Suppose 4*h - 30 = -2*s - 26, h - 5*s - 23 = 0. Solve 0 = 2*q + 2*g + 16, h*q - 6*q + 16 = -5*g for q. -3 Let p(a) = a + 7. Let u be p(-4). Suppose 6*v - u*
{ "pile_set_name": "DM Mathematics" }
t*u**2 + 7*t + u**2 + 529 wrt t? -48*u**2 + 7 Find the second derivative of l**2*r**3 - 103*l**2 - 703*l*r**5 + 8*r wrt r. 6*l**2*r - 14060*l*r**3 Find the second derivative of 3*m**2*n**3 - 172*m**2*n**2 + 16*m + 18*n**3 wrt m. 6*n**3 - 344*n**2 Find the second derivative of -564*x**3 + 6007*x wrt x. -3384*x What is the second derivative of 5*j**3 - 716*j**2 - 2377*j? 30*j - 1432 What is the third derivative of 2212*g**3 + 2*g**2 - g + 14 wrt g? 13272 What is the second derivative of -1086*m**5*y - 2*m**2*y**2 + m*y**2 - 1513*m*y wrt m? -21720*m**3*y - 4*y**2 Find the first derivative of -3138*n**3 - 9989 wrt n. -9414*n**2 Find the second derivative of 52*k*q*t**2 + 11*k*q - k*t - 2*k - 2*q*t**3 - 3*q*t**2 wrt t. 104*k*q - 12*q*t - 6*q What is the third derivative of 85*r**3*s**3 + 2*r**3 - 26*r**2*s**3 + 2*r*s**2 + 1200*s wrt s? 510*r**3 - 156*r**2 What is the third derivative of -199*g**2*x**5 + 31*g**2*x**2 - g*x**5 - g*x**2 - 5*g wrt x? -11940*g**2*x**2 - 60*g*x**2 What is the second derivative of -h**5 - 139*h**2 + 282*h wrt h? -20*h**3 - 278 What is the third derivative of 248*b**5*g - b**2*g + 2*b**2 + g wrt b? 14880*b**2*g Find the third derivative of 3*k*s**3 - 18*k*s**2 + 2*s**4 - 11*s**3 - 5*s**2 wrt s. 18*k + 48*s - 66 Find the first derivative of 119*d**4*p**3 - 7*d**4*p**2 - 52*p**3 + 8*p**2 wrt d. 476*d**3*p**3 - 28*d**3*p**2 Find the third derivative of -32*d**5*h**3 + 3*d**4*h**3 - 5*d**2*h + 2*h**3 wrt d. -1920*d**2*h**3 + 72*d*h**3 What is the third derivative of -4844*c**3 - 2*c**2 + c + 2203? -29064 What is the third derivative of -10*h**6*t**3 - 16*h**6*t + h**2 + 7*t**3 wrt h? -1200*h**3*t**3 - 1920*h**3*t What is the second derivative of 2*a**4*n - 2*a**3*n**2 - a**2*n + 117*a*n - a - n**2 wrt a? 24*a**2*n - 12*a*n**2 - 2*n What is the third derivative of 197*s**3 - 196*s**2 wrt s? 1182 What is the second derivative of -21548*i**2 + 3266*i + 1? -43096 Find the third derivative of -3*f**5 + 11*f**3 - 9*f**2 - 10. -180*f**2 + 66 Differentiate 185*q**4 - 4*q + 2692 with respect to q. 740*q**3 - 4 Differentiate 38*k**3*p - 39*p wrt k. 114*k**2*p Find the first derivative of d**3*h**2 - 2*d**3*h*o + d**3*o + 625*d*h**2*o + 1217*d*h**2 wrt o. -2*d**3*h + d**3 + 625*d*h**2 Find the second derivative of 10177*g**4 + 20*g + 41 wrt g. 122124*g**2 Find the second derivative of 2*g**3*u - g**2*t*u + g**2 - 2*g*u + 10*t*u - 2*u wrt g. 12*g*u - 2*t*u + 2 What is the second derivative of 554*s**2*v**3 - 5*s*v**3 + 6*s wrt s? 1108*v**3 Find the third derivative of -5*n**5 - 3*n**2 + 18*n. -300*n**2 What is the second derivative of -4*h**4 + 34*h**3 - 366*h? -48*h**2 + 204*h Find the second derivative of 1395*j*r**2 + 8*j*r - r**3 - 34*r wrt r. 2790*j - 6*r Find the second derivative of w**5 - 4*w**3 + 89*w**2 - 3216*w wrt w. 20*w**3 - 24*w + 178 What is the third derivative of 7750*m**4 + 10*m**2 - 94*m wrt m? 186000*m Find the second derivative of 548*z**4 + 110*z + 2 wrt z. 6576*z**2 Find the third derivative of 314*q**3*w**3 - 2*q**3*w - 5*q**2*w**2 - 5*q*w**2 wrt w. 1884*q**3 Differentiate 864*i*k**3 - 2*k**3 + 2*k - 171 with respect to i. 864*k**3 What is the derivative of -1655*p**3*z + 579*p**3 + 4*p wrt z? -1655*p**3 Find the second derivative of -48*q**4 + 92*q**3 + 2*q**2 + 786*q + 3. -576*q**2 + 552*q + 4 What is the third derivative of 149*d**3 - 64*d**2 - 3*d? 894 What is the third derivative of -586*h**4*i**2*x - 3*h**3*i*x + h**2*i**2 + 2*h**2 + 15*h*i*x - 2*i*x + 4 wrt h? -14064*h*i**2*x - 18*i*x Differentiate -22*b**4*n**2 + 7*b*n**2 - 704*n**2 wrt b. -88*b**3*n**2 + 7*n**2 What is the first derivative of 427*z**2 - 537? 854*z Find the second derivative of -210*o**2*q**3 - 4*o**2 + o*q - 5*o - 8*q**3 - q**2 wrt o. -420*q**3 - 8 Find the third derivative of -22*j*p*v - 2*j*v**3 + 180*p*v**3 + 5*p*v**2 + 39*p + 15*v**5 wrt v. -12*j + 1080*p + 900*v**2 What is the third derivative of -p**3*u - 132*p**3 - p**2*u + 4*p*u + 19*u wrt p? -6*u - 792 Find the second derivative of 24*n**3*p**5 - 12*n**3*p + 5*n**2 wrt p. 480*n**3*p**3 What is the third derivative of 3*l**2*q**3 + 93*l**2*q + 92*l*q**3 + 2*q**2 wrt q? 18*l**2 + 552*l What is the third derivative of 9*j**3 - 48*j**2 wrt j? 54 What is the second derivative of 3*a*b**3*q + 40*a*b**3 - 15*a*b + 2*a*q + 3*b**2*q - 51*b*q wrt b? 18*a*b*q + 240*a*b + 6*q What is the second derivative of -709*g**2 + 205*g + 1? -1418 What is the third derivative of -1769*t**5 + t**2 - 5*t? -106140*t**2 Find the third derivative of 140*j**5*m**2 - 11*j**5 + 213*j**2*m**2 - 2*j**2*m + 3 wrt j. 8400*j**2*m**2 - 660*j**2 Find the third derivative of m**5 + 8531*m**4 - m**3 - 2861*m**2 - 5*m wrt m. 60*m**2 + 204744*m - 6 Find the second derivative of -92*j**2*r**3*v - 2*j**2*r**3 - 4*j**2 + j*r - 7*j*v - 2*j wrt r. -552*j**2*r*v - 12*j**2*r What is the derivative of 2*h**4 - 2*h**3 - 2144*h + 3845? 8*h**3 - 6*h**2 - 2144 What is the second derivative of -57*h**3*j - 2*h**3 - h**2*j - 2*h**2 - h*j + 509 wrt h? -342*h*j - 12*h - 2*j - 4 Differentiate -2*u**3 - 118*u + 308 wrt u. -6*u**2 - 118 Find the third derivative of 2*f**2*s**4 + 8*f**2*s - 5*f*s**4 - f*s**2 + 12*s**5 wrt s. 48*f**2*s - 120*f*s + 720*s**2 What is the derivative of 101*l**2*n*w**2 - n*w**2 - 72*n wrt l? 202*l*n*w**2 Differentiate -1034*v**3 + 1072 wrt v. -3102*v**2 Find the third derivative of 2239*r**4 + r**3 - 9153*r**2 wrt r. 53736*r + 6 What is the derivative of 28*l**4 + 7*l**3 - 375? 112*l**3 + 21*l**2 What is the third derivative of 523*a**6*q - 1175*a**2*q wrt a? 62760*a**3*q Find the third derivative of -130*h*r**3*t**2 + 3*h*r**2*t**2 + 6*h*r**2 - 5*h*t + 20*r**3 + 3*r*t**2 + 2 wrt r. -780*h*t**2 + 120 What is the second derivative of 11*k**4*r + 2*k**3*r - k**2*r - 2*k*r + 82*k - 2*r wrt k? 132*k**2*r + 12*k*r - 2*r What is the first derivative of -2*b*p*r**3 + 2*b*p*r + 5*b*r**3*x + 126*b*r**2 + 893*p*x - 2*r**3*x wrt p? -2*b*r**3 + 2*b*r + 893*x What is the third derivative of -1453*a**5 - 44*a**2 - 10 wrt a? -87180*a**2 Find the first derivative of -296*k**2 - k + 1532 wrt k. -592*k - 1 Find the first derivative of 6*k**2*r**2 + 2*k**2 + 36*k*r**2 - 917*k + 2*r**2 wrt r. 12*k**2*r + 72*k*r + 4*r Find the second derivative of -3*k**2*x**2 + 1987*k**2*x - 75*k*x**2 wrt x. -6*k**2 - 150*k What is the third derivative of 161*q**6 - q**2 + 13? 19320*q**3 Differentiate 4279*o + 103 with respect to o. 4279 What is the third derivative of 1133*b**3 - b**2 + 13*b + 7 wrt b? 6798 Differentiate 582*c**3*f**2*s - 29*c**3*f - 2*c**2*f**2 + f**2 wrt s. 582*c**3*f**2 Find the first derivative of -10008*c*o**2 - 2*o**2 - 74*o + 3 wrt c. -10008*o**2 Find the second derivative of -3*a*g**3*k**2 + 412*a*g*k**2 + 379*a*g*k + 2*g**3*k + 7*g**3 wrt k. -6*a*g**3 + 824*a*g Find the second derivative of 13668*f**4 + 4235*f. 164016*f**2 Find the third derivative of -16*f*m**5 - f*m**4 + 1226*f*m**2 - 51*m**3 - 4*m**2 wrt m. -960*f*m**2 - 24*f*m - 306 Find the third derivative of 5*s**5 - 3*s**3 - s**2 + 9*s. 300*s**2 - 18 Find the second derivative of 47*d**2 + 182*d + 1. 94 Find the third derivative of -33*f*l*o**3 - 4*f*l*o + f*l + 16*f*o**3 - o**2 wrt o. -198*f*l + 96*f What is the derivative of -3650*h*v - 25786*v wrt h? -3650*v What is the second derivative of 26*o**5*z + 6*o**2*z + 2*o + 1186*z wrt o? 520*o**3*z + 12*z Differentiate 230*u + 625 with respect to u. 230 What is the derivative of f**2*h**2 - f*h**3 + 13*f - 111*h**3 wrt f? 2*f*h**2 - h**3 + 13 What is the second derivative of 1274*w**5 + 17*w + 4 wrt w? 25480*w**3 What is the third derivative of 5779*b*h**3 - 690*b + 2*h**2 wrt h? 34674*b Find the third derivative of 287*x**4 + 2*x**3 - 78*x**2. 6888*x + 12 What is the derivative of 2593*c + 4770? 2593 What is the second derivative of -160*j**3*o*r**2 + 7*j**3*r + 26*j**2*o*r**2 + 4*j**2*o + 3*j*r wrt r? -320*j**3*o + 52*j**2*o What is the second derivative of 130*y**4 + 2*y**3 - 2*y**2 - 3566*y wrt y? 1560*y**2 + 12*y - 4 What is the first derivative of -5*u**3*y - u**3 - 72*u*y - 56 wrt y? -5*u**3 - 72*u Find the third derivative of -2443*f**5 - 3*f**2 + 182*f wrt f. -146580*f**2 What is the third derivative of 150*v**3*x**3 - 6*v**3*x**2 + 2*v*x**2 - 21*x wrt x? 900*v**3 What is the first derivative of 62*i*n*
{ "pile_set_name": "DM Mathematics" }
f y. 2, 5 Suppose 51*w = 50*w - 3. Let v = w - 13. Let j(u) = 3*u**2 + 38*u - 19. List the prime factors of j(v). 3, 47 Let y(p) = -p**3 + 12*p**2 - 4*p - 24. Let c(w) = w**3 - 20*w**2 + w - 22. Let t be c(20). Let i = t - -12. List the prime factors of y(i). 2, 17 Suppose -8*u + 7*u + 41 = 0. Suppose u*b - 1150 = 36*b. What are the prime factors of b? 2, 5, 23 Let r(k) = -3*k**3 - 42*k - 1097. Let i(l) = -l**3 - 14*l - 365. Let t(c) = 11*i(c) - 4*r(c). List the prime factors of t(0). 373 Let c(a) = 9*a**3 - 3*a**2 - 3*a - 1. Let p be c(-2). Let z = p - -81. Suppose z*f - 154 = -9*f. What are the prime factors of f? 2, 7 Let q = -192 + 75. Let s = q - -131. What are the prime factors of s? 2, 7 Let a(z) = 7*z**2 - 25*z - 2. Let p be a(4). List the prime factors of (-4)/p + (-18560)/(-25). 2, 7, 53 Let l be (-5)/((-3)/(-216)*-1). What are the prime factors of l + (1/(-4) - 7/(-28))? 2, 3, 5 Suppose 15*s - 1211 = -5456. Let b = s + 1934. What are the prime factors of b? 13, 127 Suppose 7 = 6*j + 7. Suppose 42*v - 44*v + 42 = j. Suppose -v*n = -15*n - 558. List the prime factors of n. 3, 31 Let a = 28611 - 9541. List the prime factors of a. 2, 5, 1907 Suppose -2*b + 2*h + 224 = 2*b, 2*h = 5*b - 280. Let t = -69 + b. Let y = t - -25. List the prime factors of y. 2, 3 Suppose 2*a = -y - 13, 5*a - 2 = -3*y - 32. Let o be (2 - 8/2) + (-6 - a). Suppose -o = 4*x - 101. What are the prime factors of x? 5 Let r = -14 + 16. Suppose -r*y - 292 = 4*o + 2*y, -4*o - 288 = 3*y. Let g = o - -153. What are the prime factors of g? 2, 3, 7 List the prime factors of (-3 - (-1165745)/49) + 30/105. 2, 19, 313 Suppose 24*y + 4*i + 21077 = 27*y, 0 = -3*y - 3*i + 21063. List the prime factors of y. 3, 2341 Suppose -640 = -4*l + 2124. Suppose 3*r - l - 410 = -3*s, 0 = -r - 4*s + 379. Suppose -4*y - f = -r, 2*y + 0*f - 5*f - 165 = 0. List the prime factors of y. 2, 3, 5 Let m be 4/(-6) - (-3 - (-329)/(-21)). Let q(y) = -y**3 + 18*y**2 + 6*y - 15. What are the prime factors of q(m)? 3, 31 List the prime factors of (-1)/(-7) + 78744*(-56)/(-294). 53, 283 Let w = -35228 - -50350. What are the prime factors of w? 2, 7561 Let y = 30 + -30. Let g be (y - -2)*4*(-18)/(-16). Suppose -7*h - 142 = -g*h. List the prime factors of h. 71 Suppose 36*y - 57*y = 54*y - 1738950. What are the prime factors of y? 2, 11593 Let s be ((-2405)/(-10))/((-3)/6). Let b = -154 - s. What are the prime factors of b? 3, 109 Suppose -491 = -s + o, 5*s + o - 3574 = -1107. What are the prime factors of s? 17, 29 Let v = 13 - -41. Suppose 0 = 2*q + 2*o - 78, 0 = q + 4*o + 18 - v. List the prime factors of q. 2, 5 Suppose 0 = -5*v - 3*o + 6 - 0, v = o + 6. Suppose -31*g + q = -36*g + 5020, v*g = 3*q + 2994. List the prime factors of g. 17, 59 List the prime factors of 27110 + ((-8)/(-28))/((-2)/(-28)). 2, 3, 4519 Let f = 59 + -57. Let x(j) = -3*j + 2*j + 3*j**f - 5*j - j + 4. List the prime factors of x(4). 2, 3 Let a(x) = 2*x**3 - 2*x**2 + 8*x + 14. Let j be a(9). Let n = j + -795. What are the prime factors of n? 587 Suppose 4*m - 4*d + 12 = 0, -99*m + d = -94*m - 1. Let n(g) = 595*g**3 - g**2 + g. List the prime factors of n(m). 5, 7, 17 Let p = -316 + 570. Let w = 62 + p. What are the prime factors of w? 2, 79 Let y = -64 - -129. Let o = y - 60. Suppose -a = -4*d + 3*a + 124, -31 = -d + o*a. List the prime factors of d. 31 Suppose 0 = 4*q - 8, 2*f - 6*f = -q - 10. Suppose -f*n = -2*v - 2105, 9*n + 3*v = 4*n + 3502. List the prime factors of n. 701 What are the prime factors of (7652/(-7) + ((-285)/(-105))/19)*-10? 2, 5, 1093 Suppose -5*a = 2*y - 30, -3*a + 10 = 2*y - 12. Suppose -30 = -0*p - p - x, -x - 70 = -3*p. Suppose 25 = y*h - p. List the prime factors of h. 2, 5 Suppose 0 = 4*a + 2*t - 158, 2*a - t + 5*t - 64 = 0. Suppose a = 7*i + 14. Suppose -3*y = i*y - 413. List the prime factors of y. 59 Let w = -155 - -161. Suppose w*z - 3*a = 2*z + 903, -z - 3*a = -207. What are the prime factors of z? 2, 3, 37 Suppose -92 = -2*r - 2*r. Let s = 12 - r. Let n(p) = -2*p + 28. List the prime factors of n(s). 2, 5 Suppose 0 = -2*g + 5*y + 1112, 0 = 2*g - 7*g - y + 2807. Let a = g - 209. What are the prime factors of a? 2, 11 Suppose -205 = 4*k - 197. Let i(c) = -162*c - 9. List the prime factors of i(k). 3, 5, 7 Let y(d) = -1417*d**3 - 2*d - 2. Let i be y(-1). Suppose -1393 = -t - 5*j, 12*j + i = t + 9*j. List the prime factors of t. 2, 11 Let r be (-12)/(-9)*3/2. Let d be (-2)/(((3 + -1)/r)/(-14)). List the prime factors of (-1)/(-7) - (-4560)/d. 163 Suppose 232 = 18*m - 2072. Suppose -m = -21*p - 23. List the prime factors of p. 5 What are the prime factors of 47787 + ((-5)/(-4))/(((-27)/(-3))/(-36))? 2, 7, 3413 Let k = -32 + 71. Suppose -35*d + k*d + 160 = 0. Let f = -21 - d. List the prime factors of f. 19 Let m(w) = -99*w + 11. Let v be m(1). Let j = v + 363. What are the prime factors of j? 5, 11 Let o = 2759 + -486. Suppose -o = -4*m + 1183. List the prime factors of m. 2, 3 Let i(a) = 7557*a + 154. What are the prime factors of i(1)? 11, 701 Suppose -13*z = -11*z + 30. Let o = -68 - z. Let w = o - -148. List the prime factors of w. 5, 19 Let k = 945 + -950. Suppose 3*t + n + 2 = -14, 36 = -3*t + 3*n. List the prime factors of t*(0 - k - 10). 5, 7 Suppose 932 = -2*n + n. Let a = -208 - n. Suppose -5*v + 4*h + a = 0, h + 4 = 2*v - 285. What are the prime factors of v? 2, 3 Suppose -5*p - s = 0, -4*s + 3*s - 2 = 3*p. Let l be p + -40 + 14/7. Let i = -24 - l. List the prime factors of i. 13 Suppose -5*r + 2*c = -39, 4*c = -6*r + 2*r + 20. Suppose w = -r*w. Suppose 2*x = -w*x + 42. What are the prime factors of x? 3, 7 Let w(y) = y**3 - 47*y**2 - 70*y - 1613. What are the prime factors of w(54)? 23, 653 Let q(g) = -2*g**3 + 28*g**2 - 18*g + 1. Let t(w) = 15*w**3 - w**2 - 2*w + 1. Let f be t(1). List the prime factors of q(f). 3, 5, 7 Suppose 18*b - 93 = 51. List the prime factors of 6284/24 + 0 - b/(-48). 2, 131 Suppose -314343 = 141*b - 194*b. List the prime factors of b. 3, 659 Suppose 5*u + 4*s = 2*u + 2449, -5*u - 3*s = -4089. Let d = 1197 - u. List the prime factors of d. 2, 3, 7 Suppose 267 = 5*w - p - 367, -12 = -2*p. What are the prime factors of w? 2 What are the prime factors of (8 - (0 - (-18375)/7))/(-1)? 2617 Let p = 129 - 130. List the prime factors of (p + 3/2)/((-11)/(-2222)). 101 Suppose -129 - 58 = g. Let v = 336 + g. What are the prime factors of v? 149 Suppose 108 = a - 86. Let v = a + 36. What are the prime factors of v? 2, 5, 23 Let m(v) = 2*v**2 - 21*v - 44. Let p be m(17). Suppose 0 = 5*w - 2*j - 2153, -4*w + 1548 = j - p. What are the prime factors of w? 431 Suppose 7*u + 2*q - 3*q - 11657 = 0, 0 = 2*u - 4*q - 3338. List the prime factors of u. 3, 5, 37 Let g(k) = 3884*k**2 + 40*k + 69. What are the prime factors of g(-2)? 3, 5, 23 Let g be 12 - (2 + -4 + 6). What are the prime factors of (-300)/(g + (-280)/32)? 2, 5 Let n(v) = -50*v**3 + v**2. Let b be (3/9)/(4/(-84)). Let i be b/8 - (-8)/(-64). What are the prime factors of n(i)? 3, 17 Let f = -33 - -48. Suppose -f*g = -14431 - 4604. Suppose 5*k = g - 99. List the prime factors of k. 2, 3, 13 Let j(z) = 30*z + 69. Let t be (-33)/(-24)*11 - 6/48. What are the prime factors of j(t)? 3, 173 Suppose -u = -2*h - 12, 0 - 6 = -2*u - 2*h. Suppose 256 = d + 14*r - 9*r, -2*r = -u. List the prime factors of d. 241 Let l(r) = 5836*r**2 + 32*r - 27. What are the prime factors of l(1)? 3, 11, 59 Let o(k) = 39*k**2 + 121*k - 137. What are the prime factors of o(22)? 21401 Suppose 5*l + 5 = -3*d + 79, 2*d + 2*l - 48 = 0. Suppose -8 = 3*x - d. Suppose 0 = 5*w + x*k - 1130, 5*w + k = 3*k + 1137. What are the prime factors of w? 227 Let n(p) = -p**3 - 11*p**2 - 2*p - 22. Let q be n(-11). Suppose 4*b + 0 - 20 = q. List the prime factors of ((-1)/b*-2)/(24/960). 2 Let h(n) = 2*n**2 + 3*n + 3. Let q be h(-1). Let d be (75 + 3 + -3)*(8 - q). Let j = d - 263. List the prime factors of j. 11, 17 Let v(q) = -q**3 + 21*q**2 - 14*q - 87. Suppose 3*m - 23 = -4*k + 31, -m + 4*k + 18 = 0. List the prime factors of v(m). 3, 211 Let a = 1524 + -921. Suppose 0*w = -3*w + a. What are the prime factors of w? 3, 67 Suppose -i - r - 3 = 0, -2*i + 14*r - 19*r - 21 = 0. Suppose -5*l + x = -560, i*l + 3*x - 2 - 222 = 0. What are the prime factors of l? 2, 7 What ar
{ "pile_set_name": "DM Mathematics" }
- 19 - (-5 + 1). -1 Calculate (-2 + 5 - 4) + -15 + 7. -9 Calculate -10 - (7 - 8 - 2). -7 What is (-3 - 1) + 4 + -4? -4 What is 2 - (7 + -3) - (2 - 1)? -3 What is the value of -4 - (-2 - (1 + 1 - 3))? -3 What is 1 + 2 - (-3 - -5 - -6)? -5 Evaluate (-1 - -3) + (27 - 35). -6 -3 - -1 - -5 - 4 - -5 4 What is 1 - (3 - 17 - -8)? 7 Evaluate 3 + (3 - 1) - (-9 - -14). 0 Calculate -1 - -3 - (1 + (1 - 2)). 2 What is the value of (-6 - ((-12 - -7) + -1)) + 2? 2 (3 - -12) + -11 + -8 -4 Calculate -1 - (6 + -3) - -4. 0 What is -10 + 15 + -5 + -3? -3 What is the value of 0 + -1 - (-1 + -2)? 2 Evaluate 5 + -3 + 2 - (-7 - -16). -5 Evaluate -1 + 2 + (-4 - 1) + -3. -7 Calculate -4 + (32 + -38 - (0 - 6)). -4 What is the value of -5 - -4 - (2 + (4 - 7))? 0 (1 + 4 - (-1 + 1)) + -3 2 -3 - 1 - (2 + -1 + 0) -5 What is (2 - (1 + -1)) + (-52 - -54)? 4 Evaluate 6 - (-4 + 16) - (-2 - 2). -2 9 + (1 - 11) + -6 -7 Calculate 10 - 8 - (5 - 1). -2 What is the value of 2 - -5 - (11 - 3)? -1 2 - 11 - (75 + -75) -9 What is the value of 0 - -5 - (25 - 16)? -4 13 + -15 + 0 + 2 0 (-1 - -1) + (-2 - 2) -4 5 + (3 + -17 - -4) + 2 -3 What is the value of 3 + (2 - (3 + 6 - 0))? -4 What is 10 - (7 + 1 - 3)? 5 What is the value of (-2 - (-5 - 0)) + (-5 - -5)? 3 -2 - (0 + -2) - (0 + 3) -3 0 + -2 - (-1 + -4 - -8) -5 What is the value of 3 + -6 + 1 + -3? -5 What is the value of 3 + (-2 - 5 - -3) - -3? 2 11 + -17 + (-2 - (-5 + 2)) -5 Evaluate (-6 - 2 - 3) + 3. -8 -4 + (6 - (0 + 0)) - 5 -3 Evaluate 0 + (-2 - (1 + -3)) + 2. 2 What is 0 + -2 + 8 + -3? 3 What is -77 - -71 - (3 - 2)? -7 What is the value of 5 - (-9 - (-8 + 4) - -6)? 4 What is -42 - -40 - (2 - -1 - 0)? -5 What is the value of 39 + -49 - (-2 - 3)? -5 (9 - 8) + 6 + 0 + -1 6 Evaluate -9 - -2 - (36 + -36). -7 What is 0 + (-3 - -2) + -12 + 18? 5 What is the value of (6 - (-2 - -1)) + -1 + -2? 4 What is 5 + -2 + -13 + 1 + 8? -1 Calculate 3 + (-7 - 3) - -5. -2 What is the value of 1 + (1 - 2) + 0? 0 0 - ((-5 - 1) + -12 + 15) 3 (3 + -11 - -4) + (2 - 2) -4 (2 - (1 + -2)) + 15 + -16 2 What is the value of 2 + -2 + 7 - (-4 + 7)? 4 What is the value of -5 + -4 + (6 - (3 - 4))? -2 8 - 18 - (-3 + -1) -6 What is -8 - (3 + (6 - 16))? -1 Evaluate -10 + (-9 - -7) + 10. -2 Evaluate -5 + -6 + 18 + -5. 2 Calculate 0 + 1 - (101 - 103). 3 Calculate 6 - (8 - (4 + 0)) - -1. 3 10 + -6 + (-4 - 7 - 0) -7 Calculate -8 - (-5 - -12 - (-3 - -19)). 1 Evaluate 4 - 6 - (0 + 1). -3 What is 2 - (3 - (7 + -3))? 3 What is (-5 - -2) + -3 - (-4 + -10)? 8 Calculate (2 - (-2 + 3 + -3)) + 1. 5 Evaluate -1 + -3 - (-4 + (1 - -4)). -5 Calculate -6 + (27 - 27) + (1 - 0). -5 Calculate -3 - (0 + 5 + -8). 0 Calculate 5 - 11 - (-6 + (-8 - -5)). 3 What is the value of 0 - (4 - (2 + 3))? 1 What is 0 + 2 - (-8 + 14)? -4 Evaluate 3 - -4 - (1 - -1) - 11. -6 (1 - 0) + 1 + (-23 - -18) -3 Evaluate (-59 - -67) + -12 + 2. -2 Calculate 6 + -9 + 9 - 5. 1 Calculate -3 + (-9 - -6) + (-1 - -8). 1 -4 - (-4 + 5 - 12) - 2 5 What is the value of (-1 - -2 - -1) + 65 + -65? 2 Calculate 1 + (-1 - 1 - -3). 2 What is the value of -2 + -2 - -1 - (-6 + 9)? -6 Evaluate -1 + -4 - -6 - 4. -3 2 - 1 - (-1 - 0) 2 Evaluate 0 + -1 - (4 + -5 - 2). 2 Calculate -1 + 3 + 1 + -13 + 15. 5 Calculate (5 - (0 - (3 + -4))) + -1. 3 0 + -3 + (-1 - -2) + 4 2 Evaluate (1 - -1) + (-32 - -31). 1 What is the value of 9 - 8 - (1 - 0)? 0 What is the value of -3 + 2 - (7 - (-5 + 8))? -5 Calculate (2 - (5 - 5)) + -3 - 1. -2 What is the value of -2 + -1 + 8 - 10? -5 Evaluate (7 + 2 - (6 - 4)) + -4. 3 Evaluate 0 + 0 + (50 - 50). 0 Evaluate 11 - (4 + -11 + 10). 8 Calculate -30 + 16 - (-17 + 6). -3 What is -2 - 2 - (-15 + 14)? -3 Calculate 0 + 0 + (-1 - -2). 1 -2 - (6 - (1 + 3)) -4 Evaluate -2 - (7 + -6 + 3). -6 8 - (6 - 2 - -13) -9 What is the value of -7 - 0 - -1 - -9? 3 What is the value of 17 - 1 - ((11 - -10) + -14)? 9 Evaluate -7 + -1 + 0 + 5. -3 What is the value of 1 + -5 + 6 + -3 + 2? 1 What is the value of (12 - 0) + -3 + -10 + 5? 4 What is the value of 2 + (0 - -5) - 3? 4 What is 23 + -21 - (-3 + (0 - 5))? 10 What is the value of 4 - (-2 - (4 - 6))? 4 Evaluate -4 - (-6 + 3 - 2). 1 What is 18 + -7 + 6 + -11? 6 Evaluate 2 + (5 - (4 + -1)). 4 Calculate -8 + 6 + (1 - (-4 - -5)). -2 -4 + (-1 - (-3 - 0)) + -1 -3 Calculate 1 - -4 - (-22 - -29). -2 What is 3 + -4 + 5 + -6 + 3? 1 What is -7 + 7 + (0 - 1)? -1 Calculate -2 + 1 - (2 + -3). 0 What is the value of -3 + 2 + 3 - 2 - -3? 3 Evaluate -3 - 3 - -3 - -6 - 1. 2 Calculate 14 + (-29 - -8) + (0 - -3). -4 ((1 - 0) + 0 - 4) + 3 0 Evaluate 5 + (-7 - (-1 + -1)). 0 Calculate 4 + -3 - (11 - 11) - 2. -1 What is -1 - (-6 + 3 + 0) - 6? -4 Calculate -5 + 2 + 0 + 4. 1 Calculate 1 + -8 - (0 + -1 + -4). -2 1 + -8 - 2 - -4 -5 Evaluate 11 - (0 + 8) - -1. 4 What is (-3 - -2 - -2) + -2? -1 Evaluate 8 - (3 - 6 - -13). -2 -3 + 2 - (-5 + 1) 3 What is 9 - (-12 - -11 - -11)? -1 Evaluate -1 + -9 + 4 - -2. -4 Calculate -6 + -5 + 6 + 12. 7 What is (-4 - -9) + 1 - 11? -5 What is the value of 6 - (10 - -5 - 4) - 0? -5 10 + -10 - (0 - 3) 3 Calculate -4 + -9 + 4 - -4. -5 Evaluate 2 + 13 + -1 + -9. 5 What is the value of -2 - (4 + -15 + 5)? 4 -1 + 2 - (6 + -4 + -4) 3 Calculate -3 - (-3 + 4 + (-7 - 1)). 4 Calculate 2 - 1 - 0 - (21 + -15). -5 What is -6 - 0 - (-5 - (-7 - -3))? -5 What is the value of -5 + (1 + 3 - -1 - 0)? 0 What is the value of (1 - 0) + (-15 - -18)? 4 What is -5 + (3 - (-6 - (1 + 3)))? 8 What is 10 + (5 + -13 - -5)? 7 -6 - -4 - (13 - 13) -2 Evaluate -2 - -1 - (-35 - -31). 3 Evaluate (1 - 2) + -4 + 6. 1 What is the value of 2 - (-2 + 13 + -3 + -2)? -4 What is (-4 - -6) + (-2 - -3 - 1)? 2 What is the value of -12 + -5 + 15 + (2 - -2)? 2 Calculate -10 + 1 + 5 - -4. 0 What is -6 + -9 + 17 + -4? -2 Evaluate -1 - (11 + -14) - -1. 3 Evaluate 3 - (-8 - (-14 + 6)) - -6. 9 Evaluate 4 + (-4 - (-2 - -8)). -6 Evaluate 0 - 6 - -8 - 4. -2 Evaluate -3 - (0 + -3) - (6 - 7). 1 What is 0 + 5 + (5 + -4 - 6)? 0 What is -25 + 20 + (6 - 1)? 0 Evaluate -1 - (-2 - -5) - -2 - -3. 1 Calculate (7 - 2) + -2 - (3 - 4). 4 Calculate 2 - (1 + 3 + -7 + 5). 0 0 + 0 + (3 - (1 - 2)) 4 What is -3 - (-4 + 2) - (-7 + 7)? -1 Calculate 3 - (1 + -3 + 3) - 3. -1 Calculate -1 - (1 - 7 - -1). 4 What is the value of 3 + (6 + -9 - -2) - 5? -3 3 + 2 + -2 + -7 -4 7 - (4 + -9 - -9) 3 What is 10 - (-2 + 5 + 1) - 2? 4 What is 3 + (-1 - 1) + 0 - 3? -2 What is the value of (7 - 0) + 7 + -13? 1 Calculate -10 + (15 - 13) + (7 - 1). -2 Calculate (-5 + -2 - 3) + -6 - -8. -8 Calculate (-10 + 1 - -4) + 1. -4 3 - (1 - (-2 - (-6 + 3))) 3 What is -5 + 0 + (-4 - -3) - -5? -1 Calculate (1 - 2) + -8 + 11 + 0. 2 Evaluate 6 + (-4 - -1) + -6. -3 Evaluate -7 + (-3 - (-13 + 10)). -7 What is (-4 - -4) + 0 + (0 - -4)? 4 Calculate 1 + -4 + (6 - 4) + -4. -5 What is -3 + 5 + -3 - (-2 + 2)? -1 What is -6 - (0 + -8 + -2)? 4 What is 3 + -1 + (-9 + -2 - -4)? -5 What is 0 - (5 - 1) - 1? -5 What is the value of (-5 - (0 + 1)) + 9? 3 What is the value of -79 + 76 + (7 - 1)? 3 Evaluate (-13 - -1) + 10 + -4 + 0. -6 3 - (7 + (2 - 6)) 0 Evaluate -1 + (6 - (-6 + 6)). 5 What is 5 + -3 - (0 + 2)? 0 Calculate -2 + -1 + -7 + 15. 5 Evaluate 3 - (7 + (-2 - -1 - 3)). 0 Calculate 4 + (0 - 8) + -2 + 1. -5 What is (-11 - (-2 - 10)) + 7 + -2? 6 Calculate 10 - (2 + 4) - 6. -2 Evaluate -2 + (0 - 1) + -4 + 6. -1 Calculate 6 + 0 + -4 + (-3 - -5). 4 3 + (1 - (-1 - (2 - 3))) 4 What is 2 + (1 - 11) + 5? -3 Calculate 13 + (-6 - (5 - -5)). -3 Evaluate 3 + 1 + (-3 - 5). -4 (1 - 1) + (-9 - (-15 + 10)) -4 -9 + 9 + -9 + 0 -9 What is -4 + -14 + 8 + 15? 5 Evaluate (-3 - (-1 + 1)) + 5 + 1. 3 Evaluate (11 - 10) + -1 + -1 + 0. -1 What is -4 + 0 + 6 + (0 - -1)? 3 What is -1 + 4 - (6 + 4)? -7 What is the value of 24 + -11 + (-7 - 1)? 5 0 + 2 - 5 - 2 -5 (-3 - -6 - 7) + 9 5 What is the value of 3 - (-19 + 14 - -12)? -4 -12 + -5 + 9 - (2 + -6) -4 Calculate 7 + (7 - (3 + (0 - 0))). 11 What is the value of (1 - -1) + -2 + (6 - 4)? 2 Evaluate -3 + (-3 - -8 - (-10 + 13)). -1 What is the value of (-4 - -1 - 4) + (-23 - -30)? 0 Calculate -2 + -3 + (1 + -3 - -3). -4 What is 3 + -6 - (-2 - -4)? -5 1 + (-2 - (3 + -2 + -2)) 0 Evaluate -8 - (-2 + 3 + -4). -5 Calculate -12 + 7 - 3 - -8. 0 What is -6 + 8 - (0 + -1)? 3 Calculate 13 + -17 - (-1 - -1). -4 Evaluate 1 + (-8 + 0 - 2). -9 Calculate -33 + 26 - (0 + -2). -5 What is 1 + 1 + (-
{ "pile_set_name": "DM Mathematics" }
1314896337. 3, 29, 5037917 What are the prime factors of 31618188? 2, 3, 7, 1549 What are the prime factors of 55153103? 23, 2397961 What are the prime factors of 2319064638? 2, 3, 11, 3541, 9923 What are the prime factors of 75217778? 2, 37608889 What are the prime factors of 1459105646? 2, 19, 2963, 12959 What are the prime factors of 266800696? 2, 29, 79, 14557 What are the prime factors of 12591928? 2, 971, 1621 List the prime factors of 124208226. 2, 3, 229, 30133 List the prime factors of 550504388. 2, 7, 73, 269327 What are the prime factors of 1552115440? 2, 5, 23, 31, 27211 What are the prime factors of 789104795? 5, 181, 419, 2081 What are the prime factors of 890762419? 373, 2388103 List the prime factors of 232273889. 2003, 115963 What are the prime factors of 851811447? 3, 37, 7673977 List the prime factors of 2582622. 2, 3, 7, 103, 199 List the prime factors of 1150903234. 2, 13, 503, 88003 List the prime factors of 41326026. 2, 3, 7, 19, 51787 List the prime factors of 3466697927. 7, 11, 45022051 List the prime factors of 1065592115. 5, 7, 30445489 List the prime factors of 1890814552. 2, 11, 37, 580717 List the prime factors of 3162487608. 2, 3, 7, 113, 55529 What are the prime factors of 26825790? 2, 3, 5, 894193 List the prime factors of 492489272. 2, 11, 19, 294551 What are the prime factors of 5129165607? 3, 1709721869 What are the prime factors of 6416187? 3, 313, 6833 List the prime factors of 79678908. 2, 3, 37, 41, 1459 List the prime factors of 409927584. 2, 3, 11, 19, 20431 What are the prime factors of 1303063048? 2, 7, 997, 23339 What are the prime factors of 10047753? 3, 103, 3613 What are the prime factors of 97334906? 2, 1429, 34057 What are the prime factors of 55808597? 13, 1487, 2887 List the prime factors of 4430596301. 19, 67, 3480437 What are the prime factors of 1082421698? 2, 61, 8872309 What are the prime factors of 38000306? 2, 19000153 What are the prime factors of 940769098? 2, 229, 439, 4679 What are the prime factors of 64127550? 2, 3, 5, 427517 What are the prime factors of 4750659494? 2, 7, 733, 462937 List the prime factors of 2001454813. 19, 105339727 What are the prime factors of 190128814? 2, 29, 3278083 List the prime factors of 3417320196. 2, 3, 94925561 List the prime factors of 6036782658. 2, 3, 10289, 97787 List the prime factors of 450786653. 67, 293, 22963 List the prime factors of 5691808640. 2, 5, 7, 181499 What are the prime factors of 147462548? 2, 36865637 List the prime factors of 7562531574. 2, 3, 13, 10772837 List the prime factors of 2366451477. 3, 13, 307, 21961 List the prime factors of 96294350. 2, 5, 37, 52051 What are the prime factors of 54675017? 41, 1333537 What are the prime factors of 72833468? 2, 18208367 List the prime factors of 59358786. 2, 3, 9893131 List the prime factors of 311891940. 2, 3, 5, 439, 3947 List the prime factors of 184078339. 3001, 61339 List the prime factors of 643643517. 3, 11, 1103, 17683 List the prime factors of 51413268. 2, 3, 4284439 List the prime factors of 1570313. 277, 5669 List the prime factors of 543900730. 2, 5, 54390073 What are the prime factors of 6817954037? 59, 1453, 79531 What are the prime factors of 46749173? 46749173 List the prime factors of 284295326. 2, 7, 109, 186301 What are the prime factors of 2632940867? 2632940867 List the prime factors of 7989568. 2, 31, 4027 What are the prime factors of 4133317561? 4133317561 What are the prime factors of 5755767377? 5755767377 What are the prime factors of 2750628055? 5, 7, 78589373 List the prime factors of 1653042. 2, 3, 137, 2011 What are the prime factors of 39824244? 2, 3, 368743 List the prime factors of 147919972. 2, 31, 1192903 List the prime factors of 238573146. 2, 3, 7, 239, 23767 List the prime factors of 623854323. 3, 23, 31, 191, 509 List the prime factors of 6975133681. 19, 293, 1252943 What are the prime factors of 4295996368? 2, 19, 31, 607, 751 What are the prime factors of 35776476? 2, 3, 587, 1693 What are the prime factors of 230180056? 2, 47, 612181 List the prime factors of 586841461. 743, 797, 991 What are the prime factors of 133040189? 31, 4291619 What are the prime factors of 23302861? 43, 541927 What are the prime factors of 160465401? 3, 149, 39887 List the prime factors of 171977954. 2, 85988977 What are the prime factors of 494899505? 5, 98979901 What are the prime factors of 603633807? 3, 7, 17, 197, 2861 List the prime factors of 35848083. 3, 307, 38923 List the prime factors of 1731074954. 2, 7, 47, 1361, 1933 What are the prime factors of 655044433? 6553, 99961 What are the prime factors of 435577520? 2, 5, 7, 777817 List the prime factors of 161274053. 17, 1741, 5449 What are the prime factors of 65814606? 2, 3, 11, 13, 947 List the prime factors of 471159227. 7, 11, 977, 6263 What are the prime factors of 578797537? 578797537 List the prime factors of 178147810. 2, 5, 17814781 List the prime factors of 83165139. 3, 17, 43, 12641 List the prime factors of 336643956. 2, 3, 11, 757, 1123 List the prime factors of 29533942. 2, 19, 777209 List the prime factors of 1151691672. 2, 3, 47987153 What are the prime factors of 1671428506? 2, 11, 75974023 What are the prime factors of 43107039? 3, 293, 5449 What are the prime factors of 1359862514? 2, 679931257 What are the prime factors of 51042468? 2, 3, 71, 139, 431 List the prime factors of 3716313857. 67, 73, 659, 1153 List the prime factors of 336142217. 23, 617, 23687 What are the prime factors of 172214273? 7, 11, 283, 1129 What are the prime factors of 74292858? 2, 3, 4127381 What are the prime factors of 33823645? 5, 6764729 List the prime factors of 68981706. 2, 3, 425813 What are the prime factors of 177556050? 2, 3, 5, 7, 6263 List the prime factors of 1605782902. 2, 802891451 List the prime factors of 8880520003. 43, 277, 745573 What are the prime factors of 1383181256? 2, 172897657 List the prime factors of 62233250. 2, 5, 89, 2797 List the prime factors of 4502594980. 2, 5, 13, 17317673 What are the prime factors of 40698632? 2, 13, 89, 4397 What are the prime factors of 5148808392? 2, 3, 7, 13, 191, 12343 What are the prime factors of 15951609? 3, 1772401 List the prime factors of 201418551. 3, 71, 383, 823 List the prime factors of 716018286. 2, 3, 119336381 List the prime factors of 419543650. 2, 5, 8390873 List the prime factors of 31297857. 3, 10432619 List the prime factors of 4933749200. 2, 5, 31, 163, 2441 List the prime factors of 552082501. 23, 24003587 What are the prime factors of 45782702? 2, 7, 43, 59, 1289 List the prime factors of 717818521. 7, 102545503 What are the prime factors of 5185635901? 487, 10648123 What are the prime factors of 2443602623? 7, 11, 863, 3343 List the prime factors of 1289188247. 19, 181, 229, 1637 What are the prime factors of 299654916? 2, 3, 11, 2270113 What are the prime factors of 1548249626? 2, 7, 11, 41, 245209 List the prime factors of 2424570622. 2, 23, 71, 223, 3329 What are the prime factors of 13951655? 5, 2790331 What are the prime factors of 322115985? 3, 5, 7158133 What are the prime factors of 66234895? 5, 53, 249943 What are the prime factors of 43442163? 3, 536323 What are the prime factors of 260631095? 5, 2333, 22343 List the prime factors of 189553816. 2, 23694227 List the prime factors of 56886281. 157, 362333 List the prime factors of 1008375550. 2, 5, 7, 13, 221621 What are the prime factors of 534297623? 353, 1513591 List the prime factors of 497909373. 3, 13, 12766907 List the prime factors of 299539401. 3, 7, 59, 34537 What are the prime factors of 6829258389? 3, 2276419463 List the prime factors of 720726103. 720726103 List the prime factors of 13150232. 2, 1643779 What are the prime factors of 57622411? 7, 11, 748343 What are the prime factors of 1256214963? 3, 19, 22038859 What are the prime factors of 49641850? 2, 5, 31, 32027 List the prime factors of 3812490361. 613, 911, 6827 What are the prime factors of 52194985? 5, 131, 79687 List the prime factors of 978776947. 37, 787, 33613 What are the prime factors of 95200226? 2, 11, 4327283 What are the prime factors of 32149272? 2, 3, 271, 4943 List the prime factors of 116263647. 3, 4306061 List the prime factors of 184516694. 2, 593, 155579 List the prime factor
{ "pile_set_name": "DM Mathematics" }
-27 Divide -4002 by -1334. 3 Divide -2313 by 771. -3 What is -453 divided by -453? 1 Divide 492 by 6. 82 Calculate 589 divided by 1. 589 What is -1 divided by 6? -1/6 Calculate 16 divided by -7. -16/7 What is 761 divided by -7? -761/7 -135 divided by 27 -5 Calculate 11994 divided by 6. 1999 Calculate 1153 divided by 1. 1153 Divide -290 by 20. -29/2 -755 divided by 5 -151 Calculate -3 divided by 945. -1/315 2664 divided by 4 666 Divide -287 by 7. -41 What is 70 divided by 35? 2 What is -3 divided by -1694? 3/1694 6204 divided by 22 282 Divide 1650 by 1. 1650 Divide -22820 by 4564. -5 Divide 13790 by -2758. -5 Calculate 17 divided by 853. 17/853 Divide 4 by 196. 1/49 Calculate -1 divided by 84. -1/84 What is 1 divided by 67? 1/67 1581 divided by -5 -1581/5 Divide -275 by -55. 5 What is 30 divided by -3? -10 Divide 5 by -1381. -5/1381 What is -690 divided by 690? -1 What is -10 divided by -103? 10/103 1 divided by 7130 1/7130 What is -446 divided by -223? 2 Calculate 2610 divided by 145. 18 What is 1890 divided by 105? 18 Divide 5 by 294. 5/294 Divide 502 by -502. -1 Calculate -7401 divided by 5. -7401/5 -28 divided by 2 -14 Divide 16138 by -2. -8069 362 divided by -4 -181/2 214 divided by -214 -1 Divide -107 by 36. -107/36 Divide -2 by 212. -1/106 Calculate 1516 divided by 4. 379 What is 11429 divided by 5? 11429/5 Divide -8 by 47. -8/47 Calculate -1694 divided by -4. 847/2 Calculate 32 divided by 4. 8 What is 15 divided by -6? -5/2 What is 146 divided by -4? -73/2 Divide 9505 by -5. -1901 What is 9 divided by -3? -3 Divide -646 by 323. -2 Calculate -1 divided by 342. -1/342 22225 divided by -1 -22225 What is 412 divided by -1? -412 Divide -96 by 7. -96/7 What is 11360 divided by -5? -2272 Calculate -260 divided by 20. -13 232 divided by -29 -8 Calculate -150 divided by -47. 150/47 Divide -443 by -2. 443/2 Calculate 3 divided by -1990. -3/1990 What is 4 divided by -500? -1/125 What is 1164 divided by 4? 291 What is -36 divided by -9? 4 Divide 300 by 5. 60 Calculate 532 divided by -2. -266 What is 71 divided by 9? 71/9 Divide -73 by 4. -73/4 What is -3 divided by 24? -1/8 What is 388 divided by 30? 194/15 Divide -3680 by -1840. 2 Divide 0 by 317. 0 What is 3712 divided by 4? 928 Calculate -1020 divided by -2. 510 Calculate -55 divided by -45. 11/9 Divide -1 by -2143. 1/2143 Divide -4 by 465. -4/465 496 divided by -16 -31 What is -198 divided by -22? 9 Divide 4280 by -2140. -2 -2152 divided by 538 -4 What is -21 divided by -147? 1/7 Calculate 1 divided by -884. -1/884 Calculate 312 divided by 4. 78 Divide -1 by 31. -1/31 -10754 divided by 2 -5377 -780 divided by 39 -20 -200 divided by 50 -4 Divide 5 by -1180. -1/236 Calculate 2324 divided by -7. -332 Divide 4 by 2183. 4/2183 Divide 1992 by -996. -2 Calculate 648 divided by -18. -36 What is -11382 divided by -3? 3794 What is -2 divided by 13? -2/13 -1050 divided by -25 42 What is 744 divided by 3? 248 Divide 401 by 4. 401/4 Calculate 8068 divided by 4. 2017 Divide 14 by 7. 2 1160 divided by -2 -580 61 divided by 6 61/6 1940 divided by -485 -4 What is -1312 divided by -2? 656 Divide -53 by 53. -1 Divide 225 by 45. 5 Calculate -479 divided by 1. -479 -4467 divided by 1489 -3 What is -221 divided by -17? 13 Calculate 13880 divided by -2776. -5 Divide 1 by 38. 1/38 -1 divided by 1187 -1/1187 42 divided by -4 -21/2 -15333 divided by -5111 3 4 divided by 4655 4/4655 -540 divided by 5 -108 Divide 0 by 86. 0 What is -18 divided by -48? 3/8 -627 divided by 209 -3 What is -60 divided by 69? -20/23 -6790 divided by -1358 5 328 divided by -41 -8 Calculate 4 divided by 92. 1/23 What is 47 divided by 2? 47/2 Calculate 342 divided by 3. 114 What is -98 divided by -7? 14 What is -1255 divided by -251? 5 Divide -1083 by -57. 19 Calculate -480 divided by 480. -1 What is 4900 divided by -70? -70 What is -1572 divided by 393? -4 Divide -2 by 172. -1/86 22332 divided by -3 -7444 Divide 2862 by 6. 477 Calculate -2 divided by -47. 2/47 What is 236 divided by -59? -4 Divide -6 by -6. 1 5497 divided by -23 -239 -81 divided by 5 -81/5 Divide 40 by 3. 40/3 Calculate -64 divided by -125. 64/125 Calculate 7000 divided by 1400. 5 Calculate 1341 divided by -3. -447 Divide 0 by -1181. 0 Divide -20 by 12. -5/3 -46 divided by 2 -23 What is 0 divided by -21? 0 Calculate 2356 divided by -62. -38 4744 divided by 4 1186 What is 72 divided by 3? 24 What is 144 divided by -2? -72 -1930 divided by 5 -386 Divide -888 by -6. 148 -10 divided by -52 5/26 What is -19732 divided by -4933? 4 Divide -2028 by 676. -3 What is -8548 divided by -4274? 2 What is 3 divided by 15? 1/5 What is -1 divided by -5481? 1/5481 -10 divided by 89 -10/89 18 divided by 310 9/155 Divide 1120 by -70. -16 Calculate -3930 divided by -3. 1310 Calculate -2898 divided by 18. -161 -822 divided by 11 -822/11 What is -4753 divided by -7? 679 What is -5 divided by 45? -1/9 Divide 700 by 20. 35 18741 divided by -3 -6247 What is 219 divided by 8? 219/8 Calculate -99 divided by -1. 99 What is 1629 divided by 3? 543 Divide -4 by -403. 4/403 -294 divided by 42 -7 What is -622 divided by -1? 622 Divide -37 by -61. 37/61 Divide -44 by 2. -22 Divide 8120 by 4. 2030 4962 divided by 4 2481/2 What is 258 divided by -43? -6 5 divided by -539 -5/539 Calculate -184 divided by 2. -92 Calculate 544 divided by -272. -2 Divide 507 by -5. -507/5 What is -45 divided by 4? -45/4 What is -8960 divided by -14? 640 7010 divided by 1402 5 Divide -5 by 1160. -1/232 Calculate -21 divided by 4. -21/4 -29 divided by -973 29/973 Calculate 648 divided by 1. 648 Divide -1764 by -28. 63 What is 588 divided by -6? -98 What is 203 divided by 14? 29/2 Calculate -509 divided by -1. 509 What is -17 divided by -3? 17/3 Calculate 12520 divided by -3130. -4 Calculate 77480 divided by -4. -19370 Divide -172 by -87. 172/87 Calculate -2541 divided by -363. 7 What is 390 divided by -6? -65 Divide 1 by -90. -1/90 Calculate -20 divided by 20. -1 Calculate -495 divided by 165. -3 8880 divided by -2220 -4 -1 divided by 5 -1/5 What is -1320 divided by -44? 30 Divide -5 by 35. -1/7 Calculate 2021 divided by 4. 2021/4 -1028 divided by 1028 -1 -465 divided by 23 -465/23 What is 160 divided by 10? 16 What is 680 divided by -1? -680 Divide -57 by -2. 57/2 Divide 8073 by -351. -23 Divide 102 by 6. 17 Calculate -1 divided by 64. -1/64 Divide 0 by -6159. 0 Calculate -1 divided by 190. -1/190 What is 3 divided by -370? -3/370 Calculate 585 divided by -5. -117 What is 17 divided by 2? 17/2 Calculate -720 divided by 9. -80 What is 481 divided by -13? -37 Divide 616 by -308. -2 Calculate 1 divided by -634. -1/634 Divide 15 by -4. -15/4 Divide 27 by -205. -27/205 What is -2 divided by -306? 1/153 -6 divided by 411 -2/137 What is 170 divided by -1? -170 -48 divided by 3 -16 What is 894 divided by 4? 447/2 What is -7776 divided by -1? 7776 Divide -3 by -2080. 3/2080 Calculate 126 divided by 42. 3 What is 31 divided by 2? 31/2 Calculate 2 divided by 207. 2/207 What is 3 divided by -121? -3/121 1 divided by 1652 1/1652 Calculate -114 divided by -66. 19/11 95 divided by 231 95/231 Divide 3965 by 6. 3965/6 What is 26973 divided by -2997? -9 Divide 3168 by 22. 144 Calculate 5995 divided by 545. 11 20 divided by -5 -4 -3 divided by -1055 3/1055 740 divided by 3 740/3 Divide -1 by -18. 1/18 Divide -102 by 3. -34 Calculate -16275 divided by -3. 5425 -82 divided by -2 41 Calculate -25 divided by 32. -25/32 -118 divided by -39 118/39 2888 divided by 2888 1 3 divided by -633 -1/211 Divide 120 by 3. 40 Divide -392 by 98. -4 Divide -3072 by -1. 3072 1 divided by 33 1/33 Divide -772 by -193. 4 Calculate 513 divided by -1. -513 -79 divided by -1 79 Divide 944 by 472. 2 21520 divided by 4304 5 Calculate 98 divided by 1. 98 What is 12 divided by -1132? -3/283 -45 divided by -1 45 5 divided by 6 5/6 34854 divided by -6 -5809 What is -6646 divided by -6? 3323/3 -423 divided by 4 -423/4 0 divided by 380 0 200 divided by -40 -5 Divide -340 by 85. -4 Calculate 50 divided by 2. 25 -138 divided by 7 -138/7 What is 2757 divided by -3? -919 Calculate 347 divided by 5. 347/5 What is -3978 divided by 13? -306 Calculate -2786 divided by 1393. -2 Calculate 36 divided by -8. -9/2 -2 divided by 58 -1/29 Calculate -147 divided by -7. 21 4 divided by 956 1/239 -4018
{ "pile_set_name": "DM Mathematics" }
- 28, -4*u + 28 = -3*t. Suppose l = 5*h - 22, l = u*h - 2*h - 7. Solve -2*z + 5 - l = 0 for z. 1 Let c(x) = 14*x**2. Let y be c(-1). Suppose 5*a + 5*d + 15 = 0, 5 + y = 2*a - 3*d. Solve -4*l = -2*l - a for l. 1 Let n be 3/(-2)*2/3. Let b(q) = -2*q**3 + 2*q**2 + q. Let r be b(n). Solve 3*v = -12 - r for v. -5 Let i(q) = q - 2. Let d be i(6). Suppose 4*s = -0*o - 3*o + 4, 4*s - d = 4*o. Suppose -s + 17 = 2*t. Solve 7 = -5*v - t for v. -3 Let a = -9 - -14. Suppose -a*f + 13 = -2. Suppose 3*n = 1 + 17. Solve n - f = g for g. 3 Suppose -d + 3*d = 4. Solve 0 = 4*m - 6 + d for m. 1 Let m(g) = -2*g**2 + 2*g - 5*g**3 + 6*g**3 - g**2. Let f be m(2). Solve b = -f*b - 4 for b. -4 Let c(r) = r**3 + 6*r**2 + 5*r - 3. Let p be c(-5). Let i be p/5 - (-159)/15. Let g = -1 + 6. Solve -g*z - i = 15 for z. -5 Let z be -1*2*(-1)/1. Suppose b - z = 2. Suppose 2*u + 6 = j + u, 3*u = -b*j + 10. Solve -j*k + 9*k = -5 for k. -1 Suppose -d - d = 0. Suppose 6 + d = 3*w. Solve -14 = 4*v - w for v. -3 Let c = 3 + 10. Let f = c + -9. Solve 2*p = p - f for p. -4 Suppose -15*n + 11*n = -12. Solve n*k - k = -8 for k. -4 Let q(s) = 4*s**2 - 3*s - 1. Let f be q(-1). Solve g = f*g - 20 for g. 4 Let o = 0 + 4. Let a be 5*-6*(-3)/30. Let t be (-22)/(-3) - a/9. Solve -d - t = -o for d. -3 Let t = 9 + -5. Solve t*b - 6 = 6 for b. 3 Let w = -5 - -9. Suppose -4*u = 4*b, -w*b = -3*u + u. Solve u = -2*q + 6 - 2 for q. 2 Suppose 2*l = -0*i - i + 1, 0 = 4*i - 4*l - 4. Solve -i = -n - 3 for n. -2 Let f(t) = t**2 - 7*t. Let k be 0/((-2)/1) + 4. Suppose l = 4*m + k*l - 22, 4*l - 6 = -2*m. Let z be f(m). Solve z = 5*n - n - 8 for n. 2 Let k = 6 + -5. Suppose -3*h + 2*z - 5 + k = 0, -3*z + 23 = 4*h. Solve -4*u + 10 = -h*u for u. 5 Suppose -3*d + 0*d - 30 = 0. Let y = 10 + d. Suppose i - 2 + y = 0. Solve -3*a - 4 = i for a. -2 Let c(m) = -m**3 + 7*m**2 - m - 8. Let k be c(6). Solve 5*w = k + 3 for w. 5 Let l be 8/(-18)*(-27)/6. Solve -s + 3 = l for s. 1 Let m be -4*(2 + -3)*1. Solve -5 = m*y - 1 for y. -1 Let h(u) = 3*u. Let n be h(-3). Let b = -2 - n. Let f = 6 - 3. Solve f*w - 20 = b*w for w. -5 Let x(s) be the third derivative of s**4/24 - s**3 - 2*s**2. Let m be x(6). Solve -3*a + m + 3 = 0 for a. 1 Let h = 3 + -1. Suppose -5*z + 4*z + h = 0. Solve -z = -a - a for a. 1 Suppose -3*a - 16 + 4 = 0. Let t be a/18 + 152/36. Solve 0 = -5*v + t + 16 for v. 4 Let b(h) = h**2 - 6*h - 6. Let s = 44 - 25. Suppose -4 = -a, 12 = 5*k - a - s. Let c be b(k). Solve 5*z - c = 4*z for z. 1 Suppose 0 = -4*c + 34 - 18. Solve c*d + 30 = 10 for d. -5 Let p(u) be the second derivative of -u**3/6 + u**2 - u. Let x be p(0). Let l be (-74)/(-14) - 4/14. Solve -x - 3 = l*k for k. -1 Suppose 2*v + 4 = 3*v. Suppose 0 = 5*j + v*k - 6, -4*j + 3*k + 5 = -3*j. Solve -3*f - j*f = -10 for f. 2 Let h(b) = 2*b - 15. Let x be h(8). Solve -1 = 2*y + x for y. -1 Let y(o) = -5*o - 13. Let h(w) = -w - 1. Suppose -3*d + 3 = -15. Let n(l) = d*h(l) - y(l). Let g be n(-5). Solve 2*t = -2*t - g for t. -3 Let t(d) = -d**2 + 10*d - 6. Let s be t(9). Suppose i + s*i + 8 = 0. Let m be 2 - (-2 + i + -2). Solve 3*x = x - m for x. -4 Let p = -18 - -23. Let n = -33 + 74. Suppose 0 = -5*u + 2*v - 11 + n, 2*u - 2*v - 12 = 0. Solve p*y + 9 + u = 0 for y. -3 Let q = -17 - -28. Let b(l) = l**2 + 13*l + 21. Let f be b(-12). Solve -f = -5*i + q for i. 4 Let u(c) = c - 8. Suppose 2*z - 6 = z. Let x be u(z). Let m be (1 - -1 - 0) + x. Solve 6 = -2*d - m for d. -3 Let b be (15 - -5) + (1 - 1). Suppose r - b = 4*j, -6*r + r + 2*j = -28. Solve -g = r*g for g. 0 Let s be (-28)/6*(-15)/10. Suppose -5*g + 13 = -s. Solve g*j = j + 3 for j. 1 Suppose -8*y + 6*y + 28 = 2*a, 8 = 4*a. Solve -3*f + 9*f = -y for f. -2 Suppose a - 5*x = 16, 3*a - a = -4*x + 32. Let z = a + -11. Solve -z*v + 28 - 3 = 0 for v. 5 Let m = 10 + -8. Solve -z = -m*z for z. 0 Suppose -2*j + 8 = -j - 2*p, j + 7 = -3*p. Suppose -8 = -3*f - j. Solve -2 = -f*u + 8 for u. 5 Let r be 0/((3 - 0)/(-3)). Suppose -2*c = -r*c - 12. Solve -2*d - c + 2 = 0 for d. -2 Let m = 16 - 9. Let n be m/(-9) - 8/36. Let f be 0/(n + 2 - -1). Solve f = t - 3 + 1 for t. 2 Let z = -6 + 11. Let c(h) = 4*h - 10. Let l(a) = -2*a**3 - 3*a**2 - 2*a - 3. Let y be l(-2). Let s be c(y). Solve z*j + s = -15 for j. -5 Let f = -16 + 10. Let x be (f/(-4))/(12/32). Solve -4*z = x - 0 for z. -1 Suppose 8*r - 20 = 3*r. Let d(f) = -f + 5. Let t be d(r). Solve -t = k - 2 for k. 1 Let w(b) = 6*b - 64. Let g be w(12). Let q(s) = -s**3 + s**2 + s + 1. Let o be q(-1). Solve -o*j + 0*j = -g for j. 4 Let y be (1 + -2)/(-1 + 2). Let q = y - 14. Let s be 4*q/(-6)*2. Solve s = -2*u - 2*u for u. -5 Let d be (-4)/(-2)*1 + -1. Solve -3*f = 4 - d for f. -1 Suppose 4*b - 2*y + 0*y = 10, -2*b - 5*y + 23 = 0. Solve -3*f = -b*f - 2 for f. -2 Suppose 10*g - 5*g - 30 = 0. Solve g*s = 2*s for s. 0 Suppose 11 = 2*f + f + 5*s, 5*f - 45 = -3*s. Suppose 3*j - 4 + 1 = 3*m, -3*m - 2*j = -17. Solve 3*k + m - f = 0 for k. 3 Let x be (-6)/15 + (-8)/(-20). Suppose x = -6*g + 21 - 3. Solve 0 = -g*a - 5 + 2 for a. -1 Let k = -40 + 40. Solve k = 2*t + 2 + 4 for t. -3 Suppose -42 = -2*w - 10. Solve -t + 5*t = w for t. 4 Let y = 17 + -10. Solve 2*b = 1 - y for b. -3 Suppose -1 = -q + 2. Solve q*u = 2*u - 5 for u. -5 Let f = 20 - 14. Suppose -3*b = -f*b + 15. Solve 0*j = 5*j - b for j. 1 Suppose 0*v - 20 = -5*v. Suppose -1 = l - v. Let b = 7 - 2. Solve -l*h - b = 2*h for h. -1 Let o(t) be the second derivative of t**4/12 + t**2/2 + t. Let b be o(2). Suppose b*g = 4*g + 3. Solve 2 - 5 = g*c for c. -1 Let y = 13 + -10. Solve 0 = -y*c + 4*c - 4 for c. 4 Suppose -5*w + 6*w + g = 6, -4*w - 5*g = -24. Suppose w*o = o + 5. Let s(l) = 17*l**3 + l**2. Let t be s(o). Solve -4*k = t - 6 for k. -3 Let a(f) = -f**3 + 9*f**2 + 2*f - 15. Let g be a(9). Solve g*k - 7 + 19 = 0 for k. -4 Let u be 2 - (2 + -2)/4. Solve 0 = u*l - 4*l - 2 for l. -1 Suppose -4*g = -6*g + 70. Let r = g + -15. Solve 9*h + r = 4*h for h. -4 Let b be (-4)/((24/(-9))/(-4)). Let l = b - -11. Let o(r) = -r**2 + 4*r + 7. Let u be o(l). Solve 0 = -5*j + u*j - 9 for j. -3 Let z(n) = 2*n**3 - 4*n**2 + n + 3. Let w be z(2). Suppose 0 = -2*t + 5*t + 9, q + w*t + 3 = 0. Solve 2*p + p = q for p. 4 Let g(m) = -10*m - 5. Let u be g(-4). Suppose 4*s = 5*i - u, -3*i + 4*i = -2*s + 7. Let p be (-2)/i + 2/7. Solve 5*t - 2 - 3 = p for t. 1 Let l(z) = -z**3 + 2*z**2 + 4*z + 2. Let o be l(-2). Solve -o = -4*k - k for k. 2 Let h = -23 - -26. Solve -c = -h*c + 6 for c. 3 Suppose -3*x = -4 - 11. Let q be 20/(-5) - (-3 - 1). Suppose -3*i = -8*i - s + 25, q = 3*i + x*s - 37. Solve v = -i*v for v. 0 Let t be 28/210 + (-148)/(-15). Solve 0 = -5*d - 0 - t for d. -2 Let o = -26 + 16. Let u be 16/10 - 4/o. Solve -u*i - 3*i = 0 for i. 0 Let l(w) = -w - 6. Let y be l(-7). Let f(k) = -k**3 - 2*k**2 + 12*k + 16. Let u be f(-4). Solve z - y + 4 = u for z. -3 Let x(m) = m**3 - 5*m**2 + m - 2. Let y be x(5). Suppose -5 + 20 = 5*h. Suppose -h - 3 = 2*g, 0 = -y*j - g. Solve n = -0 + j for n. 1 Suppose 0 = 5*c - 8 - 12. Solve g - 2*g = c for g. -4 Let b(n) = n**3 - 10*n**2 + n - 3. Let t be b(10). Let v = t + -5. Solve -v*z - 3 = -5*z for z. 1 Let c(t) = -t + 8. Let v(r) = r**3 - 4*r**2 + 4*r + 1. Let o be v(3). Let d be c(o). Let l = 179 - 159. Solve 0*b - l = d*b for b. -5 Let j(n) = n**2 + n. Let p be j(0). Suppose p = 5*v - 2 - 3, 2*u - 2*v = 22. Solve 0 = -2*m + 5*m - u for m. 4 Suppose -1 = -3*o - 3*f - f, 3*o - 11 = -2*f. Let b(i) = 5 - o - 2*i + 2. Let l be b(-1). Solve -4*c - l = 10 for c. -3 Let m(b) = -b + 1. Let t be m(-1). Let v(d) = 4*d**2 + 5*d + d**t + 1 - 4*d**2. Let y be v(-5). Solve 14 = 3*q - y for q. 5 Let a(b) = -b. Let p(u) = 7*u + 12. Let c(h) = -6*a(h) - p(h). Let k be c(-12). Suppose 4*z = 5 + 27. Solve g + g + z = k for g. -4 Suppose 0 = 4*a - x - 16, -3*a = 4*x - 5*x - 13. Suppose 0*y - a*y + k = -3, -y + 4*k + 12 = 0. Solve y - 4 = -2*b for b. 2 Let j(t) = t**3 - 2*t**2 - t - 4. Let n be j(3). Let r = 9 - 7. Let u(s) = -s**3 + 3*s**2 - 3*s + 2. Let g be u(r). Solve 5*l - n - 23 = g for l. 5 Suppose 4*s + 2*u = 46, 0 = -4*s + u + 33 + 22. Let n be 6/9*(s + 2). Solve 4*h = -n + 30 for h. 5 Let m(u) = 32*u**2 - 3*u - 5. Let h be m(-4). Let c be (-2)/(-5) - h/(-15). Let v be c/3 - (-2)/6. Solve -k + v = 2*k for k. 4 Let q(
{ "pile_set_name": "DM Mathematics" }
t to 5 dps. -0.00008 Let o = -0.040399318 - -0.0404. Round o to 7 dps. 0.0000007 Let i = -8.9 + 8.90135. What is i rounded to four decimal places? 0.0014 Let r = -37 - -37. What is r rounded to six dps? 0 Let q be 8188/(-16) + 6/(-24). Round q to the nearest 10. -510 Let u = 99 - 98.9999983. What is u rounded to 6 dps? 0.000002 Let p = -826469 - -516469. What is p rounded to the nearest 100000? -300000 Suppose 0 = -2*x - 3*j + 11343 - 511349, 4*j + 500008 = -2*x. Round x to the nearest one hundred thousand. -300000 Let f be ((-9)/(-4))/(3/8). Let a(c) = 33*c + 6. Let p be a(f). Suppose 3*q + p = -0*q. What is q rounded to the nearest ten? -70 Let q(h) = h**2 + 2*h - 3. Let m(w) = 2*w**2 + w + 1. Let c be m(-1). Let f be q(c). Let k be (-1080009)/15 - (-3)/f. What is k rounded to the nearest 10000? -70000 Let d = -0.1765 - -0.3184. Let f = d - 0.151. Round f to three decimal places. -0.009 Let m = -4.2 + 4. Let a = 12.2 + m. Let c = -16.6 + a. What is c rounded to the nearest integer? -5 Let h(d) = 5*d + 17. Let n(b) = 2*b + 6. Let z(v) = -3*h(v) + 8*n(v). Let l be z(4). Let m be 8/(-8) + l*7. What is m rounded to the nearest integer? 6 Let l = 57.68 + 1.32. Let w = -59.27 + l. What is w rounded to one dp? -0.3 Suppose 0 = 2*a - 7*a - 20, -1041016 = 3*n + 4*a. Round n to the nearest 100000. -300000 Let z(c) = c**3 - 9*c**2 + 7*c + 8. Let v be z(8). What is v rounded to the nearest 100? 0 Let r(q) = 2*q + 5. Let p be r(-6). Round p to the nearest 10. -10 Suppose -281672 - 523328 = 5*w. Round w to the nearest 10000. -160000 Suppose -4*n + 0*i = i - 1049, 2*n - 532 = -2*i. Round n to the nearest 10. 260 Let y = 146.87 + 1.13. Let j = y + -147.99999879. What is j rounded to seven decimal places? 0.0000012 Let r = -17 - -15.7. Let n = 17.3 + -4.8. Let w = n + r. Round w to 0 decimal places. 11 Let g = 534 + -280. What is g rounded to the nearest ten? 250 Let o = -399.8091219 + 397.96913. Let m = -1.84 - o. Round m to 6 decimal places. -0.000008 Let l be (1404800/(-15))/(-8)*375. What is l rounded to the nearest 1000000? 4000000 Let t(l) = 46*l**3 - 7*l**2 - 18*l - 5. Let r be t(-7). Round r to the nearest ten thousand. -20000 Let c(g) = -g**2 + 11*g + 12. Let s be c(12). Suppose z + 3*z - 492 = s. Round z to the nearest 10. 120 Let c = 3.4832 - 3.5. Round c to 3 dps. -0.017 Let g = 1.478 + -0.088. Round g to 1 decimal place. 1.4 Let k = 60 - 60.00041. What is k rounded to four decimal places? -0.0004 Suppose -b - 1152 = -4*l - 0*b, -2*b + 875 = 3*l. Suppose -5*q = -2*r - 355, r = 4*r - 5*q + 525. Let t = l + r. Round t to the nearest 10. 120 Suppose -4*k + 38 = r, -5*k - 74 = -2*r + 67. Round r to the nearest ten. 60 Let i(u) = u**3 - u**2 - 1. Let j(d) = 9*d**3 - 22*d**2 - 10*d + 10. Let o(t) = 5*i(t) - j(t). Let z be o(13). Round z to the nearest 1000. -6000 Let g = 0.1746 + 12.5154. Let i = 3.5 - -8.6. Let t = g - i. Round t to 1 dp. 0.6 Let s = -2 + 1. Let j(f) = -2*f - 2*f - f**2 - 1 + 0*f**2 - 7200*f**3 + 2*f. Let q be j(s). What is q rounded to the nearest 1000? 7000 Let i = -0.93 - 0.35. Let v = 1.221 + i. Round v to 2 dps. -0.06 Let j(g) be the third derivative of 1525*g**6/3 + g**5/60 - g**3/6 - g**2. Let h be j(1). Round h to the nearest 10000. 60000 Let y = 42026 - 42014.0044. Let n = -13.6 + 1.6. Let c = n + y. Round c to 3 decimal places. -0.004 Let h = -81954 + 35354. What is h rounded to the nearest 1000? -47000 Let v = -21.995 + -0.005. Let a = -3112.28 + 3134.2777. Let o = a + v. Round o to three decimal places. -0.002 Let f(j) = 124492*j**2 + 17*j + 11. Let q be f(-7). What is q rounded to the nearest one million? 6000000 Suppose 1 = i - 4. Suppose -2*t - 14994 = i*b - 0*t, -3*b - 5*t - 8985 = 0. Round b to the nearest ten thousand. 0 Let y = 9172547735.99999949 + -9172547685. Let w = -0.13 - 50.87. Let f = y + w. What is f rounded to 7 dps? -0.0000005 Let m = 23 - 12. Let j = -10.993 + m. What is j rounded to 2 decimal places? 0.01 Let w = -606.0189 - -0.0189. Let d = -605.95988 - w. Let s = 0.04 - d. What is s rounded to four dps? -0.0001 Let s = -103824471 - -103824479.8999899. Let u = -8.9 + s. What is u rounded to 6 dps? -0.00001 Suppose u - 2 = -0*u, 0 = 4*o - u - 10. Let w = 4 - o. Let b be w*(6/3 - -368). What is b rounded to the nearest one hundred? 400 Let n = -453 - -2. Let h be -1*(3 + -7) - 225. Let b = h - n. Round b to the nearest one hundred. 200 Let w = 0.2 - 0.08. Let o = w - 0.42. Round o to 1 dp. -0.3 Let a = 0 - -0.5. Let w = 1.6 - a. Let h = -1.099989 + w. What is h rounded to five dps? 0.00001 Let f = -2914235.4000035 + 2914236. Let x = -1 - -1.6. Let q = f - x. What is q rounded to six decimal places? -0.000004 Let z(n) = 14 - 3 - 4 + 118*n - 1. Let j be z(3). What is j rounded to the nearest one hundred? 400 Let f = 3.12 + -2.2. Let c = f - 0.45. Let u = c - 0.88. What is u rounded to one decimal place? -0.4 Let s = 19 - 19.043. Let j = -32.092 + 32. Let l = j - s. Round l to two decimal places. -0.05 Let y = 56 + -39. Suppose -14*u + y*u + 60000 = 0. What is u rounded to the nearest one hundred thousand? 0 Suppose 3*n - 3 = 15. Suppose 0 = -r - 73 + n. What is r rounded to the nearest 10? -70 Let c be (1 - (-2)/(-4))*4. Let q be 2/(-2) - -13000003 - c. Suppose -5*y - 3*x = -0*y + q, 0 = -x. What is y rounded to the nearest one million? -3000000 Let m = 379 - 1669. Round m to the nearest 100. -1300 Let z(v) = -642501*v - 4. Let n be z(-4). What is n rounded to the nearest 100000? 2600000 Suppose 2*g - 8600000 = -0*g. What is g rounded to the nearest 1000000? 4000000 Let i be 3 + (4 - 60*7) + 0. What is i rounded to the nearest 10? -410 Suppose -100 - 2280 = 7*o. Round o to the nearest one hundred. -300 Let o = 0.067 - 0.0345. Round o to 3 decimal places. 0.033 Let f(t) = 2*t**3 - 10*t**2 + 8*t + 5. Let k be f(7). Let g = k + -501. Let m = g - -173. Round m to the nearest 10. -70 Let q(a) = -1014287*a + 18. Let g be q(14). What is g rounded to the nearest one million? -14000000 Let z = 1893 - 1891.987. Let s = 0.037 + z. Round s to one dp. 1.1 Suppose -3*s = -6*s - 2*k + 2, -s = -3*k - 8. Suppose 3*x - 5*v - 299985 = 0, s*x - 2*v - v = 199991. Round x to the nearest one hundred thousand. 100000 Let y = -0.29 + 0.254. Round y to two decimal places. -0.04 Let z(y) = -131260*y + 1. Let s(w) = 2*w + 9. Let i be s(-6). Let n be z(i). Suppose n + 476219 = h. Round h to the nearest 100000. 900000 Let r = -37 + -71. Let x = -104.9952 - r. Let p = -3 + x. Round p to 3 decimal places. 0.005 Let o = 5 + 3.05. Let l = o + -8. Let m = l - 0.048. What is m rounded to 3 decimal places? 0.002 Let a = -8.3 - 25.7. Let p = 34.062 + a. Round p to 2 dps. 0.06 Let a = 0.045 - 0.0223. Round a to 3 decimal places. 0.023 Let u = -0.2 - -0.2. Let y = 0.05 - u. Let v = y - 0.05001. What is v rounded to 5 dps? -0.00001 Suppose -5*r - 497613 = -97613. What is r rounded to the nearest 10000? -80000 Suppose 0*x - 10 = -5*x. Suppose -2*s + 74 = 2*y, x*s = -3*s - y + 169. Suppose 5*j + 7 = -s. What is j rounded to zero dps? -8 Let n = 10 + -10.036. Round n to 2 decimal places. -0.04 Let d be (3/(-6))/1*0. Suppose d = -i - 3*i - 2960. What is i rounded to the nearest one hundred? -700 Let x = 26874 - -72126. Round x to the nearest 10000. 100000 Let c = -12542 - -60442. Round c to the nearest ten thousand. 50000 Let z = 6334.667 + -6341. Let c = 6.3 + z. What is c rounded to 2 decimal places? -0.03 Suppose -7 = -2*l + c, 5*l + 2*c - 18 = 4. Let x be (14681/(-2))/((-2)/l). Suppose 8319 = -p - x. Round p to the nearest 10000. -20000 Let k = -7.202 + 0.002. What is k rounded to the nearest integer? -7 Let t = -1351.06 + 1289.959. Let i = -61 - t. Let a = i - 0.1009953. Round a to 6 dps. 0.000005 Suppose 0 = 4*p - 2*j - 2*j - 16, -5*j - 12 = -3*p. Suppose 4*z - 136 = -4*r, z - 3*r = p + 34. Round z to the nearest 10. 40 Let r = 398004.80383 + -3.80383. Let i = r - 398001.240011. Let s = i - -0.24. What is s rounded to 5 decimal places? -0.00001 Let g(n) = -31*n + 15. Let a be g(5). Round a to the nearest 100. -100 Let c(h) = -80001*h**3 + h**2 + 3*h - 2. Let g be c(2). What is g rounded to the nearest 100000? -600000 Let f = 7 + -4. Suppose -f*r = -r - 72000. Round r to the nearest ten thousand. 40000 Let p be (1/(-2))/(2/(-24)). Let n =
{ "pile_set_name": "DM Mathematics" }
v be (-150)/45*12/(-10). Suppose -213 = -a + v*i, -i = 2*a + 2*i - 426. Is a prime? False Suppose -5*c + 2530 + 1155 = 0. Is c a composite number? True Suppose 2*y + 90 = 4*h, -99 = -y + 3*y - h. Let x(u) = -9*u**3 + 4*u**2 + 2*u - 2. Let f be x(-2). Let m = f + y. Is m a composite number? False Let n be 57*(4/2 + -1). Let g = n + -31. Is g a prime number? False Let b be (-9)/(-2)*(-6)/(-9). Suppose -v - 228 = -b*v. Suppose 2*j = v + 40. Is j prime? False Let q be (-2)/5 - 34/(-10). Suppose 0 = q*w - 15 + 3. Is w/2*13/2 composite? False Suppose -2*w = -3*d + 104, 2*d - 79 = -3*w + 12. Suppose -4*a - h + 8 = 75, 0 = -2*a - 2*h - d. Is (-195)/(-4) - 4/a composite? True Let f(w) = w**3 + 8*w**2 + 6*w + 4. Let l be f(-5). Suppose -3*j = -8*j - 5*x + 225, 5*x - l = -j. Suppose j = -5*a + 9*a. Is a a composite number? False Let c(p) = 6*p**2 - p - 6. Let g be ((-2)/(-1) - 3)*-4. Let i = g - 9. Is c(i) prime? True Let p = 2179 - 1002. Is p a prime number? False Let y(p) be the third derivative of -5*p**4/24 + p**3/6 - 2*p**2. Let b be y(1). Let u = b + 7. Is u composite? False Suppose 4*s = -12, 2*v = s - 2*s - 13. Let m be (-2)/(-5) - (-42)/v. Let r(p) = -p**3 - 7*p**2 - 5*p - 7. Is r(m) a prime number? True Suppose -2*m + 586 + 358 = -2*r, -5*r = 15. Is m composite? True Let z(g) = g**3 + 10*g**2 - 14*g - 27. Is z(-8) a prime number? False Suppose 0 = f + 2*f - 111. Is f prime? True Is (-591 - -4)*6/(-6) a composite number? False Let l be 1/((-1)/7 + 0). Let q = 1 + 14. Let w = q - l. Is w composite? True Suppose -4*v = -0*v - 2524. Is v composite? False Suppose 0*v - 2*v + 1969 = 3*s, v = s - 648. Is s composite? False Suppose 5*j = 10*j - 23455. Is j prime? True Is 1/((-4)/16) + 1073 a prime number? True Suppose 0*p + 5*p - 1025 = 2*g, -2*p = 2*g - 396. Is p a prime number? False Let s be (-4)/(-20) - (-14)/5. Suppose 4*f + 340 = s*r + 90, -5*f - 87 = -r. Suppose 5*p = 333 + r. Is p composite? False Suppose 0*a - 12 = 2*a. Is (-5)/15 + (-1556)/a a composite number? True Suppose 4*x + 0*d - 11 = 5*d, -8 = -x - 4*d. Suppose 6 + 6 = x*n. Suppose -t - 4*t = -n*q - 101, 2*t = -2*q + 34. Is t a prime number? True Let x = -13 + 14. Suppose 3*f = o - 141 + x, 3*o + 2*f - 387 = 0. Is o a prime number? True Suppose 5*j + j = 942. Is j prime? True Suppose -x = -64 - 162. Is x a prime number? False Let i(b) = 2*b + 6. Let a be i(-6). Let v = a + 23. Let p = v + 6. Is p a composite number? False Is 682 - (5/(-5) - -4) a prime number? False Let q(a) = -a**2 + 8*a - 6. Let m be q(7). Let t(i) = -3*i + 3*i + 3*i**2 + i + m. Is t(4) a prime number? True Let d = 1 - -2. Suppose -4*j - d*x + 412 = 0, -6*x + x = -5*j + 550. Is j composite? True Suppose -20 = 5*r, 2*n + 3*r + 0*r = 234. Let o(g) = 27*g - 9. Let a be o(7). Let t = a - n. Is t prime? False Let t(a) = 3*a + 10. Let y be t(-9). Let l = y + -1. Is ((-228)/l)/(1/3) a composite number? True Suppose 0 = -3*f + 4*x + 59 + 16, -2*f = 5*x - 73. Suppose 3*w - 1 = f. Let p = w + -4. Is p a prime number? False Suppose -2*n = -4*n + 10. Let c(r) = -r + r**2 - n*r + 5 + 5*r. Is c(6) a prime number? False Suppose -15 - 9 = -4*b. Is (5 - b)/((-2)/230) a composite number? True Let p(i) = -7*i**3 - i**2 - i + 1. Let l(t) = 6*t**3 - 2. Let w(f) = 4*l(f) + 3*p(f). Is w(4) prime? True Suppose 4*k - 3 = -15. Is ((-3)/k)/((-2)/(-166)) a prime number? True Suppose 846 = 4*o - 3*t, -401 - 242 = -3*o - 2*t. Is o a composite number? True Suppose -2*o + 36 = -4*o. Let s be 12/o*(-18)/4. Suppose 3*t - 181 = 5*w - 9, -s*w - 64 = -t. Is t prime? False Suppose -3*h = c - 108 - 37, -3*h + 160 = -2*c. Let z = h + 9. Is z a prime number? True Suppose g + 7 + 1 = 0. Let s be g/(-12) + 1/3. Is (s + (-6)/(-4))*6 prime? False Suppose 0 = 5*f - 0*f - 15. Suppose v = 4*l - 18, 4*l - l - 9 = f*v. Suppose 0 = -v*z + 220 + 414. Is z prime? True Suppose 25 = -5*y, 3*r + 6*y - y = 92. Suppose -6*c - 103 = -4*j - 3*c, -c + r = 2*j. Is j a prime number? False Let v = 660 + -367. Is v composite? False Let k be -84*((-3)/6 - 1). Suppose 4*v - 5*c = 248, -2*v = 2*c - 4*c - k. Is v a composite number? False Let j = 417 - 238. Is j a prime number? True Suppose 10 + 26 = -3*p. Suppose -82 = 4*s - 538. Is (8/p)/((-4)/s) composite? False Suppose -10 = -s + 2*k, 3*k - 14 = s + 7*k. Suppose -80 = -s*b - 2*b. Is (-2)/5 + 1588/b a composite number? False Let t = -1546 + 3367. Is t a prime number? False Let f = 104 - 69. Is f a composite number? True Let i(z) be the third derivative of z**4/4 + z**3/2 - z**2. Let j be i(5). Suppose -3*b = 4*x - 42, -2*x + 23 = 5*b - j. Is b prime? False Is ((-2)/2)/(3/(-6141)) prime? False Suppose -3*h + 2*h = -97. Let b(i) = i**3 - 11*i**2 - 14*i - 4. Let c be b(13). Let n = c - h. Is n prime? False Suppose 3*m + 9293 = 5*n + 4*m, -2*m = 4*n - 7438. Is n a prime number? False Suppose -9 = -2*i + 1. Suppose -744 = -i*r + 1861. Is r a composite number? False Is (-171)/(-4) - (-7)/28 a composite number? False Let c(t) = t**3 + 17*t**2 + 3*t + 3. Is c(-16) a composite number? False Let c be 3 - (-5 + -1)/3. Suppose -421 = -c*j + 4*b, j + 7*b = 3*b + 89. Is j composite? True Let z = -2 + 18. Let l = 85 - 52. Let y = l + z. Is y a prime number? False Let y(m) = -11*m + 2. Suppose -5*p + 7 + 18 = 0. Suppose 5*u + 17 = q + p, 0 = 2*q + 5*u + 21. Is y(q) composite? True Let k = 20 - -9. Let g = 8 - k. Is (-14)/g*(-9)/(-2) a prime number? True Let v(y) = y - 2. Let l be v(6). Suppose -4*p = -3*p - l. Suppose -5*z + 78 = p*n - 55, n + 4*z = 25. Is n composite? False Let o(v) = 232*v**2 - v. Is o(-1) a prime number? True Let m = 175 - 108. Is m a prime number? True Let x(r) = 623*r - 22. Is x(9) composite? True Let j = 1600 + -779. Is j a prime number? True Let p = 18 - 28. Is (-124)/p*5/1 prime? False Let m = -172 - -300. Suppose -2*f + 116 = 2*x - m, 3*f + 5*x - 356 = 0. Is f a prime number? True Let g = 34 + -80. Let t = 165 + g. Is t a prime number? False Let y be -1 + 3*12/9. Let x be 12 + 6/y*1. Suppose -h = 2*o - 25, -5*o - x = -3*h + 28. Is h prime? True Let a(m) = m**3 + 9*m**2 + 6*m - 6. Let p be a(-8). Let n = 6 + -2. Is (p/6)/(n/84) prime? False Is (-1)/((-887)/443 - -2) composite? False Let q(a) = 11*a**2 - a - 11. Is q(6) prime? True Suppose 5 = z + 2. Suppose 4*f = z*j - 12 - 2, -3*j = 3*f - 21. Suppose -111 = -j*v + 3*v. Is v composite? False Suppose 0 = 4*h - 8, 3*b - 5*h = 911. Is b a prime number? True Let j(v) = -v**3 + 7*v**2 + 8*v + 4. Suppose 0*c = c - 8. Let z be j(c). Suppose -z*r = -30 - 94. Is r a prime number? True Suppose 1086 = 5*m - 1984. Suppose -5*w + m = 2*v, -v = 2*v + 4*w - 935. Is v composite? False Let a = 433 - 275. Suppose -q - q - 4*i = -a, 4*q - 381 = 5*i. Is q a composite number? False Let x(u) = 16*u**2 - u + 3. Let m(d) = -31*d**2 + 3*d - 6. Let g(j) = -3*m(j) - 5*x(j). Suppose 3*q + 2*s - 15 + 1 = 0, -18 = -3*q - 3*s. Is g(q) composite? False Is (5/(-20)*-28)/((-2)/(-386)) a prime number? False Let a = 158 - -33. Is a composite? False Suppose 0*g - 60 = -4*g. Let r be -2 - -2 - 3 - 3. Is (g/r)/1*-22 a composite number? True Let r(j) = -2*j - 5. Let i be r(-9). Let l(h) = 10*h + 19. Is l(i) prime? True Suppose 0 = -4*q + 12, 0 = h + 4*q - 13 + 3. Is 29/((-2)/(5*h)) prime? False Suppose -5*f = y - 3*f + 3, 4*y + 4*f - 4 = 0. Suppose 4*d = -d + y. Suppose 2*q = 13 + d. Is q a composite number? False Suppose -4*h - h + 5 = 3*b, 3*b + 2*h = -7. Let f(o) = -o**3 + 4*o**2 + 4*o + 6. Is f(b) a composite number? False Let b(q) = 25*q**2 + 7*q - 13. Is b(3) a composite number? False Let a(v) be the third derivative of v**6/40 - 2*v**5/15 + 7*v**4/24 - 7*v**3/6 + 4*v**2. Is a(6) composite? True Let w(j) be the first derivative of j**2/2 - j - 1. Let s be w(1). Suppose s = -2*t - y + 99, -2*y - 191 = -4*t + 3*y. Is t a prime number? False Let c = -3425 + 5226. Is c prime? True Suppose -3*c - 3*k - 1128 = -4*k, -3*c = 5*k + 1128. Let w = c - -567. Is w composite? False Let n = -3 - 3. Let i be (-2)/3 - 34/n. Suppose 285 = i*w - 160. Is w a prime number? True Let j(u) = u**3 - 3*u**2 - 4*u - 8. Is j(5) a composite number? True Suppose 2*c - 8 = 0, -x + c + 93 = -94. Is x a prime number? True Suppose -4*x + 4270 = -1174. Is x a composite number? False Suppose 0 = v - q - 98, -8*q + 171 = 2*v - 5*q. Suppo
{ "pile_set_name": "DM Mathematics" }
-1)/((-4 - (-132)/32)*-1). 7 Suppose 0 = -5*l - 4*w + 2, -3 - 1 = l + 3*w. What is the remainder when (-4 + 3)/(l/(-58)) is divided by -3 + 2 + -2 + (20 - 1)? 13 What is the remainder when (14670/135)/(1 + 1/(-3)) is divided by 55? 53 Let z = -5 + 8. Suppose -2*w - 28 = -2*u - z*w, 0 = 3*w. Suppose -h - h + 52 = 0. Calculate the remainder when h is divided by u. 12 Suppose -3*m - 503 = 4*p - 0*m, -4*m - 386 = 3*p. Let v = p - -219. Suppose 23 = 5*d - v. What is the remainder when d is divided by 9? 6 Suppose 2*b + 2*r - 5*r + 11 = 0, 2*b - 19 = -3*r. What is the remainder when 15 is divided by b*(2 - -2 - 2)? 3 Let g(c) = -c**3 + 5*c**2 - c + 1. Let a be g(5). What is the remainder when 39 is divided by (a/5)/(24/(-420))? 11 Let d(j) = -j**3 + 7*j**2 - 3*j + 5. Suppose 0 = z - 2*v - 26, 3*v + 59 = 3*z - 34. Let u = z - 24. Calculate the remainder when d(6) is divided by u. 11 Suppose 0 = 2*r - 10 - 8. Let s be (-1 - (-6)/4)*4. Calculate the remainder when ((-10)/(-8))/(s/56) is divided by r. 8 Suppose h - 5*h + 28 = 0. What is the remainder when 25 is divided by h? 4 Let y be (70/21)/(4/6). Suppose -y*q + 3*q + 208 = 3*a, -5*q + 511 = 3*a. What is the remainder when q is divided by 26? 23 Let o = -6 + 10. What is the remainder when 7 is divided by o? 3 Let f be -4*(-38)/(-4) - -1. Let c = -20 - f. What is the remainder when c is divided by ((-18)/4)/(-2*(-3)/(-12))? 8 Let z(y) be the third derivative of -y**5/60 - y**4/4 - y**3 + 2*y**2. Let g be z(-5). What is the remainder when g*(-15 - (-2)/(-1)) is divided by 10? 7 Let z(l) = l**3 - 8*l**2 - 5*l - 7. Calculate the remainder when z(9) is divided by 8. 5 Let z = -29 - -39. Let o(d) = -19*d - 1. Let h(j) = -j - 5. Let f be h(-4). Calculate the remainder when o(f) is divided by z. 8 Let c = 1 - -40. Calculate the remainder when c is divided by 21. 20 Let i = 96 - 89. Calculate the remainder when 31 is divided by i. 3 Let j(p) = -p**3 - 4*p**2 - 6*p - 7. Let i be j(-6). Suppose 3*v = 5*s - i, -4*s = 4*v - 74 + 6. What is the remainder when 55 is divided by s? 17 Suppose -2*t = 6, -2*z + 3*t = 6*t - 3. Let w = z - 13. Let x = w + 56. Calculate the remainder when x is divided by 17. 15 Let u = 27 + 28. Let z = u - -150. Suppose m = 6*m - z. What is the remainder when m is divided by 11? 8 Let u be (5 - 2)/6*4. Suppose -36 = -4*o + 3*l - 9, -25 = -5*o + u*l. Calculate the remainder when o is divided by 2. 1 Let m(n) = n**3 + 8*n**2 - 3*n. Let t be m(-8). Suppose -5*b + 22 = 2*h - t, -4*h = -2*b - 68. What is the remainder when 52 is divided by h? 16 Let h(i) be the first derivative of i**3/3 + 7*i**2/2 - 19*i + 2. What is the remainder when 20 is divided by h(-10)? 9 Let r(f) = -3*f**3 - 3*f**2 - f - 2. Let g be (2/4)/((-1)/6). Let a(k) = 2*k + 7. What is the remainder when r(g) is divided by a(6)? 17 Let t = 0 - 2. What is the remainder when t - (-4)/((-8)/(-166)) is divided by 28? 25 Let b(f) = f**2 - 10*f - 9. Let v = -2 + 10. Calculate the remainder when b(-3) is divided by v. 6 Suppose c - 17 = 1. Let l be 1*1*(36 - -3). Suppose -11 = -5*g + l. What is the remainder when c is divided by g? 8 Calculate the remainder when 53 is divided by ((-2)/(-6)*2)/((-21)/(-567)). 17 Let m = -30 - -32. Suppose -3*y = y - 4. Suppose -3*x + 27 = -m*h, -x - 2*h + 2 = y. Calculate the remainder when 12 is divided by x. 5 Let h = 17 - 29. Let s = -8 - h. Suppose 14 + 26 = s*m. Calculate the remainder when 19 is divided by m. 9 Let s = -141 + 146. What is the remainder when 19 is divided by s? 4 Suppose -p + 7 - 3 = 0. Suppose q + p*i - 13 - 3 = 0, -2*q + 2*i + 82 = 0. Calculate the remainder when q is divided by 19. 17 Let w = 9 - 8. Let g be (w + -2 - -1)/1. Suppose g = 5*m - 33 + 3. Calculate the remainder when 10 is divided by m. 4 Let j be (-1)/(-3) + 68/12. Suppose 5*q = 3*q + j. Suppose q*r = 2*r + 35. Calculate the remainder when r is divided by 9. 8 Let b(y) = -y**3 - 7*y**2 + 6. What is the remainder when b(-7) is divided by 2? 0 Let c(t) = 5*t + 39. Suppose 13 = 6*v - 5*v. Calculate the remainder when v is divided by c(-7). 1 Let k = -5 + 3. Calculate the remainder when (0 - -2)/((-1)/k) is divided by 2. 0 Let r = 0 - 0. Suppose c + c - 152 = r. Calculate the remainder when c is divided by 26. 24 Suppose -2*z + 18 = -4. Calculate the remainder when 53 is divided by z. 9 Suppose 4*b - 8 = 3*v + 20, v = 0. Calculate the remainder when 11 is divided by b. 4 Let b(g) = -g**2 - 5*g + 2. Let a(s) = -s**3 + 4*s**2 + 5*s - 5. Let f be a(5). Let p be b(f). Calculate the remainder when 2 is divided by p/(-5) + 7/5. 0 Let u = -28 + 12. Let f = 2 - u. What is the remainder when 34 is divided by f? 16 Let f(t) = -t**2 + 18*t + 36. Calculate the remainder when f(15) is divided by 14. 11 Let p = 195 - 127. Let v = 29 + -6. What is the remainder when p is divided by v? 22 Suppose -d + 3*q + 2*q = -19, 5 = d + 2*q. Let f be 1*2/(4/(-18)). Calculate the remainder when (78/f)/(2/(-6)) is divided by d. 8 Let y be -75*(0 + (-8)/20). Suppose 5*d = -2*z - 2*z + y, -z + d + 3 = 0. What is the remainder when 14 is divided by z? 4 Let m(g) = -g + 1. Let w be m(3). What is the remainder when 8 is divided by 1 - -1*(0 - w)? 2 Let s(x) = 7 - 6*x + 3*x - 7*x - 3. Calculate the remainder when s(-5) is divided by 19. 16 Let c = -129 + 79. Let m = 14 - c. What is the remainder when m is divided by 22? 20 Suppose -5*h + 5*w + 940 = 0, 11 + 5 = 4*w. What is the remainder when h is divided by 39? 36 Let d(c) = c - 5. Let u be d(0). Let f = u - -22. Suppose 0 = s - 2 - 4. What is the remainder when f is divided by s? 5 Let m = -1 - -6. Let b(o) = -3*o - 6. Let p be b(-6). Suppose 3*a + 15 = 4*w, 5*w = -2*a + p + 1. Calculate the remainder when m is divided by w. 2 Suppose 11 = 4*n + 31, 5*d = -2*n + 105. What is the remainder when 44 is divided by d? 21 Suppose 0 = -4*k + b + 239, -9*b + 127 = 2*k - 12*b. Calculate the remainder when 115 is divided by k. 56 Let p(y) = y**3 - 6*y**2 - 7*y + 7. Let u be p(7). Suppose -4*o + u = -4*b - 5, o - 11 = -b. What is the remainder when 19 is divided by o? 5 Let z(i) = 3*i**2 + i + 5. Let r(a) = -2*a**3 + 2*a**2 - 3*a - 3. Calculate the remainder when z(-6) is divided by r(-2). 26 Let n be 1/(4/(-7))*-4. Let w = 14 - n. Calculate the remainder when 19 is divided by w. 5 Suppose -4*d + 7*d = 3*h - 789, 0 = 5*h - 4*d - 1310. Calculate the remainder when 7/35 - h/(-10) is divided by 1*-1 - -1*15. 12 Suppose 6*r - 6 = 3*r. Calculate the remainder when r is divided by 2/(-10) + 44/20. 0 Let k = 20 + -10. What is the remainder when (6/4)/((-6)/(-108)) is divided by k? 7 Let h(j) = -2*j - 1. Let l(m) = m. Let k(r) = -6*h(r) - 13*l(r). What is the remainder when ((-86)/8)/(1/(-4)) is divided by k(-9)? 13 Let d be (-4)/6*15/(-2). Suppose -61 = -5*g - u + 54, 0 = -u + d. What is the remainder when g is divided by 13? 9 Let d(w) be the third derivative of -w**2 + 1/12*w**4 - 5/6*w**3 + 0 + 0*w. Calculate the remainder when 12 is divided by d(6). 5 Let k(z) = -z**3 + 12*z**2 + 19. What is the remainder when 34 is divided by k(12)? 15 Suppose 4*t - g = 66, 5*t - 4*g = -0*g + 77. Let x be ((-1)/3)/(2/6). Calculate the remainder when t is divided by x*((-2)/(-1) + -11). 8 Let t be (-1)/(-3) + (-64)/(-6). Let j = t + 4. What is the remainder when 28 is divided by j? 13 Let c = 42 + -23. Let u = -4 - -14. What is the remainder when c is divided by u? 9 What is the remainder when 23 is divided by (-1)/(3/(-9)) - -9? 11 What is the remainder when (4/(-10))/(16/(-1160)) is divided by 8? 5 Let g = -32 + 64. Calculate the remainder when g is divided by 11. 10 Let z(f) = -f**3 + 7*f**2 + 7*f + 9. Let w be z(8). Suppose 0 = u + w - 6. What is the remainder when u is divided by 4? 1 Let u = 161 + -136. What is the remainder when 63 is divided by u? 13 Let q(s) = -s**3 + s**2 + s + 3. Let g be q(0). Let y(b) = 4*b + g*b**2 + 8*b**2 - 1 - 2*b**2 - 3*b. Calculate the remainder when 34 is divided by y(1). 7 Suppose -k - 2*h + 6 = 0, h + 2 = 3*k - 2. Suppose -i + 174 = k*i. What is the remainder when i is divided by 15? 13 Suppose 4*l - 44 = -12. Let x(f) = -17*f + 116. Calculate the remainder when x(6) is divided by l. 6 Let x be 2 - (1 - (-1 + -1)). Suppose -5*c + 0 - 5 = 0. What is the remainder when 22*c*(-1 + x) is divi
{ "pile_set_name": "DM Mathematics" }
to milligrams. 618389200 What is 2/125 of a tonne in kilograms? 16 What is eleven quarters of a centimeter in micrometers? 27500 How many years are there in 10.56899 centuries? 1056.899 What is 13/9 of a week in minutes? 14560 How many months are there in five eighths of a century? 750 Convert 5002.27434 minutes to weeks. 0.496257375 How many meters are there in three eighths of a kilometer? 375 What is 27343.89 nanograms in tonnes? 0.00000000002734389 What is 0.4454389 decades in years? 4.454389 How many micrograms are there in five eighths of a milligram? 625 Convert 597994.3 years to millennia. 597.9943 What is 605356.8 centuries in decades? 6053568 What is 754.0935 grams in kilograms? 0.7540935 How many litres are there in 8.237368 millilitres? 0.008237368 Convert 83511.84mm to meters. 83.51184 How many millimeters are there in 1/10 of a centimeter? 1 What is 9.1921 kilometers in meters? 9192.1 How many nanometers are there in fifteen quarters of a micrometer? 3750 Convert 40730.52 nanometers to centimeters. 0.004073052 How many millimeters are there in 245.8183um? 0.2458183 What is 1/100 of a kilometer in millimeters? 10000 How many litres are there in 74.54935 millilitres? 0.07454935 What is 8714.472 litres in millilitres? 8714472 How many nanograms are there in three eighths of a microgram? 375 Convert 27491.25l to millilitres. 27491250 What is 6/5 of a litre in millilitres? 1200 Convert 1.9633kg to nanograms. 1963300000000 What is 24.92545 litres in millilitres? 24925.45 What is 725136.2nm in micrometers? 725.1362 What is 225502.3 litres in millilitres? 225502300 What is 16.82454g in micrograms? 16824540 How many micrograms are there in 67.90184kg? 67901840000 How many years are there in 1/10 of a decade? 1 What is one sixth of a year in months? 2 What is 73.73919 weeks in seconds? 44597462.112 How many nanograms are there in one tenth of a milligram? 100000 What is 84.5586l in millilitres? 84558.6 What is 43/4 of a millimeter in micrometers? 10750 Convert 0.1190373 millilitres to litres. 0.0001190373 Convert 1.256017 millennia to months. 15072.204 What is 21/5 of a millisecond in microseconds? 4200 How many nanometers are there in 23232.74 millimeters? 23232740000 Convert 3.833278 years to months. 45.999336 Convert 667516.5 tonnes to grams. 667516500000 How many millennia are there in 78463.5 decades? 784.635 What is 9/10 of a litre in millilitres? 900 What is 714307.8l in millilitres? 714307800 How many days are there in 2173.02507s? 0.025150753125 What is twenty-one halves of a millimeter in micrometers? 10500 How many millilitres are there in 582.5176 litres? 582517.6 How many years are there in thirteen quarters of a century? 325 How many millilitres are there in 1/5 of a litre? 200 How many millennia are there in 72.47851 centuries? 7.247851 What is 27/4 of a microgram in nanograms? 6750 What is 246929.6l in millilitres? 246929600 What is 34/5 of a millennium in years? 6800 How many micrograms are there in 874559.2g? 874559200000 What is 1/9 of a week in minutes? 1120 Convert 3388.162cm to micrometers. 33881620 How many millilitres are there in 29/5 of a litre? 5800 Convert 431.5797 days to hours. 10357.9128 Convert 8.473385 days to nanoseconds. 732100464000000 How many litres are there in 2844.659 millilitres? 2.844659 Convert 4.170265 decades to months. 500.4318 Convert 881.6214nm to centimeters. 0.00008816214 What is 6/25 of a millennium in decades? 24 What is 15/4 of a millennium in decades? 375 How many milligrams are there in twenty-seven halves of a gram? 13500 What is 15382.191 months in years? 1281.84925 Convert 9.831441 millennia to years. 9831.441 How many millennia are there in 8706.06 years? 8.70606 How many seconds are there in twenty-nine halves of a minute? 870 How many decades are there in 9073.111 centuries? 90731.11 How many millimeters are there in 13/5 of a centimeter? 26 Convert 18.884901 minutes to hours. 0.31474835 What is 0.6541196 milligrams in grams? 0.0006541196 What is 13/5 of a kilometer in meters? 2600 What is 264.9191 micrograms in grams? 0.0002649191 What is 6/25 of a micrometer in nanometers? 240 How many kilometers are there in 728187.3 nanometers? 0.0000007281873 What is 37497.41 tonnes in nanograms? 37497410000000000000 What is seven quarters of a decade in months? 210 How many centimeters are there in seven eighths of a kilometer? 87500 What is 64240.6842 milliseconds in weeks? 0.0001062180625 What is 689721.3l in millilitres? 689721300 Convert 167145.12 minutes to hours. 2785.752 How many micrograms are there in 29/5 of a milligram? 5800 How many hours are there in one sixth of a week? 28 How many micrometers are there in 6/25 of a millimeter? 240 What is nine tenths of a centimeter in micrometers? 9000 What is 41241.29 milliseconds in nanoseconds? 41241290000 What is 1036.664g in milligrams? 1036664 What is 57.38744um in centimeters? 0.005738744 How many micrograms are there in 0.9217344ng? 0.0009217344 What is 21/5 of a litre in millilitres? 4200 How many minutes are there in one tenth of a hour? 6 Convert 69.72801 micrometers to centimeters. 0.006972801 How many centimeters are there in 7981.318 millimeters? 798.1318 Convert 70656.76 millimeters to kilometers. 0.07065676 How many litres are there in 2.653688ml? 0.002653688 How many kilometers are there in 9.368983um? 0.000000009368983 What is 9220.925ml in litres? 9.220925 How many millilitres are there in 6.871941l? 6871.941 How many millilitres are there in fourty-one halves of a litre? 20500 What is 627.0911 millennia in years? 627091.1 How many minutes are there in 9/10 of a hour? 54 What is 21/2 of a decade in years? 105 Convert 8106.312 weeks to microseconds. 4902697497600000 What is 1.294 grams in kilograms? 0.001294 How many milligrams are there in 19/4 of a gram? 4750 How many litres are there in 603967.9 millilitres? 603.9679 Convert 0.7351549 years to decades. 0.07351549 Convert 21.97224 decades to years. 219.7224 How many minutes are there in 8/21 of a week? 3840 Convert 0.9669605 kilometers to nanometers. 966960500000 How many millilitres are there in one quarter of a litre? 250 What is 8.731139 decades in years? 87.31139 What is 1/10 of a kilogram in grams? 100 What is 6/5 of a meter in millimeters? 1200 What is 0.9744648l in millilitres? 974.4648 How many millilitres are there in 0.8167926 litres? 816.7926 What is three tenths of a meter in millimeters? 300 How many years are there in 52.00918 millennia? 52009.18 How many millilitres are there in one twentieth of a litre? 50 What is 5/8 of a kilogram in grams? 625 Convert 1.817469ng to grams. 0.000000001817469 Convert 8598.164 centuries to months. 10317796.8 How many micrograms are there in 801.5555 milligrams? 801555.5 Convert 0.8711484 kilograms to grams. 871.1484 How many centimeters are there in 21/2 of a meter? 1050 How many milligrams are there in sixty-seven quarters of a gram? 16750 What is 1/5 of a decade in months? 24 What is 1/5 of a litre in millilitres? 200 What is 13/5 of a millennium in months? 31200 How many centimeters are there in 64612.29 micrometers? 6.461229 How many years are there in 42273.79 millennia? 42273790 How many millimeters are there in 9/25 of a meter? 360 How many millimeters are there in 0.836488km? 836488 How many kilograms are there in 21/4 of a tonne? 5250 What is 6/25 of a micrometer in nanometers? 240 What is 17100.66 millilitres in litres? 17.10066 How many months are there in 8925.133 years? 107101.596 How many millilitres are there in 8862.141 litres? 8862141 What is three fifths of a century in years? 60 Convert 0.5578704 weeks to hours. 93.7222272 What is 34.30962s in milliseconds? 34309.62 Convert 950.5789 centuries to years. 95057.89 What is five eighths of a century in months? 750 What is 7/16 of a minute in milliseconds? 26250 How many months are there in 1/80 of a millennium? 150 How many grams are there in fourty-six fifths of a kilogram? 9200 What is 1/20 of a milligram in micrograms? 50 What is 21/5 of a century in years? 420 Convert 823.5183 centuries to decades. 8235.183 How many millimeters are there in 71463.99um? 71.46399 What is 34317.59 nanometers in millimeters? 0.03431759 How many nanograms are there in 1/6
{ "pile_set_name": "DM Mathematics" }
What is -24881 (base 11) in base 5? -2120123 -34cd3 (base 16) to base 10 -216275 6a039 (base 12) to base 5 14013431 What is -1001000111110111 (base 3) in base 13? -3114661 5b5b10 (base 15) to base 3 22020011210020 Convert 11100230 (base 4) to base 12. 10578 Convert 210432241 (base 5) to base 9. 1572000 What is 10112120202120 (base 3) in base 11? 1075561 -1330011013 (base 4) to base 5 -112230411 11000011000100000101 (base 2) to base 3 1111120222220 16a8514 (base 11) to base 16 2c2eb9 Convert 370b2 (base 12) to base 11. 50a21 What is -301001322 (base 5) in base 9? -2210210 Convert -105412 (base 8) to base 4. -20230022 What is 74fb8f (base 16) in base 12? 2698813 21351 (base 11) to base 3 1120120100 What is -1004340345 (base 6) in base 9? -21327262 What is 14135205 (base 7) in base 5? 314214332 What is 266176 (base 9) in base 8? 474304 Convert -2314949 (base 10) to base 4. -20311023011 What is 23103aa (base 11) in base 10? 4041399 16063804 (base 9) to base 4 132210133330 What is -535551424 (base 6) in base 5? -4414020104 What is -250636561 (base 7) in base 10? -15757708 What is -347498 (base 13) in base 2? -100101111110010001111 Convert -32385c (base 14) to base 11. -a61414 What is 30eb28 (base 16) in base 14? 5d64ac Convert 111111010001111000 (base 2) to base 5. 31243232 Convert -1371358 (base 11) to base 5. -1100441313 Convert 2041002010 (base 5) to base 8. 20116606 Convert 86946 (base 12) to base 2. 101011010111000110 Convert 20101332313 (base 4) to base 5. 1023431212 What is -54421454 (base 6) in base 8? -6134652 What is -241833 (base 13) in base 12? -355b19 What is -1000011101001011000000 (base 2) in base 7? -24561336 What is -44635624 (base 7) in base 9? -7255247 70368 (base 10) to base 6 1301440 35868 (base 13) to base 5 11114411 What is -50530243 (base 6) in base 3? -2201021210200 What is -28b9d1 (base 15) in base 12? -7a8074 Convert -447768 (base 9) to base 13. -950a8 Convert 13540345 (base 7) to base 14. 250d25 What is -1326124 (base 7) in base 9? -286041 What is -20012021101 (base 3) in base 11? -83687 -69631 (base 11) to base 15 -1ec0a What is -f981 (base 16) in base 12? -30b69 What is 565465 (base 10) in base 13? 16a4c4 -242405004 (base 6) to base 8 -21441074 -31494 (base 14) to base 10 -118906 What is -14403110 (base 6) in base 5? -111421404 What is -10223002122 (base 4) in base 5? -303143413 -30412153 (base 7) to base 6 -130244011 What is -496455 (base 10) in base 9? -836006 Convert a8887 (base 14) to base 10. 407799 Convert -101210121101120 (base 3) to base 2. -10101111001010010110110 130202323 (base 4) to base 13 412b1 Convert -1036613 (base 11) to base 2. -110111101010111010010 330020021 (base 4) to base 11 159042 -21420032 (base 5) to base 7 -1402142 Convert 1000101000010101010 (base 2) to base 11. 183516 What is -385066 (base 11) in base 14? -11b2da -b5933 (base 13) to base 6 -11000331 What is -1544216 (base 11) in base 3? -11222011201110 What is 429488 (base 12) in base 6? 34323052 What is -53adf (base 16) in base 13? -c0016 52c4a (base 16) to base 9 566036 What is -8535724 (base 9) in base 15? -60442a -5610060 (base 8) to base 4 -11301000300 Convert 10011100111010110101 (base 2) to base 14. 12a341 What is 229cc (base 13) in base 5? 4010310 -1111010101101001111 (base 2) to base 7 -4162220 What is 192420 (base 10) in base 9? 322850 1949c0 (base 16) to base 2 110010100100111000000 Convert -1144403 (base 7) to base 2. -100011100011011111 Convert -3853351 (base 9) to base 8. -10011354 What is 311011141 (base 5) in base 13? 354580 Convert 1604540 (base 7) to base 15. 4535b Convert -33031210 (base 5) to base 6. -10023333 What is -11544315 (base 7) in base 10? -1036362 Convert -1364055 (base 7) to base 11. -116181 What is 3312311110 (base 4) in base 11? 630667 What is -2650667 (base 8) in base 5? -142214230 201200111102012 (base 3) to base 16 9fa10c -7633236 (base 10) to base 13 -1773510 -141412 (base 8) to base 13 -1995a -12223 (base 6) to base 5 -24230 Convert 93331 (base 10) to base 3. 11202000201 5b73b (base 12) to base 3 20021202002 100010000111001001110111 (base 2) to base 12 2bb2a73 Convert -137457 (base 12) to base 2. -1001111000011000011 Convert -13210301 (base 5) to base 2. -100000001101101111 41055 (base 10) to base 6 514023 Convert -53446166 (base 7) to base 12. -1634a95 What is 599586 (base 12) in base 8? 5412366 Convert -141c5 (base 15) to base 4. -33300113 -110110100000001001 (base 2) to base 14 -5b4db 291487 (base 12) to base 16 a7a67 1bc26b4 (base 14) to base 15 134c75e What is 132086 (base 9) in base 12? 3a550 -103130023233 (base 4) to base 11 -2970917 Convert d5279 (base 14) to base 11. 320994 What is -1240052 (base 6) in base 8? -203540 -20102230 (base 5) to base 13 -578bb What is 9ab3a (base 15) in base 7? 4116061 Convert 4313700 (base 8) to base 5. 243343320 317024 (base 8) to base 16 19e14 -1577660 (base 8) to base 9 -768155 -5128536 (base 9) to base 13 -74a234 20b8f7 (base 16) to base 11 1235219 What is 1000200222222122 (base 3) in base 4? 320022130322 What is -3323316 (base 7) in base 10? -409359 a78919 (base 13) to base 14 744d16 -3030002212 (base 4) to base 13 -233536 Convert 25733501 (base 8) to base 9. 11731462 Convert 36c234 (base 15) to base 3. 11221020220111 Convert -85848 (base 16) to base 7. -4435266 What is 5c177 (base 14) in base 4? 313000131 Convert -100011011100010101 (base 2) to base 8. -433425 What is -54a0e (base 15) in base 7? -2166635 Convert 28a3 (base 15) to base 2. 10000111111111 -1112112333 (base 4) to base 2 -1010110010110111111 Convert 11101121210101 (base 3) to base 15. 311c0a Convert cb5167 (base 13) to base 16. 48f37e -a93580 (base 14) to base 15 -783b58 25538 (base 14) to base 16 165be What is -313360 (base 9) in base 15? -3a27c What is -11100342333 (base 5) in base 16? -b8f5f9 Convert -10532d (base 15) to base 12. -315774 -6920056 (base 10) to base 16 -699778 -399353 (base 11) to base 9 -1155464 146c7a4 (base 15) to base 13 30a3897 Convert -1202030 (base 5) to base 4. -11121330 301443133 (base 5) to base 6 41441022 Convert 1013013204 (base 6) to base 5. 10141441440 What is -1091419 (base 10) in base 8? -4123533 Convert -3242219 (base 10) to base 14. -6057d1 Convert -1436858 (base 9) to base 14. -168ab9 What is 69c1d (base 14) in base 6? 5304243 Convert 8508370 (base 10) to base 16. 81d3d2 Convert -225d10 (base 16) to base 14. -428a08 10121122122 (base 4) to base 5 243341131 3366b74 (base 12) to base 3 200111222011221 Convert -591a266 (base 11) to base 7. -153564511 Convert -11010101001011011 (base 2) to base 15. -22517 What is 313260 (base 8) in base 3? 12021211000 What is 23835 (base 9) in base 15? 4b0e -120053526 (base 7) to base 3 -111222020102220 Convert 645129 (base 11) to base 4. 3323313331 What is -b552 (base 16) in base 6? -554522 Convert 201414620 (base 7) to base 6. 1055100332 Convert 100111111000110111000110 (base 2) to base 16. 9f8dc6 What is 22b88a (base 13) in base 2? 11001001011111111101 What is -15632005 (base 7) in base 4? -11303032030 Convert -e5f05 (base 16) to base 10. -941829 What is 1324003 (base 6) in base 14? 1ca9d 273fc1 (base 16) to base 2 1001110011111111000001 -dd6a (base 16) to base 9 -85670 573534 (base 9) to base 15 6bcea 113301144 (base 5) to base 13 155070 Convert -4313433211 (base 5) to base 8. -42634525 -3521121 (base 6) to base 8 -542711 -843562 (base 9) to base 2 -1111010011000100100 Convert 35aae1 (base 15) to base 13. 6bb810 3b02a (base 15) to base 16 2e270 What is 260550 (base 8) in base 16? 16168 Convert -330234401 (base 5) to base 14. -28b93a What is -1427ab (base 12) in base 13? -ba149 What is 20bb5b (base 15) in base 5? 344332221 What is -1021002022111 (base 3) in base 16? -a3cbd What is -5c5664 (base 16) in base 4? -113011121210 What is -438cd (base 16) in base 5? -32323220 -434124 (base 7) to base 12 -37aa6 What is 3200231 (base 4) in base 16? 382d What is -355aa6 (base 15) in base 13? -6b3bb9 20264a3 (base 11) to base 15 4ab077 Convert -125c2c8 (base 13) to base 14. -a956d4 Convert 735066 (base 13) to base 12. aa00a3 What is -102022210112202 (base 3) in base 2? -10110111101011111001110 Convert 1a904b (base 15) to base 9. 2384778 Convert -110161232 (base 7) to base 12. -2273045 Convert c1c2 (base 15) to base 7. 230156 What is -4
{ "pile_set_name": "DM Mathematics" }
2 Determine p, given that -p**2/3 - 13*p + 90 = 0. -45, 6 Suppose -a**2 + 702*a - 701 = 0. What is a? 1, 701 Find m, given that -m**4/6 - 5*m**3/6 + m**2/2 + 15*m/2 + 9 = 0. -3, -2, 3 Determine u, given that 2*u**4/7 - 48*u**3/7 + 324*u**2/7 - 352*u/7 - 726/7 = 0. -1, 3, 11 What is b in 5*b**3 - 705*b**2 + 25200*b - 24500 = 0? 1, 70 Factor -4*n**3 + 64*n**2 - 52*n - 120. -4*(n - 15)*(n - 2)*(n + 1) Find v such that -8*v**4/3 - 98*v**3 - 2510*v**2/3 + 1178*v - 722/3 = 0. -19, 1/4, 1 Factor -2*x**4 + 126*x**3 - 2346*x**2 + 5290*x + 146004. -2*(x - 23)**3*(x + 6) Find c, given that -2*c**4/15 + 8*c**3/5 - 14*c**2/5 + 4*c/3 = 0. 0, 1, 10 Factor -x**4 - 199*x**3 + 604*x**2 - 404*x. -x*(x - 2)*(x - 1)*(x + 202) Solve -2*t**2/9 + 34*t/9 = 0 for t. 0, 17 Factor k**2/2 + 37*k/2 + 51. (k + 3)*(k + 34)/2 Factor 3*l**4 + 15*l**3 - 9*l**2 - 51*l - 30. 3*(l - 2)*(l + 1)**2*(l + 5) Determine b, given that 60*b**4/7 - 129*b**3/7 + 12*b**2/7 + 12*b/7 = 0. -1/4, 0, 2/5, 2 Let -m**4/7 + 3*m**3/7 + 2*m**2/7 - 12*m/7 + 8/7 = 0. Calculate m. -2, 1, 2 Factor -2*f**2/11 - 536*f/11 - 35912/11. -2*(f + 134)**2/11 Suppose -2*x**2/13 - 2308*x/13 - 665858/13 = 0. Calculate x. -577 Solve 5*x**4 - 145*x**3 + 690*x**2 = 0 for x. 0, 6, 23 Factor 2*v**2/9 - 1412*v/9 + 249218/9. 2*(v - 353)**2/9 Factor -4*t**2 + 68*t - 288. -4*(t - 9)*(t - 8) Find l such that 2*l**5 - 30*l**4 - 140*l**3 - 220*l**2 - 150*l - 38 = 0. -1, 19 Let -4*m**4/7 + 68*m**3/7 + 80*m**2/7 - 144*m/7 = 0. Calculate m. -2, 0, 1, 18 Factor f**4/7 + 27*f**3/7 + 156*f**2/7 + 332*f/7 + 240/7. (f + 2)**2*(f + 3)*(f + 20)/7 Solve -4*i**2/9 + 28*i/3 = 0 for i. 0, 21 Determine z, given that -2*z**5/9 - 2*z**4/9 + 16*z**3/9 + 16*z**2/9 - 32*z/9 - 32/9 = 0. -2, -1, 2 Factor 3*x**3 - 18*x**2 - 93*x + 108. 3*(x - 9)*(x - 1)*(x + 4) Factor 4*j**3 + 28*j**2 + 48*j. 4*j*(j + 3)*(j + 4) Solve t**3 - 21*t**2 - t + 21 = 0. -1, 1, 21 Factor x**2/8 - 4*x. x*(x - 32)/8 Find v, given that -5*v**4 - 315*v**3 - 1205*v**2 - 1485*v - 590 = 0. -59, -2, -1 Factor 15*j**2/7 - 1326*j/7 + 528/7. 3*(j - 88)*(5*j - 2)/7 Find h such that -3*h**3/4 + 39*h**2/2 + 1725*h/4 - 450 = 0. -15, 1, 40 Let -2*f**3/5 - 58*f**2 + 1492*f/5 - 240 = 0. What is f? -150, 1, 4 Let 2*n**3/5 - 4236*n**2/5 + 2242962*n/5 = 0. What is n? 0, 1059 Factor 3*b**3 - 81*b - 162. 3*(b - 6)*(b + 3)**2 Factor 2*p**2/7 + 4*p/7 - 16/7. 2*(p - 2)*(p + 4)/7 Suppose -w**4 + 1402*w**3 - 492800*w**2 + 980000*w = 0. Calculate w. 0, 2, 700 Factor 3*j**2 - 33168*j + 91676352. 3*(j - 5528)**2 Factor 2*u**3/13 - 396*u**2/13 + 19992*u/13 - 38416/13. 2*(u - 98)**2*(u - 2)/13 Find s such that -3*s**3 + 729*s**2 - 1449*s + 723 = 0. 1, 241 Find r such that 2*r**3 + 14*r**2 - 34*r + 18 = 0. -9, 1 Factor 2*o**5 + 112*o**4 + 1328*o**3 - 6720*o**2 + 7200*o. 2*o*(o - 2)**2*(o + 30)**2 Factor a**5/4 - 3*a**4/2 - 5*a**3/2 + 4*a**2 + 33*a/4 + 7/2. (a - 7)*(a - 2)*(a + 1)**3/4 What is g in 2*g**5/11 + 2*g**4 - 434*g**3/11 - 2974*g**2/11 + 29232*g/11 + 31752/11 = 0? -14, -1, 9 Let 3*s**3/2 + 60*s**2 + 1011*s/2 - 567 = 0. Calculate s. -27, -14, 1 Determine o so that o**4/4 - 21*o**3/4 + 73*o**2/4 - 87*o/4 + 17/2 = 0. 1, 2, 17 Factor -m**3. -m**3 Find f such that 3*f**5/2 + 375*f**4/2 + 177*f**3 - 1122*f**2 - 732*f + 1488 = 0. -124, -2, 1, 2 Factor -21*k**3/5 - 17373*k**2/5 - 4962*k/5. -3*k*(k + 827)*(7*k + 2)/5 Find j such that 16*j**5 - 12*j**4 - 212*j**3 + 348*j**2 - 92*j - 48 = 0. -4, -1/4, 1, 3 Let -y**4 + 30*y**3 - 49*y**2 - 192*y - 112 = 0. What is y? -1, 4, 28 Factor -b**4/3 - 13*b**3 - 25*b**2 - 37*b/3. -b*(b + 1)**2*(b + 37)/3 Factor 1444*a**3 + 38684*a**2 - 8192*a + 432. 4*(a + 27)*(19*a - 2)**2 Find o such that -6*o**4/7 - 36*o**3 - 1206*o**2/7 + 3840*o/7 + 21600/7 = 0. -36, -5, 4 Suppose -34*k**5/7 - 30*k**4/7 + 106*k**3/7 + 22*k**2/7 - 72*k/7 + 8/7 = 0. Calculate k. -2, -1, 2/17, 1 Solve 2*i**2/11 - 2216*i/11 - 2218/11 = 0. -1, 1109 Find d, given that 10*d**3/11 - 24*d**2/11 - 2*d + 12/11 = 0. -1, 2/5, 3 Find f, given that f**2 - 27*f = 0. 0, 27 Let -5*n**5 - 45*n**4 + 30*n**3 + 230*n**2 - 345*n + 135 = 0. What is n? -9, -3, 1 Factor 21*h**2/5 - 57*h/5 + 6. 3*(h - 2)*(7*h - 5)/5 Factor -2*o**4/5 + 4*o**3/5 + 162*o**2/5 - 324*o/5. -2*o*(o - 9)*(o - 2)*(o + 9)/5 Factor g**4 - 48*g**3 + 597*g**2 - 2870*g + 4800. (g - 32)*(g - 6)*(g - 5)**2 Determine x so that 2*x**4/7 + 18*x**3/7 + 40*x**2/7 + 24*x/7 = 0. -6, -2, -1, 0 Let 6*w**4 + 81*w**3 - 132*w**2 + 45*w = 0. Calculate w. -15, 0, 1/2, 1 Let 2*h**5/9 + 16*h**4/9 + 46*h**3/9 + 56*h**2/9 + 8*h/3 = 0. What is h? -3, -2, -1, 0 Factor 5*f**4 + 35*f**3 + 70*f**2 + 40*f. 5*f*(f + 1)*(f + 2)*(f + 4) Factor i**4/12 + 47*i**3/12 + 135*i**2/2 + 1525*i/3 + 4250/3. (i + 10)**3*(i + 17)/12 Let 2*z**5 - 12*z**4 + 18*z**3 + 8*z**2 - 24*z = 0. What is z? -1, 0, 2, 3 Suppose 3*y**2 + 69*y - 630 = 0. What is y? -30, 7 Determine f so that -3*f**2 - 54*f = 0. -18, 0 Determine f so that -4*f**4 - 8*f**3 + 12*f**2 = 0. -3, 0, 1 Determine y so that 45*y**5/7 - 186*y**4/7 - 207*y**3 + 318*y**2/7 + 1080*y/7 + 192/7 = 0. -4, -2/3, -1/5, 1, 8 Find z, given that 2*z**2/19 - 32/19 = 0. -4, 4 Factor -4*y**4 - 76*y**3 - 228*y**2 + 1276*y - 968. -4*(y - 2)*(y - 1)*(y + 11)**2 Determine f so that -5*f**5 - 25*f**4 - 35*f**3 - 15*f**2 = 0. -3, -1, 0 Solve -d**3/3 + 20*d**2/3 + 43*d/3 + 22/3 = 0. -1, 22 What is r in 3*r**2/7 - 117*r/7 - 120/7 = 0? -1, 40 Let 121*g**4/2 + 143*g**3 + 213*g**2/2 + 26*g + 2 = 0. Calculate g. -1, -2/11 Let -4*q**2 - 160*q - 304 = 0. Calculate q. -38, -2 Factor 5*d**5 - 80*d**4 + 320*d**3 - 530*d**2 + 395*d - 110. 5*(d - 11)*(d - 2)*(d - 1)**3 Factor 5*c**4/6 + c**3/2 - 31*c**2/3 + 4*c. c*(c - 3)*(c + 4)*(5*c - 2)/6 Find p such that -p**2/3 + 134*p/3 - 4489/3 = 0. 67 Solve z**2/9 - 121*z/9 - 82/3 = 0. -2, 123 Determine t, given that -2*t**3/3 + 20*t**2/3 - 56*t/3 + 16 = 0. 2, 6 Factor -v**3/2 + 3*v**2/2 - v. -v*(v - 2)*(v - 1)/2 Suppose 12*h**2 - 214*h + 202 = 0. Calculate h. 1, 101/6 Suppose -5*l**4/2 - 25*l**3 - 115*l**2/2 - 35*l = 0. What is l? -7, -2, -1, 0 Suppose o**3/6 - 49*o**2/6 + 172*o/3 - 328/3 = 0. What is o? 4, 41 What is d in 5*d**4 + 125*d**3 + 120*d**2 = 0? -24, -1, 0 Find g, given that -3*g**2 + 639*g - 636 = 0. 1, 212 Let 21*v**5 - 162*v**4 - 48*v**3 = 0. What is v? -2/7, 0, 8 Factor 3*n**3/2 + 8061*n**2/2 + 2705472*n - 2709504. 3*(n - 1)*(n + 1344)**2/2 Solve -2*j**5/3 - 4*j**4/3 + 220*j**3/3 + 224*j**2/3 - 218*j/3 - 220/3 = 0 for j. -11, -1, 1, 10 Factor r**2/4 - 29*r/2 + 265/4. (r - 53)*(r - 5)/4 Factor 3*x**2/7 + 90*x/7 + 81. 3*(x + 9)*(x + 21)/7 Factor -2*j**4/13 - 24*j**3/13 - 72*j**2/13. -2*j**2*(j + 6)**2/13 Factor -f**4/3 + 10*f**3/3 + 23*f**2 + 30*f. -f*(f - 15)*(f + 2)*(f + 3)/3 Find o, given that -o**5/2 + 5*o**4 - 17*o**3/2 + 4*o**2 = 0. 0, 1, 8 Suppose 3*v**4 - 48*v**3 - 111*v**2 + 48*v + 108 = 0. Calculate v. -2, -1, 1, 18 Determine a so that 3*a**4/2 - a**3/2 - 19*a**2/2 - 15*a/2 = 0. -5/3, -1, 0, 3 Determine t, given that 5*t**2 + 835*t - 8850 = 0. -177, 10 Let -48*b**4 + 64*b**3 + 68*b**2 - 4*b - 8 = 0. Calculate b. -1/2, 1/3, 2 Factor -y**2/7 - 48*y/7 - 47/7. -(y + 1)*(y + 47)/7 What is d in -4*d**5 - 149*d**4 - 1165*d**3 + 4198*d**2 - 2080*d - 800 = 0? -20, -1/4, 1, 2 Determine m so that -143*m**4/10 - 29*m**3/2 - m**2/5 = 0. -1, -2/143, 0 What is o in 3*o**3/7 - 39*o**2/7 = 0? 0, 13 Determine k so that -2954*k**2 + 2958*k - 4 = 0. 2/1477, 1 Solve 10*n**2 - 1976*n - 792 = 0. -2/5, 198 Find z such that -32*z**3 + 420*z**2 - 1188*z = 0. 0, 33/8, 9 Suppose -2*k**2/7 - 810*k/7 + 116 = 0. What is k? -406, 1 Let 2*k**3/3 - 16*k**2/3 + 14*k/3 = 0. What is k? 0, 1, 7 Factor w**4/4 + 5*w**3/4 + 3*w**2/4 - 5*w/4 - 1. (w - 1)*(w + 1)**2*(w + 4)/4 Let 15*a**5 + 65*a**4 + 95*a**3 + 55*a**2 + 10*a = 0. What is a? -2, -1, -1/3, 0 Determine r, given that -20*r**5/3 + 128*r**4/3 - 148*r**3/3 - 200*r**2/3 + 32*r = 0. -1, 0, 2/5, 3, 4 Factor -4*h**3 + 52*h**2 - 160*h + 144. -4*(h - 9)*(h - 2)**2 Factor -3*n**5 + 48*n**4 + 288*n**3 + 546*n**2 + 435*n + 126. -3*(n - 21)*(n + 1)**3*(n + 2) Factor -4*f**2 - 8940*f + 17896. -4*(f - 2)*(f + 2237) What is k in -3*k**5/2 + 48*k**4 - 45*k**3 - 48*k**2 + 93*k/2 = 0? -1, 0, 1, 31 Factor 5*p**3 + 15*p**2 - 20. 5*(p - 1)*(p + 2)**2 Factor -c**3/4 + 115*c**2/4 - 111*c. -c*(c - 111)*(c - 4
{ "pile_set_name": "DM Mathematics" }
89. 2*(r - 2)*(r - 1) Suppose -45*l = 11*l. Let f(a) be the second derivative of -1/6*a**4 + 0 + l*a**2 - 8*a + 0*a**3 - 1/20*a**5. Suppose f(r) = 0. What is r? -2, 0 Let s(y) be the first derivative of 2*y**3/15 - 126*y**2/5 + 7938*y/5 + 224. Factor s(u). 2*(u - 63)**2/5 Factor -3448*n**2 - 19 - 5*n + 5*n**3 + 3473*n**2 - 6. 5*(n - 1)*(n + 1)*(n + 5) Let g(o) be the first derivative of o**5/5 + o**4/4 + o**3/3 + o - 16. Let s(v) = 12*v**4 + 6*v**3 + 8*v**2 + 4*v + 10. Let n(f) = 10*g(f) - s(f). Factor n(a). -2*a*(a - 2)*(a - 1)*(a + 1) Suppose -4 = -3*j + 5*p, -5*j + p = -0*p - 14. Find m such that -7 - 1 + 6*m**2 - 5 - 2*m**j + 5 = 0. -1, 2 Let s(h) = -9*h**4 - 13*h**3 + h**2 - 2*h. Let j be ((-14)/(-3))/((-12)/18). Let m(a) = -4*a**4 - 6*a**3 - a. Let g(b) = j*m(b) + 3*s(b). Factor g(u). u*(u + 1)**3 Let k(p) = -5*p**2 + 1835*p + 167450. Let o(d) = 2*d**2 - d - 1. Let u(g) = -k(g) - 5*o(g). Factor u(f). -5*(f + 183)**2 Suppose -3*o = -7*v + 3*v - 874, 5*v = o - 306. Let r be (-10)/6 + o/156. Determine g so that -r*g**4 + 1/6*g**2 + 0 - 1/6*g**3 + 1/6*g = 0. -1, 0, 1 Let a(n) = -25*n**3 - 67*n**2 + 145*n - 33. Let y(o) = 24*o**3 + 69*o**2 - 144*o + 36. Let l(p) = -3*a(p) - 4*y(p). Suppose l(f) = 0. What is f? -5, 3/7, 1 Find c such that 54/7*c**2 + 24/7 - 60/7*c - 3*c**3 + 3/7*c**4 = 0. 1, 2 Let t(i) be the second derivative of 3*i**4/4 + 7*i**3/6 + 3*i**2/2 + 8*i. Let x(g) = -4*g**2 - 4*g - 2. Let w(o) = -4*t(o) - 10*x(o). Factor w(u). 4*(u + 1)*(u + 2) Suppose -j + 8 = 6. Suppose -99*u**j - 13 + 104*u**2 - 40*u - 7 + 10*u**3 = 0. What is u? -2, -1/2, 2 Let t(s) be the first derivative of -12*s - 10/3*s**3 + 5 - 17*s**2. Factor t(q). -2*(q + 3)*(5*q + 2) Factor -128/7 - 104/7*p**2 - 192/7*p - 2/7*p**4 - 24/7*p**3. -2*(p + 2)**2*(p + 4)**2/7 Let k(i) be the first derivative of 4*i**3/3 + 96*i**2 + 368*i - 613. Factor k(j). 4*(j + 2)*(j + 46) Let c(a) be the second derivative of a**5/10 - 7*a**4/6 + 14*a**3/3 - 8*a**2 + 39*a - 2. Solve c(z) = 0 for z. 1, 2, 4 Let u(h) = -h**3 + 6*h**2 + 3. Let l be u(6). Let n be 9 - (-3 + 280/24). What is z in 5/3*z + 1/3*z**4 - z**2 - 2/3 - n*z**l = 0? -2, 1 Let t(k) = -2*k + 1. Let r(d) be the second derivative of -d**4/12 - d**3/6 + 2*d**2 - 23*d. Let c(b) = -2*r(b) - 4*t(b). Factor c(z). 2*(z - 1)*(z + 6) Factor -6*z**2 + 0*z**2 + z**2 - 159 - 75*z + 0*z**2 + 329. -5*(z - 2)*(z + 17) Let o be 81/135 - (-374)/(-690). Let h = 593/483 + o. Find w such that 18/7*w**2 + h*w**4 - 24/7*w**3 - 3/7 + 0*w = 0. -1/3, 1 Let v(m) be the first derivative of 3*m**5/20 - m**3/2 - m + 1. Let b(z) be the first derivative of v(z). Factor b(y). 3*y*(y - 1)*(y + 1) Let x(n) = 18*n + 29. Let f be x(9). Factor 3*q**2 - f*q**3 + q - 3*q + 190*q**3. -q*(q - 2)*(q - 1) Let -21*j**4 - 18*j**3 + 6*j + 142*j**5 - 279*j**5 + 21*j**2 + 149*j**5 = 0. What is j? -1, -1/4, 0, 1, 2 Let j = -90 + 93. Suppose -4*w + 10 = 2*u, -15 = -17*w + 20*w - j*u. Factor 1/4*f**4 + w + 1/4*f - 1/4*f**2 - 1/4*f**3. f*(f - 1)**2*(f + 1)/4 Factor 2/15*x**3 + 0 - 4/15*x**2 - 16/15*x. 2*x*(x - 4)*(x + 2)/15 Factor -4 - 10921*w**2 - 6 + 12*w + 10919*w**2. -2*(w - 5)*(w - 1) Suppose 2/11*f**4 + 2/11*f**5 - 2/11*f**2 - 72/11 + 96/11*f - 26/11*f**3 = 0. What is f? -3, 1, 2 Let u(b) be the second derivative of b**5/80 - 5*b**4/48 - b**3/2 + 9*b**2/2 - 211*b. Suppose u(t) = 0. What is t? -3, 2, 6 Factor -38*f - 34*f + 8*f**2 - 4*f**2 + 74*f - 4*f**4 - 2*f**5. -2*f*(f - 1)*(f + 1)**3 Suppose 4*j + 6*i = 5*i + 66, -2*i = 4. Suppose 4*g - 12 = -4*m, 3*g = -m + j - 6. Determine u so that 16/9*u**3 - 44/9*u**2 - 2 + 16/3*u - 2/9*u**g = 0. 1, 3 Let s(y) be the second derivative of -y**8/560 + y**7/280 - 4*y**3/3 + 18*y. Let m(v) be the second derivative of s(v). Factor m(g). -3*g**3*(g - 1) Suppose m - 5 = 0, -22*l + 17 = -24*l + 5*m. Factor 6/5*j**l + 0*j + 3/5*j**2 + 0 - 9/5*j**3. 3*j**2*(j - 1)*(2*j - 1)/5 Let a(t) be the second derivative of t**8/1008 + t**7/315 + t**6/360 + 8*t**2 - 5*t. Let m(g) be the first derivative of a(g). Find y, given that m(y) = 0. -1, 0 Suppose -4*k + 21 = j, -4*k + 31 = 4*j - j. Suppose 3*w = -5*v + 8*w, 0 = w. Solve -2*g**2 - k*g**3 + v*g**3 - 2*g**4 - 66 + 66 = 0. -1, 0 Let t(a) be the third derivative of -1/32*a**4 + 0*a - 1/80*a**5 - 1/480*a**6 + 0 - 1/24*a**3 + 16*a**2. Factor t(w). -(w + 1)**3/4 Let q(i) be the first derivative of 8 - 1/16*i**4 + 0*i**2 + 6*i + 1/120*i**6 + 1/12*i**3 + 0*i**5. Let k(w) be the first derivative of q(w). Solve k(j) = 0. -2, 0, 1 Let z = 9 + -4. Suppose 3*a + 17*p = 18*p + 16, 4*a = -4*p. Let -4/11*h**2 - 4/11*h**3 - 2/11*h**z + 6/11*h + 6/11*h**a - 2/11 = 0. Calculate h. -1, 1 Let s = 4 - -6. Suppose 2*z - s = -0*z. Factor -4*f**4 - 3*f**3 + 4*f**5 + 4*f**4 - f**z. 3*f**3*(f - 1)*(f + 1) Let i(v) be the third derivative of v**8/560 - v**6/100 + v**4/40 + 496*v**2. Determine r, given that i(r) = 0. -1, 0, 1 Let j(m) be the third derivative of -m**8/3696 + m**7/330 - m**6/120 + m**5/132 - m**2 + 64*m. Let j(n) = 0. Calculate n. 0, 1, 5 Let d(j) be the second derivative of j**6/96 + 7*j**5/240 + j**4/48 + 25*j**2/2 + 19*j. Let a(z) be the first derivative of d(z). Factor a(p). p*(p + 1)*(5*p + 2)/4 Let f(a) be the third derivative of a**5/210 - 5*a**4/28 + a**2. Let f(c) = 0. What is c? 0, 15 Factor -5*g**2 + 19*g - 5944 + 16*g + 6034. -5*(g - 9)*(g + 2) Let x(d) be the third derivative of d**7/105 + 13*d**6/20 + 133*d**5/10 + 361*d**4/12 - 95*d**2. Factor x(b). 2*b*(b + 1)*(b + 19)**2 Let n be (-21 - -9)*5/(-20). Factor 1/3*v**n + 2/3*v**2 + 1/3*v + 0. v*(v + 1)**2/3 Factor -3*p - 1/5*p**2 + 16/5. -(p - 1)*(p + 16)/5 Factor -3*c - 6/5*c**2 - 6/5. -3*(c + 2)*(2*c + 1)/5 Let u(d) be the first derivative of -5*d**9/3024 + d**7/56 + d**6/36 - d**3/3 + 11*d**2/2 - 13. Let g(c) be the third derivative of u(c). Factor g(f). -5*f**2*(f - 2)*(f + 1)**2 Suppose -o = 2 - 4. Find j, given that 31*j**3 - 9*j**2 - 16*j**4 + j**o + 4*j**5 - 11*j**3 = 0. 0, 1, 2 Let w(n) be the first derivative of -n**3 + 51*n**2 - 101. Factor w(b). -3*b*(b - 34) Let m be 124/36 + (-28)/63. Let o(u) be the first derivative of -3/40*u**5 + 1/16*u**4 + 0*u - 5/48*u**6 + 0*u**2 + 0*u**m + 2. What is b in o(b) = 0? -1, 0, 2/5 Let x(z) be the second derivative of z**7/14 + 2*z**6/5 + 9*z**5/20 + 85*z. Factor x(n). 3*n**3*(n + 1)*(n + 3) Factor 4/7*m**3 - 2/7*m**2 + 0 - 4/7*m + 2/7*m**4. 2*m*(m - 1)*(m + 1)*(m + 2)/7 Let c = -6317/7 + 938. Let h = c - 244/7. Factor 4/7*x**2 - h*x + 1/7. (x - 1)*(4*x - 1)/7 Let j(n) be the second derivative of n**6/12 - n**5/8 - 5*n**4/4 + 545*n. Suppose j(w) = 0. Calculate w. -2, 0, 3 Let g be (6/(-4))/((-1)/2). Let t(x) = -10*x**2 + 118*x + 26. Let v be t(12). Factor -2/5*i**g + 4/5*i**v + 2/5*i - 4/5. -2*(i - 2)*(i - 1)*(i + 1)/5 Suppose -4*y + 7*x + 17 = 10*x, 16 = 2*y + 4*x. Suppose 90/7*k**y - 50/7*k**3 - 48/7*k + 8/7 = 0. What is k? 2/5, 1 What is l in 2*l**2 + 14*l - 3*l**2 - l**2 - 75 + 55 = 0? 2, 5 Let r(j) be the first derivative of 0*j**4 + 2/13*j**2 + 1 + 0*j + 2/65*j**5 - 2/13*j**3. Factor r(n). 2*n*(n - 1)**2*(n + 2)/13 Let r(m) = m**2 + 21*m. Let v(j) be the second derivative of 2*j**3/3 + 12*j. Let k(l) = 2*r(l) - 11*v(l). Determine y so that k(y) = 0. 0, 1 Let f(i) = 2*i**4 + 8*i**3 + 4*i**2 - 2*i - 6. Let x(v) = v**3 + v**2 - 1. Let b(q) = f(q) - 6*x(q). Let b(l) = 0. What is l? -1, 0, 1 Suppose 0 = 16*z - 37*z. Factor z - 9/2*x**2 - 2*x. -x*(9*x + 4)/2 Let n(q) = 29*q**3 - 51*q**2 + 35*q - 5. Let s(i) = 28*i**3 - 52*i**2 + 35*i - 5. Let a(d) = 3*n(d) - 4*s(d). Factor a(m). -5*(m - 1)**2*(5*m - 1) Let n(r) be the second derivative of r**4/4 + 248*r**3 + 92256*r**2 + 637*r. Let n(g) = 0. What is g? -248 Suppose -4*y = -2*j - 22, -5*j - 16 = -8*j - y. Factor j - 9/4*n - 3/4*n**2. -3*(n - 1)*(n + 4)/4 Let v(z) be the second derivative of z**5/35 - 205*z**4/21 + 20806*z**3/21 + 21218*z**2/7 + 260*z + 1. Factor v(c). 4*(c - 103)**2*(c + 1)/7 Let a = -2737/166 + -1/83. Let s = 50/3 + a. Suppose -1/6*u - 5/6*u**2 + s - 1/2*u**3 = 0. What is u? -1, 1/3 Suppose 2*c - 7 = 4*d - 19, -2*c + 3 = d. Factor 0 + 5/2*r**3 + c*r - 10*r**2. 5*r**2*(r - 4)/2 Let o = -31869/2 - -15935. Factor 3 - o*d**2 - 5/2*d. -(d - 1)*(d + 6)/2 Solve 3/8*h**4 + 36 - 147/2*h + 48*h**2 - 87/8*h**3 = 0 for h. 1, 2, 24 Supp
{ "pile_set_name": "DM Mathematics" }
highest common divisor of 76 and 32566. 38 Calculate the highest common divisor of 6893 and 113. 113 What is the greatest common divisor of 472 and 16756? 236 Calculate the highest common factor of 3175 and 254. 127 What is the highest common divisor of 103 and 1? 1 What is the highest common divisor of 44 and 4554? 22 Calculate the highest common divisor of 20 and 620. 20 Calculate the greatest common divisor of 2758 and 98. 14 What is the highest common factor of 2988 and 36? 36 What is the highest common divisor of 14570 and 248? 62 Calculate the greatest common factor of 1197 and 63. 63 What is the highest common divisor of 4242 and 42? 42 What is the greatest common factor of 4950 and 165? 165 Calculate the highest common factor of 680 and 119. 17 What is the greatest common divisor of 473 and 11? 11 What is the greatest common divisor of 23 and 1242? 23 Calculate the greatest common factor of 319 and 11. 11 What is the highest common factor of 8 and 232? 8 Calculate the highest common divisor of 1164 and 12. 12 Calculate the greatest common divisor of 36 and 16. 4 What is the highest common divisor of 85 and 1649? 17 Calculate the greatest common divisor of 42 and 644. 14 What is the highest common divisor of 256 and 224? 32 What is the highest common divisor of 62 and 3751? 31 Calculate the greatest common factor of 275 and 1903. 11 What is the greatest common divisor of 85 and 30? 5 Calculate the greatest common factor of 928 and 841. 29 Calculate the greatest common divisor of 18 and 144. 18 What is the greatest common factor of 2 and 134? 2 Calculate the highest common factor of 1054 and 31. 31 Calculate the highest common divisor of 11436 and 12. 12 What is the greatest common factor of 229 and 3664? 229 What is the greatest common divisor of 4525 and 25? 25 Calculate the greatest common divisor of 19 and 95. 19 Calculate the greatest common divisor of 1363 and 116. 29 Calculate the highest common divisor of 6347 and 22. 11 What is the greatest common factor of 20184 and 24? 24 Calculate the highest common factor of 36 and 5112. 36 What is the greatest common divisor of 49072 and 16? 16 What is the highest common divisor of 234 and 52? 26 What is the highest common divisor of 112 and 416? 16 Calculate the highest common divisor of 2107 and 43. 43 Calculate the greatest common divisor of 270 and 4740. 30 Calculate the highest common factor of 58423 and 37. 37 What is the highest common factor of 36 and 96? 12 Calculate the highest common divisor of 1232 and 4. 4 Calculate the greatest common divisor of 1121 and 589. 19 Calculate the greatest common factor of 40 and 175. 5 What is the highest common factor of 1696 and 152? 8 Calculate the greatest common divisor of 320 and 460. 20 What is the greatest common factor of 80 and 180? 20 Calculate the greatest common divisor of 25 and 49425. 25 Calculate the highest common divisor of 651 and 63. 21 What is the greatest common divisor of 29 and 493? 29 Calculate the greatest common factor of 64 and 504. 8 Calculate the greatest common factor of 60 and 24. 12 What is the highest common factor of 16967 and 94? 47 Calculate the greatest common factor of 495 and 1584. 99 What is the greatest common divisor of 108 and 20? 4 Calculate the greatest common factor of 80 and 610. 10 Calculate the highest common factor of 29 and 8. 1 Calculate the greatest common divisor of 28 and 32. 4 What is the greatest common factor of 26 and 416? 26 What is the greatest common divisor of 96 and 492? 12 What is the highest common divisor of 651 and 31? 31 What is the highest common factor of 5 and 45? 5 Calculate the highest common divisor of 132 and 44. 44 Calculate the highest common divisor of 10 and 130. 10 What is the highest common factor of 71 and 1775? 71 Calculate the highest common divisor of 2440 and 854. 122 What is the highest common divisor of 105 and 255? 15 Calculate the highest common divisor of 62 and 73. 1 Calculate the highest common factor of 193 and 53461. 193 Calculate the greatest common factor of 90 and 1770. 30 Calculate the greatest common divisor of 302 and 3775. 151 Calculate the greatest common divisor of 192 and 1248. 96 What is the highest common divisor of 9 and 63? 9 What is the greatest common factor of 46455 and 285? 285 Calculate the highest common factor of 6273 and 9. 9 Calculate the greatest common factor of 6943 and 524. 131 Calculate the greatest common factor of 182 and 2639. 91 What is the greatest common divisor of 24 and 12780? 12 What is the greatest common divisor of 36 and 19692? 36 What is the greatest common factor of 20 and 3470? 10 What is the greatest common divisor of 24 and 216? 24 Calculate the greatest common divisor of 441 and 98. 49 Calculate the greatest common divisor of 288 and 126. 18 What is the highest common divisor of 10 and 30? 10 Calculate the greatest common divisor of 2304 and 180. 36 What is the greatest common factor of 145 and 15515? 145 Calculate the greatest common divisor of 672 and 108. 12 Calculate the highest common factor of 168 and 728. 56 What is the highest common divisor of 69 and 2139? 69 Calculate the highest common factor of 2708 and 4. 4 What is the greatest common divisor of 9 and 4938? 3 Calculate the highest common factor of 26 and 52. 26 Calculate the highest common factor of 4 and 484. 4 What is the greatest common factor of 28 and 6664? 28 Calculate the greatest common factor of 46 and 4. 2 What is the greatest common factor of 425 and 200? 25 What is the greatest common factor of 2738 and 222? 74 Calculate the greatest common factor of 192 and 1200. 48 Calculate the greatest common divisor of 3 and 2793. 3 Calculate the greatest common divisor of 33 and 77. 11 Calculate the greatest common factor of 273 and 462. 21 Calculate the highest common factor of 1647 and 3. 3 Calculate the greatest common factor of 366 and 18. 6 Calculate the greatest common divisor of 2562 and 42. 42 Calculate the highest common divisor of 204 and 11492. 68 What is the highest common factor of 21 and 119? 7 What is the highest common divisor of 132 and 231? 33 Calculate the greatest common factor of 108 and 3924. 36 Calculate the highest common divisor of 6685 and 28. 7 What is the highest common factor of 82 and 11234? 82 Calculate the greatest common divisor of 54 and 5364. 18 What is the greatest common factor of 35 and 215? 5 What is the highest common divisor of 900 and 396? 36 Calculate the greatest common factor of 12 and 14. 2 Calculate the highest common divisor of 18 and 26. 2 What is the greatest common factor of 26702 and 158? 158 What is the greatest common factor of 410 and 490? 10 What is the highest common divisor of 4800 and 48? 48 What is the highest common factor of 1288 and 56? 56 What is the greatest common factor of 3596 and 16? 4 What is the highest common factor of 1495 and 325? 65 What is the highest common divisor of 1947 and 33? 33 What is the greatest common divisor of 35 and 21? 7 What is the highest common divisor of 436 and 1199? 109 Calculate the highest common factor of 147 and 7. 7 Calculate the greatest common factor of 325 and 10. 5 What is the highest common divisor of 18579 and 99? 33 Calculate the highest common divisor of 752 and 112. 16 Calculate the highest common divisor of 48248 and 296. 296 Calculate the highest common divisor of 7 and 22. 1 Calculate the highest common factor of 282 and 376. 94 What is the highest common factor of 540 and 140? 20 What is the highest common factor of 152 and 23332? 76 Calculate the greatest common factor of 151 and 4681. 151 What is the highest common factor of 108 and 32? 4 What is the greatest common factor of 285 and 30? 15 Calculate the highest common divisor of 60 and 15. 15 Calculate the highest common divisor of 5060 and 260. 20 Calculate the greatest common factor of 44 and 31086. 22 What is the highest common divisor of 414 and 15111? 207 What is the greatest common divisor of 1501 and 395? 79 Calculate the greatest common factor of 3008 and 192. 64 What is the highest common divisor of 28 and 8813? 7 Calculate the greatest common divisor of 4608 and 128. 128 Calculate the greatest common factor of 1629 and 45. 9 What is the greatest common factor of
{ "pile_set_name": "DM Mathematics" }
4*c**2. Determine k(f(h)). 60*h**4 Suppose 4*y + v - 6*v - 63 = 0, -5*y = 5*v - 90. Suppose -4*f + y + 51 = 3*k, f - 71 = -3*k. Let u(r) = k - 24 + 3*r**2. Let i(n) = 5*n. Give i(u(c)). 15*c**2 Let m(s) = -9140*s. Let u(j) = -6*j**2. Determine m(u(f)). 54840*f**2 Let f(d) = -6*d. Let i(y) = 8*y**2 + 27. Let o(j) = -6*j**2 - 23. Let x(a) = -6*i(a) - 7*o(a). Calculate x(f(g)). -216*g**2 - 1 Let t(i) = 3*i**2 - 34. Let x(p) = 6*p. Calculate t(x(d)). 108*d**2 - 34 Let y(j) = -81*j**2. Let l(g) = 2*g + 13. What is l(y(o))? -162*o**2 + 13 Let z(k) = -k. Let i(c) be the second derivative of 0 + 37/6*c**3 + 39*c + 0*c**2. Calculate i(z(q)). -37*q Let o(l) = -l - 6. Let j(y) = 2. Let c(a) = 6*j(a) + 2*o(a). Let x(s) = 22*s. Determine c(x(u)). -44*u Let o(x) = 1. Let h(g) be the first derivative of -g**2/2 - 4*g + 30. Let y(f) = -h(f) - 4*o(f). Let c(b) = -4*b**2. Give c(y(s)). -4*s**2 Let m(x) = 45*x. Let n(r) = 1565*r**2. Determine m(n(w)). 70425*w**2 Let c(m) be the first derivative of 0*m**2 + 12*m - 1/6*m**3 + 10. Let o(x) be the first derivative of c(x). Let d(h) = 5*h**2. Give d(o(s)). 5*s**2 Let k(b) = -35845*b**2 + 18034*b**2 + 18075*b**2. Let r(q) = -q. Give r(k(f)). -264*f**2 Let a(v) = 22*v**2. Let m(f) be the second derivative of f**6/720 + f**4/6 + 7*f. Let r(i) be the third derivative of m(i). Calculate r(a(n)). 22*n**2 Let c(o) = -o + 87253. Let z(j) = -6*j**2. Give c(z(u)). 6*u**2 + 87253 Let p(a) = 2*a. Let y(j) be the third derivative of -16*j**5/15 + j**3/6 - 104*j**2. What is y(p(t))? -256*t**2 + 1 Let c(u) = 11579*u - 3. Let n(m) = 2*m**2. Give n(c(x)). 268146482*x**2 - 138948*x + 18 Let u(q) = 21*q**2 - 2. Let x(i) = 128*i. What is x(u(z))? 2688*z**2 - 256 Let i(h) = 2710*h**2 - 2*h + 2. Let s(l) = l**2. Determine i(s(q)). 2710*q**4 - 2*q**2 + 2 Let z(m) be the third derivative of m**6/180 + 5*m**4/8 - 5*m**2. Let k(o) be the second derivative of z(o). Let x(n) = 5*n**2. What is x(k(u))? 80*u**2 Let c(k) = -10*k. Let h(v) be the second derivative of -v**3/6 - 6*v. Let n(y) = c(y) - 6*h(y). Let l(j) = -4*j - j**2 + 4*j. Give n(l(b)). 4*b**2 Let r(u) = -3*u + 4*u + u. Let m(h) be the second derivative of -h + 11/12*h**4 + 0*h**2 + 0 + 0*h**3. Give r(m(b)). 22*b**2 Let r be (1/3)/(3/153). Let m(i) = -r*i + 7*i + 2*i. Let o(h) = -h. Give o(m(a)). 8*a Let m(p) = -p**2. Let g(j) = 1068719*j. Determine g(m(a)). -1068719*a**2 Let i(n) = -2*n - 23. Let y(l) = -4*l**2 + 3. Let c(t) be the first derivative of -17*t**3/3 + 13*t + 7. Let u(z) = -6*c(z) + 26*y(z). What is i(u(k))? 4*k**2 - 23 Let k(d) be the third derivative of -3*d**5/20 + 55*d**2 + 2*d. Let c(r) = 6*r - 5. Let f(t) = t - 1. Let i(w) = -c(w) + 5*f(w). Calculate i(k(u)). 9*u**2 Let l(w) = 4*w**2. Let j(p) = -304980*p**2. Give j(l(b)). -4879680*b**4 Let i(u) = -718*u + 1. Let s(d) = -4*d**2. Calculate i(s(r)). 2872*r**2 + 1 Let y(x) = -295*x - 18. Let u(d) = 388811*d + 23733. Let b(r) = -2*u(r) - 2637*y(r). Let o(t) = -2*t. Determine o(b(z)). -586*z Let a(g) = g. Let w(b) be the second derivative of 41*b**4/2 - b**2/2 - 206*b. Determine a(w(j)). 246*j**2 - 1 Let o(i) be the third derivative of i**6/360 + 13*i**4/12 - 18*i**2. Let v(k) be the second derivative of o(k). Let b(y) = -3*y**2. Give b(v(u)). -12*u**2 Let w(u) = -u. Let f(j) = -10 - 2*j - 6*j + 30*j - 4*j. Determine w(f(s)). -18*s + 10 Suppose q + 6 - 8 = 0. Let y(v) = -q*v + 13*v**2 + 3*v - v. Let m(d) = 15*d**2 - 4*d**2 - 13*d**2. Give y(m(w)). 52*w**4 Let j(m) = -m. Let p(y) = -y**2 - 8*y - 1. Let i(c) = -72*c**2 + 64*c + 8. Let x(b) = -i(b) - 8*p(b). Give x(j(s)). 80*s**2 Let y(o) = 4*o. Let n(d) = 187*d - 19. Give n(y(z)). 748*z - 19 Let b(s) be the first derivative of -5*s**3/3 - 323. Let t(z) = 2*z**2. Determine b(t(l)). -20*l**4 Let g(i) = i**2 + 17*i - 56. Let x be g(3). Let f(o) be the third derivative of 0*o**3 - 1/12*o**x + 0*o - 3*o**2 + 0. Let v(h) = -2*h**2. Determine v(f(q)). -8*q**2 Let i(u) be the first derivative of -3*u**3 + 4*u + 171. Let y(o) = 5*o**2. Determine i(y(a)). -225*a**4 + 4 Let p(g) = 2*g**2. Let k(i) be the first derivative of 63*i**2 - 268. Give p(k(c)). 31752*c**2 Let f(t) = 134*t - 23. Let i(x) = 9*x. What is i(f(k))? 1206*k - 207 Let r be (-3 + 5)/(6/9). Let h(l) = 106*l - 3 - 109*l + r. Let d(o) = 5 - 2*o**2 - 5. Calculate h(d(v)). 6*v**2 Let u(t) = 48*t - 429. Let a(z) = 3*z - 26. Let y(h) = 33*a(h) - 2*u(h). Let b(o) be the second derivative of -o**3/2 - o. What is b(y(g))? -9*g Let z be (-6)/4*(-2 + 0). Let b(h) = -h - z*h + 8*h. Let o(t) be the third derivative of -t**5/20 - 62*t**2. What is b(o(w))? -12*w**2 Let p(i) be the third derivative of -10*i**2 + 0*i**3 + 0*i**4 + 0*i + 0 + 1/60*i**5. Let z(u) = 6*u. What is z(p(t))? 6*t**2 Let u(b) = 4*b. Let t(o) = -707935*o. Give u(t(p)). -2831740*p Let v(x) = -3*x. Let m(z) be the second derivative of 47*z**3/6 + 2*z - 3. Determine m(v(p)). -141*p Let w(g) = -g. Let j(c) = 52*c - 65. Let h(a) be the second derivative of a**3/6 - a**2/2 + a. Let k(t) = -65*h(t) + j(t). What is w(k(o))? 13*o Let c(v) = 4*v + 6. Let p(a) = -21299*a. Determine p(c(o)). -85196*o - 127794 Let k(b) be the third derivative of 33*b**5/10 - b**2 + 48*b. Let x(m) = 2*m**2. Give k(x(n)). 792*n**4 Let u(m) = -m - 3. Let r(h) = h + 1. Let t(g) = 2*r(g) + u(g). Let w(i) = 7*i - 5. Let q(z) = -5*t(z) + w(z). Let b(p) = -5*p. Determine q(b(o)). -10*o Let x(n) = 4*n - 230. Let j(y) = 5*y. Calculate j(x(a)). 20*a - 1150 Let q(t) = 108*t**2 - 9*t + 27. Let a(z) = 27*z**2 - 2*z + 6. Let w(v) = -9*a(v) + 2*q(v). Let x(f) = 15*f**2. Give w(x(p)). -6075*p**4 Let j(c) = 2*c**2. Let m(o) = -o - 7. Let s(t) = 3*t + 20. Let x(u) = 11*m(u) + 4*s(u). Let h(i) = 12*i + 32. Let a(n) = -3*h(n) + 32*x(n). Calculate j(a(v)). 32*v**2 Let l(c) be the third derivative of -2*c**5/15 - 6*c**2. Let x(s) = -1. Let p(k) = -4*k**2 - 1. Let w(q) = -p(q) + x(q). Calculate l(w(t)). -128*t**4 Let p(y) = 3*y. Let r(l) = -32147*l. What is p(r(w))? -96441*w Let b(m) = -2*m. Let i(y) = -511*y. Let a(f) = 1536*f. Let l(z) = -5*a(z) - 16*i(z). Determine l(b(k)). -992*k Let a(s) = 2295*s + 3 - 2294*s - 1. Let y(j) = 2*j**2. Determine a(y(w)). 2*w**2 + 2 Let w(i) = 2*i**2. Let f(n) = -5019 + 5019 - 13*n. Determine w(f(q)). 338*q**2 Let h(m) = 19*m + 10720. Let v(j) = -3*j**2. What is h(v(k))? -57*k**2 + 10720 Let a(b) = 3*b + 14. Let n(d) = -5*d. Let f(i) = 15*i. Let q(c) = f(c) + 2*n(c). Calculate q(a(z)). 15*z + 70 Let f(k) = 55*k**2. Let b(a) = 1601*a. Give b(f(x)). 88055*x**2 Let h(z) = z**2. Let d be 4/10*(-4 - -9). Suppose d*w + 3*g - 3 + 11 = 0, w = 3*g + 14. Let p(x) = -1 - x + w - 1. What is h(p(j))? j**2 Let p(z) = -14*z. Let y(m) = 35*m - 30. Let r(l) = -5*l + 4. Let t(n) = -15*r(n) - 2*y(n). Calculate p(t(a)). -70*a Let j(u) = 24*u**2. Suppose -13*t + 16*t - 9 = 0. Suppose 1 = -t*q + 7. Let h(w) = -6 + 5 + w**q + 1. What is j(h(o))? 24*o**4 Let g(j) = 23 + 0 + 11*j - 3*j - 23. Let r(v) = 12*v + 3. Determine g(r(y)). 96*y + 24 Let z(t) = -306*t. Let f(s) = 5*s. Give f(z(l)). -1530*l Let q(a) = -3*a. Let w(i) = -2*i. Let l(y) = -4*q(y) + 7*w(y). Suppose -p - 4*v + 8*v + 12 = 0, 4*p - v = 33. Let s(g) = p*g - 2 + 0 + 2. Calculate l(s(z)). -16*z Let k(f) = 2*f + 1. Let u(m) = -4*m**2 + 24*m + 12. Let v(z) = 24*k(z) - 2*u(z). Let b(l) = 16*l**2. Calculate v(b(i)). 2048*i**4 Let b(n) be the second derivative of 3*n**4/2 - 55*n. Let q(r) = -r**2. Calculate q(b(t)). -324*t**4 Let l(m) = -m - 1. Let s(a) = -7. Let p(o) = -7*l(o) + s(o). Let j(k) be the third derivative of 0 + 18*k**2 - 1/12*k**4 + 0*k**3 + 0*k. Determine p(j(i)). -14*i Let t(k) = -19*k**2 - 11*k**2 + 27*k**2. Let v(l) = -19*l. Calculate t(v(o)). -1083*o**2 Let q(a) = -a. Let s(f) = 1348*f**2 + 4*f - 4. What is s(q(j))? 1348*j**2 - 4*j - 4 Let o(p) = p. Let q(w) = 8328*w + 2. What is q(o(k))? 8328*k + 2 Let f(o) = 4*o**2 + 2*o - 2. Suppose -2*c + 2 = -c. Let p(l) = l**2 + l - 1. Let u(y) = c*p(y) - f(y). Let i(s) = 7*s**2. Determine i(u(q)). 28*q**4 Let s(t) = 28*t. Let a(m) = -90*m. Let w(u) = 5*a(u) + 16*s(u). Let r(g) = -159*g - 1. Calculate r(w(x)). 318*x - 1 Let q(k) = 2*k. Let y(p) = 167*p + 9. Determine q(y(s)). 334*s + 18 Let m(t) = -7*t. Let b(o) = -721*o**2 + o - 31. Give b(m(x)). -35329*x**2 - 7*x - 31 Let j(a) = a**3
{ "pile_set_name": "DM Mathematics" }
2)*1. 2 Let f be 1/(-2)*-6 - 3. Suppose r - 30 + 10 = f. What are the prime factors of r? 2, 5 What are the prime factors of 7/42 + (-250)/(-12)? 3, 7 Let p(t) = 2*t**2 - 6*t - 7. What are the prime factors of p(-3)? 29 Suppose -a + 5*a + 4*y = 12, 4*a - 4*y = 4. Let t = a - -28. List the prime factors of t. 2, 3, 5 Suppose -2 = 3*k - 5. Suppose s - 4 = 5*s. What are the prime factors of s*(-1 + k + -24)? 2, 3 Suppose -5*u + z - 1 = -496, -5*z = 0. Suppose -3*y - 93 = -4*n, 0 = 5*n + y - 3 - u. What are the prime factors of n? 3, 7 Let i(v) = -16*v**2 - 16*v**2 - v - 18*v**3 + 31*v**2 - 1. List the prime factors of i(-1). 17 Let q = 426 + -300. Let j be 2/10 - q/30. Let g(m) = -m**3 - 4*m**2 - 4*m + 1. What are the prime factors of g(j)? 17 Let j = 4 - 4. Suppose 2*a + 2 - 20 = j. List the prime factors of a. 3 Suppose -5*q + 5*m - 9 + 34 = 0, 4*q + 3*m - 6 = 0. Let v(t) = t**2 - 1 - 3*t + 2 + q. What are the prime factors of v(5)? 2, 7 Let c = -42 - -205. List the prime factors of c. 163 What are the prime factors of (312/(-20))/((-2)/5)? 3, 13 Let z(m) be the first derivative of -m**3/3 + 3*m**2 - m - 1. What are the prime factors of z(5)? 2 Let n = -116 - -179. List the prime factors of n. 3, 7 Suppose 2*k - 6 = -r, -k + 1 = 5*r - 2. Suppose -w + 1 + 2 = r. Suppose 4*b - w = -d + 6, d - 7 = -2*b. What are the prime factors of d? 5 Let a(d) = d**3 + 3*d**2 - d + 3. Let s be a(-3). Suppose -g - 17 + 19 = 0. Suppose -s = -g*v - 0*v. What are the prime factors of v? 3 Let u be -1 + 3 + -6 + 4. Suppose -o - 3*o - 2*g - 4 = u, 5*g + 10 = -4*o. What are the prime factors of ((-20)/(-2))/(o - -2)? 5 Let q(y) = 7*y - 4. Let s(m) = -15*m + 8. Let t(v) = 9*q(v) + 4*s(v). Let u be 2/(-8) - 68/(-16). List the prime factors of t(u). 2 Let i(d) be the second derivative of -2*d**3/3 - 5*d**2/2 + 3*d. What are the prime factors of i(-8)? 3 Suppose 2*s = -2*a, -3*s + 2 + 6 = a. Suppose 9*k = s*k - 85. List the prime factors of 6/10 + k/(-5). 2 Let i(f) = f + 9. Let l be (-58)/(-8) - (-4)/(-16). Let v be i(l). Suppose 3*c = -v + 52. What are the prime factors of c? 2, 3 Let g = -141 - -211. What are the prime factors of g? 2, 5, 7 Let j(z) = -10*z**3 + z**2. Let r be j(1). Let b(u) be the third derivative of u**5/60 + 7*u**4/24 - u**3 - 3*u**2. What are the prime factors of b(r)? 2, 3 Suppose 2*t + t - 43 = -p, -2*p + 76 = 4*t. Let w = p + 7. List the prime factors of w. 5, 7 Let n be 434/6 + 1/(-3). Suppose n - 210 = -3*c. Suppose -2*y = a - 5*a - 22, 2*y - c = -4*a. List the prime factors of y. 17 Let o(w) = w**3 - 2*w**2 - w - 1. Let m be o(3). Suppose -2*h + 2*f = m*f - 17, -3*f = h - 4. List the prime factors of h. 13 Let x = -195 + 281. List the prime factors of x. 2, 43 Let l(q) = -q**3 + q + 3. Let r be l(0). Suppose -z = z - 3*j, -3*j + 30 = r*z. What are the prime factors of z? 2, 3 Let w be (-17)/(-3) - (-20)/(-30). Let m(f) = 2*f + 11. What are the prime factors of m(w)? 3, 7 Let n be (48/(-10))/(3/(-50)). Suppose -w + 4 = -r + 24, 2*w = -4*r + n. Suppose 7*v - 2*v = r. List the prime factors of v. 2 Suppose -10 = 2*q - 4*s - 0*s, 0 = 5*q - 3*s + 18. What are the prime factors of (7/q)/((-2)/36)? 2, 3, 7 Let j(t) be the first derivative of t**2/2 + 4*t - 4. List the prime factors of j(8). 2, 3 Suppose -2*m - z = -528, -m + z + 264 = -4*z. What are the prime factors of m? 2, 3, 11 Let o(v) = -3*v. Let r be o(-4). Suppose 2*k - r = -k. What are the prime factors of k? 2 Let g be 5/(-15) - 13/(-3). Suppose 3*t = 4*q - 26, -2*t = -g*q + 2*t + 24. What are the prime factors of q? 2 Suppose 0 = -4*m + 471 + 257. List the prime factors of m. 2, 7, 13 Let p = 1 + 1. Suppose 3*y + 4*h - 9 = 23, -p*y - 12 = -4*h. Suppose 4*a - 12 = -4*c + y, -c + 22 = 4*a. List the prime factors of a. 2, 3 Let a = -2 - -6. Let i be (-1 + 1)/(a + -3). Suppose i = 2*u - 6. List the prime factors of u. 3 Let z(q) = -q. Let k(w) = -1. Let o(a) = k(a) - 6*z(a). Let c be o(-1). List the prime factors of 4/8 - c/2. 2 Let r(j) = j. Let o be r(-1). Suppose -i + 4*l + 162 = i, -116 = -i - 5*l. What are the prime factors of (o - -4)*i/21? 13 Let y(k) = k**3 - 4*k**2 + 2*k - 2. Let l be y(4). Let t = 11 - l. What are the prime factors of t? 5 Let f be 21/6*4/2. Suppose -m - f = -5. What are the prime factors of 246/18 - m/(-3)? 13 Let u = -27 + 73. List the prime factors of u. 2, 23 Let t be -44*(-1 + 1 - 1). What are the prime factors of (3 + t/(-12))*-12? 2 Let w be (-10)/4*36/(-30). Suppose 0 = 3*l - 2 - 1. What are the prime factors of (w - l)/(2/13)? 13 Let l(b) = b**3 - 2*b**2 - 2*b + 3. Let p be l(3). Let r be (-6)/18 + (-4)/p. List the prime factors of (9/(-15))/(r/15). 3 Suppose -k + 37 = 4. What are the prime factors of k*(2/(-3) - -1)? 11 Let v(b) = b**3 - 7*b**2 - b + 9. Let x(z) = -z**3 + 6*z**2 - 7*z - 2. Let k be x(5). Let j = k - -19. What are the prime factors of v(j)? 2 Suppose 0 = 2*p - p - 36. Suppose 0 = -3*i - 0*i + 5*h + p, -3*i = -4*h - 36. What are the prime factors of i? 2, 3 Let b = -64 - -106. What are the prime factors of b? 2, 3, 7 Let r = 2 - 2. Suppose 3*u - 34 = z, 2*u = u + z + 14. Let j = r + u. What are the prime factors of j? 2, 5 Let r be (-1)/(-1*3 + 2). Let b = 6 + 2. Let v = b - r. What are the prime factors of v? 7 Let r be -2*(1 + -1 + 2). What are the prime factors of ((-12)/r)/((-2)/(-14))? 3, 7 Let n(i) = -13*i - 21. List the prime factors of n(-6). 3, 19 List the prime factors of -1 - -8*(-102)/(-4). 7, 29 Suppose -2*u + 1 = 7. Suppose -3*k + 6 = g - 0*g, 0 = 3*k - g - 12. List the prime factors of 9 - (k - 9 - u). 2, 3 Suppose -3*q = -8*q + 65. Let r = q + -1. What are the prime factors of r? 2, 3 List the prime factors of (14/(-10) + 1)/(9/(-2745)). 2, 61 Suppose -536 = -4*u - 44. List the prime factors of u. 3, 41 Suppose -40 = -q - 3. What are the prime factors of q? 37 Suppose -4 = -5*o + 1, 2*o = 5*d - 223. What are the prime factors of d? 3, 5 Let i(n) = n**2 + n - 4. List the prime factors of i(-5). 2 Let r = -2 + 5. Suppose -2*n = m - 92, -4*m + 6 + 74 = 2*n. Suppose -r*f + n = f. List the prime factors of f. 2, 3 Let t(c) = -2*c - 6. Suppose j - 9 = 2*j. What are the prime factors of t(j)? 2, 3 Let l(i) = 15*i**2 + 8*i + 19. List the prime factors of l(-5). 2, 3, 59 Let c(i) = -5*i**2 - 1. Let s(y) = -4*y**2 - y - 1. Let f(q) = 3*c(q) - 4*s(q). Let b be f(-6). Suppose -g = -29 + b. List the prime factors of g. 2 Let f = 69 + -53. List the prime factors of f. 2 Let s be 2/10 - (-19)/5. Suppose -2*k - 27 = -s*c + k, 5*k = -25. What are the prime factors of c? 3 Suppose -5*b - 204 = -9*b. List the prime factors of b. 3, 17 Let p(q) = -q**2 + 12*q - 9. Suppose -5*r + a + 35 = 0, 2*r - 4*r + 2*a = -6. List the prime factors of p(r). 23 Suppose -1 - 49 = -5*g. Let b = -5 - -3. List the prime factors of g + 1 - (-4)/b. 3 Suppose -k - 47 = -a, -a + 6*a = -3*k + 267. List the prime factors of a. 3, 17 Let g(b) = 2*b**3 - b**2 - 5*b + 2. What are the prime factors of g(4)? 2, 47 List the prime factors of -260*((10 - 10) + (-2)/5). 2, 13 Suppose -3 = -3*z - 6. What are the prime factors of (1 - z)*15/6? 5 Suppose -2*t - t - 2*k = -235, -69 = -t + 4*k. List the prime factors of t. 7, 11 Suppose w - 6*w = -2*u - 56, -52 = -4*w - 2*u. Let s = w + -7. Suppose 0 = 5*k + 3*q - 52, k = s*k - 5*q - 49. What are the prime factors of k? 11 Let p = -92 + 206. List the prime factors of p. 2, 3, 19 Suppose -3*j = -2*u + 157, -2*u + 4*j = 3*j - 159. What are the prime factors of u? 2, 5 Suppose s = 2*q - 36, 0*q + 5*s = 5*q - 95. Suppose v + 0 = q. What are the prime factors of v? 17 Let d(o) = o**2 - 2*o - 7. Suppose 26 = 5*t + 1. Suppose -t = 2*j - 0*u + 3*u, -30 = -3*j + 3*u. List the prime factors of d(j). 2 Let u be 7 + -1 + (-5)/5. Suppose u*k + 41 = 3*c - 15, 0 = -4*c + 5*k + 78. List the prime factors of c. 2, 11 Suppose 4*k - 234 = 242. What are the prime factors of k? 7, 17 Let w(y) = y + 2. Let o be w(7). Suppose o + 4 = n. List the prime factors of n. 13 Suppose 3*d = 8*d - 585. List the prime factors of d. 3, 13 Suppose -154 = -3*r + 38. What are the prime factors of r? 2 Let x = -41 - -80. Let n = 4 + x. List the prime factors of n. 43 Let f(v) = -8 - 6 + v**2 + 1 + 4*v. Let r be f(-9). Let p = -19 + r. List the prime factors of p. 13
{ "pile_set_name": "DM Mathematics" }
re there between 3:40 AM and 3:49 AM? 9 How many minutes are there between 8:48 AM and 8:58 AM? 10 What is 10 minutes before 1:59 PM? 1:49 PM How many minutes are there between 12:15 PM and 8:03 PM? 468 What is 56 minutes before 3:10 AM? 2:14 AM How many minutes are there between 6:37 PM and 2:19 AM? 462 How many minutes are there between 8:50 PM and 1:00 AM? 250 What is 444 minutes before 1:11 PM? 5:47 AM What is 625 minutes before 4:48 PM? 6:23 AM What is 89 minutes after 1:18 AM? 2:47 AM What is 543 minutes after 3:54 AM? 12:57 PM What is 681 minutes before 4:32 AM? 5:11 PM How many minutes are there between 8:35 AM and 9:52 AM? 77 How many minutes are there between 11:54 AM and 11:40 PM? 706 What is 700 minutes after 7:36 AM? 7:16 PM How many minutes are there between 9:24 PM and 7:05 AM? 581 What is 25 minutes after 1:48 AM? 2:13 AM How many minutes are there between 3:38 AM and 4:34 AM? 56 What is 482 minutes after 3:28 AM? 11:30 AM What is 41 minutes after 10:21 PM? 11:02 PM What is 156 minutes after 11:47 AM? 2:23 PM How many minutes are there between 8:43 PM and 4:08 AM? 445 What is 630 minutes after 8:58 PM? 7:28 AM How many minutes are there between 8:17 AM and 6:16 PM? 599 How many minutes are there between 2:48 AM and 9:29 AM? 401 How many minutes are there between 5:15 PM and 7:54 PM? 159 What is 102 minutes after 12:23 AM? 2:05 AM What is 6 minutes before 4:47 AM? 4:41 AM What is 681 minutes before 5:19 PM? 5:58 AM How many minutes are there between 7:10 AM and 2:52 PM? 462 How many minutes are there between 10:54 AM and 10:56 AM? 2 What is 20 minutes after 1:15 AM? 1:35 AM How many minutes are there between 10:01 AM and 12:23 PM? 142 How many minutes are there between 3:54 AM and 4:04 AM? 10 How many minutes are there between 8:26 PM and 1:17 AM? 291 What is 688 minutes before 2:29 AM? 3:01 PM How many minutes are there between 2:28 PM and 4:50 PM? 142 What is 470 minutes after 7:47 AM? 3:37 PM What is 607 minutes before 7:39 PM? 9:32 AM How many minutes are there between 5:11 AM and 5:23 AM? 12 What is 286 minutes before 12:09 AM? 7:23 PM What is 584 minutes before 2:10 AM? 4:26 PM How many minutes are there between 3:35 AM and 1:27 PM? 592 How many minutes are there between 12:11 AM and 6:11 AM? 360 What is 705 minutes before 8:03 AM? 8:18 PM How many minutes are there between 2:57 AM and 10:06 AM? 429 How many minutes are there between 11:36 PM and 2:50 AM? 194 How many minutes are there between 2:08 PM and 4:29 PM? 141 What is 559 minutes after 8:58 PM? 6:17 AM What is 581 minutes after 5:24 PM? 3:05 AM What is 209 minutes before 1:58 AM? 10:29 PM How many minutes are there between 10:25 AM and 3:34 PM? 309 How many minutes are there between 9:33 AM and 6:19 PM? 526 What is 313 minutes after 1:02 PM? 6:15 PM What is 532 minutes after 11:41 PM? 8:33 AM What is 366 minutes before 4:45 PM? 10:39 AM How many minutes are there between 9:49 AM and 7:35 PM? 586 What is 530 minutes after 8:42 AM? 5:32 PM How many minutes are there between 12:17 PM and 5:54 PM? 337 What is 279 minutes before 9:28 AM? 4:49 AM How many minutes are there between 3:21 PM and 11:29 PM? 488 What is 104 minutes before 9:15 PM? 7:31 PM What is 669 minutes after 2:01 AM? 1:10 PM What is 404 minutes after 12:12 PM? 6:56 PM What is 244 minutes before 8:59 AM? 4:55 AM How many minutes are there between 12:57 PM and 12:28 AM? 691 What is 556 minutes before 12:39 AM? 3:23 PM How many minutes are there between 9:14 PM and 10:06 PM? 52 How many minutes are there between 1:11 PM and 12:23 AM? 672 How many minutes are there between 6:07 PM and 2:08 AM? 481 What is 328 minutes before 1:05 AM? 7:37 PM How many minutes are there between 1:59 PM and 3:49 PM? 110 How many minutes are there between 6:14 AM and 2:38 PM? 504 How many minutes are there between 1:37 PM and 12:42 AM? 665 What is 197 minutes after 2:43 PM? 6:00 PM How many minutes are there between 8:27 PM and 11:50 PM? 203 What is 217 minutes before 11:43 AM? 8:06 AM What is 557 minutes after 5:56 PM? 3:13 AM How many minutes are there between 11:21 AM and 2:16 PM? 175 How many minutes are there between 3:28 AM and 1:37 PM? 609 What is 244 minutes before 10:26 AM? 6:22 AM What is 398 minutes before 5:09 AM? 10:31 PM How many minutes are there between 8:48 AM and 6:45 PM? 597 How many minutes are there between 11:12 AM and 4:57 PM? 345 How many minutes are there between 2:54 AM and 7:47 AM? 293 How many minutes are there between 3:23 AM and 8:48 AM? 325 How many minutes are there between 3:25 AM and 1:03 PM? 578 How many minutes are there between 7:20 PM and 12:25 AM? 305 How many minutes are there between 4:43 AM and 9:38 AM? 295 How many minutes are there between 5:41 AM and 7:03 AM? 82 How many minutes are there between 9:29 AM and 7:18 PM? 589 How many minutes are there between 8:06 PM and 12:36 AM? 270 What is 685 minutes after 10:57 PM? 10:22 AM What is 291 minutes before 5:42 PM? 12:51 PM How many minutes are there between 3:55 PM and 7:55 PM? 240 How many minutes are there between 5:27 AM and 12:13 PM? 406 How many minutes are there between 4:38 AM and 3:02 PM? 624 What is 445 minutes after 2:53 PM? 10:18 PM How many minutes are there between 3:14 PM and 11:22 PM? 488 What is 249 minutes after 1:16 PM? 5:25 PM What is 572 minutes after 2:51 PM? 12:23 AM What is 468 minutes before 1:02 AM? 5:14 PM How many minutes are there between 9:11 AM and 11:30 AM? 139 How many minutes are there between 1:29 PM and 3:45 PM? 136 What is 303 minutes after 9:22 PM? 2:25 AM What is 266 minutes before 5:38 PM? 1:12 PM How many minutes are there between 3:11 AM and 12:54 PM? 583 How many minutes are there between 10:33 AM and 11:25 AM? 52 What is 344 minutes before 2:23 AM? 8:39 PM What is 171 minutes before 1:55 AM? 11:04 PM What is 332 minutes before 7:53 PM? 2:21 PM What is 644 minutes after 7:36 PM? 6:20 AM How many minutes are there between 1:38 PM and 2:32 PM? 54 What is 501 minutes before 3:13 AM? 6:52 PM What is 404 minutes after 3:40 AM? 10:24 AM How many minutes are there between 12:24 AM and 12:07 PM? 703 How many minutes are there between 8:10 PM and 5:00 AM? 530 How many minutes are there between 5:31 AM and 6:12 AM? 41 How many minutes are there between 9:09 AM and 1:35 PM? 266 How many minutes are there between 4:58 PM and 11:59 PM? 421 What is 260 minutes after 8:14 PM? 12:34 AM What is 481 minutes after 7:39 PM? 3:40 AM How many minutes are there between 8:03 AM and 7:00 PM? 657 How many minutes are there between 10:19 AM and 11:18 AM? 59 How many minutes are there between 11:06 PM and 6:18 AM? 432 What is 647 minutes before 10:12 AM? 11:25 PM What is 291 minutes before 12:12 AM? 7:21 PM What is 706 minutes before 7:58 AM? 8:12 PM What is 655 minutes after 3:33 AM? 2:28 PM What is 453 minutes before 11:14 PM? 3:41 PM What is 504 minutes after 11:34 AM? 7:58 PM How many minutes are there between 8:05 AM and 11:22 AM? 197 How many minutes are there between 10:41 AM and 5:42 PM? 421 How many minutes are there between 5:54 PM and 12:35 AM? 401 How many minutes are there between 1:33 AM and 11:14 AM? 581 What is 557 minutes before 6:33 AM? 9:16 PM What is 195 minutes after 12:59 PM? 4:14 PM What is 50 minutes before 5:42 AM? 4:52 AM What is 538 minutes before 4:03 PM? 7:05 AM What is 59 minutes before 4:53 PM? 3:54 PM What is 353 minutes before 3:31 PM? 9:38 AM How many minutes are there between 11:41 AM and 9:28 PM? 587 What is 539 minutes after 1:33 PM? 10:32 PM What is 48 minutes after 11:01 AM? 11:49 AM What is 62 minutes before 4:57 PM? 3:55 PM What is 327 minutes before 8:26 AM? 2:59 AM How many minutes are there between 12:37 PM and 1:44 PM? 67 How many minutes are there between 7:39 AM and 1:03 PM? 324 What is 385 minutes before 12:53 AM? 6:28 PM How many minutes are there between 7:36 AM and 4:28 PM? 532 What is 117 minutes before 5:55 PM? 3:58 PM How many minutes are there between 1:02 AM and 6:20 AM? 318 What is 77 minutes after 5:04 AM? 6:21 AM What is 175 minutes before 6:14 PM? 3:19 PM How many minutes are there between 4:01 AM and 9:54 AM? 353 What is 195 minutes before 6:17 PM? 3:02 PM How many minutes are there between 10:47 AM and 4:07 PM? 320 What is 317 minutes before 3:51 AM? 10:34 PM
{ "pile_set_name": "DM Mathematics" }
ing order. -1, 1, 2, 3, 7 Sort -22, 0.5, 3/7 in increasing order. -22, 3/7, 0.5 Put 1, -4, 1.1, -0.1, -0.5 in increasing order. -4, -0.5, -0.1, 1, 1.1 Put 0.04, 2/7, -3, 8 in descending order. 8, 2/7, 0.04, -3 Put 2, 2/5, -339, 0 in ascending order. -339, 0, 2/5, 2 Put -4, 0, 0.2, -6 in decreasing order. 0.2, 0, -4, -6 Put 5/4, 0.4, 0, 3 in descending order. 3, 5/4, 0.4, 0 Sort 701, 0.4, 0.1, -0.3 in decreasing order. 701, 0.4, 0.1, -0.3 Put -0.3, -1/47, 1/2, 3, -2 in descending order. 3, 1/2, -1/47, -0.3, -2 Put -3, 1/7, -290 in decreasing order. 1/7, -3, -290 Put 3, 5, -5, 1, 25 in increasing order. -5, 1, 3, 5, 25 Sort -5, -14, 0 in ascending order. -14, -5, 0 Sort 0.2, 0, 0.5, -2 in ascending order. -2, 0, 0.2, 0.5 Put -2, -1, -3, 3 in descending order. 3, -1, -2, -3 Put 9, -5, 2 in descending order. 9, 2, -5 Sort 2, 3, -2, 5, 0 in decreasing order. 5, 3, 2, 0, -2 Sort 136, 13, -3 in decreasing order. 136, 13, -3 Sort 1, -1, 2, -3 in ascending order. -3, -1, 1, 2 Put 1, 7, 135 in decreasing order. 135, 7, 1 Put -0.3, -258, 5, 1/4, -3 in ascending order. -258, -3, -0.3, 1/4, 5 Put 26, -8, 0 in increasing order. -8, 0, 26 Put 12, 0, -1 in descending order. 12, 0, -1 Put 0.01, 7, 28 in increasing order. 0.01, 7, 28 Sort -26, 4, 6, -1 in increasing order. -26, -1, 4, 6 Put 1, -4, 0, -3 in increasing order. -4, -3, 0, 1 Put -0.14, 2, -5, -1.4 in increasing order. -5, -1.4, -0.14, 2 Sort -3, 2/9, 2/7, 198/19. -3, 2/9, 2/7, 198/19 Sort 2, -0.07, 0.04, -0.5, 2/7. -0.5, -0.07, 0.04, 2/7, 2 Sort 12/5, 3/2, -2, 0. -2, 0, 3/2, 12/5 Sort -3, -1, 1/9 in decreasing order. 1/9, -1, -3 Sort -5/4, 2/9, -3.4, -27 in ascending order. -27, -3.4, -5/4, 2/9 Sort -33, 0.4, -1/5 in descending order. 0.4, -1/5, -33 Put -1, 1, 0, 251, 4 in decreasing order. 251, 4, 1, 0, -1 Sort 3, -3, 86 in ascending order. -3, 3, 86 Sort 3/4, 1.7, 5 in descending order. 5, 1.7, 3/4 Put 1, 160, 3, -4 in descending order. 160, 3, 1, -4 Put 5, 7, -50 in decreasing order. 7, 5, -50 Put -6/23, -2/59, 0 in descending order. 0, -2/59, -6/23 Put 4, 0, -219 in decreasing order. 4, 0, -219 Put 1, 1/5, -5, -8/3 in increasing order. -5, -8/3, 1/5, 1 Sort -1, -15, -8, 1. -15, -8, -1, 1 Sort 527/6, 1, -2/17, 3/4, 5 in ascending order. -2/17, 3/4, 1, 5, 527/6 Sort 3, 261, 18 in descending order. 261, 18, 3 Put 37, 278, -3 in increasing order. -3, 37, 278 Put 0.4, 10/7, 1/2, -2 in increasing order. -2, 0.4, 1/2, 10/7 Sort -1, -4, 80 in ascending order. -4, -1, 80 Put -3, 0.2, -1/26 in decreasing order. 0.2, -1/26, -3 Sort -5, 0, -5/9, 0.03, -2 in ascending order. -5, -2, -5/9, 0, 0.03 Put 5, -2/3, 3, -149 in ascending order. -149, -2/3, 3, 5 Put 2, 650, 4, 7 in decreasing order. 650, 7, 4, 2 Sort 1, -42, 5, 6. -42, 1, 5, 6 Put -4, 46, 5 in ascending order. -4, 5, 46 Sort -4, 0.02, 1/2, 2/17 in ascending order. -4, 0.02, 2/17, 1/2 Sort 1, -1, -2072 in descending order. 1, -1, -2072 Put -55, -1, 5, -3, -2 in ascending order. -55, -3, -2, -1, 5 Sort 2, -1.33, -2. -2, -1.33, 2 Sort -17, -284, -1 in decreasing order. -1, -17, -284 Put 0, -9, 8, -4, 2 in descending order. 8, 2, 0, -4, -9 Sort -1, 4, 7, -5. -5, -1, 4, 7 Sort 9, 2, 6, -4 in increasing order. -4, 2, 6, 9 Put -4, -2, -14 in increasing order. -14, -4, -2 Put 1, 5, 8, -199 in descending order. 8, 5, 1, -199 Sort -3, 3, -4, -2 in decreasing order. 3, -2, -3, -4 Sort 15, 0, -17, -4 in descending order. 15, 0, -4, -17 Sort 3, -5, -8, 2. -8, -5, 2, 3 Sort -42, -7, -0.4 in decreasing order. -0.4, -7, -42 Sort -0.6, -12, -5, -3, 1/3 in descending order. 1/3, -0.6, -3, -5, -12 Sort -12/5, -1/2, -22/5, 0, -2 in increasing order. -22/5, -12/5, -2, -1/2, 0 Sort 59/2, -2, -1/3, 0, -0.3. -2, -1/3, -0.3, 0, 59/2 Sort -5.3, 3/5, 5, -2/13. -5.3, -2/13, 3/5, 5 Put -5, 217, -2 in ascending order. -5, -2, 217 Put 2, 7, -1, 3, -3 in decreasing order. 7, 3, 2, -1, -3 Sort 0.3, -52, 2/11, -1/2, 2. -52, -1/2, 2/11, 0.3, 2 Sort -8, 4, -13 in descending order. 4, -8, -13 Put 13, 4, 3, -3 in ascending order. -3, 3, 4, 13 Sort 5, -3, 23, 0, -41 in descending order. 23, 5, 0, -3, -41 Sort -1/11, 1/5, -2, 0.35, -2.4 in increasing order. -2.4, -2, -1/11, 1/5, 0.35 Put -3, 4, -2, 3 in decreasing order. 4, 3, -2, -3 Sort 0.4, 6/7, 1. 0.4, 6/7, 1 Put 2, 16, 1/2, 0.028 in descending order. 16, 2, 1/2, 0.028 Sort 2, 107, 1 in descending order. 107, 2, 1 Sort -3, 4, 3, 163 in descending order. 163, 4, 3, -3 Put -188, 0, 5 in decreasing order. 5, 0, -188 Sort 4, -1, 332. -1, 4, 332 Sort 0.2, -161, 4, -0.1. -161, -0.1, 0.2, 4 Sort 0, 3, 5, -106 in decreasing order. 5, 3, 0, -106 Sort -1/5, 11/8, -0.3, -1, -3 in descending order. 11/8, -1/5, -0.3, -1, -3 Put 0.05, 1, -14/9, -1, 3 in increasing order. -14/9, -1, 0.05, 1, 3 Sort 3, 7, -3, 0. -3, 0, 3, 7 Put -0.1, 2, -1/2, -12 in decreasing order. 2, -0.1, -1/2, -12 Put 11, 4, -9 in decreasing order. 11, 4, -9 Sort -5, 2.1, 6/7, 0 in ascending order. -5, 0, 6/7, 2.1 Put 4, 0, -2, -4, -36 in descending order. 4, 0, -2, -4, -36 Sort -1, 2/11, -217, 2/9 in descending order. 2/9, 2/11, -1, -217 Put -3, 3, -65, 4 in ascending order. -65, -3, 3, 4 Sort -3, -1, -67, -4 in descending order. -1, -3, -4, -67 Sort 1, 319, -8 in ascending order. -8, 1, 319 Put 1/6, -5, -2/9, 4 in decreasing order. 4, 1/6, -2/9, -5 Put 8, -214, -3 in ascending order. -214, -3, 8 Sort 8, -0.4, -0.5, 7. -0.5, -0.4, 7, 8 Sort 3/2, 5, 4, -4, 0.66 in increasing order. -4, 0.66, 3/2, 4, 5 Put 0.4, -3/8, -4, 3 in descending order. 3, 0.4, -3/8, -4 Sort -1.3, -4/7, 0.5, -7. -7, -1.3, -4/7, 0.5 Put -29, 0.2, 4 in ascending order. -29, 0.2, 4 Put -0.3, -3/4, -0.2 in ascending order. -3/4, -0.3, -0.2 Sort 1, 0, 2/9, 0.22 in decreasing order. 1, 2/9, 0.22, 0 Put 0, 13, 4, 1, 2 in descending order. 13, 4, 2, 1, 0 Sort -61, -19, -3, -2 in decreasing order. -2, -3, -19, -61 Sort -3, -4, -16 in descending order. -3, -4, -16 Sort -3/2, -0.2, 35/2, 1/6 in descending order. 35/2, 1/6, -0.2, -3/2 Sort 8, 63, 0, 3, 2. 0, 2, 3, 8, 63 Sort 3, -1, 1.3, -9, -5. -9, -5, -1, 1.3, 3 Sort -11, -2, 4 in descending order. 4, -2, -11 Put -4, -2, -1 in increasing order. -4, -2, -1 Put 2/7, -2/7, -25, -2 in decreasing order. 2/7, -2/7, -2, -25 Sort 0.1, 4, 16, -0.1 in descending order. 16, 4, 0.1, -0.1 Sort 1/41, 4, -1. -1, 1/41, 4 Sort -0.6, -0.2, -5, 0 in decreasing order. 0, -0.2, -0.6, -5 Sort -5, -4154, 0 in decreasing order. 0, -5, -4154 Put 0, 34, -5 in ascending order. -5, 0, 34 Sort -130/7, 0.4, -0.1, 0 in decreasing order. 0.4, 0, -0.1, -130/7 Put -1, -5, -3, -29, -2 in decreasing order. -1, -2, -3, -5, -29 Sort 276, -5, 4, -4, -1 in decreasing order. 276, 4, -1, -4, -5 Put 0.1, 0.3, -2/7, -0.96, 0 in decreasing order. 0.3, 0.1, 0, -2/7, -0.96 Sort 20, -4, 6 in increasing order. -4, 6, 20 Put 28, 8, 2 in increasing order. 2, 8, 28 Sort 3, -88, 9 in decreasing order. 9, 3, -88 Sort 2, 11, 1, -4, -3 in descending order. 11, 2, 1, -3, -4 Sort -3, 5, -204. -204, -3, 5 Put 0, -850, -2 in ascending order. -850, -2, 0 Put -3, 0.1, -1, 3, -1.3 in ascending order. -3, -1.3, -1, 0.1, 3 Put -1, -3, -2, 2 in descending order. 2, -1, -2, -3 Sort -10, 3, 0 in ascending order. -10, 0, 3 Sort 0.14, 3, 0.4, -4/3 in ascending order. -4/3, 0.14, 0.4, 3 Sort -171, -3, 5, -4, -5 in descending order. 5, -3, -4, -5, -171 Put -18, -1, 3, 1 in decreasing order. 3, 1, -1, -18 Put 4, -5, -15, -0.2 in decreasing order. 4, -0.2, -5, -15 Sort -1, -10, 5, -24, 3. -24, -10, -1, 3, 5 Put -11/4, 2/5, 2, 0.2 in descending order. 2, 2/5, 0.2, -11/4 Put 5, -5, 220 in descending order. 220, 5, -5 Put 3, -5, 0, 0.1, 20 in increasing order. -5, 0, 0.1, 3, 20 Put -2/3, 82, 1/4, 5 in descending order. 82, 5, 1/4, -2/3 Put 3, 2, -26 in descending order. 3, 2, -26 Put 1/7, -0.5, -1, -1/4 in decreasing order. 1/7, -1/4, -0.5, -1 Sort 1, 11, -13. -13, 1, 11 Put -88, 15, -5 in ascending order. -88, -5, 15 Sort -1, 13, 105 in decreasing order. 105, 13, -1 Put 4, 1/4, 28 in descending order. 28, 4, 1/4 Sort -36, 0, 2, 3, 4 in descending order. 4, 3, 2, 0, -36 Sort 21, -4, 1. -4, 1, 21 Sort 390, 0, 4. 0, 4, 390 Put 134, 1, -18 in descending order. 134, 1, -18 Sort -4, 10, -18, 5 in ascending order. -18, -4, 5, 10 Sort 1/4, 1, -2/17, -117. -117, -2/17, 1/4, 1 Put 5/3, 3, -1, 7 in ascending order. -1, 5/3, 3, 7 Sort 3/4, -0.1, -0.
{ "pile_set_name": "DM Mathematics" }